DPF

CatPics.cpp (2240974B)

---

 /* (Auto-generated binary data file). */
 
 #include "CatPics.hpp"
 
 static const unsigned char temp_cat1_1[] = {
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    78,  25,  70,  80,  27,  72,  81,  28,  73,  79,  25,  72,  80,  27,  73,  81,  27,  74,  81,  27,  74,  83,  29,  76,  82,  26,  76,  84,  29,  77,  84,  28,  77,  83,  26,  77,  86,  29,  79,  86,  30,  79,  87,  29,  80,  87,  30,  81,  86,  28,  81,  88,  30,  83,  89,  30,  83,  89,  29,  83,  89,  28,  82,
    90,  30,  84,  91,  31,  84,  92,  33,  86,  92,  32,  86,  92,  33,  86,  94,  34,  87,  95,  39,  88,  96,  41,  89,  98,  43,  91,  94,  38,  88,  91,  32,  83,  89,  29,  83,  89,  31,  83,  87,  30,  82,  88,  30,  81,  85,  27,  78,  85,  29,  79,  84,  29,  78,  82,  27,  75,  80,  28,  75,  79,  29,  76,
    75,  25,  72,  79,  33,  76,  86,  49,  86,  89,  57,  90,  83,  51,  83,  71,  34,  68,  64,  22,  58,  62,  20,  56,  63,  22,  57,  62,  22,  56,  56,  18,  52,  53,  16,  50,  54,  20,  52,  55,  21,  51,  51,  17,  47,  48,  15,  45,  44,  13,  42,  43,  12,  39,  43,  10,  37,  42,  10,  37,  42,  10,  37,
    40,   9,  36,  41,  10,  37,  41,  10,  39,  40,   9,  38,  40,  11,  38,  42,  11,  39,  39,   8,  36,  40,   8,  38,  41,   9,  39,  39,   7,  35,  39,   9,  35,  39,   8,  35,  38,   9,  34,  37,   8,  33,  38,   9,  34,  38,   9,  35,  36,   7,  33,  38,   9,  34,  38,   9,  35,  37,   9,  35,  35,   8,  34,
    35,   8,  34,  37,   9,  34,  35,   8,  33,  36,   8,  33,  37,   8,  33,  38,   9,  34,  38,   9,  34,  37,  10,  34,  36,   9,  34,  39,  10,  36,  36,   9,  33,  37,   9,  35,  38,  11,  37,  38,   9,  35,  37,   8,  34,  38,  10,  36,  39,   9,  35,  38,   9,  35,  40,  11,  37,  39,  10,  35,  39,  10,  36,
    39,  10,  36,  40,  11,  37,  40,  11,  37,  40,  10,  36,  40,  11,  37,  40,  10,  36,  39,   9,  38,  41,  11,  40,  39,   9,  38,  40,  10,  39,  40,  10,  39,  40,  10,  39,  42,  12,  41,  42,  12,  41,  42,  12,  41,  42,  12,  41,  42,  12,  41,  43,  12,  41,  42,  11,  40,  42,  13,  39,  43,  14,  41,
    44,  15,  41,  45,  16,  42,  43,  14,  40,  43,  14,  40,  43,  16,  42,  45,  18,  44,  46,  20,  45,  47,  23,  46,  48,  28,  50,  50,  31,  53,  51,  33,  55,  56,  42,  64,  58,  45,  66,  60,  48,  70,  63,  53,  73,  66,  59,  78,  70,  66,  82,  74,  72,  88,  78,  78,  94,  80,  83,  97,  85,  92, 106,
    91,  99, 112,  97, 105, 118, 104, 114, 128, 110, 121, 136, 112, 122, 139, 116, 127, 143, 117, 130, 146, 117, 132, 148, 118, 133, 149, 117, 132, 149, 118, 134, 152, 118, 135, 154, 119, 135, 155, 116, 133, 153, 115, 132, 152, 113, 130, 150, 112, 129, 151, 111, 125, 148, 108, 124, 147, 108, 124, 147, 106, 122, 145,
   105, 121, 144, 100, 116, 139,  99, 115, 138,  92, 108, 131,  94, 107, 131,  90, 103, 125,  88, 101, 123,  87,  99, 121,  87,  98, 119,  85,  96, 116,  85,  96, 116,  85,  95, 115,  84,  93, 113,  82,  91, 111,  79,  87, 108,  78,  86, 109,  75,  84, 107,  71,  81, 104,  68,  78, 102,  66,  76, 101,  66,  75, 101,
    67,  76, 103,  65,  75, 102,  66,  75, 102,  64,  74, 101,  62,  71,  99,  60,  70,  96,  58,  65,  91,  56,  64,  88,  54,  59,  84,  51,  57,  80,  49,  55,  77,  50,  55,  75,  47,  50,  67,  49,  50,  64,  45,  45,  56,  43,  43,  53,  41,  39,  46,  36,  33,  37,  33,  29,  33,  33,  28,  30,  34,  29,  32,
    36,  29,  34,  38,  31,  36,  38,  30,  36,  39,  29,  37,  42,  31,  39,  42,  31,  40,  43,  32,  42,  45,  31,  42,  47,  33,  44,  46,  31,  42,  46,  32,  43,  46,  34,  44,  45,  35,  47,  47,  39,  52,  47,  47,  62,  57,  56,  75,  63,  64,  84,  70,  74,  94,  79,  85, 104,  89,  94, 113,  94,  98, 116,
    99, 103, 121, 102, 106, 124, 109, 109, 130, 111, 111, 130, 113, 111, 130, 113, 111, 127, 117, 111, 127, 120, 112, 125, 119, 109, 121, 120, 109, 121, 121, 109, 120, 117, 103, 116, 113,  98, 111, 109,  92, 105, 105,  88, 101,  97,  77,  89,  95,  74,  86,  94,  74,  86,  96,  78,  90, 101,  86,  98, 104,  93, 105,
    58,  14,  54,  58,  15,  54,  59,  15,  55,  58,  13,  54,  59,  15,  54,  60,  15,  54,  61,  17,  55,  60,  16,  55,  61,  16,  55,  61,  16,  55,  61,  16,  55,  60,  15,  54,  62,  17,  55,  62,  18,  57,  62,  16,  55,  62,  15,  56,  64,  18,  58,  64,  18,  58,  64,  18,  57,  66,  19,  58,  65,  18,  59,
    65,  18,  59,  65,  17,  60,  67,  18,  61,  68,  20,  62,  69,  21,  62,  70,  22,  62,  69,  22,  63,  69,  20,  62,  69,  20,  62,  70,  23,  64,  71,  22,  64,  71,  23,  65,  72,  23,  65,  73,  23,  66,  73,  24,  67,  72,  24,  66,  74,  24,  68,  76,  26,  69,  75,  24,  69,  76,  25,  69,  77,  27,  70,
    78,  25,  72,  78,  26,  72,  80,  26,  72,  81,  27,  72,  81,  27,  74,  82,  28,  75,  83,  29,  76,  81,  26,  75,  83,  28,  77,  83,  28,  77,  82,  27,  76,  86,  30,  79,  84,  27,  78,  85,  28,  79,  84,  27,  78,  87,  31,  81,  87,  29,  81,  88,  29,  82,  87,  29,  83,  89,  29,  84,  90,  32,  84,
    90,  30,  85,  90,  30,  84,  91,  31,  85,  92,  32,  86,  93,  33,  86,  92,  34,  85,  94,  36,  87,  95,  38,  88,  97,  41,  90,  95,  39,  88,  93,  37,  86,  88,  31,  83,  87,  29,  82,  88,  30,  83,  85,  28,  80,  86,  29,  79,  84,  28,  77,  83,  29,  76,  82,  30,  76,  80,  28,  75,  78,  33,  77,
    77,  33,  77,  78,  36,  76,  81,  49,  84,  91,  63,  94,  94,  67,  96,  78,  48,  78,  66,  32,  64,  62,  25,  59,  60,  22,  56,  63,  27,  59,  62,  28,  58,  56,  21,  54,  51,  18,  49,  51,  19,  49,  52,  20,  49,  47,  15,  44,  43,  12,  41,  42,  11,  38,  43,  11,  39,  42,  12,  37,  41,  10,  37,
    41,  10,  37,  40,   9,  36,  41,  10,  37,  40,  10,  38,  39,  10,  36,  39,   8,  35,  38,   9,  35,  39,  10,  36,  38,   9,  35,  39,   9,  36,  39,   9,  35,  38,   9,  35,  37,   8,  33,  38,   9,  34,  38,   9,  34,  36,   7,  32,  37,   8,  33,  38,   9,  35,  37,   8,  33,  37,   8,  34,  36,  10,  34,
    35,   9,  34,  34,   8,  32,  37,   8,  33,  38,   8,  34,  36,   8,  33,  37,   8,  33,  35,  10,  33,  36,  10,  34,  36,  10,  34,  38,  10,  35,  36,  10,  34,  37,  11,  35,  37,  10,  36,  38,  10,  36,  38,   9,  35,  39,  10,  36,  38,   9,  36,  39,  10,  36,  40,  11,  36,  39,  10,  35,  38,   9,  35,
    42,  13,  38,  39,  10,  36,  40,  11,  37,  40,  11,  37,  40,  11,  37,  41,  12,  38,  41,  12,  37,  40,  10,  38,  41,  11,  39,  40,  11,  39,  40,  10,  39,  42,  12,  41,  41,  11,  40,  40,  11,  40,  41,  12,  41,  41,  11,  40,  42,  12,  41,  42,  12,  41,  43,  14,  40,  42,  12,  39,  43,  14,  39,
    43,  14,  40,  42,  13,  39,  44,  15,  41,  44,  17,  43,  44,  18,  44,  46,  21,  44,  48,  24,  48,  49,  27,  48,  48,  28,  50,  52,  33,  54,  53,  37,  59,  55,  41,  62,  60,  49,  69,  61,  50,  70,  65,  58,  76,  67,  61,  79,  72,  69,  85,  74,  72,  88,  79,  79,  95,  81,  85,  99,  88,  95, 108,
    92, 100, 113,  97, 106, 120, 102, 113, 127, 110, 121, 135, 111, 122, 137, 114, 125, 140, 116, 130, 146, 116, 131, 147, 117, 132, 148, 118, 132, 150, 120, 135, 153, 118, 134, 153, 116, 133, 154, 116, 133, 154, 115, 132, 153, 113, 130, 151, 111, 128, 150, 110, 127, 149, 108, 125, 147, 108, 124, 147, 108, 124, 146,
   104, 120, 143, 101, 117, 140,  98, 114, 137,  97, 112, 135,  92, 105, 128,  90, 103, 125,  88, 101, 123,  90, 100, 122,  87,  98, 117,  85,  96, 116,  86,  97, 117,  86,  95, 115,  84,  94, 113,  81,  90, 110,  79,  88, 108,  78,  86, 108,  75,  85, 107,  68,  78, 102,  68,  79, 102,  67,  76, 102,  67,  75, 103,
    68,  76, 105,  68,  76, 105,  68,  77, 104,  66,  75, 102,  66,  75, 101,  61,  70,  96,  62,  69,  94,  57,  63,  88,  57,  61,  87,  53,  59,  82,  49,  55,  78,  49,  54,  75,  48,  51,  68,  46,  48,  62,  45,  45,  58,  44,  44,  54,  41,  40,  48,  36,  34,  39,  33,  30,  34,  30,  25,  29,  34,  28,  33,
    32,  26,  31,  34,  26,  32,  36,  29,  35,  37,  29,  36,  42,  31,  39,  41,  30,  38,  42,  31,  39,  43,  32,  41,  44,  33,  42,  43,  31,  41,  46,  33,  44,  45,  34,  45,  46,  36,  49,  46,  39,  53,  48,  46,  62,  55,  55,  73,  61,  62,  82,  69,  75,  94,  79,  85, 104,  89,  96, 113,  97, 101, 119,
   101, 105, 123, 105, 109, 128, 111, 113, 133, 113, 114, 134, 113, 114, 132, 117, 116, 133, 118, 114, 129, 119, 112, 126, 122, 112, 124, 122, 111, 123, 123, 111, 122, 121, 108, 120, 115, 100, 113, 110,  93, 106, 104,  87, 100,  97,  79,  92,  93,  73,  85,  92,  74,  85,  95,  78,  89,  99,  86,  97, 105,  94, 106,
    59,  16,  55,  59,  15,  56,  60,  16,  54,  59,  15,  55,  58,  12,  54,  60,  15,  54,  60,  15,  54,  60,  15,  54,  60,  15,  54,  61,  16,  55,  62,  17,  56,  61,  16,  55,  62,  17,  56,  63,  18,  56,  62,  18,  55,  62,  17,  56,  64,  19,  57,  63,  18,  56,  64,  19,  58,  65,  19,  59,  66,  18,  58,
    65,  17,  59,  68,  20,  62,  67,  19,  62,  68,  20,  62,  67,  19,  61,  68,  20,  61,  68,  21,  61,  68,  20,  62,  70,  22,  63,  71,  21,  62,  71,  21,  64,  72,  22,  64,  74,  25,  66,  72,  21,  65,  72,  23,  66,  72,  25,  67,  74,  23,  67,  75,  24,  68,  75,  23,  68,  77,  26,  70,  76,  25,  70,
    78,  25,  70,  79,  25,  71,  79,  25,  72,  80,  28,  74,  80,  26,  73,  80,  26,  73,  82,  28,  75,  82,  27,  76,  82,  27,  76,  83,  27,  76,  84,  29,  78,  84,  27,  78,  86,  30,  79,  85,  28,  78,  85,  28,  79,  87,  30,  81,  87,  28,  81,  87,  29,  82,  88,  29,  83,  89,  29,  83,  89,  30,  84,
    90,  31,  84,  91,  30,  84,  91,  31,  85,  91,  29,  84,  91,  31,  86,  91,  31,  85,  92,  33,  85,  94,  37,  87,  96,  38,  89,  96,  40,  89,  96,  40,  89,  91,  34,  86,  87,  30,  82,  86,  29,  81,  86,  28,  80,  84,  28,  78,  85,  30,  77,  82,  27,  75,  81,  27,  74,  79,  29,  74,  79,  35,  78,
    81,  39,  80,  80,  42,  78,  82,  55,  86,  89,  67,  96,  97,  77, 102,  89,  69,  94,  71,  47,  75,  60,  29,  60,  61,  25,  56,  64,  29,  59,  62,  28,  58,  59,  26,  56,  56,  26,  55,  52,  22,  51,  51,  20,  49,  47,  16,  45,  46,  15,  42,  42,  11,  38,  42,  10,  37,  42,  12,  37,  42,  11,  38,
    40,   9,  36,  40,  10,  37,  40,  10,  36,  39,  10,  36,  38,   9,  35,  38,   9,  35,  39,  10,  36,  38,   9,  36,  39,  10,  36,  38,   9,  35,  38,   9,  34,  37,   8,  33,  36,   7,  32,  38,   9,  34,  38,   9,  34,  36,   7,  32,  36,   7,  32,  37,   8,  34,  37,   8,  33,  36,   7,  33,  35,   9,  34,
    35,   9,  33,  36,  10,  34,  37,   7,  32,  38,   8,  33,  37,   9,  33,  38,  10,  35,  35,   9,  33,  36,  10,  34,  36,  10,  34,  39,  13,  37,  36,  10,  34,  36,  10,  34,  36,   9,  36,  37,   8,  35,  39,  10,  36,  38,   9,  35,  39,  10,  35,  38,   9,  34,  39,  10,  35,  38,   9,  34,  39,  10,  36,
    40,  11,  36,  40,  11,  37,  39,  10,  36,  39,  10,  36,  39,  10,  36,  39,  10,  36,  40,  11,  37,  41,  12,  38,  40,  11,  37,  41,  12,  38,  39,  10,  38,  40,  10,  39,  41,  12,  39,  41,  11,  40,  41,  11,  40,  42,  13,  40,  41,  12,  38,  42,  13,  39,  41,  12,  38,  42,  13,  39,  43,  13,  40,
    42,  13,  39,  44,  14,  40,  43,  15,  41,  43,  17,  43,  42,  17,  43,  45,  21,  45,  46,  22,  46,  48,  27,  50,  49,  29,  51,  52,  34,  55,  54,  40,  60,  55,  44,  64,  60,  49,  69,  62,  53,  72,  65,  59,  76,  65,  61,  77,  69,  67,  83,  74,  73,  89,  78,  80,  95,  81,  86, 100,  84,  92, 105,
    90,  98, 111,  99, 109, 122, 103, 114, 128, 110, 121, 135, 110, 121, 135, 113, 124, 138, 114, 129, 142, 115, 130, 146, 117, 132, 148, 116, 131, 149, 116, 131, 150, 118, 134, 153, 115, 132, 153, 113, 131, 152, 115, 132, 153, 112, 129, 150, 111, 128, 150, 109, 126, 148, 107, 125, 146, 106, 124, 145, 106, 123, 144,
   103, 120, 142, 101, 115, 138,  98, 112, 135,  95, 109, 131,  92, 106, 129,  90, 103, 125,  87, 101, 123,  88,  99, 118,  86,  97, 117,  85,  96, 115,  86,  96, 115,  86,  95, 114,  81,  92, 110,  82,  91, 111,  80,  89, 109,  77,  86, 105,  72,  83, 105,  71,  82, 104,  68,  78, 102,  67,  76, 102,  67,  76, 104,
    67,  75, 104,  67,  75, 104,  67,  75, 103,  66,  76, 103,  64,  73, 100,  63,  73,  98,  62,  69,  94,  58,  64,  89,  57,  62,  87,  54,  60,  83,  53,  57,  81,  50,  56,  76,  50,  53,  71,  48,  49,  64,  45,  45,  58,  46,  45,  55,  39,  38,  46,  35,  34,  38,  36,  33,  38,  30,  24,  29,  31,  24,  28,
    31,  24,  27,  32,  23,  28,  34,  25,  31,  34,  27,  34,  39,  28,  36,  40,  29,  37,  41,  30,  38,  42,  31,  40,  42,  31,  41,  43,  33,  43,  42,  32,  42,  43,  34,  45,  45,  38,  50,  44,  38,  52,  48,  46,  62,  55,  55,  72,  61,  63,  81,  69,  75,  94,  78,  84, 103,  90,  96, 114,  96, 102, 119,
   102, 106, 124, 109, 113, 132, 112, 116, 136, 114, 116, 136, 116, 116, 135, 117, 117, 134, 120, 117, 132, 121, 116, 128, 123, 115, 128, 123, 113, 125, 124, 112, 124, 120, 107, 119, 116, 101, 113, 110,  92, 106, 104,  87, 101,  98,  80,  91,  94,  76,  88,  91,  74,  85,  95,  79,  90,  98,  85,  96, 104,  93, 105,
    57,  15,  54,  58,  15,  55,  59,  15,  55,  59,  15,  54,  60,  16,  55,  60,  15,  54,  59,  15,  54,  61,  18,  56,  61,  17,  56,  59,  14,  53,  62,  18,  56,  62,  16,  56,  62,  17,  56,  61,  16,  54,  63,  18,  56,  64,  20,  57,  63,  18,  57,  63,  18,  57,  64,  19,  58,  65,  20,  58,  66,  17,  59,
    66,  18,  60,  67,  19,  61,  67,  19,  61,  68,  20,  61,  66,  18,  60,  68,  21,  60,  68,  21,  60,  69,  22,  61,  69,  21,  62,  70,  23,  63,  70,  22,  63,  72,  23,  65,  72,  22,  64,  72,  22,  65,  73,  24,  66,  73,  23,  65,  75,  24,  68,  74,  24,  67,  77,  26,  69,  76,  25,  69,  76,  24,  69,
    78,  27,  72,  79,  25,  72,  79,  25,  72,  81,  26,  73,  81,  27,  74,  81,  27,  74,  81,  27,  74,  81,  26,  75,  82,  27,  76,  85,  30,  78,  84,  29,  78,  85,  29,  78,  85,  30,  79,  85,  29,  79,  87,  30,  80,  85,  28,  79,  87,  29,  81,  88,  30,  83,  88,  28,  82,  88,  30,  84,  89,  29,  83,
    90,  31,  85,  90,  31,  85,  91,  30,  85,  92,  32,  86,  92,  31,  85,  92,  32,  86,  91,  31,  85,  93,  31,  85,  93,  34,  87,  97,  41,  90,  96,  41,  90,  94,  41,  89,  87,  30,  82,  86,  30,  80,  86,  30,  79,  85,  29,  77,  85,  31,  78,  80,  25,  73,  80,  27,  74,  78,  30,  74,  79,  35,  77,
    82,  42,  79,  84,  49,  82,  89,  65,  94,  96,  79, 104, 102,  89, 110,  98,  85, 106,  84,  68,  89,  69,  45,  69,  62,  31,  58,  62,  30,  59,  63,  32,  61,  61,  31,  60,  58,  31,  59,  56,  30,  56,  51,  24,  52,  51,  23,  48,  49,  19,  46,  46,  16,  40,  41,  11,  37,  41,  11,  36,  41,  11,  36,
    40,  11,  37,  40,  11,  37,  39,  10,  36,  40,  11,  37,  39,  10,  36,  40,  11,  36,  39,  10,  35,  39,  10,  35,  38,   9,  34,  38,   8,  34,  38,   9,  34,  38,   9,  34,  38,   9,  34,  37,   8,  33,  37,   8,  33,  37,   8,  33,  37,   8,  33,  36,   7,  32,  37,   8,  34,  38,   9,  35,  34,   9,  33,
    35,   9,  33,  35,   9,  33,  35,   8,  32,  36,   9,  34,  37,   8,  33,  36,   8,  33,  35,   9,  33,  35,   9,  33,  36,  10,  34,  35,   9,  33,  36,  10,  34,  36,   7,  33,  36,  10,  34,  36,  10,  35,  38,  10,  35,  36,   9,  34,  38,   9,  34,  39,  10,  35,  38,   9,  34,  39,  10,  35,  38,   9,  34,
    40,  11,  37,  40,  11,  37,  39,  10,  36,  40,  11,  37,  39,  10,  36,  40,  11,  37,  40,  11,  36,  38,   9,  36,  40,  11,  37,  41,  12,  38,  40,  11,  37,  41,  12,  39,  40,  11,  38,  41,  11,  39,  42,  12,  40,  41,  13,  39,  40,  12,  38,  42,  13,  39,  43,  14,  40,  42,  14,  40,  40,  13,  39,
    40,  14,  40,  41,  14,  40,  41,  16,  42,  42,  17,  43,  43,  18,  44,  45,  21,  45,  46,  24,  48,  49,  29,  50,  50,  33,  54,  53,  37,  56,  56,  42,  63,  58,  46,  66,  61,  52,  69,  63,  55,  72,  65,  59,  76,  69,  65,  82,  69,  67,  83,  74,  74,  89,  79,  81,  96,  81,  87, 100,  86,  94, 107,
    91, 100, 113,  98, 107, 121, 101, 113, 127, 110, 121, 135, 112, 122, 136, 110, 123, 137, 112, 126, 141, 115, 130, 146, 116, 131, 147, 117, 132, 150, 116, 132, 149, 116, 132, 151, 116, 133, 154, 114, 131, 152, 112, 130, 151, 112, 129, 150, 110, 126, 148, 109, 126, 147, 105, 123, 144, 104, 122, 143, 103, 121, 142,
   102, 119, 140,  99, 114, 137,  97, 111, 134,  95, 109, 132,  92, 106, 128,  90, 103, 125,  86,  99, 121,  88,  99, 119,  86,  97, 117,  85,  97, 115,  86,  96, 114,  84,  94, 112,  82,  92, 111,  80,  89, 109,  79,  88, 108,  77,  86, 106,  74,  83, 105,  71,  81, 104,  68,  78, 103,  67,  76, 103,  67,  75, 104,
    68,  76, 105,  68,  76, 105,  67,  75, 104,  67,  76, 103,  65,  74, 101,  64,  73,  99,  63,  70,  97,  62,  68,  93,  57,  62,  87,  56,  60,  84,  54,  59,  80,  50,  56,  75,  49,  53,  71,  48,  50,  65,  46,  46,  59,  45,  44,  55,  41,  40,  49,  37,  35,  41,  34,  31,  35,  32,  27,  31,  31,  24,  27,
    30,  21,  24,  31,  21,  27,  33,  23,  28,  35,  25,  31,  37,  26,  34,  40,  29,  37,  40,  29,  37,  41,  30,  39,  39,  30,  38,  41,  32,  41,  41,  33,  41,  41,  33,  43,  42,  37,  48,  44,  39,  55,  48,  46,  62,  54,  54,  70,  62,  64,  80,  71,  75,  93,  82,  86, 105,  89,  96, 113,  98, 103, 121,
   104, 109, 129, 110, 113, 134, 111, 114, 135, 118, 121, 142, 119, 119, 139, 120, 119, 138, 122, 120, 136, 124, 118, 133, 124, 117, 130, 123, 114, 126, 125, 115, 127, 121, 108, 120, 117, 103, 114, 110,  95, 106, 105,  89, 100,  97,  80,  92,  91,  74,  85,  91,  74,  85,  93,  78,  89,  97,  84,  95, 104,  95, 105,
    56,  14,  52,  57,  14,  53,  57,  13,  53,  58,  14,  53,  57,  13,  52,  60,  16,  55,  60,  15,  54,  59,  15,  54,  60,  16,  54,  62,  17,  56,  62,  17,  55,  60,  14,  54,  61,  16,  55,  62,  16,  55,  63,  18,  55,  63,  18,  55,  61,  17,  55,  63,  18,  57,  63,  17,  57,  65,  18,  58,  65,  18,  58,
    67,  19,  61,  66,  18,  60,  65,  18,  59,  68,  20,  62,  66,  18,  60,  66,  18,  60,  69,  22,  62,  69,  21,  61,  68,  20,  61,  69,  21,  62,  71,  22,  64,  70,  23,  63,  70,  22,  64,  72,  23,  65,  72,  23,  65,  74,  23,  65,  75,  25,  66,  74,  23,  67,  75,  24,  68,  75,  24,  68,  77,  26,  70,
    76,  22,  69,  78,  24,  71,  78,  23,  71,  81,  27,  74,  80,  26,  73,  83,  29,  76,  82,  27,  75,  82,  26,  75,  83,  27,  76,  84,  28,  77,  83,  27,  76,  84,  28,  78,  85,  30,  78,  85,  28,  79,  85,  28,  79,  85,  28,  79,  85,  28,  79,  88,  30,  81,  88,  28,  81,  89,  30,  83,  89,  32,  84,
    89,  29,  83,  90,  30,  85,  90,  30,  84,  92,  31,  85,  91,  30,  85,  92,  31,  85,  93,  33,  87,  92,  32,  85,  92,  32,  86,  94,  36,  88,  94,  38,  89,  94,  40,  89,  92,  37,  86,  86,  31,  79,  84,  30,  77,  84,  29,  76,  82,  29,  76,  81,  28,  75,  79,  28,  74,  77,  29,  73,  78,  35,  75,
    80,  41,  77,  86,  54,  84,  94,  74, 101, 104,  94, 116, 120, 118, 138, 119, 117, 136, 103, 100, 118,  78,  70,  90,  67,  47,  70,  60,  34,  61,  58,  29,  58,  57,  29,  58,  61,  35,  64,  61,  36,  63,  60,  35,  61,  55,  29,  55,  50,  23,  47,  45,  16,  40,  42,  12,  37,  41,  11,  36,  41,  12,  37,
    39,  10,  36,  40,  11,  37,  40,  11,  37,  38,   9,  35,  38,   9,  34,  39,  10,  35,  36,   8,  33,  37,  10,  35,  37,  10,  34,  36,   8,  33,  36,   7,  33,  37,   8,  33,  34,   9,  33,  36,   9,  33,  35,   8,  31,  35,   8,  33,  36,   9,  33,  35,   9,  33,  36,   7,  32,  36,   8,  33,  36,   8,  33,
    35,   8,  32,  35,   8,  32,  37,   8,  33,  37,   8,  33,  37,   8,  33,  37,   9,  33,  35,   9,  33,  36,  10,  34,  34,   8,  32,  36,  10,  34,  35,   9,  33,  36,   8,  33,  37,  10,  35,  36,  10,  35,  36,   8,  33,  37,   9,  33,  38,  10,  34,  37,   9,  34,  39,  10,  35,  37,   8,  33,  38,  11,  35,
    37,   9,  35,  38,   9,  34,  39,  10,  36,  39,  10,  36,  40,  11,  37,  39,  10,  36,  40,  11,  37,  39,  10,  36,  40,  10,  36,  41,  12,  38,  39,  10,  36,  39,  10,  36,  41,  12,  38,  41,  12,  38,  39,  10,  36,  41,  13,  39,  42,  13,  39,  41,  13,  39,  40,  12,  38,  41,  12,  38,  42,  15,  41,
    41,  14,  40,  40,  14,  40,  43,  18,  44,  43,  19,  43,  43,  19,  44,  43,  21,  45,  48,  27,  50,  49,  31,  51,  50,  33,  54,  55,  39,  59,  58,  45,  65,  61,  50,  70,  61,  53,  69,  65,  57,  74,  64,  58,  75,  69,  65,  81,  71,  69,  85,  74,  75,  90,  77,  82,  95,  82,  88, 101,  87,  95, 108,
    92, 101, 114,  98, 107, 121, 103, 115, 129, 110, 121, 135, 111, 122, 136, 111, 124, 138, 114, 130, 144, 114, 129, 145, 117, 131, 149, 116, 132, 149, 116, 131, 150, 115, 132, 151, 115, 132, 151, 113, 130, 151, 111, 128, 149, 110, 127, 148, 109, 126, 147, 106, 124, 146, 103, 121, 143, 103, 122, 143, 103, 120, 141,
   101, 118, 139, 100, 114, 137,  97, 111, 133,  94, 108, 130,  92, 106, 128,  90, 103, 125,  85,  99, 119,  87,  98, 118,  86,  97, 117,  84,  96, 114,  86,  96, 114,  84,  94, 112,  82,  91, 110,  79,  88, 108,  79,  88, 108,  76,  85, 105,  73,  81, 104,  70,  80, 103,  69,  78, 103,  66,  75, 102,  68,  75, 105,
    68,  76, 105,  69,  77, 106,  68,  76, 105,  67,  76, 103,  68,  77, 104,  66,  75, 102,  63,  71,  98,  61,  67,  92,  59,  64,  89,  55,  60,  83,  55,  59,  80,  53,  57,  76,  49,  53,  71,  52,  54,  68,  45,  45,  58,  45,  46,  56,  40,  39,  49,  35,  33,  39,  36,  32,  37,  32,  27,  31,  29,  23,  25,
    29,  21,  22,  29,  21,  22,  29,  21,  22,  32,  23,  26,  35,  25,  32,  37,  26,  33,  39,  28,  36,  38,  30,  38,  39,  31,  39,  39,  31,  38,  39,  32,  39,  40,  32,  42,  42,  37,  48,  43,  40,  54,  46,  45,  61,  54,  54,  70,  62,  64,  81,  69,  72,  90,  81,  85, 103,  91,  98, 115,  98, 104, 123,
   105, 111, 130, 111, 115, 136, 114, 119, 140, 116, 120, 140, 119, 120, 140, 122, 121, 139, 125, 124, 140, 126, 121, 137, 124, 117, 132, 126, 116, 129, 124, 114, 126, 123, 110, 122, 117, 103, 114, 112,  96, 107, 105,  89, 100,  97,  81,  92,  93,  76,  87,  92,  75,  86,  94,  79,  90,  96,  84,  95, 103,  93, 103,
    57,  17,  54,  58,  15,  53,  57,  14,  53,  58,  14,  54,  59,  15,  54,  60,  15,  54,  58,  14,  53,  60,  16,  55,  61,  16,  55,  61,  16,  54,  61,  16,  55,  62,  17,  56,  62,  17,  56,  63,  16,  55,  63,  17,  55,  63,  17,  56,  63,  17,  56,  63,  17,  57,  64,  18,  58,  65,  18,  58,  65,  17,  58,
    66,  18,  59,  66,  17,  59,  66,  17,  60,  67,  19,  60,  67,  19,  61,  67,  20,  60,  69,  21,  61,  68,  20,  61,  70,  21,  63,  69,  22,  62,  71,  23,  63,  70,  22,  64,  72,  25,  66,  70,  22,  64,  72,  23,  65,  73,  23,  66,  74,  24,  67,  75,  24,  68,  75,  24,  68,  76,  25,  69,  77,  26,  70,
    77,  24,  69,  79,  26,  71,  79,  26,  72,  79,  24,  71,  81,  27,  74,  81,  25,  73,  81,  26,  74,  83,  27,  75,  82,  27,  74,  83,  27,  76,  85,  30,  77,  83,  27,  76,  84,  28,  77,  85,  28,  78,  86,  30,  79,  86,  29,  80,  86,  29,  80,  87,  30,  81,  88,  30,  81,  88,  28,  82,  90,  30,  82,
    90,  32,  83,  90,  30,  83,  92,  32,  85,  92,  32,  85,  93,  33,  85,  93,  34,  85,  92,  31,  85,  93,  32,  86,  91,  30,  84,  91,  33,  85,  93,  36,  87,  96,  41,  90,  94,  40,  88,  89,  35,  82,  83,  29,  76,  82,  30,  74,  81,  29,  75,  79,  27,  73,  78,  29,  74,  78,  31,  74,  78,  34,  74,
    80,  42,  78,  83,  52,  84,  92,  74, 100, 112, 108, 130, 149, 148, 163, 154, 156, 169, 134, 140, 156, 102, 108, 126,  78,  75,  94,  64,  48,  68,  56,  34,  58,  54,  29,  57,  61,  37,  64,  65,  43,  68,  63,  41,  66,  62,  39,  64,  56,  33,  55,  48,  23,  45,  44,  17,  40,  41,  13,  38,  41,  12,  38,
    39,  10,  36,  40,  11,  37,  38,   9,  35,  37,   8,  34,  38,   9,  34,  38,  11,  35,  37,  11,  35,  37,  11,  35,  37,   9,  34,  37,   8,  34,  36,   9,  33,  35,   9,  33,  35,   9,  33,  35,   9,  32,  35,   9,  32,  35,   9,  32,  34,   8,  32,  35,   9,  33,  35,   9,  33,  37,   9,  34,  36,   8,  33,
    37,   8,  33,  38,   9,  34,  37,   8,  33,  37,   8,  33,  37,   8,  33,  35,   9,  33,  36,  10,  34,  35,   9,  33,  36,  10,  34,  35,   9,  33,  36,  10,  34,  36,  10,  34,  37,  11,  34,  37,  10,  35,  36,  10,  34,  36,  10,  34,  36,  10,  34,  36,  10,  34,  38,   9,  34,  39,  10,  35,  40,  11,  36,
    39,  10,  35,  39,  10,  35,  39,  10,  36,  38,   9,  35,  39,  10,  36,  40,  11,  37,  40,  11,  37,  39,  11,  37,  39,  12,  38,  38,  11,  37,  39,  11,  37,  41,  12,  38,  42,  13,  39,  41,  12,  38,  41,  12,  38,  40,  12,  38,  40,  12,  38,  40,  13,  39,  40,  13,  39,  42,  14,  40,  41,  14,  40,
    42,  14,  40,  39,  15,  39,  42,  18,  42,  44,  19,  44,  43,  20,  44,  45,  23,  47,  48,  28,  50,  51,  34,  55,  55,  38,  59,  56,  42,  62,  60,  48,  67,  61,  50,  70,  62,  53,  73,  64,  56,  75,  67,  61,  79,  69,  65,  81,  71,  69,  85,  75,  77,  91,  79,  84,  97,  82,  89, 101,  88,  95, 109,
    93, 102, 115,  99, 108, 122, 103, 114, 128, 109, 120, 134, 109, 120, 134, 112, 125, 139, 112, 127, 143, 115, 129, 146, 113, 130, 147, 116, 132, 148, 115, 132, 151, 115, 132, 151, 113, 130, 149, 113, 130, 150, 112, 129, 150, 107, 125, 148, 108, 124, 147, 106, 123, 145, 104, 122, 145, 103, 121, 144, 102, 118, 141,
   101, 116, 139, 100, 114, 137,  96, 110, 133,  94, 108, 131,  91, 104, 127,  89, 103, 124,  90, 101, 121,  85,  96, 116,  86,  96, 116,  85,  96, 115,  85,  95, 113,  84,  93, 112,  81,  90, 109,  80,  89, 109,  79,  88, 108,  75,  85, 105,  74,  83, 105,  68,  80, 102,  68,  78, 102,  67,  76, 103,  68,  77, 104,
    69,  77, 106,  68,  76, 105,  68,  77, 105,  68,  77, 104,  69,  78, 105,  65,  74, 101,  66,  73, 100,  61,  68,  95,  60,  65,  90,  57,  61,  85,  55,  59,  81,  55,  59,  78,  52,  55,  74,  51,  52,  68,  47,  48,  59,  44,  44,  54,  42,  41,  50,  38,  36,  42,  34,  33,  37,  32,  28,  32,  27,  22,  24,
    29,  23,  24,  28,  20,  21,  28,  19,  20,  31,  20,  22,  33,  24,  25,  35,  26,  30,  38,  28,  34,  38,  28,  36,  38,  30,  37,  38,  30,  38,  38,  31,  39,  40,  33,  43,  40,  36,  46,  40,  39,  53,  46,  44,  62,  54,  54,  72,  63,  63,  81,  71,  73,  90,  85,  89, 105,  90,  97, 114,  99, 106, 124,
   103, 108, 128, 113, 116, 137, 116, 118, 139, 118, 121, 143, 123, 124, 145, 124, 123, 143, 125, 122, 142, 125, 121, 137, 127, 120, 135, 126, 116, 131, 124, 114, 127, 124, 112, 124, 119, 105, 116, 111,  96, 109, 106,  90, 100,  98,  82,  93,  95,  78,  89,  91,  74,  85,  92,  78,  89,  95,  84,  94, 102,  94, 104,
    56,  17,  53,  57,  16,  54,  57,  13,  52,  58,  14,  53,  58,  13,  52,  58,  15,  54,  59,  14,  53,  60,  15,  54,  61,  16,  54,  60,  15,  54,  60,  15,  54,  60,  15,  55,  62,  16,  56,  62,  16,  55,  63,  18,  56,  63,  17,  56,  63,  18,  57,  63,  17,  57,  64,  17,  57,  65,  18,  59,  66,  19,  59,
    65,  17,  59,  66,  17,  59,  66,  18,  60,  66,  18,  60,  67,  19,  60,  67,  21,  61,  68,  21,  60,  67,  19,  61,  68,  20,  61,  70,  22,  62,  69,  21,  62,  70,  22,  64,  69,  21,  63,  70,  22,  65,  72,  24,  66,  73,  22,  66,  74,  23,  67,  75,  24,  68,  75,  24,  68,  75,  24,  68,  75,  24,  68,
    76,  23,  69,  79,  25,  70,  79,  25,  71,  80,  25,  72,  81,  25,  74,  82,  26,  75,  82,  26,  75,  82,  27,  75,  83,  28,  76,  82,  26,  75,  83,  28,  76,  83,  27,  75,  85,  29,  77,  85,  30,  78,  84,  27,  78,  86,  29,  80,  86,  29,  81,  86,  29,  80,  88,  30,  81,  89,  29,  82,  89,  30,  81,
    90,  31,  83,  89,  31,  83,  91,  33,  84,  90,  31,  82,  90,  30,  81,  92,  33,  84,  93,  31,  85,  92,  32,  85,  90,  29,  84,  90,  31,  83,  91,  34,  85,  95,  39,  89,  96,  43,  90,  91,  39,  84,  85,  34,  78,  84,  34,  78,  84,  34,  77,  82,  36,  78,  82,  36,  78,  83,  38,  80,  82,  40,  79,
    81,  44,  79,  84,  54,  85,  89,  71,  98, 114, 111, 133, 154, 154, 168, 174, 175, 186, 166, 171, 181, 140, 149, 163, 107, 114, 131,  79,  78,  96,  58,  48,  68,  52,  33,  53,  57,  35,  58,  68,  47,  72,  72,  52,  75,  70,  50,  73,  63,  43,  64,  56,  34,  56,  47,  25,  46,  40,  15,  39,  40,  13,  38,
    40,  10,  37,  38,   9,  35,  39,  10,  36,  38,   9,  34,  39,  10,  35,  36,  11,  34,  38,  12,  36,  36,  10,  34,  36,   8,  32,  35,   8,  33,  35,   9,  33,  35,   9,  32,  34,   8,  31,  35,   9,  32,  34,   8,  32,  33,   8,  33,  33,   9,  33,  36,  10,  34,  33,   7,  30,  35,   9,  32,  35,   9,  33,
    37,   8,  33,  37,   8,  33,  37,   8,  33,  36,   7,  32,  37,   8,  33,  35,   9,  33,  35,   9,  33,  35,   9,  33,  36,  10,  34,  35,   9,  33,  35,   9,  33,  34,   8,  32,  36,  10,  34,  36,   9,  35,  36,  10,  34,  35,   9,  33,  36,  10,  34,  36,  10,  34,  38,   9,  34,  38,   9,  34,  38,   9,  35,
    40,  10,  35,  38,  10,  35,  39,  10,  35,  40,  11,  36,  39,  10,  36,  39,  10,  36,  39,  11,  37,  37,  10,  36,  39,  12,  38,  38,  11,  37,  40,  13,  39,  38,  11,  37,  38,  12,  38,  40,  11,  37,  39,  11,  37,  39,  12,  38,  40,  13,  39,  39,  12,  38,  41,  14,  40,  40,  13,  39,  39,  12,  38,
    40,  13,  39,  40,  16,  40,  43,  19,  43,  43,  20,  44,  44,  22,  45,  48,  28,  50,  49,  30,  52,  55,  38,  59,  57,  42,  63,  59,  46,  66,  62,  51,  70,  62,  51,  71,  62,  53,  73,  66,  58,  78,  67,  61,  80,  69,  68,  85,  74,  74,  90,  77,  80,  95,  79,  84,  98,  84,  90, 104,  87,  95, 109,
    93, 102, 116,  99, 109, 123, 104, 115, 129, 107, 119, 133, 110, 123, 137, 112, 125, 139, 113, 127, 144, 113, 128, 145, 115, 131, 148, 114, 130, 147, 112, 129, 148, 113, 130, 149, 112, 131, 150, 111, 129, 149, 110, 128, 150, 107, 125, 148, 105, 123, 146, 105, 122, 145, 105, 121, 144, 104, 120, 143, 101, 117, 140,
   101, 115, 138,  98, 112, 135,  96, 110, 133,  94, 108, 131,  90, 103, 127,  89, 102, 124,  88,  99, 119,  87,  97, 117,  85,  95, 115,  87,  96, 116,  83,  93, 113,  82,  92, 112,  79,  88, 109,  79,  88, 108,  79,  88, 108,  75,  84, 105,  74,  82, 105,  68,  80, 102,  68,  78, 102,  65,  75, 102,  68,  76, 104,
    68,  76, 105,  68,  76, 105,  69,  77, 106,  71,  79, 107,  69,  78, 105,  68,  77, 104,  65,  72,  99,  63,  69,  96,  62,  67,  92,  59,  63,  88,  58,  62,  84,  55,  58,  79,  53,  55,  74,  51,  52,  68,  48,  49,  61,  44,  46,  55,  42,  41,  51,  37,  36,  43,  35,  34,  38,  30,  29,  32,  28,  24,  26,
    28,  22,  24,  29,  21,  22,  28,  19,  20,  29,  18,  20,  32,  21,  23,  31,  23,  26,  35,  25,  31,  38,  29,  35,  37,  29,  36,  39,  30,  39,  38,  31,  38,  39,  32,  42,  41,  37,  47,  40,  39,  54,  47,  46,  63,  53,  53,  72,  61,  63,  81,  71,  73,  91,  82,  85, 103,  91,  96, 113, 101, 106, 125,
   107, 112, 132, 114, 117, 138, 116, 119, 140, 121, 124, 145, 123, 124, 145, 127, 125, 145, 128, 126, 145, 129, 124, 142, 129, 120, 137, 127, 117, 134, 127, 117, 129, 125, 113, 125, 120, 107, 119, 112,  98, 109, 104,  90, 101,  98,  83,  94,  91,  75,  86,  92,  77,  88,  91,  78,  89,  97,  86,  96, 103,  94, 104,
    57,  18,  55,  57,  17,  55,  60,  16,  55,  59,  16,  54,  60,  16,  55,  59,  15,  54,  61,  17,  56,  59,  15,  54,  60,  16,  54,  61,  16,  54,  62,  17,  56,  61,  16,  56,  61,  17,  55,  62,  17,  56,  62,  16,  55,  63,  18,  56,  62,  17,  56,  63,  18,  57,  65,  17,  58,  65,  17,  58,  66,  19,  58,
    66,  18,  59,  65,  16,  59,  66,  18,  60,  67,  18,  60,  66,  18,  61,  68,  19,  60,  69,  22,  61,  68,  20,  62,  68,  21,  61,  69,  21,  63,  70,  22,  63,  69,  21,  63,  72,  24,  65,  71,  24,  63,  71,  22,  65,  74,  24,  66,  73,  24,  67,  75,  24,  67,  76,  25,  68,  76,  25,  68,  76,  24,  68,
    78,  24,  71,  79,  26,  70,  79,  25,  72,  80,  25,  72,  80,  24,  73,  82,  26,  75,  81,  26,  75,  82,  27,  76,  82,  27,  76,  83,  28,  77,  85,  29,  77,  84,  28,  77,  85,  30,  77,  86,  30,  80,  87,  31,  80,  86,  30,  80,  87,  31,  81,  87,  30,  81,  89,  30,  81,  88,  29,  80,  91,  32,  83,
    91,  32,  83,  91,  32,  83,  90,  31,  82,  92,  33,  84,  92,  34,  84,  92,  31,  82,  92,  31,  86,  91,  31,  85,  91,  33,  84,  90,  33,  84,  89,  32,  82,  92,  37,  86,  96,  44,  91,  94,  44,  88,  89,  41,  85,  86,  38,  82,  86,  40,  82,  86,  41,  83,  84,  42,  83,  84,  44,  82,  84,  48,  84,
    84,  52,  86,  84,  57,  87,  87,  68,  95, 101,  97, 119, 145, 146, 162, 173, 177, 186, 180, 185, 194, 172, 177, 187, 149, 156, 167, 118, 125, 139,  89,  92, 108,  62,  60,  77,  58,  44,  62,  64,  46,  67,  79,  62,  85,  79,  62,  84,  72,  56,  75,  60,  41,  63,  55,  34,  56,  48,  25,  47,  41,  15,  39,
    39,  12,  36,  39,  12,  37,  39,   9,  35,  38,   9,  34,  36,   9,  33,  38,  12,  36,  36,  10,  34,  35,   9,  32,  35,   9,  32,  35,   9,  32,  35,   9,  32,  34,   8,  31,  34,   8,  32,  34,   8,  31,  32,   9,  32,  33,   9,  33,  32,   8,  32,  34,  10,  32,  34,   8,  31,  35,   9,  32,  35,   9,  32,
    36,  10,  34,  36,  11,  35,  37,   7,  32,  36,   7,  32,  36,   9,  33,  35,   9,  33,  36,  10,  34,  34,   8,  32,  34,   8,  32,  35,   9,  33,  36,  10,  34,  36,  10,  34,  35,   9,  33,  36,  10,  34,  36,  10,  34,  36,  10,  34,  37,  11,  35,  37,  10,  34,  38,  11,  36,  36,   9,  34,  38,  10,  35,
    38,  10,  34,  38,  11,  35,  39,  10,  35,  40,  11,  36,  40,  11,  37,  40,  11,  37,  37,  10,  36,  39,  12,  38,  39,  12,  38,  38,  11,  38,  38,  11,  37,  37,  10,  36,  39,  12,  38,  39,  12,  38,  39,  12,  38,  41,  14,  40,  42,  15,  41,  40,  13,  39,  40,  13,  39,  40,  14,  39,  40,  14,  39,
    42,  18,  42,  44,  20,  44,  45,  21,  44,  45,  24,  46,  48,  27,  49,  50,  31,  52,  53,  36,  57,  55,  40,  61,  61,  46,  67,  62,  49,  69,  61,  50,  70,  62,  51,  71,  63,  54,  74,  67,  59,  79,  69,  64,  83,  72,  70,  88,  74,  74,  90,  75,  78,  93,  80,  85, 100,  84,  91, 106,  90,  99, 113,
    94, 105, 119,  98, 109, 123, 103, 116, 130, 108, 121, 135, 109, 122, 136, 114, 127, 142, 113, 127, 144, 116, 130, 148, 115, 131, 148, 114, 131, 147, 114, 130, 149, 114, 133, 152, 112, 130, 149, 112, 129, 149, 109, 128, 149, 106, 124, 147, 105, 123, 146, 104, 119, 143, 105, 121, 144, 103, 119, 142, 102, 118, 141,
   100, 114, 137,  97, 111, 134,  97, 111, 134,  93, 106, 130,  92, 105, 127,  89, 102, 124,  89, 100, 120,  86,  95, 115,  87,  96, 116,  86,  95, 115,  84,  93, 113,  84,  92, 112,  81,  90, 110,  80,  88, 108,  78,  87, 107,  76,  85, 105,  70,  80, 103,  68,  79, 101,  67,  77, 101,  67,  77, 104,  69,  78, 105,
    69,  77, 106,  69,  77, 106,  71,  79, 108,  71,  80, 108,  71,  79, 106,  67,  76, 103,  66,  73, 100,  65,  71,  96,  62,  67,  92,  60,  65,  89,  56,  60,  83,  57,  60,  81,  55,  58,  77,  52,  55,  72,  48,  49,  63,  47,  48,  58,  41,  41,  50,  37,  36,  44,  33,  32,  36,  31,  30,  34,  26,  24,  26,
    27,  21,  23,  26,  19,  21,  28,  19,  21,  28,  18,  20,  32,  21,  23,  31,  22,  24,  33,  25,  28,  35,  28,  34,  37,  29,  36,  38,  31,  38,  39,  31,  40,  39,  33,  43,  39,  35,  47,  41,  39,  54,  46,  45,  63,  53,  53,  73,  62,  63,  83,  73,  74,  94,  83,  85, 104,  92,  98, 116, 103, 107, 126,
   109, 112, 133, 117, 120, 141, 119, 122, 143, 123, 126, 148, 125, 128, 148, 129, 128, 149, 129, 128, 147, 130, 125, 143, 129, 122, 140, 129, 120, 137, 127, 118, 130, 124, 113, 125, 121, 108, 119, 112, 100, 112, 106,  92, 103,  96,  82,  93,  94,  79,  90,  89,  76,  87,  92,  79,  90,  94,  83,  93, 100,  92, 102,
    57,  15,  53,  56,  14,  52,  59,  15,  53,  58,  14,  53,  59,  15,  54,  59,  15,  54,  59,  15,  54,  59,  15,  54,  58,  14,  52,  60,  17,  54,  60,  17,  55,  60,  16,  55,  61,  16,  55,  62,  16,  54,  61,  16,  55,  62,  15,  55,  62,  16,  56,  63,  17,  56,  65,  17,  57,  64,  16,  56,  64,  17,  58,
    65,  18,  58,  66,  18,  59,  65,  16,  59,  66,  18,  60,  66,  18,  60,  67,  19,  61,  68,  21,  62,  68,  19,  61,  69,  22,  62,  68,  20,  62,  69,  22,  63,  71,  23,  64,  70,  22,  64,  70,  21,  63,  71,  21,  63,  73,  24,  66,  73,  22,  66,  74,  24,  67,  75,  24,  68,  76,  23,  68,  77,  25,  69,
    77,  23,  69,  78,  24,  70,  79,  26,  72,  81,  27,  74,  82,  27,  75,  81,  26,  74,  81,  26,  75,  83,  28,  76,  83,  28,  77,  83,  27,  76,  83,  27,  77,  85,  29,  78,  86,  30,  79,  84,  27,  77,  85,  30,  80,  87,  30,  81,  86,  28,  79,  87,  29,  80,  89,  31,  82,  89,  29,  81,  90,  29,  82,
    90,  31,  83,  90,  32,  83,  91,  32,  83,  91,  33,  83,  90,  30,  83,  92,  31,  83,  91,  30,  83,  89,  30,  83,  90,  31,  83,  89,  31,  82,  90,  33,  84,  88,  31,  81,  95,  41,  88,  94,  45,  89,  90,  44,  87,  87,  42,  85,  86,  40,  83,  84,  41,  82,  85,  45,  85,  81,  45,  82,  82,  50,  85,
    83,  54,  87,  83,  56,  86,  83,  63,  91,  91,  83, 105, 119, 122, 139, 158, 164, 176, 178, 184, 192, 183, 189, 196, 174, 181, 190, 155, 163, 174, 126, 135, 148,  99, 104, 119,  76,  76,  93,  62,  58,  74,  74,  64,  85,  82,  73,  93,  78,  67,  86,  68,  56,  77,  63,  48,  67,  55,  36,  57,  45,  23,  46,
    40,  15,  39,  36,  11,  35,  37,  11,  35,  35,   9,  33,  37,  11,  35,  38,  12,  35,  35,   9,  33,  35,   9,  32,  34,   8,  31,  34,   8,  31,  36,  10,  33,  35,   9,  32,  35,   9,  33,  35,   9,  33,  36,   9,  33,  32,   8,  32,  33,  10,  34,  34,   9,  33,  35,   9,  32,  35,   9,  32,  36,  10,  33,
    34,   8,  32,  35,   9,  33,  35,   8,  32,  36,   8,  33,  35,   8,  32,  36,  10,  34,  35,   9,  33,  36,  10,  34,  34,   8,  32,  36,  10,  34,  36,  10,  34,  36,  10,  34,  36,  10,  34,  37,  11,  35,  36,  10,  34,  36,   9,  33,  35,   9,  33,  37,  10,  35,  37,  10,  36,  37,  10,  36,  37,  10,  36,
    37,  11,  36,  38,  10,  35,  40,  10,  35,  39,  10,  36,  37,  11,  36,  38,  11,  37,  37,  10,  36,  37,  10,  36,  38,  11,  38,  38,  11,  38,  39,  12,  38,  40,  13,  39,  39,  12,  38,  38,  11,  37,  40,  13,  39,  38,  10,  37,  39,  12,  37,  40,  14,  39,  39,  13,  38,  41,  15,  40,  43,  17,  41,
    44,  20,  44,  45,  21,  45,  47,  25,  47,  49,  28,  50,  49,  29,  51,  51,  34,  55,  58,  42,  63,  62,  47,  68,  63,  51,  71,  62,  50,  70,  61,  50,  70,  63,  52,  72,  65,  56,  76,  67,  60,  79,  70,  66,  85,  71,  70,  89,  75,  75,  91,  79,  82,  97,  83,  89, 104,  86,  92, 108,  91, 100, 114,
    92, 104, 118, 100, 111, 125, 105, 118, 132, 107, 120, 134, 111, 124, 138, 114, 127, 143, 113, 127, 145, 114, 129, 147, 113, 129, 146, 114, 130, 149, 114, 131, 150, 112, 131, 149, 113, 130, 151, 109, 128, 149, 109, 126, 147, 105, 124, 145, 105, 122, 143, 103, 120, 141, 101, 118, 140, 102, 118, 140, 102, 119, 140,
    99, 114, 136,  97, 111, 134,  95, 109, 132,  93, 105, 129,  91, 104, 126,  89, 102, 123,  86,  98, 118,  84,  94, 114,  87,  96, 116,  84,  93, 113,  82,  91, 111,  82,  92, 110,  79,  89, 108,  79,  88, 108,  77,  86, 106,  76,  85, 105,  73,  81, 104,  70,  78, 102,  67,  76, 101,  66,  76, 103,  67,  77, 104,
    69,  78, 107,  70,  78, 107,  71,  79, 108,  71,  80, 108,  71,  80, 108,  67,  75, 102,  69,  76, 101,  65,  72,  97,  63,  68,  93,  60,  65,  89,  58,  62,  85,  58,  61,  82,  56,  59,  78,  54,  56,  73,  50,  51,  65,  47,  48,  59,  42,  44,  52,  39,  38,  46,  32,  33,  37,  29,  30,  32,  28,  26,  28,
    27,  22,  25,  27,  19,  21,  27,  19,  20,  28,  19,  21,  27,  20,  20,  30,  21,  24,  30,  22,  24,  33,  26,  30,  34,  27,  32,  35,  29,  35,  36,  30,  37,  36,  32,  40,  39,  36,  48,  42,  40,  56,  46,  45,  63,  52,  52,  71,  63,  64,  84,  74,  75,  95,  82,  84, 104,  94,  98, 117, 104, 107, 127,
   110, 113, 135, 116, 119, 141, 121, 123, 147, 123, 125, 149, 127, 128, 152, 129, 130, 151, 130, 129, 149, 130, 126, 145, 132, 124, 142, 132, 123, 139, 129, 119, 131, 125, 115, 127, 121, 110, 122, 114, 102, 114, 105,  94, 104,  96,  84,  94,  92,  78,  89,  90,  76,  87,  91,  78,  89,  93,  82,  92, 101,  93, 103,
    58,  16,  53,  58,  15,  52,  59,  16,  53,  58,  14,  52,  59,  16,  54,  58,  15,  53,  59,  15,  53,  58,  15,  53,  59,  15,  53,  61,  18,  55,  60,  17,  55,  60,  16,  55,  61,  17,  56,  61,  16,  55,  61,  15,  54,  64,  18,  57,  63,  18,  56,  64,  18,  56,  62,  15,  57,  64,  16,  58,  64,  17,  56,
    65,  17,  58,  66,  18,  59,  66,  18,  60,  65,  18,  59,  66,  17,  60,  66,  18,  60,  67,  18,  61,  67,  20,  61,  68,  21,  61,  69,  21,  62,  70,  23,  63,  69,  21,  63,  70,  23,  63,  71,  24,  64,  72,  24,  66,  72,  24,  66,  74,  24,  66,  74,  23,  67,  75,  23,  67,  75,  24,  68,  76,  24,  68,
    78,  25,  69,  78,  24,  70,  80,  26,  72,  80,  26,  74,  81,  27,  74,  80,  25,  73,  81,  27,  74,  81,  26,  76,  83,  27,  76,  83,  28,  77,  84,  28,  77,  85,  29,  78,  86,  30,  79,  85,  29,  79,  87,  30,  80,  86,  29,  80,  88,  30,  81,  88,  29,  80,  87,  28,  79,  90,  31,  81,  90,  31,  82,
    89,  32,  83,  89,  31,  83,  91,  32,  84,  92,  34,  85,  91,  33,  84,  90,  30,  83,  90,  31,  83,  90,  31,  83,  90,  31,  83,  89,  32,  83,  90,  33,  84,  90,  33,  82,  90,  37,  85,  94,  46,  89,  95,  49,  91,  92,  48,  91,  90,  47,  89,  89,  48,  88,  87,  48,  88,  82,  49,  84,  82,  53,  86,
    84,  55,  86,  84,  58,  88,  81,  61,  87,  82,  70,  92,  95,  93, 112, 128, 137, 152, 164, 172, 182, 182, 188, 195, 183, 189, 196, 175, 183, 192, 163, 172, 181, 146, 155, 166, 123, 129, 141,  99, 102, 117,  87,  88, 105,  86,  84, 103,  84,  82, 100,  77,  74,  93,  71,  61,  79,  65,  50,  68,  53,  34,  55,
    43,  21,  45,  40,  16,  40,  35,  10,  34,  36,  11,  33,  36,   9,  32,  37,  11,  34,  38,  12,  35,  35,   9,  32,  35,   9,  32,  35,   9,  32,  35,   9,  32,  35,   9,  33,  34,   8,  32,  35,   9,  33,  36,  10,  34,  35,   8,  32,  35,   8,  32,  34,   8,  32,  36,  10,  34,  36,  10,  32,  35,   9,  32,
    35,   9,  32,  35,   9,  33,  34,   8,  32,  36,  10,  34,  36,  10,  34,  34,   8,  32,  35,   9,  33,  36,  10,  34,  35,   9,  33,  35,   9,  33,  35,   9,  33,  36,  10,  34,  37,  11,  35,  35,   9,  33,  37,  10,  34,  36,  10,  34,  36,  10,  34,  36,  10,  35,  37,  10,  36,  37,  10,  36,  37,  10,  36,
    36,   9,  35,  36,  10,  35,  37,  12,  35,  39,  11,  36,  38,  12,  36,  37,  11,  35,  39,  12,  38,  39,  12,  38,  39,  11,  38,  38,  11,  37,  38,  11,  37,  38,  11,  37,  40,  13,  39,  40,  13,  39,  38,  10,  37,  39,  12,  38,  40,  14,  38,  39,  13,  37,  41,  15,  39,  45,  19,  43,  43,  19,  42,
    46,  22,  46,  45,  23,  45,  44,  24,  46,  49,  29,  51,  51,  33,  54,  57,  41,  62,  61,  46,  67,  63,  50,  70,  64,  52,  72,  67,  56,  76,  65,  55,  73,  64,  54,  73,  68,  60,  79,  69,  64,  83,  73,  69,  88,  74,  73,  91,  77,  78,  94,  82,  86, 100,  85,  90, 105,  88,  95, 110,  95, 104, 118,
    98, 109, 123, 102, 113, 127, 105, 118, 132, 110, 123, 137, 113, 126, 142, 114, 127, 143, 113, 127, 145, 116, 130, 148, 116, 131, 150, 112, 129, 148, 114, 131, 151, 113, 130, 151, 114, 131, 152, 112, 129, 150, 107, 125, 146, 107, 124, 145, 106, 123, 144, 103, 120, 141, 103, 120, 141, 103, 120, 141, 100, 117, 138,
    99, 113, 136,  98, 111, 135,  95, 109, 132,  93, 104, 128,  89, 101, 125,  89, 102, 124,  86,  97, 118,  86,  96, 116,  89,  98, 118,  84,  93, 113,  84,  95, 112,  81,  91, 109,  77,  88, 107,  79,  88, 108,  78,  87, 107,  73,  82, 103,  72,  80, 103,  69,  77, 101,  68,  77, 101,  66,  76, 103,  67,  77, 104,
    71,  80, 107,  72,  80, 109,  70,  78, 107,  72,  80, 109,  71,  80, 108,  71,  80, 107,  69,  77, 101,  68,  74,  99,  65,  70,  95,  63,  68,  91,  60,  65,  89,  58,  61,  82,  59,  60,  80,  56,  57,  75,  52,  53,  68,  47,  48,  60,  42,  44,  53,  40,  40,  48,  34,  35,  39,  29,  30,  31,  27,  25,  27,
    28,  24,  26,  27,  21,  23,  26,  19,  21,  27,  19,  21,  29,  21,  23,  30,  21,  24,  31,  23,  26,  31,  24,  27,  33,  26,  29,  32,  26,  31,  36,  30,  36,  38,  34,  43,  39,  38,  49,  40,  40,  56,  47,  47,  63,  51,  52,  70,  61,  63,  81,  69,  74,  92,  83,  87, 107,  94,  97, 117, 103, 106, 127,
   110, 113, 135, 119, 121, 145, 122, 124, 148, 125, 127, 151, 126, 128, 152, 130, 131, 154, 131, 130, 150, 132, 127, 147, 131, 125, 143, 132, 124, 139, 130, 120, 132, 126, 116, 128, 120, 110, 122, 114, 104, 116, 105,  94, 104,  96,  85,  95,  93,  80,  91,  89,  75,  86,  91,  80,  90,  95,  84,  94,  99,  90, 100,
    56,  14,  50,  58,  15,  52,  57,  14,  51,  59,  15,  53,  57,  13,  52,  59,  16,  54,  60,  16,  54,  60,  16,  54,  59,  15,  54,  58,  15,  53,  59,  15,  54,  59,  15,  54,  61,  17,  56,  62,  17,  56,  62,  16,  55,  62,  17,  56,  62,  18,  56,  62,  16,  56,  64,  18,  57,  64,  17,  57,  64,  17,  57,
    64,  16,  58,  64,  16,  58,  65,  17,  59,  65,  17,  60,  66,  18,  59,  66,  18,  60,  68,  20,  61,  68,  19,  61,  68,  19,  61,  68,  19,  61,  70,  23,  63,  69,  20,  62,  70,  21,  62,  70,  21,  63,  71,  23,  65,  71,  23,  64,  73,  22,  65,  74,  24,  67,  76,  24,  68,  76,  23,  67,  77,  24,  67,
    77,  25,  68,  79,  25,  71,  78,  25,  71,  78,  24,  72,  81,  26,  73,  80,  26,  73,  81,  27,  73,  82,  26,  75,  82,  26,  75,  83,  28,  77,  83,  27,  76,  85,  29,  77,  85,  29,  78,  86,  29,  79,  85,  28,  79,  86,  29,  80,  89,  30,  81,  89,  30,  81,  89,  29,  81,  89,  29,  81,  89,  31,  81,
    90,  31,  83,  89,  31,  82,  91,  32,  85,  90,  31,  84,  91,  31,  85,  91,  32,  84,  92,  31,  84,  90,  29,  82,  89,  30,  81,  90,  30,  82,  88,  30,  81,  87,  31,  80,  89,  36,  84,  92,  46,  89,  95,  51,  92,  94,  52,  94,  92,  50,  92,  91,  53,  93,  89,  55,  92,  87,  55,  89,  84,  54,  87,
    81,  55,  85,  81,  57,  86,  77,  56,  83,  80,  66,  88,  83,  76,  96,  93, 101, 118, 134, 147, 159, 170, 177, 185, 182, 189, 195, 180, 189, 195, 176, 185, 192, 167, 176, 184, 160, 166, 176, 142, 150, 161, 123, 132, 147, 109, 117, 133, 101, 107, 123,  91,  94, 111,  85,  82,  98,  72,  66,  83,  63,  52,  72,
    50,  34,  55,  46,  27,  48,  40,  18,  40,  32,  10,  32,  37,  15,  37,  40,  17,  40,  39,  14,  38,  38,  11,  35,  35,  11,  35,  34,  10,  33,  35,  10,  33,  34,  10,  33,  36,  10,  34,  34,   8,  32,  36,  10,  34,  34,   7,  33,  35,   9,  34,  35,   8,  34,  36,   9,  34,  36,  10,  34,  36,  10,  33,
    35,   9,  32,  34,   8,  32,  35,   9,  34,  36,   9,  34,  35,   8,  34,  35,   8,  35,  35,   8,  33,  36,  10,  34,  35,   9,  33,  35,   9,  33,  34,   8,  32,  35,   9,  33,  37,  11,  35,  36,  10,  34,  37,  10,  34,  36,   9,  34,  36,  10,  34,  37,  10,  35,  37,  10,  36,  36,   9,  35,  37,  10,  36,
    37,  10,  36,  38,  11,  37,  37,  10,  35,  37,  11,  35,  37,  11,  35,  38,  11,  36,  38,  11,  37,  40,  12,  38,  37,  10,  36,  40,  12,  38,  40,  12,  38,  39,   9,  35,  39,  12,  38,  40,  13,  39,  40,  13,  39,  40,  13,  39,  39,  13,  37,  41,  15,  39,  44,  19,  43,  47,  21,  44,  45,  22,  45,
    50,  27,  49,  47,  26,  48,  48,  27,  49,  49,  30,  51,  55,  36,  57,  59,  42,  63,  58,  44,  65,  64,  52,  72,  67,  55,  75,  69,  58,  78,  72,  61,  81,  70,  61,  81,  67,  61,  80,  70,  65,  85,  75,  72,  91,  75,  74,  92,  80,  81,  96,  83,  87, 101,  87,  92, 106,  91,  98, 113,  97, 106, 120,
    97, 108, 122, 104, 114, 128, 108, 121, 135, 111, 124, 137, 112, 125, 141, 113, 127, 143, 116, 130, 147, 117, 131, 149, 114, 129, 148, 114, 130, 151, 115, 132, 153, 114, 131, 152, 111, 128, 149, 112, 129, 150, 108, 126, 147, 106, 122, 143, 106, 121, 143, 106, 121, 143, 103, 120, 140, 101, 118, 137, 101, 115, 137,
   100, 114, 136,  97, 111, 134,  96, 110, 133,  93, 104, 129,  90, 103, 126,  88, 101, 123,  86,  98, 120,  91, 101, 120,  86,  95, 115,  84,  93, 113,  82,  92, 110,  80,  90, 108,  78,  88, 107,  77,  87, 107,  77,  86, 106,  74,  83, 103,  73,  81, 104,  68,  76, 100,  69,  76, 101,  67,  75, 102,  68,  77, 104,
    70,  80, 107,  72,  81, 108,  73,  81, 110,  74,  82, 110,  73,  81, 109,  71,  80, 107,  69,  77, 104,  67,  74, 100,  65,  72,  95,  64,  70,  93,  61,  66,  90,  60,  62,  84,  59,  60,  80,  58,  58,  77,  52,  53,  68,  49,  50,  62,  43,  44,  54,  39,  41,  48,  35,  36,  41,  29,  31,  34,  26,  26,  28,
    25,  22,  24,  26,  21,  23,  25,  19,  22,  27,  19,  22,  28,  18,  21,  25,  18,  21,  30,  22,  25,  30,  23,  26,  32,  25,  28,  32,  26,  31,  37,  33,  38,  36,  33,  41,  38,  37,  48,  41,  41,  56,  45,  45,  62,  51,  53,  71,  59,  63,  83,  69,  73,  92,  83,  87, 107,  93,  97, 116, 105, 108, 129,
   111, 114, 136, 117, 120, 144, 124, 125, 151, 127, 128, 153, 128, 129, 153, 130, 132, 154, 132, 131, 152, 132, 130, 150, 131, 126, 145, 131, 126, 142, 130, 122, 134, 126, 115, 128, 122, 112, 124, 113, 103, 115, 105,  96, 106,  96,  85,  95,  92,  81,  91,  87,  76,  86,  90,  79,  89,  92,  82,  92, 100,  91, 101,
    57,  14,  51,  57,  14,  51,  58,  15,  52,  57,  14,  52,  58,  14,  53,  58,  14,  53,  60,  15,  54,  59,  14,  53,  59,  15,  54,  60,  15,  54,  60,  16,  55,  60,  16,  55,  60,  15,  54,  61,  16,  55,  61,  16,  55,  62,  17,  56,  62,  17,  56,  62,  16,  56,  64,  18,  57,  64,  17,  57,  64,  17,  57,
    64,  16,  57,  64,  17,  57,  66,  19,  59,  67,  19,  60,  66,  18,  60,  67,  19,  61,  66,  18,  60,  67,  19,  61,  68,  20,  62,  70,  20,  62,  69,  21,  62,  69,  22,  62,  71,  21,  63,  70,  23,  64,  71,  23,  65,  72,  23,  65,  72,  23,  65,  75,  25,  67,  75,  24,  66,  77,  23,  67,  77,  24,  67,
    77,  24,  68,  78,  25,  70,  78,  24,  72,  79,  25,  72,  80,  26,  73,  81,  28,  74,  82,  28,  75,  82,  29,  75,  82,  26,  75,  83,  28,  77,  83,  27,  76,  85,  30,  78,  85,  29,  78,  86,  30,  78,  85,  28,  78,  87,  30,  80,  88,  31,  81,  88,  30,  80,  89,  30,  81,  90,  31,  81,  90,  31,  82,
    90,  31,  82,  90,  32,  83,  90,  32,  85,  91,  31,  85,  92,  31,  85,  91,  30,  84,  92,  32,  84,  91,  30,  83,  90,  29,  82,  90,  31,  82,  88,  30,  81,  86,  30,  81,  84,  32,  80,  91,  45,  89,  95,  52,  93,  95,  53,  94,  90,  49,  91,  88,  49,  90,  85,  50,  88,  87,  55,  90,  90,  62,  92,
    86,  62,  91,  83,  61,  89,  82,  64,  89,  78,  61,  86,  79,  67,  90,  83,  81,  99, 103, 112, 125, 142, 153, 164, 173, 181, 189, 183, 190, 197, 180, 189, 196, 174, 184, 189, 169, 178, 185, 167, 174, 183, 156, 163, 173, 144, 153, 165, 136, 144, 157, 125, 132, 146, 108, 113, 128,  91,  93, 108,  73,  73,  90,
    64,  58,  77,  58,  48,  67,  47,  31,  52,  40,  19,  41,  39,  18,  40,  41,  18,  42,  41,  17,  41,  38,  15,  39,  38,  14,  38,  37,  13,  37,  36,  12,  35,  34,  10,  34,  35,   8,  32,  37,  11,  34,  38,  12,  36,  35,   8,  33,  36,   9,  34,  36,   9,  35,  35,   8,  33,  36,  10,  34,  35,   9,  33,
    35,   9,  33,  37,  11,  35,  37,  11,  35,  35,   9,  34,  35,   9,  34,  35,   8,  34,  37,  10,  36,  34,   9,  33,  34,   8,  32,  35,   9,  33,  34,   8,  32,  35,   9,  33,  37,  11,  35,  36,  10,  34,  36,  10,  34,  35,   9,  33,  36,  10,  34,  36,   9,  34,  37,  10,  36,  37,  10,  36,  36,   9,  35,
    37,  10,  36,  37,  10,  36,  38,  11,  37,  38,  12,  37,  37,  11,  35,  37,  10,  36,  40,  12,  38,  40,  12,  38,  40,  10,  36,  39,  10,  35,  41,  12,  37,  39,  12,  37,  39,  12,  38,  40,  13,  39,  40,  13,  39,  41,  15,  41,  41,  14,  39,  42,  16,  40,  46,  20,  44,  47,  22,  46,  47,  24,  46,
    46,  23,  45,  46,  24,  46,  45,  24,  46,  47,  28,  49,  53,  34,  55,  54,  36,  59,  57,  43,  65,  64,  52,  74,  67,  56,  77,  72,  62,  82,  70,  61,  81,  71,  63,  83,  71,  66,  85,  74,  70,  89,  76,  73,  93,  77,  78,  95,  81,  84, 101,  84,  89, 104,  89,  94, 110,  91,  98, 113,  96, 106, 119,
    96, 107, 121, 103, 115, 129, 108, 121, 136, 110, 123, 137, 113, 126, 142, 116, 128, 144, 116, 130, 148, 114, 129, 148, 115, 130, 150, 114, 131, 151, 114, 131, 152, 113, 131, 152, 111, 129, 150, 112, 129, 150, 108, 125, 146, 105, 120, 142, 106, 120, 142, 105, 119, 141, 104, 120, 141, 101, 117, 138, 100, 114, 136,
    97, 111, 133,  94, 108, 131,  98, 112, 135,  98, 111, 134,  91, 104, 126,  86,  99, 121,  89, 100, 122,  91,  99, 121,  85,  94, 115,  86,  96, 115,  85,  95, 113,  83,  93, 111,  82,  92, 111,  81,  90, 110,  76,  86, 106,  75,  85, 105,  72,  81, 102,  70,  78, 102,  69,  76, 101,  67,  74, 100,  68,  77, 104,
    70,  79, 106,  72,  81, 109,  79,  88, 115,  74,  82, 111,  72,  80, 109,  74,  82, 109,  71,  78, 105,  70,  77, 103,  66,  73,  96,  65,  71,  94,  62,  67,  91,  62,  64,  86,  60,  61,  82,  59,  60,  79,  56,  56,  74,  52,  53,  67,  44,  45,  56,  40,  40,  49,  36,  36,  41,  31,  32,  36,  27,  27,  30,
    26,  25,  27,  25,  22,  24,  26,  20,  25,  27,  20,  24,  28,  21,  26,  28,  21,  25,  29,  22,  25,  29,  22,  25,  32,  25,  29,  33,  27,  31,  34,  30,  36,  37,  34,  43,  40,  38,  49,  43,  42,  56,  46,  47,  65,  50,  54,  73,  61,  64,  83,  69,  74,  93,  83,  90, 108,  93,  97, 118, 103, 108, 129,
   110, 113, 136, 119, 122, 146, 124, 127, 152, 128, 129, 155, 129, 131, 155, 131, 133, 156, 134, 133, 154, 133, 131, 150, 132, 128, 146, 132, 125, 142, 131, 123, 136, 127, 119, 130, 122, 113, 124, 114, 105, 115, 105,  95, 105,  99,  90,  98,  91,  80,  90,  88,  77,  87,  88,  79,  89,  90,  80,  91, 100,  92, 102,
    56,  15,  52,  57,  13,  52,  58,  15,  52,  58,  14,  53,  58,  14,  53,  58,  14,  53,  60,  16,  55,  59,  15,  54,  58,  13,  52,  60,  15,  53,  59,  14,  53,  60,  15,  54,  60,  16,  55,  60,  15,  54,  60,  16,  55,  61,  16,  55,  63,  18,  57,  63,  17,  56,  63,  16,  55,  64,  17,  56,  63,  16,  56,
    65,  18,  58,  66,  18,  59,  64,  16,  58,  66,  18,  59,  66,  18,  60,  66,  18,  60,  68,  20,  62,  69,  19,  61,  69,  19,  61,  67,  20,  62,  69,  22,  64,  70,  22,  64,  71,  20,  62,  71,  20,  63,  72,  22,  64,  73,  24,  66,  73,  23,  66,  74,  24,  67,  75,  24,  67,  75,  24,  67,  77,  26,  69,
    78,  26,  70,  78,  25,  71,  78,  24,  72,  80,  26,  73,  79,  25,  72,  80,  25,  73,  82,  28,  75,  82,  27,  76,  83,  28,  76,  82,  26,  76,  84,  29,  78,  84,  29,  78,  85,  28,  78,  86,  30,  80,  86,  28,  79,  87,  29,  79,  88,  28,  80,  89,  30,  81,  89,  30,  81,  89,  30,  81,  89,  31,  81,
    90,  32,  83,  90,  33,  84,  89,  29,  83,  91,  33,  85,  91,  30,  85,  91,  30,  83,  91,  29,  83,  91,  31,  83,  90,  31,  83,  90,  31,  82,  88,  30,  81,  89,  37,  84,  91,  43,  88,  94,  49,  92,  93,  51,  91,  91,  50,  89,  82,  39,  81,  78,  37,  78,  76,  40,  79,  82,  50,  85,  87,  58,  89,
    86,  62,  90,  85,  62,  90,  83,  65,  92,  82,  66,  92,  82,  70,  94,  87,  80, 103,  90,  92, 108, 117, 129, 141, 154, 165, 174, 177, 186, 193, 183, 191, 198, 175, 185, 191, 168, 179, 183, 168, 179, 185, 166, 176, 183, 163, 172, 181, 166, 174, 183, 155, 163, 174, 142, 149, 163, 123, 130, 145, 101, 108, 125,
    83,  90, 107,  76,  73,  92,  60,  52,  72,  45,  34,  54,  40,  23,  44,  43,  21,  46,  43,  21,  45,  39,  15,  39,  37,  14,  38,  39,  15,  39,  39,  15,  39,  38,  15,  38,  37,  10,  34,  36,  10,  33,  37,  10,  34,  37,  10,  34,  36,   9,  34,  38,  11,  36,  37,  10,  36,  36,  10,  34,  35,   9,  33,
    36,  10,  34,  38,  12,  36,  38,  12,  36,  38,  11,  36,  36,  10,  34,  35,   8,  34,  36,   9,  35,  37,   9,  36,  35,   9,  34,  35,   8,  34,  36,  10,  34,  36,  10,  34,  35,   9,  33,  36,  10,  34,  36,  10,  34,  36,  10,  34,  36,  10,  35,  35,   8,  34,  38,  11,  37,  37,  10,  36,  37,  10,  36,
    37,  10,  37,  38,  11,  37,  37,  10,  36,  38,  10,  36,  37,  10,  36,  38,  10,  36,  40,  11,  37,  39,  10,  36,  40,  11,  37,  40,  11,  36,  40,  11,  37,  41,  12,  37,  40,  12,  38,  40,  13,  39,  41,  14,  40,  41,  14,  40,  42,  16,  41,  45,  19,  43,  47,  23,  47,  47,  22,  46,  46,  22,  46,
    43,  19,  43,  42,  21,  44,  45,  24,  46,  48,  29,  50,  52,  33,  54,  58,  39,  60,  57,  42,  64,  63,  52,  73,  65,  57,  77,  70,  61,  81,  75,  67,  87,  75,  69,  87,  74,  70,  88,  76,  73,  90,  76,  74,  93,  81,  81,  99,  83,  85, 103,  86,  90, 106,  88,  97, 109,  95, 103, 116,  95, 105, 118,
   102, 113, 126, 105, 117, 131, 108, 121, 135, 113, 126, 140, 114, 127, 143, 116, 129, 145, 114, 128, 146, 116, 131, 149, 115, 130, 150, 114, 131, 151, 114, 131, 152, 112, 129, 150, 110, 128, 149, 110, 128, 149, 108, 125, 147, 105, 119, 142, 107, 121, 144, 104, 120, 141, 102, 119, 140, 101, 119, 140, 100, 115, 136,
    98, 113, 136,  98, 112, 135,  97, 112, 135,  95, 109, 132,  96, 109, 131,  88, 101, 123,  88,  99, 121,  91, 101, 122,  83,  91, 112,  83,  93, 112,  82,  92, 110,  94, 105, 123,  92, 102, 121,  81,  91, 111,  70,  81, 101,  80,  91, 111,  74,  85, 105,  69,  80, 102,  70,  78, 103,  66,  75,  99,  69,  78, 105,
    77,  86, 113,  77,  87, 113,  73,  82, 109,  71,  79, 108,  73,  81, 110,  74,  82, 110,  73,  80, 107,  72,  78, 103,  69,  75,  98,  66,  73,  96,  62,  67,  90,  63,  66,  88,  62,  63,  84,  58,  60,  79,  56,  57,  74,  52,  53,  67,  47,  47,  59,  42,  42,  51,  36,  38,  44,  32,  33,  39,  28,  29,  33,
    28,  27,  31,  26,  23,  27,  26,  20,  26,  28,  21,  27,  28,  22,  27,  27,  21,  26,  30,  23,  27,  29,  23,  25,  31,  25,  29,  30,  25,  30,  35,  32,  38,  39,  36,  45,  40,  38,  50,  42,  42,  58,  46,  48,  66,  51,  56,  75,  58,  64,  83,  69,  75,  95,  80,  87, 106,  92,  97, 118, 102, 108, 129,
   109, 113, 138, 117, 121, 145, 123, 127, 152, 125, 129, 154, 131, 133, 157, 131, 132, 156, 136, 133, 156, 134, 131, 152, 133, 128, 147, 134, 127, 143, 133, 125, 139, 129, 120, 132, 123, 114, 124, 115, 107, 114, 105,  97, 103,  97,  87,  95,  92,  81,  90,  88,  78,  88,  88,  79,  89,  91,  83,  93, 100,  92, 102,
    55,  16,  52,  56,  15,  53,  57,  16,  53,  57,  16,  53,  59,  16,  53,  59,  15,  54,  58,  15,  53,  59,  14,  53,  60,  15,  54,  59,  14,  53,  60,  15,  54,  61,  17,  55,  60,  16,  55,  60,  16,  55,  61,  17,  56,  60,  15,  54,  62,  16,  55,  63,  18,  57,  63,  16,  55,  64,  18,  57,  64,  17,  56,
    64,  17,  57,  64,  17,  58,  67,  19,  59,  66,  19,  59,  66,  19,  60,  67,  16,  58,  68,  19,  61,  68,  19,  61,  69,  22,  61,  69,  21,  62,  69,  20,  62,  71,  21,  63,  70,  22,  63,  70,  21,  63,  71,  23,  65,  73,  22,  65,  75,  24,  67,  74,  23,  66,  74,  24,  67,  76,  25,  68,  75,  22,  67,
    77,  23,  68,  77,  26,  71,  79,  28,  72,  79,  27,  73,  80,  26,  74,  82,  27,  76,  80,  25,  74,  82,  27,  75,  83,  27,  76,  83,  29,  77,  83,  28,  77,  84,  29,  78,  86,  31,  80,  85,  28,  78,  86,  29,  80,  87,  27,  79,  88,  29,  80,  87,  27,  79,  89,  30,  81,  90,  32,  82,  88,  30,  81,
    91,  33,  84,  89,  32,  83,  89,  31,  85,  91,  32,  85,  91,  31,  84,  92,  32,  84,  92,  31,  83,  91,  29,  81,  89,  30,  81,  90,  33,  82,  91,  37,  84,  92,  42,  87,  90,  44,  88,  86,  41,  84,  87,  44,  83,  82,  38,  79,  82,  37,  78,  76,  34,  76,  72,  32,  73,  73,  36,  73,  74,  41,  75,
    73,  45,  75,  77,  51,  80,  80,  58,  85,  79,  61,  87,  80,  66,  92,  80,  71,  94,  88,  88, 108,  95, 102, 116, 133, 145, 157, 164, 174, 182, 177, 185, 192, 174, 184, 191, 172, 183, 189, 167, 178, 185, 169, 179, 186, 171, 181, 188, 175, 184, 191, 170, 181, 189, 158, 168, 178, 147, 156, 168, 135, 144, 158,
   116, 127, 143, 100, 107, 124,  82,  83, 101,  64,  61,  80,  49,  44,  62,  45,  33,  52,  47,  29,  49,  43,  22,  44,  40,  19,  42,  41,  19,  43,  41,  19,  43,  40,  15,  39,  39,  13,  36,  39,  13,  36,  38,  12,  35,  39,  13,  37,  37,  11,  35,  38,  11,  36,  39,  13,  37,  36,  10,  34,  37,  10,  34,
    35,   9,  33,  38,  12,  36,  40,  15,  39,  39,  12,  36,  36,   9,  35,  35,   9,  33,  37,  11,  35,  36,  10,  35,  35,   8,  34,  38,   9,  35,  37,   9,  34,  36,  10,  34,  36,   9,  35,  37,  10,  36,  36,   9,  34,  37,  10,  35,  36,   9,  35,  36,   9,  35,  36,   9,  35,  39,  12,  38,  38,  10,  36,
    38,  11,  37,  38,  11,  37,  37,  10,  36,  38,  12,  37,  37,  10,  36,  39,  11,  37,  39,  10,  36,  41,  12,  38,  40,  11,  36,  39,  10,  35,  40,  11,  36,  41,  13,  38,  39,  12,  39,  43,  16,  42,  41,  14,  40,  42,  14,  41,  44,  17,  42,  47,  22,  46,  48,  24,  48,  49,  25,  48,  47,  23,  47,
    43,  19,  43,  45,  23,  45,  46,  25,  47,  49,  30,  51,  53,  34,  55,  58,  39,  60,  59,  44,  65,  64,  53,  73,  65,  54,  76,  68,  62,  81,  74,  67,  86,  78,  72,  88,  80,  77,  93,  77,  76,  92,  80,  79,  97,  80,  81,  99,  86,  88, 106,  86,  90, 108,  90,  97, 111,  93, 101, 115,  99, 108, 121,
   100, 111, 124, 105, 117, 131, 108, 121, 135, 113, 126, 141, 114, 127, 143, 118, 131, 147, 116, 130, 148, 116, 130, 150, 117, 132, 151, 113, 130, 151, 114, 132, 152, 112, 131, 152, 109, 128, 149, 109, 126, 147, 111, 128, 149, 105, 121, 144, 104, 120, 142, 102, 118, 141, 101, 118, 139, 102, 119, 140, 100, 117, 138,
    98, 114, 137,  99, 116, 139,  97, 114, 138, 103, 118, 141,  94, 109, 131,  87, 100, 124,  85,  98, 120,  92, 103, 124,  80,  91, 111,  80,  92, 111, 102, 114, 133,  93, 104, 122,  76,  87, 107,  75,  86, 106,  79,  89, 109,  73,  84, 105,  76,  87, 108,  76,  87, 110,  70,  79, 104,  66,  76, 101,  83,  92, 117,
    76,  86, 112,  74,  83, 110,  73,  82, 110,  73,  81, 109,  73,  81, 110,  77,  84, 111,  74,  80, 108,  72,  77, 105,  70,  76,  99,  68,  74,  97,  66,  71,  94,  66,  69,  90,  64,  66,  86,  61,  62,  82,  57,  60,  76,  54,  53,  69,  50,  50,  62,  42,  43,  53,  37,  40,  47,  33,  35,  40,  29,  30,  36,
    27,  27,  31,  26,  24,  28,  25,  21,  27,  27,  21,  27,  27,  21,  27,  29,  23,  28,  30,  24,  28,  30,  24,  29,  30,  26,  31,  31,  27,  33,  34,  32,  38,  37,  34,  44,  40,  40,  52,  43,  42,  58,  44,  47,  65,  50,  55,  74,  57,  64,  83,  68,  75,  95,  79,  86, 106,  91,  98, 118, 103, 107, 131,
   110, 114, 138, 119, 123, 147, 124, 128, 153, 127, 131, 155, 131, 134, 158, 134, 135, 158, 135, 133, 155, 134, 131, 152, 136, 131, 150, 134, 127, 144, 134, 124, 140, 130, 120, 132, 124, 115, 126, 114, 106, 113, 108, 100, 107,  98,  91,  97,  93,  82,  90,  86,  77,  87,  88,  79,  89,  91,  83,  93, 100,  92, 102,
    55,  14,  52,  55,  14,  52,  56,  15,  53,  56,  13,  51,  57,  14,  52,  59,  15,  53,  59,  15,  54,  59,  14,  53,  59,  14,  53,  60,  15,  53,  59,  14,  53,  59,  14,  54,  60,  15,  54,  60,  15,  54,  60,  15,  55,  60,  15,  55,  61,  15,  55,  61,  16,  55,  62,  17,  55,  62,  17,  56,  63,  18,  57,
    63,  16,  56,  65,  19,  58,  64,  17,  57,  66,  19,  59,  65,  16,  58,  67,  20,  59,  67,  18,  58,  68,  20,  60,  67,  17,  60,  68,  20,  61,  71,  22,  64,  68,  20,  62,  70,  22,  63,  71,  21,  63,  71,  21,  64,  73,  23,  65,  75,  24,  67,  74,  23,  66,  75,  23,  67,  75,  24,  67,  77,  24,  69,
    76,  24,  69,  77,  24,  71,  76,  23,  71,  79,  25,  72,  80,  28,  75,  80,  26,  74,  81,  26,  75,  81,  25,  75,  82,  27,  75,  84,  29,  78,  83,  28,  77,  85,  30,  79,  85,  29,  79,  85,  28,  79,  86,  30,  80,  87,  29,  80,  87,  31,  81,  88,  31,  82,  88,  30,  82,  90,  31,  82,  89,  31,  82,
    89,  30,  82,  90,  31,  82,  89,  31,  83,  90,  31,  83,  91,  32,  84,  90,  29,  83,  91,  30,  82,  91,  29,  82,  90,  32,  82,  88,  33,  82,  87,  35,  82,  85,  36,  82,  84,  36,  82,  80,  33,  78,  79,  33,  75,  82,  38,  78,  83,  41,  80,  78,  37,  77,  72,  30,  72,  71,  29,  68,  67,  30,  66,
    65,  32,  66,  67,  36,  68,  67,  42,  72,  69,  47,  75,  69,  51,  77,  72,  59,  83,  78,  72,  94,  86,  86, 102, 109, 116, 130, 144, 154, 164, 167, 177, 184, 172, 182, 189, 173, 183, 190, 172, 183, 187, 173, 184, 188, 172, 184, 187, 170, 181, 186, 163, 176, 181, 156, 169, 178, 154, 166, 176, 151, 161, 173,
   145, 154, 168, 132, 142, 157, 116, 125, 141,  99, 103, 118,  75,  77,  93,  62,  61,  78,  59,  47,  66,  48,  32,  53,  41,  20,  41,  43,  22,  44,  42,  21,  44,  42,  17,  40,  40,  14,  37,  40,  14,  37,  41,  15,  38,  39,  13,  36,  39,  13,  37,  37,  11,  36,  39,  13,  37,  38,  11,  35,  38,   9,  34,
    37,   8,  33,  40,  14,  38,  40,  15,  39,  39,  13,  37,  36,  11,  35,  35,   9,  33,  35,   9,  33,  35,   9,  34,  36,   8,  35,  37,   8,  34,  37,   9,  35,  36,   8,  34,  37,  10,  36,  36,   9,  35,  37,  10,  36,  36,   9,  35,  36,   9,  35,  36,   9,  35,  36,   9,  35,  38,  11,  37,  37,  10,  36,
    37,  10,  36,  37,  10,  36,  37,  10,  36,  38,  11,  37,  38,  11,  37,  38,  11,  37,  40,  11,  37,  38,   9,  35,  40,  11,  37,  42,  13,  38,  42,  13,  38,  40,  13,  37,  43,  15,  42,  41,  15,  41,  43,  16,  42,  43,  17,  42,  47,  22,  46,  47,  23,  47,  49,  25,  49,  48,  24,  48,  47,  23,  47,
    45,  22,  46,  45,  23,  47,  49,  30,  51,  52,  33,  53,  54,  35,  55,  57,  40,  61,  62,  47,  68,  65,  53,  73,  65,  55,  76,  69,  63,  82,  76,  71,  89,  79,  76,  92,  82,  79,  95,  77,  77,  92,  79,  81,  97,  83,  85, 103,  86,  88, 106,  87,  92, 109,  91,  99, 113,  94, 102, 116,  98, 108, 122,
   101, 112, 126, 105, 117, 131, 110, 123, 137, 112, 125, 140, 115, 128, 145, 118, 130, 148, 114, 129, 146, 116, 130, 148, 117, 132, 151, 115, 132, 152, 115, 132, 153, 115, 132, 153, 111, 129, 150, 108, 125, 146, 108, 124, 146, 107, 123, 146, 104, 120, 143, 102, 118, 141,  99, 117, 139, 103, 122, 143,  96, 115, 137,
   101, 120, 143,  96, 115, 140,  98, 115, 141,  91, 107, 132,  87, 103, 126,  88, 102, 125,  83,  97, 120,  88, 101, 121,  82,  94, 114, 104, 116, 134,  95, 108, 126,  81,  91, 109,  81,  91, 109,  77,  89, 108,  95, 106, 125,  78,  90, 110,  72,  83, 105,  79,  90, 111,  77,  88, 111,  85,  95, 120,  67,  78, 104,
    71,  82, 109,  74,  83, 110,  74,  83, 111,  76,  84, 113,  78,  86, 114,  75,  83, 110,  75,  82, 110,  75,  81, 108,  73,  78, 103,  71,  78, 100,  68,  73,  95,  69,  72,  93,  67,  70,  90,  64,  65,  85,  59,  62,  78,  55,  56,  71,  49,  49,  62,  42,  43,  53,  38,  40,  48,  34,  37,  42,  30,  33,  38,
    26,  25,  31,  27,  24,  30,  25,  22,  27,  25,  21,  27,  27,  23,  29,  28,  22,  27,  28,  24,  29,  29,  25,  30,  30,  28,  33,  30,  29,  36,  35,  34,  42,  37,  38,  47,  39,  41,  53,  41,  41,  58,  44,  48,  66,  50,  56,  75,  58,  66,  85,  67,  76,  96,  81,  88, 107,  91,  98, 118, 100, 105, 129,
   109, 113, 138, 118, 122, 147, 124, 128, 152, 127, 131, 155, 132, 134, 158, 132, 133, 157, 136, 134, 158, 135, 132, 154, 135, 131, 150, 134, 128, 146, 133, 123, 140, 129, 119, 133, 124, 114, 125, 117, 109, 116, 107,  99, 105,  98,  91,  97,  91,  80,  88,  87,  78,  86,  88,  80,  86,  92,  84,  93,  95,  88,  96,
    55,  14,  51,  56,  15,  52,  55,  14,  52,  58,  16,  52,  56,  13,  50,  58,  15,  52,  58,  14,  53,  59,  16,  53,  60,  17,  54,  59,  14,  53,  60,  15,  53,  60,  15,  54,  60,  15,  54,  59,  14,  54,  61,  17,  56,  61,  16,  55,  62,  16,  55,  61,  15,  54,  63,  18,  56,  62,  17,  56,  61,  16,  56,
    64,  19,  58,  64,  16,  56,  65,  18,  57,  66,  19,  58,  64,  18,  56,  67,  20,  59,  68,  19,  59,  67,  17,  58,  69,  19,  60,  68,  21,  61,  68,  19,  61,  69,  20,  62,  70,  22,  63,  70,  21,  63,  72,  24,  65,  73,  23,  66,  73,  23,  65,  74,  23,  67,  75,  23,  67,  76,  24,  68,  77,  24,  68,
    76,  26,  69,  77,  25,  70,  77,  25,  71,  78,  25,  73,  79,  25,  74,  80,  26,  75,  83,  28,  76,  82,  27,  76,  83,  28,  77,  83,  27,  77,  83,  26,  77,  84,  28,  78,  85,  29,  79,  86,  30,  79,  86,  29,  79,  86,  30,  80,  88,  32,  80,  87,  30,  82,  90,  33,  83,  89,  30,  82,  89,  30,  81,
    91,  32,  83,  89,  32,  83,  89,  32,  83,  91,  31,  84,  89,  29,  83,  92,  30,  84,  91,  31,  84,  91,  31,  83,  89,  32,  83,  87,  32,  81,  85,  32,  79,  83,  34,  80,  82,  33,  80,  82,  36,  80,  82,  37,  78,  84,  40,  79,  83,  42,  79,  79,  39,  77,  74,  32,  73,  70,  30,  68,  69,  31,  68,
    68,  35,  69,  63,  31,  66,  61,  34,  67,  60,  36,  66,  60,  40,  67,  63,  48,  75,  70,  62,  85,  80,  79,  97,  91,  97, 113, 118, 129, 142, 147, 158, 168, 164, 174, 182, 171, 181, 188, 173, 184, 189, 173, 184, 188, 171, 182, 186, 168, 180, 185, 161, 175, 182, 156, 171, 179, 155, 168, 178, 156, 170, 179,
   154, 168, 179, 149, 161, 174, 145, 156, 169, 136, 146, 160, 118, 126, 141,  93,  99, 115,  75,  79,  96,  62,  56,  73,  53,  42,  59,  47,  31,  48,  46,  26,  47,  42,  18,  41,  38,  12,  36,  39,  14,  37,  40,  15,  39,  41,  16,  40,  39,  15,  39,  39,  14,  37,  40,  16,  38,  40,  14,  37,  40,  14,  37,
    39,  12,  35,  40,  14,  37,  40,  14,  37,  38,  12,  36,  37,  11,  34,  37,  11,  34,  35,   9,  32,  37,  10,  34,  37,   8,  34,  38,   9,  35,  37,   9,  35,  38,   8,  34,  38,   9,  35,  38,  10,  36,  38,  11,  37,  37,  10,  36,  36,   9,  35,  39,  12,  38,  37,  10,  36,  37,   9,  35,  38,  11,  37,
    38,  11,  37,  38,  12,  36,  39,  13,  37,  38,  12,  37,  38,  11,  37,  38,  11,  37,  40,  13,  39,  41,  13,  39,  42,  13,  39,  42,  14,  39,  42,  15,  39,  42,  16,  40,  43,  18,  42,  48,  25,  49,  47,  23,  48,  45,  23,  47,  44,  22,  46,  48,  26,  50,  52,  30,  54,  49,  27,  51,  49,  27,  51,
    49,  27,  51,  48,  27,  51,  51,  32,  52,  54,  37,  58,  56,  40,  60,  59,  44,  63,  63,  50,  70,  66,  54,  74,  67,  59,  79,  68,  62,  81,  75,  71,  90,  83,  81,  97,  88,  89, 102,  82,  85,  99,  81,  84,  99,  83,  86, 101,  87,  92, 107,  89,  94, 110,  93, 101, 115,  97, 106, 120, 102, 112, 126,
   100, 113, 128, 105, 118, 133, 110, 123, 138, 113, 126, 140, 114, 128, 142, 118, 130, 147, 114, 128, 146, 117, 132, 150, 118, 133, 152, 115, 132, 151, 115, 132, 153, 113, 131, 152, 111, 129, 150, 110, 125, 147, 108, 124, 144, 107, 123, 144, 105, 121, 143, 103, 120, 142,  98, 116, 139, 100, 119, 141, 101, 120, 141,
   107, 126, 148, 104, 123, 146, 101, 118, 142,  89, 105, 131,  87, 102, 127,  91, 105, 128,  80,  95, 117,  97, 111, 131, 104, 119, 136, 104, 118, 136,  76,  87, 106,  79,  90, 109,  86,  98, 117, 113, 128, 145,  79,  91, 110,  84,  95, 116,  79,  91, 113,  82,  94, 116,  83,  94, 118,  75,  87, 112,  71,  83, 109,
    83,  93, 118,  79,  89, 115,  74,  82, 110,  77,  86, 113,  76,  85, 112,  78,  84, 112,  78,  85, 112,  75,  82, 109,  74,  79, 103,  73,  79, 102,  69,  74,  96,  69,  73,  93,  65,  69,  88,  67,  69,  88,  62,  65,  81,  59,  60,  75,  50,  50,  63,  43,  44,  54,  39,  41,  50,  34,  37,  42,  32,  34,  39,
    28,  27,  33,  27,  24,  30,  25,  23,  29,  26,  23,  28,  26,  22,  28,  28,  24,  29,  31,  27,  33,  30,  27,  33,  30,  30,  36,  31,  32,  37,  32,  34,  41,  36,  38,  48,  39,  41,  53,  46,  47,  63,  46,  50,  68,  49,  56,  75,  57,  66,  85,  66,  75,  96,  78,  88, 107,  91,  97, 119, 100, 106, 129,
   109, 114, 139, 119, 123, 148, 125, 129, 154, 126, 130, 155, 132, 134, 159, 132, 133, 158, 134, 134, 158, 136, 134, 156, 135, 130, 150, 134, 128, 147, 133, 124, 141, 130, 121, 135, 126, 117, 126, 117, 108, 116, 109, 100, 107, 101,  93, 100,  92,  85,  92,  87,  78,  85,  88,  79,  86,  89,  81,  88,  94,  88,  93,
    56,  15,  52,  55,  14,  51,  55,  13,  50,  57,  14,  51,  57,  15,  52,  57,  14,  52,  57,  13,  52,  58,  15,  53,  58,  14,  52,  59,  15,  53,  60,  15,  54,  59,  14,  53,  59,  14,  54,  60,  15,  54,  60,  16,  55,  60,  16,  55,  61,  17,  56,  61,  16,  55,  61,  16,  55,  62,  17,  56,  64,  19,  58,
    62,  18,  57,  64,  18,  57,  65,  19,  57,  65,  18,  57,  65,  18,  57,  66,  18,  57,  66,  19,  58,  68,  17,  57,  68,  20,  60,  68,  20,  61,  70,  22,  62,  69,  21,  63,  70,  20,  63,  71,  20,  63,  71,  21,  63,  71,  21,  63,  73,  22,  65,  74,  23,  67,  76,  23,  67,  76,  22,  68,  76,  24,  68,
    76,  23,  69,  76,  24,  70,  78,  25,  71,  78,  27,  73,  79,  24,  73,  79,  24,  74,  82,  27,  76,  81,  26,  75,  82,  26,  75,  83,  27,  76,  84,  28,  78,  85,  29,  78,  85,  29,  78,  85,  28,  78,  87,  31,  80,  88,  31,  81,  86,  29,  80,  88,  31,  82,  87,  30,  81,  90,  32,  83,  90,  30,  84,
    90,  33,  84,  89,  31,  83,  90,  33,  84,  91,  31,  84,  89,  29,  83,  91,  31,  84,  90,  30,  84,  90,  32,  84,  87,  29,  81,  87,  32,  81,  85,  31,  79,  84,  30,  78,  82,  33,  78,  81,  33,  78,  80,  34,  76,  79,  33,  73,  77,  33,  72,  75,  33,  74,  73,  32,  73,  76,  40,  75,  76,  43,  77,
    75,  49,  82,  73,  50,  82,  73,  52,  81,  72,  52,  80,  69,  50,  77,  68,  53,  80,  68,  59,  83,  75,  73,  93,  86,  91, 107, 101, 109, 123, 126, 138, 149, 151, 163, 172, 169, 179, 186, 174, 183, 189, 176, 185, 189, 173, 184, 188, 168, 180, 185, 164, 178, 184, 158, 171, 179, 153, 168, 176, 153, 169, 177,
   152, 168, 177, 153, 167, 176, 158, 168, 179, 157, 166, 179, 150, 158, 171, 132, 142, 157, 113, 123, 139,  93, 101, 117,  74,  77,  92,  60,  55,  70,  51,  38,  56,  49,  29,  49,  45,  23,  45,  43,  21,  43,  41,  18,  42,  41,  17,  41,  39,  16,  40,  38,  15,  37,  39,  17,  36,  42,  19,  38,  42,  17,  37,
    36,   9,  33,  39,  13,  36,  41,  15,  39,  40,  14,  37,  37,  11,  34,  35,   9,  32,  35,   9,  32,  37,  12,  35,  37,   8,  33,  38,   9,  34,  40,  11,  36,  38,   9,  34,  38,   9,  35,  39,  10,  37,  38,  11,  37,  37,  10,  36,  37,  10,  36,  38,  11,  37,  39,  12,  38,  38,  12,  38,  39,  12,  38,
    40,  14,  39,  40,  14,  38,  40,  14,  38,  40,  13,  38,  39,  14,  38,  39,  15,  39,  37,  13,  37,  40,  15,  40,  39,  13,  38,  43,  18,  41,  41,  15,  40,  44,  20,  44,  55,  33,  56,  49,  27,  51,  46,  24,  48,  44,  22,  46,  45,  23,  47,  50,  27,  51,  54,  33,  55,  52,  31,  55,  50,  30,  53,
    50,  30,  53,  50,  32,  53,  53,  35,  56,  55,  40,  61,  58,  44,  65,  61,  48,  66,  63,  52,  71,  68,  57,  77,  68,  61,  81,  72,  67,  85,  77,  75,  91,  86,  85, 101,  94,  94, 109,  92,  95, 109,  86,  90, 103,  83,  89, 102,  85,  92, 105,  90,  97, 112,  93, 102, 116,  96, 106, 120,  99, 109, 125,
   104, 118, 133, 109, 122, 139, 111, 124, 139, 113, 127, 142, 114, 128, 144, 116, 131, 147, 115, 130, 148, 117, 133, 150, 116, 132, 150, 114, 131, 151, 117, 133, 154, 112, 130, 151, 111, 128, 149, 110, 126, 146, 105, 122, 141, 104, 121, 140, 104, 122, 142, 103, 121, 142, 101, 119, 141,  97, 116, 137, 108, 127, 148,
   101, 122, 143, 100, 120, 141,  90, 111, 133,  93, 109, 132,  92, 106, 130,  79,  95, 119, 109, 123, 144,  98, 113, 132, 103, 118, 136,  87, 100, 119,  80,  90, 110,  96, 106, 124, 116, 131, 148,  74,  89, 108,  84,  98, 117,  78,  91, 110,  75,  87, 108,  87,  99, 120,  76,  89, 111,  77,  90, 113,  78,  90, 115,
    71,  83, 109,  81,  92, 118,  85,  94, 121,  79,  88, 115,  76,  85, 112,  77,  86, 113,  77,  85, 112,  76,  83, 109,  77,  82, 106,  71,  76,  99,  70,  74,  97,  67,  72,  92,  68,  72,  90,  67,  68,  87,  64,  65,  81,  60,  60,  75,  53,  53,  66,  45,  47,  56,  40,  42,  50,  36,  39,  47,  34,  35,  44,
    30,  32,  38,  25,  26,  32,  27,  25,  31,  25,  23,  29,  27,  25,  31,  30,  28,  34,  33,  31,  37,  32,  31,  37,  30,  30,  36,  31,  33,  39,  35,  37,  45,  36,  38,  48,  41,  43,  54,  43,  46,  60,  48,  53,  71,  51,  57,  77,  56,  66,  86,  66,  75,  98,  79,  87, 109,  90,  97, 120, 101, 107, 131,
   109, 113, 139, 116, 121, 147, 125, 128, 154, 127, 131, 156, 131, 133, 158, 132, 133, 158, 133, 134, 158, 135, 133, 155, 133, 130, 151, 134, 129, 149, 132, 126, 143, 130, 120, 134, 125, 115, 126, 118, 109, 119, 108, 100, 107, 100,  92,  99,  93,  85,  92,  88,  80,  87,  86,  77,  84,  86,  79,  85,  95,  88,  93,
    53,  12,  49,  57,  16,  53,  56,  15,  52,  57,  14,  51,  58,  15,  52,  58,  14,  52,  59,  16,  52,  58,  14,  52,  59,  16,  54,  59,  16,  53,  59,  14,  52,  60,  15,  54,  59,  14,  54,  60,  16,  54,  60,  16,  55,  61,  17,  56,  61,  16,  55,  60,  16,  55,  62,  17,  56,  63,  18,  57,  62,  17,  56,
    63,  17,  57,  62,  16,  56,  64,  16,  56,  65,  19,  58,  66,  19,  58,  66,  18,  58,  67,  20,  59,  66,  18,  60,  67,  19,  59,  67,  21,  59,  69,  21,  62,  68,  20,  62,  70,  22,  64,  70,  21,  63,  71,  21,  63,  71,  21,  63,  73,  23,  65,  73,  22,  66,  75,  22,  67,  76,  23,  68,  76,  24,  69,
    77,  26,  70,  77,  24,  71,  79,  25,  71,  79,  26,  73,  79,  24,  74,  81,  26,  74,  82,  27,  76,  80,  25,  75,  84,  28,  78,  83,  26,  77,  84,  29,  78,  85,  29,  78,  85,  28,  78,  86,  29,  79,  87,  30,  80,  87,  29,  79,  87,  30,  81,  89,  31,  82,  90,  33,  83,  90,  31,  83,  89,  30,  82,
    90,  32,  84,  89,  32,  84,  90,  31,  85,  91,  33,  85,  90,  30,  84,  90,  29,  83,  90,  30,  85,  89,  31,  83,  87,  31,  81,  87,  32,  81,  85,  32,  80,  81,  27,  76,  79,  25,  74,  77,  26,  73,  75,  28,  73,  76,  31,  72,  79,  37,  76,  79,  40,  78,  80,  44,  81,  80,  48,  82,  82,  57,  89,
    81,  58,  89,  82,  62,  90,  79,  60,  89,  78,  61,  89,  74,  58,  85,  71,  59,  84,  69,  60,  84,  69,  66,  88,  72,  74,  93,  80,  88, 103, 103, 114, 127, 132, 144, 155, 161, 170, 178, 175, 184, 188, 177, 186, 190, 174, 185, 189, 168, 180, 185, 164, 176, 183, 162, 175, 181, 157, 172, 178, 152, 169, 176,
   149, 167, 176, 149, 166, 175, 152, 167, 176, 159, 170, 181, 159, 169, 182, 154, 164, 177, 142, 154, 167, 130, 143, 157, 110, 124, 137,  90,  96, 109,  70,  71,  86,  60,  52,  69,  50,  36,  54,  46,  29,  50,  45,  26,  49,  43,  22,  46,  44,  23,  45,  41,  20,  42,  42,  21,  41,  42,  20,  39,  44,  19,  39,
    40,  15,  36,  39,  15,  37,  40,  16,  38,  38,  13,  36,  36,  11,  34,  40,  15,  37,  38,  12,  35,  38,  12,  35,  36,  10,  34,  37,  11,  35,  37,  10,  35,  40,  11,  36,  38,   9,  35,  40,  12,  37,  38,  11,  37,  37,  10,  36,  38,  11,  37,  37,  10,  36,  41,  14,  40,  36,  10,  37,  38,  13,  39,
    40,  16,  41,  43,  17,  41,  41,  15,  39,  40,  15,  39,  41,  17,  41,  41,  17,  41,  39,  15,  39,  37,  13,  37,  40,  15,  39,  40,  16,  40,  48,  25,  48,  58,  39,  60,  50,  29,  52,  43,  21,  45,  45,  22,  46,  47,  27,  49,  47,  26,  48,  52,  32,  54,  56,  37,  59,  55,  37,  59,  52,  34,  57,
    51,  35,  55,  52,  35,  57,  53,  38,  59,  60,  46,  66,  63,  52,  70,  66,  56,  73,  67,  59,  75,  66,  61,  76,  67,  63,  78,  70,  70,  85,  77,  78,  93,  91,  91, 108, 100, 101, 117, 100, 106, 120,  94, 101, 114,  85,  95, 107,  85,  93, 106,  90, 100, 112,  93, 104, 117,  98, 109, 124, 100, 114, 130,
   105, 119, 136, 109, 123, 140, 113, 128, 144, 115, 131, 146, 115, 131, 147, 113, 129, 145, 116, 131, 149, 115, 131, 149, 117, 132, 151, 116, 133, 152, 117, 133, 152, 115, 132, 151, 112, 129, 148, 108, 124, 144, 106, 122, 141, 103, 120, 139, 104, 121, 140, 104, 121, 142, 101, 120, 142,  98, 118, 140, 104, 124, 145,
    98, 120, 141, 105, 126, 146,  93, 114, 136,  96, 111, 134,  90, 104, 128, 131, 146, 165, 112, 132, 151, 105, 122, 139, 106, 122, 139,  96, 111, 129, 105, 118, 135, 100, 115, 133,  95, 111, 129,  87, 101, 119,  77,  90, 110,  75,  89, 110,  73,  86, 107,  72,  85, 107,  87, 100, 121,  68,  83, 105,  71,  86, 108,
    97, 108, 132,  80,  91, 118,  75,  85, 112,  78,  87, 114,  77,  86, 113,  78,  87, 114,  77,  85, 112,  78,  85, 112,  75,  80, 105,  71,  77, 100,  69,  75,  97,  67,  71,  92,  65,  70,  89,  66,  67,  86,  64,  65,  81,  62,  62,  76,  57,  56,  70,  47,  48,  57,  42,  44,  52,  36,  39,  47,  36,  38,  46,
    31,  34,  40,  29,  30,  36,  25,  25,  31,  26,  26,  32,  28,  28,  34,  31,  30,  37,  33,  32,  41,  33,  31,  41,  31,  31,  40,  32,  35,  40,  35,  37,  44,  39,  41,  50,  40,  43,  53,  44,  48,  62,  46,  51,  70,  50,  57,  79,  56,  66,  89,  67,  79, 101,  77,  88, 110,  87,  96, 118, 100, 105, 130,
   108, 112, 140, 117, 121, 149, 123, 127, 154, 126, 130, 156, 130, 133, 159, 132, 133, 159, 133, 134, 158, 134, 132, 155, 133, 130, 152, 133, 129, 150, 129, 124, 142, 128, 120, 134, 125, 117, 129, 118, 109, 118, 110, 102, 109, 101,  93, 100,  93,  85,  92,  86,  78,  85,  87,  79,  86,  87,  80,  85,  93,  86,  91,
    55,  16,  53,  55,  15,  52,  54,  13,  50,  57,  14,  51,  58,  15,  52,  57,  14,  52,  57,  14,  52,  58,  15,  53,  57,  14,  52,  58,  14,  53,  59,  15,  54,  60,  15,  54,  60,  16,  55,  59,  14,  53,  59,  16,  55,  59,  14,  54,  61,  17,  56,  60,  16,  54,  61,  15,  55,  62,  17,  55,  60,  15,  55,
    62,  17,  57,  63,  16,  57,  64,  17,  58,  65,  18,  57,  67,  17,  58,  66,  18,  58,  67,  19,  59,  67,  19,  60,  68,  20,  60,  68,  21,  60,  67,  20,  60,  69,  20,  62,  70,  22,  63,  69,  20,  63,  71,  22,  64,  72,  22,  64,  73,  23,  65,  73,  23,  66,  75,  24,  67,  75,  22,  67,  75,  22,  68,
    76,  24,  70,  78,  25,  71,  78,  24,  72,  78,  24,  72,  80,  25,  73,  80,  25,  74,  80,  25,  74,  82,  27,  76,  83,  27,  77,  85,  29,  78,  85,  29,  79,  86,  30,  80,  85,  28,  79,  86,  30,  80,  88,  31,  82,  85,  27,  79,  88,  31,  82,  88,  28,  80,  88,  29,  81,  90,  31,  82,  90,  31,  83,
    89,  30,  82,  90,  30,  85,  91,  31,  85,  91,  31,  86,  91,  29,  85,  91,  30,  85,  88,  28,  83,  88,  28,  82,  87,  30,  81,  86,  30,  80,  84,  30,  79,  82,  27,  77,  80,  28,  76,  80,  32,  77,  80,  35,  78,  80,  37,  78,  82,  44,  82,  87,  51,  87,  85,  54,  88,  82,  57,  90,  80,  57,  87,
    77,  55,  85,  75,  55,  85,  73,  55,  85,  71,  55,  84,  65,  51,  80,  67,  55,  81,  67,  59,  83,  66,  63,  86,  65,  65,  86,  70,  77,  95,  81,  91, 108, 104, 117, 132, 138, 149, 160, 164, 173, 182, 175, 185, 189, 176, 187, 191, 172, 183, 187, 167, 179, 183, 166, 178, 184, 164, 177, 183, 157, 172, 179,
   154, 170, 177, 151, 168, 176, 150, 167, 175, 151, 167, 178, 155, 170, 179, 159, 172, 182, 158, 170, 180, 155, 166, 178, 147, 158, 172, 132, 146, 159, 110, 122, 134,  88,  95, 110,  70,  72,  88,  60,  55,  72,  54,  44,  64,  48,  34,  56,  51,  35,  55,  49,  32,  53,  46,  28,  48,  47,  28,  47,  47,  27,  47,
    44,  24,  43,  39,  19,  38,  43,  23,  41,  40,  17,  38,  37,  13,  36,  35,  11,  35,  38,  16,  38,  37,  14,  37,  37,  14,  36,  38,  12,  36,  38,  12,  36,  39,  10,  35,  41,  13,  38,  38,  10,  36,  38,  11,  37,  38,  11,  37,  38,  12,  38,  37,  12,  37,  37,  10,  37,  37,  11,  37,  36,  12,  37,
    40,  15,  40,  41,  17,  41,  41,  17,  41,  41,  16,  41,  43,  19,  43,  42,  20,  44,  43,  19,  43,  41,  17,  41,  40,  18,  42,  47,  25,  49,  61,  42,  63,  54,  34,  56,  44,  24,  46,  47,  27,  50,  47,  27,  50,  54,  35,  56,  51,  31,  53,  55,  36,  57,  60,  40,  61,  60,  43,  65,  56,  41,  63,
    54,  40,  61,  55,  40,  61,  61,  47,  66,  67,  54,  72,  78,  70,  85,  81,  75,  90,  79,  75,  89,  73,  72,  87,  68,  69,  83,  75,  78,  91,  79,  84,  97,  89,  95, 110, 108, 115, 129, 118, 125, 141, 112, 122, 135,  94, 106, 118,  88, 100, 112,  89, 101, 113,  92, 104, 116, 101, 114, 127, 106, 120, 136,
   110, 124, 142, 113, 127, 145, 114, 128, 146, 117, 133, 150, 116, 132, 149, 115, 131, 148, 116, 132, 149, 116, 131, 149, 116, 132, 151, 115, 132, 151, 117, 133, 152, 113, 129, 148, 112, 129, 148, 109, 126, 145, 103, 120, 139, 106, 122, 142, 103, 121, 141, 105, 124, 143, 107, 125, 146, 106, 126, 147, 103, 124, 145,
   102, 124, 145, 110, 133, 151, 119, 139, 156, 142, 160, 174, 155, 178, 189, 129, 155, 167, 113, 135, 146, 130, 152, 160, 137, 157, 166, 150, 169, 177, 149, 169, 177, 143, 165, 176, 118, 138, 153,  83,  97, 116,  72,  86, 108,  89, 102, 122,  78,  92, 114,  81,  95, 116,  69,  83, 105,  79,  93, 115,  84,  98, 121,
    72,  85, 111,  76,  88, 114,  78,  89, 116,  82,  91, 118,  81,  89, 116,  81,  89, 116,  81,  89, 116,  79,  86, 113,  73,  79, 104,  73,  79, 102,  70,  74,  98,  67,  71,  92,  68,  71,  90,  65,  66,  85,  65,  65,  82,  63,  63,  77,  57,  57,  71,  49,  49,  60,  45,  47,  55,  41,  44,  52,  41,  43,  51,
    33,  36,  42,  28,  31,  36,  26,  28,  35,  27,  28,  36,  32,  32,  40,  34,  34,  43,  36,  35,  44,  33,  34,  42,  32,  34,  42,  32,  34,  42,  36,  39,  47,  38,  42,  51,  41,  45,  57,  46,  51,  66,  49,  55,  74,  53,  60,  82,  56,  67,  89,  63,  77,  99,  76,  88, 110,  87,  97, 120,  97, 104, 130,
   110, 114, 142, 116, 120, 148, 122, 126, 154, 127, 131, 157, 129, 133, 158, 130, 134, 159, 134, 135, 161, 135, 133, 158, 133, 130, 154, 132, 129, 151, 130, 127, 144, 128, 122, 136, 124, 116, 128, 119, 110, 120, 109, 100, 108, 103,  92, 100,  94,  86,  93,  88,  80,  87,  86,  78,  86,  90,  83,  88,  95,  88,  93,
    53,  15,  52,  53,  14,  51,  55,  14,  51,  55,  14,  51,  57,  13,  51,  59,  15,  53,  58,  14,  52,  58,  16,  53,  59,  15,  54,  59,  15,  54,  59,  14,  54,  59,  13,  53,  60,  15,  54,  60,  16,  55,  59,  15,  54,  61,  18,  56,  60,  15,  54,  62,  17,  56,  62,  17,  56,  61,  16,  55,  61,  16,  55,
    62,  17,  56,  63,  17,  57,  63,  16,  59,  65,  20,  59,  66,  19,  59,  66,  19,  58,  66,  21,  60,  67,  19,  60,  66,  19,  59,  66,  19,  60,  68,  21,  60,  68,  20,  62,  69,  21,  63,  70,  22,  64,  70,  22,  64,  72,  21,  64,  72,  22,  65,  74,  23,  66,  75,  25,  67,  76,  24,  68,  74,  23,  67,
    76,  24,  69,  76,  24,  71,  77,  24,  70,  80,  26,  73,  80,  26,  73,  79,  24,  73,  80,  26,  75,  82,  30,  79,  82,  28,  78,  84,  27,  78,  85,  29,  79,  85,  29,  79,  85,  28,  79,  86,  29,  80,  89,  33,  82,  87,  29,  81,  89,  32,  82,  89,  32,  82,  89,  32,  83,  89,  30,  81,  90,  33,  83,
    90,  33,  83,  90,  32,  83,  92,  32,  86,  91,  30,  86,  90,  30,  86,  92,  33,  87,  90,  31,  84,  88,  29,  83,  87,  30,  81,  86,  30,  80,  84,  29,  78,  82,  30,  77,  82,  31,  77,  84,  38,  81,  82,  40,  81,  82,  40,  81,  83,  45,  83,  88,  54,  89,  85,  54,  88,  77,  51,  84,  73,  49,  81,
    72,  50,  80,  72,  51,  81,  71,  52,  81,  69,  53,  81,  67,  54,  81,  65,  57,  83,  67,  64,  88,  73,  72,  94,  74,  75,  98,  75,  80, 101,  79,  86, 106,  85,  97, 113, 106, 121, 135, 140, 153, 163, 163, 174, 180, 174, 185, 190, 175, 186, 190, 170, 182, 187, 166, 180, 184, 166, 178, 183, 167, 179, 185,
   163, 177, 184, 158, 173, 180, 153, 170, 177, 149, 165, 176, 153, 169, 178, 160, 175, 184, 160, 174, 184, 160, 175, 186, 160, 172, 184, 157, 169, 181, 151, 162, 174, 132, 144, 157, 106, 118, 132,  93,  99, 114,  75,  77,  93,  66,  61,  78,  63,  50,  68,  60,  47,  65,  55,  40,  61,  54,  40,  59,  53,  37,  57,
    51,  34,  52,  46,  26,  45,  45,  24,  44,  48,  27,  48,  42,  19,  42,  39,  15,  39,  41,  17,  41,  41,  19,  40,  39,  16,  39,  39,  14,  37,  40,  14,  38,  39,  14,  38,  41,  16,  40,  40,  14,  40,  40,  13,  39,  40,  13,  39,  39,  13,  39,  40,  16,  41,  38,  14,  40,  41,  18,  43,  38,  15,  40,
    40,  17,  42,  44,  21,  45,  43,  20,  45,  45,  22,  46,  45,  22,  46,  47,  24,  48,  49,  27,  51,  46,  23,  48,  44,  22,  46,  60,  42,  62,  53,  35,  56,  53,  34,  55,  54,  34,  56,  53,  33,  56,  57,  38,  60,  56,  38,  60,  58,  39,  60,  58,  41,  62,  66,  50,  71,  68,  55,  75,  64,  52,  72,
    61,  49,  68,  60,  48,  66,  65,  53,  70,  75,  66,  82,  89,  82,  97,  98,  94, 108,  98,  99, 111,  89,  94, 106,  83,  89, 100,  85,  92, 104,  90,  99, 111, 101, 110, 124, 120, 128, 142, 140, 146, 159, 133, 141, 154, 112, 125, 135,  96, 110, 121,  94, 106, 118,  98, 111, 123, 102, 115, 129, 109, 123, 140,
   116, 131, 147, 118, 132, 150, 118, 132, 150, 119, 134, 152, 117, 131, 150, 115, 131, 149, 117, 133, 151, 116, 132, 151, 116, 132, 151, 115, 132, 151, 118, 135, 154, 113, 132, 150, 111, 128, 147, 110, 127, 145, 103, 123, 141, 106, 126, 143, 102, 122, 141, 102, 123, 143, 101, 123, 142, 107, 128, 147, 108, 130, 148,
   118, 140, 157, 133, 154, 168, 111, 133, 145,  75,  91, 104,  53,  67,  78,  55,  67,  77,  53,  65,  75,  50,  62,  72,  59,  70,  78,  61,  72,  80,  72,  83,  92,  88, 107, 117, 125, 145, 156, 131, 146, 159, 118, 137, 155, 110, 127, 146,  96, 114, 134,  78,  95, 117,  84,  98, 119,  69,  83, 106,  70,  84, 108,
    82,  96, 119,  82,  94, 119,  91, 102, 126,  84,  94, 121,  81,  90, 117,  80,  88, 116,  81,  88, 116,  83,  90, 117,  75,  81, 107,  72,  78, 101,  70,  75,  98,  67,  70,  93,  67,  71,  91,  68,  71,  89,  65,  65,  82,  63,  64,  79,  58,  58,  71,  55,  56,  66,  49,  50,  59,  41,  44,  52,  43,  46,  54,
    36,  39,  44,  32,  35,  40,  29,  32,  38,  31,  33,  42,  34,  34,  43,  38,  38,  47,  38,  39,  49,  35,  37,  45,  32,  34,  42,  32,  34,  42,  36,  39,  46,  40,  44,  55,  42,  47,  61,  43,  49,  67,  48,  55,  74,  52,  59,  81,  56,  66,  89,  64,  77,  99,  75,  88, 110,  86,  97, 120,  98, 106, 133,
   107, 114, 141, 116, 120, 148, 123, 126, 154, 127, 130, 158, 130, 133, 160, 131, 134, 160, 134, 135, 161, 133, 132, 158, 133, 132, 157, 131, 129, 151, 128, 125, 144, 127, 122, 137, 125, 118, 130, 117, 109, 119, 111, 103, 109, 102,  92,  98,  96,  87,  93,  88,  80,  86,  86,  79,  85,  88,  81,  87,  93,  87,  92,
    53,  14,  50,  54,  16,  52,  55,  15,  51,  56,  15,  52,  54,  13,  51,  55,  14,  52,  56,  15,  53,  57,  14,  53,  56,  15,  52,  60,  16,  55,  58,  13,  53,  59,  14,  54,  59,  14,  53,  60,  16,  54,  59,  16,  53,  60,  15,  54,  61,  17,  56,  60,  14,  53,  61,  16,  55,  61,  16,  55,  62,  17,  56,
    63,  18,  57,  62,  17,  56,  63,  18,  58,  64,  16,  56,  65,  19,  58,  65,  18,  58,  65,  20,  59,  66,  19,  58,  68,  21,  60,  67,  20,  59,  67,  20,  60,  69,  20,  61,  69,  22,  61,  69,  20,  62,  70,  22,  64,  71,  22,  64,  72,  22,  65,  73,  23,  65,  75,  24,  67,  74,  24,  67,  76,  26,  69,
    75,  24,  68,  76,  24,  69,  78,  26,  70,  78,  25,  71,  80,  27,  73,  81,  27,  75,  81,  29,  77,  82,  30,  78,  82,  30,  78,  83,  30,  78,  83,  26,  78,  85,  29,  80,  85,  29,  80,  84,  26,  80,  85,  28,  80,  87,  31,  82,  88,  32,  83,  90,  34,  84,  91,  36,  85,  88,  32,  82,  91,  35,  84,
    90,  35,  84,  91,  35,  84,  91,  32,  85,  91,  32,  85,  90,  29,  84,  88,  28,  83,  89,  32,  83,  87,  28,  80,  85,  29,  80,  85,  30,  79,  84,  31,  78,  84,  33,  78,  83,  34,  78,  83,  38,  80,  80,  36,  78,  79,  36,  78,  80,  41,  79,  82,  45,  81,  80,  46,  80,  70,  40,  75,  70,  44,  77,
    75,  51,  81,  77,  57,  85,  74,  55,  85,  69,  55,  83,  65,  55,  83,  70,  65,  90,  78,  76,  98,  80,  81, 103,  77,  78, 102,  71,  76,  98,  74,  79, 101,  73,  82, 102,  79,  93, 110, 108, 121, 134, 141, 153, 163, 164, 174, 182, 174, 185, 189, 174, 185, 189, 171, 182, 187, 168, 180, 185, 169, 181, 187,
   167, 179, 185, 165, 178, 185, 158, 173, 180, 153, 169, 177, 155, 171, 179, 158, 174, 181, 158, 174, 182, 159, 174, 182, 159, 174, 183, 160, 175, 184, 161, 174, 183, 157, 171, 181, 149, 160, 172, 134, 144, 156, 115, 124, 137,  93, 100, 115,  82,  87, 103,  70,  70,  88,  66,  59,  77,  63,  54,  71,  63,  52,  70,
    61,  46,  64,  54,  37,  56,  54,  36,  55,  55,  36,  57,  49,  29,  50,  39,  17,  41,  41,  19,  43,  45,  22,  44,  42,  19,  42,  42,  18,  41,  42,  18,  42,  44,  21,  44,  46,  23,  47,  45,  21,  46,  45,  21,  46,  43,  18,  44,  44,  22,  47,  48,  26,  51,  52,  32,  56,  52,  32,  55,  42,  20,  44,
    41,  19,  43,  48,  26,  50,  47,  25,  49,  49,  28,  51,  49,  28,  51,  52,  31,  53,  54,  33,  55,  53,  33,  55,  57,  39,  62,  55,  40,  61,  52,  38,  59,  59,  46,  66,  64,  51,  71,  64,  50,  70,  66,  51,  72,  65,  49,  69,  64,  49,  67,  63,  53,  72,  77,  70,  88,  81,  77,  93,  73,  68,  85,
    69,  62,  79,  74,  68,  84,  73,  68,  83,  82,  83,  97, 100, 101, 116, 110, 114, 127, 118, 122, 135, 113, 120, 130, 109, 118, 129, 110, 119, 132, 112, 123, 134, 119, 132, 144, 140, 150, 162, 159, 166, 179, 158, 167, 177, 138, 155, 164, 112, 132, 139, 104, 124, 132, 106, 124, 134, 108, 125, 137, 114, 131, 146,
   125, 141, 156, 126, 142, 159, 128, 144, 161, 127, 143, 160, 127, 143, 160, 122, 138, 155, 116, 134, 152, 117, 135, 152, 117, 135, 154, 113, 133, 151, 115, 134, 152, 113, 133, 151, 117, 135, 153, 108, 129, 146, 108, 128, 146, 109, 129, 146,  97, 119, 137, 105, 127, 145, 107, 132, 148, 126, 149, 163, 129, 153, 166,
   106, 127, 138,  63,  77,  88,  37,  48,  61,  23,  37,  50,  20,  36,  49,  45,  57,  68,  23,  38,  49,  32,  45,  54,  26,  40,  49,  23,  37,  47,  29,  42,  52,  34,  47,  60,  64,  74,  84, 105, 118, 127, 126, 146, 157, 143, 165, 175, 112, 130, 148,  81,  99, 120,  75,  91, 113,  75,  90, 111,  75,  90, 113,
    70,  85, 109,  79,  94, 118,  86,  99, 122,  87,  97, 120,  85,  95, 121,  84,  93, 120,  87,  95, 123,  78,  87, 115,  75,  82, 109,  74,  81, 105,  72,  79, 101,  81,  86, 105,  72,  76,  95,  72,  75,  92,  66,  66,  82,  63,  64,  79,  59,  59,  72,  60,  61,  71,  52,  54,  63,  50,  52,  60,  43,  46,  54,
    39,  43,  48,  32,  36,  41,  32,  35,  41,  33,  35,  43,  38,  40,  49,  39,  40,  50,  40,  41,  51,  36,  37,  47,  33,  35,  44,  34,  35,  45,  39,  42,  52,  41,  44,  57,  44,  50,  64,  46,  51,  70,  49,  55,  74,  54,  62,  82,  57,  67,  89,  63,  76,  98,  75,  87, 111,  84,  96, 119,  97, 106, 132,
   106, 113, 140, 114, 121, 148, 122, 126, 154, 125, 129, 157, 129, 132, 160, 131, 134, 162, 133, 135, 161, 131, 132, 158, 132, 132, 157, 131, 129, 153, 128, 124, 145, 126, 121, 137, 123, 116, 130, 118, 110, 120, 111, 102, 110, 105,  96, 102,  96,  87,  91,  89,  80,  84,  86,  79,  84,  89,  81,  86,  95,  88,  94,
    55,  15,  51,  54,  14,  51,  54,  13,  50,  57,  16,  53,  55,  14,  51,  56,  15,  52,  56,  15,  52,  56,  15,  52,  57,  16,  53,  58,  15,  53,  60,  15,  54,  60,  15,  54,  58,  13,  52,  59,  16,  53,  60,  17,  54,  61,  16,  53,  61,  16,  55,  61,  16,  55,  62,  17,  56,  62,  18,  56,  62,  17,  56,
    62,  17,  56,  64,  19,  58,  62,  17,  56,  66,  18,  57,  67,  20,  59,  65,  18,  58,  65,  19,  58,  66,  19,  58,  67,  20,  59,  68,  21,  60,  68,  21,  60,  69,  22,  61,  70,  20,  60,  70,  22,  62,  72,  22,  64,  72,  24,  66,  72,  22,  64,  73,  23,  65,  73,  23,  65,  74,  24,  67,  74,  24,  67,
    77,  27,  70,  77,  26,  70,  77,  26,  70,  79,  25,  72,  80,  28,  74,  78,  26,  74,  81,  29,  76,  80,  28,  76,  84,  32,  79,  84,  31,  80,  88,  38,  85,  94,  43,  89,  97,  48,  89,  98,  48,  91,  98,  48,  91,  99,  49,  92, 100,  49,  94, 101,  49,  97, 102,  51,  98, 104,  51,  98, 103,  52,  98,
   103,  52,  96, 104,  53,  98, 103,  49,  96, 104,  50,  96, 102,  48,  94, 100,  45,  91,  95,  41,  87,  91,  35,  83,  88,  33,  81,  85,  30,  79,  82,  28,  77,  86,  36,  80,  81,  33,  77,  80,  34,  77,  79,  34,  75,  76,  33,  73,  75,  33,  71,  75,  36,  73,  73,  36,  72,  72,  39,  74,  73,  45,  77,
    73,  48,  77,  73,  51,  79,  73,  56,  82,  75,  61,  89,  80,  72,  98,  83,  79, 104,  83,  80, 106,  76,  76, 101,  69,  72,  96,  65,  68,  92,  64,  69,  92,  66,  72,  92,  67,  76,  96,  78,  93, 108, 106, 122, 135, 140, 153, 164, 166, 175, 183, 178, 187, 191, 178, 188, 192, 173, 184, 189, 167, 179, 184,
   170, 182, 188, 167, 179, 185, 164, 177, 183, 158, 174, 181, 157, 173, 180, 158, 174, 181, 158, 174, 181, 158, 174, 182, 159, 174, 183, 159, 174, 183, 161, 176, 185, 164, 177, 187, 164, 175, 185, 159, 170, 180, 148, 159, 171, 136, 149, 162, 116, 129, 144,  98, 112, 126,  79,  87, 102,  71,  76,  91,  75,  74,  89,
    73,  65,  82,  67,  57,  75,  62,  50,  68,  64,  49,  67,  56,  39,  60,  48,  29,  51,  43,  23,  45,  47,  26,  48,  49,  28,  50,  52,  30,  52,  53,  32,  54,  52,  31,  53,  52,  32,  55,  53,  32,  56,  51,  29,  53,  51,  28,  52,  53,  33,  56,  55,  36,  61,  62,  45,  68,  65,  48,  71,  51,  34,  57,
    50,  33,  55,  52,  36,  57,  53,  36,  56,  55,  37,  57,  60,  43,  61,  65,  51,  67,  67,  57,  74,  66,  55,  74,  67,  58,  75,  64,  56,  73,  66,  58,  75,  69,  61,  78,  75,  67,  84,  78,  70,  89,  83,  78,  94,  80,  75,  91,  75,  71,  85,  83,  78,  92, 101, 100, 112, 105, 105, 116,  92,  93, 104,
    96,  96, 109,  95,  95, 109,  91,  97, 111, 101, 109, 122, 115, 123, 135, 132, 140, 150, 143, 152, 161, 147, 156, 165, 145, 154, 163, 142, 152, 162, 143, 152, 162, 149, 160, 169, 159, 173, 179, 175, 183, 192, 180, 189, 196, 166, 181, 187, 143, 164, 169, 131, 152, 158, 128, 149, 155, 127, 147, 155, 129, 147, 158,
   137, 155, 166, 146, 163, 174, 145, 160, 173, 143, 160, 172, 137, 153, 167, 131, 147, 161, 119, 140, 154, 117, 137, 153, 117, 137, 154, 116, 137, 155, 122, 141, 158, 124, 141, 158, 122, 141, 156, 121, 138, 155, 112, 131, 148, 113, 132, 149, 105, 126, 143, 114, 137, 154, 127, 151, 165, 102, 126, 139,  59,  77,  90,
    36,  54,  66,  20,  36,  48,  20,  34,  45,  17,  31,  45,  55,  67,  79,  30,  45,  58,  29,  43,  56,  26,  41,  53,  25,  40,  52,  31,  44,  56,  27,  41,  54,  26,  39,  53,  30,  41,  53,  37,  50,  62,  70,  86,  96, 107, 125, 133, 142, 157, 166, 105, 123, 140,  82,  99, 118,  77,  93, 114,  65,  83, 105,
    77,  93, 116,  84, 100, 121,  86, 100, 123,  85,  96, 120,  81,  92, 117, 101, 112, 136,  97, 108, 132,  80,  90, 117,  74,  84, 109,  76,  85, 108,  91,  99, 119,  78,  84, 103,  74,  78,  96,  72,  77,  93,  68,  72,  86,  65,  66,  79,  61,  63,  73,  63,  64,  74,  57,  60,  69,  52,  55,  63,  47,  51,  58,
    37,  42,  49,  34,  38,  43,  34,  38,  42,  33,  35,  44,  39,  41,  51,  41,  42,  52,  41,  43,  53,  38,  40,  51,  35,  37,  48,  35,  37,  48,  38,  41,  52,  42,  46,  58,  46,  51,  66,  44,  51,  68,  51,  57,  76,  54,  62,  81,  58,  68,  89,  64,  77,  99,  76,  88, 111,  84,  96, 121,  95, 105, 132,
   103, 112, 140, 112, 119, 146, 120, 126, 153, 127, 131, 158, 127, 131, 159, 130, 133, 161, 131, 133, 160, 132, 133, 158, 129, 128, 154, 129, 128, 151, 128, 125, 147, 126, 121, 140, 123, 116, 131, 118, 110, 120, 112, 104, 112, 104,  97, 101,  99,  90,  93,  90,  81,  84,  89,  80,  83,  90,  82,  85,  92,  86,  91,
    54,  13,  50,  55,  15,  51,  55,  13,  51,  55,  14,  51,  55,  14,  50,  55,  14,  51,  56,  15,  52,  57,  15,  52,  58,  15,  52,  57,  13,  52,  58,  13,  52,  59,  14,  53,  59,  16,  53,  59,  16,  52,  60,  15,  52,  59,  14,  53,  60,  15,  54,  60,  15,  54,  62,  15,  56,  63,  17,  56,  61,  16,  55,
    63,  18,  57,  63,  19,  57,  63,  17,  56,  64,  17,  56,  66,  19,  58,  65,  18,  58,  66,  19,  59,  66,  19,  58,  66,  19,  58,  66,  20,  58,  67,  20,  59,  70,  23,  61,  70,  20,  60,  70,  20,  61,  70,  19,  62,  71,  22,  64,  72,  23,  65,  72,  21,  65,  74,  24,  66,  74,  24,  66,  76,  24,  67,
    76,  26,  69,  76,  25,  68,  76,  25,  69,  79,  25,  70,  79,  26,  73,  80,  28,  75,  84,  32,  79,  85,  34,  81,  86,  37,  84,  91,  42,  87,  99,  50,  93,  99,  51,  93,  98,  49,  92,  97,  46,  91,  96,  45,  90,  96,  44,  90,  95,  43,  90,  95,  41,  91,  96,  42,  92,  95,  41,  91,  96,  43,  92,
    96,  42,  92,  98,  43,  91, 100,  46,  93, 100,  46,  93, 101,  47,  94, 103,  51,  93, 102,  49,  92, 103,  52,  93, 101,  52,  92,  98,  49,  91,  95,  47,  88,  91,  44,  84,  85,  37,  80,  77,  30,  72,  71,  23,  65,  73,  29,  67,  73,  31,  68,  73,  32,  69,  73,  33,  69,  72,  37,  71,  70,  38,  72,
    66,  39,  68,  70,  48,  75,  76,  59,  84,  80,  68,  93,  81,  73,  99,  78,  73,  99,  73,  70,  97,  70,  68,  94,  70,  69,  94,  66,  68,  92,  66,  69,  91,  66,  72,  92,  72,  80,  99,  73,  86, 103,  82,  98, 114, 105, 121, 135, 141, 153, 164, 168, 178, 185, 178, 187, 191, 174, 185, 189, 169, 180, 185,
   168, 180, 186, 168, 180, 186, 164, 177, 183, 160, 173, 180, 158, 173, 180, 158, 174, 181, 158, 175, 182, 158, 174, 181, 158, 174, 181, 158, 174, 183, 158, 174, 183, 161, 178, 185, 163, 177, 184, 164, 177, 185, 165, 176, 185, 162, 174, 183, 156, 166, 177, 144, 155, 167, 126, 137, 152, 105, 116, 130,  93, 100, 114,
    88,  91, 106,  76,  74,  91,  69,  65,  81,  68,  60,  77,  69,  57,  75,  61,  46,  66,  50,  33,  54,  55,  35,  55,  56,  36,  57,  58,  38,  58,  60,  40,  60,  60,  41,  62,  58,  40,  61,  58,  39,  60,  58,  39,  61,  58,  38,  61,  60,  41,  64,  62,  47,  70,  69,  56,  77,  69,  60,  80,  65,  57,  77,
    67,  59,  78,  66,  58,  76,  58,  52,  67,  66,  59,  72,  78,  71,  84,  90,  85,  98,  89,  92, 106,  89,  94, 108,  91,  96, 108,  88,  92, 104,  84,  89, 100,  84,  90, 101,  88,  97, 109, 107, 114, 128, 121, 127, 140, 114, 121, 134, 104, 115, 124, 110, 122, 132, 130, 138, 148, 138, 144, 153, 129, 136, 144,
   126, 132, 141, 130, 136, 147, 133, 145, 156, 130, 144, 154, 136, 150, 158, 148, 160, 167, 165, 175, 182, 176, 184, 190, 173, 183, 190, 173, 183, 191, 169, 180, 187, 172, 183, 190, 181, 192, 197, 190, 199, 205, 198, 206, 212, 193, 205, 210, 181, 196, 200, 171, 188, 194, 164, 182, 188, 158, 178, 183, 159, 178, 184,
   162, 179, 186, 171, 185, 192, 169, 184, 189, 168, 182, 187, 156, 173, 181, 138, 160, 168, 131, 153, 162, 121, 146, 157, 118, 141, 157, 124, 147, 162, 130, 150, 164, 136, 153, 166, 135, 153, 166, 136, 153, 166, 128, 149, 163, 122, 144, 158, 124, 146, 160, 134, 154, 166,  83, 108, 122,  38,  48,  60,  28,  41,  52,
    18,  33,  44,  20,  37,  49,  23,  39,  51,  46,  61,  74,  34,  50,  65,  31,  48,  65,  30,  47,  63,  31,  47,  64,  36,  53,  69,  38,  54,  69,  28,  47,  61,  32,  49,  62,  26,  40,  53,  37,  50,  62,  25,  42,  53,  45,  59,  68,  96, 111, 120, 132, 148, 157, 108, 123, 139,  80,  98, 119,  66,  87, 109,
    86, 103, 125,  83,  99, 121,  80,  95, 119, 107, 123, 146, 118, 131, 152,  94, 108, 131,  82,  95, 121,  87, 101, 126,  86,  99, 124,  98, 112, 132,  91, 102, 121,  90,  97, 115,  87,  91, 107,  80,  84,  99,  72,  78,  91,  66,  70,  82,  70,  71,  82,  66,  67,  78,  61,  63,  73,  54,  58,  67,  50,  55,  63,
    43,  49,  56,  34,  39,  45,  37,  40,  46,  37,  40,  49,  44,  46,  56,  45,  47,  58,  46,  48,  59,  40,  42,  53,  34,  37,  48,  35,  38,  49,  39,  45,  56,  43,  49,  62,  47,  52,  67,  49,  57,  73,  53,  60,  78,  55,  63,  82,  58,  68,  89,  66,  79, 102,  76,  88, 112,  85,  97, 122,  95, 106, 132,
   104, 112, 141, 112, 120, 148, 120, 126, 155, 127, 131, 159, 127, 130, 159, 130, 133, 161, 130, 133, 161, 129, 131, 157, 130, 131, 156, 127, 127, 151, 125, 123, 145, 125, 120, 141, 124, 117, 134, 118, 112, 123, 112, 104, 113, 104,  97, 101,  97,  87,  90,  93,  84,  86,  90,  79,  81,  90,  80,  83,  93,  86,  89,
    54,  13,  49,  54,  13,  49,  54,  13,  49,  56,  14,  51,  54,  14,  51,  57,  15,  52,  56,  14,  51,  57,  14,  51,  58,  15,  52,  58,  15,  52,  58,  14,  52,  58,  14,  52,  58,  15,  52,  60,  16,  53,  60,  17,  54,  60,  16,  53,  61,  16,  55,  60,  16,  55,  62,  16,  54,  62,  15,  54,  64,  18,  57,
    63,  16,  55,  62,  15,  54,  64,  19,  56,  65,  18,  57,  65,  18,  57,  65,  19,  58,  65,  18,  57,  66,  19,  58,  66,  19,  58,  68,  18,  58,  68,  20,  59,  70,  20,  60,  69,  19,  60,  71,  22,  62,  70,  20,  62,  72,  22,  64,  71,  21,  64,  74,  24,  65,  73,  22,  65,  75,  24,  66,  75,  24,  67,
    77,  24,  68,  76,  23,  67,  79,  26,  70,  78,  26,  70,  80,  28,  73,  84,  33,  76,  83,  32,  78,  85,  33,  80,  86,  36,  82,  85,  33,  80,  84,  33,  79,  84,  31,  78,  84,  30,  78,  85,  30,  79,  86,  30,  80,  85,  28,  80,  87,  30,  82,  87,  28,  84,  88,  30,  85,  89,  32,  84,  88,  32,  83,
    88,  32,  84,  89,  32,  83,  89,  30,  81,  89,  31,  82,  88,  32,  81,  86,  30,  79,  89,  32,  80,  88,  32,  80,  89,  36,  83,  89,  39,  84,  91,  41,  86,  94,  48,  88,  96,  53,  90,  94,  53,  86,  86,  44,  80,  81,  40,  75,  73,  30,  67,  70,  27,  65,  72,  31,  67,  70,  33,  68,  64,  31,  64,
    65,  34,  64,  72,  48,  73,  73,  57,  81,  75,  61,  86,  71,  62,  88,  75,  68,  95,  73,  69,  95,  75,  72,  98,  72,  69,  94,  71,  73,  94,  69,  72,  93,  70,  75,  96,  76,  83, 102,  75,  84, 103,  82,  95, 114,  85, 100, 117, 106, 122, 135, 147, 157, 167, 170, 179, 186, 178, 187, 191, 173, 184, 188,
   168, 179, 183, 168, 180, 185, 163, 176, 182, 159, 173, 179, 160, 173, 180, 162, 175, 182, 160, 174, 181, 157, 174, 180, 157, 173, 180, 157, 174, 181, 159, 176, 183, 162, 178, 185, 163, 179, 185, 165, 179, 186, 166, 179, 186, 168, 179, 187, 168, 178, 187, 166, 176, 186, 160, 170, 181, 145, 159, 171, 131, 145, 159,
   117, 131, 146, 102, 112, 129,  88,  91, 107,  78,  78,  95,  80,  75,  90,  75,  66,  82,  69,  57,  74,  63,  49,  66,  61,  45,  63,  61,  46,  63,  70,  55,  73,  67,  52,  70,  66,  50,  70,  61,  47,  67,  64,  50,  69,  65,  50,  71,  64,  52,  72,  69,  59,  78,  86,  78,  96,  87,  83, 100,  92,  90, 105,
   104, 102, 117, 104, 103, 116,  96,  96, 108,  91,  95, 106, 114, 118, 129, 131, 139, 149, 141, 151, 161, 146, 156, 166, 144, 155, 165, 139, 151, 161, 136, 148, 157, 131, 144, 154, 137, 149, 158, 160, 169, 178, 169, 179, 187, 170, 180, 189, 153, 172, 179, 160, 177, 184, 171, 182, 189, 170, 183, 189, 163, 176, 182,
   158, 170, 178, 167, 178, 184, 169, 180, 187, 165, 178, 184, 157, 171, 177, 168, 180, 185, 182, 193, 198, 192, 203, 207, 194, 204, 208, 191, 201, 208, 189, 200, 207, 188, 200, 206, 198, 207, 213, 203, 212, 216, 210, 218, 222, 209, 218, 222, 208, 218, 222, 201, 212, 215, 196, 208, 212, 188, 203, 208, 185, 202, 206,
   187, 202, 207, 194, 207, 212, 193, 206, 211, 191, 204, 209, 181, 197, 203, 165, 185, 191, 150, 176, 183, 140, 165, 173, 140, 163, 171, 142, 163, 172, 148, 167, 176, 153, 171, 181, 156, 173, 183, 156, 174, 184, 152, 170, 182, 142, 162, 173, 131, 154, 164,  72,  92, 103,  46,  54,  65,  25,  34,  45,  28,  38,  50,
    27,  41,  52,  28,  47,  59,  51,  71,  83,  43,  64,  79,  50,  71,  86,  42,  63,  79,  59,  76,  92,  43,  63,  80,  41,  61,  78,  38,  58,  76,  33,  55,  72,  36,  56,  71,  33,  51,  65,  34,  49,  61,  34,  49,  61,  31,  47,  59,  57,  74,  85,  98, 115, 124, 135, 153, 162, 107, 123, 140,  78,  97, 118,
    79,  97, 119,  85, 103, 126, 117, 132, 152, 106, 123, 145,  94, 112, 135,  91, 108, 131,  92, 109, 131,  91, 109, 132, 111, 128, 147, 108, 125, 143, 107, 123, 140,  95, 105, 120,  90,  97, 113,  81,  88, 103,  75,  82,  95,  73,  82,  92,  72,  77,  86,  71,  75,  84,  65,  70,  79,  65,  71,  78,  51,  58,  64,
    46,  51,  59,  38,  44,  50,  37,  41,  48,  45,  46,  57,  52,  54,  65,  53,  55,  66,  46,  48,  59,  43,  47,  58,  34,  40,  51,  33,  40,  50,  41,  47,  59,  46,  52,  65,  50,  55,  71,  50,  57,  74,  53,  60,  78,  56,  65,  84,  63,  73,  94,  70,  83, 105,  76,  89, 112,  85,  98, 124,  93, 104, 131,
   102, 114, 141, 111, 119, 148, 119, 125, 156, 123, 128, 158, 128, 132, 160, 127, 132, 160, 130, 133, 161, 127, 130, 155, 128, 130, 155, 125, 126, 150, 126, 124, 146, 123, 119, 141, 121, 117, 134, 118, 112, 124, 114, 105, 115, 107,  97, 103, 100,  91,  94,  92,  81,  83,  90,  79,  81,  90,  79,  81,  95,  85,  88,
    54,  15,  49,  55,  15,  50,  55,  13,  49,  57,  15,  51,  56,  14,  51,  56,  15,  52,  58,  16,  52,  56,  13,  50,  57,  14,  51,  59,  15,  52,  58,  14,  51,  59,  15,  52,  59,  15,  52,  58,  15,  52,  60,  16,  53,  59,  15,  52,  61,  16,  54,  61,  16,  55,  61,  15,  54,  63,  17,  55,  63,  16,  55,
    63,  16,  55,  64,  18,  56,  63,  17,  55,  64,  17,  56,  65,  18,  57,  65,  18,  57,  67,  20,  59,  67,  19,  58,  67,  20,  59,  67,  19,  58,  68,  18,  58,  70,  20,  59,  71,  21,  61,  69,  20,  60,  71,  21,  62,  72,  22,  64,  72,  22,  64,  74,  24,  66,  73,  23,  65,  73,  22,  65,  76,  26,  68,
    77,  23,  67,  77,  24,  68,  78,  25,  68,  80,  26,  70,  80,  28,  71,  79,  25,  71,  80,  25,  73,  81,  28,  74,  80,  24,  73,  82,  29,  76,  82,  28,  75,  83,  29,  76,  84,  29,  76,  85,  30,  77,  84,  26,  77,  85,  28,  79,  84,  27,  79,  84,  27,  79,  85,  27,  80,  88,  31,  82,  86,  29,  81,
    88,  30,  81,  88,  30,  81,  88,  29,  80,  89,  30,  81,  88,  29,  79,  88,  31,  81,  86,  30,  79,  85,  29,  78,  84,  28,  77,  83,  29,  76,  79,  25,  72,  80,  30,  74,  78,  29,  72,  82,  36,  74,  85,  44,  78,  92,  54,  85,  93,  57,  87,  85,  49,  80,  76,  39,  72,  71,  35,  68,  68,  36,  66,
    69,  39,  68,  69,  44,  70,  64,  46,  71,  62,  48,  73,  72,  62,  87,  76,  70,  95,  71,  66,  93,  70,  67,  93,  71,  68,  93,  69,  71,  92,  67,  70,  91,  71,  76,  97,  74,  80, 100,  80,  88, 108,  79,  91, 111,  80,  94, 112,  85, 101, 116, 114, 128, 140, 153, 163, 172, 176, 185, 189, 178, 187, 190,
   173, 184, 187, 167, 179, 182, 160, 174, 180, 159, 173, 179, 159, 173, 179, 162, 176, 182, 162, 176, 182, 158, 173, 180, 156, 172, 178, 157, 173, 181, 160, 176, 183, 162, 178, 185, 164, 179, 185, 165, 179, 185, 164, 178, 184, 165, 179, 185, 165, 178, 186, 168, 180, 188, 167, 180, 189, 166, 177, 188, 161, 174, 184,
   154, 165, 177, 140, 152, 166, 118, 134, 149,  98, 112, 127,  89, 100, 113,  93,  93, 108,  88,  83,  98,  77,  71,  86,  69,  62,  78,  70,  62,  80,  75,  67,  84,  79,  69,  86,  74,  65,  81,  69,  60,  76,  72,  64,  80,  76,  69,  85,  78,  70,  87,  89,  86, 102, 105, 103, 118, 121, 122, 135, 126, 130, 144,
   144, 151, 162, 153, 161, 171, 149, 159, 168, 146, 160, 166, 160, 171, 179, 178, 187, 195, 190, 196, 202, 194, 200, 206, 191, 200, 206, 188, 198, 203, 186, 197, 202, 181, 194, 200, 184, 197, 203, 195, 205, 211, 204, 212, 218, 202, 210, 216, 199, 210, 215, 201, 212, 217, 202, 213, 218, 198, 210, 215, 192, 206, 210,
   190, 203, 208, 196, 205, 210, 196, 207, 211, 189, 203, 208, 180, 197, 201, 187, 201, 204, 196, 207, 211, 205, 214, 218, 207, 216, 220, 204, 215, 221, 204, 215, 220, 203, 215, 220, 205, 216, 220, 209, 221, 225, 214, 225, 229, 218, 228, 231, 221, 228, 231, 217, 226, 230, 212, 224, 228, 208, 220, 224, 207, 218, 221,
   206, 218, 221, 211, 220, 223, 210, 220, 223, 211, 221, 225, 204, 215, 219, 195, 210, 216, 181, 200, 206, 170, 193, 200, 171, 191, 198, 171, 187, 194, 170, 187, 194, 176, 191, 199, 174, 192, 200, 176, 191, 200, 175, 189, 198, 142, 164, 173,  64,  81,  92,  33,  44,  54,  19,  28,  38,  23,  32,  43,  27,  37,  47,
    22,  38,  50,  34,  55,  68,  39,  60,  74,  41,  62,  78,  52,  74,  90,  52,  74,  90,  35,  60,  76,  50,  70,  87,  39,  61,  78,  51,  71,  89,  44,  65,  83,  39,  62,  81,  38,  61,  78,  40,  61,  77,  38,  59,  74,  40,  59,  73,  40,  60,  72,  54,  71,  83,  83,  99, 109, 134, 149, 158,  87, 110, 128,
   106, 127, 146, 101, 121, 143, 102, 120, 143, 104, 122, 145, 102, 121, 142,  99, 117, 138, 101, 120, 140, 133, 151, 167, 134, 151, 167, 131, 149, 162, 119, 137, 152, 110, 127, 142,  99, 116, 133,  96, 112, 125,  92, 106, 119,  93, 106, 118,  85,  95, 104,  81,  91, 100,  81,  91, 100,  71,  79,  87,  61,  69,  76,
    52,  60,  66,  46,  54,  60,  49,  57,  64,  52,  56,  67,  58,  60,  71,  60,  62,  73,  51,  54,  65,  45,  50,  61,  37,  46,  56,  36,  45,  55,  46,  54,  65,  51,  58,  71,  54,  60,  75,  55,  63,  78,  56,  64,  81,  63,  72,  90,  70,  80, 101,  74,  86, 109,  78,  92, 115,  84,  97, 124,  94, 107, 133,
   102, 112, 141, 111, 119, 149, 118, 126, 156, 121, 126, 157, 126, 129, 159, 128, 131, 160, 128, 132, 160, 127, 131, 156, 126, 127, 153, 125, 126, 150, 125, 124, 146, 123, 120, 142, 121, 118, 136, 117, 111, 123, 114, 105, 114, 108,  97, 104, 101,  90,  94,  94,  84,  87,  93,  79,  81,  94,  82,  84,  96,  84,  87,
    54,  14,  49,  54,  14,  49,  54,  13,  49,  56,  15,  51,  55,  12,  50,  56,  13,  50,  57,  14,  51,  58,  15,  52,  58,  14,  51,  57,  13,  50,  58,  14,  51,  58,  14,  51,  59,  15,  52,  59,  16,  53,  59,  15,  52,  59,  15,  52,  61,  17,  54,  61,  17,  54,  60,  15,  54,  62,  15,  54,  63,  16,  55,
    63,  16,  55,  63,  16,  54,  64,  16,  56,  63,  17,  56,  64,  17,  56,  65,  18,  57,  66,  19,  58,  66,  19,  58,  67,  20,  58,  67,  19,  58,  68,  19,  58,  69,  20,  60,  68,  18,  59,  69,  19,  60,  71,  21,  62,  71,  21,  63,  71,  21,  63,  72,  22,  64,  73,  23,  65,  73,  21,  65,  75,  23,  65,
    76,  23,  66,  75,  21,  65,  77,  24,  67,  78,  25,  68,  79,  25,  69,  78,  24,  70,  79,  24,  71,  81,  26,  73,  81,  27,  73,  81,  28,  75,  82,  28,  75,  81,  25,  74,  84,  27,  76,  84,  24,  75,  85,  28,  78,  84,  28,  78,  85,  28,  79,  86,  30,  79,  86,  30,  80,  85,  28,  78,  86,  28,  79,
    86,  29,  80,  88,  29,  79,  88,  29,  80,  88,  29,  80,  87,  29,  80,  85,  26,  77,  84,  27,  76,  85,  29,  76,  82,  28,  74,  81,  27,  73,  79,  25,  72,  78,  26,  71,  74,  23,  67,  72,  23,  66,  72,  25,  64,  72,  28,  65,  74,  32,  66,  80,  44,  74,  91,  60,  88,  94,  65,  92,  83,  53,  80,
    69,  39,  68,  59,  33,  61,  62,  44,  70,  66,  52,  77,  70,  60,  85,  68,  61,  86,  64,  58,  85,  68,  64,  89,  71,  70,  94,  70,  72,  93,  69,  72,  94,  72,  74,  96,  76,  80, 101,  79,  86, 106,  76,  84, 104,  76,  86, 104,  79,  92, 108,  89, 103, 117, 126, 139, 150, 163, 172, 178, 178, 186, 189,
   180, 188, 191, 172, 185, 187, 165, 178, 182, 163, 177, 182, 161, 175, 180, 163, 177, 183, 163, 177, 183, 162, 176, 182, 156, 171, 177, 155, 170, 176, 158, 172, 180, 161, 175, 182, 165, 179, 185, 164, 179, 183, 164, 178, 184, 166, 180, 186, 166, 180, 186, 161, 177, 183, 165, 180, 187, 166, 181, 188, 169, 181, 191,
   169, 181, 191, 160, 173, 185, 152, 166, 179, 136, 152, 166, 116, 134, 147, 112, 124, 138, 106, 110, 124, 101, 100, 115,  88,  88, 103,  85,  87, 102,  95,  99, 114,  99, 102, 117,  90,  95, 108,  85,  86, 101,  92,  90, 106, 102, 102, 117, 102, 104, 120, 111, 114, 129, 135, 143, 156, 149, 158, 171, 159, 171, 182,
   174, 184, 193, 182, 191, 199, 184, 195, 203, 188, 198, 204, 194, 204, 209, 204, 212, 217, 212, 218, 222, 215, 221, 224, 213, 222, 225, 212, 220, 224, 212, 220, 224, 210, 218, 221, 210, 218, 221, 215, 223, 226, 221, 227, 231, 222, 229, 232, 221, 228, 232, 222, 228, 233, 222, 229, 233, 219, 227, 231, 214, 224, 227,
   212, 222, 226, 215, 223, 227, 216, 224, 227, 209, 220, 224, 204, 215, 219, 202, 213, 217, 206, 218, 220, 212, 222, 225, 215, 223, 228, 215, 225, 228, 214, 225, 229, 214, 224, 229, 213, 224, 228, 215, 226, 230, 218, 229, 233, 223, 232, 236, 224, 233, 237, 223, 232, 236, 222, 232, 235, 219, 230, 233, 216, 228, 230,
   218, 228, 231, 220, 229, 232, 222, 231, 234, 222, 231, 234, 218, 227, 231, 212, 223, 227, 208, 220, 225, 203, 216, 220, 199, 211, 216, 194, 209, 214, 189, 206, 212, 192, 208, 214, 192, 206, 213, 192, 204, 211, 166, 183, 192,  86, 103, 114,  33,  44,  54,  15,  26,  36,  31,  40,  50,  31,  43,  55,  36,  49,  61,
    60,  72,  85,  37,  56,  72,  35,  58,  73,  48,  68,  84,  59,  82,  98,  39,  67,  84,  42,  70,  86,  40,  68,  84,  51,  76,  93,  53,  77,  95,  51,  75,  96,  51,  75,  95,  52,  77,  94,  44,  70,  87,  48,  71,  87,  43,  63,  79,  40,  59,  74,  35,  55,  68,  36,  55,  67,  88, 100, 110, 142, 157, 167,
   105, 128, 147, 108, 130, 151, 116, 133, 154, 125, 140, 161, 126, 143, 161, 117, 139, 156, 139, 165, 180, 142, 168, 181, 154, 173, 185, 157, 174, 184, 162, 175, 186, 141, 160, 171, 136, 155, 166, 139, 156, 164, 133, 148, 155, 125, 140, 149, 117, 130, 139, 113, 125, 135,  96, 110, 119,  88, 101, 109,  73,  84,  91,
    60,  72,  75,  53,  65,  68,  56,  64,  69,  62,  67,  79,  66,  69,  80,  63,  67,  78,  60,  65,  74,  52,  58,  68,  44,  54,  63,  47,  57,  67,  53,  61,  73,  55,  62,  75,  56,  64,  78,  55,  64,  79,  63,  70,  88,  67,  77,  95,  69,  80, 100,  75,  88, 111,  78,  92, 116,  83,  96, 121,  93, 106, 131,
   103, 114, 142, 111, 119, 149, 117, 125, 155, 124, 129, 159, 126, 129, 160, 127, 131, 160, 128, 132, 160, 126, 129, 157, 124, 127, 152, 123, 124, 149, 122, 123, 146, 122, 120, 142, 119, 116, 135, 118, 111, 125, 115, 107, 116, 110,  98, 105, 101,  89,  95, 100,  85,  90,  92,  79,  81,  91,  78,  80,  95,  84,  86,
    54,  14,  49,  54,  14,  50,  54,  14,  49,  55,  14,  50,  55,  13,  49,  57,  15,  52,  57,  14,  51,  56,  14,  51,  57,  14,  51,  58,  14,  51,  59,  15,  52,  59,  15,  52,  59,  15,  52,  59,  16,  53,  59,  16,  53,  60,  15,  52,  61,  17,  54,  61,  17,  54,  59,  14,  53,  61,  16,  55,  62,  17,  55,
    64,  18,  56,  64,  18,  55,  63,  16,  55,  64,  17,  56,  63,  16,  55,  65,  17,  57,  65,  18,  57,  65,  18,  57,  65,  18,  57,  67,  19,  58,  67,  19,  58,  69,  20,  60,  70,  20,  60,  69,  19,  61,  70,  21,  62,  71,  21,  63,  71,  21,  63,  72,  22,  64,  73,  23,  65,  74,  23,  65,  74,  23,  65,
    76,  24,  66,  77,  24,  67,  77,  24,  67,  77,  24,  67,  77,  24,  67,  78,  23,  70,  80,  26,  72,  82,  27,  74,  80,  25,  74,  80,  25,  73,  83,  28,  76,  83,  29,  77,  84,  29,  77,  83,  27,  77,  85,  28,  79,  86,  28,  79,  85,  28,  78,  85,  28,  79,  86,  29,  78,  87,  30,  80,  87,  29,  79,
    87,  29,  80,  87,  29,  80,  87,  28,  80,  88,  30,  80,  85,  28,  78,  85,  28,  77,  82,  27,  74,  81,  25,  71,  80,  25,  72,  80,  25,  72,  77,  24,  70,  75,  22,  68,  76,  26,  67,  73,  25,  65,  73,  26,  65,  71,  26,  64,  71,  27,  63,  70,  27,  61,  67,  29,  61,  73,  40,  70,  84,  56,  84,
    88,  64,  89,  86,  66,  91,  75,  58,  84,  69,  55,  81,  65,  54,  80,  61,  53,  80,  64,  59,  84,  72,  69,  94,  71,  70,  94,  70,  72,  96,  71,  73,  97,  71,  73,  96,  76,  80, 100,  67,  73,  92,  60,  67,  86,  58,  67,  86,  70,  83,  99,  76,  91, 107,  90, 106, 119, 129, 142, 152, 165, 174, 178,
   182, 190, 193, 180, 190, 192, 172, 184, 187, 165, 180, 183, 165, 180, 183, 165, 180, 183, 163, 177, 183, 161, 175, 181, 161, 175, 181, 158, 171, 178, 157, 170, 177, 160, 175, 181, 162, 176, 182, 165, 180, 184, 167, 182, 186, 165, 180, 184, 167, 181, 186, 163, 179, 185, 163, 179, 186, 166, 182, 189, 168, 183, 190,
   167, 182, 190, 170, 183, 193, 169, 181, 192, 165, 177, 188, 153, 167, 179, 142, 157, 170, 133, 145, 158, 125, 134, 147, 116, 123, 138, 110, 118, 133, 121, 130, 144, 128, 136, 150, 122, 131, 145, 111, 121, 135, 116, 124, 138, 125, 133, 147, 128, 139, 153, 125, 142, 155, 149, 163, 175, 170, 182, 192, 182, 194, 203,
   189, 201, 208, 195, 208, 213, 198, 210, 214, 204, 214, 218, 208, 218, 223, 212, 223, 226, 218, 227, 231, 219, 228, 231, 220, 229, 232, 221, 229, 233, 220, 229, 232, 221, 230, 233, 222, 230, 234, 224, 233, 236, 227, 234, 237, 229, 236, 239, 230, 237, 239, 233, 238, 241, 231, 237, 240, 230, 237, 240, 227, 234, 237,
   227, 234, 237, 228, 235, 237, 227, 234, 237, 223, 231, 234, 215, 226, 228, 216, 227, 229, 219, 229, 231, 221, 230, 233, 223, 232, 236, 223, 232, 235, 218, 229, 234, 219, 231, 233, 219, 229, 233, 218, 230, 233, 221, 233, 235, 222, 234, 236, 225, 235, 238, 226, 234, 238, 226, 234, 237, 223, 235, 237, 221, 233, 236,
   223, 234, 237, 224, 234, 237, 226, 234, 238, 227, 235, 239, 224, 234, 238, 223, 232, 236, 219, 229, 233, 217, 228, 232, 214, 225, 229, 211, 222, 226, 207, 219, 225, 199, 212, 219, 199, 213, 219, 170, 186, 196,  74,  91, 108,  23,  37,  50,  24,  34,  44,  15,  25,  34,  21,  34,  43,  31,  47,  60,  29,  44,  61,
    28,  46,  62,  26,  49,  66,  41,  61,  79,  36,  61,  80,  48,  75,  93,  41,  70,  88,  58,  84, 100,  47,  77,  94,  54,  83, 101,  46,  76,  95,  52,  80, 100,  53,  79,  99,  58,  83, 102,  53,  78,  97,  56,  79,  96,  44,  65,  82,  43,  64,  80,  30,  53,  65,  33,  52,  64,  40,  57,  69, 100, 112, 124,
   131, 150, 161, 131, 149, 165, 147, 163, 176, 152, 167, 179, 150, 174, 186, 164, 185, 195, 162, 184, 196, 174, 193, 202, 187, 201, 208, 191, 203, 210, 187, 198, 205, 178, 191, 199, 174, 188, 195, 171, 182, 189, 167, 180, 186, 160, 174, 181, 151, 167, 174, 143, 157, 164, 129, 145, 153, 114, 130, 139,  91, 107, 114,
    72,  87,  88,  64,  78,  80,  71,  84,  86,  76,  86,  93,  76,  83,  92,  76,  83,  91,  71,  78,  87,  59,  66,  76,  60,  66,  77,  63,  68,  79,  61,  69,  80,  60,  68,  81,  60,  69,  83,  60,  71,  85,  68,  76,  94,  71,  81, 100,  72,  84, 105,  78,  91, 115,  79,  93, 117,  84,  98, 124,  93, 106, 132,
   103, 114, 142, 111, 120, 150, 117, 125, 156, 121, 126, 157, 124, 129, 159, 127, 131, 160, 126, 130, 158, 123, 127, 155, 124, 126, 152, 121, 122, 149, 121, 121, 145, 121, 119, 142, 119, 117, 137, 119, 112, 128, 115, 107, 118, 109,  98, 105, 103,  91,  97, 100,  85,  90,  93,  80,  83,  94,  81,  83,  96,  85,  87,
    55,  17,  50,  55,  15,  50,  56,  16,  51,  53,  13,  49,  57,  15,  52,  57,  14,  51,  56,  13,  50,  57,  14,  51,  57,  14,  51,  57,  14,  51,  57,  13,  50,  57,  14,  51,  59,  15,  52,  60,  16,  53,  59,  15,  52,  59,  16,  53,  59,  16,  52,  60,  15,  54,  60,  16,  54,  61,  17,  55,  63,  19,  56,
    61,  17,  55,  63,  16,  55,  63,  17,  56,  64,  17,  56,  65,  17,  57,  65,  17,  57,  65,  18,  57,  66,  17,  57,  67,  20,  59,  66,  19,  57,  66,  18,  57,  70,  20,  60,  71,  21,  62,  71,  21,  61,  71,  21,  63,  72,  22,  63,  73,  23,  64,  72,  22,  63,  72,  21,  64,  74,  22,  64,  74,  22,  65,
    76,  24,  67,  76,  24,  67,  77,  26,  68,  78,  24,  67,  78,  25,  69,  79,  24,  71,  79,  25,  72,  80,  25,  73,  80,  23,  72,  82,  26,  75,  82,  27,  75,  82,  26,  75,  84,  28,  76,  85,  29,  78,  85,  29,  78,  85,  28,  79,  84,  27,  78,  85,  28,  79,  86,  30,  79,  86,  29,  80,  87,  28,  79,
    87,  28,  80,  88,  30,  80,  87,  29,  80,  87,  28,  79,  85,  28,  77,  83,  28,  76,  83,  28,  74,  82,  28,  72,  79,  24,  70,  78,  24,  70,  78,  25,  70,  75,  24,  67,  74,  23,  65,  73,  24,  64,  71,  24,  63,  70,  24,  63,  68,  20,  59,  65,  19,  56,  63,  22,  55,  64,  27,  59,  67,  34,  66,
    71,  48,  76,  89,  71,  96,  99,  85, 109,  90,  78, 102,  69,  59,  85,  65,  58,  84,  73,  67,  92,  68,  66,  91,  69,  70,  93,  69,  71,  94,  68,  70,  94,  69,  72,  96,  62,  67,  90,  57,  63,  84,  53,  60,  80,  61,  71,  91,  71,  84, 103,  77,  92, 109,  80,  96, 110,  94, 111, 123, 133, 148, 154,
   170, 179, 183, 187, 194, 198, 181, 192, 195, 171, 183, 188, 166, 179, 183, 165, 180, 183, 164, 179, 183, 163, 177, 183, 163, 177, 183, 164, 177, 183, 162, 176, 182, 164, 178, 184, 166, 180, 185, 166, 181, 184, 166, 181, 184, 166, 181, 185, 167, 181, 186, 166, 181, 187, 166, 182, 188, 169, 182, 189, 171, 184, 192,
   167, 183, 190, 168, 183, 190, 172, 185, 194, 172, 185, 194, 171, 184, 193, 165, 180, 189, 162, 173, 185, 150, 165, 177, 140, 156, 169, 136, 153, 165, 143, 157, 169, 151, 164, 175, 146, 160, 170, 137, 153, 165, 137, 153, 165, 146, 160, 172, 147, 162, 175, 147, 166, 177, 168, 182, 193, 183, 196, 204, 193, 207, 214,
   199, 211, 217, 203, 215, 219, 204, 216, 220, 208, 220, 224, 212, 223, 227, 218, 227, 231, 221, 230, 233, 222, 231, 234, 222, 231, 234, 225, 233, 235, 225, 233, 236, 228, 235, 238, 226, 236, 239, 228, 236, 239, 232, 239, 242, 232, 240, 240, 233, 240, 244, 236, 242, 244, 235, 242, 244, 234, 241, 244, 234, 241, 243,
   234, 241, 244, 234, 241, 244, 234, 240, 243, 229, 237, 240, 225, 234, 238, 228, 236, 239, 227, 236, 239, 228, 236, 239, 227, 236, 239, 228, 237, 240, 227, 236, 239, 224, 234, 237, 223, 235, 237, 222, 234, 237, 224, 234, 237, 224, 234, 236, 224, 236, 238, 224, 237, 238, 225, 238, 240, 226, 238, 240, 225, 236, 240,
   225, 237, 240, 227, 239, 241, 228, 238, 240, 227, 238, 240, 227, 237, 239, 224, 235, 239, 223, 234, 239, 223, 233, 237, 221, 232, 236, 218, 229, 233, 217, 227, 231, 208, 219, 225, 194, 209, 216,  92, 111, 126,  38,  49,  65,  42,  54,  64,  23,  32,  41,  12,  25,  34,  19,  33,  43,  23,  39,  55,  27,  43,  60,
    28,  45,  62,  33,  53,  70,  34,  57,  75,  48,  70,  89,  44,  71,  91,  46,  74,  93,  51,  79,  98,  52,  82, 100,  72, 100, 118,  64,  93, 113,  60,  91, 112,  50,  83, 105,  63,  92, 113,  60,  89, 110,  55,  82, 103,  58,  84, 105,  50,  78,  97,  45,  65,  81,  43,  60,  75,  39,  55,  70,  34,  50,  66,
    97, 114, 127, 166, 180, 189, 169, 182, 192, 174, 191, 200, 175, 194, 202, 183, 201, 209, 198, 211, 218, 204, 215, 222, 210, 220, 225, 212, 221, 227, 207, 219, 223, 201, 213, 219, 200, 212, 217, 198, 209, 213, 194, 207, 212, 186, 202, 208, 180, 195, 201, 171, 187, 193, 161, 178, 185, 144, 162, 169, 114, 138, 142,
    93, 116, 118,  93, 114, 116,  91, 111, 113,  92, 108, 111,  97, 109, 115,  87, 100, 104,  79,  91,  97,  72,  82,  92,  74,  82,  92,  71,  80,  90,  67,  76,  89,  64,  74,  88,  62,  73,  87,  62,  74,  89,  74,  83, 102,  75,  86, 106,  77,  90, 112,  78,  93, 116,  78,  93, 118,  84,  98, 124,  95, 108, 133,
   106, 117, 145, 111, 120, 150, 115, 123, 153, 123, 128, 159, 124, 129, 159, 125, 128, 159, 126, 130, 158, 122, 126, 154, 120, 123, 151, 121, 121, 147, 121, 121, 146, 121, 121, 144, 120, 117, 138, 117, 110, 129, 114, 106, 119, 112, 102, 112, 105,  93, 101, 100,  87,  92,  96,  82,  85,  94,  81,  83,  99,  87,  89,
    52,  12,  48,  55,  15,  50,  54,  13,  49,  55,  15,  51,  54,  13,  50,  55,  14,  51,  56,  13,  50,  57,  14,  51,  56,  13,  51,  59,  15,  52,  58,  15,  53,  59,  14,  52,  59,  14,  53,  60,  16,  53,  59,  16,  53,  59,  15,  52,  61,  17,  54,  60,  15,  54,  60,  15,  54,  61,  16,  55,  61,  17,  55,
    62,  17,  55,  62,  15,  54,  62,  16,  55,  63,  16,  56,  65,  18,  57,  64,  17,  57,  67,  20,  58,  66,  20,  58,  66,  18,  57,  67,  18,  57,  69,  21,  60,  69,  19,  59,  69,  19,  60,  70,  20,  62,  71,  21,  63,  70,  19,  62,  71,  21,  63,  73,  23,  65,  72,  21,  65,  72,  22,  66,  74,  23,  68,
    74,  22,  67,  76,  24,  68,  79,  25,  69,  79,  26,  69,  78,  24,  70,  80,  25,  72,  81,  26,  72,  81,  25,  74,  81,  25,  75,  80,  24,  74,  82,  26,  75,  82,  27,  76,  83,  27,  76,  84,  28,  77,  84,  27,  78,  85,  28,  79,  85,  28,  79,  86,  30,  80,  86,  29,  80,  86,  28,  80,  86,  29,  80,
    86,  28,  80,  87,  29,  80,  86,  27,  79,  85,  27,  78,  84,  29,  78,  83,  27,  75,  81,  27,  73,  80,  26,  71,  78,  24,  70,  77,  23,  69,  76,  25,  69,  74,  23,  67,  73,  24,  65,  70,  22,  62,  69,  22,  61,  71,  24,  62,  66,  19,  58,  65,  18,  56,  63,  21,  54,  66,  29,  60,  69,  36,  66,
    71,  48,  76,  71,  51,  79,  74,  58,  85,  87,  74,  99, 100,  91, 113,  95,  89, 112,  76,  73,  95,  72,  69,  94,  68,  69,  92,  69,  71,  94,  69,  72,  96,  70,  73,  98,  70,  77,  98,  70,  79,  99,  74,  84, 105,  81,  92, 113,  85,  98, 116,  84,  98, 116,  80,  96, 112,  80,  99, 111,  95, 115, 125,
   135, 151, 158, 172, 180, 184, 188, 195, 197, 184, 193, 196, 172, 184, 187, 165, 180, 183, 164, 178, 183, 164, 178, 184, 161, 175, 181, 163, 177, 183, 164, 178, 184, 167, 181, 187, 167, 181, 186, 166, 180, 186, 167, 181, 187, 166, 181, 185, 168, 183, 187, 166, 181, 187, 166, 182, 187, 167, 182, 188, 166, 181, 188,
   169, 182, 190, 167, 183, 190, 169, 184, 190, 173, 187, 194, 174, 187, 195, 172, 186, 194, 173, 185, 194, 168, 183, 191, 163, 179, 188, 157, 174, 185, 163, 179, 188, 162, 178, 187, 164, 180, 189, 159, 175, 187, 155, 171, 182, 157, 173, 184, 162, 178, 188, 168, 184, 193, 182, 196, 204, 194, 206, 213, 201, 212, 219,
   206, 216, 222, 209, 220, 224, 208, 220, 224, 211, 223, 227, 215, 227, 230, 219, 228, 231, 222, 231, 234, 223, 232, 235, 224, 233, 236, 225, 235, 235, 229, 236, 238, 229, 236, 240, 231, 238, 241, 232, 239, 242, 232, 240, 242, 234, 241, 244, 237, 242, 243, 239, 244, 244, 238, 243, 245, 238, 243, 245, 238, 243, 244,
   238, 243, 245, 238, 245, 245, 236, 243, 245, 230, 238, 241, 234, 242, 242, 234, 241, 244, 233, 240, 243, 233, 240, 243, 232, 240, 243, 231, 239, 242, 232, 240, 243, 229, 238, 241, 228, 237, 240, 225, 238, 240, 225, 237, 239, 225, 238, 240, 225, 237, 239, 227, 238, 240, 227, 239, 241, 226, 238, 240, 228, 239, 241,
   228, 238, 241, 230, 239, 242, 230, 239, 242, 227, 239, 241, 227, 238, 241, 226, 238, 241, 225, 236, 241, 226, 238, 241, 225, 236, 239, 221, 233, 236, 219, 230, 234, 197, 211, 216, 133, 157, 169,  43,  57,  71,  24,  37,  47,  10,  20,  31,  14,  24,  34,  29,  41,  50,  18,  34,  46,  24,  41,  57,  19,  39,  55,
    22,  42,  59,  32,  53,  70,  31,  55,  75,  31,  58,  78,  50,  75,  94,  49,  77,  97,  56,  82, 102,  49,  79,  99,  59,  88, 108,  67,  95, 115,  51,  83, 106,  67,  95, 117,  61,  91, 113,  71, 100, 121,  65,  96, 116,  61,  91, 112,  57,  87, 107,  52,  80,  99,  49,  72,  90,  44,  63,  81,  42,  58,  74,
    47,  61,  77, 127, 140, 151, 182, 195, 201, 183, 199, 205, 193, 210, 216, 206, 219, 224, 220, 229, 234, 213, 223, 230, 222, 229, 234, 221, 229, 234, 219, 230, 232, 218, 228, 230, 219, 227, 230, 218, 226, 229, 212, 222, 225, 208, 219, 222, 203, 215, 218, 198, 209, 213, 189, 201, 206, 172, 188, 193, 153, 171, 175,
   137, 160, 162, 126, 152, 156, 126, 151, 156, 127, 150, 155, 116, 136, 141, 103, 123, 128,  85, 102, 107,  84,  96, 103,  82,  92, 101,  75,  86,  96,  71,  85,  96,  65,  81,  94,  69,  83,  97,  71,  84,  99,  72,  85, 103,  79,  92, 112,  81,  94, 117,  81,  95, 118,  80,  95, 120,  87, 101, 128,  98, 111, 136,
   105, 116, 144, 112, 122, 152, 119, 127, 157, 120, 127, 157, 123, 129, 159, 123, 128, 158, 123, 127, 156, 121, 125, 154, 119, 122, 150, 119, 121, 148, 119, 120, 146, 120, 120, 144, 119, 116, 138, 118, 113, 132, 115, 108, 122, 111, 103, 113, 106,  95, 104, 100,  88,  94,  95,  82,  87,  94,  81,  83,  95,  82,  84,
    54,  13,  49,  53,  12,  49,  54,  13,  50,  54,  13,  50,  55,  14,  51,  54,  13,  50,  56,  14,  51,  55,  12,  50,  56,  12,  52,  59,  14,  53,  58,  14,  53,  57,  12,  51,  58,  13,  52,  58,  14,  52,  58,  14,  51,  59,  15,  52,  59,  15,  53,  60,  15,  54,  61,  17,  55,  60,  15,  54,  62,  18,  55,
    62,  16,  54,  63,  16,  55,  64,  16,  55,  64,  17,  56,  63,  17,  56,  63,  18,  57,  65,  18,  57,  67,  20,  59,  66,  18,  58,  69,  19,  59,  67,  18,  58,  69,  20,  60,  69,  19,  61,  71,  21,  62,  69,  22,  62,  71,  21,  63,  71,  21,  64,  73,  23,  65,  73,  23,  65,  74,  24,  67,  74,  23,  67,
    75,  23,  68,  77,  24,  69,  76,  23,  69,  77,  23,  70,  79,  25,  71,  79,  25,  72,  81,  26,  73,  80,  23,  73,  82,  25,  75,  82,  24,  74,  83,  26,  76,  83,  26,  76,  85,  29,  78,  84,  28,  77,  85,  28,  78,  84,  27,  78,  85,  28,  79,  86,  30,  79,  86,  28,  79,  87,  29,  81,  86,  29,  80,
    86,  28,  80,  86,  28,  80,  87,  28,  80,  84,  27,  77,  84,  28,  76,  82,  28,  75,  82,  28,  73,  81,  27,  72,  79,  25,  70,  77,  24,  69,  76,  24,  68,  72,  22,  66,  73,  24,  66,  70,  23,  63,  67,  20,  59,  68,  21,  60,  66,  19,  58,  64,  18,  56,  65,  23,  56,  65,  25,  57,  69,  34,  64,
    68,  41,  71,  64,  41,  70,  66,  47,  75,  67,  51,  78,  80,  68,  93, 101,  95, 117, 105, 103, 123,  78,  76,  98,  66,  65,  89,  68,  69,  93,  73,  76, 100,  76,  81, 104,  78,  87, 108,  76,  88, 108,  82,  93, 112,  81,  94, 112,  78,  92, 111,  75,  90, 109,  76,  93, 110,  74,  93, 107,  80, 102, 113,
    95, 116, 127, 135, 152, 158, 171, 180, 184, 188, 194, 197, 183, 193, 196, 172, 185, 188, 165, 179, 183, 163, 178, 182, 163, 177, 183, 164, 178, 184, 165, 178, 184, 168, 181, 187, 169, 183, 189, 168, 183, 187, 166, 181, 187, 164, 178, 185, 167, 181, 186, 166, 181, 186, 164, 181, 185, 163, 179, 185, 165, 180, 187,
   167, 181, 188, 166, 182, 188, 167, 183, 189, 172, 187, 193, 174, 188, 194, 173, 189, 195, 173, 190, 197, 172, 188, 195, 173, 189, 196, 171, 187, 194, 171, 187, 194, 172, 188, 196, 173, 188, 197, 169, 186, 195, 168, 185, 194, 168, 186, 195, 176, 193, 201, 182, 197, 205, 191, 204, 212, 201, 212, 218, 206, 217, 222,
   212, 222, 226, 214, 224, 227, 212, 225, 227, 216, 228, 229, 219, 229, 232, 219, 230, 233, 223, 232, 235, 226, 235, 238, 226, 235, 238, 227, 236, 239, 229, 238, 238, 231, 238, 240, 233, 240, 242, 233, 240, 242, 234, 241, 243, 236, 243, 243, 236, 242, 243, 239, 244, 246, 239, 244, 245, 239, 244, 245, 240, 245, 246,
   240, 245, 246, 238, 245, 245, 239, 245, 245, 236, 242, 244, 237, 245, 245, 237, 244, 244, 237, 244, 245, 236, 244, 244, 235, 242, 245, 236, 243, 245, 236, 244, 245, 233, 242, 245, 232, 241, 244, 229, 240, 242, 228, 239, 241, 231, 240, 243, 231, 241, 242, 231, 239, 243, 228, 239, 242, 230, 240, 243, 229, 240, 242,
   231, 240, 243, 232, 241, 244, 232, 241, 244, 231, 240, 243, 229, 239, 242, 229, 240, 243, 227, 237, 241, 229, 239, 241, 225, 236, 239, 222, 234, 238, 208, 223, 228, 149, 173, 184,  60,  72,  88,  47,  57,  69,  11,  24,  35,   6,  18,  27,  36,  48,  59,  33,  48,  60,  13,  31,  43,  28,  46,  61,  28,  46,  63,
    33,  52,  68,  25,  46,  65,  33,  56,  74,  35,  62,  79,  51,  77,  95,  37,  67,  88,  54,  80, 100,  50,  77,  99,  60,  87, 107,  53,  83, 102,  61,  88, 111,  60,  88, 111,  51,  83, 107,  65,  96, 114,  65,  96, 114,  68,  98, 117,  59,  89, 109,  64,  94, 112,  61,  89, 108,  53,  80,  99,  42,  62,  80,
    34,  50,  69,  77,  87, 100, 146, 159, 167, 197, 210, 215, 214, 226, 230, 220, 231, 234, 221, 231, 237, 223, 232, 237, 229, 238, 241, 228, 237, 241, 226, 236, 239, 227, 235, 239, 229, 236, 239, 228, 235, 238, 224, 232, 235, 221, 230, 233, 216, 227, 230, 214, 224, 227, 206, 217, 221, 195, 208, 211, 186, 201, 204,
   176, 193, 195, 178, 192, 197, 176, 189, 195, 168, 182, 188, 149, 168, 172, 126, 145, 149, 112, 130, 135, 102, 121, 125,  93, 110, 116,  80,  98, 103,  75,  93,  99,  73,  91,  98,  76,  91, 104,  75,  91, 104,  81,  95, 111,  84,  98, 115,  81,  97, 117,  81,  98, 119,  87, 102, 127,  92, 108, 132, 100, 113, 139,
   108, 119, 148, 112, 122, 152, 120, 128, 158, 123, 130, 160, 121, 127, 158, 119, 125, 156, 121, 124, 155, 120, 124, 153, 119, 122, 151, 116, 119, 146, 120, 121, 147, 117, 117, 142, 119, 115, 139, 116, 112, 133, 114, 107, 122, 111, 103, 113, 106,  96, 105, 101,  89,  96,  96,  82,  87,  96,  82,  87,  98,  85,  87,
    54,  13,  50,  54,  13,  50,  55,  15,  51,  55,  15,  51,  54,  13,  50,  56,  14,  51,  56,  15,  52,  58,  15,  52,  56,  12,  51,  56,  12,  51,  58,  13,  52,  59,  14,  53,  59,  15,  54,  58,  15,  53,  58,  15,  52,  59,  16,  53,  59,  15,  52,  60,  16,  54,  60,  15,  54,  61,  17,  54,  61,  14,  54,
    61,  16,  54,  63,  17,  55,  62,  16,  54,  62,  15,  54,  63,  17,  56,  64,  17,  57,  65,  18,  57,  65,  18,  57,  66,  18,  57,  67,  17,  58,  68,  19,  58,  66,  19,  59,  68,  20,  61,  68,  19,  62,  71,  23,  63,  70,  20,  62,  73,  23,  65,  71,  20,  64,  74,  24,  66,  73,  21,  65,  75,  23,  66,
    75,  23,  67,  77,  24,  69,  77,  24,  69,  79,  26,  70,  79,  25,  70,  79,  24,  70,  80,  25,  72,  82,  26,  74,  82,  27,  75,  83,  28,  75,  82,  25,  74,  82,  25,  75,  84,  28,  77,  85,  29,  78,  85,  29,  78,  85,  27,  78,  85,  28,  78,  86,  28,  79,  84,  27,  77,  86,  29,  79,  85,  28,  79,
    86,  30,  81,  86,  26,  79,  84,  27,  78,  84,  27,  77,  84,  29,  76,  82,  26,  74,  82,  28,  73,  80,  25,  71,  78,  25,  70,  77,  23,  69,  75,  23,  67,  74,  23,  67,  72,  23,  65,  69,  21,  62,  69,  22,  61,  66,  19,  58,  65,  19,  57,  63,  19,  57,  62,  19,  55,  63,  23,  55,  66,  31,  62,
    67,  38,  68,  68,  43,  72,  68,  45,  73,  68,  50,  77,  67,  52,  79,  66,  55,  80,  72,  67,  90,  99,  96, 118,  93,  91, 114,  73,  74,  97,  70,  73,  97,  75,  82, 105,  75,  86, 107,  77,  88, 108,  76,  89, 108,  68,  82, 101,  66,  80, 100,  63,  80,  98,  68,  85, 104,  73,  91, 107,  76,  96, 110,
    81, 103, 114,  96, 117, 126, 133, 149, 156, 168, 178, 181, 183, 192, 195, 182, 193, 196, 173, 185, 189, 164, 180, 183, 164, 179, 182, 164, 178, 184, 165, 179, 185, 164, 178, 184, 167, 180, 186, 168, 181, 187, 166, 180, 186, 163, 179, 185, 163, 179, 185, 164, 180, 186, 164, 180, 186, 165, 180, 186, 163, 179, 185,
   164, 180, 186, 166, 181, 187, 166, 182, 188, 171, 185, 191, 175, 189, 195, 174, 189, 195, 172, 188, 195, 174, 190, 196, 172, 189, 196, 173, 189, 196, 173, 189, 196, 176, 192, 199, 179, 194, 203, 177, 194, 201, 176, 193, 202, 182, 198, 206, 186, 202, 209, 190, 205, 211, 200, 212, 218, 205, 216, 221, 210, 221, 225,
   214, 224, 227, 216, 226, 229, 219, 228, 231, 221, 230, 233, 221, 230, 233, 222, 233, 235, 224, 234, 237, 227, 236, 239, 229, 237, 238, 229, 237, 239, 231, 238, 240, 232, 240, 241, 233, 241, 241, 234, 241, 242, 236, 243, 243, 236, 243, 243, 237, 244, 244, 238, 244, 245, 239, 244, 245, 240, 245, 246, 239, 244, 245,
   240, 245, 246, 240, 247, 247, 236, 243, 243, 240, 246, 247, 240, 245, 246, 241, 246, 247, 240, 246, 247, 239, 246, 246, 238, 246, 246, 239, 246, 247, 239, 246, 246, 238, 246, 247, 237, 245, 247, 234, 242, 245, 234, 242, 245, 235, 243, 244, 236, 243, 245, 232, 241, 244, 233, 242, 245, 233, 241, 245, 232, 241, 244,
   234, 242, 245, 234, 242, 244, 234, 242, 244, 232, 241, 244, 233, 242, 244, 230, 241, 244, 232, 241, 244, 224, 236, 240, 224, 235, 238, 218, 232, 236, 173, 192, 200,  79, 105, 118,  46,  59,  70,  20,  33,  46,  44,  56,  65,  32,  46,  56,  29,  44,  55,  15,  32,  45,  32,  49,  62,  25,  47,  64,  24,  45,  62,
    33,  54,  70,  38,  58,  75,  37,  60,  77,  41,  63,  80,  48,  73,  90,  40,  67,  87,  44,  70,  91,  46,  71,  92,  46,  71,  93,  60,  84, 105,  51,  78, 100,  58,  84, 106,  53,  80, 102,  61,  93, 111,  60,  93, 110,  61,  93, 111,  61,  94, 112,  75, 105, 124,  63,  96, 115,  64,  96, 115,  49,  78,  97,
    31,  55,  74,  46,  61,  80,  93,  99, 110, 192, 203, 207, 212, 224, 228, 218, 229, 233, 228, 237, 240, 228, 237, 240, 231, 240, 242, 231, 240, 243, 232, 240, 243, 233, 241, 242, 232, 240, 242, 231, 238, 241, 232, 239, 242, 226, 235, 238, 225, 234, 237, 224, 232, 235, 218, 228, 231, 213, 225, 228, 208, 220, 224,
   207, 217, 221, 207, 216, 220, 205, 214, 218, 194, 205, 209, 174, 190, 196, 158, 177, 183, 147, 166, 171, 134, 153, 158, 119, 139, 144, 109, 128, 132,  95, 115, 120,  89, 108, 114,  90, 109, 117,  92, 109, 120,  88, 104, 118,  82, 101, 115,  80, 100, 116,  86, 105, 123,  94, 111, 135, 101, 116, 142, 105, 119, 147,
   112, 124, 152, 118, 129, 157, 118, 127, 156, 120, 128, 158, 121, 128, 158, 121, 126, 157, 119, 123, 155, 119, 122, 152, 117, 120, 149, 117, 120, 149, 118, 121, 146, 118, 119, 144, 119, 117, 142, 116, 113, 134, 117, 110, 126, 112, 103, 113, 109,  99, 108, 101,  89,  96, 101,  86,  92,  98,  84,  88,  96,  83,  86,
    54,  15,  51,  54,  13,  50,  55,  15,  51,  54,  13,  50,  55,  15,  50,  56,  15,  51,  55,  13,  50,  56,  13,  51,  58,  15,  52,  58,  15,  53,  58,  13,  52,  58,  13,  52,  58,  14,  52,  59,  16,  53,  59,  16,  53,  59,  16,  53,  59,  16,  53,  59,  15,  54,  60,  16,  55,  61,  17,  55,  62,  18,  55,
    62,  17,  55,  63,  16,  54,  62,  15,  54,  63,  16,  54,  66,  19,  57,  64,  17,  55,  66,  19,  58,  65,  19,  58,  66,  20,  59,  66,  19,  58,  67,  17,  58,  67,  21,  59,  69,  20,  61,  69,  21,  61,  69,  21,  62,  71,  22,  63,  72,  22,  64,  73,  22,  65,  73,  22,  65,  74,  24,  67,  74,  22,  66,
    74,  21,  66,  76,  23,  68,  78,  26,  70,  78,  24,  69,  78,  25,  70,  80,  25,  71,  80,  26,  72,  80,  25,  72,  82,  27,  74,  81,  25,  74,  83,  28,  75,  85,  29,  77,  82,  25,  75,  84,  28,  77,  84,  27,  78,  85,  27,  78,  85,  28,  78,  86,  30,  79,  86,  30,  79,  86,  30,  79,  87,  31,  79,
    85,  29,  79,  87,  30,  81,  86,  29,  80,  83,  27,  76,  83,  28,  75,  83,  29,  75,  81,  27,  72,  79,  26,  72,  77,  23,  69,  77,  25,  69,  76,  25,  68,  72,  22,  65,  72,  23,  65,  70,  23,  62,  68,  21,  60,  66,  18,  57,  64,  20,  58,  62,  20,  56,  60,  18,  53,  63,  24,  56,  60,  23,  56,
    65,  33,  64,  69,  41,  71,  66,  41,  69,  64,  42,  69,  63,  42,  70,  60,  45,  72,  59,  50,  75,  66,  62,  86,  96,  94, 116, 108, 110, 130,  84,  89, 112,  71,  80, 103,  76,  87, 108,  79,  92, 111,  81,  93, 111,  74,  88, 107,  67,  82, 102,  70,  86, 107,  72,  89, 108,  73,  90, 109,  73,  92, 109,
    77,  96, 111,  81, 104, 115,  96, 118, 126, 132, 150, 156, 166, 178, 181, 184, 193, 196, 181, 192, 195, 170, 183, 186, 162, 178, 181, 162, 177, 183, 162, 176, 182, 161, 176, 182, 163, 176, 183, 164, 179, 185, 163, 178, 184, 162, 178, 184, 162, 178, 184, 163, 179, 185, 164, 180, 186, 166, 182, 188, 164, 180, 186,
   162, 178, 185, 165, 181, 187, 167, 183, 189, 167, 183, 189, 173, 188, 194, 172, 187, 193, 170, 186, 192, 169, 188, 194, 171, 188, 194, 171, 188, 194, 174, 191, 197, 179, 195, 202, 184, 198, 205, 184, 200, 207, 185, 202, 209, 192, 206, 213, 195, 209, 215, 198, 212, 218, 202, 215, 220, 206, 218, 222, 211, 222, 226,
   214, 225, 229, 216, 228, 230, 219, 229, 232, 222, 231, 234, 224, 233, 236, 224, 233, 236, 226, 235, 238, 230, 237, 240, 230, 238, 239, 230, 238, 239, 231, 239, 240, 232, 239, 242, 234, 241, 244, 235, 242, 242, 237, 244, 244, 236, 244, 244, 236, 244, 244, 237, 243, 244, 239, 244, 245, 240, 245, 246, 239, 244, 245,
   241, 247, 247, 242, 247, 247, 237, 243, 244, 242, 247, 248, 242, 247, 248, 242, 247, 248, 241, 246, 247, 241, 247, 248, 242, 247, 248, 242, 247, 248, 242, 247, 248, 240, 246, 248, 240, 246, 247, 239, 245, 248, 238, 245, 247, 237, 244, 247, 237, 244, 246, 237, 245, 245, 235, 242, 246, 237, 245, 246, 236, 243, 246,
   237, 244, 247, 235, 243, 246, 235, 242, 246, 235, 243, 244, 232, 241, 244, 230, 241, 243, 232, 241, 244, 225, 236, 239, 217, 230, 234, 209, 225, 230, 106, 125, 136,  42,  59,  71,  27,  40,  52,  13,  27,  39,  25,  37,  50,  31,  46,  57,  16,  33,  46,  34,  52,  65,  18,  41,  55,  25,  48,  64,  28,  51,  67,
    35,  56,  73,  38,  58,  75,  35,  56,  73,  38,  59,  77,  24,  54,  72,  40,  66,  84,  42,  68,  85,  51,  75,  91,  55,  79,  95,  52,  76,  92,  60,  81, 101,  60,  82, 103,  53,  78,  98,  62,  92, 110,  58,  90, 107,  60,  94, 110,  67,  98, 118,  69, 102, 121,  69, 101, 120,  69, 100, 119,  77, 107, 126,
    54,  79,  98,  37,  59,  81,  52,  69,  87, 120, 132, 142, 209, 222, 227, 216, 228, 231, 216, 229, 233, 232, 240, 243, 232, 240, 243, 235, 242, 244, 235, 242, 243, 234, 242, 243, 235, 242, 244, 233, 240, 243, 233, 240, 243, 231, 239, 242, 230, 239, 242, 229, 238, 241, 226, 236, 238, 223, 234, 237, 224, 233, 236,
   224, 231, 234, 223, 230, 233, 218, 227, 230, 211, 221, 226, 200, 213, 217, 192, 206, 209, 181, 197, 200, 174, 191, 195, 162, 181, 187, 147, 168, 173, 127, 149, 155, 120, 143, 150, 123, 142, 150, 110, 131, 138, 102, 123, 130,  94, 119, 125,  94, 119, 128,  97, 118, 135, 106, 123, 148, 112, 126, 153, 115, 128, 155,
   119, 132, 158, 118, 129, 157, 118, 129, 158, 121, 129, 159, 120, 127, 158, 120, 126, 157, 118, 123, 154, 114, 121, 151, 115, 120, 149, 115, 120, 149, 117, 122, 148, 116, 119, 144, 118, 117, 142, 118, 114, 136, 115, 109, 125, 111, 101, 113, 107,  97, 106, 102,  90,  97, 101,  87,  93,  97,  84,  87,  99,  85,  88,
    51,  10,  47,  54,  14,  50,  55,  14,  50,  53,  12,  50,  55,  14,  49,  56,  15,  50,  57,  14,  50,  57,  14,  51,  57,  14,  51,  58,  15,  52,  57,  14,  51,  56,  12,  49,  57,  14,  51,  59,  16,  53,  58,  15,  52,  58,  15,  52,  59,  18,  54,  57,  14,  53,  59,  15,  53,  59,  13,  53,  62,  17,  54,
    61,  15,  54,  63,  16,  55,  63,  16,  55,  63,  18,  55,  63,  16,  55,  63,  19,  56,  63,  19,  57,  65,  19,  58,  66,  19,  58,  67,  19,  58,  69,  19,  59,  68,  21,  60,  68,  19,  60,  67,  19,  60,  70,  23,  62,  71,  21,  64,  73,  23,  65,  72,  22,  64,  72,  21,  65,  74,  23,  66,  75,  22,  66,
    75,  23,  66,  75,  23,  67,  77,  24,  69,  79,  26,  71,  78,  25,  70,  79,  25,  71,  79,  25,  70,  82,  28,  72,  81,  27,  72,  82,  26,  74,  83,  28,  75,  83,  27,  76,  83,  26,  76,  85,  30,  78,  85,  29,  78,  85,  28,  78,  84,  28,  78,  86,  30,  79,  85,  29,  78,  84,  29,  77,  86,  31,  79,
    85,  29,  78,  84,  26,  77,  84,  26,  78,  84,  28,  77,  84,  29,  76,  81,  26,  72,  80,  27,  72,  80,  27,  72,  76,  22,  69,  77,  26,  69,  76,  26,  68,  73,  23,  65,  72,  24,  63,  69,  21,  60,  67,  21,  59,  67,  21,  58,  64,  21,  57,  64,  22,  57,  62,  21,  56,  60,  21,  55,  60,  21,  56,
    62,  29,  60,  66,  36,  66,  63,  35,  65,  60,  35,  63,  61,  39,  67,  60,  44,  71,  62,  52,  78,  69,  65,  89,  76,  75,  98,  90,  93, 114, 115, 120, 140, 101, 108, 129,  79,  90, 110,  79,  93, 112,  78,  92, 111,  78,  92, 111,  79,  94, 113,  79,  95, 114,  80,  95, 115,  76,  92, 112,  74,  92, 109,
    72,  92, 109,  78,  98, 112,  81, 104, 115,  96, 117, 126, 133, 151, 157, 170, 180, 184, 186, 194, 197, 179, 191, 193, 164, 180, 182, 161, 177, 181, 161, 176, 183, 159, 174, 180, 157, 172, 178, 153, 170, 176, 160, 176, 182, 162, 178, 184, 164, 180, 186, 164, 180, 186, 165, 181, 187, 169, 184, 190, 169, 183, 189,
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   239, 246, 248, 235, 243, 246, 232, 241, 244, 233, 242, 245, 234, 243, 246, 235, 243, 246, 235, 243, 246, 216, 229, 232, 211, 223, 227, 138, 160, 170,  48,  60,  73,  10,  22,  34,  35,  45,  55,  29,  41,  53,  17,  31,  44,  16,  31,  43,  19,  39,  50,  26,  46,  59,  22,  46,  58,  37,  57,  75,  29,  51,  68,
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    62,  17,  56,  61,  16,  55,  61,  17,  54,  61,  16,  54,  63,  18,  56,  63,  19,  56,  63,  19,  57,  65,  18,  57,  66,  19,  58,  67,  19,  59,  68,  20,  59,  68,  21,  60,  67,  19,  60,  69,  21,  60,  70,  22,  62,  71,  21,  63,  71,  21,  63,  72,  22,  64,  73,  23,  65,  72,  22,  65,  75,  24,  67,
    75,  24,  67,  75,  24,  68,  77,  26,  70,  76,  24,  70,  79,  25,  72,  79,  26,  71,  79,  25,  70,  80,  26,  71,  80,  26,  72,  83,  29,  76,  82,  26,  74,  82,  27,  76,  85,  30,  78,  84,  27,  78,  85,  29,  79,  84,  27,  77,  85,  29,  78,  86,  31,  79,  85,  30,  77,  85,  30,  77,  85,  31,  78,
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    59,  25,  57,  62,  30,  61,  62,  32,  60,  60,  35,  63,  59,  36,  64,  65,  48,  75,  69,  58,  84,  77,  71,  96,  84,  83, 106,  83,  86, 109,  85,  89, 111, 105, 113, 132, 113, 123, 141,  80,  94, 112,  77,  91, 110,  78,  93, 112,  77,  92, 112,  79,  94, 114,  83,  98, 117,  81,  96, 115,  77,  93, 112,
    78,  96, 113,  79,  97, 113,  81, 102, 115,  81, 106, 115,  96, 119, 127, 135, 153, 159, 176, 185, 188, 189, 196, 198, 177, 190, 191, 162, 178, 181, 163, 179, 181, 159, 176, 181, 153, 170, 175, 147, 166, 171, 153, 171, 176, 159, 176, 182, 162, 178, 184, 163, 179, 185, 164, 180, 186, 170, 185, 191, 171, 185, 191,
   172, 186, 192, 171, 185, 191, 168, 184, 190, 168, 184, 190, 170, 186, 192, 170, 186, 192, 172, 188, 194, 173, 189, 195, 176, 192, 198, 180, 196, 200, 184, 199, 203, 189, 205, 207, 193, 207, 211, 195, 210, 213, 195, 211, 213, 200, 212, 216, 204, 217, 221, 207, 219, 223, 209, 220, 224, 210, 222, 226, 212, 224, 228,
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   239, 245, 246, 239, 245, 247, 234, 242, 243, 232, 240, 244, 239, 245, 248, 235, 244, 246, 233, 241, 245, 222, 234, 236, 161, 179, 188,  59,  72,  85,  25,  39,  46,   3,  17,  26,  46,  56,  66,  31,  43,  54,  27,  42,  54,  22,  39,  51,  19,  40,  52,  22,  46,  59,  30,  52,  65,  23,  46,  60,  26,  50,  65,
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   234, 242, 242, 234, 242, 242, 232, 240, 241, 230, 237, 239, 229, 237, 240, 227, 234, 237, 224, 231, 234, 221, 230, 233, 217, 226, 229, 213, 221, 227, 205, 215, 218, 198, 209, 212, 187, 199, 202, 175, 190, 195, 161, 180, 185, 155, 175, 180, 153, 171, 179, 156, 171, 182, 146, 159, 177, 138, 152, 172, 124, 140, 163,
   120, 136, 160, 120, 134, 161, 119, 132, 159, 120, 131, 160, 117, 126, 157, 118, 126, 156, 114, 122, 152, 113, 121, 151, 113, 122, 150, 116, 122, 151, 117, 121, 150, 116, 120, 148, 118, 118, 144, 117, 115, 139, 113, 109, 127, 112, 103, 118, 108,  97, 109, 103,  90,  98, 104,  90,  95,  98,  84,  88, 101,  88,  90,
    55,  16,  50,  54,  14,  49,  54,  13,  49,  55,  15,  50,  54,  14,  48,  56,  13,  49,  57,  16,  50,  57,  14,  51,  58,  15,  52,  57,  14,  51,  56,  14,  51,  57,  15,  52,  58,  17,  52,  56,  15,  49,  57,  14,  51,  59,  17,  54,  57,  16,  53,  59,  15,  53,  60,  17,  55,  60,  16,  54,  61,  16,  55,
    62,  17,  56,  62,  17,  56,  61,  16,  55,  63,  18,  56,  63,  19,  56,  64,  20,  58,  64,  20,  57,  65,  18,  57,  66,  19,  58,  66,  19,  59,  67,  18,  59,  67,  19,  60,  67,  21,  60,  68,  21,  61,  69,  22,  61,  70,  20,  62,  72,  22,  64,  73,  22,  64,  72,  21,  63,  73,  23,  65,  74,  24,  67,
    74,  24,  66,  75,  25,  68,  76,  26,  70,  78,  26,  72,  76,  24,  71,  78,  25,  71,  79,  27,  73,  79,  26,  72,  81,  28,  74,  81,  26,  74,  82,  28,  75,  84,  28,  77,  84,  28,  78,  84,  28,  79,  84,  26,  79,  84,  27,  77,  84,  28,  78,  85,  29,  78,  85,  30,  77,  85,  29,  77,  84,  30,  77,
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    57,  19,  54,  58,  25,  57,  59,  27,  57,  57,  30,  58,  56,  32,  60,  66,  49,  76,  73,  62,  88,  79,  75, 100,  78,  77, 101,  74,  75,  99,  65,  70,  94,  63,  72,  94,  90, 100, 119, 115, 126, 146,  84,  99, 119,  75,  92, 112,  75,  92, 112,  76,  91, 111,  78,  93, 112,  82,  97, 116,  82,  96, 115,
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   173, 187, 193, 175, 189, 195, 174, 189, 195, 171, 187, 193, 172, 188, 194, 174, 189, 194, 177, 192, 195, 181, 195, 199, 183, 198, 202, 189, 204, 206, 190, 205, 209, 192, 206, 209, 195, 208, 212, 196, 210, 214, 198, 213, 216, 203, 215, 219, 205, 217, 221, 208, 219, 224, 210, 223, 226, 213, 224, 228, 214, 225, 229,
   214, 225, 229, 216, 227, 231, 219, 230, 233, 220, 232, 235, 221, 231, 234, 227, 236, 239, 232, 239, 240, 231, 239, 240, 232, 239, 240, 232, 240, 240, 233, 241, 241, 234, 242, 243, 236, 244, 244, 237, 245, 245, 236, 244, 244, 237, 244, 245, 240, 245, 246, 240, 245, 246, 240, 245, 246, 240, 245, 246, 242, 247, 248,
   245, 249, 250, 237, 244, 245, 243, 248, 249, 243, 248, 249, 242, 247, 248, 242, 247, 248, 243, 248, 249, 241, 246, 247, 243, 248, 249, 243, 248, 249, 242, 247, 248, 238, 247, 247, 243, 247, 249, 238, 246, 246, 240, 246, 247, 242, 247, 248, 239, 245, 246, 233, 240, 243, 230, 238, 241, 230, 239, 240, 238, 245, 245,
   240, 245, 247, 236, 244, 246, 236, 243, 245, 226, 238, 240, 238, 245, 248, 236, 243, 245, 233, 241, 240, 205, 219, 224,  89, 111, 122,  23,  38,  48,  17,  30,  36,  23,  35,  42,  35,  47,  57,  56,  68,  80,  21,  40,  53,  16,  39,  51,  27,  49,  62,  16,  40,  53,  35,  57,  69,  23,  47,  60,  31,  52,  68,
    29,  50,  67,  31,  53,  71,  28,  51,  70,  37,  58,  75,  39,  62,  79,  46,  66,  83,  44,  64,  81,  39,  60,  77,  41,  63,  80,  42,  67,  84,  41,  66,  84,  45,  69,  87,  43,  67,  85,  56,  77,  94,  62,  83, 100,  59,  80,  99,  54,  79, 100,  58,  83, 105,  58,  84, 105,  60,  92, 112,  62,  95, 115,
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   235, 243, 243, 234, 242, 242, 234, 242, 242, 234, 241, 242, 233, 241, 242, 231, 239, 241, 231, 238, 240, 229, 236, 239, 226, 234, 236, 225, 232, 235, 221, 229, 230, 217, 224, 225, 209, 218, 221, 200, 211, 214, 192, 205, 209, 187, 201, 206, 182, 196, 202, 175, 187, 197, 158, 174, 186, 142, 160, 175, 130, 151, 168,
   124, 143, 165, 120, 138, 164, 117, 134, 161, 120, 133, 161, 115, 126, 155, 112, 122, 154, 113, 123, 153, 113, 123, 153, 115, 122, 152, 115, 123, 151, 116, 122, 151, 116, 118, 148, 116, 118, 144, 113, 111, 136, 112, 108, 127, 109, 101, 116, 108,  97, 110, 106,  93, 102, 105,  91,  96, 101,  87,  91, 103,  90,  94,
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    63,  19,  57,  62,  17,  56,  61,  16,  55,  61,  17,  55,  64,  19,  57,  64,  18,  57,  62,  17,  58,  65,  18,  57,  66,  19,  58,  67,  19,  59,  68,  20,  61,  67,  20,  60,  69,  21,  61,  67,  19,  61,  70,  23,  62,  70,  23,  63,  71,  20,  62,  72,  22,  63,  72,  24,  64,  72,  22,  64,  72,  24,  65,
    73,  26,  67,  73,  24,  66,  75,  24,  67,  77,  26,  69,  77,  25,  71,  76,  24,  71,  78,  26,  72,  78,  24,  71,  80,  26,  73,  82,  28,  76,  83,  27,  76,  83,  27,  76,  82,  26,  77,  83,  26,  77,  84,  27,  78,  84,  27,  78,  83,  27,  76,  84,  28,  77,  85,  29,  77,  84,  28,  77,  85,  30,  79,
    85,  28,  78,  83,  27,  78,  84,  26,  77,  83,  27,  76,  81,  25,  73,  81,  26,  73,  79,  24,  71,  78,  25,  70,  78,  24,  70,  76,  25,  68,  74,  24,  68,  70,  21,  65,  69,  23,  62,  67,  22,  60,  65,  20,  59,  65,  21,  60,  65,  21,  59,  61,  18,  55,  61,  18,  54,  60,  17,  53,  57,  14,  51,
    54,  14,  50,  54,  21,  53,  57,  26,  56,  54,  27,  54,  55,  32,  59,  66,  48,  75,  72,  59,  85,  72,  66,  92,  69,  67,  92,  59,  61,  86,  57,  62,  86,  66,  75,  97,  74,  86, 106,  91, 104, 125, 123, 136, 155,  98, 114, 133,  75,  92, 111,  70,  87, 107,  71,  86, 105,  70,  84, 103,  71,  85, 104,
    78,  91, 109,  76,  91, 109,  77,  94, 111,  79,  97, 113,  84, 104, 118,  88, 111, 123,  98, 125, 133, 139, 161, 167, 177, 187, 190, 181, 192, 194, 169, 182, 185, 163, 178, 181, 160, 175, 178, 154, 170, 174, 153, 169, 175, 153, 169, 176, 153, 170, 177, 157, 174, 181, 159, 177, 183, 159, 177, 183, 162, 180, 186,
   170, 185, 191, 174, 188, 194, 176, 190, 196, 175, 190, 196, 179, 193, 198, 181, 196, 199, 185, 200, 203, 185, 200, 203, 186, 201, 204, 190, 205, 208, 194, 207, 211, 192, 207, 210, 191, 207, 210, 194, 210, 213, 202, 214, 218, 206, 218, 222, 207, 219, 222, 208, 221, 224, 212, 223, 227, 215, 227, 230, 215, 226, 230,
   215, 227, 230, 217, 228, 231, 219, 231, 233, 218, 230, 234, 223, 235, 237, 227, 236, 239, 231, 239, 241, 231, 240, 240, 230, 239, 241, 234, 242, 242, 234, 242, 242, 235, 243, 243, 239, 245, 245, 239, 244, 245, 239, 243, 244, 239, 244, 244, 239, 244, 245, 240, 245, 246, 240, 245, 246, 241, 246, 247, 241, 246, 247,
   238, 243, 244, 241, 247, 248, 243, 248, 248, 243, 248, 249, 243, 248, 249, 241, 247, 248, 243, 248, 249, 242, 247, 248, 244, 249, 250, 243, 248, 249, 240, 247, 247, 238, 245, 246, 241, 246, 247, 239, 246, 246, 238, 245, 245, 243, 248, 249, 236, 243, 246, 230, 239, 242, 217, 230, 233, 224, 234, 237, 233, 241, 242,
   240, 246, 246, 234, 242, 244, 231, 239, 242, 220, 232, 234, 231, 238, 241, 237, 243, 245, 225, 234, 237, 159, 178, 185,  37,  49,  58,  23,  37,  47,  23,  35,  41,  36,  48,  56,  42,  56,  68,  67,  78,  91,  24,  44,  61,  21,  41,  59,  26,  47,  63,  36,  56,  72,  36,  57,  72,  22,  45,  60,  46,  64,  80,
    28,  49,  66,  25,  46,  64,  20,  44,  61,  37,  59,  76,  26,  51,  68,  44,  65,  81,  32,  54,  71,  37,  58,  76,  47,  67,  85,  41,  65,  82,  47,  68,  85,  48,  70,  88,  52,  73,  90,  58,  78,  97,  57,  79,  96,  61,  81, 100,  57,  81, 103,  60,  84, 106,  64,  89, 110,  59,  87, 109,  59,  92, 112,
    63,  97, 116,  73, 105, 125,  77, 108, 128,  67,  95, 114,  38,  60,  79,  65,  81,  94, 164, 180, 188, 209, 223, 227, 208, 223, 227, 212, 225, 229, 226, 236, 239, 231, 239, 242, 230, 239, 242, 233, 242, 243, 234, 242, 243, 235, 243, 243, 236, 244, 244, 237, 244, 244, 236, 244, 244, 235, 243, 243, 235, 243, 244,
   235, 243, 243, 235, 244, 244, 235, 243, 243, 235, 243, 243, 235, 243, 243, 234, 241, 242, 234, 241, 244, 232, 239, 241, 233, 241, 240, 231, 238, 241, 228, 235, 235, 226, 234, 234, 221, 229, 232, 217, 225, 229, 212, 222, 225, 209, 218, 222, 202, 213, 217, 191, 203, 209, 173, 189, 197, 157, 175, 185, 149, 166, 180,
   137, 154, 173, 130, 149, 170, 124, 141, 165, 119, 133, 159, 114, 124, 154, 115, 126, 156, 115, 125, 156, 113, 123, 153, 116, 125, 154, 116, 123, 152, 116, 122, 151, 117, 120, 149, 113, 115, 141, 112, 111, 135, 111, 108, 128, 110, 103, 119, 109,  99, 112, 108,  95, 105, 107,  93, 101, 103,  87,  95, 107,  92,  98,
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    60,  17,  55,  60,  15,  54,  63,  19,  57,  62,  16,  55,  62,  16,  57,  65,  20,  59,  63,  17,  56,  64,  18,  58,  65,  20,  59,  65,  19,  58,  66,  19,  58,  67,  20,  59,  67,  20,  59,  67,  19,  59,  67,  22,  61,  68,  21,  60,  67,  20,  58,  70,  23,  62,  70,  23,  62,  70,  23,  62,  71,  23,  64,
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   235, 243, 243, 236, 243, 245, 236, 244, 244, 235, 243, 243, 235, 243, 244, 234, 242, 243, 235, 242, 245, 234, 242, 243, 234, 241, 242, 233, 241, 241, 232, 240, 240, 231, 239, 239, 229, 236, 236, 227, 234, 237, 226, 233, 236, 223, 230, 233, 214, 223, 227, 205, 216, 219, 190, 205, 211, 181, 194, 201, 170, 182, 193,
   158, 172, 187, 146, 162, 179, 130, 148, 168, 118, 135, 160, 114, 131, 157, 115, 126, 156, 116, 126, 156, 117, 128, 157, 114, 124, 154, 120, 127, 155, 118, 124, 151, 115, 118, 146, 110, 112, 138, 110, 111, 134, 112, 109, 130, 110, 105, 123, 108,  99, 114, 111,  99, 110, 108,  94, 103, 110,  95, 102, 106,  90,  97,
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    67,  81, 100,  70,  85, 104,  76,  91, 111,  79,  95, 112,  76,  94, 111,  73,  94, 111,  74,  95, 111,  84, 106, 118, 108, 131, 140, 152, 167, 173, 178, 188, 191, 180, 190, 194, 168, 179, 183, 159, 173, 178, 150, 165, 171, 149, 165, 172, 142, 160, 168, 147, 165, 172, 150, 167, 174, 153, 171, 178, 157, 175, 182,
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   216, 228, 230, 220, 231, 233, 224, 233, 236, 223, 233, 236, 226, 235, 238, 229, 238, 240, 233, 241, 241, 232, 241, 240, 233, 241, 241, 236, 244, 244, 237, 244, 244, 239, 244, 245, 240, 245, 246, 240, 245, 246, 239, 244, 245, 240, 245, 246, 241, 246, 247, 242, 247, 248, 243, 248, 249, 242, 247, 248, 242, 248, 249,
   232, 241, 241, 241, 246, 247, 241, 246, 247, 242, 247, 248, 243, 248, 249, 239, 245, 245, 244, 249, 250, 241, 246, 247, 241, 247, 248, 236, 243, 244, 239, 246, 247, 237, 244, 245, 235, 243, 243, 233, 241, 242, 233, 240, 243, 238, 244, 244, 238, 244, 247, 213, 226, 229, 209, 223, 227, 187, 209, 215, 215, 227, 230,
   227, 236, 239, 230, 238, 241, 217, 229, 232, 199, 216, 221, 216, 226, 229, 222, 233, 235, 137, 162, 169,  37,  61,  69,  26,  37,  47,  44,  53,  62,  17,  30,  43,  43,  54,  69,  43,  57,  74,  26,  43,  61,  35,  52,  70,  32,  50,  69,  34,  52,  70,  26,  44,  60,   7,  31,  46,  23,  45,  60,  28,  47,  64,
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   182, 192, 202, 161, 175, 190, 142, 159, 176, 124, 144, 164, 117, 137, 159, 124, 136, 162, 126, 136, 163, 123, 133, 161, 124, 133, 159, 120, 129, 154, 116, 123, 149, 111, 115, 143, 112, 115, 140, 111, 111, 134, 114, 112, 133, 113, 109, 128, 114, 106, 123, 111, 100, 113, 113,  98, 110, 110,  94, 103, 111,  95, 102,
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    83,  29,  77,  83,  28,  76,  83,  27,  75,  82,  27,  75,  79,  25,  73,  79,  26,  73,  78,  24,  71,  77,  23,  69,  77,  23,  69,  73,  20,  67,  72,  20,  66,  69,  21,  64,  66,  20,  62,  66,  21,  60,  65,  21,  58,  63,  18,  56,  62,  19,  56,  62,  19,  56,  60,  17,  54,  59,  16,  53,  57,  15,  51,
    56,  18,  52,  53,  19,  53,  56,  24,  55,  56,  26,  55,  53,  25,  52,  50,  24,  50,  50,  31,  56,  60,  53,  76,  75,  74,  99,  89,  94, 117,  90,  99, 123,  86,  98, 120,  80,  94, 116,  77,  92, 114,  76,  90, 113,  75,  90, 112,  80,  94, 115, 123, 137, 154, 108, 123, 139,  78,  94, 112,  78,  94, 111,
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   158, 177, 183, 162, 181, 186, 170, 187, 193, 177, 194, 198, 181, 198, 202, 180, 196, 202, 181, 198, 204, 182, 200, 206, 189, 205, 211, 190, 206, 212, 191, 207, 213, 193, 209, 214, 194, 211, 213, 198, 213, 216, 199, 215, 218, 206, 218, 222, 209, 222, 225, 211, 223, 226, 214, 227, 229, 215, 227, 229, 214, 226, 229,
   218, 230, 232, 222, 232, 235, 224, 233, 235, 225, 234, 236, 226, 235, 238, 232, 239, 242, 234, 241, 242, 233, 241, 242, 236, 243, 244, 236, 244, 244, 238, 244, 245, 238, 243, 244, 239, 244, 245, 240, 245, 246, 239, 245, 246, 240, 245, 246, 241, 246, 247, 241, 246, 247, 242, 247, 248, 242, 247, 248, 234, 240, 242,
   238, 246, 246, 239, 245, 246, 240, 246, 247, 241, 247, 248, 241, 246, 247, 237, 244, 244, 241, 246, 247, 241, 246, 247, 236, 244, 244, 228, 239, 239, 233, 242, 243, 238, 244, 246, 229, 237, 240, 227, 236, 238, 222, 233, 235, 230, 239, 240, 235, 241, 243, 205, 220, 226, 197, 213, 219, 176, 200, 207, 205, 218, 222,
   217, 228, 230, 225, 233, 235, 210, 223, 226, 195, 212, 216, 182, 203, 208, 181, 201, 206,  71,  99, 107,  38,  56,  63,  31,  41,  48,  30,  44,  52,  23,  37,  50,  50,  63,  77,  18,  36,  52,  17,  36,  52,  24,  42,  59,  28,  46,  65,  26,  45,  63,  38,  55,  70,  29,  48,  64,  28,  47,  61,  47,  63,  77,
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    64,  94, 119,  67,  98, 123,  63,  98, 121,  74, 109, 130,  70, 106, 127,  75, 106, 126,  33,  61,  84, 100, 117, 129, 147, 161, 171, 156, 178, 186, 174, 195, 203, 198, 216, 222, 208, 224, 228, 213, 228, 232, 222, 234, 237, 227, 238, 239, 230, 240, 242, 234, 242, 242, 234, 243, 243, 235, 243, 243, 235, 243, 243,
   236, 244, 244, 236, 244, 244, 235, 243, 243, 236, 243, 244, 235, 243, 243, 235, 243, 243, 236, 244, 244, 236, 244, 244, 236, 244, 244, 235, 243, 243, 235, 243, 242, 235, 243, 243, 237, 241, 243, 234, 242, 242, 234, 240, 241, 232, 239, 239, 230, 237, 237, 227, 234, 236, 222, 230, 234, 216, 224, 228, 208, 216, 222,
   196, 206, 214, 176, 191, 201, 158, 177, 189, 143, 164, 180, 138, 156, 174, 137, 152, 173, 134, 146, 171, 132, 143, 167, 130, 140, 163, 123, 132, 156, 115, 122, 148, 117, 123, 147, 115, 119, 143, 118, 118, 140, 117, 115, 136, 116, 112, 131, 116, 108, 125, 115, 105, 119, 114, 101, 112, 112,  97, 106, 113,  99, 106,
    52,  11,  49,  54,  13,  50,  52,  11,  48,  54,  14,  50,  55,  15,  52,  55,  14,  51,  56,  13,  50,  58,  17,  51,  55,  13,  49,  57,  16,  51,  58,  16,  52,  56,  13,  51,  58,  16,  52,  58,  15,  52,  60,  17,  54,  58,  15,  53,  58,  16,  53,  58,  15,  53,  58,  16,  53,  59,  16,  53,  59,  16,  52,
    58,  14,  51,  65,  22,  59,  64,  19,  58,  66,  22,  60,  68,  24,  62,  66,  23,  60,  68,  25,  63,  67,  24,  62,  68,  25,  63,  68,  25,  63,  70,  27,  65,  72,  28,  66,  73,  29,  68,  74,  31,  69,  74,  30,  68,  76,  33,  71,  77,  34,  70,  78,  35,  71,  78,  35,  71,  78,  35,  72,  81,  37,  74,
    83,  39,  77,  85,  41,  79,  87,  43,  82,  87,  44,  82,  89,  46,  82,  89,  46,  83,  91,  48,  85,  94,  51,  88,  94,  51,  89,  92,  49,  88,  94,  48,  88,  92,  46,  86,  88,  43,  84,  84,  37,  81,  82,  30,  77,  79,  28,  74,  79,  26,  73,  80,  25,  73,  82,  27,  74,  84,  29,  76,  81,  25,  74,
    83,  30,  76,  82,  27,  75,  81,  25,  74,  81,  27,  74,  79,  25,  72,  80,  27,  74,  78,  25,  70,  76,  24,  68,  75,  23,  68,  72,  20,  66,  71,  22,  65,  68,  22,  64,  67,  19,  62,  66,  21,  60,  65,  21,  58,  63,  19,  56,  61,  18,  55,  60,  17,  54,  59,  16,  53,  60,  17,  54,  56,  15,  52,
    55,  17,  51,  52,  17,  51,  56,  25,  55,  57,  27,  56,  54,  26,  53,  52,  27,  53,  56,  40,  64,  68,  64,  86,  79,  77, 102,  85,  90, 114,  83,  90, 114,  79,  87, 109,  78,  85, 108,  75,  83, 105,  73,  83, 105,  74,  83, 105,  80,  93, 115,  89, 102, 124, 126, 140, 157, 111, 126, 142,  85, 102, 119,
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   153, 172, 179, 161, 180, 185, 165, 184, 189, 172, 191, 196, 181, 197, 203, 182, 198, 204, 182, 199, 205, 183, 202, 207, 189, 204, 210, 191, 207, 213, 195, 210, 215, 198, 213, 216, 199, 213, 216, 200, 216, 219, 203, 216, 220, 206, 219, 223, 209, 221, 226, 210, 223, 225, 216, 228, 230, 216, 227, 231, 215, 228, 230,
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   236, 244, 244, 235, 243, 243, 235, 243, 243, 236, 244, 243, 236, 244, 244, 236, 243, 244, 237, 245, 245, 236, 244, 244, 239, 243, 244, 237, 242, 243, 235, 243, 243, 236, 241, 242, 234, 242, 242, 236, 241, 242, 235, 242, 242, 234, 240, 240, 231, 240, 240, 231, 239, 239, 230, 236, 237, 224, 233, 235, 217, 226, 229,
   207, 218, 221, 195, 208, 211, 182, 198, 204, 175, 192, 201, 166, 184, 197, 161, 177, 192, 154, 167, 186, 147, 157, 177, 133, 145, 165, 125, 135, 157, 122, 130, 152, 122, 129, 152, 121, 126, 149, 122, 124, 145, 122, 121, 141, 118, 114, 135, 119, 112, 129, 117, 107, 121, 117, 106, 118, 113,  98, 108, 115, 101, 108,
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    60,  16,  53,  60,  15,  54,  62,  17,  55,  61,  17,  55,  60,  16,  54,  61,  16,  55,  60,  16,  55,  62,  19,  57,  63,  18,  57,  64,  20,  59,  64,  19,  59,  64,  18,  59,  63,  17,  58,  65,  17,  59,  65,  18,  60,  67,  20,  60,  66,  20,  59,  68,  22,  61,  68,  21,  61,  69,  22,  61,  69,  22,  61,
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   231, 240, 241, 234, 242, 242, 235, 243, 243, 236, 244, 243, 236, 244, 244, 236, 243, 244, 237, 244, 244, 236, 243, 243, 236, 244, 244, 235, 243, 242, 237, 242, 243, 238, 244, 244, 238, 243, 243, 236, 243, 244, 234, 243, 243, 235, 242, 242, 235, 241, 242, 235, 241, 242, 233, 240, 241, 232, 238, 239, 230, 238, 238,
   227, 234, 235, 225, 232, 234, 221, 229, 232, 219, 227, 230, 213, 221, 225, 202, 212, 216, 191, 203, 209, 174, 190, 198, 160, 178, 189, 152, 168, 182, 146, 159, 174, 144, 152, 168, 139, 147, 164, 135, 142, 160, 133, 138, 157, 129, 128, 148, 128, 124, 143, 127, 118, 135, 121, 111, 125, 119, 106, 117, 118, 105, 111,
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    54,  14,  49,  54,  20,  52,  58,  27,  58,  62,  38,  65,  70,  53,  78,  78,  69,  92,  78,  76,  98,  77,  77,  98,  77,  77,  99,  79,  77,  99,  78,  76,  98,  66,  63,  87,  66,  63,  88,  74,  73,  97,  84,  88, 111,  86,  92, 117,  87,  95, 120,  84,  94, 118,  75,  87, 111,  75,  89, 109,  83,  98, 117,
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   128, 150, 157, 139, 161, 168, 158, 178, 184, 166, 185, 191, 169, 188, 193, 177, 194, 200, 184, 200, 206, 188, 204, 210, 194, 210, 216, 198, 212, 218, 197, 212, 217, 201, 215, 219, 202, 216, 219, 207, 219, 222, 209, 221, 223, 211, 223, 225, 212, 225, 227, 215, 227, 229, 221, 230, 232, 223, 232, 235, 226, 234, 236,
   226, 235, 236, 230, 238, 238, 230, 238, 238, 232, 240, 240, 234, 242, 242, 235, 243, 242, 232, 240, 244, 234, 243, 242, 236, 244, 244, 235, 243, 243, 234, 242, 242, 233, 242, 241, 234, 243, 242, 236, 244, 244, 237, 244, 245, 237, 245, 245, 238, 245, 245, 240, 246, 247, 238, 246, 246, 229, 237, 239, 237, 244, 244,
   234, 241, 242, 230, 238, 240, 226, 235, 238, 230, 238, 240, 221, 232, 235, 223, 233, 236, 213, 226, 229, 215, 226, 230, 213, 224, 228, 200, 215, 221, 195, 213, 219, 196, 213, 219, 195, 212, 219, 184, 205, 212, 181, 201, 208, 175, 198, 205, 176, 198, 206, 177, 199, 206, 159, 185, 195, 138, 166, 178, 115, 148, 163,
   117, 149, 162, 142, 166, 175, 137, 162, 173, 116, 145, 156,  36,  61,  72,  27,  38,  48,  16,  28,  37,  44,  53,  62,  25,  36,  46,  30,  46,  58,  35,  53,  66,  50,  68,  83,  32,  53,  69,  42,  59,  75,  46,  65,  78,  36,  58,  71,  23,  47,  60,  28,  52,  66,  39,  61,  75,  18,  43,  60,  25,  49,  65,
    49,  67,  83,  34,  56,  72,  31,  55,  70,  44,  66,  81,  39,  62,  79,  25,  52,  69,  44,  67,  85,  34,  60,  78,  43,  66,  84,  35,  61,  82,  38,  62,  86,  42,  66,  90,  43,  67,  91,  47,  72,  95,  46,  72,  95,  49,  75,  97,  48,  77, 100,  59,  86, 109,  48,  79, 103,  55,  84, 110,  45,  78, 105,
    49,  81, 113,  69,  98, 127,  66,  99, 128,  61, 101, 127,  65, 105, 130,  57,  99, 124,  64, 103, 128,  70, 106, 130,  59,  81, 105,  84, 102, 120, 131, 147, 153, 146, 162, 168, 140, 165, 175, 153, 176, 188, 178, 196, 205, 194, 208, 215, 200, 215, 222, 205, 219, 224, 211, 224, 228, 218, 231, 233, 224, 234, 237,
   228, 237, 240, 230, 240, 240, 234, 242, 242, 235, 243, 243, 238, 244, 244, 238, 243, 244, 236, 244, 244, 237, 245, 245, 236, 244, 244, 235, 243, 242, 237, 243, 243, 237, 243, 243, 237, 243, 244, 236, 243, 244, 235, 242, 243, 236, 241, 242, 235, 242, 241, 236, 242, 242, 236, 241, 242, 235, 240, 241, 234, 240, 240,
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   224, 232, 233, 224, 234, 234, 228, 237, 237, 230, 238, 238, 233, 240, 240, 234, 242, 242, 236, 245, 244, 238, 243, 244, 239, 245, 245, 239, 245, 244, 239, 244, 245, 239, 243, 245, 238, 244, 243, 238, 243, 244, 238, 244, 243, 237, 244, 243, 238, 243, 244, 238, 243, 244, 236, 243, 243, 236, 243, 243, 238, 243, 244,
   237, 242, 243, 236, 241, 242, 236, 241, 242, 235, 240, 241, 235, 240, 241, 233, 238, 239, 232, 237, 238, 227, 236, 235, 224, 231, 234, 220, 227, 231, 214, 220, 224, 200, 209, 214, 184, 195, 200, 166, 178, 187, 157, 167, 176, 145, 153, 164, 139, 142, 153, 132, 128, 140, 131, 121, 132, 130, 117, 127, 127, 113, 124,
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    55,  16,  49,  53,  18,  48,  52,  21,  51,  59,  34,  63,  69,  51,  79,  73,  61,  87,  76,  65,  92,  77,  70,  97,  80,  75, 101,  83,  83, 107,  84,  89, 110,  85,  92, 112,  88,  95, 114,  86,  96, 115,  84,  95, 115,  82,  95, 114,  81,  95, 114,  86, 100, 119,  90, 104, 123,  88, 103, 122,  82,  99, 118,
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   217, 229, 231, 223, 232, 235, 222, 232, 234, 223, 234, 236, 219, 231, 233, 220, 230, 234, 223, 234, 236, 223, 234, 237, 226, 236, 238, 226, 235, 238, 225, 235, 238, 226, 236, 238, 229, 238, 241, 225, 236, 238, 224, 235, 237, 217, 229, 232, 220, 231, 234, 222, 233, 235, 203, 219, 223, 214, 226, 230, 213, 225, 229,
   209, 223, 226, 207, 221, 225, 195, 212, 217, 188, 207, 212, 187, 205, 211, 177, 198, 204, 189, 205, 212, 175, 196, 204, 169, 192, 200, 151, 180, 191, 140, 166, 180, 129, 156, 172, 135, 160, 175, 136, 161, 174, 105, 136, 151, 114, 141, 155, 114, 140, 154, 105, 132, 145, 106, 133, 144,  94, 122, 132,  90, 113, 126,
    93, 112, 122,  64,  76,  87,  25,  38,  47,  26,  37,  45,  11,  23,  29,  26,  35,  43,  24,  35,  44,  25,  36,  44,  57,  68,  77,  39,  54,  66,  32,  49,  60,  24,  43,  50,  25,  44,  53,  21,  43,  51,  37,  56,  68,  46,  64,  76,  29,  52,  65,  48,  68,  81,  28,  53,  68,  45,  65,  80,  30,  54,  70,
    42,  62,  79,  34,  59,  76,  49,  71,  89,  54,  75,  94,  31,  58,  77,  39,  65,  82,  46,  71,  89,  37,  65,  83,  43,  67,  86,  48,  70,  90,  48,  68,  90,  48,  67,  93,  47,  65,  91,  46,  67,  91,  50,  70,  92,  50,  71,  94,  49,  72,  94,  47,  69,  95,  47,  69,  97,  50,  74, 104,  48,  73, 105,
    53,  80, 112,  52,  84, 115,  55,  90, 120,  47,  87, 117,  57,  98, 129,  67, 105, 137,  61, 103, 134,  69, 109, 141,  74, 115, 144,  82, 122, 147,  70, 104, 123,  70,  94, 111,  90, 108, 117, 122, 137, 145, 130, 150, 159, 136, 158, 167, 162, 181, 189, 180, 197, 204, 187, 205, 210, 196, 212, 214, 204, 218, 220,
   212, 225, 227, 216, 228, 230, 219, 231, 232, 224, 235, 235, 228, 236, 236, 232, 240, 240, 235, 243, 242, 239, 244, 243, 239, 244, 244, 239, 245, 244, 239, 244, 245, 239, 244, 245, 239, 244, 244, 238, 245, 244, 238, 245, 244, 240, 246, 245, 238, 244, 244, 238, 243, 244, 236, 243, 244, 239, 244, 245, 237, 242, 243,
   237, 242, 243, 236, 242, 241, 236, 241, 242, 235, 241, 241, 234, 240, 239, 234, 239, 240, 233, 237, 238, 230, 237, 237, 230, 235, 236, 226, 233, 235, 219, 226, 229, 208, 218, 222, 195, 205, 210, 183, 194, 200, 170, 180, 188, 158, 167, 175, 155, 160, 168, 150, 150, 159, 145, 141, 152, 143, 133, 142, 140, 128, 138,
    56,  14,  51,  53,  12,  50,  55,  14,  51,  54,  14,  49,  54,  13,  50,  55,  13,  51,  56,  15,  52,  57,  15,  52,  57,  15,  51,  57,  15,  51,  58,  15,  52,  57,  14,  51,  58,  15,  52,  58,  14,  51,  58,  14,  51,  59,  15,  52,  61,  18,  55,  59,  14,  53,  61,  15,  54,  62,  15,  54,  64,  17,  56,
    63,  17,  56,  63,  18,  57,  63,  18,  57,  64,  19,  58,  64,  19,  58,  66,  20,  58,  65,  18,  58,  67,  20,  58,  67,  20,  58,  67,  19,  58,  67,  20,  59,  69,  21,  61,  67,  20,  60,  68,  21,  62,  69,  22,  62,  69,  21,  62,  69,  21,  62,  69,  22,  61,  70,  23,  63,  71,  21,  63,  72,  24,  66,
    73,  23,  65,  72,  22,  65,  74,  24,  66,  73,  23,  65,  74,  24,  66,  75,  24,  68,  76,  27,  68,  76,  24,  68,  77,  24,  68,  77,  24,  68,  78,  25,  69,  77,  24,  68,  79,  26,  70,  78,  25,  70,  79,  26,  71,  78,  24,  71,  79,  25,  71,  80,  25,  70,  79,  25,  70,  79,  26,  71,  79,  27,  70,
    80,  27,  70,  78,  24,  69,  78,  24,  69,  78,  25,  69,  78,  26,  69,  76,  23,  67,  75,  25,  67,  73,  22,  63,  72,  22,  63,  68,  19,  61,  67,  22,  61,  66,  20,  58,  62,  18,  56,  62,  19,  54,  70,  34,  63,  93,  63,  86, 115,  90, 110,  95,  68,  91,  62,  28,  58,  55,  15,  50,  55,  15,  51,
    56,  16,  51,  53,  17,  48,  53,  18,  49,  58,  29,  59,  65,  41,  69,  70,  53,  80,  69,  54,  82,  71,  61,  89,  75,  69,  96,  81,  79, 103,  80,  86, 109,  86,  92, 113,  88,  95, 115,  88,  98, 117,  85,  95, 116,  77,  91, 110,  80,  94, 112,  78,  93, 112,  85, 100, 119,  83,  98, 118,  80,  98, 117,
    77,  96, 117,  80,  99, 120,  81, 100, 121, 107, 125, 142, 130, 147, 164,  93, 115, 133,  91, 113, 131,  98, 119, 135, 108, 129, 144, 106, 127, 142, 105, 126, 141, 108, 130, 141, 102, 124, 137, 102, 124, 136,  83, 105, 115,  83, 106, 115,  88, 108, 117, 100, 120, 128, 126, 143, 151, 122, 140, 148,  90, 113, 120,
    86, 112, 119, 105, 128, 135, 116, 139, 147, 144, 165, 172, 166, 183, 190, 176, 191, 197, 173, 191, 197, 177, 195, 200, 183, 199, 204, 192, 207, 211, 196, 212, 215, 198, 212, 215, 195, 211, 214, 199, 214, 217, 205, 217, 221, 207, 219, 222, 205, 218, 220, 209, 222, 224, 211, 224, 228, 219, 230, 233, 214, 227, 229,
   215, 227, 229, 216, 229, 230, 217, 229, 231, 216, 228, 232, 213, 226, 230, 218, 229, 233, 220, 231, 234, 221, 233, 235, 222, 234, 236, 219, 232, 235, 224, 234, 237, 223, 233, 236, 225, 234, 237, 222, 233, 236, 219, 230, 234, 216, 227, 231, 210, 223, 226, 205, 221, 224, 206, 221, 226, 207, 222, 225, 207, 220, 223,
   204, 218, 221, 200, 214, 220, 188, 206, 211, 182, 201, 207, 176, 196, 203, 181, 200, 206, 178, 197, 204, 172, 193, 201, 160, 184, 194, 150, 174, 185, 130, 157, 171, 116, 147, 162, 115, 145, 159, 102, 135, 149,  85, 119, 134,  80, 113, 126,  91, 115, 128,  92, 114, 126,  90, 112, 123,  80, 103, 114,  84, 105, 117,
    70,  88,  98,  30,  45,  58,  13,  27,  36,  27,  38,  46,  30,  40,  47,  23,  32,  39,  15,  29,  35,  35,  46,  54,  40,  52,  62,  39,  54,  64,  32,  50,  61,  37,  54,  64,  52,  68,  77,  39,  60,  69,  39,  58,  72,  52,  73,  86,  45,  66,  79,  50,  71,  85,  31,  55,  70,  41,  62,  78,  37,  59,  76,
    45,  65,  83,  41,  63,  81,  39,  63,  81,  41,  66,  84,  56,  78,  96,  52,  76,  93,  39,  66,  84,  43,  69,  88,  54,  76,  95,  42,  64,  86,  44,  63,  88,  60,  75, 101,  54,  71,  96,  49,  68,  94,  56,  75,  98,  47,  69,  92,  34,  58,  83,  53,  73,  99,  48,  69,  96,  49,  71, 100,  48,  69,  99,
    51,  73, 104,  57,  82, 112,  48,  78, 108,  54,  84, 115,  53,  93, 124,  58, 100, 131,  64, 104, 136,  62, 104, 136,  67, 110, 140,  83, 122, 148,  66, 104, 127,  57,  82, 104,  55,  76,  95, 122, 136, 145, 131, 147, 154, 122, 145, 155, 143, 166, 175, 176, 193, 200, 183, 198, 205, 196, 209, 213, 203, 217, 220,
   211, 224, 226, 214, 226, 228, 217, 228, 231, 221, 230, 234, 227, 236, 235, 231, 239, 238, 235, 241, 242, 236, 243, 244, 237, 245, 245, 239, 244, 245, 238, 244, 244, 239, 245, 245, 239, 244, 245, 239, 244, 245, 240, 246, 244, 239, 245, 244, 239, 244, 245, 239, 245, 245, 238, 243, 244, 238, 243, 244, 237, 243, 243,
   237, 242, 243, 237, 242, 243, 237, 243, 241, 236, 241, 242, 235, 240, 241, 234, 241, 240, 234, 240, 239, 233, 239, 239, 233, 238, 239, 230, 235, 236, 224, 232, 233, 217, 225, 228, 207, 217, 220, 197, 206, 210, 189, 198, 203, 178, 187, 192, 177, 183, 188, 170, 174, 181, 162, 162, 171, 156, 154, 164, 154, 148, 158,
    54,  12,  49,  54,  13,  50,  55,  14,  51,  54,  13,  50,  55,  15,  51,  56,  13,  50,  59,  17,  52,  59,  16,  53,  56,  13,  50,  57,  14,  51,  58,  15,  52,  58,  15,  52,  59,  16,  53,  59,  15,  52,  59,  15,  53,  60,  16,  53,  61,  15,  54,  62,  17,  55,  63,  16,  55,  64,  17,  56,  63,  16,  55,
    63,  16,  55,  63,  16,  56,  63,  17,  56,  65,  19,  58,  65,  18,  59,  67,  19,  59,  64,  17,  57,  65,  17,  58,  67,  19,  58,  66,  19,  58,  67,  20,  59,  69,  21,  60,  68,  18,  60,  69,  19,  61,  69,  21,  63,  68,  20,  61,  69,  21,  62,  69,  21,  62,  69,  21,  63,  71,  22,  64,  71,  21,  64,
    72,  22,  65,  72,  21,  65,  72,  22,  65,  73,  23,  65,  73,  22,  66,  74,  22,  66,  75,  23,  67,  76,  23,  67,  77,  24,  68,  78,  25,  68,  77,  24,  69,  79,  26,  69,  80,  26,  71,  78,  24,  71,  80,  26,  73,  79,  24,  72,  79,  24,  71,  79,  25,  69,  79,  25,  71,  77,  24,  69,  79,  26,  69,
    79,  26,  70,  78,  24,  68,  77,  23,  68,  78,  25,  68,  77,  24,  68,  76,  23,  67,  74,  21,  64,  73,  23,  63,  70,  23,  62,  69,  23,  61,  70,  23,  62,  66,  20,  59,  66,  22,  59,  63,  18,  55,  63,  19,  55,  60,  17,  52,  61,  25,  57,  88,  62,  86, 113,  91, 111,  96,  68,  93,  58,  22,  54,
    52,  12,  48,  53,  15,  50,  54,  18,  51,  56,  23,  55,  58,  27,  59,  61,  40,  69,  61,  41,  71,  66,  49,  76,  72,  62,  88,  79,  76, 101,  80,  85, 108,  83,  90, 111,  86,  93, 113,  87,  96, 116,  85,  95, 115,  81,  93, 113,  78,  92, 111,  77,  92, 111,  81,  96, 115,  84, 100, 120,  84, 102, 122,
    85, 104, 125,  85, 104, 125,  87, 106, 127,  86, 106, 127, 123, 141, 158, 116, 135, 152,  91, 114, 131,  94, 117, 133, 103, 125, 140, 110, 133, 148, 106, 129, 144, 106, 129, 145, 109, 132, 144, 117, 138, 150, 105, 128, 139,  91, 112, 125,  88, 110, 122,  95, 117, 126, 113, 132, 140, 127, 146, 153, 117, 137, 145,
   100, 123, 130, 107, 131, 137, 122, 146, 152, 138, 159, 166, 163, 180, 187, 176, 192, 198, 181, 196, 202, 180, 196, 202, 182, 199, 205, 190, 206, 210, 200, 213, 217, 202, 214, 218, 203, 215, 218, 202, 216, 219, 205, 217, 220, 205, 218, 220, 205, 218, 220, 207, 219, 221, 213, 225, 228, 217, 229, 231, 217, 229, 230,
   211, 224, 226, 211, 224, 226, 212, 225, 227, 212, 225, 228, 208, 222, 224, 214, 227, 228, 218, 229, 233, 218, 229, 233, 220, 230, 233, 220, 231, 234, 222, 232, 235, 221, 231, 234, 220, 231, 234, 219, 231, 234, 214, 226, 230, 212, 224, 228, 205, 219, 222, 191, 208, 212, 203, 218, 222, 202, 216, 221, 200, 215, 220,
   196, 211, 217, 189, 206, 212, 190, 207, 213, 170, 193, 201, 175, 196, 202, 169, 190, 198, 160, 183, 194, 159, 182, 191, 134, 166, 178, 128, 158, 172, 115, 147, 160,  99, 134, 147, 100, 131, 143,  83, 113, 124,  83, 110, 121,  74, 100, 111,  73,  92, 105,  78,  98, 109,  86, 105, 115,  81, 100, 109,  68,  86,  94,
    44,  58,  67,  28,  44,  52,  26,  37,  44,  23,  34,  41,  23,  33,  40,  40,  49,  55,  26,  36,  44,  14,  27,  34,  39,  51,  61,  55,  68,  78,  25,  44,  55,  37,  55,  67,  36,  56,  68,  41,  59,  71,  60,  76,  90,  49,  73,  88,  50,  74,  88,  49,  72,  87,  40,  64,  78,  36,  59,  77,  43,  64,  81,
    40,  62,  80,  45,  68,  84,  44,  66,  86,  49,  71,  89,  36,  64,  82,  58,  82, 100,  56,  80,  98,  43,  69,  88,  50,  72,  92,  49,  70,  92,  44,  65,  89,  44,  64,  89,  55,  73,  96,  48,  69,  92,  47,  69,  92,  53,  74,  97,  50,  70,  95,  48,  68,  95,  48,  68,  96,  49,  70,  97,  49,  70, 100,
    44,  68,  98,  48,  75, 105,  46,  75, 105,  46,  78, 109,  50,  84, 116,  58,  98, 130,  59,  99, 131,  64, 105, 135,  82, 120, 149,  55, 102, 128,  63, 101, 128,  43,  72,  94,  47,  68,  89,  92, 108, 119, 131, 145, 151, 132, 152, 159, 152, 171, 179, 170, 188, 195, 185, 200, 206, 187, 203, 208, 197, 211, 215,
   205, 218, 221, 212, 224, 227, 216, 228, 230, 220, 230, 233, 224, 234, 234, 228, 236, 236, 233, 240, 239, 236, 242, 241, 236, 244, 244, 237, 245, 245, 239, 245, 245, 239, 245, 245, 240, 246, 245, 240, 246, 246, 240, 246, 245, 240, 246, 245, 239, 245, 244, 239, 245, 244, 239, 244, 245, 238, 243, 244, 237, 244, 243,
   237, 243, 243, 236, 243, 242, 236, 242, 241, 237, 241, 243, 236, 241, 242, 236, 242, 241, 235, 241, 240, 235, 241, 240, 233, 238, 239, 233, 238, 239, 229, 235, 236, 223, 231, 232, 217, 225, 228, 210, 219, 222, 204, 213, 216, 201, 208, 211, 192, 198, 201, 185, 189, 194, 179, 182, 190, 170, 172, 180, 161, 158, 165,
    54,  13,  50,  57,  16,  52,  54,  13,  50,  54,  13,  50,  56,  14,  50,  57,  15,  51,  57,  14,  51,  57,  14,  51,  59,  16,  53,  57,  14,  51,  59,  16,  53,  58,  15,  53,  60,  16,  53,  60,  16,  53,  60,  15,  54,  61,  16,  55,  60,  16,  55,  61,  14,  54,  61,  16,  55,  62,  17,  56,  64,  17,  57,
    64,  17,  57,  64,  17,  56,  65,  18,  56,  63,  16,  57,  65,  17,  57,  66,  20,  59,  66,  19,  59,  65,  17,  58,  67,  19,  59,  67,  20,  59,  67,  20,  59,  68,  18,  60,  69,  20,  60,  68,  18,  60,  68,  20,  62,  66,  18,  60,  68,  20,  62,  68,  20,  62,  70,  21,  63,  71,  21,  63,  72,  22,  65,
    71,  22,  64,  72,  22,  66,  74,  23,  66,  74,  24,  66,  74,  23,  66,  74,  23,  67,  76,  23,  67,  77,  24,  68,  78,  25,  69,  78,  25,  70,  77,  23,  70,  78,  24,  71,  79,  26,  71,  80,  25,  72,  79,  25,  72,  79,  25,  72,  78,  24,  70,  80,  27,  71,  79,  24,  71,  79,  25,  71,  80,  27,  71,
    79,  24,  69,  78,  25,  69,  77,  24,  68,  76,  20,  66,  75,  20,  66,  75,  22,  67,  74,  22,  65,  72,  23,  63,  71,  24,  63,  71,  24,  63,  69,  22,  61,  68,  21,  59,  68,  21,  59,  67,  18,  58,  64,  20,  57,  62,  15,  54,  59,  19,  55,  55,  17,  52,  60,  27,  57,  87,  60,  84, 115,  91, 112,
    90,  62,  88,  55,  18,  52,  54,  17,  52,  53,  18,  52,  57,  24,  56,  57,  26,  59,  58,  32,  62,  62,  40,  68,  67,  50,  76,  78,  69,  95,  86,  84, 107,  87,  91, 114,  87,  95, 115,  90,  97, 117,  95, 104, 124,  94, 104, 124,  92, 103, 123,  89, 102, 122,  92, 105, 124,  93, 108, 128,  95, 110, 131,
    93, 110, 131,  92, 110, 132,  91, 111, 130,  93, 112, 132,  96, 117, 136, 142, 159, 173, 101, 123, 140,  89, 114, 131,  95, 120, 135, 107, 130, 145, 107, 130, 145, 104, 128, 143, 106, 129, 144, 122, 144, 155, 118, 140, 152, 110, 132, 146,  98, 120, 132,  96, 118, 129, 100, 122, 130, 119, 139, 146, 139, 157, 163,
   129, 149, 155, 119, 144, 151, 140, 160, 164, 140, 161, 165, 158, 177, 182, 178, 193, 199, 178, 195, 200, 182, 198, 204, 185, 202, 207, 188, 205, 209, 199, 212, 216, 203, 215, 219, 206, 219, 221, 201, 215, 219, 199, 214, 217, 204, 216, 220, 205, 217, 221, 207, 220, 222, 210, 223, 225, 215, 227, 229, 217, 227, 230,
   208, 221, 224, 204, 219, 221, 205, 220, 222, 206, 220, 223, 206, 220, 223, 210, 223, 226, 215, 227, 231, 214, 227, 230, 218, 229, 233, 221, 231, 233, 218, 229, 233, 217, 228, 231, 216, 227, 231, 214, 226, 230, 209, 222, 226, 206, 219, 223, 206, 218, 222, 182, 203, 209, 188, 207, 213, 192, 209, 214, 194, 210, 216,
   185, 203, 210, 189, 206, 213, 173, 196, 202, 177, 198, 203, 173, 195, 201, 170, 190, 198, 159, 182, 192, 149, 174, 184, 129, 158, 171, 109, 141, 155, 109, 136, 149,  89, 118, 130,  92, 118, 129,  89, 114, 123,  92, 116, 124,  67,  93, 103,  88, 107, 116, 102, 118, 128,  79,  97, 106,  82, 100, 108,  51,  71,  78,
    43,  58,  65,  47,  59,  66,  35,  45,  52,  24,  35,  40,  24,  35,  40,  29,  39,  45,  35,  45,  51,  30,  40,  49,  32,  43,  53,  17,  36,  46,  33,  53,  65,  38,  57,  68,  27,  49,  61,  40,  59,  71,  42,  60,  75,  46,  71,  86,  50,  73,  88,  64,  85,  98,  58,  79,  94,  38,  61,  79,  50,  70,  86,
    45,  67,  85,  50,  71,  89,  52,  75,  92,  56,  78,  95,  43,  69,  87,  50,  74,  93,  62,  83, 102,  45,  70,  91,  51,  72,  94,  63,  81, 101,  53,  73,  95,  43,  66,  87,  51,  74,  95,  42,  66,  88,  37,  62,  86,  54,  72,  97,  51,  69,  95,  41,  61,  88,  42,  63,  89,  43,  66,  92,  39,  64,  92,
    48,  71, 100,  40,  68,  99,  50,  75, 106,  46,  73, 104,  55,  86, 117,  56,  90, 120,  50,  89, 118,  85, 117, 144,  53,  97, 126,  61, 103, 130,  66, 104, 130,  35,  65,  88,  56,  76,  96,  46,  68,  81, 128, 142, 148, 128, 148, 156, 126, 152, 161, 160, 179, 187, 184, 197, 204, 188, 202, 209, 203, 216, 219,
   205, 218, 221, 209, 222, 224, 213, 225, 227, 217, 228, 230, 221, 231, 231, 224, 234, 234, 227, 236, 235, 232, 239, 239, 235, 242, 243, 237, 244, 244, 239, 245, 244, 240, 246, 245, 239, 245, 244, 239, 245, 244, 240, 246, 246, 240, 246, 245, 240, 246, 245, 239, 245, 244, 239, 245, 244, 238, 245, 243, 238, 243, 243,
   238, 244, 243, 237, 244, 243, 237, 243, 243, 236, 243, 242, 237, 243, 242, 237, 243, 242, 237, 243, 242, 235, 241, 240, 235, 240, 241, 234, 239, 240, 232, 237, 238, 231, 235, 236, 224, 232, 232, 220, 228, 228, 216, 223, 226, 210, 217, 220, 203, 210, 213, 203, 207, 211, 194, 200, 205, 183, 186, 193, 170, 170, 175,
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    60,  80,  97,  50,  72,  89,  49,  72,  89,  54,  77,  94,  56,  78,  96,  63,  84, 102,  51,  75,  94,  57,  78,  99,  55,  74,  95,  50,  70,  92,  59,  78,  99,  60,  79, 100,  56,  77,  97,  42,  66,  89,  43,  67,  89,  35,  60,  85,  48,  66,  92,  39,  59,  86,  45,  65,  91,  43,  65,  91,  45,  67,  95,
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   239, 245, 244, 238, 245, 244, 238, 244, 244, 239, 244, 244, 238, 244, 243, 238, 244, 242, 237, 243, 242, 237, 243, 242, 236, 242, 242, 235, 240, 241, 234, 239, 240, 232, 237, 238, 231, 236, 237, 227, 235, 235, 223, 231, 231, 220, 226, 226, 218, 223, 226, 212, 218, 222, 206, 211, 215, 193, 197, 201, 177, 186, 187,
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   206, 219, 223, 186, 205, 212, 201, 215, 219, 200, 214, 219, 197, 213, 220, 205, 218, 223, 206, 220, 224, 209, 221, 225, 210, 223, 226, 207, 221, 224, 206, 219, 224, 207, 220, 224, 206, 218, 223, 200, 215, 219, 192, 210, 215, 188, 206, 213, 174, 196, 205, 183, 200, 208, 188, 206, 211, 179, 199, 206, 172, 194, 202,
   187, 205, 210, 169, 191, 200, 172, 193, 199, 179, 198, 204, 167, 189, 195, 157, 180, 188, 149, 173, 182, 134, 159, 171, 109, 141, 154,  86, 119, 136,  92, 119, 132,  84, 111, 123,  87, 112, 120,  98, 121, 129,  93, 115, 123,  89, 108, 118,  95, 112, 120,  63,  80,  88,  48,  65,  74,  46,  63,  70,  37,  51,  59,
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   199, 212, 216, 209, 221, 223, 214, 225, 227, 218, 228, 228, 219, 229, 229, 221, 231, 231, 224, 234, 234, 229, 238, 238, 232, 240, 241, 234, 243, 243, 236, 243, 243, 237, 243, 243, 240, 244, 245, 240, 244, 246, 240, 245, 245, 240, 246, 246, 238, 245, 245, 239, 246, 246, 239, 245, 246, 239, 245, 245, 240, 245, 245,
   239, 245, 244, 239, 245, 244, 239, 245, 244, 238, 244, 244, 238, 244, 243, 237, 243, 243, 237, 243, 242, 237, 243, 242, 237, 242, 242, 237, 242, 242, 235, 241, 241, 234, 240, 240, 235, 240, 240, 233, 239, 238, 230, 236, 235, 229, 234, 233, 225, 230, 231, 219, 225, 225, 211, 218, 219, 201, 210, 212, 190, 202, 202,
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   149, 167, 174, 160, 179, 185, 162, 179, 186, 167, 185, 192, 173, 191, 198, 186, 200, 205, 190, 204, 209, 184, 200, 206, 183, 200, 205, 188, 205, 209, 185, 204, 209, 189, 207, 210, 199, 212, 218, 192, 207, 213, 195, 209, 214, 198, 211, 215, 199, 211, 215, 196, 210, 214, 195, 209, 215, 191, 209, 215, 197, 213, 218,
   206, 218, 222, 182, 201, 208, 191, 208, 213, 195, 210, 216, 194, 210, 216, 202, 217, 222, 204, 219, 222, 204, 218, 222, 207, 219, 223, 203, 216, 220, 202, 216, 222, 202, 216, 220, 194, 211, 216, 195, 211, 216, 186, 205, 211, 182, 201, 208, 167, 190, 200, 182, 200, 207, 186, 202, 208, 185, 201, 207, 169, 188, 197,
   159, 183, 191, 190, 203, 209, 167, 189, 196, 177, 196, 202, 171, 191, 197, 159, 181, 189, 132, 161, 172, 131, 157, 169, 114, 144, 157,  88, 119, 134,  82, 107, 120,  71,  98, 111,  75, 102, 112,  82, 107, 116, 111, 130, 138,  75,  96, 106,  69,  86,  94,  44,  63,  72,  38,  56,  64,  36,  52,  58,  38,  52,  59,
    39,  52,  59,  12,  25,  32,  23,  34,  41,  12,  21,  28,  14,  24,  31,   9,  18,  26,  19,  30,  37,  36,  50,  58,  23,  39,  49,  55,  73,  84,  46,  65,  76,  42,  61,  74,  38,  58,  69,  43,  62,  74,  36,  56,  69,  42,  65,  79,  48,  71,  85,  35,  61,  78,  64,  84,  99,  51,  74,  91,  45,  68,  84,
    59,  78,  95,  48,  69,  88,  62,  81,  99,  48,  70,  88,  53,  74,  92,  49,  70,  89,  51,  73,  93,  50,  70,  92,  59,  76,  98,  51,  69,  92,  61,  77,  99,  64,  80, 101,  48,  67,  90,  60,  77,  99,  45,  67,  89,  41,  63,  86,  38,  62,  84,  35,  57,  82,  46,  65,  91,  34,  55,  82,  41,  59,  89,
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   201, 214, 217, 207, 219, 221, 215, 225, 228, 217, 228, 228, 222, 231, 231, 227, 235, 235, 228, 236, 236, 230, 238, 238, 232, 240, 240, 233, 241, 241, 235, 242, 242, 238, 244, 244, 239, 244, 245, 239, 244, 245, 240, 246, 246, 240, 245, 245, 240, 245, 246, 240, 245, 246, 240, 245, 246, 239, 245, 246, 240, 245, 245,
   239, 244, 245, 239, 245, 244, 239, 245, 244, 238, 244, 243, 238, 244, 243, 238, 244, 243, 238, 243, 243, 238, 244, 244, 238, 243, 244, 237, 243, 243, 237, 243, 242, 237, 243, 242, 236, 241, 240, 235, 240, 239, 233, 238, 237, 231, 237, 237, 229, 234, 234, 222, 230, 230, 219, 225, 226, 209, 218, 217, 205, 214, 216,
    55,  15,  52,  55,  15,  51,  56,  15,  52,  55,  14,  51,  57,  16,  53,  57,  15,  52,  58,  15,  51,  57,  14,  51,  59,  16,  52,  58,  15,  52,  60,  16,  53,  59,  15,  52,  60,  15,  53,  60,  16,  53,  59,  14,  53,  61,  16,  55,  61,  16,  55,  59,  14,  53,  61,  16,  55,  62,  16,  55,  62,  17,  56,
    63,  18,  57,  62,  17,  56,  64,  19,  57,  62,  17,  56,  65,  18,  57,  65,  18,  57,  65,  19,  58,  64,  18,  57,  65,  20,  58,  65,  19,  58,  65,  18,  57,  66,  19,  59,  67,  20,  59,  67,  20,  59,  68,  20,  60,  67,  20,  60,  68,  20,  62,  69,  20,  61,  70,  20,  61,  70,  21,  63,  69,  21,  63,
    71,  23,  65,  71,  22,  64,  73,  22,  64,  73,  24,  66,  73,  23,  65,  74,  24,  66,  74,  24,  66,  75,  23,  66,  76,  25,  67,  77,  25,  68,  76,  24,  67,  80,  27,  71,  78,  25,  69,  80,  27,  71,  80,  25,  72,  80,  27,  72,  79,  25,  72,  81,  26,  73,  80,  27,  74,  80,  25,  72,  81,  27,  74,
    81,  26,  73,  80,  25,  74,  80,  25,  72,  79,  25,  70,  78,  25,  69,  76,  25,  68,  75,  25,  68,  75,  25,  67,  73,  25,  66,  72,  24,  64,  73,  26,  65,  71,  24,  63,  70,  26,  63,  70,  26,  62,  68,  24,  60,  68,  24,  60,  67,  23,  59,  65,  20,  58,  65,  21,  58,  65,  22,  58,  62,  20,  55,
    63,  21,  56,  61,  22,  54,  58,  19,  52,  56,  22,  52,  62,  32,  59,  99,  77,  98, 107,  86, 107,  64,  36,  63,  57,  26,  56,  66,  42,  69,  73,  56,  80,  80,  66,  90,  88,  80, 101,  90,  88, 108,  89,  96, 115, 101, 107, 126, 104, 111, 131, 103, 112, 131, 100, 111, 130,  95, 108, 127,  97, 111, 129,
   100, 114, 132, 107, 123, 141, 115, 131, 148, 114, 130, 147, 120, 137, 154, 124, 142, 159, 116, 135, 153, 138, 154, 169, 140, 158, 171, 121, 139, 156, 115, 135, 150, 120, 141, 155, 130, 149, 161, 137, 156, 167, 129, 150, 159, 140, 160, 168, 144, 164, 171, 126, 148, 156, 132, 154, 162, 131, 153, 161, 134, 155, 163,
   148, 168, 175, 165, 182, 188, 172, 188, 194, 177, 193, 199, 179, 197, 199, 196, 208, 212, 190, 205, 210, 184, 202, 208, 187, 203, 208, 182, 201, 206, 184, 203, 208, 182, 202, 207, 194, 208, 215, 193, 207, 213, 198, 209, 214, 195, 208, 212, 190, 206, 210, 185, 202, 208, 184, 201, 208, 185, 204, 210, 181, 202, 209,
   199, 212, 218, 180, 200, 207, 186, 204, 209, 187, 205, 210, 188, 207, 211, 194, 212, 217, 204, 218, 223, 199, 216, 220, 201, 215, 218, 202, 215, 220, 199, 213, 219, 197, 211, 217, 188, 206, 211, 189, 206, 211, 178, 198, 205, 181, 199, 206, 158, 184, 194, 173, 194, 201, 180, 198, 204, 194, 206, 211, 170, 189, 197,
   158, 181, 190, 177, 194, 201, 172, 191, 198, 170, 191, 197, 169, 189, 196, 163, 184, 192, 146, 170, 180, 126, 153, 165, 118, 146, 159, 105, 132, 145,  79, 105, 119,  77, 102, 114,  85, 106, 120,  90, 111, 124,  80, 102, 115,  69,  88, 100,  65,  81,  89,  55,  72,  81,  47,  64,  72,  39,  55,  62,  26,  41,  48,
    28,  42,  50,  14,  26,  32,   8,  20,  27,  21,  30,  37,  15,  24,  31,  18,  27,  33,  27,  39,  46,  31,  46,  54,  22,  37,  49,  25,  45,  55,  32,  52,  64,  22,  44,  56,  17,  42,  53,  24,  47,  60,  28,  51,  64,  38,  62,  76,  50,  72,  86,  70,  90, 104,  40,  66,  82,  50,  73,  90,  62,  82,  99,
    45,  67,  86,  40,  64,  83,  43,  66,  85,  64,  82, 102,  53,  74,  94,  46,  68,  90,  46,  67,  89,  60,  78,  99,  37,  58,  83,  48,  66,  89,  39,  58,  84,  36,  56,  82,  47,  67,  90,  45,  65,  89,  49,  70,  93,  39,  63,  85,  45,  67,  89,  44,  64,  89,  39,  60,  87,  45,  62,  91,  42,  60,  90,
    32,  53,  83,  41,  61,  91,  44,  65,  95,  40,  63,  94,  41,  67,  98,  51,  78, 108,  49,  77, 108,  46,  79, 109,  60,  93, 121,  52,  87, 115,  46,  76, 102,  40,  65,  83,  39,  63,  80,  41,  65,  80,  31,  57,  67, 125, 140, 146, 148, 169, 174, 166, 184, 189, 168, 186, 192, 184, 199, 204, 193, 208, 211,
   202, 215, 218, 211, 222, 224, 214, 225, 226, 216, 226, 227, 221, 230, 230, 224, 234, 236, 228, 236, 236, 229, 237, 237, 231, 239, 239, 232, 240, 240, 235, 241, 242, 237, 243, 244, 238, 243, 244, 240, 245, 246, 240, 245, 246, 240, 245, 246, 239, 246, 246, 239, 245, 246, 239, 246, 246, 239, 245, 245, 240, 245, 246,
   240, 245, 246, 240, 246, 246, 239, 244, 245, 240, 245, 245, 239, 245, 244, 240, 245, 246, 239, 244, 245, 238, 244, 244, 238, 244, 244, 239, 245, 244, 238, 244, 243, 237, 243, 242, 236, 242, 241, 236, 242, 241, 235, 241, 240, 232, 238, 238, 230, 236, 235, 228, 234, 233, 224, 230, 230, 218, 226, 226, 215, 223, 226,
    55,  15,  51,  53,  12,  50,  54,  13,  51,  55,  14,  51,  56,  15,  52,  56,  12,  49,  58,  15,  52,  57,  14,  52,  57,  14,  51,  58,  15,  52,  59,  16,  53,  59,  14,  54,  61,  17,  54,  58,  13,  51,  60,  15,  53,  60,  15,  54,  60,  15,  54,  62,  17,  56,  61,  16,  55,  63,  16,  56,  62,  16,  55,
    64,  18,  57,  61,  15,  55,  63,  18,  57,  63,  18,  57,  64,  17,  56,  65,  18,  57,  63,  17,  56,  66,  19,  57,  66,  19,  58,  66,  19,  58,  66,  19,  58,  67,  20,  59,  68,  21,  60,  66,  19,  58,  67,  20,  59,  68,  21,  61,  69,  21,  63,  69,  19,  62,  70,  21,  62,  69,  21,  62,  70,  22,  64,
    69,  21,  63,  72,  22,  64,  70,  20,  63,  73,  23,  65,  73,  23,  65,  73,  23,  64,  74,  24,  66,  75,  25,  66,  76,  25,  67,  77,  25,  68,  77,  24,  68,  78,  25,  70,  80,  26,  70,  81,  28,  72,  80,  27,  71,  79,  26,  71,  81,  27,  72,  81,  27,  73,  81,  27,  74,  82,  26,  74,  80,  26,  73,
    81,  26,  74,  80,  26,  73,  80,  26,  73,  79,  26,  71,  79,  26,  69,  78,  25,  69,  76,  25,  69,  75,  24,  68,  77,  27,  69,  74,  25,  65,  72,  25,  65,  72,  25,  64,  72,  26,  64,  70,  26,  62,  69,  25,  61,  70,  26,  62,  68,  24,  60,  66,  22,  59,  67,  23,  60,  64,  21,  58,  64,  21,  57,
    62,  20,  54,  62,  21,  54,  60,  21,  53,  59,  21,  55,  58,  22,  54,  58,  25,  56,  84,  59,  84, 116,  97, 117,  78,  54,  79,  63,  38,  67,  73,  53,  79,  77,  63,  87,  83,  73,  95,  85,  81, 103,  89,  95, 114,  99, 105, 124, 102, 108, 128,  98, 108, 127,  98, 110, 128,  96, 108, 126, 101, 115, 133,
   102, 116, 134, 106, 122, 139, 114, 131, 148, 117, 134, 152, 116, 134, 152, 134, 151, 167, 136, 151, 167, 129, 146, 163, 151, 167, 179, 126, 144, 159, 119, 138, 153, 123, 142, 156, 134, 153, 165, 145, 164, 172, 136, 157, 167, 137, 159, 166, 149, 168, 175, 149, 169, 176, 136, 158, 166, 152, 170, 177, 151, 169, 177,
   163, 179, 185, 174, 188, 194, 180, 195, 201, 183, 198, 204, 181, 198, 204, 199, 209, 213, 190, 206, 211, 185, 203, 208, 190, 206, 210, 185, 202, 208, 187, 204, 210, 186, 204, 209, 190, 205, 211, 191, 206, 212, 192, 207, 211, 189, 204, 207, 184, 201, 205, 176, 195, 201, 169, 191, 197, 176, 196, 202, 191, 207, 212,
   193, 208, 213, 179, 199, 204, 174, 196, 201, 188, 206, 211, 184, 202, 209, 190, 207, 212, 194, 209, 215, 197, 212, 215, 196, 211, 215, 191, 209, 214, 193, 210, 216, 191, 208, 214, 188, 205, 212, 176, 197, 204, 177, 196, 204, 165, 189, 197, 170, 190, 199, 167, 188, 196, 178, 196, 203, 179, 195, 203, 173, 191, 199,
   172, 190, 198, 175, 193, 200, 182, 199, 205, 179, 195, 202, 165, 187, 193, 170, 188, 195, 136, 165, 175, 117, 146, 159, 107, 137, 151,  97, 124, 138,  75, 101, 114,  69,  93, 107,  80, 102, 115,  77,  99, 112,  69,  90, 104,  55,  73,  85,  58,  76,  86,  55,  72,  81,  58,  74,  81,  32,  49,  56,  28,  44,  51,
    21,  37,  44,  19,  31,  37,  23,  34,  41,  10,  20,  27,  15,  26,  33,  14,  23,  31,  11,  26,  34,  35,  47,  56,  14,  29,  37,  26,  41,  48,  20,  41,  52,  31,  52,  64,  41,  60,  72,  20,  43,  56,  40,  60,  73,  52,  72,  85,  55,  74,  88,  71,  91, 105,  50,  73,  89,  57,  78,  95,  53,  74,  91,
    54,  74,  93,  51,  71,  91,  51,  73,  93,  57,  78,  98,  60,  80, 101,  53,  73,  96,  39,  62,  86,  37,  59,  83,  40,  60,  86,  50,  67,  93,  41,  60,  86,  41,  63,  88,  36,  58,  84,  55,  74,  98,  57,  76,  99,  38,  61,  86,  33,  57,  82,  29,  53,  80,  33,  55,  84,  39,  59,  88,  32,  55,  83,
    36,  58,  87,  38,  59,  90,  35,  58,  90,  37,  60,  92,  44,  68,  98,  37,  64,  96,  44,  73, 104,  39,  74, 104,  50,  81, 110,  37,  72, 103,  46,  73,  98,  37,  62,  82,  39,  64,  81,  47,  70,  86,  32,  56,  70, 133, 146, 153, 144, 163, 171, 152, 173, 181, 182, 196, 201, 189, 203, 208, 198, 211, 213,
   206, 218, 221, 211, 223, 225, 216, 226, 226, 221, 230, 230, 222, 231, 231, 222, 232, 233, 227, 235, 235, 229, 236, 236, 230, 238, 238, 234, 239, 240, 235, 241, 240, 236, 243, 241, 236, 243, 244, 237, 244, 244, 238, 245, 245, 238, 244, 245, 240, 245, 246, 237, 245, 245, 239, 246, 246, 239, 246, 246, 240, 245, 246,
   240, 246, 246, 240, 245, 245, 240, 245, 246, 240, 245, 245, 239, 245, 245, 239, 245, 246, 239, 244, 245, 239, 245, 245, 239, 245, 245, 239, 245, 244, 238, 244, 243, 238, 244, 243, 237, 243, 242, 235, 241, 240, 236, 242, 241, 233, 239, 239, 232, 238, 237, 229, 235, 234, 228, 233, 233, 225, 231, 232, 222, 228, 229,
    53,  13,  50,  55,  16,  53,  54,  15,  51,  56,  16,  52,  55,  14,  52,  57,  14,  51,  57,  15,  52,  57,  14,  51,  58,  14,  53,  58,  15,  52,  59,  15,  53,  60,  16,  54,  59,  16,  53,  60,  16,  54,  60,  16,  54,  60,  15,  54,  59,  16,  54,  60,  15,  54,  61,  16,  55,  62,  16,  55,  62,  16,  55,
    63,  17,  56,  63,  17,  57,  64,  19,  57,  63,  17,  56,  64,  17,  56,  64,  17,  57,  65,  18,  57,  64,  18,  57,  65,  20,  59,  65,  18,  57,  65,  20,  58,  65,  20,  58,  66,  19,  58,  67,  21,  59,  67,  21,  60,  68,  20,  60,  69,  21,  62,  69,  20,  62,  70,  21,  62,  70,  21,  63,  70,  22,  63,
    70,  21,  63,  71,  23,  64,  70,  23,  64,  71,  23,  64,  73,  24,  65,  74,  24,  66,  74,  24,  66,  74,  24,  66,  76,  26,  68,  76,  26,  68,  77,  24,  68,  78,  25,  69,  79,  26,  70,  78,  24,  70,  79,  25,  71,  80,  26,  72,  81,  27,  73,  81,  27,  72,  81,  27,  73,  81,  27,  74,  80,  26,  73,
    81,  26,  74,  81,  27,  74,  79,  26,  72,  80,  27,  71,  79,  27,  71,  79,  28,  71,  77,  26,  70,  77,  27,  71,  75,  26,  68,  76,  27,  69,  75,  26,  68,  74,  26,  67,  72,  25,  64,  72,  28,  65,  71,  26,  63,  73,  29,  65,  71,  27,  64,  71,  28,  64,  70,  26,  63,  67,  24,  61,  65,  23,  59,
    64,  23,  57,  64,  23,  57,  64,  24,  58,  62,  23,  58,  60,  23,  57,  63,  27,  60,  61,  27,  59,  71,  44,  70, 110,  91, 113, 108,  92, 112,  67,  49,  74,  71,  55,  80,  81,  69,  91,  80,  75,  96,  86,  89, 111,  96, 102, 123, 101, 108, 127,  94, 104, 123,  90, 102, 120,  97, 109, 127, 103, 117, 135,
   103, 118, 135, 107, 123, 140, 111, 129, 146, 123, 140, 157, 130, 148, 164, 126, 145, 162, 132, 152, 167, 135, 154, 168, 149, 166, 178, 144, 161, 173, 123, 144, 158, 119, 142, 154, 130, 151, 162, 139, 159, 169, 147, 165, 173, 143, 164, 172, 148, 167, 174, 159, 178, 184, 149, 169, 175, 159, 178, 184, 156, 177, 183,
   169, 185, 192, 177, 191, 197, 182, 196, 202, 184, 200, 206, 182, 199, 205, 193, 207, 211, 194, 208, 212, 183, 201, 207, 189, 205, 210, 189, 205, 210, 187, 203, 208, 186, 203, 208, 183, 201, 207, 186, 202, 208, 185, 201, 206, 180, 197, 202, 179, 197, 202, 172, 191, 197, 164, 187, 194, 176, 195, 201, 187, 204, 209,
   187, 202, 207, 184, 201, 205, 177, 196, 201, 175, 194, 201, 180, 199, 206, 189, 205, 211, 191, 207, 213, 195, 209, 214, 190, 207, 211, 192, 207, 211, 190, 206, 212, 183, 201, 208, 175, 195, 203, 171, 192, 201, 166, 188, 197, 153, 179, 189, 175, 193, 200, 168, 189, 197, 182, 198, 205, 181, 198, 205, 173, 190, 199,
   181, 197, 203, 173, 193, 200, 190, 204, 209, 172, 192, 199, 164, 185, 193, 156, 178, 187, 150, 173, 183, 135, 159, 170, 117, 145, 159,  96, 125, 138,  61,  89, 103,  78, 100, 114,  61,  87, 100,  83, 101, 115,  70,  89, 102,  54,  71,  84,  42,  60,  72,  39,  56,  67,  55,  70,  79,  34,  50,  60,  43,  58,  64,
    19,  34,  41,  10,  25,  30,  28,  40,  47,  16,  26,  33,  16,  25,  32,  13,  25,  31,  37,  48,  56,  17,  30,  38,  23,  36,  44,  17,  33,  41,  43,  58,  68,  35,  55,  67,  42,  60,  73,  37,  56,  69,  42,  62,  75,  36,  57,  71,  54,  76,  88,  71,  90, 104,  63,  83, 100,  61,  82,  99,  60,  79,  97,
    63,  82, 100,  58,  77,  96,  56,  77,  98,  51,  74,  96,  59,  80, 101,  59,  79, 100,  59,  78, 100,  50,  70,  94,  54,  72,  96,  38,  59,  85,  34,  56,  82,  39,  60,  86,  24,  51,  77,  32,  56,  82,  45,  66,  91,  53,  71,  95,  41,  62,  88,  29,  53,  80,  42,  61,  90,  37,  60,  89,  35,  58,  88,
    29,  53,  85,  37,  58,  92,  38,  60,  93,  43,  64,  97,  40,  62,  96,  42,  65,  96,  32,  63,  95,  43,  73, 103,  45,  75, 105,  47,  78, 105,  39,  67,  90,  37,  65,  84,  41,  65,  84,  50,  71,  90,  31,  55,  69, 110, 126, 134, 153, 166, 173, 156, 175, 182, 178, 193, 199, 191, 205, 209, 194, 208, 212,
   202, 216, 218, 208, 220, 222, 213, 224, 226, 215, 226, 228, 219, 229, 229, 222, 232, 232, 225, 233, 233, 226, 234, 234, 227, 235, 234, 230, 238, 237, 234, 240, 239, 235, 241, 240, 237, 242, 241, 239, 244, 244, 239, 244, 245, 240, 245, 246, 239, 245, 245, 238, 246, 245, 240, 246, 247, 241, 245, 247, 240, 245, 246,
   241, 245, 247, 241, 246, 247, 240, 245, 246, 240, 246, 245, 240, 246, 245, 240, 246, 245, 240, 246, 245, 240, 245, 245, 240, 245, 245, 239, 246, 245, 239, 245, 244, 238, 244, 243, 238, 244, 243, 237, 243, 242, 235, 241, 240, 235, 241, 240, 234, 240, 239, 232, 238, 237, 229, 235, 234, 227, 235, 233, 224, 233, 233,
    53,  17,  50,  53,  13,  50,  55,  16,  52,  55,  14,  51,  56,  15,  52,  57,  15,  52,  57,  16,  52,  59,  15,  52,  58,  15,  52,  59,  16,  53,  60,  15,  54,  60,  16,  54,  58,  15,  53,  59,  16,  54,  58,  14,  52,  60,  15,  54,  60,  17,  55,  60,  15,  54,  61,  16,  55,  62,  17,  56,  63,  17,  56,
    62,  17,  56,  62,  16,  55,  63,  18,  56,  62,  17,  56,  63,  16,  55,  64,  18,  56,  65,  20,  58,  64,  17,  56,  66,  19,  58,  65,  18,  57,  66,  20,  58,  66,  20,  59,  66,  19,  58,  66,  19,  58,  67,  20,  59,  67,  21,  60,  68,  21,  62,  68,  19,  61,  69,  20,  61,  68,  19,  61,  70,  22,  62,
    70,  21,  63,  69,  21,  62,  69,  21,  63,  71,  23,  64,  72,  23,  64,  72,  23,  65,  74,  24,  65,  76,  26,  67,  74,  24,  66,  75,  25,  67,  77,  26,  68,  77,  27,  69,  78,  24,  68,  79,  27,  71,  80,  26,  72,  80,  27,  71,  79,  25,  72,  81,  26,  73,  81,  26,  73,  80,  26,  73,  80,  26,  73,
    82,  28,  74,  82,  29,  73,  82,  28,  73,  80,  27,  71,  81,  28,  72,  79,  27,  71,  78,  26,  70,  78,  27,  70,  78,  27,  69,  77,  28,  70,  74,  27,  69,  76,  29,  70,  75,  28,  68,  74,  28,  67,  75,  31,  67,  74,  30,  67,  72,  29,  66,  73,  30,  66,  71,  29,  65,  70,  27,  64,  69,  27,  63,
    68,  27,  62,  65,  25,  60,  64,  24,  59,  63,  24,  58,  63,  24,  59,  64,  27,  60,  68,  33,  64,  67,  35,  66,  68,  41,  69,  95,  77, 101, 122, 108, 129,  72,  58,  81,  72,  58,  80,  80,  72,  93,  89,  90, 110, 102, 109, 128, 106, 113, 132, 100, 108, 128,  94, 105, 123,  95, 108, 126,  98, 112, 130,
   102, 118, 135, 108, 125, 141, 109, 128, 145, 117, 137, 154, 127, 146, 162, 134, 153, 168, 134, 154, 168, 136, 157, 169, 143, 163, 174, 161, 179, 187, 143, 164, 174, 129, 151, 163, 125, 147, 158, 131, 152, 163, 150, 169, 177, 151, 169, 176, 159, 177, 184, 163, 181, 187, 156, 175, 181, 164, 182, 187, 158, 179, 185,
   173, 190, 197, 185, 198, 203, 184, 199, 205, 181, 200, 205, 185, 203, 208, 188, 206, 209, 191, 207, 211, 188, 204, 209, 184, 201, 207, 188, 203, 209, 185, 201, 207, 177, 195, 201, 174, 193, 200, 172, 191, 198, 179, 195, 201, 172, 191, 197, 168, 188, 195, 173, 192, 198, 162, 185, 192, 172, 191, 198, 181, 198, 204,
   180, 198, 202, 182, 199, 205, 172, 193, 199, 182, 199, 205, 172, 193, 201, 184, 200, 207, 183, 201, 206, 184, 202, 208, 192, 208, 213, 185, 203, 208, 187, 203, 209, 177, 196, 204, 175, 194, 203, 166, 187, 198, 171, 190, 199, 158, 181, 191, 172, 190, 198, 173, 192, 200, 178, 195, 203, 167, 186, 195, 182, 198, 205,
   193, 205, 211, 166, 189, 195, 185, 203, 205, 176, 194, 201, 161, 181, 189, 151, 174, 184, 172, 188, 196, 143, 165, 175, 134, 158, 169, 107, 134, 147,  95, 118, 133,  96, 118, 130,  77,  99, 113,  86, 103, 116,  52,  76,  89,  61,  78,  90,  46,  63,  74,  38,  55,  67,  53,  68,  78,  49,  63,  73,  44,  59,  67,
    25,  42,  48,   9,  26,  33,  32,  47,  54,  17,  32,  39,   5,  18,  26,  42,  51,  58,  24,  37,  45,  57,  68,  76,   5,  18,  27,  13,  29,  38,  25,  41,  53,  56,  72,  85,  59,  76,  88,  40,  58,  71,  20,  43,  58,  49,  68,  80,  45,  66,  80,  59,  81,  96,  58,  81,  96,  48,  70,  89,  61,  80,  98,
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    79, 103, 118,  69,  95, 110,  44,  74,  93,  74,  97, 114,  79, 102, 119,  85, 109, 124,  77, 102, 118,  58,  78,  96,  39,  58,  82,  31,  52,  77,  34,  55,  80,  20,  44,  71,  33,  54,  79,  54,  70,  93,  50,  67,  88,  67,  83, 104,  77,  91, 111,  60,  77,  99,  20,  43,  69,  30,  51,  80,  31,  52,  81,
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   194, 208, 212, 198, 213, 216, 206, 219, 221, 208, 222, 224, 210, 223, 225, 213, 225, 227, 221, 231, 230, 224, 233, 232, 226, 234, 234, 227, 235, 235, 228, 235, 235, 230, 238, 237, 235, 241, 240, 235, 241, 240, 236, 242, 241, 238, 244, 243, 241, 246, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246,
   241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 242, 247, 247, 241, 247, 246, 240, 246, 245, 240, 246, 246, 240, 246, 245, 240, 246, 245, 240, 246, 245, 239, 245, 244, 238, 244, 243, 238, 244, 243, 237, 243, 242, 237, 243, 242, 235, 241, 240, 234, 240, 240, 234, 240, 239,
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    62,  17,  56,  62,  17,  56,  63,  18,  57,  63,  17,  56,  64,  18,  57,  64,  17,  56,  65,  18,  57,  66,  19,  58,  64,  17,  56,  65,  17,  57,  65,  18,  58,  65,  18,  57,  66,  21,  60,  65,  18,  58,  64,  19,  58,  65,  20,  59,  64,  18,  57,  67,  20,  59,  68,  21,  60,  67,  20,  59,  69,  22,  61,
    70,  19,  61,  70,  20,  62,  72,  24,  65,  71,  21,  63,  72,  22,  63,  73,  23,  63,  73,  23,  64,  73,  23,  65,  75,  25,  67,  76,  26,  68,  76,  23,  67,  77,  23,  68,  77,  24,  68,  79,  26,  70,  79,  26,  70,  80,  26,  72,  78,  26,  70,  80,  27,  71,  79,  26,  70,  79,  26,  70,  80,  27,  70,
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   174, 191, 197, 174, 191, 197, 175, 192, 198, 184, 198, 204, 189, 202, 205, 176, 193, 198, 167, 186, 192, 169, 189, 195, 161, 183, 192, 160, 181, 189, 154, 173, 182, 143, 166, 175, 147, 169, 177, 146, 168, 177, 125, 155, 167, 156, 177, 186, 165, 182, 190, 142, 166, 177, 154, 175, 184, 141, 165, 176, 151, 171, 181,
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   194, 208, 212, 200, 214, 218, 206, 220, 222, 209, 222, 224, 214, 226, 228, 215, 226, 228, 219, 230, 231, 222, 230, 233, 223, 231, 232, 226, 234, 234, 228, 236, 236, 229, 237, 236, 230, 238, 237, 234, 240, 239, 237, 243, 242, 238, 243, 242, 239, 245, 244, 240, 246, 245, 241, 247, 246, 241, 246, 246, 241, 247, 246,
   241, 247, 246, 241, 246, 246, 241, 247, 246, 241, 247, 246, 241, 246, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 240, 246, 245, 241, 247, 246, 240, 246, 245, 240, 246, 245, 240, 246, 245, 239, 245, 244, 239, 244, 243, 238, 244, 243, 237, 243, 242, 236, 242, 241, 236, 242, 241, 235, 241, 240,
    54,  15,  50,  54,  16,  51,  56,  17,  52,  56,  16,  51,  56,  17,  51,  56,  13,  50,  57,  15,  51,  58,  16,  53,  59,  17,  53,  59,  16,  53,  59,  16,  53,  60,  17,  54,  60,  18,  54,  60,  17,  54,  61,  18,  55,  61,  16,  54,  60,  16,  54,  60,  15,  54,  61,  16,  55,  61,  17,  55,  62,  16,  57,
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    81,  28,  71,  79,  26,  70,  80,  27,  70,  80,  26,  73,  80,  28,  74,  78,  27,  73,  80,  31,  74,  77,  30,  71,  76,  28,  70,  81,  35,  77,  91,  47,  85,  91,  47,  86,  95,  55,  89,  94,  54,  88,  94,  56,  90,  95,  60,  92,  95,  61,  93,  96,  64,  95,  91,  61,  91, 118,  91, 116, 127, 100, 125,
   107,  79, 104,  82,  50,  80,  76,  44,  77,  75,  43,  75,  77,  46,  76,  79,  49,  78,  77,  47,  75,  81,  52,  78,  82,  53,  81,  87,  61,  88,  90,  66,  92,  88,  65,  89,  87,  66,  90,  88,  70,  92,  94,  82, 102,  95,  90, 103, 116, 118, 129, 153, 159, 167, 118, 127, 138, 117, 127, 138, 133, 143, 154,
   148, 158, 168, 152, 162, 172, 158, 169, 178, 162, 173, 183, 163, 175, 185, 161, 174, 184, 165, 177, 186, 168, 180, 189, 172, 183, 191, 166, 179, 187, 156, 174, 181, 175, 189, 195, 180, 192, 197, 177, 191, 195, 166, 183, 189, 176, 190, 194, 160, 178, 184, 163, 180, 187, 169, 184, 191, 165, 184, 189, 185, 198, 204,
   177, 194, 200, 175, 191, 197, 172, 190, 196, 179, 194, 200, 186, 199, 203, 179, 194, 200, 170, 189, 194, 167, 186, 193, 150, 175, 184, 160, 181, 190, 150, 170, 180, 147, 168, 177, 140, 163, 172, 144, 167, 176, 120, 152, 162, 155, 174, 182, 162, 181, 188, 146, 168, 178, 148, 170, 178, 133, 159, 170, 146, 169, 179,
   148, 170, 180, 139, 163, 174, 132, 158, 169, 148, 169, 179, 139, 163, 175, 126, 154, 167, 137, 162, 174, 140, 165, 176, 142, 167, 178, 137, 163, 173, 131, 160, 171, 139, 162, 173, 120, 149, 161, 119, 148, 161, 123, 152, 163, 171, 187, 194, 142, 166, 176, 141, 167, 177, 146, 168, 179, 150, 172, 182, 161, 181, 189,
   185, 200, 206, 170, 189, 196, 165, 186, 193, 162, 184, 191, 170, 190, 195, 165, 185, 190, 167, 185, 189, 160, 180, 185, 172, 188, 193, 131, 158, 167, 164, 180, 188, 154, 173, 181, 135, 157, 168, 100, 130, 143, 124, 148, 158,  97, 123, 131,  67,  94, 105, 120, 137, 145,  69,  94, 106,  54,  83,  97,  93, 117, 130,
    94, 119, 131, 108, 129, 141,  35,  59,  71,  58,  77,  90,  58,  79,  92,  63,  81,  92,  70,  88,  97,  19,  39,  50,  43,  58,  68,  18,  38,  49,  24,  41,  54,  27,  46,  58,  16,  39,  54,  33,  55,  69,  43,  64,  79,  50,  72,  86,  68,  89, 104,  77,  98, 112,  51,  80,  94,  69,  94, 108,  74,  98, 112,
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   193, 207, 212, 200, 214, 217, 207, 219, 222, 212, 224, 226, 213, 225, 228, 216, 228, 230, 218, 229, 231, 221, 231, 232, 223, 233, 233, 225, 233, 233, 227, 235, 235, 228, 236, 235, 229, 237, 236, 229, 237, 236, 232, 240, 239, 235, 241, 240, 237, 243, 242, 238, 244, 243, 240, 246, 245, 240, 246, 245, 241, 247, 246,
   241, 247, 246, 241, 247, 246, 242, 248, 247, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 240, 246, 245, 240, 246, 245, 240, 246, 245, 240, 246, 245, 240, 246, 245, 240, 246, 245, 239, 245, 244, 239, 245, 244, 238, 244, 243, 238, 244, 243, 236, 242, 241, 236, 242, 241, 235, 241, 240,
    54,  16,  51,  52,  13,  49,  55,  15,  51,  55,  15,  50,  55,  15,  50,  56,  16,  52,  57,  15,  52,  57,  14,  51,  59,  16,  53,  57,  14,  51,  60,  16,  54,  59,  15,  53,  60,  17,  54,  58,  15,  52,  58,  15,  52,  60,  17,  54,  61,  17,  54,  61,  17,  54,  62,  17,  55,  62,  17,  56,  62,  17,  56,
    64,  16,  56,  65,  18,  57,  63,  16,  55,  63,  16,  55,  64,  18,  57,  63,  18,  56,  63,  19,  56,  63,  17,  56,  65,  20,  58,  64,  19,  56,  66,  19,  57,  67,  20,  59,  66,  21,  60,  66,  19,  59,  68,  21,  60,  66,  18,  60,  66,  20,  60,  67,  21,  60,  67,  20,  59,  68,  21,  60,  70,  21,  63,
    70,  21,  63,  71,  22,  64,  72,  23,  64,  72,  22,  64,  72,  22,  63,  75,  23,  63,  74,  23,  64,  74,  21,  65,  74,  23,  66,  76,  23,  66,  77,  24,  67,  77,  25,  67,  78,  25,  68,  79,  27,  70,  80,  27,  71,  80,  27,  71,  80,  29,  73,  82,  31,  74,  82,  28,  72,  82,  28,  72,  82,  30,  72,
    82,  30,  72,  81,  28,  72,  82,  30,  73,  78,  26,  71,  76,  25,  70,  88,  41,  83, 101,  56,  94,  95,  52,  90,  98,  55,  92,  86,  42,  81,  83,  37,  78,  77,  31,  73,  77,  32,  72,  77,  33,  71,  77,  33,  72,  75,  35,  72,  69,  29,  66,  89,  54,  87, 115,  86, 113,  82,  48,  81,  79,  43,  76,
    86,  52,  84,  99,  69,  97, 110,  81, 108, 112,  86, 113, 104,  77, 104,  87,  60,  86,  81,  52,  78,  86,  58,  84,  87,  61,  87,  91,  67,  93,  95,  74,  98,  99,  82, 104, 102,  85, 106, 103,  88, 108, 104,  93, 111, 106, 101, 115, 113, 115, 126, 133, 138, 148, 164, 170, 178, 141, 149, 159, 143, 152, 162,
   147, 157, 167, 163, 172, 181, 170, 181, 189, 173, 184, 192, 170, 181, 189, 170, 181, 189, 169, 182, 190, 170, 182, 190, 174, 185, 193, 175, 188, 194, 162, 178, 185, 164, 181, 187, 185, 197, 201, 182, 196, 199, 172, 188, 192, 176, 190, 194, 173, 187, 192, 158, 177, 183, 170, 186, 192, 165, 186, 190, 185, 199, 205,
   177, 193, 200, 169, 187, 194, 167, 185, 192, 179, 194, 199, 177, 193, 198, 178, 193, 198, 172, 188, 195, 160, 181, 187, 160, 180, 187, 155, 175, 184, 144, 165, 175, 160, 177, 185, 138, 161, 172, 144, 166, 176, 128, 156, 166, 160, 179, 186, 162, 180, 188, 142, 166, 175, 147, 169, 177, 129, 156, 167, 129, 156, 168,
   146, 167, 177, 134, 160, 171, 140, 164, 173, 122, 152, 163, 128, 155, 165, 125, 152, 164, 129, 155, 167, 138, 162, 174, 128, 156, 167, 132, 158, 169, 127, 153, 164, 129, 155, 166, 118, 146, 159, 105, 137, 152, 124, 151, 162, 170, 187, 195, 130, 157, 169, 161, 180, 188, 147, 170, 180, 146, 169, 178, 155, 177, 186,
   174, 192, 198, 177, 193, 200, 149, 177, 185, 166, 187, 194, 161, 182, 189, 175, 192, 197, 176, 194, 197, 168, 186, 192, 172, 189, 195, 167, 184, 191, 149, 171, 180, 157, 175, 183, 136, 157, 168, 109, 138, 149, 144, 162, 172, 133, 154, 163,  64,  96, 108,  96, 121, 132,  99, 119, 131,  72,  97, 110,  83, 107, 120,
   133, 151, 162, 112, 132, 144,  30,  57,  72,  59,  82,  96,  75,  94, 108, 100, 118, 128,  45,  65,  78,  42,  61,  74,  64,  79,  91,  36,  54,  68,  37,  57,  69,  59,  75,  87,  38,  59,  72,  38,  61,  75,  50,  71,  86,  57,  79,  94,  64,  85, 100,  94, 114, 127,  85, 111, 125,  93, 117, 130,  45,  76,  92,
    86, 108, 122,  70,  96, 111,  62,  88, 106,  72,  94, 110,  57,  79,  98,  49,  71,  90,  46,  65,  85,  44,  64,  85,  77, 100, 120, 103, 122, 140,  91, 110, 128,  82,  99, 115,  86, 101, 115,  79,  93, 110,  84,  99, 116,  74,  90, 108,  56,  75,  95,  75,  92, 112,  61,  80, 101,  46,  69,  91,  79,  97, 117,
    57,  78, 101,  34,  58,  83,  45,  63,  90,  48,  64,  91,  44,  61,  88,  45,  62,  89,  41,  58,  86,  37,  57,  84,  25,  48,  76,  34,  60,  86,  44,  73,  97,  49,  79, 102,  66,  93, 114,  46,  72,  92,  34,  58,  74, 109, 124, 134,  56,  88, 102,  70, 101, 113,  55,  92, 104, 139, 158, 166, 186, 200, 205,
   197, 210, 215, 196, 211, 216, 201, 214, 218, 207, 219, 223, 211, 223, 225, 213, 225, 227, 216, 228, 230, 220, 230, 233, 223, 232, 233, 225, 233, 233, 226, 234, 234, 228, 236, 235, 229, 237, 237, 229, 237, 236, 231, 238, 238, 232, 239, 239, 233, 241, 241, 236, 243, 242, 237, 243, 243, 240, 246, 245, 241, 247, 246,
   241, 247, 246, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 246, 245, 240, 246, 245, 240, 246, 245, 240, 246, 245, 239, 245, 244, 239, 245, 244, 238, 244, 243, 237, 243, 242, 236, 242, 241, 236, 242, 241,
    52,  15,  50,  54,  15,  51,  54,  16,  51,  53,  12,  49,  56,  16,  51,  57,  16,  52,  57,  17,  53,  57,  15,  52,  58,  15,  52,  59,  16,  53,  60,  17,  54,  58,  14,  53,  60,  17,  54,  60,  17,  54,  60,  16,  53,  60,  16,  53,  63,  19,  56,  60,  16,  54,  61,  16,  55,  61,  16,  55,  63,  18,  57,
    62,  17,  56,  63,  17,  56,  64,  16,  55,  65,  19,  58,  62,  18,  57,  64,  18,  57,  62,  17,  56,  64,  19,  57,  65,  18,  57,  65,  20,  58,  65,  18,  56,  66,  21,  59,  66,  19,  58,  68,  20,  59,  67,  19,  61,  67,  20,  61,  68,  21,  61,  68,  21,  60,  69,  22,  61,  70,  20,  61,  71,  22,  63,
    71,  21,  63,  71,  20,  63,  72,  23,  64,  72,  23,  64,  71,  21,  63,  74,  21,  62,  75,  25,  64,  75,  23,  65,  74,  23,  66,  76,  23,  66,  77,  25,  67,  78,  26,  68,  79,  26,  69,  79,  26,  69,  81,  28,  72,  80,  29,  72,  82,  31,  74,  82,  29,  72,  83,  31,  73,  83,  30,  72,  82,  31,  73,
    78,  28,  70,  87,  39,  80, 100,  55,  93, 100,  55,  93, 106,  62,  99,  88,  42,  81,  77,  29,  72,  76,  29,  72,  80,  32,  74,  80,  33,  75,  79,  32,  74,  81,  35,  76,  79,  34,  75,  80,  37,  78,  80,  40,  78,  76,  38,  74, 125,  96, 124,  95,  63,  93,  74,  36,  70,  78,  37,  74,  80,  43,  78,
    83,  46,  80,  83,  49,  82,  87,  54,  86,  87,  56,  87,  93,  66,  93, 105,  81, 106, 112,  90, 114, 108,  85, 109,  94,  72,  95,  91,  68,  92,  96,  76, 100, 104,  89, 110, 109,  98, 117, 115, 106, 124, 119, 110, 128, 118, 117, 131, 121, 123, 134, 134, 140, 149, 153, 162, 170, 173, 181, 188, 161, 170, 179,
   166, 175, 184, 170, 180, 188, 175, 186, 193, 178, 190, 197, 179, 190, 197, 175, 186, 193, 174, 186, 193, 173, 186, 192, 176, 188, 193, 179, 191, 197, 172, 187, 192, 159, 178, 184, 180, 195, 199, 187, 199, 203, 184, 196, 200, 176, 191, 196, 176, 190, 194, 158, 178, 184, 174, 189, 195, 174, 191, 196, 181, 197, 202,
   178, 194, 201, 180, 194, 201, 166, 185, 191, 172, 189, 194, 177, 191, 197, 173, 190, 195, 169, 187, 193, 157, 179, 186, 165, 183, 191, 157, 176, 185, 143, 165, 175, 154, 172, 181, 140, 163, 173, 149, 169, 178, 131, 159, 169, 157, 177, 184, 155, 176, 183, 143, 167, 176, 134, 158, 170, 141, 163, 174, 140, 163, 174,
   135, 159, 171, 129, 155, 168, 133, 158, 168, 125, 153, 163, 120, 149, 161, 121, 149, 162, 117, 145, 159, 130, 154, 167, 122, 149, 160, 109, 140, 153, 115, 145, 156, 118, 146, 159, 117, 145, 158, 107, 137, 151, 131, 156, 168, 166, 183, 190, 123, 154, 167, 151, 173, 182, 135, 161, 170, 160, 179, 187, 141, 167, 177,
   170, 188, 195, 178, 194, 201, 161, 183, 190, 154, 178, 186, 166, 186, 192, 166, 186, 192, 181, 196, 202, 168, 186, 192, 178, 193, 198, 164, 183, 189, 161, 180, 187, 167, 184, 190, 157, 174, 181, 142, 162, 171, 104, 132, 145, 147, 164, 174, 121, 145, 155, 103, 128, 140,  89, 113, 125,  87, 111, 124,  87, 112, 125,
   130, 149, 161, 106, 128, 142,  48,  77,  94,  83, 105, 119, 115, 131, 142,  51,  74,  88,  82, 100, 111,  52,  73,  86,  64,  83,  96,  51,  72,  85,  84,  99, 111,  65,  84,  96,  66,  86,  98,  54,  77,  90,  53,  76,  91,  70,  90, 104,  48,  73,  88,  59,  83,  98, 110, 132, 146,  83, 112, 126,  98, 123, 137,
    80, 107, 121,  82, 106, 120,  96, 118, 131,  58,  82,  97,  54,  76,  94,  65,  84, 102,  70,  88, 108,  84, 102, 120,  83, 102, 122,  64,  86, 106,  94, 113, 130, 101, 117, 132,  48,  70,  87,  46,  68,  85,  55,  75,  92,  74,  91, 109,  47,  69,  90,  37,  61,  84,  57,  80, 100,  60,  81, 102,  50,  73,  94,
    53,  76,  97,  54,  75,  98,  44,  64,  91,  43,  60,  87,  52,  67,  94,  48,  64,  91,  45,  61,  88,  42,  59,  85,  32,  53,  80,  35,  61,  85,  48,  76,  99,  50,  80, 102,  54,  84, 103,  45,  70,  90,  25,  47,  61,  83, 105, 117,  69,  99, 117,  66,  96, 114,  79, 108, 122, 143, 163, 170, 162, 180, 186,
   172, 188, 195, 177, 193, 199, 183, 199, 205, 197, 209, 214, 205, 217, 220, 211, 223, 226, 214, 226, 228, 215, 227, 229, 219, 230, 233, 224, 232, 235, 226, 234, 234, 228, 236, 236, 229, 237, 237, 229, 238, 236, 232, 238, 237, 234, 240, 239, 233, 241, 240, 237, 242, 243, 236, 243, 243, 239, 245, 244, 240, 246, 245,
   241, 247, 246, 242, 248, 247, 242, 248, 247, 242, 248, 248, 242, 248, 247, 242, 248, 247, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 242, 247, 246, 241, 247, 246, 241, 247, 246, 239, 245, 244, 240, 246, 245, 239, 245, 244, 239, 245, 244, 239, 245, 244, 238, 243, 242, 238, 244, 243, 236, 242, 241,
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    62,  17,  56,  63,  17,  57,  62,  17,  56,  63,  17,  56,  63,  18,  56,  64,  18,  56,  63,  18,  56,  64,  20,  57,  65,  18,  57,  65,  19,  57,  64,  18,  56,  65,  19,  57,  65,  19,  57,  67,  20,  59,  67,  20,  60,  67,  20,  60,  68,  21,  60,  69,  23,  62,  69,  20,  61,  71,  21,  61,  73,  23,  63,
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    83,  46,  79,  85,  50,  82,  88,  55,  86,  90,  60,  89,  94,  65,  94,  93,  67,  93,  92,  69,  94,  98,  77, 101, 117, 100, 121, 123, 109, 130, 116, 105, 124, 113, 102, 122, 118, 110, 130, 122, 117, 136, 130, 127, 143, 135, 136, 150, 134, 139, 150, 134, 143, 153, 144, 153, 164, 161, 172, 180, 177, 189, 195,
   173, 184, 192, 179, 190, 196, 185, 194, 201, 182, 194, 200, 181, 193, 200, 180, 193, 199, 177, 191, 198, 178, 190, 196, 179, 191, 197, 181, 193, 199, 182, 194, 200, 165, 184, 189, 168, 187, 192, 189, 201, 204, 183, 198, 201, 177, 193, 196, 179, 194, 196, 160, 179, 185, 172, 189, 193, 178, 194, 200, 182, 198, 204,
   187, 200, 206, 177, 192, 199, 166, 184, 190, 172, 187, 192, 177, 191, 196, 168, 184, 189, 160, 179, 186, 149, 171, 181, 151, 172, 180, 154, 174, 183, 129, 154, 165, 142, 163, 173, 148, 167, 177, 150, 170, 179, 133, 160, 170, 153, 174, 181, 147, 171, 178, 141, 164, 173, 130, 155, 167, 143, 164, 174, 138, 160, 172,
   140, 162, 174, 111, 142, 157, 131, 156, 166, 121, 148, 160, 116, 144, 158, 117, 145, 160, 116, 144, 158, 113, 141, 156, 121, 146, 160, 127, 151, 163, 121, 147, 159, 117, 144, 157, 126, 151, 163, 105, 137, 150, 106, 138, 152, 168, 184, 191, 136, 160, 171, 132, 158, 169, 156, 175, 182, 155, 175, 182, 149, 173, 182,
   147, 171, 179, 180, 195, 201, 175, 191, 199, 144, 170, 182, 169, 188, 194, 162, 184, 190, 163, 183, 190, 178, 193, 198, 176, 192, 197, 177, 191, 198, 157, 177, 184, 158, 178, 184, 173, 188, 194, 168, 183, 190, 124, 149, 162, 135, 156, 167, 106, 132, 145, 144, 161, 169, 129, 149, 159,  82, 113, 126, 122, 146, 157,
   116, 139, 152, 109, 132, 146,  64,  92, 111,  84, 108, 123, 106, 126, 139,  69,  95, 108,  78, 101, 114,  67,  91, 104,  90, 110, 122,  80, 104, 116,  88, 109, 120,  58,  82,  93,  87, 105, 117,  75,  96, 109,  88, 106, 120,  73,  94, 107,  51,  76,  91,  64,  87, 101,  77, 101, 117, 130, 149, 161,  84, 114, 128,
   106, 130, 144,  97, 121, 134,  96, 117, 130, 102, 122, 135,  89, 105, 122,  45,  68,  89,  25,  49,  71,   5,  36,  60,  11,  40,  64,  27,  52,  76,  40,  58,  78,  71,  88, 105,  89, 106, 121,  92, 109, 125,  58,  78,  95,  56,  77,  96,  54,  75,  95,  50,  72,  94,  42,  67,  89,  56,  78,  99,  49,  72,  94,
    59,  81, 102,  48,  72,  94,  39,  63,  89,  35,  56,  83,  45,  61,  88,  47,  62,  89,  48,  63,  91,  39,  56,  83,  40,  58,  84,  30,  56,  80,  42,  67,  90,  51,  76,  99,  54,  80,  98,  38,  61,  76,  84,  95, 107,  85, 108, 121,  64,  94, 111,  67,  96, 115,  73, 101, 115, 146, 165, 173, 150, 172, 178,
   149, 172, 178, 148, 173, 180, 162, 184, 191, 174, 193, 199, 191, 205, 210, 201, 215, 218, 208, 220, 223, 212, 224, 228, 215, 228, 229, 219, 229, 232, 223, 233, 233, 226, 235, 235, 228, 237, 236, 229, 237, 236, 231, 239, 238, 231, 238, 237, 233, 240, 239, 235, 241, 240, 236, 242, 241, 238, 243, 243, 238, 244, 243,
   240, 246, 245, 241, 247, 246, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 241, 247, 246, 241, 247, 246, 241, 247, 246, 242, 247, 246, 241, 247, 246, 241, 247, 246, 240, 247, 246, 240, 246, 245, 240, 246, 245, 239, 245, 244, 240, 245, 244, 239, 244, 243, 237, 243, 242, 236, 242, 241,
    52,  15,  49,  52,  15,  50,  54,  15,  50,  54,  15,  50,  55,  16,  51,  55,  16,  51,  56,  15,  52,  58,  16,  53,  57,  15,  52,  59,  16,  53,  59,  16,  53,  59,  16,  53,  61,  18,  55,  60,  17,  54,  59,  16,  53,  61,  17,  54,  60,  15,  54,  62,  18,  55,  61,  16,  54,  60,  15,  54,  63,  19,  57,
    62,  18,  57,  62,  16,  57,  62,  17,  56,  64,  19,  57,  63,  19,  56,  62,  17,  56,  64,  19,  57,  65,  19,  57,  66,  20,  58,  65,  20,  57,  67,  20,  58,  66,  23,  59,  67,  21,  58,  65,  18,  57,  69,  22,  61,  68,  20,  61,  69,  22,  61,  68,  23,  61,  69,  22,  61,  70,  21,  63,  70,  21,  63,
    70,  21,  63,  72,  23,  65,  71,  22,  64,  73,  23,  65,  73,  23,  64,  73,  23,  63,  73,  23,  63,  75,  25,  65,  74,  24,  66,  76,  26,  67,  77,  26,  69,  77,  23,  67,  79,  26,  69,  79,  29,  71,  80,  31,  72,  78,  28,  70,  85,  37,  77, 101,  57,  92,  99,  53,  90,  89,  42,  79,  84,  37,  76,
    83,  36,  77,  84,  37,  78,  85,  37,  78,  84,  37,  78,  84,  36,  77,  84,  37,  77,  84,  37,  76,  85,  34,  76,  84,  35,  77,  81,  32,  76,  81,  36,  76,  83,  40,  77,  76,  36,  73, 123,  94, 123, 105,  72, 103,  78,  39,  76,  83,  46,  79,  84,  50,  81,  84,  49,  80,  84,  49,  80,  83,  47,  79,
    82,  46,  77,  86,  52,  82,  90,  59,  87,  92,  63,  90,  97,  69,  95,  99,  74, 100, 102,  82, 106, 107,  89, 111, 110,  93, 114, 115, 104, 123, 127, 119, 136, 140, 135, 151, 145, 144, 158, 139, 140, 155, 143, 145, 160, 147, 153, 164, 151, 158, 169, 154, 163, 172, 154, 164, 173, 160, 172, 180, 173, 185, 191,
   180, 192, 198, 181, 193, 199, 186, 197, 203, 188, 199, 205, 183, 195, 201, 180, 194, 200, 183, 195, 201, 182, 194, 200, 183, 195, 200, 185, 197, 202, 187, 199, 203, 178, 194, 199, 167, 186, 191, 183, 197, 201, 187, 200, 203, 186, 198, 202, 177, 193, 196, 168, 185, 191, 172, 189, 195, 187, 199, 205, 188, 202, 205,
   187, 200, 205, 173, 189, 195, 166, 184, 191, 162, 179, 187, 163, 180, 186, 161, 178, 186, 153, 173, 181, 144, 167, 176, 150, 171, 179, 151, 170, 178, 133, 157, 167, 135, 158, 168, 154, 171, 181, 139, 162, 170, 133, 158, 167, 158, 176, 183, 147, 170, 177, 147, 168, 177, 133, 157, 169, 149, 167, 177, 138, 160, 172,
   148, 167, 177, 134, 159, 169, 130, 155, 164, 121, 147, 159, 111, 140, 153, 124, 149, 161, 120, 145, 158, 122, 146, 159, 108, 136, 151,  89, 122, 136, 117, 143, 156, 106, 135, 148, 112, 142, 153,  97, 131, 145, 128, 155, 166, 133, 159, 170, 138, 162, 173, 132, 158, 168, 152, 171, 179, 127, 156, 166, 164, 182, 189,
   134, 163, 174, 182, 196, 202, 167, 187, 194, 155, 177, 187, 152, 176, 185, 162, 184, 190, 161, 182, 189, 179, 195, 199, 178, 193, 197, 167, 185, 191, 153, 175, 181, 156, 178, 184, 166, 184, 190, 173, 188, 195, 153, 172, 180, 140, 160, 171, 130, 151, 163, 142, 160, 169, 107, 132, 143,  99, 128, 140, 130, 152, 162,
   138, 158, 167, 113, 137, 148,  79, 108, 125, 125, 145, 158,  92, 116, 128, 103, 124, 136,  98, 120, 132,  44,  76,  91, 107, 129, 140,  66,  95, 107, 104, 127, 137,  98, 122, 132, 102, 126, 137, 101, 124, 135,  76, 100, 113,  75,  94, 107,  69,  89, 103,  65,  87, 102,  71,  95, 110,  63,  91, 106, 128, 149, 160,
   143, 161, 171, 110, 136, 149,  94, 120, 132,  98, 121, 134, 109, 128, 144,  91, 109, 126,  80,  97, 116,  68,  85, 104,  85, 103, 122,  85, 104, 118,  96, 113, 129,  48,  70,  89,  64,  84, 102,  53,  75,  92,  54,  77,  94,  61,  81, 100,  60,  81, 100,  46,  67,  89,  56,  76,  97,  41,  65,  88,  41,  66,  89,
    45,  69,  92,  45,  70,  90,  36,  63,  85,  24,  51,  75,  28,  49,  75,  32,  51,  78,  26,  47,  73,  27,  48,  73,  28,  50,  74,  23,  47,  71,  40,  64,  86,  47,  68,  91,  42,  66,  83,  25,  51,  65,  96, 110, 120,  51,  79,  97,  61,  89, 106,  54,  86, 104, 109, 132, 143, 144, 165, 172, 160, 178, 183,
   172, 188, 194, 178, 194, 200, 176, 193, 200, 181, 198, 203, 190, 205, 210, 188, 205, 211, 189, 208, 211, 200, 215, 219, 211, 224, 225, 216, 228, 230, 222, 231, 232, 225, 234, 234, 228, 236, 235, 229, 236, 236, 231, 238, 237, 231, 239, 238, 233, 240, 238, 235, 241, 240, 236, 242, 241, 238, 243, 243, 239, 245, 244,
   240, 246, 245, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 243, 248, 247, 243, 248, 247, 242, 248, 247, 242, 248, 247, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 241, 247, 246, 240, 246, 245, 240, 245, 244, 240, 245, 244, 238, 244, 243, 238, 244, 243,
    51,  14,  48,  54,  16,  51,  55,  15,  50,  55,  15,  50,  55,  16,  51,  55,  15,  51,  57,  16,  52,  57,  14,  51,  57,  15,  52,  60,  18,  55,  58,  15,  52,  59,  16,  53,  60,  17,  54,  59,  16,  53,  60,  15,  53,  61,  18,  55,  60,  17,  54,  61,  18,  55,  61,  18,  55,  61,  17,  54,  61,  17,  55,
    62,  17,  55,  62,  17,  55,  62,  18,  55,  63,  19,  56,  63,  19,  56,  64,  19,  56,  65,  20,  57,  65,  18,  56,  65,  20,  57,  64,  20,  57,  64,  20,  56,  65,  21,  58,  67,  22,  58,  67,  20,  59,  67,  21,  60,  68,  22,  61,  68,  21,  61,  70,  23,  62,  68,  21,  61,  70,  24,  62,  71,  24,  62,
    70,  23,  62,  71,  22,  64,  71,  22,  64,  72,  22,  64,  73,  23,  65,  73,  23,  63,  74,  24,  64,  73,  23,  64,  74,  26,  66,  75,  26,  67,  76,  26,  68,  78,  28,  70,  79,  29,  71,  78,  27,  69,  87,  40,  80,  96,  51,  88,  89,  44,  81,  78,  30,  70,  84,  35,  74,  85,  37,  76,  83,  36,  75,
    86,  39,  79,  85,  37,  78,  87,  39,  80,  88,  40,  80,  84,  36,  77,  85,  36,  78,  85,  34,  76,  87,  40,  79,  85,  38,  79,  85,  40,  79,  83,  39,  78,  81,  44,  79, 125,  97, 124,  83,  49,  82,  80,  42,  78,  87,  50,  83,  88,  52,  85,  87,  54,  84,  90,  59,  88,  87,  57,  86,  90,  59,  88,
    88,  58,  86,  91,  62,  88,  94,  68,  93,  98,  73,  98, 105,  83, 106, 106,  87, 110, 113,  95, 116, 117, 104, 124, 121, 112, 131, 124, 118, 136, 127, 124, 139, 134, 136, 150, 148, 151, 164, 158, 162, 172, 158, 165, 174, 157, 165, 175, 163, 172, 181, 169, 178, 187, 172, 181, 189, 171, 181, 188, 175, 187, 193,
   182, 194, 200, 186, 197, 203, 184, 197, 202, 187, 198, 205, 188, 200, 205, 183, 196, 202, 182, 195, 201, 184, 196, 200, 185, 197, 201, 186, 199, 202, 188, 200, 204, 186, 199, 203, 175, 191, 197, 179, 196, 199, 183, 196, 201, 186, 198, 202, 187, 200, 203, 176, 192, 198, 183, 197, 202, 196, 206, 211, 190, 202, 206,
   177, 192, 197, 175, 191, 197, 166, 183, 190, 156, 175, 182, 158, 176, 184, 151, 172, 180, 157, 176, 185, 145, 168, 178, 135, 160, 170, 144, 165, 174, 137, 159, 168, 109, 138, 148, 139, 161, 168, 138, 160, 167, 131, 155, 164, 145, 167, 174, 151, 172, 179, 142, 165, 175, 138, 160, 170, 141, 162, 172, 120, 147, 160,
   127, 153, 163, 125, 152, 159, 124, 149, 157, 130, 151, 162, 120, 143, 155, 120, 144, 156, 115, 140, 154, 117, 143, 157, 116, 143, 156, 104, 134, 147, 115, 141, 153, 108, 135, 147, 116, 144, 154, 117, 147, 159, 131, 157, 169, 134, 161, 172, 169, 184, 191, 115, 145, 158, 157, 176, 183, 138, 162, 172, 153, 175, 185,
   147, 172, 182, 148, 173, 183, 162, 182, 191, 169, 187, 195, 143, 171, 180, 163, 183, 190, 174, 192, 197, 151, 175, 182, 170, 188, 194, 174, 191, 195, 157, 179, 185, 174, 191, 196, 169, 187, 193, 183, 197, 201, 180, 193, 198, 153, 171, 180, 137, 158, 168, 115, 140, 153, 153, 170, 178, 130, 152, 162,  99, 130, 142,
   137, 158, 167,  81, 113, 127, 122, 145, 157, 108, 131, 145, 104, 126, 139, 109, 129, 141, 101, 125, 136, 140, 157, 166, 103, 127, 139, 100, 126, 138, 109, 133, 143, 113, 136, 146, 112, 134, 145, 114, 135, 146,  86, 109, 120,  54,  78,  91,  82, 102, 114,  79,  98, 111,  73,  95, 110,  79, 103, 116,  68,  96, 110,
   115, 139, 151, 133, 155, 165, 120, 144, 155,  99, 123, 137, 102, 125, 140, 134, 151, 165,  98, 118, 134,  86, 110, 128,  65,  82,  97,  61,  78,  98,  48,  69,  88,  66,  86, 103,  70,  89, 105,  71,  90, 107,  64,  85, 102,  66,  87, 105,  50,  73,  94,  56,  75,  96,  52,  73,  94,  49,  73,  93,  59,  80, 101,
    43,  69,  90,  46,  71,  92,  32,  60,  82,  20,  46,  70,  20,  42,  68,  29,  49,  74,  13,  36,  61,  17,  40,  63,  29,  51,  74,  22,  46,  69,  41,  63,  85,  42,  63,  85,  47,  67,  84,  44,  66,  80,  63,  81,  94,  40,  71,  91,  46,  76,  95, 100, 122, 137, 113, 134, 145, 150, 169, 176, 158, 177, 183,
   162, 182, 187, 175, 192, 197, 184, 198, 204, 183, 199, 204, 193, 208, 211, 199, 214, 216, 204, 216, 220, 207, 220, 223, 206, 220, 223, 211, 224, 226, 215, 227, 229, 220, 230, 231, 224, 234, 234, 228, 236, 236, 230, 238, 237, 231, 238, 237, 233, 240, 239, 234, 240, 239, 235, 241, 240, 238, 244, 243, 239, 245, 244,
   241, 247, 246, 241, 247, 246, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 243, 248, 247, 243, 248, 247, 242, 249, 248, 242, 248, 247, 242, 248, 247, 242, 248, 247, 241, 247, 246, 242, 247, 246, 241, 247, 246, 240, 246, 245, 239, 245, 244, 239, 245, 244, 238, 244, 244, 238, 244, 243,
    52,  16,  50,  53,  15,  49,  54,  16,  51,  54,  14,  49,  55,  15,  50,  55,  16,  50,  55,  14,  51,  57,  16,  52,  57,  15,  52,  60,  17,  54,  60,  17,  54,  60,  17,  54,  58,  15,  53,  59,  16,  53,  60,  17,  54,  61,  17,  55,  59,  16,  54,  60,  16,  55,  61,  18,  55,  61,  17,  54,  62,  18,  55,
    62,  18,  55,  61,  18,  55,  63,  19,  56,  63,  18,  55,  63,  19,  56,  65,  19,  57,  64,  18,  56,  65,  20,  57,  65,  20,  57,  65,  21,  58,  65,  21,  57,  66,  22,  59,  66,  21,  59,  67,  22,  59,  67,  22,  60,  67,  23,  62,  68,  22,  61,  69,  23,  62,  70,  23,  63,  71,  24,  63,  70,  23,  62,
    70,  23,  61,  70,  23,  64,  71,  22,  64,  72,  25,  66,  72,  23,  65,  73,  22,  65,  73,  24,  64,  73,  24,  65,  73,  24,  66,  74,  25,  67,  75,  27,  69,  75,  25,  68,  87,  41,  79,  97,  53,  90,  80,  31,  72,  78,  27,  69,  82,  35,  73,  82,  34,  73,  82,  33,  73,  84,  36,  75,  85,  39,  77,
    85,  39,  78,  87,  40,  79,  88,  42,  81,  88,  40,  80,  88,  39,  80,  87,  40,  80,  86,  38,  80,  86,  39,  80,  84,  38,  79,  83,  38,  77,  91,  55,  90, 108,  78, 107,  79,  44,  78,  82,  46,  80,  87,  52,  83,  89,  54,  85,  87,  54,  85,  91,  63,  93,  92,  65,  94,  96,  70,  97,  97,  72,  98,
   100,  76, 101, 101,  78, 102, 101,  80, 103, 104,  86, 107, 110,  94, 113, 115, 100, 120, 122, 109, 127, 128, 118, 138, 131, 126, 142, 137, 136, 152, 142, 144, 157, 149, 152, 163, 155, 161, 171, 159, 166, 175, 164, 172, 181, 172, 180, 188, 172, 182, 190, 175, 185, 192, 178, 188, 194, 179, 190, 197, 180, 192, 198,
   183, 195, 201, 184, 196, 202, 187, 199, 205, 186, 199, 205, 188, 199, 205, 186, 199, 205, 181, 195, 201, 181, 195, 200, 187, 199, 203, 186, 199, 202, 190, 202, 206, 188, 199, 204, 185, 198, 203, 182, 196, 202, 186, 201, 204, 181, 196, 202, 188, 200, 206, 189, 201, 206, 187, 200, 206, 188, 201, 205, 178, 193, 199,
   183, 196, 201, 172, 187, 194, 156, 176, 183, 164, 181, 188, 154, 174, 181, 148, 169, 178, 144, 166, 175, 144, 165, 174, 132, 156, 168, 130, 154, 165, 132, 156, 165, 114, 141, 150, 131, 153, 161, 137, 158, 165, 134, 158, 165, 142, 165, 172, 150, 171, 177, 121, 149, 161, 122, 150, 162, 142, 162, 173, 137, 159, 168,
   121, 148, 158, 124, 150, 159, 125, 150, 158, 120, 143, 154, 110, 137, 146, 117, 142, 151, 112, 138, 148, 114, 142, 153, 110, 138, 150, 116, 143, 154, 110, 137, 149, 114, 141, 152, 119, 145, 156, 100, 135, 151, 138, 162, 174, 120, 151, 164, 158, 178, 188, 102, 137, 151, 172, 187, 194, 143, 166, 177, 137, 163, 175,
   161, 180, 190, 148, 172, 182, 171, 189, 196, 158, 181, 187, 154, 179, 187, 144, 171, 181, 182, 197, 202, 154, 178, 184, 177, 193, 197, 168, 187, 192, 164, 185, 190, 162, 183, 189, 176, 193, 197, 170, 187, 193, 179, 192, 197, 125, 152, 163, 160, 177, 183, 142, 163, 171, 129, 153, 163, 132, 156, 165, 105, 134, 146,
   102, 129, 142, 138, 158, 167, 126, 149, 159, 125, 148, 158,  82, 110, 123, 104, 127, 137, 143, 160, 169,  92, 119, 131,  88, 116, 128, 134, 153, 163, 118, 142, 152, 106, 132, 145, 123, 144, 154, 101, 125, 136,  80, 106, 117, 100, 119, 127,  73,  94, 103, 113, 130, 137,  82, 104, 113,  70,  95, 108,  85, 109, 121,
    49,  80,  93, 115, 136, 146, 149, 167, 175, 146, 162, 173,  89, 116, 130,  74, 100, 114, 100, 122, 136, 114, 132, 147,  64,  88, 106,  29,  61,  83,  61,  84, 102,  57,  78,  96,  62,  83, 101,  60,  80,  97,  76,  95, 111,  68,  89, 108,  61,  83, 104,  40,  61,  83,  43,  64,  87,  52,  76,  97,  37,  63,  85,
    43,  68,  89,  44,  67,  88,  44,  65,  87,  39,  57,  79,  33,  52,  76,  26,  45,  71,  19,  41,  65,  16,  40,  63,  40,  60,  81,  36,  57,  79,  41,  62,  84,  37,  59,  81,  31,  55,  73,  42,  63,  78,  34,  63,  78,  42,  72,  92,  53,  81, 100,  99, 120, 134, 134, 152, 160, 139, 163, 168, 153, 173, 179,
   165, 184, 189, 180, 196, 201, 184, 199, 204, 194, 208, 212, 195, 210, 213, 201, 215, 218, 199, 214, 219, 206, 219, 223, 212, 223, 227, 211, 224, 227, 215, 227, 229, 216, 227, 229, 219, 230, 231, 223, 232, 232, 228, 236, 236, 231, 238, 237, 233, 239, 238, 236, 242, 241, 237, 243, 242, 238, 244, 243, 238, 244, 244,
   240, 246, 245, 241, 247, 246, 242, 248, 247, 242, 249, 248, 242, 248, 247, 243, 249, 248, 242, 248, 247, 244, 249, 248, 243, 248, 247, 243, 249, 248, 243, 249, 248, 243, 248, 247, 242, 248, 247, 241, 247, 246, 241, 247, 246, 240, 246, 245, 239, 245, 244, 239, 245, 244, 239, 245, 244, 238, 244, 243, 239, 245, 244,
    54,  19,  50,  52,  15,  50,  54,  16,  50,  55,  15,  50,  56,  14,  51,  57,  15,  53,  55,  14,  51,  57,  15,  52,  58,  16,  53,  58,  15,  52,  58,  15,  53,  59,  16,  53,  60,  17,  54,  60,  17,  54,  60,  17,  54,  60,  16,  54,  61,  17,  55,  62,  18,  55,  59,  15,  53,  60,  16,  54,  61,  17,  55,
    61,  17,  54,  62,  18,  55,  63,  19,  56,  62,  19,  56,  62,  17,  56,  64,  17,  56,  63,  17,  57,  66,  21,  59,  66,  22,  59,  65,  20,  57,  65,  21,  58,  66,  22,  59,  65,  21,  58,  67,  23,  60,  65,  21,  59,  67,  23,  60,  68,  21,  61,  68,  22,  61,  69,  24,  63,  68,  24,  63,  68,  23,  63,
    70,  24,  62,  70,  23,  63,  71,  23,  65,  71,  22,  64,  70,  22,  64,  71,  24,  66,  71,  21,  63,  71,  23,  65,  71,  23,  65,  73,  25,  67,  72,  26,  68,  95,  53,  90,  92,  48,  87,  76,  26,  68,  78,  30,  71,  78,  30,  71,  81,  34,  73,  79,  33,  72,  81,  35,  74,  83,  37,  76,  83,  38,  78,
    87,  42,  81,  87,  40,  81,  89,  43,  82,  90,  43,  82,  90,  44,  83,  89,  44,  82,  86,  45,  84,  83,  42,  82,  81,  42,  80,  96,  62,  94, 100,  66,  98,  82,  46,  81,  83,  48,  82,  84,  50,  83,  89,  57,  87,  88,  57,  89,  94,  66,  95,  95,  70,  98,  99,  76, 102,  99,  79, 102, 107,  86, 109,
   111,  93, 114, 115,  98, 120, 115, 102, 121, 117, 106, 125, 117, 109, 126, 123, 117, 134, 132, 129, 144, 136, 135, 150, 143, 143, 157, 148, 150, 164, 153, 158, 169, 159, 165, 175, 163, 170, 180, 170, 178, 186, 173, 183, 190, 178, 188, 195, 182, 192, 199, 183, 194, 199, 184, 196, 200, 184, 196, 202, 184, 196, 202,
   179, 193, 199, 180, 194, 200, 186, 199, 205, 183, 197, 203, 183, 197, 203, 187, 199, 205, 185, 198, 202, 181, 195, 201, 184, 197, 201, 190, 201, 206, 191, 203, 207, 186, 199, 203, 191, 202, 206, 184, 197, 203, 187, 200, 205, 180, 196, 202, 188, 202, 206, 193, 206, 210, 186, 200, 205, 184, 197, 203, 169, 187, 192,
   169, 184, 192, 170, 184, 192, 166, 183, 189, 157, 176, 182, 156, 175, 183, 141, 164, 172, 121, 149, 161, 130, 154, 165, 132, 155, 167, 117, 144, 157, 130, 154, 163, 111, 138, 149, 131, 152, 160, 137, 157, 164, 136, 159, 166, 135, 160, 167, 132, 158, 167, 119, 150, 160, 112, 142, 154, 121, 147, 158, 110, 139, 150,
   118, 145, 154, 118, 143, 152, 133, 154, 163, 130, 150, 159, 107, 134, 144, 107, 133, 144, 113, 139, 149, 101, 130, 140,  97, 127, 139, 115, 141, 152, 104, 132, 145, 107, 135, 147, 111, 139, 152, 117, 147, 161, 106, 140, 156, 143, 166, 178, 174, 189, 196, 123, 154, 167, 155, 175, 184, 135, 161, 173, 149, 172, 182,
   155, 177, 185, 131, 161, 173, 173, 190, 196, 154, 177, 186, 175, 192, 199, 146, 172, 183, 173, 190, 196, 171, 190, 195, 174, 192, 197, 168, 188, 193, 173, 191, 196, 155, 177, 185, 166, 186, 191, 181, 195, 200, 172, 187, 193, 182, 194, 199, 112, 143, 155, 152, 171, 178, 137, 161, 170, 133, 158, 166, 124, 149, 159,
   115, 142, 152, 153, 168, 176, 113, 138, 148, 110, 135, 146, 119, 142, 151, 122, 145, 153, 107, 132, 142, 109, 134, 144, 134, 153, 163, 115, 140, 150, 121, 145, 156, 126, 148, 159, 100, 127, 140, 111, 133, 144,  77, 107, 117, 131, 149, 157, 126, 141, 147,  85, 103, 112,  66,  87,  97,  64,  86,  97,  69,  95, 106,
   110, 131, 141,  76, 102, 114,  59,  89, 103, 107, 129, 141, 159, 179, 189, 155, 170, 178, 117, 135, 148,  87, 109, 119,  84, 110, 123,  98, 122, 134,  98, 118, 130,  88, 109, 124,  63,  88, 105,  86, 109, 125,  84, 110, 126,  82, 107, 126,  76, 100, 119,  77,  99, 119,  73,  96, 115,  54,  78,  99,  38,  63,  84,
    35,  61,  84,  14,  44,  66,   6,  34,  57,  44,  62,  83,  60,  75,  93,  39,  57,  76,  51,  68,  86,  69,  84, 101,  65,  80,  98,  36,  57,  79,  30,  54,  76,  50,  69,  90,  40,  62,  80,  32,  54,  74,  32,  62,  82,  44,  74,  94,  75,  99, 116, 104, 128, 138, 131, 150, 156, 141, 166, 172, 144, 168, 174,
   154, 177, 183, 164, 184, 191, 177, 195, 200, 186, 201, 206, 196, 209, 213, 198, 212, 216, 199, 215, 218, 201, 215, 221, 203, 217, 222, 207, 220, 224, 208, 222, 225, 212, 225, 227, 217, 229, 231, 220, 230, 229, 223, 233, 233, 227, 235, 234, 229, 237, 236, 234, 240, 239, 235, 241, 240, 238, 244, 243, 239, 245, 244,
   239, 245, 244, 240, 246, 245, 241, 247, 246, 243, 248, 247, 244, 249, 248, 243, 248, 247, 244, 249, 248, 243, 248, 247, 243, 248, 247, 242, 248, 247, 242, 248, 247, 243, 248, 247, 243, 248, 247, 241, 247, 246, 239, 245, 244, 240, 246, 245, 240, 246, 245, 240, 246, 245, 239, 245, 244, 239, 245, 244, 238, 245, 244,
    51,  15,  49,  53,  15,  49,  51,  14,  48,  54,  16,  50,  55,  14,  51,  54,  13,  50,  55,  15,  51,  57,  17,  53,  56,  15,  52,  59,  17,  54,  58,  15,  52,  58,  15,  52,  59,  17,  54,  58,  16,  53,  59,  18,  55,  60,  17,  54,  60,  17,  55,  60,  17,  54,  61,  18,  56,  61,  18,  55,  62,  17,  55,
    62,  19,  56,  62,  18,  55,  63,  19,  56,  61,  18,  55,  64,  19,  56,  63,  19,  57,  63,  18,  56,  64,  19,  58,  65,  20,  58,  66,  21,  60,  68,  23,  61,  67,  23,  61,  66,  22,  59,  67,  23,  60,  67,  23,  60,  67,  23,  60,  68,  22,  60,  68,  23,  62,  68,  24,  62,  67,  22,  61,  70,  25,  63,
    69,  23,  63,  71,  24,  64,  70,  21,  63,  70,  22,  63,  70,  21,  63,  72,  25,  64,  72,  25,  65,  73,  25,  67,  73,  27,  68,  72,  25,  67,  74,  28,  69,  75,  28,  69,  76,  29,  70,  76,  28,  70,  79,  31,  73,  78,  31,  71,  78,  31,  71,  78,  32,  71,  80,  35,  74,  82,  37,  77,  85,  42,  81,
    85,  41,  80,  87,  44,  82,  91,  48,  86,  90,  47,  85,  89,  47,  85,  87,  46,  84,  86,  49,  86,  87,  54,  89, 115,  88, 117, 106,  78, 107, 109,  79, 109, 115,  86, 115, 119,  92, 120, 122,  95, 122, 123, 100, 125, 129, 106, 130, 130, 110, 134, 133, 115, 137, 131, 115, 134, 128, 114, 133, 127, 115, 133,
   127, 117, 135, 130, 122, 139, 131, 124, 141, 134, 129, 145, 138, 137, 152, 141, 142, 155, 144, 147, 159, 151, 154, 167, 157, 162, 173, 161, 167, 177, 164, 171, 181, 167, 174, 183, 175, 183, 190, 179, 187, 194, 183, 192, 198, 185, 196, 202, 186, 196, 202, 187, 198, 203, 189, 200, 205, 186, 199, 205, 185, 198, 204,
   182, 196, 202, 179, 193, 199, 181, 195, 201, 187, 200, 205, 185, 198, 204, 184, 197, 203, 187, 198, 203, 184, 198, 204, 181, 195, 201, 188, 201, 207, 193, 205, 209, 189, 200, 205, 185, 198, 203, 186, 200, 204, 188, 200, 205, 181, 196, 202, 184, 198, 204, 187, 201, 205, 181, 196, 202, 181, 195, 200, 159, 179, 187,
   155, 174, 182, 164, 181, 188, 164, 181, 188, 147, 169, 176, 152, 172, 179, 140, 161, 171, 116, 143, 156, 127, 151, 162, 116, 143, 156,  97, 127, 141, 118, 143, 154,  97, 126, 138, 121, 145, 154, 137, 157, 164, 119, 146, 155, 134, 159, 167, 132, 157, 167, 118, 147, 158, 126, 152, 162, 118, 142, 152, 119, 142, 152,
   122, 144, 153, 119, 142, 152, 141, 159, 167, 116, 140, 151, 122, 144, 154, 104, 132, 143, 109, 136, 145,  98, 126, 137, 106, 133, 144,  95, 125, 137, 109, 136, 148, 113, 139, 152, 111, 139, 153, 114, 143, 157, 105, 137, 153, 142, 165, 178, 164, 182, 190, 139, 165, 175, 163, 181, 189, 160, 180, 188, 123, 154, 166,
   160, 180, 189, 142, 169, 178, 179, 194, 200, 143, 171, 179, 158, 180, 189, 118, 153, 166, 179, 194, 200, 185, 199, 203, 161, 184, 190, 179, 196, 200, 175, 192, 198, 152, 176, 183, 172, 190, 195, 172, 189, 195, 166, 185, 192, 177, 192, 198, 136, 161, 170, 150, 170, 179, 159, 177, 184, 154, 175, 182, 121, 151, 160,
   138, 159, 167, 125, 148, 157, 123, 147, 156, 119, 143, 152, 147, 164, 171,  97, 125, 135, 123, 145, 154, 110, 136, 145, 115, 140, 151, 132, 152, 163, 112, 138, 149, 134, 154, 163, 129, 151, 161, 105, 130, 140, 146, 162, 169, 116, 136, 144,  63,  86,  95,  71,  90,  99,  72,  91, 101,  98, 117, 125,  95, 117, 126,
   101, 124, 133, 105, 127, 137,  50,  78,  92,  78,  98, 112,  40,  63,  78,  77,  97, 111, 148, 163, 171, 177, 190, 196, 158, 175, 183, 139, 157, 167, 103, 126, 138,  71,  98, 113,  98, 123, 136,  77, 102, 119,  81, 105, 121,  94, 120, 136, 100, 123, 140,  87, 110, 128, 103, 119, 136, 102, 121, 138,  98, 117, 134,
    90, 105, 124,  63,  84, 104,  48,  71,  91,  33,  56,  77,  61,  79,  97,  66,  82,  99,  48,  65,  84,  75,  90, 104, 102, 115, 127, 112, 123, 138,  47,  67,  88,  44,  64,  86,  28,  53,  73,  38,  61,  81,  27,  58,  79,  47,  74,  92, 125, 142, 154,  98, 122, 129, 132, 153, 159, 152, 175, 181, 161, 180, 187,
   165, 185, 190, 166, 187, 192, 173, 192, 199, 181, 199, 205, 192, 207, 210, 199, 212, 216, 206, 217, 221, 201, 216, 220, 199, 215, 221, 197, 214, 220, 201, 218, 221, 210, 223, 225, 212, 224, 226, 216, 228, 229, 222, 232, 232, 227, 235, 235, 228, 236, 236, 230, 239, 239, 234, 240, 239, 236, 242, 241, 237, 243, 242,
   239, 245, 244, 240, 246, 245, 242, 247, 246, 241, 247, 247, 243, 249, 248, 243, 248, 247, 243, 248, 247, 244, 249, 248, 243, 248, 247, 243, 249, 248, 243, 248, 247, 242, 247, 246, 243, 248, 247, 242, 247, 246, 240, 247, 246, 240, 246, 245, 239, 245, 244, 240, 246, 245, 240, 246, 245, 239, 244, 243, 238, 244, 243,
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   110, 127, 144, 129, 149, 164, 115, 139, 154, 111, 133, 147,  85, 104, 121,  66,  83,  99,  85,  98, 113,  71,  87, 100, 103, 117, 127, 108, 122, 132,  81,  96, 112,  41,  62,  82,  36,  59,  80,  28,  56,  76,  30,  60,  81,  47,  75,  93, 121, 139, 147, 105, 128, 135, 145, 163, 170, 140, 166, 173, 150, 173, 180,
   165, 185, 191, 180, 195, 201, 184, 199, 204, 182, 198, 204, 192, 207, 210, 196, 211, 214, 194, 209, 215, 198, 211, 216, 195, 212, 218, 196, 213, 219, 198, 215, 220, 204, 219, 222, 211, 223, 226, 215, 226, 229, 218, 229, 230, 224, 233, 233, 228, 236, 236, 231, 239, 239, 233, 240, 240, 235, 241, 240, 237, 243, 242,
   237, 243, 242, 239, 245, 244, 240, 246, 245, 241, 247, 246, 242, 247, 246, 242, 247, 246, 242, 248, 247, 242, 248, 247, 243, 248, 247, 243, 248, 247, 243, 248, 247, 241, 247, 246, 241, 248, 247, 241, 247, 246, 240, 246, 245, 241, 246, 245, 241, 247, 246, 239, 245, 244, 239, 245, 244, 239, 245, 244, 238, 244, 243,
    48,  14,  48,  52,  17,  49,  52,  15,  49,  52,  14,  48,  55,  16,  51,  54,  13,  50,  56,  15,  52,  56,  15,  52,  58,  16,  51,  57,  15,  52,  59,  16,  53,  57,  14,  51,  58,  15,  52,  57,  16,  53,  59,  16,  53,  58,  15,  53,  60,  16,  54,  59,  15,  54,  59,  15,  54,  60,  15,  54,  61,  17,  55,
    63,  20,  56,  61,  18,  55,  62,  17,  56,  62,  18,  56,  61,  16,  55,  63,  18,  56,  64,  20,  57,  64,  20,  57,  65,  20,  59,  65,  20,  59,  67,  22,  61,  69,  24,  62,  65,  20,  59,  66,  22,  59,  67,  24,  61,  67,  24,  61,  68,  25,  62,  67,  23,  60,  67,  23,  60,  70,  28,  64,  69,  25,  61,
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   152, 153, 164, 160, 162, 172, 162, 167, 177, 169, 176, 185, 174, 182, 190, 177, 185, 194, 181, 190, 198, 183, 193, 200, 183, 194, 200, 186, 195, 200, 186, 196, 201, 188, 199, 204, 190, 201, 206, 191, 202, 208, 192, 204, 210, 194, 205, 212, 194, 206, 212, 195, 207, 212, 190, 203, 209, 187, 201, 207, 188, 202, 208,
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   162, 181, 188, 164, 184, 191, 175, 193, 199, 192, 205, 210, 190, 206, 210, 193, 209, 212, 196, 211, 216, 195, 210, 215, 192, 210, 215, 194, 213, 218, 199, 214, 221, 205, 219, 222, 207, 221, 222, 211, 224, 225, 219, 229, 231, 221, 231, 231, 222, 232, 232, 228, 236, 236, 230, 238, 238, 235, 241, 240, 236, 242, 241,
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   163, 168, 177, 170, 176, 185, 177, 183, 192, 182, 189, 198, 183, 191, 200, 185, 194, 203, 187, 197, 204, 189, 200, 206, 191, 202, 206, 194, 205, 209, 195, 206, 210, 195, 206, 210, 195, 206, 210, 196, 207, 211, 198, 209, 216, 196, 208, 214, 196, 208, 214, 195, 208, 214, 195, 208, 214, 191, 205, 211, 188, 202, 208,
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   115, 138, 149, 133, 153, 161, 103, 130, 142, 135, 154, 163, 110, 135, 145, 118, 140, 151, 115, 139, 150, 107, 133, 146, 100, 128, 141,  84, 114, 127,  84, 113, 126,  80, 111, 124,  96, 124, 138, 100, 128, 143, 119, 148, 161, 144, 167, 179, 131, 159, 171, 159, 178, 187, 162, 180, 189, 143, 168, 179, 130, 160, 172,
   148, 173, 181, 153, 176, 185, 156, 177, 187, 182, 195, 202, 115, 152, 167, 157, 179, 188, 149, 175, 185, 164, 183, 192, 173, 191, 197, 162, 183, 191, 185, 199, 204, 167, 186, 193, 147, 173, 182, 172, 190, 196, 164, 184, 190, 155, 177, 185, 161, 181, 187, 143, 167, 175, 164, 182, 188, 140, 164, 174, 154, 174, 181,
   144, 165, 173, 119, 146, 157, 144, 166, 173, 128, 154, 163, 143, 166, 174, 145, 168, 174, 108, 142, 151, 140, 163, 171, 136, 161, 171, 121, 149, 159, 142, 163, 172, 126, 150, 160, 126, 147, 156, 123, 143, 153, 120, 139, 149, 140, 157, 164, 141, 157, 165, 104, 127, 135, 129, 148, 156, 116, 137, 145,  98, 120, 130,
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   169, 187, 193, 177, 193, 200, 178, 195, 201, 182, 197, 203, 182, 201, 206, 188, 206, 210, 194, 210, 216, 196, 211, 216, 194, 210, 216, 195, 212, 218, 194, 212, 217, 200, 214, 219, 206, 220, 224, 213, 225, 228, 215, 227, 229, 220, 230, 231, 223, 233, 233, 225, 234, 234, 227, 235, 235, 231, 238, 239, 235, 241, 240,
   237, 243, 242, 238, 244, 243, 239, 245, 244, 239, 245, 244, 240, 246, 245, 241, 247, 246, 242, 247, 246, 241, 247, 246, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 242, 248, 247, 243, 248, 247, 243, 248, 247, 241, 246, 245, 241, 246, 245, 240, 245, 244, 239, 245, 244, 239, 245, 244, 238, 244, 243,
    49,  16,  47,  51,  15,  49,  51,  15,  49,  52,  15,  48,  53,  16,  50,  53,  15,  49,  53,  16,  50,  55,  15,  50,  55,  15,  50,  57,  17,  52,  56,  15,  51,  57,  16,  53,  58,  16,  53,  58,  15,  52,  58,  16,  53,  57,  14,  52,  60,  18,  55,  58,  15,  52,  60,  17,  53,  59,  16,  54,  61,  18,  55,
    60,  17,  54,  61,  18,  55,  61,  17,  55,  62,  18,  56,  61,  18,  55,  64,  20,  56,  64,  20,  57,  64,  20,  57,  65,  21,  58,  65,  21,  58,  65,  21,  59,  66,  24,  60,  66,  23,  60,  65,  23,  60,  68,  26,  62,  67,  25,  61,  68,  25,  62,  69,  26,  63,  71,  28,  64,  71,  29,  64,  71,  30,  65,
    71,  29,  63,  73,  29,  65,  73,  29,  66,  72,  27,  65,  71,  25,  64,  71,  25,  64,  71,  24,  63,  71,  23,  63,  73,  26,  65,  74,  27,  66,  73,  25,  66,  73,  25,  67,  73,  27,  69,  84,  40,  79,  97,  59,  94,  95,  59,  92,  91,  55,  87,  83,  43,  79,  78,  40,  75,  79,  40,  75,  80,  44,  78,
    85,  51,  85,  88,  55,  87,  90,  60,  90, 108,  85, 110, 116,  94, 118, 102,  81, 105, 104,  84, 107, 107,  88, 110, 111,  95, 118, 111,  97, 120, 117, 104, 126, 117, 105, 126, 118, 106, 128, 119, 108, 129, 119, 111, 131, 125, 119, 138, 128, 123, 141, 134, 130, 147, 143, 144, 156, 153, 155, 166, 161, 168, 177,
   170, 177, 186, 179, 187, 195, 186, 194, 201, 190, 199, 206, 193, 202, 210, 195, 205, 212, 194, 206, 212, 195, 207, 213, 196, 208, 213, 200, 211, 215, 201, 212, 216, 200, 212, 216, 200, 212, 216, 199, 211, 215, 199, 210, 217, 198, 211, 217, 198, 211, 216, 196, 210, 216, 195, 209, 215, 193, 207, 213, 189, 203, 209,
   187, 201, 207, 181, 196, 202, 178, 194, 200, 172, 190, 196, 168, 187, 192, 172, 190, 195, 183, 199, 203, 184, 198, 202, 181, 195, 201, 181, 196, 202, 183, 198, 204, 179, 195, 201, 182, 197, 203, 167, 186, 192, 181, 196, 201, 174, 189, 195, 174, 189, 194, 168, 185, 191, 148, 169, 176, 142, 160, 169, 136, 156, 164,
   112, 138, 149, 130, 153, 162, 138, 160, 169, 131, 153, 162, 106, 133, 144,  97, 125, 136, 103, 129, 141,  96, 123, 135, 112, 135, 146,  94, 117, 128, 106, 128, 135, 103, 125, 134, 121, 142, 151, 106, 132, 145, 111, 137, 151, 110, 138, 152, 117, 142, 155, 104, 128, 142, 119, 140, 151, 114, 137, 146, 110, 134, 144,
   113, 137, 147, 116, 140, 150, 107, 132, 143, 131, 151, 160, 124, 146, 156,  87, 115, 128, 128, 149, 160,  93, 122, 135,  95, 124, 136,  71, 103, 116,  78, 109, 121,  95, 123, 135,  83, 113, 127,  89, 119, 134, 119, 149, 162, 128, 155, 169, 138, 162, 174, 145, 168, 179, 159, 179, 188, 143, 169, 180, 148, 173, 182,
   156, 177, 186, 147, 172, 181, 150, 173, 184, 168, 187, 195, 154, 178, 187, 138, 166, 178, 154, 176, 186, 142, 168, 179, 175, 192, 199, 167, 186, 193, 172, 190, 197, 180, 196, 202, 150, 175, 183, 153, 176, 185, 184, 198, 203, 162, 182, 189, 162, 182, 187, 156, 176, 184, 150, 172, 180, 156, 175, 183, 151, 170, 180,
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   141, 157, 164, 118, 136, 146, 101, 122, 133,  86, 109, 122, 102, 122, 135,  54,  78,  93,  63,  73,  86,  62,  80,  93,  63,  85, 101, 115, 134, 147,  82, 106, 122,  89, 111, 127,  83, 106, 121,  71,  94, 109,  78, 100, 114,  67,  89, 103,  76,  96, 109,  74,  94, 108,  44,  68,  85,  60,  80,  97,  37,  61,  81,
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   165, 183, 190, 167, 186, 193, 172, 190, 197, 179, 197, 202, 188, 204, 209, 195, 209, 215, 196, 211, 216, 200, 213, 218, 197, 213, 218, 198, 214, 219, 195, 212, 218, 197, 214, 220, 202, 216, 222, 207, 220, 224, 213, 225, 228, 220, 229, 232, 221, 231, 232, 225, 234, 234, 227, 235, 235, 229, 237, 237, 232, 240, 239,
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    84,  50,  83,  88,  56,  87, 115,  93, 117, 103,  82, 107, 103,  82, 106, 109,  91, 114, 117, 102, 122, 118, 105, 126, 124, 114, 134, 128, 120, 139, 130, 124, 145, 135, 130, 147, 135, 132, 149, 138, 136, 152, 140, 140, 155, 141, 141, 156, 145, 147, 162, 150, 156, 168, 155, 161, 172, 162, 171, 179, 168, 178, 187,
   177, 187, 195, 183, 194, 201, 190, 201, 207, 193, 204, 211, 194, 206, 213, 197, 209, 216, 198, 209, 215, 199, 211, 217, 199, 212, 218, 200, 214, 220, 202, 214, 220, 203, 215, 221, 203, 215, 220, 203, 215, 220, 201, 214, 218, 198, 213, 217, 195, 208, 215, 194, 208, 214, 195, 209, 215, 194, 208, 214, 190, 203, 209,
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   148, 173, 183, 143, 168, 179, 161, 181, 190, 158, 180, 188, 156, 179, 188, 151, 175, 186, 164, 183, 193, 155, 177, 188, 157, 179, 188, 150, 174, 185, 163, 183, 192, 180, 195, 202, 174, 192, 199, 156, 179, 187, 177, 193, 199, 166, 185, 191, 169, 187, 193, 158, 178, 185, 164, 182, 190, 150, 170, 179, 154, 173, 181,
   135, 160, 170, 152, 172, 178, 147, 169, 177, 151, 172, 180, 147, 168, 179, 139, 164, 173, 132, 159, 169, 136, 160, 171, 135, 159, 170, 132, 155, 166, 145, 166, 173, 148, 168, 176, 135, 158, 166, 127, 148, 158, 136, 156, 166, 137, 158, 168, 140, 160, 168, 160, 175, 182, 155, 172, 177, 152, 168, 174, 129, 147, 156,
   148, 164, 172, 123, 142, 150, 125, 141, 148,  85, 107, 120,  83, 108, 120, 107, 125, 137,  43,  63,  79,  90, 106, 120,  80, 100, 115,  87, 110, 126,  89, 112, 128,  94, 116, 131,  71,  96, 111,  77, 100, 115,  47,  74,  89,  63,  87, 101,  76,  97, 111,  37,  64,  81,  45,  69,  86,  42,  63,  80,  41,  62,  81,
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    59,  16,  53,  61,  18,  55,  62,  18,  55,  62,  19,  56,  62,  18,  55,  62,  19,  55,  63,  20,  56,  64,  19,  57,  65,  21,  58,  64,  20,  57,  66,  22,  58,  65,  23,  58,  67,  25,  60,  66,  25,  60,  68,  26,  61,  67,  25,  61,  68,  25,  62,  70,  30,  67,  73,  32,  69,  74,  34,  70,  74,  36,  72,
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   183, 195, 202, 188, 201, 207, 193, 205, 211, 197, 209, 215, 200, 211, 218, 201, 213, 219, 202, 214, 220, 202, 216, 222, 202, 216, 222, 203, 216, 222, 202, 216, 222, 203, 216, 222, 202, 216, 222, 201, 215, 221, 200, 214, 220, 200, 214, 220, 198, 213, 219, 195, 211, 217, 190, 206, 212, 190, 207, 213, 188, 204, 210,
   187, 201, 207, 183, 199, 205, 179, 195, 201, 174, 192, 198, 173, 191, 197, 172, 190, 196, 170, 188, 194, 177, 193, 199, 177, 193, 199, 184, 199, 205, 174, 191, 197, 181, 197, 202, 173, 190, 196, 185, 199, 204, 163, 182, 188, 170, 187, 194, 155, 175, 181, 145, 167, 176, 131, 155, 164, 129, 148, 155, 108, 130, 138,
   116, 137, 145, 123, 143, 150, 121, 142, 152, 101, 126, 137, 105, 126, 138,  87, 111, 122,  95, 116, 126,  72,  98, 108, 105, 125, 134,  98, 119, 127, 110, 130, 137, 104, 126, 133, 112, 133, 143, 113, 135, 145,  91, 118, 128, 104, 128, 138, 108, 131, 141,  91, 117, 128, 100, 124, 136, 119, 141, 149, 110, 134, 144,
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   158, 180, 189, 154, 176, 186, 146, 170, 182, 133, 164, 175, 165, 185, 193, 162, 183, 192, 145, 170, 183, 154, 176, 186, 160, 181, 191, 150, 174, 185, 158, 181, 190, 179, 194, 202, 164, 184, 193, 151, 175, 185, 161, 181, 190, 175, 192, 198, 164, 184, 191, 163, 182, 190, 166, 183, 191, 146, 169, 178, 147, 169, 177,
   141, 165, 174, 168, 184, 190, 130, 157, 168, 153, 173, 182, 146, 170, 179, 125, 154, 165, 136, 161, 172, 136, 161, 171, 134, 158, 169, 140, 164, 172, 149, 169, 176, 140, 163, 170, 121, 148, 156, 142, 162, 169, 141, 161, 170, 154, 171, 179, 150, 167, 174, 140, 160, 168, 129, 152, 160, 108, 133, 143, 134, 153, 160,
   122, 143, 150, 117, 138, 146,  96, 117, 126, 107, 125, 131,  62,  87,  96, 118, 137, 145, 157, 170, 180, 125, 146, 157, 122, 143, 156,  95, 120, 135,  87, 112, 127,  71,  99, 115,  63,  92, 108, 103, 123, 136,  57,  83, 100,  84, 104, 119,  73,  94, 109,  44,  69,  86,  55,  76,  93,  45,  65,  83,  50,  67,  85,
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   163, 182, 189, 176, 192, 199, 183, 199, 204, 179, 196, 203, 188, 202, 208, 189, 204, 211, 196, 210, 216, 197, 212, 218, 199, 213, 219, 201, 214, 220, 199, 214, 220, 202, 217, 222, 206, 221, 224, 206, 221, 224, 211, 223, 226, 213, 226, 228, 215, 227, 229, 219, 230, 231, 222, 232, 232, 228, 236, 236, 233, 238, 238,
   234, 239, 239, 235, 240, 240, 237, 243, 242, 238, 244, 243, 239, 245, 244, 239, 245, 244, 240, 246, 245, 241, 247, 246, 242, 247, 246, 241, 247, 246, 242, 248, 247, 243, 248, 247, 243, 248, 247, 242, 247, 246, 241, 247, 246, 241, 247, 246, 240, 246, 245, 240, 246, 245, 239, 245, 244, 239, 245, 244, 238, 244, 243,
    48,  14,  45,  50,  16,  47,  51,  18,  49,  49,  14,  46,  51,  15,  48,  53,  16,  48,  52,  15,  49,  53,  16,  49,  53,  16,  49,  55,  15,  50,  55,  15,  50,  55,  16,  50,  56,  16,  51,  56,  16,  51,  57,  17,  52,  58,  18,  52,  57,  17,  53,  58,  16,  53,  60,  18,  53,  60,  17,  52,  60,  17,  53,
    61,  18,  54,  61,  18,  55,  61,  18,  55,  62,  18,  55,  63,  20,  57,  62,  19,  56,  62,  19,  56,  65,  21,  58,  64,  20,  57,  65,  21,  57,  65,  21,  57,  67,  26,  60,  67,  25,  60,  67,  24,  60,  67,  25,  60,  69,  27,  61,  71,  30,  66,  70,  29,  66,  72,  32,  69,  74,  36,  72,  74,  36,  72,
    78,  41,  75,  77,  42,  76,  80,  45,  77,  82,  46,  79,  80,  43,  77,  80,  44,  78,  88,  56,  87, 104,  76, 105,  95,  64,  95,  73,  39,  75,  72,  35,  72,  74,  36,  72,  77,  38,  75,  75,  36,  73,  76,  37,  74,  76,  38,  74,  77,  40,  75,  79,  39,  76,  81,  44,  79,  79,  44,  78,  90,  62,  93,
   106,  85, 110,  89,  68,  93, 101,  82, 105, 110,  94, 115, 118, 104, 124, 127, 118, 138, 137, 131, 148, 142, 140, 156, 150, 151, 165, 156, 157, 172, 163, 164, 177, 166, 170, 182, 170, 176, 187, 171, 178, 188, 174, 181, 192, 175, 184, 194, 176, 186, 196, 178, 188, 198, 177, 189, 198, 182, 194, 202, 184, 197, 205,
   187, 200, 208, 190, 205, 212, 194, 209, 215, 197, 211, 217, 199, 214, 220, 202, 215, 221, 201, 215, 221, 202, 216, 222, 203, 217, 223, 202, 216, 222, 203, 217, 223, 202, 216, 222, 202, 217, 223, 202, 216, 222, 200, 216, 222, 197, 213, 219, 195, 211, 217, 193, 209, 215, 191, 207, 213, 188, 206, 212, 187, 204, 209,
   185, 201, 207, 182, 199, 206, 179, 196, 203, 177, 193, 200, 174, 190, 197, 171, 189, 196, 168, 186, 193, 171, 188, 195, 174, 191, 198, 174, 190, 198, 179, 194, 201, 176, 192, 200, 181, 195, 203, 164, 182, 191, 159, 179, 188, 159, 178, 188, 153, 172, 181, 130, 153, 165, 119, 143, 153, 124, 145, 151, 124, 143, 148,
   105, 127, 134, 121, 143, 150, 117, 138, 147, 112, 134, 144,  85, 110, 121,  86, 110, 119, 100, 121, 131,  76,  99, 110, 116, 136, 143,  94, 114, 125, 109, 128, 136, 105, 127, 134, 113, 133, 142,  95, 118, 127,  98, 121, 128, 103, 125, 131, 107, 129, 136, 109, 132, 141, 117, 138, 148, 108, 132, 143, 101, 126, 137,
   112, 135, 146, 107, 132, 144,  82, 111, 125, 114, 139, 148, 100, 126, 137,  84, 111, 124,  91, 116, 125,  74,  99, 110,  70,  95, 108,  64,  92, 106,  78, 105, 119,  89, 115, 129,  73, 103, 115,  97, 127, 138, 115, 143, 154, 106, 139, 153, 108, 142, 158, 112, 146, 162, 149, 171, 182, 141, 168, 181, 140, 168, 180,
   157, 179, 189, 152, 175, 185, 161, 182, 191, 155, 179, 190, 162, 183, 192, 146, 172, 183, 137, 166, 178, 165, 184, 194, 130, 160, 174, 166, 185, 194, 154, 177, 188, 167, 187, 195, 168, 188, 195, 172, 190, 198, 159, 182, 190, 161, 183, 190, 170, 188, 195, 160, 182, 190, 161, 182, 190, 155, 177, 186, 152, 175, 183,
   139, 163, 175, 157, 175, 186, 144, 166, 177, 155, 176, 184, 148, 170, 180, 138, 163, 173, 145, 168, 178, 146, 168, 178, 132, 158, 168, 155, 173, 181, 147, 169, 176, 127, 154, 162, 134, 159, 166, 132, 156, 164, 146, 165, 173, 148, 167, 174, 128, 150, 159,  97, 127, 138, 105, 132, 141, 139, 159, 165, 127, 149, 156,
   123, 144, 151, 139, 155, 162, 124, 141, 149, 106, 126, 132, 124, 143, 149, 139, 158, 165, 136, 157, 165, 151, 170, 179, 144, 164, 174, 128, 151, 162, 116, 142, 154, 113, 138, 151,  86, 115, 131,  94, 122, 136,  72, 103, 118, 112, 135, 148,  99, 122, 136,  60,  83,  98,  59,  81,  96,  38,  61,  78,  47,  65,  82,
    43,  60,  77,  44,  60,  77,  49,  64,  80,  38,  55,  72,  35,  52,  71,  27,  43,  65,  22,  40,  62,  18,  37,  58,  39,  57,  76,  59,  76,  92,  77,  93, 106, 119, 130, 143,  82, 100, 116,  74,  99, 116,  72,  98, 115, 136, 152, 164, 126, 146, 156, 116, 139, 150, 108, 137, 153, 122, 150, 162, 141, 164, 175,
   152, 174, 183, 168, 187, 194, 179, 195, 201, 188, 202, 208, 186, 202, 208, 184, 202, 208, 196, 210, 217, 200, 214, 220, 195, 211, 217, 197, 213, 219, 197, 212, 218, 199, 215, 221, 204, 220, 223, 210, 222, 226, 211, 223, 227, 215, 228, 230, 213, 226, 228, 218, 229, 232, 221, 231, 231, 225, 234, 234, 230, 237, 237,
   232, 238, 239, 235, 241, 240, 236, 242, 241, 237, 243, 242, 239, 245, 244, 241, 246, 245, 241, 247, 246, 242, 247, 246, 242, 248, 246, 242, 248, 247, 242, 248, 247, 242, 247, 246, 243, 248, 247, 243, 248, 247, 241, 247, 246, 242, 247, 246, 242, 247, 246, 240, 246, 245, 240, 246, 245, 239, 245, 244, 239, 245, 244,
    47,  15,  46,  48,  17,  47,  48,  14,  46,  50,  16,  47,  50,  16,  47,  53,  17,  49,  54,  17,  49,  54,  17,  49,  54,  16,  48,  54,  18,  51,  53,  16,  50,  56,  17,  52,  57,  18,  51,  56,  16,  51,  56,  16,  51,  56,  16,  51,  57,  17,  52,  58,  15,  52,  59,  16,  53,  60,  17,  54,  60,  16,  53,
    61,  18,  54,  61,  18,  55,  63,  20,  57,  61,  18,  55,  62,  19,  56,  63,  20,  57,  64,  21,  58,  65,  21,  58,  64,  20,  57,  65,  20,  57,  66,  22,  59,  67,  22,  59,  66,  24,  59,  69,  26,  62,  69,  27,  62,  71,  29,  64,  70,  29,  65,  72,  31,  67,  72,  33,  69,  74,  35,  71,  77,  40,  74,
    78,  41,  75,  79,  45,  78,  81,  47,  79,  78,  45,  77,  95,  65,  96, 105,  80, 108,  95,  69,  99,  82,  51,  84,  79,  47,  81,  79,  48,  81,  79,  46,  80,  81,  47,  82,  81,  48,  81,  80,  49,  80,  81,  51,  82,  82,  53,  84,  85,  53,  84,  85,  54,  85,  82,  54,  84,  98,  80, 105,  98,  84, 107,
    87,  73,  96,  98,  84, 105, 105,  93, 114, 117, 107, 127, 129, 120, 139, 135, 135, 153, 145, 149, 164, 156, 160, 173, 164, 168, 179, 167, 173, 184, 171, 179, 189, 174, 182, 193, 177, 187, 197, 180, 190, 200, 183, 193, 203, 184, 194, 204, 184, 197, 206, 185, 197, 206, 187, 200, 208, 187, 200, 208, 188, 203, 210,
   193, 206, 213, 192, 208, 215, 195, 211, 217, 197, 212, 219, 199, 214, 220, 201, 215, 221, 200, 215, 221, 200, 215, 221, 200, 215, 221, 200, 216, 222, 201, 217, 223, 200, 216, 222, 200, 216, 222, 199, 215, 221, 199, 215, 221, 197, 213, 219, 196, 212, 219, 194, 210, 216, 192, 208, 214, 186, 205, 211, 185, 202, 209,
   184, 200, 207, 181, 199, 206, 179, 197, 204, 175, 193, 200, 175, 192, 199, 171, 188, 196, 168, 186, 194, 168, 185, 193, 167, 185, 193, 178, 194, 201, 171, 189, 197, 177, 192, 200, 164, 182, 191, 163, 181, 191, 166, 183, 192, 152, 173, 184, 147, 166, 179, 113, 139, 154, 139, 158, 165, 114, 136, 144, 126, 145, 150,
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   184, 197, 202, 185, 200, 204, 188, 202, 208, 189, 204, 210, 181, 198, 205, 179, 197, 204, 188, 204, 210, 187, 204, 211, 188, 205, 212, 181, 200, 208, 181, 200, 209, 186, 203, 211, 185, 203, 210, 191, 208, 215, 194, 211, 216, 198, 213, 219, 202, 217, 220, 210, 221, 225, 216, 226, 228, 218, 228, 230, 219, 228, 232,
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   166, 182, 188, 155, 174, 181, 153, 172, 178, 141, 163, 172, 136, 161, 170, 150, 171, 180, 139, 163, 174, 163, 180, 189, 153, 173, 183, 149, 172, 181, 139, 166, 176, 144, 168, 178, 156, 177, 185, 134, 162, 171, 131, 158, 168,  99, 136, 152, 115, 147, 159, 100, 134, 147,  94, 127, 139, 102, 123, 133, 122, 139, 150,
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   183, 197, 202, 197, 208, 213, 195, 207, 211, 193, 206, 211, 189, 203, 209, 176, 194, 202, 178, 197, 203, 185, 203, 209, 197, 211, 218, 190, 207, 214, 190, 207, 214, 177, 198, 206, 179, 199, 207, 181, 202, 209, 189, 207, 213, 190, 208, 215, 195, 212, 218, 203, 217, 221, 209, 221, 225, 215, 227, 229, 219, 228, 231,
   220, 229, 232, 223, 233, 232, 228, 236, 236, 229, 238, 238, 232, 240, 240, 235, 241, 241, 237, 243, 242, 237, 243, 243, 238, 244, 243, 239, 245, 244, 240, 246, 245, 241, 247, 246, 242, 248, 247, 242, 248, 246, 242, 247, 246, 242, 247, 246, 242, 247, 246, 241, 247, 246, 242, 248, 247, 242, 247, 246, 242, 246, 245,
    43,  15,  43,  44,  15,  42,  46,  16,  45,  46,  15,  44,  46,  14,  44,  48,  15,  45,  49,  15,  46,  50,  15,  46,  50,  13,  45,  51,  14,  46,  51,  14,  46,  53,  16,  48,  52,  15,  47,  52,  15,  48,  54,  17,  50,  55,  15,  50,  57,  17,  51,  54,  14,  49,  56,  17,  52,  56,  15,  51,  58,  18,  53,
    58,  17,  53,  60,  18,  53,  59,  19,  53,  60,  20,  55,  60,  22,  57,  63,  24,  59,  63,  22,  59,  64,  23,  60,  66,  26,  62,  64,  30,  61,  77,  50,  78,  92,  71,  96,  76,  54,  81,  70,  48,  76,  74,  51,  79,  79,  56,  83,  81,  62,  87,  84,  67,  90,  92,  77,  98,  94,  85, 104, 101,  94, 113,
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   212, 224, 227, 216, 228, 230, 220, 230, 230, 225, 234, 234, 229, 237, 237, 229, 237, 237, 230, 238, 237, 231, 240, 239, 233, 241, 240, 236, 242, 241, 237, 243, 242, 238, 244, 243, 239, 245, 244, 240, 246, 245, 240, 246, 245, 240, 246, 245, 241, 247, 246, 240, 246, 245, 240, 246, 245, 241, 246, 245, 240, 246, 245,
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   112, 139, 156, 125, 149, 162, 122, 147, 162, 108, 137, 155, 117, 146, 163, 100, 134, 154,  97, 132, 152, 130, 154, 170, 143, 166, 179, 144, 167, 182, 154, 177, 190, 163, 183, 194, 174, 192, 201, 183, 199, 207, 188, 202, 209, 188, 204, 210, 189, 203, 210, 197, 209, 216, 192, 205, 211, 195, 206, 213, 192, 205, 212,
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   137, 157, 166, 150, 168, 177, 143, 162, 172, 151, 168, 177, 153, 170, 179, 155, 173, 182, 168, 184, 191, 176, 194, 200, 185, 200, 206, 190, 204, 209, 200, 212, 217, 196, 210, 216, 196, 210, 215, 195, 210, 215, 189, 206, 211, 196, 211, 215, 194, 210, 214, 199, 213, 217, 204, 217, 221, 209, 221, 225, 205, 219, 222,
   205, 220, 223, 211, 223, 227, 216, 227, 229, 222, 232, 232, 227, 235, 235, 228, 236, 236, 231, 239, 239, 233, 241, 241, 233, 241, 241, 234, 242, 241, 234, 241, 241, 235, 241, 241, 236, 241, 241, 236, 242, 241, 237, 243, 242, 237, 243, 242, 237, 243, 242, 237, 243, 242, 238, 244, 243, 237, 243, 242, 238, 244, 243,
    38,  13,  39,  40,  13,  40,  39,  14,  39,  40,  14,  39,  41,  15,  39,  40,  14,  39,  45,  18,  44,  44,  17,  43,  47,  20,  46,  48,  20,  46,  49,  20,  46,  51,  22,  49,  51,  23,  52,  55,  28,  54,  54,  27,  54,  56,  29,  56,  58,  31,  57,  56,  29,  55,  58,  29,  55,  59,  30,  56,  59,  29,  56,
    58,  29,  56,  58,  31,  58,  58,  31,  59,  61,  33,  61,  59,  30,  58,  61,  33,  59,  63,  35,  61,  64,  37,  63,  66,  41,  68,  67,  44,  68,  70,  50,  72,  79,  68,  86,  95,  87, 104, 109, 105, 121, 123, 124, 140, 137, 146, 160, 148, 162, 175, 157, 173, 185, 164, 180, 192, 169, 186, 198, 175, 192, 203,
   179, 195, 207, 179, 196, 207, 180, 198, 208, 180, 198, 209, 182, 200, 210, 183, 201, 211, 182, 201, 210, 182, 201, 212, 183, 201, 213, 183, 201, 212, 183, 202, 212, 183, 203, 210, 181, 201, 212, 183, 203, 211, 182, 203, 211, 182, 203, 211, 181, 202, 210, 181, 202, 210, 181, 201, 211, 181, 201, 211, 178, 199, 211,
   177, 199, 210, 177, 199, 210, 176, 198, 209, 175, 197, 209, 176, 198, 209, 173, 197, 208, 173, 197, 208, 176, 198, 209, 174, 197, 208, 175, 197, 209, 173, 197, 209, 172, 197, 208, 173, 197, 209, 172, 197, 208, 172, 196, 207, 172, 198, 208, 173, 198, 208, 172, 197, 207, 168, 195, 206, 169, 195, 207, 169, 195, 207,
   170, 194, 206, 170, 194, 206, 169, 195, 207, 171, 195, 207, 171, 195, 207, 171, 195, 207, 170, 195, 206, 171, 195, 205, 169, 194, 206, 170, 193, 205, 169, 193, 204, 166, 191, 202, 167, 191, 202, 163, 189, 200, 161, 186, 198, 157, 183, 195, 154, 179, 191, 144, 170, 183, 140, 166, 179, 126, 155, 167, 117, 145, 159,
    98, 129, 141,  79, 110, 123,  78, 103, 116,  77, 101, 112,  86, 110, 120,  89, 111, 121,  85, 107, 118,  84, 105, 116,  81, 104, 115,  83, 108, 117,  92, 116, 127, 110, 132, 141,  76, 102, 113, 102, 123, 133,  75,  99, 107,  83, 103, 110,  83, 102, 107,  91, 105, 113,  48,  65,  74,  63,  77,  86,  48,  64,  72,
    29,  47,  54,  47,  61,  68,  54,  66,  72,  25,  39,  44,  38,  51,  56,  39,  52,  56,  56,  69,  73,  56,  68,  74,  39,  52,  58,  39,  53,  59,  51,  63,  71,  64,  79,  86,  35,  55,  64,  75,  93,  99,  91, 107, 113,  57,  78,  84,  51,  74,  82,  67,  87,  95,  68,  89,  97,  40,  63,  74,  64,  83,  93,
    56,  74,  84,  23,  44,  56,  46,  62,  73,  28,  44,  56,  37,  52,  65,  62,  80,  89,  53,  72,  83,  71,  89,  97,  75,  94, 102,  76,  97, 105,  64,  88,  98,  78,  99, 110, 101, 119, 129, 108, 124, 135, 105, 122, 132, 112, 127, 139,  98, 117, 130, 104, 124, 136, 102, 126, 137, 103, 130, 142, 118, 143, 157,
   144, 163, 175, 146, 164, 176, 148, 167, 178, 161, 178, 188, 144, 167, 180, 146, 168, 181, 141, 166, 179, 152, 172, 184, 144, 164, 179, 159, 178, 190, 147, 172, 186, 163, 183, 195, 156, 179, 191, 161, 183, 195, 175, 194, 203, 173, 193, 200, 186, 202, 208, 189, 204, 210, 197, 209, 215, 201, 212, 217, 200, 211, 217,
   191, 203, 212, 186, 201, 210, 186, 201, 210, 194, 207, 215, 181, 199, 208, 183, 199, 208, 188, 201, 210, 184, 199, 208, 181, 197, 206, 190, 204, 210, 184, 201, 208, 180, 199, 206, 182, 199, 206, 177, 196, 203, 169, 191, 199, 162, 186, 194, 168, 189, 197, 172, 192, 199, 179, 196, 203, 183, 199, 205, 181, 198, 203,
   177, 196, 200, 165, 186, 192, 174, 192, 198, 175, 192, 199, 178, 194, 200, 181, 196, 202, 174, 192, 197, 180, 196, 201, 171, 189, 195, 164, 184, 191, 168, 186, 193, 164, 183, 190, 168, 186, 193, 158, 178, 187, 153, 175, 182, 146, 167, 174, 138, 158, 167, 109, 134, 146,  76, 106, 119,  88, 113, 126, 139, 156, 165,
    69,  90, 103,  61,  83,  94,  38,  57,  70,  53,  66,  74,  65,  76,  81,  78,  85,  89,  87,  96,  99,  67,  77,  82,  67,  75,  81,  45,  59,  65,  53,  70,  77,  52,  72,  79,  72,  91,  99,  70,  94, 103,  79, 101, 111,  79, 105, 117,  96, 120, 131,  96, 121, 131,  95, 119, 128, 100, 125, 134,  98, 124, 134,
   114, 135, 145, 118, 139, 150, 125, 147, 157, 114, 138, 150, 111, 137, 150, 110, 140, 153, 131, 157, 168, 149, 170, 180, 169, 186, 194, 182, 196, 202, 190, 203, 209, 190, 206, 211, 192, 207, 212, 196, 210, 215, 198, 211, 215, 199, 213, 218, 197, 211, 216, 199, 214, 217, 200, 214, 218, 209, 221, 224, 212, 224, 226,
   213, 225, 227, 211, 224, 226, 216, 228, 230, 216, 228, 230, 222, 232, 233, 228, 236, 235, 229, 237, 237, 232, 240, 240, 234, 242, 242, 235, 241, 242, 236, 242, 242, 236, 242, 241, 235, 241, 240, 235, 241, 240, 235, 241, 240, 235, 241, 240, 235, 241, 240, 235, 241, 241, 236, 242, 241, 237, 243, 242, 237, 243, 242,
    40,  18,  43,  39,  17,  42,  40,  15,  41,  40,  16,  41,  40,  16,  40,  42,  18,  42,  44,  20,  44,  43,  17,  43,  45,  17,  43,  48,  21,  46,  50,  24,  48,  50,  24,  49,  52,  24,  52,  54,  27,  54,  55,  30,  56,  57,  32,  58,  59,  35,  60,  61,  36,  60,  62,  36,  60,  63,  36,  61,  62,  36,  61,
    62,  39,  64,  61,  40,  64,  61,  40,  64,  64,  43,  67,  65,  44,  68,  67,  44,  68,  69,  46,  69,  70,  48,  71,  72,  52,  75,  74,  58,  79,  77,  65,  83,  86,  80,  97,  96,  93, 109, 110, 112, 127, 127, 133, 148, 140, 152, 166, 149, 164, 178, 159, 176, 187, 165, 184, 194, 170, 188, 199, 172, 191, 202,
   177, 195, 206, 178, 196, 207, 178, 197, 208, 179, 199, 210, 179, 199, 210, 181, 200, 211, 181, 200, 211, 180, 200, 211, 180, 200, 211, 181, 200, 211, 180, 200, 211, 180, 200, 212, 181, 201, 212, 181, 202, 210, 180, 201, 209, 181, 202, 209, 180, 200, 210, 180, 201, 210, 179, 199, 211, 178, 199, 210, 176, 198, 209,
   177, 199, 210, 176, 198, 209, 176, 198, 209, 175, 197, 209, 175, 197, 208, 176, 198, 209, 175, 198, 209, 175, 197, 208, 175, 197, 208, 176, 199, 209, 175, 197, 209, 174, 197, 209, 173, 197, 208, 173, 198, 208, 172, 197, 207, 173, 197, 208, 171, 196, 206, 171, 197, 207, 171, 196, 206, 169, 195, 206, 169, 195, 206,
   168, 195, 206, 168, 194, 206, 169, 194, 206, 170, 195, 207, 170, 194, 206, 169, 193, 205, 170, 194, 206, 169, 193, 205, 168, 193, 205, 167, 191, 203, 164, 189, 201, 165, 189, 200, 162, 188, 200, 163, 188, 200, 159, 185, 197, 156, 182, 194, 150, 177, 189, 141, 168, 181, 129, 158, 173, 115, 146, 160,  95, 128, 143,
    86, 119, 132,  71, 102, 115,  55,  86,  98,  54,  83,  94,  60,  82,  92,  71,  90,  99,  79,  96, 105,  74,  94, 104,  71,  93, 102,  84, 105, 113,  78, 101, 110,  90, 112, 120,  95, 115, 125,  69,  92, 103,  83, 100, 109,  85, 102, 107,  71,  89,  96,  75,  91,  99,  63,  79,  87,  48,  65,  74,  59,  72,  80,
    40,  55,  63,  58,  70,  76,  34,  49,  54,  25,  39,  44,  36,  50,  53,  47,  59,  63,  52,  64,  69,  47,  59,  65,  46,  59,  64,  27,  42,  47,  51,  63,  70,  65,  77,  84,  69,  83,  89,  11,  30,  37,  75,  90,  97,  61,  77,  83,  39,  60,  67,  92, 105, 113,  58,  75,  83,  55,  71,  79,  68,  81,  89,
    51,  66,  75,  41,  56,  66,  50,  62,  74,  28,  44,  56,  42,  56,  68,  53,  69,  78,  34,  54,  66,  71,  89,  97,  68,  87,  94,  70,  91,  98,  58,  82,  92,  78,  98, 109,  43,  68,  82,  49,  71,  83,  64,  86,  98,  82, 101, 112,  90, 109, 119,  87, 109, 119,  95, 116, 126, 127, 152, 164, 126, 149, 162,
   119, 144, 158, 120, 145, 159, 112, 142, 157, 110, 142, 156, 160, 178, 188, 153, 173, 185, 142, 167, 180, 126, 155, 172, 135, 162, 177, 165, 182, 193, 168, 185, 196, 162, 182, 194, 167, 186, 197, 164, 183, 195, 162, 183, 194, 179, 196, 203, 194, 208, 214, 181, 198, 206, 192, 206, 212, 196, 207, 214, 194, 206, 213,
   195, 207, 213, 191, 205, 211, 195, 209, 214, 188, 203, 210, 189, 203, 211, 190, 205, 212, 182, 198, 207, 188, 202, 210, 185, 201, 208, 188, 203, 210, 179, 198, 204, 180, 199, 206, 175, 195, 203, 178, 197, 204, 178, 198, 205, 182, 199, 206, 180, 199, 205, 179, 197, 204, 182, 198, 204, 167, 189, 196, 171, 191, 198,
   163, 185, 193, 161, 184, 192, 172, 192, 199, 181, 196, 203, 169, 189, 195, 171, 189, 195, 174, 192, 197, 165, 186, 192, 165, 186, 192, 170, 189, 195, 167, 186, 192, 175, 192, 197, 171, 188, 195, 165, 185, 191, 153, 175, 181, 140, 163, 170, 140, 161, 168, 131, 155, 162, 132, 154, 163, 123, 147, 157, 110, 135, 147,
   147, 165, 175, 116, 139, 150, 137, 157, 166, 133, 146, 151,  79,  91,  96,  39,  53,  56,  11,  22,  25,  11,  25,  30,  22,  37,  43,  17,  32,  38,   8,  28,  35,  27,  46,  54,  19,  46,  56,  40,  65,  75,  51,  73,  85,  79,  98, 108,  77,  98, 107,  91, 111, 118,  81, 103, 111,  66,  90,  99,  58,  83,  94,
    51,  78,  89,  70,  93, 104,  80, 102, 113,  81, 106, 118,  60,  90, 103,  66,  98, 110,  76, 112, 125,  99, 131, 144, 115, 146, 159, 143, 168, 179, 171, 188, 195, 184, 199, 205, 187, 203, 209, 191, 205, 210, 197, 210, 215, 198, 212, 215, 205, 217, 221, 203, 216, 220, 201, 215, 218, 203, 217, 221, 209, 221, 224,
   215, 227, 229, 218, 229, 231, 218, 229, 231, 219, 230, 231, 222, 232, 232, 225, 234, 234, 227, 235, 235, 228, 238, 238, 232, 240, 239, 234, 241, 241, 235, 242, 241, 237, 243, 242, 237, 243, 242, 235, 241, 240, 235, 241, 240, 235, 241, 240, 235, 241, 240, 235, 242, 239, 236, 243, 240, 236, 243, 241, 236, 242, 241,
    39,  19,  42,  40,  19,  42,  41,  18,  42,  41,  16,  41,  42,  18,  42,  42,  18,  42,  43,  19,  43,  46,  22,  46,  47,  24,  47,  49,  25,  48,  50,  27,  49,  51,  27,  51,  52,  28,  53,  54,  32,  56,  54,  32,  56,  58,  35,  59,  62,  38,  62,  64,  40,  64,  65,  42,  66,  68,  47,  68,  68,  50,  71,
    67,  50,  71,  68,  51,  72,  71,  55,  76,  72,  55,  77,  75,  58,  79,  75,  60,  82,  78,  64,  84,  80,  67,  85,  79,  69,  88,  84,  75,  91,  92,  85, 102,  96,  96, 112, 106, 110, 126, 117, 126, 142, 128, 143, 158, 141, 157, 169, 153, 169, 180, 159, 177, 188, 167, 185, 196, 171, 190, 201, 172, 191, 202,
   175, 194, 205, 176, 195, 206, 177, 197, 208, 177, 197, 208, 178, 198, 209, 179, 199, 210, 178, 198, 209, 179, 199, 210, 179, 199, 210, 180, 201, 211, 179, 199, 210, 180, 200, 211, 179, 199, 210, 179, 199, 210, 179, 199, 209, 179, 200, 210, 179, 200, 211, 178, 199, 210, 176, 198, 209, 175, 198, 209, 176, 198, 209,
   176, 198, 209, 175, 197, 208, 174, 197, 207, 175, 197, 208, 175, 198, 208, 175, 197, 208, 176, 197, 208, 176, 198, 209, 176, 198, 209, 176, 198, 209, 176, 198, 210, 175, 198, 210, 176, 198, 210, 174, 197, 208, 173, 197, 207, 171, 196, 206, 172, 197, 207, 173, 197, 207, 172, 196, 206, 169, 194, 205, 170, 194, 205,
   170, 194, 206, 170, 194, 206, 171, 195, 207, 169, 193, 205, 169, 193, 205, 171, 195, 207, 170, 194, 205, 167, 192, 204, 163, 189, 201, 163, 189, 201, 163, 188, 200, 160, 187, 198, 159, 185, 197, 152, 180, 193, 149, 176, 188, 143, 171, 186, 135, 165, 180, 133, 162, 177, 117, 149, 164, 103, 137, 152,  87, 123, 137,
    80, 113, 127,  68, 100, 113,  61,  90, 103,  48,  78,  89,  44,  69,  79,  37,  61,  70,  36,  58,  67,  45,  65,  73,  67,  84,  91,  65,  84,  92,  82, 101, 111,  84, 104, 114,  80, 101, 112,  74,  95, 106,  64,  83,  92,  65,  83,  90,  60,  77,  84,  66,  83,  90,  63,  79,  88,  57,  72,  81,  52,  66,  74,
    48,  60,  68,  48,  61,  66,  29,  41,  45,  36,  49,  52,  30,  42,  46,  60,  70,  74,  54,  65,  69,  53,  65,  70,  56,  68,  73,  41,  54,  59,  36,  47,  55,  60,  73,  79,  77,  89,  95,  60,  74,  81,  41,  54,  63,  82,  93, 100,  25,  45,  53,  48,  66,  73,  74,  88,  94,  24,  41,  49,  58,  70,  77,
    43,  55,  65,  64,  75,  84,  50,  61,  71,  22,  37,  47,  38,  52,  60,  52,  65,  73,  54,  70,  78,  53,  71,  81,  69,  86,  94,  53,  78,  87,  88, 106, 116,  62,  85,  97,  92, 108, 117,  61,  81,  92,  90, 107, 115,  89, 107, 116, 104, 121, 128,  83, 102, 112,  79, 100, 112,  84, 113, 126, 107, 132, 145,
   102, 130, 143, 121, 146, 157, 135, 159, 168, 148, 169, 178, 138, 162, 173, 140, 163, 175, 145, 168, 181, 145, 168, 183, 157, 177, 189, 133, 158, 174, 148, 168, 183, 152, 174, 187, 153, 176, 189, 175, 191, 201, 172, 189, 200, 167, 185, 196, 178, 193, 201, 186, 199, 206, 188, 200, 207, 192, 204, 210, 191, 203, 210,
   187, 199, 206, 190, 204, 209, 192, 205, 212, 189, 203, 210, 191, 206, 213, 193, 206, 214, 192, 205, 212, 183, 199, 207, 192, 206, 212, 184, 200, 207, 184, 200, 208, 175, 195, 203, 176, 196, 202, 175, 195, 203, 170, 192, 199, 175, 196, 204, 177, 195, 204, 165, 187, 197, 164, 186, 195, 165, 188, 195, 162, 184, 193,
   160, 182, 192, 170, 189, 197, 172, 191, 198, 168, 189, 195, 181, 197, 203, 176, 193, 198, 167, 187, 193, 167, 187, 193, 175, 193, 198, 169, 188, 195, 172, 189, 195, 163, 181, 189, 152, 174, 181, 153, 174, 182, 149, 172, 179, 150, 171, 178, 138, 163, 170, 137, 163, 170, 136, 160, 169, 134, 157, 166, 154, 171, 180,
   128, 149, 161,  92, 120, 134, 107, 130, 142,  63,  83,  92,  31,  48,  52,  45,  63,  66,  20,  33,  37,  26,  40,  44,  23,  38,  44,  25,  40,  47,  36,  51,  58,  33,  50,  56,  50,  67,  75,  52,  70,  78,  62,  79,  87,  42,  63,  73,  33,  56,  65,  35,  59,  67,  27,  54,  62,  42,  67,  76,  65,  86,  97,
    81, 101, 111,  76,  98, 107,  66,  89, 100,  79, 101, 112, 100, 120, 131,  74,  98, 110,  55,  83,  96,  66,  94, 108,  82, 112, 126,  98, 128, 142, 122, 148, 161, 155, 176, 185, 178, 193, 200, 183, 198, 204, 185, 200, 206, 195, 210, 213, 199, 212, 215, 205, 217, 220, 207, 218, 222, 205, 218, 221, 204, 217, 220,
   207, 220, 223, 217, 227, 230, 223, 232, 235, 222, 232, 234, 224, 233, 234, 225, 235, 235, 228, 237, 237, 230, 238, 238, 231, 239, 238, 231, 240, 240, 232, 240, 239, 232, 240, 239, 235, 241, 240, 235, 241, 240, 235, 241, 240, 235, 241, 240, 234, 240, 239, 235, 242, 239, 235, 242, 239, 236, 242, 241, 236, 242, 241,
    39,  19,  42,  40,  20,  43,  40,  17,  41,  43,  19,  43,  44,  20,  44,  44,  20,  44,  46,  23,  47,  46,  25,  47,  46,  24,  46,  49,  27,  49,  51,  29,  51,  51,  29,  53,  55,  33,  57,  57,  37,  60,  58,  40,  63,  61,  42,  65,  66,  47,  70,  68,  50,  72,  71,  55,  76,  76,  61,  81,  78,  65,  83,
    82,  72,  89,  85,  76,  94,  86,  77,  94,  91,  82,  98,  91,  83,  98,  94,  84, 101,  94,  87, 104,  94,  90, 106,  97,  95, 111, 103, 101, 117, 108, 109, 125, 114, 117, 132, 120, 129, 145, 128, 141, 156, 138, 152, 165, 146, 161, 173, 153, 169, 181, 161, 179, 190, 164, 185, 196, 169, 189, 200, 171, 191, 202,
   174, 194, 205, 174, 195, 205, 176, 196, 207, 176, 196, 207, 177, 197, 208, 177, 197, 208, 178, 197, 208, 179, 199, 210, 178, 199, 210, 178, 199, 210, 178, 199, 210, 179, 199, 210, 178, 198, 209, 178, 199, 210, 179, 199, 210, 178, 199, 210, 175, 197, 208, 176, 198, 209, 174, 197, 208, 174, 198, 209, 175, 197, 208,
   173, 198, 208, 174, 197, 209, 175, 197, 209, 174, 197, 208, 174, 197, 208, 175, 197, 208, 176, 198, 209, 176, 197, 208, 176, 198, 209, 176, 198, 209, 175, 198, 210, 177, 198, 209, 173, 198, 208, 173, 197, 208, 173, 197, 207, 174, 196, 207, 173, 195, 206, 172, 195, 206, 171, 195, 205, 172, 195, 206, 171, 195, 207,
   171, 194, 206, 171, 195, 207, 170, 194, 206, 170, 194, 206, 170, 194, 206, 168, 192, 205, 169, 194, 205, 168, 192, 204, 165, 191, 203, 164, 191, 203, 162, 188, 200, 158, 185, 198, 154, 182, 193, 151, 179, 190, 147, 175, 186, 143, 171, 185, 137, 166, 181, 131, 160, 176, 116, 148, 164, 109, 141, 156,  96, 129, 144,
    81, 113, 128,  75, 106, 121,  58,  92, 106,  63,  92, 104,  58,  82,  91,  37,  61,  70,  27,  49,  57,  22,  43,  50,  28,  46,  54,  76,  89,  94,  68,  84,  93,  81,  98, 107,  82,  99, 107,  66,  84,  96,  59,  76,  85,  70,  85,  93,  51,  67,  75,  70,  85,  92,  66,  80,  88,  56,  69,  79,  53,  64,  73,
    36,  50,  57,  45,  57,  62,  47,  58,  62,  32,  44,  48,  39,  50,  54,  59,  69,  72,  56,  67,  72,  73,  84,  88,  58,  70,  74,  47,  58,  62,  35,  46,  52,  37,  50,  56,  37,  51,  58,  77,  87,  93,  24,  38,  46,  51,  63,  70,  87,  94, 100,  21,  35,  40,  42,  55,  61,  46,  59,  65,  41,  54,  61,
    35,  50,  57,  42,  54,  63,  45,  57,  65,  29,  43,  50,  40,  54,  61,  41,  57,  63,  36,  54,  61,  56,  72,  80,  46,  64,  73,  67,  82,  90,  40,  59,  71,  42,  58,  70,  25,  44,  55,  37,  54,  64,  46,  60,  69,  49,  64,  73,  49,  67,  76,  59,  78,  87,  98, 116, 126,  88, 113, 125,  68,  99, 111,
    55,  89, 100,  88, 116, 126, 115, 143, 154, 128, 154, 163, 143, 166, 176, 151, 171, 180, 172, 187, 194, 159, 178, 187, 178, 194, 201, 152, 174, 187, 149, 169, 185, 156, 176, 190, 174, 191, 200, 169, 186, 197, 156, 178, 189, 168, 185, 197, 181, 195, 204, 184, 197, 206, 170, 187, 197, 190, 202, 209, 188, 200, 207,
   196, 209, 214, 188, 203, 208, 189, 203, 209, 188, 204, 209, 180, 197, 205, 189, 203, 210, 189, 203, 210, 193, 206, 213, 189, 204, 211, 188, 203, 209, 185, 201, 208, 184, 201, 207, 183, 200, 207, 182, 199, 205, 180, 198, 204, 172, 192, 201, 168, 189, 199, 172, 192, 201, 165, 187, 198, 155, 180, 190, 156, 181, 190,
   165, 186, 194, 172, 191, 198, 174, 192, 200, 169, 189, 197, 155, 181, 188, 169, 190, 195, 176, 195, 200, 180, 197, 202, 162, 184, 189, 177, 193, 198, 170, 188, 194, 169, 187, 193, 168, 184, 190, 162, 181, 187, 153, 174, 182, 144, 168, 176, 156, 176, 184, 151, 172, 181, 130, 157, 168, 128, 153, 166,  94, 124, 139,
    85, 118, 131,  89, 121, 133,  55,  89, 103,  21,  53,  62,  22,  42,  47,   3,  21,  25,  13,  26,  30,  30,  42,  48,  17,  33,  39,  10,  29,  34,  26,  42,  48,  28,  44,  50,  34,  52,  58,  45,  62,  69,  25,  48,  56,  33,  55,  63,  46,  66,  73,  66,  84,  91,  79,  97, 103,  88, 104, 111,  88, 106, 114,
    61,  84,  95,  62,  85,  96,  76,  97, 108,  94, 113, 125,  79, 103, 114,  91, 112, 123, 109, 129, 138, 107, 130, 140,  91, 117, 131,  82, 110, 125,  98, 125, 140, 110, 139, 153, 135, 161, 173, 169, 187, 193, 175, 193, 198, 191, 206, 211, 194, 208, 213, 198, 213, 217, 211, 221, 224, 207, 220, 223, 209, 222, 223,
   209, 222, 224, 211, 224, 226, 219, 229, 231, 222, 231, 232, 224, 234, 236, 225, 235, 235, 226, 235, 235, 231, 239, 238, 231, 239, 239, 232, 240, 240, 233, 241, 240, 232, 240, 239, 232, 240, 239, 234, 241, 240, 234, 240, 239, 233, 241, 240, 236, 242, 241, 236, 242, 241, 238, 243, 242, 236, 242, 242, 237, 243, 242,
    39,  20,  41,  39,  20,  42,  42,  20,  44,  44,  21,  45,  44,  22,  47,  46,  24,  47,  46,  24,  48,  48,  27,  49,  51,  31,  52,  52,  33,  53,  53,  34,  54,  55,  35,  58,  57,  39,  61,  59,  44,  66,  62,  49,  70,  67,  56,  75,  72,  62,  79,  76,  66,  83,  84,  74,  88,  86,  79,  93,  94,  89, 104,
    98,  95, 110, 101, 101, 115, 104, 110, 124, 107, 113, 127, 109, 114, 129, 111, 115, 130, 112, 116, 131, 116, 121, 134, 120, 125, 139, 121, 127, 141, 127, 135, 149, 132, 140, 155, 138, 150, 164, 142, 158, 171, 148, 166, 178, 153, 172, 184, 161, 179, 190, 163, 183, 194, 168, 188, 199, 170, 191, 202, 172, 192, 203,
   172, 193, 204, 173, 194, 205, 173, 195, 206, 174, 196, 207, 176, 197, 208, 175, 196, 207, 175, 197, 208, 175, 197, 208, 177, 198, 209, 176, 198, 209, 176, 198, 208, 178, 199, 208, 176, 198, 209, 176, 198, 209, 177, 198, 209, 175, 197, 208, 173, 196, 206, 173, 196, 207, 174, 197, 207, 173, 196, 208, 172, 196, 209,
   172, 196, 208, 173, 196, 208, 174, 197, 208, 175, 197, 209, 175, 197, 208, 175, 197, 208, 176, 197, 208, 176, 198, 209, 175, 198, 208, 175, 196, 208, 174, 197, 208, 172, 196, 208, 172, 196, 208, 172, 196, 206, 172, 196, 207, 171, 196, 207, 172, 195, 206, 174, 196, 207, 171, 196, 206, 174, 195, 207, 171, 195, 206,
   172, 195, 207, 169, 194, 206, 171, 195, 207, 171, 195, 207, 172, 195, 207, 173, 195, 206, 172, 195, 206, 170, 194, 206, 170, 194, 206, 168, 192, 204, 164, 190, 202, 163, 189, 201, 161, 187, 199, 157, 183, 194, 155, 181, 193, 150, 177, 191, 141, 170, 186, 130, 160, 176, 118, 149, 167, 110, 143, 158, 106, 137, 152,
    96, 125, 140,  91, 120, 135,  75, 106, 120,  73, 101, 113,  65,  91, 102,  53,  74,  83,  34,  54,  61,  25,  42,  48,  58,  70,  77,  73,  78,  95,  27,  40,  48,  56,  68,  77,  69,  84,  93,  73,  87,  97,  55,  71,  82,  73,  86,  95,  64,  77,  86,  63,  76,  84,  58,  71,  80,  48,  62,  70,  57,  68,  77,
    31,  44,  52,  40,  53,  59,  50,  61,  65,  23,  35,  39,  45,  55,  60,  55,  64,  68,  56,  67,  72,  55,  67,  72,  59,  70,  74,  27,  41,  45,  49,  59,  64,  27,  40,  46,  38,  51,  57,  51,  61,  68,  45,  56,  64,  18,  29,  38,  56,  66,  72,  59,  69,  74,  27,  37,  41,  39,  52,  54,  36,  51,  51,
    34,  48,  51,  31,  46,  52,  21,  37,  44,  39,  54,  59,  25,  39,  45,  32,  47,  52,  31,  46,  53,  53,  65,  73,  43,  55,  65,  35,  49,  59,  38,  54,  63,  22,  39,  49,  31,  49,  57,  27,  41,  50,  22,  37,  45,  30,  44,  51,  33,  48,  57,  56,  70,  76,  40,  57,  66,  86, 101, 109,  91, 109, 117,
   120, 142, 150,  74, 103, 113,  95, 123, 133, 107, 132, 143, 128, 151, 163, 138, 162, 170, 129, 156, 166, 137, 161, 171, 155, 175, 184, 168, 186, 195, 175, 190, 200, 162, 181, 192, 169, 186, 197, 169, 187, 197, 172, 189, 199, 160, 181, 193, 161, 181, 192, 180, 194, 204, 184, 198, 205, 190, 201, 207, 183, 198, 204,
   193, 205, 211, 195, 207, 212, 189, 204, 209, 188, 203, 209, 185, 201, 209, 185, 200, 210, 190, 205, 211, 186, 202, 209, 191, 204, 211, 190, 205, 211, 192, 206, 212, 182, 200, 206, 177, 196, 203, 174, 194, 202, 174, 194, 201, 180, 197, 205, 178, 196, 204, 176, 195, 203, 174, 193, 200, 186, 202, 208, 184, 199, 205,
   180, 197, 203, 177, 194, 202, 164, 186, 194, 169, 190, 198, 173, 193, 199, 173, 194, 199, 177, 195, 200, 170, 191, 196, 184, 200, 205, 185, 201, 206, 174, 193, 197, 166, 186, 193, 168, 185, 192, 168, 186, 192, 162, 182, 189, 157, 179, 187, 146, 172, 182, 140, 165, 176, 157, 178, 187, 157, 177, 186, 157, 178, 186,
   131, 154, 166, 134, 156, 166, 123, 147, 159, 115, 136, 147, 105, 124, 131, 112, 128, 134,  98, 115, 121,  51,  72,  78,  48,  63,  69,  27,  43,  49,  17,  35,  41,  17,  35,  40,  23,  42,  48,  25,  44,  51,  27,  48,  55,  54,  71,  78,  70,  88,  94,  92, 107, 113,  66,  87,  94,  82, 104, 109,  66,  91, 100,
    76, 100, 111, 112, 131, 140, 117, 134, 144,  90, 111, 122,  92, 114, 125,  89, 111, 122,  77, 100, 112,  93, 116, 128,  94, 120, 131,  99, 123, 135,  92, 119, 133, 102, 131, 145, 108, 142, 154, 123, 154, 166, 151, 176, 185, 172, 192, 199, 190, 206, 211, 190, 206, 212, 202, 216, 219, 210, 222, 224, 209, 221, 223,
   209, 222, 224, 212, 224, 226, 216, 227, 230, 220, 230, 233, 224, 234, 234, 226, 235, 235, 227, 236, 236, 226, 236, 236, 228, 238, 238, 232, 240, 240, 232, 240, 240, 233, 241, 240, 233, 241, 240, 236, 242, 241, 235, 241, 240, 236, 241, 240, 236, 242, 241, 236, 242, 241, 236, 243, 241, 237, 243, 242, 236, 242, 241,
    39,  22,  41,  42,  23,  44,  44,  25,  46,  45,  25,  47,  46,  26,  48,  47,  28,  49,  49,  31,  52,  51,  33,  54,  53,  36,  55,  57,  39,  58,  58,  43,  60,  61,  47,  67,  62,  51,  71,  67,  57,  76,  73,  65,  83,  79,  73,  89,  85,  82,  96,  91,  91, 103,  95,  97, 106, 103, 106, 115, 108, 111, 124,
   117, 122, 136, 122, 129, 143, 129, 137, 149, 129, 138, 151, 132, 141, 154, 135, 145, 157, 137, 146, 159, 139, 147, 160, 141, 152, 164, 144, 155, 167, 144, 157, 171, 147, 160, 174, 150, 167, 180, 155, 172, 184, 158, 177, 189, 160, 180, 192, 163, 183, 196, 168, 188, 200, 170, 190, 203, 169, 191, 203, 172, 193, 204,
   171, 193, 204, 172, 194, 205, 173, 195, 206, 173, 195, 206, 174, 196, 207, 175, 196, 207, 174, 196, 207, 175, 197, 208, 174, 196, 207, 175, 197, 208, 175, 197, 208, 175, 197, 208, 174, 197, 208, 175, 197, 208, 174, 196, 207, 174, 196, 207, 171, 195, 205, 171, 196, 206, 169, 195, 205, 169, 193, 205, 170, 195, 206,
   170, 194, 205, 172, 194, 206, 171, 194, 206, 171, 195, 207, 173, 195, 207, 173, 196, 207, 173, 196, 207, 174, 196, 207, 171, 195, 207, 171, 196, 206, 172, 195, 207, 170, 194, 206, 171, 195, 207, 170, 194, 206, 170, 195, 205, 170, 194, 206, 172, 195, 206, 172, 194, 205, 172, 194, 205, 171, 194, 205, 172, 195, 206,
   168, 193, 204, 171, 194, 206, 170, 194, 206, 172, 194, 206, 171, 195, 207, 173, 195, 207, 171, 194, 206, 171, 194, 206, 167, 192, 204, 164, 191, 203, 163, 189, 201, 163, 189, 201, 161, 187, 199, 162, 187, 199, 158, 184, 195, 153, 180, 193, 147, 173, 187, 139, 167, 183, 126, 155, 172, 117, 147, 164, 109, 139, 154,
    96, 125, 140,  83, 114, 129,  71, 102, 117,  70,  99, 111,  72,  95, 107,  58,  80,  89,  47,  65,  72,  36,  48,  54,  33,  44,  45,  32,  43,  44,  17,  28,  29,  25,  36,  41,  42,  53,  60,  65,  77,  86,  62,  74,  84,  61,  74,  83,  55,  69,  79,  54,  68,  77,  48,  62,  71,  54,  67,  75,  47,  60,  68,
    31,  45,  53,  35,  48,  54,  37,  48,  51,  94, 100, 104,  30,  40,  45,  52,  61,  65,  71,  79,  83,  36,  49,  53,  51,  61,  65,  40,  51,  55,  27,  38,  44,  27,  39,  46,  14,  26,  34,  54,  63,  70,  50,  58,  67,  41,  51,  58,  41,  52,  58,  38,  50,  54,  64,  72,  75,  39,  52,  52,  42,  55,  55,
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    53,  72,  81, 102, 118, 126, 107, 130, 141,  84, 112, 124, 104, 132, 143, 131, 155, 164, 150, 169, 177, 134, 157, 166, 139, 163, 172, 158, 178, 184, 167, 185, 192, 162, 181, 192, 171, 187, 197, 161, 181, 190, 145, 169, 182, 170, 188, 197, 169, 186, 197, 162, 181, 192, 171, 188, 197, 185, 198, 206, 179, 195, 201,
   177, 193, 201, 178, 195, 202, 188, 202, 208, 188, 202, 209, 192, 207, 213, 190, 205, 212, 199, 211, 217, 192, 205, 212, 190, 205, 212, 188, 203, 210, 183, 200, 207, 185, 201, 208, 186, 202, 208, 195, 208, 214, 185, 202, 210, 187, 203, 212, 188, 205, 212, 182, 199, 207, 185, 202, 208, 186, 203, 209, 193, 208, 214,
   195, 210, 216, 203, 216, 220, 203, 216, 221, 203, 216, 219, 200, 214, 219, 191, 210, 214, 191, 208, 211, 198, 211, 215, 194, 207, 212, 178, 197, 204, 181, 198, 205, 186, 202, 207, 183, 201, 207, 185, 201, 206, 170, 191, 198, 169, 190, 197, 170, 191, 198, 173, 192, 199, 148, 174, 184, 138, 166, 178, 128, 157, 169,
   130, 159, 171, 149, 172, 180, 132, 160, 172, 153, 175, 183, 122, 151, 161,  98, 126, 135,  92, 114, 123,  64,  87,  93,  41,  56,  62,  31,  47,  52,  32,  47,  52,  22,  40,  45,  28,  45,  52,  67,  81,  86,  36,  57,  63,  37,  59,  66,  46,  67,  74,  52,  74,  81,  72,  95, 102,  85, 109, 116, 106, 128, 136,
    88, 110, 123,  67,  95, 108,  61,  88, 102,  87, 112, 124,  84, 109, 121,  80, 105, 118,  98, 120, 130,  73,  99, 111,  62,  91, 104,  82, 110, 122,  78, 108, 120,  89, 121, 134, 110, 140, 150, 131, 158, 169, 145, 172, 181, 161, 184, 194, 170, 191, 199, 187, 205, 210, 186, 204, 209, 195, 211, 214, 210, 221, 224,
   206, 219, 222, 212, 225, 227, 219, 229, 231, 223, 231, 235, 224, 233, 234, 228, 236, 236, 226, 236, 236, 226, 236, 236, 228, 238, 238, 229, 238, 238, 231, 239, 239, 232, 240, 240, 233, 241, 240, 235, 241, 240, 235, 241, 240, 235, 241, 240, 235, 241, 240, 235, 241, 240, 235, 241, 240, 236, 242, 241, 236, 242, 241,
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   138, 147, 159, 143, 151, 163, 149, 157, 169, 154, 164, 174, 157, 167, 177, 157, 169, 178, 158, 170, 181, 158, 171, 182, 158, 172, 183, 158, 172, 184, 159, 173, 185, 161, 176, 188, 164, 178, 190, 164, 181, 193, 165, 184, 196, 168, 188, 200, 167, 189, 201, 169, 190, 202, 170, 192, 203, 171, 193, 204, 171, 193, 205,
   173, 195, 207, 173, 195, 207, 172, 194, 206, 173, 195, 207, 173, 195, 207, 173, 195, 206, 173, 195, 206, 174, 197, 208, 173, 197, 207, 173, 196, 207, 175, 197, 207, 174, 197, 207, 174, 196, 207, 173, 196, 207, 171, 195, 206, 170, 194, 206, 169, 193, 205, 169, 193, 205, 169, 194, 204, 167, 193, 205, 169, 193, 205,
   169, 193, 205, 170, 193, 205, 169, 193, 205, 171, 194, 206, 171, 194, 206, 170, 194, 206, 172, 195, 207, 171, 194, 207, 170, 195, 205, 169, 193, 205, 169, 194, 206, 169, 193, 205, 167, 193, 205, 169, 193, 205, 169, 194, 205, 170, 193, 206, 170, 194, 205, 172, 194, 205, 171, 193, 204, 171, 193, 204, 170, 194, 204,
   171, 195, 205, 168, 193, 204, 168, 193, 205, 169, 193, 205, 170, 194, 206, 171, 194, 206, 170, 193, 205, 169, 193, 205, 168, 192, 204, 166, 191, 203, 164, 189, 201, 163, 189, 201, 162, 188, 200, 164, 188, 200, 163, 187, 198, 157, 183, 197, 153, 179, 193, 141, 169, 184, 127, 157, 172, 108, 139, 153,  94, 126, 141,
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    37,  50,  52,  29,  41,  44,  30,  43,  48,  21,  36,  41,  30,  43,  50,  40,  53,  60,  32,  44,  51,  34,  43,  50,  27,  36,  43,  28,  37,  42,   1,   6,  14,  12,  16,  20,   5,   7,  12,   5,   7,  14,   7,  10,  15,   5,   7,  13,  12,  14,  20,   0,   0,   0,  30,  32,  38,   9,  12,  18,  27,  36,  41,
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   168, 188, 198, 172, 190, 199, 172, 189, 198, 181, 196, 205, 182, 198, 206, 183, 200, 208, 189, 205, 212, 181, 199, 206, 190, 204, 212, 192, 207, 214, 187, 202, 210, 186, 203, 210, 176, 195, 204, 167, 191, 200, 174, 194, 205, 179, 199, 208, 180, 199, 208, 182, 201, 209, 185, 203, 209, 185, 202, 208, 185, 203, 210,
   180, 201, 208, 191, 208, 214, 191, 208, 213, 186, 203, 208, 179, 200, 205, 179, 201, 206, 163, 189, 195, 154, 182, 192, 169, 191, 200, 177, 197, 204, 173, 194, 201, 170, 192, 199, 165, 188, 197, 170, 192, 200, 184, 201, 207, 183, 201, 207, 174, 195, 202, 161, 186, 195, 154, 182, 191, 159, 184, 192, 158, 183, 189,
   167, 190, 193, 166, 187, 193, 156, 179, 185, 163, 182, 189, 140, 165, 175, 138, 160, 169, 120, 144, 154, 104, 130, 141, 112, 136, 148, 115, 137, 148, 133, 152, 161, 121, 141, 150, 116, 136, 145, 109, 131, 138,  77, 105, 113, 100, 127, 135, 104, 129, 138, 107, 130, 140, 116, 138, 146, 108, 133, 141, 120, 141, 150,
   131, 151, 161, 139, 156, 164, 125, 146, 155, 112, 134, 146, 136, 153, 163, 125, 146, 155, 108, 130, 141,  97, 122, 132,  92, 118, 129,  79, 110, 121,  97, 126, 137, 105, 135, 143, 119, 146, 156, 129, 158, 168, 149, 173, 184, 167, 187, 195, 170, 191, 199, 174, 196, 203, 192, 209, 212, 196, 210, 214, 192, 207, 210,
   201, 215, 218, 210, 222, 225, 220, 229, 232, 224, 233, 235, 225, 235, 235, 227, 236, 236, 227, 237, 237, 228, 237, 237, 229, 238, 238, 229, 238, 238, 233, 241, 241, 232, 240, 239, 233, 241, 240, 232, 241, 240, 235, 241, 240, 235, 241, 240, 236, 242, 241, 235, 241, 240, 237, 243, 242, 237, 243, 242, 237, 242, 241,
    43,  27,  45,  45,  29,  48,  44,  28,  46,  45,  30,  47,  48,  34,  50,  49,  38,  54,  53,  41,  58,  57,  47,  64,  62,  53,  70,  67,  61,  77,  75,  71,  86,  82,  81,  96,  92,  94, 106,  99, 106, 118, 110, 118, 129, 118, 127, 136, 123, 135, 146, 134, 145, 155, 144, 154, 162, 149, 159, 169, 152, 164, 174,
   160, 170, 180, 163, 173, 184, 166, 177, 187, 171, 181, 191, 171, 182, 191, 171, 183, 193, 172, 183, 194, 172, 184, 194, 173, 185, 195, 172, 185, 195, 171, 186, 197, 171, 186, 198, 171, 188, 200, 172, 190, 201, 171, 190, 201, 171, 191, 202, 171, 192, 203, 171, 193, 204, 173, 194, 205, 172, 195, 206, 172, 194, 206,
   172, 194, 206, 174, 196, 207, 173, 195, 207, 173, 195, 206, 173, 195, 207, 173, 195, 207, 172, 195, 207, 171, 195, 207, 172, 197, 208, 172, 196, 207, 172, 196, 206, 172, 196, 207, 172, 196, 206, 171, 196, 206, 170, 195, 205, 170, 194, 206, 168, 193, 205, 166, 192, 204, 167, 193, 205, 166, 192, 204, 168, 193, 205,
   168, 192, 204, 168, 192, 204, 167, 191, 203, 168, 192, 204, 168, 193, 205, 168, 193, 204, 168, 193, 203, 169, 194, 204, 167, 193, 203, 167, 192, 204, 166, 191, 203, 167, 192, 204, 169, 193, 205, 169, 193, 205, 168, 192, 204, 169, 193, 204, 170, 193, 205, 171, 193, 204, 171, 193, 204, 170, 193, 204, 169, 192, 203,
   168, 192, 203, 169, 193, 205, 170, 194, 205, 168, 192, 204, 169, 193, 205, 167, 191, 203, 168, 192, 204, 168, 192, 204, 167, 191, 203, 166, 191, 203, 167, 191, 203, 164, 189, 201, 162, 187, 199, 162, 186, 199, 161, 186, 200, 155, 181, 195, 150, 176, 191, 139, 168, 183, 119, 151, 166, 102, 133, 148,  87, 116, 130,
    68, 100, 112,  71, 100, 113,  59,  87,  99,  64,  88,  99,  54,  78,  90,  54,  72,  82,  61,  71,  77,  22,  30,  32,  24,  28,  25,  69,  64,  59,  50,  53,  51,  19,  23,  23,   6,  12,  10,   2,   8,   6,  21,  29,  28,  58,  66,  67,  48,  62,  69,  45,  59,  66,  46,  60,  67,  38,  53,  57,  47,  61,  64,
    46,  60,  63,  31,  46,  48,  47,  57,  60,  28,  38,  42,  32,  43,  46,  53,  62,  66,  27,  39,  44,  57,  66,  70,  25,  36,  40,  30,  40,  44,  52,  59,  63,  17,  28,  33,  26,  37,  42,  29,  39,  47,  43,  52,  60,  21,  32,  37,  49,  59,  63,  21,  32,  35,  45,  56,  58,  28,  41,  42,  34,  47,  48,
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     6,  11,  18,  22,  27,  34,  73,  78,  85,  91, 106, 113,  58,  78,  86,  87, 111, 121, 128, 145, 152, 121, 143, 152, 133, 153, 162, 128, 151, 160, 148, 166, 175, 168, 181, 191, 139, 160, 173, 148, 166, 179, 161, 178, 188, 166, 182, 193, 150, 170, 183, 156, 176, 186, 152, 173, 183, 168, 186, 194, 171, 190, 199,
   167, 185, 196, 171, 188, 198, 174, 190, 200, 168, 186, 198, 167, 189, 200, 183, 200, 209, 186, 202, 209, 190, 206, 213, 177, 197, 206, 187, 203, 212, 185, 202, 210, 190, 206, 213, 190, 207, 214, 194, 210, 217, 188, 204, 211, 187, 204, 211, 189, 206, 213, 193, 209, 216, 183, 201, 209, 182, 202, 208, 188, 206, 212,
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   183, 201, 206, 149, 178, 185, 170, 190, 195, 172, 190, 194, 135, 162, 170, 137, 161, 170, 124, 150, 161, 119, 146, 159, 108, 139, 151, 118, 145, 158, 122, 148, 158, 133, 155, 166, 144, 164, 173, 142, 164, 172, 146, 168, 174, 140, 164, 170, 161, 178, 185, 152, 171, 179, 147, 164, 173, 136, 157, 167, 123, 150, 160,
   138, 161, 170, 136, 155, 165, 120, 143, 154, 146, 162, 171, 134, 153, 164, 146, 161, 170, 121, 142, 151,  89, 116, 128,  84, 113, 124,  85, 115, 126,  71, 106, 115,  84, 119, 130, 101, 135, 147, 106, 143, 157, 134, 164, 176, 157, 181, 190, 168, 191, 198, 176, 197, 204, 189, 207, 212, 192, 208, 212, 199, 214, 217,
   205, 218, 221, 206, 220, 222, 214, 226, 228, 224, 232, 235, 229, 237, 237, 226, 235, 235, 228, 237, 237, 227, 237, 237, 228, 239, 239, 231, 240, 240, 231, 239, 239, 232, 240, 239, 234, 242, 241, 234, 241, 240, 234, 241, 240, 236, 242, 241, 237, 243, 242, 236, 242, 241, 237, 243, 242, 237, 243, 242, 237, 243, 242,
    40,  25,  45,  43,  28,  46,  43,  28,  46,  48,  36,  51,  49,  37,  53,  53,  43,  59,  57,  47,  63,  61,  55,  70,  71,  68,  83,  82,  83,  98,  91,  94, 108,  99, 105, 118, 110, 117, 130, 123, 132, 142, 131, 141, 151, 140, 151, 161, 148, 159, 170, 155, 166, 176, 161, 173, 181, 164, 178, 187, 170, 182, 191,
   175, 185, 195, 175, 186, 196, 178, 189, 199, 180, 191, 201, 179, 193, 202, 180, 193, 203, 181, 195, 204, 181, 194, 203, 180, 195, 204, 181, 196, 205, 180, 195, 204, 178, 196, 205, 176, 195, 206, 176, 195, 206, 175, 194, 205, 176, 195, 206, 175, 195, 206, 174, 194, 206, 175, 195, 207, 173, 195, 207, 173, 195, 207,
   174, 196, 208, 174, 196, 208, 174, 196, 208, 175, 197, 208, 173, 195, 207, 174, 196, 208, 174, 196, 208, 172, 197, 207, 172, 196, 208, 171, 195, 207, 171, 196, 207, 170, 195, 206, 170, 194, 206, 170, 194, 206, 169, 193, 205, 167, 192, 204, 167, 192, 204, 168, 192, 204, 166, 191, 203, 166, 192, 204, 166, 191, 203,
   167, 192, 204, 167, 191, 203, 167, 191, 203, 167, 192, 204, 168, 193, 204, 166, 191, 202, 167, 192, 202, 167, 192, 202, 165, 191, 201, 166, 191, 201, 167, 191, 203, 167, 191, 203, 167, 191, 203, 167, 191, 203, 168, 192, 204, 169, 193, 204, 169, 193, 204, 170, 192, 204, 171, 193, 204, 171, 193, 205, 170, 193, 205,
   168, 192, 204, 168, 192, 204, 166, 192, 204, 166, 191, 203, 167, 192, 204, 168, 192, 204, 168, 192, 204, 167, 191, 203, 168, 192, 204, 167, 191, 203, 165, 189, 204, 162, 188, 201, 162, 187, 199, 162, 187, 199, 162, 187, 200, 162, 186, 199, 156, 180, 194, 139, 168, 182, 120, 152, 167,  98, 127, 142,  79, 106, 118,
    64,  89, 101,  53,  79,  92,  52,  75,  88,  59,  75,  87,  61,  76,  86,  50,  66,  75,  51,  59,  65,  18,  25,  26,  61,  57,  51,  92,  80,  72,  36,  37,  33,  33,  35,  32,  26,  30,  26,  19,  22,  19,   1,   5,   3,  15,  22,  23,  61,  70,  75,  57,  67,  73,  41,  55,  61,  39,  53,  56,  51,  63,  66,
    58,  69,  72,  41,  53,  56,  30,  42,  44,  42,  52,  56,  35,  45,  49,  43,  52,  57,  47,  58,  64,  37,  48,  53,  47,  56,  60,  28,  39,  43,  27,  37,  41,  53,  63,  65,  29,  40,  43,  24,  36,  39,  35,  46,  50,  39,  50,  54,  33,  44,  48,  32,  43,  46,  35,  47,  51,  18,  30,  34,  35,  46,  50,
    28,  41,  46,  40,  53,  56,  22,  35,  39,  32,  44,  49,  35,  45,  52,  33,  44,  51,  28,  38,  45,  19,  28,  32,  10,  13,  17,   7,   9,  12,   5,   8,  12,  11,  10,  14,  10,  11,  15,   7,   8,  12,   9,   9,  14,   5,   6,  12,   6,   8,  14,  11,  11,  18,   5,   6,  12,  10,  12,  16,   5,   7,  13,
    10,  12,  17,  15,  17,  23,  25,  28,  35,  47,  54,  59, 102, 114, 120,  88, 103, 111, 111, 126, 133, 131, 148, 155, 114, 138, 145, 141, 162, 170, 124, 146, 158, 141, 160, 173, 173, 184, 193, 134, 155, 171, 131, 153, 170, 137, 158, 173, 152, 171, 184, 161, 178, 188, 153, 174, 184, 142, 166, 179, 161, 181, 193,
   166, 186, 197, 161, 181, 193, 161, 182, 193, 167, 185, 198, 178, 194, 204, 188, 203, 210, 169, 191, 200, 182, 200, 208, 178, 198, 206, 174, 195, 204, 188, 206, 212, 178, 199, 206, 175, 197, 204, 178, 198, 206, 179, 200, 207, 190, 206, 213, 188, 205, 213, 191, 208, 215, 198, 212, 217, 194, 210, 216, 191, 208, 214,
   187, 205, 212, 186, 206, 212, 191, 210, 215, 195, 212, 216, 201, 217, 221, 192, 212, 216, 197, 213, 218, 193, 209, 214, 195, 211, 216, 191, 208, 215, 177, 198, 207, 172, 196, 204, 176, 200, 207, 187, 207, 213, 191, 209, 215, 192, 209, 215, 204, 217, 222, 201, 215, 220, 194, 211, 217, 188, 206, 211, 188, 206, 211,
   186, 203, 209, 184, 202, 208, 186, 203, 208, 170, 192, 198, 183, 198, 202, 173, 188, 193, 157, 175, 183, 163, 179, 187, 132, 157, 168, 111, 141, 153, 137, 160, 171, 146, 166, 175, 139, 161, 171, 129, 155, 164, 147, 168, 174, 154, 173, 179, 153, 173, 181, 141, 166, 175, 149, 168, 176, 149, 168, 177, 146, 165, 174,
   130, 153, 163, 114, 139, 150, 101, 128, 142, 115, 140, 152, 121, 144, 157, 124, 146, 158, 120, 141, 152, 106, 130, 142, 122, 143, 154, 128, 151, 158, 124, 148, 157, 120, 146, 156, 135, 160, 169, 144, 169, 178, 152, 176, 186, 165, 186, 193, 176, 196, 203, 184, 203, 209, 195, 209, 215, 200, 214, 219, 202, 216, 219,
   202, 216, 220, 204, 218, 220, 214, 226, 228, 221, 231, 231, 226, 234, 234, 228, 236, 236, 227, 236, 236, 229, 238, 238, 230, 239, 239, 230, 240, 240, 232, 240, 240, 231, 239, 239, 232, 240, 239, 234, 241, 240, 235, 242, 241, 236, 242, 241, 236, 242, 241, 237, 243, 242, 237, 243, 242, 237, 243, 242, 238, 243, 242,
    38,  23,  42,  40,  25,  43,  45,  31,  50,  45,  35,  51,  50,  41,  57,  58,  50,  66,  62,  57,  70,  72,  70,  84,  79,  80,  94,  92,  96, 110, 106, 110, 123, 124, 130, 144, 131, 142, 154, 143, 153, 163, 154, 164, 174, 159, 171, 180, 165, 178, 186, 170, 183, 191, 174, 187, 195, 178, 191, 199, 181, 194, 203,
   183, 196, 205, 185, 198, 205, 185, 198, 208, 186, 201, 209, 185, 200, 209, 187, 202, 210, 185, 201, 209, 186, 202, 209, 185, 200, 209, 184, 200, 208, 182, 199, 208, 182, 200, 208, 179, 199, 210, 179, 199, 210, 178, 198, 209, 176, 197, 208, 176, 197, 208, 177, 198, 209, 175, 197, 209, 175, 197, 209, 175, 197, 209,
   174, 196, 208, 175, 197, 209, 175, 197, 208, 174, 196, 208, 175, 197, 208, 174, 196, 208, 173, 196, 207, 172, 197, 208, 172, 196, 207, 170, 195, 206, 171, 194, 207, 170, 194, 206, 171, 194, 206, 169, 193, 205, 169, 193, 204, 167, 192, 204, 168, 192, 204, 168, 192, 204, 166, 192, 204, 164, 191, 203, 164, 190, 202,
   167, 191, 203, 166, 190, 203, 167, 191, 203, 167, 191, 203, 166, 190, 202, 166, 191, 201, 166, 191, 202, 166, 191, 201, 166, 191, 201, 165, 190, 202, 165, 190, 201, 167, 190, 202, 166, 190, 202, 167, 191, 203, 166, 190, 202, 167, 191, 203, 168, 192, 203, 168, 192, 203, 169, 192, 204, 168, 191, 203, 168, 191, 203,
   166, 191, 203, 165, 190, 202, 164, 190, 202, 166, 190, 202, 166, 190, 202, 166, 190, 202, 166, 190, 202, 166, 190, 202, 165, 189, 201, 165, 188, 202, 164, 187, 202, 162, 187, 202, 162, 187, 200, 160, 185, 199, 160, 185, 199, 158, 182, 196, 150, 176, 191, 140, 167, 184, 122, 149, 165,  91, 119, 134,  76, 101, 114,
    57,  80,  92,  51,  73,  85,  44,  68,  78,  45,  66,  74,  56,  73,  80,  58,  73,  80,  41,  48,  47,  27,  27,  24,  79,  71,  63,  87,  77,  70,  41,  43,  39,  44,  44,  40,  39,  40,  36,  44,  45,  40,  29,  31,  28,  15,  21,  20,  27,  32,  35,  54,  65,  69,  44,  57,  64,  46,  58,  62,  50,  62,  66,
    54,  65,  69,  48,  60,  63,  41,  51,  55,  34,  44,  48,  35,  45,  49,  45,  56,  60,  38,  50,  56,  57,  66,  73,  48,  58,  63,  44,  53,  57,  36,  47,  49,  55,  64,  67,  44,  55,  58,  35,  48,  50,  25,  39,  43,  46,  57,  62,  60,  71,  75,  20,  34,  39,  28,  40,  44,  49,  59,  63,  31,  42,  46,
    30,  42,  47,  29,  43,  47,  21,  33,  37,  36,  48,  52,  46,  58,  61,  34,  46,  51,  10,  23,  25,  20,  28,  30,   2,   7,   9,   6,   9,  11,   9,  10,  12,   8,  10,  11,  10,  11,  15,  10,  11,  14,  10,  12,  16,   4,   5,  11,   1,   1,   9,  11,  12,  19,   3,   4,  11,   6,   8,  14,  14,  15,  21,
    11,  13,  18,  17,  18,  23,  36,  38,  43,  21,  24,  30,  67,  76,  80,  74,  88,  93,  72,  90,  97, 111, 125, 132, 135, 150, 154,  96, 116, 123, 152, 168, 176, 136, 155, 167, 105, 132, 150, 169, 181, 192, 151, 166, 178, 133, 156, 170, 108, 138, 157, 131, 156, 171, 166, 182, 193, 144, 167, 180, 143, 169, 182,
   164, 183, 193, 159, 178, 191, 148, 170, 184, 162, 180, 192, 147, 169, 184, 142, 169, 185, 183, 200, 207, 172, 193, 203, 185, 202, 209, 182, 202, 208, 175, 197, 204, 186, 204, 210, 177, 198, 206, 182, 202, 208, 184, 203, 210, 180, 200, 208, 180, 199, 208, 177, 199, 207, 184, 203, 210, 189, 206, 213, 190, 207, 213,
   189, 208, 214, 190, 208, 214, 199, 214, 220, 198, 214, 218, 204, 217, 222, 204, 218, 222, 200, 215, 220, 202, 216, 221, 192, 210, 216, 182, 203, 211, 178, 200, 209, 181, 202, 210, 192, 210, 216, 187, 206, 212, 187, 207, 213, 192, 209, 216, 185, 204, 211, 187, 205, 212, 187, 204, 211, 190, 207, 215, 179, 200, 207,
   181, 201, 206, 177, 197, 203, 179, 199, 205, 170, 192, 199, 167, 188, 194, 171, 188, 194, 166, 184, 190, 143, 164, 175, 153, 173, 182, 137, 160, 172, 143, 165, 175, 141, 162, 174, 119, 146, 159, 126, 152, 164, 130, 156, 166, 135, 160, 170, 150, 171, 180, 170, 186, 193, 146, 169, 178, 140, 163, 172, 139, 160, 170,
   148, 167, 175, 144, 163, 172, 118, 141, 153, 110, 139, 152, 105, 136, 149, 118, 146, 158, 123, 148, 159, 115, 141, 154, 113, 140, 154, 103, 134, 148, 100, 134, 147,  98, 134, 144, 106, 141, 151, 114, 149, 162, 139, 168, 177, 159, 184, 191, 171, 192, 199, 183, 202, 207, 194, 208, 214, 200, 214, 219, 210, 222, 226,
   211, 222, 226, 205, 220, 222, 207, 221, 223, 217, 229, 230, 223, 233, 233, 228, 236, 235, 229, 237, 237, 229, 238, 238, 230, 238, 238, 229, 238, 239, 231, 239, 238, 233, 241, 240, 234, 241, 240, 233, 240, 239, 235, 242, 241, 236, 242, 241, 236, 242, 241, 236, 242, 241, 236, 242, 242, 236, 243, 241, 237, 242, 241,
    36,  22,  41,  43,  30,  48,  45,  33,  51,  47,  38,  54,  50,  45,  60,  58,  54,  68,  68,  66,  81,  78,  80,  93,  93,  98, 112, 106, 114, 127, 123, 131, 144, 139, 147, 160, 153, 162, 174, 162, 172, 182, 168, 178, 187, 174, 186, 194, 179, 190, 198, 182, 194, 202, 183, 197, 205, 186, 199, 207, 187, 201, 209,
   189, 203, 211, 189, 204, 211, 191, 205, 213, 189, 204, 213, 190, 205, 214, 189, 205, 212, 189, 205, 212, 188, 205, 212, 186, 205, 213, 185, 203, 212, 185, 204, 212, 182, 202, 210, 182, 202, 210, 180, 200, 210, 180, 200, 211, 179, 200, 211, 180, 200, 211, 179, 200, 211, 177, 199, 210, 177, 199, 211, 177, 199, 209,
   176, 198, 209, 174, 196, 209, 175, 197, 209, 173, 196, 207, 173, 196, 208, 173, 196, 207, 171, 195, 207, 170, 194, 206, 171, 195, 207, 171, 195, 207, 169, 193, 205, 170, 193, 206, 170, 193, 206, 169, 193, 205, 169, 193, 204, 166, 191, 203, 168, 192, 204, 168, 191, 205, 166, 191, 203, 166, 192, 204, 165, 190, 202,
   165, 190, 202, 166, 190, 202, 167, 191, 204, 167, 191, 202, 166, 190, 202, 166, 190, 202, 166, 189, 201, 166, 190, 202, 165, 189, 202, 166, 190, 202, 165, 189, 201, 164, 188, 201, 165, 188, 202, 164, 189, 200, 164, 189, 201, 164, 189, 201, 165, 190, 202, 166, 189, 202, 166, 190, 202, 166, 190, 203, 167, 191, 203,
   164, 189, 202, 164, 189, 202, 165, 190, 203, 165, 190, 203, 165, 190, 202, 164, 188, 200, 165, 189, 201, 165, 189, 201, 162, 187, 200, 163, 187, 202, 160, 186, 200, 158, 184, 198, 159, 185, 197, 157, 183, 197, 155, 181, 195, 152, 178, 193, 148, 174, 189, 137, 163, 181, 118, 145, 162,  85, 113, 127,  68,  94, 105,
    62,  83,  94,  44,  65,  75,  47,  68,  75,  63,  80,  86,  72,  88,  95,  58,  71,  76,  36,  41,  41,  45,  44,  42,  89,  81,  74,  82,  73,  67,  41,  42,  37,  47,  48,  44,  33,  34,  30,  39,  38,  35,  40,  40,  38,   7,  11,  10,   4,   9,  12,  43,  52,  58,  58,  68,  75,  49,  64,  69,  53,  63,  67,
    49,  62,  66,  51,  63,  67,  38,  51,  56,  42,  54,  58,  46,  58,  62,  54,  63,  68,  46,  57,  63,  54,  64,  69,  44,  55,  61,  49,  60,  64,  62,  74,  76,  34,  48,  50,  57,  69,  71,  63,  75,  78,  34,  47,  53,  45,  57,  63,  36,  50,  56,  64,  75,  80,  36,  48,  53,  38,  52,  56,  35,  47,  52,
    53,  64,  69,  34,  48,  52,  34,  47,  51,  36,  48,  52,  44,  55,  59,  38,  48,  52,  17,  29,  30,  11,  18,  20,   6,  10,  11,   9,  12,  12,   8,  10,  11,  17,  19,  20,  11,  11,  13,  18,  19,  23,   6,   9,  15,   4,   6,  12,   3,   6,  12,   7,   9,  14,   6,   9,  16,   5,   7,  13,   6,   8,  13,
     6,   8,  13,  26,  28,  31,  19,  26,  24,  33,  35,  39,  14,  18,  22,  48,  52,  56,  83,  93,  98,  93, 106, 110,  67,  86,  91, 134, 148, 153, 131, 147, 154, 133, 149, 160, 148, 163, 172, 108, 135, 153, 145, 163, 176, 144, 163, 177, 128, 151, 167, 129, 152, 167, 115, 141, 158, 150, 169, 182, 136, 159, 173,
   132, 156, 172, 139, 161, 176, 149, 169, 181, 149, 169, 181, 151, 172, 184, 160, 180, 193, 149, 174, 189, 166, 188, 199, 175, 195, 204, 172, 194, 201, 173, 194, 203, 177, 198, 205, 177, 198, 206, 181, 200, 208, 179, 199, 208, 188, 205, 212, 185, 204, 211, 185, 204, 211, 182, 202, 208, 184, 203, 209, 186, 206, 212,
   182, 203, 210, 189, 208, 214, 195, 212, 218, 198, 215, 220, 199, 216, 220, 200, 216, 222, 192, 211, 217, 197, 214, 220, 201, 216, 223, 200, 215, 222, 188, 207, 215, 182, 203, 211, 176, 201, 208, 163, 192, 201, 176, 200, 208, 174, 198, 206, 170, 195, 204, 183, 203, 210, 180, 200, 209, 186, 203, 211, 186, 204, 211,
   182, 200, 207, 180, 199, 205, 155, 182, 193, 161, 185, 195, 179, 196, 204, 170, 190, 197, 181, 197, 202, 162, 183, 191, 175, 191, 199, 165, 184, 193, 142, 165, 177, 149, 169, 178, 143, 165, 176, 116, 147, 160, 121, 148, 160, 138, 162, 173, 136, 161, 172, 139, 165, 175, 159, 179, 187, 171, 188, 194, 160, 178, 185,
   151, 169, 178, 144, 164, 173, 119, 145, 157, 120, 146, 159, 115, 145, 156, 126, 153, 163, 124, 149, 160, 122, 147, 159, 124, 149, 161, 140, 162, 174, 149, 169, 179, 140, 163, 173, 117, 148, 160, 125, 154, 165, 145, 172, 180, 152, 179, 186, 167, 190, 197, 175, 197, 202, 186, 203, 211, 190, 207, 214, 201, 216, 220,
   209, 221, 225, 213, 225, 227, 214, 226, 228, 218, 229, 230, 219, 230, 230, 228, 235, 235, 230, 238, 238, 229, 237, 237, 231, 239, 238, 233, 240, 240, 232, 241, 239, 234, 240, 240, 236, 243, 242, 235, 242, 241, 236, 242, 241, 236, 242, 241, 236, 242, 241, 236, 242, 241, 237, 243, 242, 236, 242, 241, 237, 243, 241,
    37,  25,  43,  38,  27,  45,  43,  34,  50,  46,  37,  53,  54,  48,  62,  61,  59,  70,  69,  71,  85,  84,  87, 101,  98, 105, 118, 119, 128, 142, 137, 146, 159, 150, 159, 172, 163, 172, 182, 173, 182, 192, 180, 190, 200, 185, 195, 203, 187, 199, 207, 188, 201, 209, 189, 202, 210, 191, 205, 212, 190, 206, 213,
   190, 206, 213, 191, 207, 214, 190, 206, 213, 192, 208, 215, 191, 207, 214, 189, 206, 213, 190, 207, 214, 189, 206, 214, 188, 205, 214, 186, 204, 212, 187, 206, 214, 185, 204, 212, 185, 204, 212, 182, 202, 213, 182, 203, 212, 180, 202, 213, 179, 201, 212, 179, 200, 213, 178, 200, 212, 177, 199, 210, 176, 198, 210,
   174, 196, 208, 174, 196, 208, 173, 196, 208, 171, 195, 207, 171, 194, 206, 170, 194, 206, 170, 194, 206, 171, 195, 207, 169, 193, 205, 169, 193, 205, 169, 193, 206, 170, 193, 206, 170, 193, 205, 168, 192, 204, 169, 193, 205, 166, 191, 203, 164, 190, 202, 164, 190, 203, 166, 190, 205, 163, 189, 202, 165, 189, 201,
   164, 189, 201, 164, 189, 201, 164, 188, 200, 165, 188, 202, 164, 188, 201, 164, 188, 201, 164, 188, 200, 164, 187, 200, 163, 187, 200, 163, 187, 200, 162, 187, 200, 161, 186, 199, 160, 186, 200, 160, 185, 199, 159, 185, 197, 159, 185, 197, 161, 186, 198, 161, 186, 198, 163, 187, 199, 163, 188, 200, 164, 188, 200,
   164, 188, 203, 164, 187, 202, 164, 187, 200, 165, 189, 201, 164, 188, 200, 166, 190, 202, 164, 188, 201, 163, 187, 200, 161, 186, 199, 158, 185, 199, 156, 182, 196, 152, 178, 195, 151, 178, 193, 147, 177, 191, 147, 175, 191, 146, 174, 190, 139, 168, 185, 124, 153, 173,  97, 129, 148,  84, 111, 125,  72,  96, 107,
    63,  83,  92,  54,  73,  82,  65,  82,  89,  70,  86,  92,  79,  92,  97,  51,  63,  68,  40,  43,  43,  46,  43,  40,  81,  73,  67,  70,  63,  59,  41,  41,  37,  32,  33,  28,  25,  27,  24,  32,  30,  28,  35,  32,  31,  15,  15,  16,   3,   4,   8,  23,  27,  32,  58,  68,  73,  57,  68,  74,  45,  57,  61,
    48,  61,  65,  47,  58,  63,  47,  59,  63,  47,  58,  64,  48,  59,  64,  69,  76,  81,  26,  38,  46,  50,  60,  67,  59,  70,  76,  59,  72,  75,  63,  75,  79,  49,  61,  66,  38,  50,  56,  74,  83,  88,  68,  77,  82,  47,  60,  66,  51,  63,  69,  46,  59,  64,  47,  60,  64,  35,  50,  54,  35,  49,  55,
    59,  70,  74,  31,  45,  49,  41,  53,  57,  35,  47,  51,  54,  64,  68,  26,  37,  42,  11,  21,  24,   6,  13,  15,   7,  10,  17,   7,   8,  14,  12,  13,  15,  14,  14,  16,  15,  15,  18,  23,  25,  28,   1,   3,   8,  13,  16,  21,   5,   8,  14,   6,   8,  14,   3,   3,  10,   0,   1,   9,   2,   2,   9,
    99,  95, 105,  14,  15,  14, 185, 191, 162,  37,  39,  42, 116, 117, 118,  51,  51,  50,  61,  63,  62,  99, 101, 102, 119, 122, 122,  96, 103, 104, 143, 151, 153, 165, 172, 175, 138, 152, 161, 145, 162, 171, 123, 144, 157, 142, 160, 174, 150, 165, 177, 134, 154, 168, 126, 146, 162, 118, 140, 156, 130, 151, 165,
   126, 153, 167, 147, 167, 180, 125, 151, 164, 117, 147, 161, 139, 164, 176, 141, 167, 181, 154, 176, 190, 154, 179, 193, 148, 176, 190, 161, 185, 196, 159, 186, 195, 166, 189, 198, 174, 196, 204, 169, 192, 201, 171, 193, 203, 156, 185, 196, 156, 184, 196, 165, 192, 201, 183, 203, 209, 181, 202, 208, 177, 200, 206,
   186, 206, 212, 188, 207, 214, 183, 204, 211, 189, 208, 215, 195, 212, 218, 200, 216, 222, 198, 214, 220, 197, 214, 221, 199, 216, 222, 195, 212, 220, 194, 211, 220, 199, 214, 220, 202, 216, 221, 203, 217, 222, 197, 212, 218, 179, 201, 208, 173, 197, 206, 169, 194, 203, 165, 192, 201, 160, 188, 198, 167, 191, 200,
   174, 195, 201, 180, 199, 207, 173, 194, 203, 172, 194, 203, 165, 188, 197, 164, 189, 197, 171, 192, 199, 181, 199, 205, 169, 189, 198, 170, 187, 197, 166, 183, 192, 150, 171, 181, 141, 165, 173, 142, 166, 175, 151, 170, 180, 137, 162, 173, 120, 152, 164, 127, 157, 169, 125, 154, 168, 158, 178, 186, 157, 176, 184,
   169, 184, 191, 142, 163, 173, 140, 163, 173, 136, 162, 174, 141, 163, 172, 130, 154, 165, 134, 155, 167, 143, 163, 173, 137, 159, 172, 134, 159, 172, 126, 155, 168, 137, 162, 174, 137, 163, 175, 148, 171, 181, 151, 175, 184, 157, 181, 188, 167, 191, 197, 170, 193, 200, 183, 201, 208, 196, 212, 217, 198, 214, 219,
   207, 220, 224, 216, 228, 230, 220, 231, 231, 218, 229, 232, 226, 234, 236, 222, 233, 233, 228, 236, 236, 229, 237, 237, 229, 237, 237, 230, 238, 238, 232, 240, 240, 233, 241, 241, 233, 242, 240, 235, 242, 242, 236, 242, 241, 236, 242, 241, 235, 242, 241, 236, 242, 241, 236, 242, 241, 237, 243, 242, 237, 243, 242,
    33,  23,  40,  37,  27,  44,  43,  33,  50,  47,  40,  55,  53,  50,  62,  63,  62,  74,  73,  76,  87,  88,  94, 107, 105, 114, 127, 125, 136, 148, 145, 155, 167, 160, 170, 181, 169, 181, 191, 177, 189, 199, 185, 196, 206, 189, 202, 211, 191, 205, 212, 192, 205, 213, 194, 206, 214, 193, 208, 215, 193, 207, 215,
   192, 208, 215, 191, 207, 214, 191, 208, 215, 190, 207, 214, 189, 208, 214, 190, 208, 215, 189, 207, 215, 188, 206, 215, 188, 207, 215, 188, 207, 215, 186, 205, 213, 186, 205, 213, 184, 203, 212, 182, 203, 213, 182, 203, 212, 179, 201, 212, 180, 201, 212, 177, 200, 212, 176, 199, 211, 176, 199, 210, 175, 197, 209,
   172, 195, 207, 171, 195, 207, 169, 194, 206, 169, 193, 205, 168, 192, 204, 167, 192, 204, 166, 191, 204, 166, 191, 205, 166, 192, 204, 167, 191, 203, 166, 192, 204, 168, 192, 205, 167, 191, 204, 166, 190, 203, 163, 190, 204, 165, 190, 204, 166, 189, 202, 162, 188, 202, 163, 189, 203, 164, 187, 201, 163, 186, 201,
   162, 187, 199, 161, 186, 200, 160, 186, 200, 162, 187, 200, 161, 186, 200, 159, 185, 199, 159, 184, 199, 159, 185, 199, 158, 184, 198, 157, 183, 197, 156, 183, 197, 156, 183, 197, 155, 182, 196, 155, 182, 196, 156, 183, 196, 157, 183, 196, 158, 184, 196, 159, 184, 196, 161, 185, 197, 161, 185, 197, 163, 187, 199,
   162, 185, 200, 162, 185, 200, 162, 185, 199, 161, 185, 198, 162, 186, 198, 160, 185, 198, 160, 184, 198, 159, 184, 199, 158, 184, 198, 155, 180, 196, 154, 180, 195, 150, 177, 192, 148, 176, 190, 149, 176, 190, 139, 169, 186, 135, 165, 182, 126, 158, 174, 113, 145, 161,  97, 125, 142,  86, 110, 123,  79, 101, 110,
    74,  92, 100,  70,  86,  94,  72,  88,  95,  78,  93, 100,  58,  73,  79,  48,  59,  64,  55,  58,  61,  58,  53,  50,  88,  79,  73,  65,  58,  53,  38,  37,  33,  38,  37,  32,  22,  20,  18,  27,  24,  23,  26,  23,  23,  15,  14,  15,   3,   3,   5,   7,   6,  10,  42,  43,  47,  65,  73,  77,  43,  52,  57,
    52,  62,  66,  46,  56,  61,  52,  63,  68,  45,  57,  61,  69,  77,  82,  50,  58,  65,  33,  42,  52,  60,  69,  75,  45,  57,  64,  82,  93,  97,  64,  75,  79,  80,  91,  94,  60,  71,  77,  35,  48,  55,  62,  73,  77,  55,  67,  72,  47,  60,  64,  63,  75,  79,  70,  83,  85,  59,  71,  75,  51,  65,  69,
    72,  82,  86,  40,  53,  57,  50,  62,  66,  63,  73,  76,  59,  67,  70,  29,  38,  43,  10,  19,  25,   4,  11,  17,  12,  15,  20,  10,  12,  16,  16,  16,  18,  21,  20,  22,  58,  57,  58,  23,  22,  25,  31,  30,  32,  35,  34,  36,  51,  50,  53,   2,   1,   8,   2,   1,   9,  27,  27,  32,   2,   2,   7,
     1,   1,   6,   8,   7,  12,   0,   0,   5,   6,   7,  10,  15,  15,  15,  30,  31,  30,  32,  30,  27,  49,  46,  43,  91,  87,  83,  88,  84,  80, 137, 136, 134, 158, 160, 160, 166, 174, 177, 156, 167, 173,  91, 113, 128, 129, 144, 157, 145, 156, 168,  93, 114, 133, 125, 142, 156, 101, 123, 141, 115, 138, 153,
   155, 171, 181, 115, 143, 158, 107, 138, 153, 126, 152, 165, 100, 136, 151, 123, 153, 168, 130, 160, 174, 144, 170, 184, 157, 180, 192, 141, 168, 183, 161, 183, 192, 160, 183, 192, 156, 181, 191, 164, 188, 197, 156, 182, 193, 164, 186, 198, 166, 190, 199, 170, 193, 201, 181, 200, 206, 182, 201, 207, 176, 198, 205,
   177, 199, 207, 191, 208, 215, 195, 212, 218, 181, 202, 210, 182, 203, 212, 187, 207, 215, 191, 209, 216, 188, 208, 215, 193, 211, 218, 199, 216, 222, 207, 220, 226, 197, 213, 220, 193, 211, 217, 189, 208, 214, 185, 205, 211, 185, 205, 212, 177, 199, 206, 178, 199, 206, 189, 206, 212, 203, 215, 220, 194, 208, 214,
   191, 207, 213, 180, 199, 206, 186, 203, 209, 185, 202, 209, 179, 199, 206, 182, 199, 205, 174, 195, 202, 175, 194, 201, 179, 196, 203, 174, 191, 199, 178, 193, 200, 178, 194, 198, 152, 172, 181, 134, 159, 170, 136, 159, 170, 117, 148, 161, 140, 165, 176, 159, 178, 188, 138, 164, 176, 133, 161, 171, 153, 173, 181,
   140, 164, 172, 131, 157, 168, 134, 159, 169, 138, 161, 171, 130, 155, 166, 138, 160, 170, 141, 162, 172, 145, 164, 176, 139, 163, 175, 148, 170, 180, 142, 167, 179, 148, 170, 181, 143, 168, 179, 146, 170, 181, 158, 180, 187, 160, 184, 191, 175, 195, 201, 180, 199, 206, 188, 205, 210, 197, 213, 217, 206, 220, 223,
   206, 220, 223, 210, 224, 226, 219, 231, 232, 224, 234, 234, 223, 233, 234, 228, 237, 237, 226, 235, 235, 226, 237, 235, 227, 236, 236, 228, 238, 238, 229, 238, 238, 232, 240, 240, 233, 241, 240, 233, 241, 240, 234, 241, 240, 235, 242, 241, 236, 242, 241, 237, 243, 242, 237, 243, 242, 236, 242, 241, 236, 242, 241,
    33,  23,  38,  38,  28,  44,  43,  35,  50,  45,  38,  51,  53,  50,  62,  65,  64,  76,  76,  80,  91,  92, 100, 111, 111, 123, 135, 129, 143, 155, 150, 162, 173, 162, 174, 185, 174, 186, 196, 180, 192, 202, 186, 199, 208, 190, 204, 212, 192, 206, 214, 192, 208, 215, 193, 209, 216, 193, 209, 216, 193, 209, 216,
   191, 209, 216, 191, 209, 216, 190, 208, 215, 190, 208, 215, 189, 207, 215, 188, 207, 214, 188, 207, 215, 188, 206, 215, 187, 206, 214, 187, 206, 214, 185, 204, 212, 185, 204, 212, 184, 204, 212, 182, 203, 211, 179, 201, 212, 178, 200, 211, 177, 199, 210, 176, 199, 210, 175, 199, 211, 174, 198, 210, 172, 196, 208,
   170, 194, 206, 168, 193, 205, 168, 192, 204, 164, 191, 203, 164, 191, 202, 163, 189, 201, 164, 191, 204, 163, 189, 201, 163, 189, 203, 163, 189, 203, 164, 189, 201, 162, 188, 202, 163, 188, 203, 163, 188, 202, 163, 189, 203, 162, 188, 202, 161, 187, 200, 161, 187, 200, 160, 186, 200, 160, 186, 200, 159, 185, 199,
   159, 185, 200, 158, 185, 199, 158, 184, 198, 156, 183, 197, 155, 182, 196, 156, 182, 196, 154, 181, 194, 156, 182, 196, 154, 180, 194, 154, 180, 194, 153, 180, 194, 150, 178, 192, 150, 179, 193, 152, 179, 193, 151, 178, 192, 153, 179, 193, 152, 180, 194, 155, 181, 194, 156, 181, 193, 157, 182, 194, 158, 182, 196,
   160, 183, 197, 159, 182, 197, 160, 183, 197, 158, 183, 196, 157, 183, 197, 158, 183, 197, 157, 182, 196, 154, 180, 195, 153, 179, 195, 151, 177, 193, 149, 175, 191, 147, 174, 190, 144, 172, 187, 138, 168, 183, 145, 172, 187, 144, 171, 186, 135, 161, 176, 114, 143, 157,  95, 125, 139,  79, 104, 115,  78,  98, 107,
    73,  90,  98,  70,  87,  95,  64,  80,  87,  69,  82,  89,  55,  70,  76,  34,  46,  53,  60,  61,  64,  57,  50,  48,  88,  77,  69,  66,  60,  50,  46,  45,  35,  33,  34,  24,  23,  22,  19,  22,  19,  18,  18,  14,  14,  10,   9,  10,   3,   2,   4,   4,   3,   6,  21,  22,  25,  70,  77,  80,  55,  63,  67,
    47,  57,  62,  47,  58,  63,  40,  52,  58,  42,  54,  59,  74,  82,  87,  39,  48,  55,  69,  76,  84,  41,  51,  59,  58,  69,  75,  65,  77,  81,  56,  69,  72,  81,  91,  95,  54,  65,  72,  68,  78,  84,  50,  62,  68,  50,  62,  66,  79,  90,  93,  31,  48,  50,  70,  84,  86,  83,  95,  99,  60,  75,  81,
    62,  75,  81,  55,  67,  72,  50,  63,  67,  54,  63,  68,  44,  52,  56,  25,  34,  39,  12,  20,  26,   2,   9,  15,  12,  15,  21,  12,  12,  16,  15,  16,  17,  24,  23,  25,  78,  78,  79,  30,  29,  30,  29,  27,  29,  37,  34,  35,  45,  42,  44,  34,  30,  34,   7,   6,  13,   8,   8,  15,   8,   7,  13,
    13,  12,  17,  11,  10,  14,  16,  15,  19,  15,  17,  20,   5,   6,   6,  21,  22,  20,  30,  26,  21,  47,  42,  36,  65,  60,  54,  76,  71,  65, 126, 115, 107, 177, 176, 175, 162, 169, 170, 136, 147, 154, 114, 128, 138, 115, 131, 144, 154, 165, 176, 123, 140, 154,  89, 112, 131, 131, 148, 162, 109, 130, 146,
   118, 139, 154, 166, 179, 187, 101, 129, 143,  96, 128, 142, 125, 151, 162, 120, 149, 161, 133, 158, 172, 123, 153, 168, 125, 155, 171, 139, 164, 178, 127, 157, 171, 146, 169, 181, 140, 167, 179, 153, 176, 187, 166, 186, 196, 167, 186, 197, 157, 180, 192, 182, 198, 206, 175, 196, 204, 174, 195, 203, 188, 205, 210,
   190, 206, 212, 186, 204, 212, 192, 209, 215, 196, 211, 218, 184, 204, 211, 182, 204, 211, 188, 207, 214, 195, 213, 219, 196, 212, 219, 195, 213, 219, 199, 216, 221, 206, 219, 224, 196, 212, 218, 191, 209, 215, 196, 212, 218, 190, 207, 213, 193, 209, 215, 193, 209, 214, 184, 202, 208, 165, 191, 199, 184, 202, 208,
   177, 198, 205, 176, 196, 204, 165, 189, 198, 159, 186, 194, 177, 198, 204, 175, 195, 201, 185, 202, 207, 183, 201, 207, 175, 195, 202, 160, 182, 190, 137, 168, 179, 160, 182, 189, 170, 188, 195, 145, 169, 177, 126, 152, 164, 139, 162, 173, 150, 173, 182, 158, 177, 187, 151, 172, 182, 164, 181, 189, 150, 172, 179,
   106, 140, 151,  81, 120, 135, 115, 144, 157, 116, 145, 159, 117, 146, 158, 116, 145, 158, 119, 148, 160, 130, 156, 168, 142, 166, 175, 130, 157, 173, 153, 173, 184, 161, 181, 190, 157, 178, 188, 160, 181, 189, 160, 183, 190, 168, 189, 196, 172, 194, 200, 182, 201, 207, 188, 206, 212, 194, 211, 215, 203, 218, 221,
   214, 226, 228, 216, 228, 230, 217, 229, 230, 222, 233, 232, 227, 236, 236, 226, 236, 236, 228, 237, 237, 229, 238, 237, 227, 237, 236, 227, 237, 237, 229, 239, 238, 230, 239, 238, 233, 241, 241, 234, 242, 241, 235, 242, 241, 235, 242, 241, 236, 242, 241, 237, 243, 242, 238, 244, 243, 238, 244, 243, 237, 243, 242,
    33,  24,  39,  37,  28,  44,  42,  35,  49,  47,  43,  55,  54,  52,  63,  64,  65,  75,  79,  84,  94,  96, 107, 117, 117, 131, 140, 134, 149, 157, 153, 167, 177, 166, 179, 188, 176, 188, 198, 182, 195, 204, 186, 201, 209, 189, 204, 212, 191, 207, 214, 193, 209, 216, 192, 209, 216, 191, 209, 216, 191, 209, 216,
   191, 209, 216, 190, 208, 215, 189, 208, 215, 189, 208, 215, 189, 207, 215, 189, 207, 215, 188, 206, 215, 187, 206, 214, 187, 206, 214, 186, 206, 214, 184, 204, 212, 183, 204, 212, 182, 203, 211, 180, 201, 212, 179, 201, 212, 176, 199, 210, 177, 200, 210, 174, 198, 210, 172, 196, 208, 170, 195, 207, 170, 194, 206,
   168, 192, 205, 165, 191, 203, 163, 189, 202, 161, 189, 200, 161, 189, 200, 161, 189, 199, 159, 186, 201, 160, 186, 200, 159, 187, 200, 159, 186, 200, 159, 186, 200, 160, 187, 201, 161, 187, 201, 160, 187, 201, 160, 186, 200, 160, 186, 200, 159, 187, 201, 157, 184, 198, 158, 184, 198, 157, 184, 197, 156, 182, 197,
   156, 182, 196, 154, 182, 196, 153, 180, 195, 153, 180, 195, 152, 179, 193, 151, 178, 193, 151, 177, 193, 152, 179, 194, 152, 178, 193, 149, 176, 191, 149, 177, 191, 148, 177, 191, 150, 177, 192, 150, 176, 192, 150, 177, 192, 151, 178, 192, 151, 178, 192, 152, 179, 192, 154, 180, 193, 154, 180, 193, 155, 179, 194,
   154, 179, 194, 154, 180, 194, 153, 179, 193, 153, 179, 193, 154, 180, 194, 151, 178, 193, 149, 177, 192, 150, 177, 192, 146, 174, 190, 144, 173, 189, 138, 168, 185, 137, 167, 183, 132, 164, 180, 132, 164, 179, 126, 160, 175, 133, 163, 179, 134, 160, 173, 113, 139, 150,  93, 119, 128,  76, 102, 112,  71,  91,  99,
    65,  84,  92,  64,  82,  90,  59,  75,  82,  61,  74,  81,  48,  62,  69,  34,  47,  53,  49,  55,  58,  58,  53,  48,  89,  79,  73,  73,  68,  58,  51,  50,  40,  41,  40,  31,  26,  25,  21,  25,  22,  21,  23,  21,  20,   3,   2,   2,   3,   2,   2,   2,   2,   2,   9,  10,  11,  52,  61,  64,  57,  66,  71,
    49,  61,  65,  56,  66,  70,  39,  51,  57,  44,  55,  60,  70,  79,  82,  48,  59,  60,  56,  66,  67,  77,  86,  88,  44,  58,  61,  64,  77,  80,  44,  58,  61,  65,  76,  82,  91, 101, 108,  69,  82,  89,  58,  71,  76,  47,  62,  65,  80,  92,  93, 108, 118, 119,  68,  86,  89,  79,  95,  99,  78,  94, 101,
    57,  74,  81,  72,  85,  90,  52,  66,  69,  55,  67,  70,  48,  56,  60,  31,  40,  45,  12,  20,  27,  10,  17,  22,  11,  17,  21,  17,  18,  21,  20,  20,  20,  31,  31,  31,  74,  75,  74,  29,  27,  26,  30,  27,  25,  30,  26,  23,  39,  36,  35,  46,  42,  45,   6,   5,  12,   7,   7,  12,  13,  13,  18,
    12,  12,  18,  12,  12,  17,   8,   8,  13,  11,  12,  16,  18,  19,  20,  21,  21,  19,  28,  23,  15,  54,  48,  41,  66,  61,  53,  78,  74,  67, 127, 105,  88, 185, 182, 176, 180, 181, 178, 129, 139, 148, 107, 122, 133, 128, 142, 152, 112, 131, 143, 114, 132, 145, 101, 121, 136, 115, 134, 149, 117, 137, 152,
   107, 130, 145, 125, 149, 161, 147, 165, 174,  57,  93, 106, 105, 129, 140,  97, 124, 138, 128, 150, 162, 110, 136, 150, 119, 144, 158, 114, 140, 155, 132, 155, 169, 134, 158, 171, 128, 156, 168, 137, 165, 178, 145, 170, 183, 128, 160, 175, 141, 169, 182, 151, 179, 191, 170, 192, 201, 176, 196, 204, 178, 197, 204,
   180, 199, 207, 188, 206, 213, 190, 206, 214, 194, 211, 216, 194, 211, 217, 197, 213, 219, 192, 211, 215, 190, 209, 215, 190, 210, 216, 191, 210, 216, 195, 211, 217, 196, 212, 217, 203, 217, 221, 195, 212, 217, 179, 200, 208, 183, 202, 209, 187, 205, 212, 183, 202, 208, 194, 210, 215, 187, 203, 208, 181, 200, 205,
   180, 198, 205, 156, 183, 192, 189, 205, 210, 191, 205, 211, 183, 201, 207, 188, 205, 210, 185, 202, 208, 194, 208, 213, 162, 186, 193, 178, 197, 204, 165, 186, 194, 154, 179, 186, 117, 151, 161, 139, 164, 175, 145, 168, 177, 130, 156, 169, 145, 168, 178, 146, 169, 179, 135, 162, 173, 140, 165, 174, 132, 158, 168,
   144, 166, 175, 127, 155, 166, 128, 154, 165, 141, 164, 174, 128, 155, 167, 155, 174, 182, 157, 176, 184, 141, 164, 175, 148, 170, 180, 146, 168, 179, 138, 164, 175, 132, 162, 174, 142, 170, 182, 142, 173, 183, 158, 182, 191, 172, 192, 199, 172, 194, 201, 183, 203, 209, 183, 203, 209, 191, 210, 214, 196, 214, 217,
   210, 223, 226, 221, 232, 234, 220, 232, 232, 223, 233, 233, 226, 236, 236, 227, 237, 237, 228, 237, 237, 228, 238, 238, 227, 237, 238, 229, 239, 238, 231, 239, 238, 232, 240, 239, 232, 240, 239, 235, 242, 241, 237, 243, 242, 237, 243, 242, 238, 244, 243, 237, 243, 242, 238, 244, 243, 238, 244, 243, 238, 244, 243,
    35,  29,  43,  39,  33,  46,  40,  37,  49,  47,  45,  57,  59,  59,  69,  69,  72,  82,  82,  89, 100,  97, 108, 119, 117, 133, 142, 136, 151, 160, 152, 169, 178, 166, 180, 190, 175, 190, 198, 182, 196, 204, 185, 201, 208, 189, 205, 212, 191, 207, 214, 193, 209, 216, 192, 210, 216, 191, 209, 216, 190, 208, 215,
   190, 208, 215, 190, 208, 215, 189, 208, 216, 188, 207, 215, 188, 207, 215, 188, 207, 215, 187, 206, 214, 187, 206, 214, 186, 205, 213, 183, 204, 212, 183, 204, 212, 182, 203, 211, 181, 201, 213, 178, 200, 211, 176, 199, 210, 174, 199, 209, 172, 196, 207, 171, 196, 206, 169, 195, 205, 167, 193, 205, 164, 191, 203,
   163, 190, 203, 162, 188, 202, 161, 189, 201, 160, 187, 201, 160, 188, 199, 159, 186, 201, 158, 186, 200, 160, 186, 200, 159, 186, 200, 159, 186, 200, 158, 185, 199, 158, 186, 198, 157, 184, 199, 158, 184, 198, 158, 185, 199, 156, 183, 197, 156, 183, 197, 153, 182, 196, 154, 181, 196, 154, 181, 196, 153, 179, 195,
   153, 180, 195, 152, 178, 194, 151, 178, 194, 147, 177, 192, 150, 177, 192, 149, 176, 192, 150, 176, 192, 149, 175, 191, 150, 176, 192, 149, 175, 191, 148, 176, 190, 146, 175, 189, 146, 174, 190, 146, 173, 188, 145, 173, 188, 146, 173, 189, 147, 174, 189, 147, 174, 188, 147, 174, 188, 147, 174, 188, 148, 175, 189,
   147, 174, 188, 146, 173, 187, 145, 173, 187, 143, 171, 186, 141, 170, 185, 140, 170, 185, 141, 170, 185, 140, 170, 185, 135, 167, 183, 134, 165, 182, 131, 163, 180, 124, 158, 174, 129, 162, 177, 129, 163, 177, 133, 163, 178, 123, 157, 173, 114, 145, 158,  96, 125, 134,  82, 107, 116,  71,  92, 100,  65,  82,  91,
    58,  74,  83,  60,  74,  83,  55,  70,  77,  54,  68,  76,  43,  57,  65,  25,  38,  42,  35,  43,  44,  59,  62,  61,  81,  77,  72,  92,  83,  74,  50,  49,  39,  42,  41,  31,  28,  27,  23,  27,  25,  24,  22,  20,  20,   6,   5,   5,   2,   2,   2,   2,   2,   2,   4,   4,   6,  52,  58,  61,  66,  77,  79,
    43,  55,  59,  42,  54,  59,  56,  68,  71,  64,  74,  78,  68,  78,  81,  50,  63,  63,  59,  72,  71,  84,  97,  97,  58,  73,  75,  66,  80,  82,  68,  81,  83,  62,  74,  80,  64,  77,  84,  78,  90,  97,  75,  89,  93,  65,  78,  81,  65,  78,  80,  54,  72,  74,  79,  96, 100,  80,  97, 102,  77,  94, 100,
    53,  71,  78,  73,  87,  90,  54,  69,  72,  56,  67,  70,  43,  55,  59,  26,  38,  42,  14,  26,  30,  14,  24,  29,  10,  17,  21,  22,  25,  24,  32,  34,  32,  50,  51,  48,  63,  64,  62,  27,  27,  25,  22,  21,  20,  21,  20,  17,  36,  34,  32,  29,  27,  26,   5,   5,   8,   6,   6,  12,  11,  12,  17,
    10,  11,  15,  13,  14,  18,   7,   8,  13,   2,   3,   7,  10,  10,  13,  22,  23,  20,  28,  24,  14,  45,  39,  29,  71,  64,  55,  69,  63,  55, 130, 112,  97, 186, 183, 176, 186, 187, 184, 100, 113, 122,  96, 111, 122, 112, 129, 140,  98, 119, 130, 111, 130, 141, 118, 138, 149,  99, 122, 135,  92, 116, 130,
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   168, 192, 199, 171, 192, 200, 154, 180, 190, 169, 192, 200, 150, 180, 190, 161, 188, 195, 171, 193, 201, 163, 187, 196, 163, 187, 196, 170, 191, 199, 170, 190, 198, 178, 195, 200, 178, 194, 200, 152, 174, 183, 131, 159, 168, 140, 164, 174, 127, 156, 168, 131, 159, 171, 110, 146, 158, 107, 142, 154, 128, 156, 166,
   131, 158, 168, 149, 170, 179, 138, 165, 174, 149, 171, 181, 154, 175, 185, 146, 170, 181, 156, 178, 187, 151, 174, 184, 151, 175, 184, 149, 173, 184, 160, 181, 189, 162, 183, 190, 152, 178, 187, 142, 173, 182, 148, 177, 188, 163, 187, 196, 173, 195, 202, 185, 204, 210, 189, 207, 213, 190, 209, 214, 198, 215, 218,
   203, 219, 222, 212, 226, 227, 226, 235, 236, 226, 237, 237, 226, 236, 236, 230, 238, 238, 231, 239, 239, 230, 238, 238, 229, 238, 238, 229, 238, 238, 231, 240, 239, 232, 240, 239, 233, 241, 240, 233, 241, 240, 236, 243, 242, 237, 243, 243, 239, 244, 244, 238, 244, 243, 238, 244, 243, 238, 244, 243, 238, 244, 243,
    38,  33,  45,  43,  40,  52,  45,  44,  56,  50,  50,  62,  62,  66,  77,  75,  83,  93,  87,  98, 107, 106, 119, 129, 122, 138, 147, 138, 155, 164, 154, 172, 181, 165, 182, 190, 173, 191, 198, 182, 199, 206, 185, 202, 209, 189, 205, 212, 192, 208, 215, 190, 208, 215, 191, 208, 217, 190, 208, 216, 191, 208, 216,
   190, 209, 216, 189, 207, 216, 188, 208, 215, 188, 207, 215, 188, 207, 215, 187, 206, 214, 187, 206, 214, 186, 206, 214, 183, 204, 212, 182, 203, 211, 182, 203, 211, 178, 201, 211, 178, 200, 211, 177, 199, 210, 177, 199, 210, 173, 197, 208, 172, 195, 207, 171, 195, 207, 169, 193, 205, 165, 191, 203, 164, 190, 202,
   162, 188, 201, 160, 187, 201, 161, 188, 202, 159, 186, 200, 160, 187, 200, 158, 186, 200, 160, 186, 200, 158, 185, 199, 158, 185, 199, 159, 185, 199, 156, 183, 197, 157, 184, 198, 156, 183, 197, 156, 183, 197, 154, 181, 195, 154, 181, 196, 154, 181, 196, 152, 180, 195, 149, 179, 194, 150, 179, 194, 152, 178, 194,
   151, 177, 193, 151, 177, 193, 150, 176, 192, 148, 176, 191, 147, 175, 191, 147, 176, 191, 148, 175, 191, 146, 173, 189, 148, 174, 190, 147, 174, 189, 145, 173, 188, 144, 172, 187, 144, 171, 187, 144, 170, 186, 145, 170, 186, 140, 168, 184, 142, 169, 185, 142, 168, 183, 142, 169, 183, 140, 168, 182, 139, 168, 181,
   139, 168, 182, 138, 167, 181, 137, 167, 181, 136, 165, 180, 133, 164, 179, 129, 162, 177, 128, 161, 177, 126, 160, 176, 126, 160, 176, 124, 157, 173, 121, 155, 171, 122, 157, 173, 123, 158, 174, 136, 166, 180, 146, 172, 187, 139, 167, 182, 113, 144, 156,  86, 117, 126,  79, 102, 110,  67,  86,  94,  59,  77,  86,
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     4,   4,   9,   9,  10,  14,   4,   4,   9,   3,   4,   9,  14,  13,  15,  25,  24,  20,  41,  34,  24,  64,  57,  49,  81,  74,  66,  73,  66,  56, 131, 108,  91, 187, 182, 177, 187, 187, 185,  58,  74,  85,  90, 105, 117, 130, 146, 154, 107, 125, 136, 103, 124, 134, 123, 142, 151, 119, 141, 151, 110, 134, 144,
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   180, 198, 203, 168, 191, 199, 174, 196, 203, 174, 196, 203, 180, 198, 205, 183, 203, 208, 187, 206, 212, 194, 211, 217, 190, 209, 215, 190, 209, 216, 191, 210, 215, 195, 212, 217, 198, 214, 220, 197, 213, 219, 196, 212, 217, 189, 207, 213, 187, 205, 211, 180, 199, 206, 174, 195, 203, 162, 189, 194, 169, 193, 200,
   183, 201, 207, 187, 203, 209, 187, 203, 209, 178, 198, 204, 191, 206, 211, 180, 199, 206, 173, 194, 202, 167, 190, 199, 176, 196, 203, 149, 176, 186, 169, 190, 198, 163, 185, 192, 156, 179, 187, 165, 184, 191, 151, 176, 183, 158, 181, 187, 126, 157, 169, 119, 152, 165, 162, 181, 189, 188, 200, 205, 146, 171, 179,
   138, 165, 174, 122, 154, 166, 146, 170, 180, 142, 170, 179, 149, 174, 184, 150, 173, 184, 156, 178, 187, 160, 180, 190, 160, 181, 191, 172, 190, 196, 171, 190, 196, 165, 188, 194, 166, 189, 195, 164, 188, 195, 170, 192, 200, 177, 198, 205, 182, 201, 208, 190, 208, 214, 201, 215, 219, 190, 209, 213, 196, 213, 216,
   203, 218, 222, 208, 222, 225, 215, 227, 230, 230, 237, 238, 230, 239, 238, 230, 238, 238, 231, 239, 238, 229, 239, 239, 230, 239, 239, 232, 239, 238, 232, 241, 241, 232, 240, 240, 234, 242, 241, 235, 242, 241, 235, 242, 241, 238, 243, 243, 238, 244, 243, 238, 244, 243, 239, 244, 243, 238, 244, 243, 237, 243, 242,
    42,  42,  52,  50,  49,  60,  57,  59,  70,  63,  68,  79,  72,  83,  93,  83,  96, 106,  94, 108, 118, 113, 128, 139, 130, 148, 158, 145, 163, 172, 159, 177, 185, 166, 184, 192, 172, 191, 198, 181, 199, 206, 185, 202, 209, 188, 205, 212, 190, 208, 215, 190, 208, 215, 190, 208, 215, 189, 209, 215, 189, 208, 216,
   189, 208, 216, 189, 208, 216, 188, 207, 215, 188, 207, 215, 187, 206, 214, 187, 206, 214, 185, 205, 213, 185, 205, 213, 183, 204, 212, 182, 203, 212, 179, 201, 211, 180, 201, 212, 177, 199, 210, 177, 199, 210, 174, 197, 209, 173, 196, 208, 171, 195, 207, 169, 193, 205, 167, 192, 204, 165, 190, 202, 163, 189, 201,
   162, 189, 202, 160, 187, 201, 161, 187, 201, 160, 186, 200, 158, 185, 199, 160, 186, 200, 158, 184, 198, 160, 186, 199, 159, 185, 199, 157, 183, 197, 156, 183, 197, 156, 183, 197, 155, 181, 196, 154, 181, 196, 154, 181, 196, 152, 179, 195, 151, 179, 194, 150, 178, 194, 151, 178, 194, 149, 176, 192, 148, 176, 191,
   149, 176, 192, 148, 175, 191, 148, 175, 191, 148, 175, 191, 148, 175, 191, 147, 175, 190, 146, 174, 190, 145, 173, 188, 146, 172, 188, 141, 170, 185, 141, 170, 185, 140, 169, 184, 138, 167, 182, 141, 167, 183, 138, 166, 182, 135, 164, 179, 134, 163, 178, 134, 163, 178, 132, 162, 177, 131, 161, 176, 131, 162, 176,
   129, 161, 175, 128, 159, 175, 129, 160, 175, 124, 158, 173, 123, 156, 172, 119, 154, 170, 117, 152, 168, 117, 152, 168, 112, 148, 164, 116, 151, 167, 118, 152, 168, 121, 154, 172, 123, 156, 172, 136, 165, 181, 144, 171, 187, 146, 171, 185, 124, 152, 162,  93, 122, 131,  74,  97, 105,  67,  85,  94,  59,  77,  85,
    59,  72,  82,  54,  68,  76,  51,  66,  73,  44,  59,  66,  37,  51,  57,  27,  39,  42,  12,  22,  23,  28,  37,  35,  75,  75,  70, 106,  98,  90,  88,  83,  73,  44,  41,  29,  30,  29,  25,  20,  19,  15,   9,   7,   7,   3,   2,   3,   2,   1,   3,   3,   3,   4,   7,   9,   9,  43,  48,  50,  56,  66,  69,
    38,  51,  54,  69,  79,  83,  49,  59,  65,  96, 105, 108,  43,  57,  60,  60,  72,  72,  61,  75,  76,  93, 104, 107,  84,  96,  99,  89, 101, 104,  74,  86,  89,  83,  95,  99,  62,  78,  82, 103, 114, 117,  56,  73,  77,  76,  91,  93,  88, 102, 105, 101, 115, 119, 124, 136, 140,  92, 108, 114,  77,  94, 100,
   103, 117, 121,  98, 112, 116,  65,  78,  82,  67,  78,  81,  52,  63,  69,  55,  65,  71,  27,  39,  46,  14,  26,  34,  16,  23,  29,  35,  39,  37,  44,  46,  40,  58,  58,  51,  44,  45,  36,  46,  48,  42,  19,  21,  17,  20,  20,  20,  33,  32,  32,  13,  11,  11,  10,   9,  12,   3,   3,   8,   4,   4,   9,
     5,   4,   8,  11,  10,  14,   4,   4,   9,   6,   6,  10,  20,  19,  22,  24,  20,  18,  40,  32,  22,  66,  59,  51,  80,  72,  63,  62,  53,  41, 136, 113,  96, 184, 182, 177, 135, 138, 138,  65,  80,  90,  85, 103, 113, 119, 137, 147,  91, 113, 124, 109, 130, 140, 117, 137, 147, 117, 139, 149, 112, 136, 146,
    76, 107, 119,  84, 109, 122,  74, 102, 113,  83, 110, 121,  74, 102, 114,  70, 100, 112,  85, 113, 122,  87, 113, 123,  74, 101, 112,  82, 109, 120,  57,  92, 107,  93, 122, 137,  84, 116, 130,  73, 107, 125, 105, 137, 151, 134, 159, 173, 137, 163, 176, 159, 179, 189, 141, 168, 180, 166, 185, 193, 172, 192, 197,
   179, 197, 203, 178, 197, 203, 172, 194, 200, 175, 197, 203, 171, 195, 202, 176, 197, 204, 184, 204, 210, 186, 206, 212, 185, 206, 212, 188, 207, 212, 188, 207, 213, 188, 207, 213, 188, 208, 214, 192, 210, 216, 194, 210, 215, 187, 204, 210, 193, 207, 214, 183, 202, 209, 185, 202, 209, 181, 201, 206, 173, 195, 200,
   175, 196, 203, 172, 193, 201, 176, 196, 203, 173, 194, 202, 154, 183, 192, 172, 194, 200, 170, 192, 199, 177, 197, 203, 177, 196, 204, 180, 199, 205, 169, 191, 198, 173, 192, 199, 158, 180, 189, 149, 176, 183, 150, 176, 184, 147, 175, 182, 186, 199, 205, 164, 185, 190, 131, 162, 173, 132, 163, 172, 152, 176, 184,
   152, 177, 185, 147, 174, 182, 168, 187, 194, 164, 184, 192, 161, 182, 191, 151, 175, 187, 167, 185, 195, 162, 183, 191, 158, 181, 190, 163, 185, 194, 169, 191, 196, 181, 199, 204, 179, 198, 203, 182, 200, 207, 182, 200, 207, 180, 200, 207, 190, 206, 214, 190, 208, 214, 193, 211, 217, 202, 217, 221, 188, 209, 214,
   193, 213, 217, 207, 221, 225, 212, 225, 229, 220, 231, 234, 232, 239, 239, 232, 240, 240, 231, 239, 238, 232, 240, 240, 233, 241, 241, 233, 241, 241, 233, 241, 240, 234, 241, 240, 235, 242, 241, 236, 243, 242, 236, 243, 242, 237, 243, 242, 238, 244, 243, 238, 244, 243, 238, 244, 243, 237, 243, 242, 237, 243, 242,
    51,  53,  63,  61,  65,  75,  69,  77,  86,  80,  88,  97,  88, 101, 111, 101, 119, 127, 114, 133, 142, 128, 146, 156, 139, 158, 167, 154, 171, 180, 164, 183, 191, 171, 189, 196, 177, 195, 202, 182, 200, 207, 186, 203, 210, 188, 205, 212, 189, 207, 214, 189, 208, 215, 191, 210, 217, 190, 209, 216, 189, 208, 216,
   188, 207, 215, 189, 208, 216, 188, 207, 215, 187, 206, 215, 186, 206, 214, 186, 206, 214, 185, 205, 213, 183, 203, 213, 182, 203, 212, 182, 202, 212, 178, 201, 212, 178, 200, 211, 176, 198, 210, 176, 198, 209, 175, 197, 208, 173, 195, 207, 172, 194, 206, 169, 193, 205, 167, 191, 203, 164, 189, 202, 163, 189, 202,
   161, 187, 201, 160, 186, 200, 161, 186, 200, 160, 186, 200, 159, 185, 199, 158, 184, 198, 157, 184, 198, 157, 184, 198, 157, 182, 197, 156, 182, 197, 156, 182, 196, 153, 181, 195, 153, 180, 195, 154, 180, 194, 153, 180, 195, 152, 178, 194, 151, 177, 193, 151, 177, 193, 150, 176, 192, 149, 176, 192, 151, 176, 193,
   149, 175, 191, 149, 175, 191, 147, 174, 190, 149, 175, 191, 147, 174, 190, 147, 174, 190, 146, 174, 189, 146, 172, 188, 143, 170, 185, 140, 168, 184, 138, 167, 183, 136, 165, 181, 134, 163, 179, 132, 163, 178, 131, 161, 178, 130, 159, 176, 127, 157, 175, 125, 157, 173, 125, 157, 173, 124, 157, 172, 122, 155, 171,
   122, 155, 170, 119, 152, 168, 119, 152, 168, 119, 152, 168, 116, 150, 166, 114, 148, 164, 114, 148, 164, 111, 146, 162, 115, 149, 165, 115, 149, 166, 116, 149, 168, 121, 153, 172, 125, 158, 176, 126, 160, 177, 135, 166, 182, 134, 164, 180, 120, 150, 160,  96, 124, 133,  73,  96, 103,  72,  89,  98,  60,  77,  86,
    59,  74,  84,  58,  70,  78,  54,  65,  72,  49,  61,  68,  42,  53,  59,  28,  38,  43,  10,  21,  22,  18,  27,  24,  57,  58,  51,  91,  83,  69,  90,  87,  74,  53,  52,  38,  27,  27,  22,  18,  18,  16,   5,   4,   5,   5,   4,   6,   2,   1,   3,   5,   4,   4,   8,  10,  10,  54,  59,  61,  72,  80,  85,
    49,  62,  67,  67,  78,  83,  80,  91,  95, 102, 111, 114,  65,  76,  79,  51,  64,  66,  89, 100, 101,  71,  83,  85,  75,  88,  91,  77,  91,  95,  98, 109, 113,  66,  81,  84,  79,  92,  96,  78,  93,  96,  80,  93,  97,  79,  95,  98,  87, 102, 105, 117, 129, 133,  82,  98, 104, 130, 141, 146, 133, 143, 147,
   120, 133, 137,  83,  98, 103,  89, 102, 107,  92, 102, 106,  78,  87,  93,  62,  71,  80,  25,  37,  49,  11,  23,  34,  21,  28,  35,  36,  40,  45,  47,  47,  41,  49,  50,  41,  48,  49,  40,  35,  37,  30,  28,  29,  25,  23,  23,  22,  39,  37,  38,  15,  13,  14,   5,   4,   7,   6,   5,  10,   6,   4,  10,
     6,   5,   9,   9,   9,  12,   1,   2,   6,  10,   9,  13,  21,  17,  19,  26,  20,  15,  34,  27,  16,  72,  65,  57,  77,  69,  60,  58,  49,  38, 147, 129, 116, 175, 173, 171,  67,  76,  79,  98, 111, 120,  92, 110, 120, 111, 130, 140, 121, 139, 149,  97, 121, 131, 122, 142, 151, 111, 134, 145, 126, 147, 157,
   138, 157, 167, 132, 152, 160, 123, 144, 153, 106, 129, 139, 119, 140, 151, 125, 145, 154,  91, 118, 129,  94, 120, 130,  71, 101, 111,  86, 114, 123, 111, 133, 145,  85, 116, 130,  85, 114, 130, 103, 129, 143,  91, 121, 136,  84, 113, 130,  89, 124, 142,  99, 133, 150, 147, 172, 183, 145, 172, 182, 169, 188, 194,
   181, 197, 202, 170, 189, 197, 171, 192, 198, 172, 193, 200, 174, 195, 202, 168, 192, 200, 167, 192, 200, 179, 201, 208, 189, 207, 213, 186, 205, 212, 186, 206, 211, 189, 207, 212, 191, 209, 215, 190, 208, 212, 185, 204, 210, 184, 203, 208, 174, 196, 203, 173, 193, 202, 173, 195, 204, 181, 201, 208, 182, 201, 207,
   176, 196, 202, 176, 195, 202, 158, 184, 193, 157, 184, 193, 162, 188, 196, 172, 193, 201, 192, 207, 212, 184, 201, 208, 174, 194, 202, 169, 192, 200, 175, 194, 200, 180, 198, 203, 175, 192, 199, 173, 191, 197, 160, 183, 189, 166, 186, 193, 159, 181, 189, 167, 186, 192, 174, 192, 199, 180, 196, 203, 181, 197, 203,
   172, 192, 198, 185, 199, 205, 160, 183, 191, 161, 183, 192, 164, 184, 195, 171, 189, 198, 173, 193, 201, 174, 194, 202, 179, 197, 206, 179, 198, 205, 185, 202, 208, 187, 203, 208, 179, 199, 205, 173, 195, 202, 176, 197, 204, 187, 205, 211, 193, 209, 215, 194, 210, 217, 197, 213, 219, 203, 218, 222, 200, 217, 220,
   190, 211, 216, 196, 216, 220, 211, 225, 228, 218, 230, 233, 224, 234, 236, 232, 240, 240, 234, 241, 241, 231, 240, 239, 232, 240, 239, 232, 240, 239, 234, 242, 241, 233, 241, 240, 235, 242, 241, 236, 243, 242, 238, 244, 243, 238, 244, 243, 238, 244, 243, 239, 245, 244, 238, 244, 243, 238, 244, 243, 237, 243, 242,
    65,  70,  79,  77,  85,  95,  85,  95, 103,  93, 106, 116, 108, 126, 134, 120, 138, 147, 131, 149, 157, 144, 163, 172, 155, 173, 182, 165, 181, 190, 170, 189, 197, 177, 195, 202, 179, 197, 204, 185, 203, 210, 186, 204, 211, 189, 207, 214, 188, 207, 214, 190, 209, 216, 189, 208, 215, 189, 208, 216, 189, 208, 216,
   189, 208, 216, 187, 207, 215, 187, 206, 214, 186, 206, 214, 184, 204, 216, 184, 205, 212, 184, 203, 214, 183, 203, 214, 182, 202, 213, 178, 200, 211, 178, 200, 211, 177, 199, 210, 176, 198, 210, 174, 196, 208, 175, 197, 209, 174, 196, 207, 169, 193, 205, 169, 193, 205, 167, 191, 203, 165, 190, 203, 162, 188, 201,
   162, 187, 201, 159, 185, 199, 159, 185, 199, 158, 184, 198, 158, 184, 198, 157, 183, 197, 158, 184, 198, 157, 183, 197, 156, 182, 196, 155, 181, 195, 155, 181, 195, 155, 181, 195, 152, 179, 194, 152, 178, 193, 153, 179, 194, 152, 178, 193, 152, 178, 194, 152, 178, 194, 151, 177, 193, 151, 177, 193, 151, 177, 193,
   150, 176, 192, 149, 175, 191, 149, 175, 191, 148, 174, 191, 147, 172, 190, 147, 173, 189, 144, 171, 187, 143, 169, 185, 140, 167, 183, 137, 165, 182, 132, 163, 179, 131, 161, 178, 126, 159, 175, 126, 158, 174, 124, 156, 172, 122, 155, 172, 121, 153, 170, 120, 152, 168, 117, 151, 167, 117, 151, 167, 115, 149, 165,
   118, 151, 168, 115, 149, 166, 116, 149, 165, 113, 147, 163, 111, 145, 162, 111, 144, 163, 111, 144, 163, 112, 145, 164, 112, 144, 163, 112, 145, 164, 112, 146, 166, 115, 149, 169, 122, 156, 175, 135, 165, 182, 144, 172, 187, 134, 165, 179, 113, 145, 156,  91, 120, 129,  77,  98, 106,  66,  84,  95,  63,  78,  88,
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    70,  83,  88, 106, 117, 121,  77,  89,  93,  75,  86,  90,  84,  95,  98,  92, 102, 102,  62,  75,  77, 105, 116, 116,  63,  79,  81, 103, 115, 118,  80,  94,  97,  69,  85,  91,  93, 107, 111,  78,  92,  96,  79,  94,  97,  79,  94,  97, 105, 119, 123, 143, 152, 156, 142, 152, 156, 121, 137, 144, 138, 149, 153,
   115, 128, 133, 107, 121, 127, 105, 117, 122,  98, 109, 115,  89,  99, 107,  46,  58,  68,  38,  49,  62,  14,  30,  39,  22,  31,  40,  31,  38,  42,  59,  58,  53,  55,  55,  45,  45,  45,  35,  48,  47,  39,  40,  42,  35,  26,  26,  25,  36,  36,  37,  25,  24,  26,   8,   7,  11,   8,   6,  13,   9,   6,  14,
     5,   5,  14,   9,   8,  16,   7,   6,  11,  14,  13,  18,  18,  12,  14,  33,  26,  20,  48,  41,  31,  61,  53,  45,  80,  72,  64,  66,  54,  41, 153, 138, 131,  70,  73,  70,  90, 105, 111,  78,  96, 105,  74,  93, 104, 123, 140, 150, 121, 141, 150, 128, 147, 156, 129, 147, 158, 110, 134, 145,  85, 115, 129,
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   166, 186, 194, 175, 192, 199, 164, 186, 196, 159, 183, 193, 169, 190, 198, 173, 193, 202, 178, 198, 206, 177, 199, 206, 186, 206, 212, 191, 207, 212, 191, 208, 213, 192, 208, 212, 180, 201, 206, 179, 201, 207, 181, 202, 208, 187, 204, 211, 179, 198, 206, 169, 192, 201, 167, 189, 199, 174, 195, 203, 175, 196, 202,
   176, 196, 202, 175, 194, 202, 173, 194, 201, 168, 191, 199, 169, 193, 200, 173, 194, 201, 153, 180, 189, 176, 196, 203, 192, 207, 213, 178, 197, 203, 183, 199, 206, 174, 192, 198, 162, 184, 191, 168, 186, 192, 177, 193, 198, 158, 180, 188, 151, 174, 184, 154, 176, 184, 179, 195, 203, 172, 190, 198, 159, 183, 192,
   177, 196, 202, 173, 193, 200, 170, 191, 199, 169, 189, 198, 172, 190, 199, 165, 186, 196, 164, 187, 196, 162, 186, 195, 167, 190, 198, 179, 198, 206, 187, 204, 210, 187, 204, 211, 191, 206, 212, 186, 203, 211, 185, 204, 210, 185, 205, 211, 187, 206, 212, 192, 209, 216, 194, 212, 218, 200, 216, 220, 205, 220, 224,
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   188, 207, 215, 186, 206, 214, 185, 206, 214, 185, 206, 214, 184, 204, 215, 183, 203, 214, 182, 202, 213, 182, 202, 213, 181, 201, 212, 180, 200, 211, 180, 200, 211, 178, 198, 210, 177, 198, 209, 175, 197, 208, 174, 196, 207, 169, 194, 205, 169, 193, 205, 167, 191, 203, 165, 190, 202, 164, 188, 202, 161, 187, 200,
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   110, 144, 162, 110, 144, 162, 108, 141, 160, 109, 141, 160, 107, 139, 158, 106, 139, 158, 105, 139, 158, 107, 140, 159, 106, 141, 159, 108, 142, 162, 111, 144, 165, 119, 152, 171, 126, 158, 177, 138, 170, 185, 152, 178, 192, 143, 171, 185, 118, 147, 159,  89, 119, 128,  71,  93, 101,  58,  77,  85,  58,  74,  84,
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   130, 142, 148, 106, 120, 127, 105, 120, 128, 110, 125, 132, 109, 122, 132,  63,  78,  91,  37,  49,  63,  15,  30,  43,  13,  25,  34,  20,  29,  35,  50,  49,  46,  51,  48,  43,  51,  48,  43,  47,  45,  39,  43,  44,  38,  23,  23,  22,  22,  21,  22,   3,   2,   5,   6,   5,  10,   4,   2,   8,   7,   6,  14,
     8,   7,  15,  11,   9,  16,  13,  12,  17,  15,  14,  18,  23,  17,  17,  40,  33,  25,  59,  50,  42,  76,  68,  61,  72,  62,  58,  76,  64,  61,  66,  63,  65,  85,  99, 106,  96, 112, 119, 118, 133, 139, 135, 150, 157, 104, 128, 138, 106, 130, 141, 133, 152, 162, 133, 151, 161, 133, 153, 164, 135, 154, 165,
   135, 155, 165, 133, 153, 162, 121, 144, 153, 110, 134, 144, 113, 137, 148, 107, 130, 142, 116, 136, 148, 101, 125, 137, 119, 140, 151, 104, 129, 140,  84, 111, 125,  90, 117, 132,  86, 116, 131, 111, 135, 150, 143, 162, 174, 108, 136, 149,  96, 128, 143, 120, 149, 163, 128, 157, 170, 121, 155, 167, 131, 163, 173,
   154, 178, 187, 172, 190, 199, 172, 191, 200, 186, 202, 208, 183, 200, 207, 176, 196, 204, 169, 193, 201, 181, 201, 208, 183, 203, 209, 195, 210, 214, 194, 208, 214, 195, 208, 213, 189, 207, 213, 190, 208, 213, 191, 208, 213, 196, 211, 215, 188, 204, 210, 184, 201, 208, 167, 190, 199, 163, 188, 197, 169, 191, 199,
   171, 193, 200, 178, 198, 205, 181, 198, 206, 182, 200, 207, 176, 196, 204, 174, 195, 202, 189, 204, 209, 173, 194, 201, 171, 193, 200, 172, 192, 200, 157, 180, 189, 163, 184, 192, 178, 195, 200, 160, 183, 190, 152, 176, 184, 152, 175, 183, 160, 181, 189, 161, 181, 190, 162, 184, 193, 171, 190, 198, 188, 203, 209,
   181, 199, 205, 177, 196, 203, 183, 200, 207, 173, 193, 201, 179, 197, 205, 184, 201, 207, 174, 193, 201, 171, 192, 199, 171, 192, 201, 179, 198, 207, 186, 203, 210, 189, 205, 211, 190, 207, 214, 188, 205, 212, 188, 206, 213, 196, 212, 218, 191, 209, 214, 197, 212, 218, 197, 214, 218, 202, 217, 221, 201, 216, 222,
   204, 220, 223, 199, 217, 221, 206, 222, 225, 215, 229, 231, 223, 234, 235, 227, 237, 237, 230, 238, 238, 235, 241, 241, 237, 242, 242, 236, 241, 241, 233, 241, 241, 235, 243, 242, 238, 244, 243, 238, 244, 243, 237, 243, 242, 238, 244, 243, 239, 245, 243, 239, 245, 244, 239, 246, 244, 240, 245, 244, 239, 244, 243,
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   188, 207, 215, 184, 205, 213, 185, 206, 214, 184, 205, 213, 183, 204, 213, 182, 203, 214, 183, 202, 213, 182, 202, 213, 180, 200, 211, 179, 199, 210, 178, 199, 210, 179, 198, 210, 177, 197, 209, 173, 195, 207, 173, 195, 206, 170, 194, 206, 168, 192, 204, 166, 191, 203, 164, 189, 201, 159, 185, 199, 160, 186, 200,
   159, 185, 199, 157, 183, 197, 155, 182, 196, 154, 181, 195, 154, 179, 195, 154, 180, 195, 153, 179, 194, 153, 178, 194, 153, 179, 194, 153, 179, 194, 152, 178, 193, 151, 177, 193, 151, 177, 193, 150, 176, 192, 150, 175, 191, 150, 176, 192, 152, 177, 193, 152, 177, 193, 153, 178, 194, 151, 176, 192, 151, 176, 192,
   151, 175, 192, 149, 174, 191, 145, 171, 188, 143, 169, 186, 141, 168, 185, 141, 167, 183, 137, 164, 181, 136, 163, 180, 133, 161, 178, 129, 159, 176, 125, 157, 173, 119, 153, 169, 116, 149, 168, 116, 149, 166, 114, 147, 165, 115, 146, 165, 113, 144, 164, 113, 144, 163, 111, 143, 160, 108, 140, 159, 107, 140, 156,
   100, 134, 152, 103, 136, 154, 102, 136, 154, 101, 134, 153, 102, 135, 154, 102, 134, 153, 102, 135, 154, 103, 136, 155, 100, 135, 155, 106, 140, 159, 112, 145, 165, 123, 155, 173, 133, 164, 181, 148, 175, 191, 157, 180, 195, 144, 171, 186, 114, 143, 156,  89, 118, 128,  76,  97, 104,  64,  80,  89,  65,  78,  86,
    64,  77,  85,  61,  74,  81,  58,  71,  77,  51,  65,  71,  44,  58,  64,  39,  52,  56,  28,  43,  45,  17,  32,  33,   8,  21,  19,  19,  26,  22,  46,  47,  40,  42,  43,  35,  45,  45,  40,  34,  34,  30,  27,  26,  24,  24,  23,  20,  19,  17,  15,  24,  21,  21,  51,  57,  60,  66,  81,  85,  77,  91,  96,
   102, 114, 118,  83,  97, 100,  86,  99, 102,  97, 108, 111, 100, 111, 114, 102, 115, 118,  96, 110, 112, 122, 135, 137, 109, 123, 125, 112, 126, 127,  85, 101, 103,  87, 102, 105,  84, 101, 104, 103, 117, 121,  79,  96,  99, 110, 124, 126,  96, 111, 114, 124, 136, 139, 109, 123, 126, 124, 136, 140,  90, 106, 110,
   125, 138, 144, 102, 117, 125, 129, 144, 151, 130, 144, 153,  98, 117, 130,  63,  84,  98,  39,  53,  69,  23,  37,  52,  20,  32,  46,  11,  25,  30,  28,  32,  32,  65,  62,  58,  62,  60,  55,  55,  53,  48,  50,  49,  45,  42,  42,  40,   9,  10,  11,   7,   9,  12,   5,   4,   8,   7,   6,  13,   6,   6,  15,
     8,   7,  15,   5,   5,  13,  18,  16,  20,  22,  21,  25,  38,  29,  28,  52,  43,  35,  65,  58,  48,  64,  56,  48,  62,  52,  47,  52,  49,  50,  50,  63,  68,  78,  94, 100,  94, 111, 118,  98, 118, 125,  69,  96, 105, 107, 129, 139,  96, 121, 132, 121, 141, 151, 112, 133, 145, 105, 130, 140, 132, 151, 161,
   121, 143, 153,  97, 122, 133, 101, 125, 136,  97, 120, 132, 104, 125, 136, 105, 126, 138,  85, 109, 121, 105, 128, 139, 118, 139, 150, 116, 138, 149, 130, 149, 159, 106, 131, 145, 100, 126, 140, 120, 142, 154, 116, 140, 154,  87, 123, 139, 114, 144, 158, 114, 145, 160,  94, 133, 148, 110, 147, 159, 139, 166, 176,
   163, 183, 192, 163, 183, 193, 161, 184, 193, 152, 179, 190, 178, 197, 204, 176, 196, 204, 178, 199, 206, 171, 194, 201, 184, 203, 208, 189, 205, 211, 195, 209, 213, 187, 204, 209, 186, 204, 209, 191, 208, 213, 184, 204, 209, 184, 202, 209, 187, 203, 209, 169, 192, 200, 164, 188, 197, 169, 191, 199, 174, 195, 202,
   180, 199, 205, 184, 201, 209, 198, 212, 217, 195, 210, 215, 186, 204, 210, 181, 199, 206, 178, 196, 203, 175, 196, 202, 181, 201, 206, 198, 211, 216, 180, 197, 204, 166, 188, 194, 169, 190, 196, 154, 179, 187, 153, 177, 185, 156, 178, 186, 151, 175, 183, 163, 183, 191, 153, 178, 188, 165, 187, 195, 152, 179, 189,
   174, 194, 201, 172, 192, 200, 179, 197, 205, 181, 200, 207, 173, 195, 201, 177, 195, 202, 180, 199, 205, 187, 203, 209, 181, 199, 206, 174, 194, 203, 179, 198, 207, 193, 208, 214, 190, 207, 213, 194, 209, 216, 197, 212, 217, 194, 209, 217, 197, 213, 218, 197, 214, 218, 200, 216, 219, 204, 218, 222, 210, 223, 226,
   210, 223, 226, 209, 224, 226, 207, 223, 225, 212, 226, 228, 219, 232, 232, 227, 237, 237, 230, 239, 239, 232, 241, 241, 235, 240, 241, 236, 241, 241, 237, 242, 241, 234, 242, 241, 236, 243, 242, 238, 244, 243, 239, 245, 244, 239, 245, 244, 240, 245, 245, 240, 246, 245, 241, 246, 245, 240, 245, 244, 240, 245, 244,
   118, 137, 146, 131, 149, 158, 141, 160, 168, 152, 171, 180, 161, 180, 188, 167, 185, 194, 172, 191, 199, 178, 194, 204, 183, 199, 208, 185, 201, 210, 186, 203, 212, 188, 205, 214, 188, 206, 214, 189, 207, 216, 189, 208, 216, 190, 209, 217, 189, 208, 216, 189, 208, 216, 189, 208, 216, 188, 207, 215, 186, 207, 215,
   185, 206, 214, 185, 206, 214, 183, 204, 212, 184, 205, 213, 183, 203, 213, 182, 202, 213, 182, 202, 213, 180, 200, 211, 180, 200, 211, 180, 200, 211, 178, 198, 210, 178, 198, 209, 176, 197, 208, 172, 195, 206, 172, 195, 205, 170, 193, 205, 166, 190, 202, 162, 188, 201, 161, 187, 201, 158, 185, 199, 159, 185, 199,
   157, 183, 197, 156, 182, 196, 153, 180, 194, 154, 181, 194, 152, 179, 194, 152, 178, 194, 152, 177, 193, 152, 178, 194, 152, 178, 194, 151, 177, 193, 151, 177, 193, 150, 176, 192, 149, 175, 191, 148, 174, 191, 148, 174, 190, 149, 175, 191, 149, 175, 191, 149, 175, 191, 149, 175, 191, 149, 174, 191, 148, 173, 190,
   147, 173, 189, 144, 170, 187, 140, 167, 184, 138, 166, 183, 136, 164, 181, 134, 162, 179, 133, 161, 178, 132, 160, 177, 127, 157, 174, 123, 154, 173, 117, 150, 169, 113, 147, 166, 111, 145, 164, 112, 144, 163, 109, 141, 160, 109, 141, 160, 108, 140, 159, 105, 137, 156, 102, 134, 153, 100, 132, 151,  98, 132, 148,
    98, 132, 148,  97, 131, 147,  96, 129, 147,  97, 129, 148,  95, 128, 147,  95, 128, 147,  95, 130, 148,  97, 130, 150,  94, 131, 149, 103, 138, 156, 112, 147, 165, 127, 160, 177, 141, 170, 185, 151, 177, 192, 154, 179, 193, 140, 168, 183, 116, 144, 156,  91, 119, 129,  82, 103, 112,  68,  83,  92,  60,  76,  83,
    58,  72,  80,  64,  77,  83,  54,  68,  74,  55,  69,  75,  49,  62,  67,  40,  54,  58,  36,  50,  52,  27,  42,  44,  10,  21,  20,   8,  17,  16,  15,  22,  18,  33,  34,  28,  33,  34,  29,  31,  30,  26,  30,  29,  25,  24,  24,  18,  26,  25,  21,  34,  32,  30,  52,  65,  69,  77,  91,  94, 103, 116, 120,
    93, 107, 110,  76,  92,  95,  77,  91,  95,  79,  92,  96, 117, 129, 132,  76,  93,  97, 112, 127, 131, 109, 124, 127, 126, 140, 143,  99, 114, 116, 143, 153, 154, 107, 121, 124, 145, 155, 158,  90, 107, 112, 144, 156, 157, 137, 150, 152, 133, 144, 147, 146, 156, 159, 140, 150, 151, 114, 127, 131, 131, 144, 147,
   111, 124, 131, 139, 152, 158, 126, 140, 149, 170, 180, 185, 100, 124, 137,  67,  90, 104,  70,  88, 102,  56,  71,  86,  32,  49,  64,  12,  29,  38,  18,  25,  27,  52,  53,  51,  59,  58,  54,  67,  66,  62,  48,  49,  44,  45,  45,  42,  41,  43,  42,  15,  17,  18,   4,   4,  10,   6,   6,  12,   6,   6,  11,
     3,   4,   8,  16,  15,  18,  26,  25,  28,  42,  33,  35,  52,  43,  31,  63,  55,  44,  65,  58,  49,  67,  63,  56,  36,  36,  35,  48,  55,  62,  78,  98, 105,  77,  98, 104, 105, 123, 130,  95, 115, 122,  89, 113, 122,  91, 115, 127, 119, 138, 147,  94, 118, 129,  67,  95, 108,  78, 105, 115,  63,  93, 105,
    84, 107, 118,  76,  99, 110,  74,  97, 108,  89, 110, 121,  99, 121, 129,  99, 120, 127, 104, 125, 134,  77, 103, 115,  98, 122, 133, 103, 126, 136,  83, 110, 123, 110, 133, 146,  95, 122, 136,  94, 122, 136,  99, 126, 141, 118, 146, 159, 120, 149, 161, 137, 161, 172, 137, 162, 173, 155, 176, 185, 136, 164, 174,
   140, 168, 178, 154, 177, 188, 168, 189, 198, 174, 193, 201, 164, 188, 198, 168, 192, 200, 185, 203, 209, 176, 198, 204, 184, 203, 209, 174, 195, 202, 186, 203, 208, 176, 196, 202, 162, 187, 195, 163, 190, 198, 185, 205, 211, 187, 203, 210, 182, 200, 207, 166, 189, 198, 173, 192, 200, 182, 200, 207, 168, 192, 198,
   171, 193, 200, 164, 188, 195, 156, 183, 192, 173, 194, 201, 165, 188, 195, 159, 185, 193, 172, 192, 199, 183, 201, 207, 185, 202, 208, 184, 202, 207, 187, 204, 209, 188, 203, 208, 174, 193, 199, 167, 189, 195, 165, 185, 192, 166, 185, 193, 170, 189, 196, 159, 182, 190, 155, 180, 189, 160, 184, 192, 168, 190, 198,
   172, 193, 200, 173, 193, 201, 178, 197, 204, 190, 206, 213, 198, 212, 215, 183, 200, 206, 182, 200, 207, 184, 201, 207, 190, 206, 213, 196, 210, 216, 194, 210, 216, 190, 207, 214, 187, 204, 211, 187, 205, 212, 191, 208, 213, 195, 211, 216, 200, 214, 219, 203, 217, 221, 202, 217, 220, 206, 219, 223, 207, 222, 224,
   209, 223, 226, 213, 226, 228, 217, 230, 229, 212, 227, 229, 218, 232, 232, 224, 235, 235, 229, 238, 238, 233, 241, 241, 236, 241, 242, 236, 241, 241, 236, 242, 242, 234, 242, 241, 236, 243, 242, 237, 244, 243, 238, 244, 243, 239, 245, 244, 239, 245, 244, 239, 245, 244, 239, 246, 244, 239, 245, 244, 239, 245, 244,
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   142, 165, 175, 134, 159, 171, 116, 149, 164, 145, 170, 181, 156, 179, 189, 160, 183, 193, 168, 188, 196, 168, 189, 197, 177, 197, 204, 179, 199, 205, 182, 200, 206, 185, 202, 207, 174, 196, 202, 177, 197, 204, 182, 201, 207, 181, 201, 206, 173, 194, 201, 173, 194, 201, 173, 194, 201, 179, 198, 204, 187, 203, 209,
   174, 194, 201, 179, 199, 205, 174, 194, 201, 173, 194, 200, 156, 183, 191, 172, 194, 201, 193, 208, 212, 186, 203, 208, 179, 198, 203, 172, 193, 199, 172, 194, 199, 174, 194, 200, 194, 208, 212, 187, 202, 208, 197, 209, 214, 192, 206, 210, 163, 188, 196, 163, 188, 196, 172, 193, 201, 165, 189, 197, 173, 193, 200,
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   215, 227, 229, 217, 229, 231, 221, 232, 234, 220, 233, 235, 229, 237, 238, 232, 240, 240, 233, 241, 240, 233, 241, 241, 235, 242, 242, 234, 242, 241, 234, 242, 241, 235, 243, 242, 236, 243, 242, 237, 243, 242, 238, 244, 243, 238, 244, 243, 238, 244, 243, 239, 245, 244, 239, 245, 244, 239, 245, 244, 238, 244, 243,
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    73, 105, 118,  72, 104, 117,  68, 102, 115,  69, 103, 115,  67, 101, 114,  67, 102, 116,  70, 106, 120,  81, 116, 132,  86, 122, 138,  99, 136, 151, 114, 150, 165, 133, 166, 180, 144, 174, 187, 151, 179, 193, 148, 176, 190, 137, 167, 182, 121, 152, 165,  91, 121, 133,  86, 108, 119,  75,  94, 104,  67,  84,  95,
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    92, 107, 113,  89, 109, 126, 101, 126, 143, 155, 170, 180, 196, 203, 209, 151, 166, 175, 159, 171, 179, 138, 150, 161, 138, 148, 159,  94, 108, 121,  51,  65,  81,  18,  33,  49,   5,  12,  23,  30,  35,  44,  58,  62,  69,  44,  43,  43,  54,  47,  46,  52,  44,  41,  48,  42,  39,  43,  37,  32,  59,  51,  47,
    68,  58,  49,  69,  63,  57,  70,  61,  54,  57,  51,  43,  32,  40,  38,  68,  82,  88,  97, 114, 121,  83, 101, 109, 109, 123, 132,  77,  98, 107, 100, 116, 125,  80, 100, 109,  91, 110, 121,  82, 103, 115,  70,  93, 106,  61,  84,  95,  55,  79,  89,  66,  87,  98,  71,  91, 100,  69,  89,  97,  71,  90,  98,
    48,  69,  79,  73,  91, 101,  78,  96, 105,  82,  99, 110,  74,  93, 105,  53,  75,  87,  72,  96, 107,  42,  71,  82,  66,  93, 102,  74, 103, 113, 110, 132, 142, 119, 138, 149, 119, 139, 152, 121, 142, 154, 125, 147, 157,  96, 124, 135,  72, 104, 116,  99, 126, 138, 104, 134, 145, 121, 146, 156, 131, 156, 167,
   120, 149, 162, 146, 169, 179, 107, 142, 157, 145, 169, 179, 143, 170, 181, 159, 181, 190, 161, 183, 191, 154, 179, 187, 162, 186, 195, 183, 201, 207, 185, 203, 208, 188, 205, 210, 189, 205, 211, 196, 210, 215, 176, 196, 204, 187, 204, 210, 186, 203, 209, 180, 199, 205, 183, 200, 207, 181, 198, 206, 190, 205, 211,
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   119, 132, 138, 106, 123, 130, 124, 143, 151, 147, 162, 169, 158, 171, 178, 136, 152, 161, 123, 142, 153, 126, 142, 155, 128, 144, 156, 134, 149, 160, 160, 173, 181, 166, 177, 183, 126, 145, 156, 135, 153, 163, 109, 131, 143,  96, 113, 125,  81,  95, 105,  69,  85,  93,  84,  99, 107, 111, 125, 132, 101, 118, 131,
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    49,  72,  80,  61,  81,  90,  82, 100, 108,  79,  99, 108,  95, 116, 124, 118, 137, 146,  78, 103, 116, 104, 125, 136, 113, 132, 141, 109, 129, 137, 111, 132, 140, 115, 136, 144,  87, 112, 122,  97, 125, 136, 123, 146, 156, 121, 143, 153,  94, 122, 131,  98, 125, 133, 112, 139, 146, 114, 138, 147, 126, 148, 155,
   132, 153, 161, 102, 130, 140, 128, 152, 162, 125, 152, 163, 147, 169, 179, 144, 169, 179, 148, 172, 180, 151, 175, 184, 162, 182, 190, 178, 195, 201, 181, 198, 204, 187, 202, 208, 178, 196, 203, 175, 195, 201, 194, 207, 213, 185, 202, 207, 184, 201, 207, 178, 197, 203, 186, 202, 206, 178, 197, 201, 181, 197, 203,
   178, 195, 201, 188, 202, 207, 196, 209, 212, 193, 206, 209, 180, 197, 203, 163, 186, 192, 159, 183, 190, 168, 189, 196, 175, 196, 203, 170, 192, 200, 178, 198, 203, 191, 207, 211, 202, 214, 217, 199, 212, 215, 188, 204, 210, 192, 208, 213, 194, 209, 214, 197, 212, 215, 188, 205, 209, 184, 202, 207, 191, 208, 213,
   196, 211, 215, 202, 215, 219, 200, 213, 219, 202, 215, 220, 195, 210, 216, 190, 206, 214, 188, 207, 215, 191, 209, 216, 189, 208, 214, 199, 214, 220, 202, 217, 219, 199, 216, 218, 202, 217, 220, 200, 216, 219, 207, 221, 224, 203, 218, 222, 196, 215, 219, 208, 222, 225, 210, 223, 227, 210, 222, 226, 213, 226, 229,
   218, 230, 232, 218, 230, 232, 221, 233, 234, 223, 233, 235, 225, 235, 236, 230, 238, 239, 230, 238, 238, 237, 243, 243, 235, 243, 242, 238, 244, 243, 240, 245, 244, 239, 245, 244, 238, 244, 243, 237, 243, 242, 239, 244, 243, 238, 244, 243, 237, 243, 242, 238, 244, 243, 239, 244, 243, 237, 243, 242, 238, 244, 243,
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   182, 204, 212, 182, 203, 211, 180, 202, 211, 181, 201, 212, 180, 200, 211, 179, 199, 210, 176, 198, 208, 174, 196, 207, 172, 194, 205, 170, 192, 203, 168, 191, 202, 164, 188, 200, 162, 187, 200, 157, 183, 197, 156, 183, 197, 153, 179, 195, 149, 176, 192, 146, 175, 190, 144, 172, 189, 140, 169, 186, 141, 169, 187,
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    56,  86,  97,  58,  88,  99,  59,  90, 101,  65,  96, 106,  68,  99, 110,  73, 104, 115,  73, 107, 119,  75, 109, 122,  76, 112, 125,  81, 117, 130,  96, 132, 146, 109, 145, 159, 127, 160, 174, 140, 169, 183, 144, 170, 187, 132, 163, 178, 115, 148, 161,  92, 123, 134,  83, 107, 117,  75,  95, 105,  55,  73,  85,
    58,  75,  87,  49,  66,  76,  51,  68,  77,  48,  63,  73,  44,  60,  68,  50,  64,  72,  47,  61,  69,  42,  57,  66,  47,  61,  69,  55,  69,  76,  64,  80,  86,  58,  76,  83,  72,  93,  99,  81, 101, 108, 102, 122, 129, 139, 152, 160, 138, 151, 157, 102, 120, 127, 110, 125, 132, 105, 122, 128, 111, 127, 132,
   118, 133, 135, 114, 130, 131, 135, 148, 148, 129, 142, 144, 131, 142, 145, 116, 130, 133, 150, 159, 161, 133, 145, 147, 140, 151, 151, 142, 153, 152, 149, 158, 158, 125, 138, 138, 134, 145, 147, 119, 133, 136, 142, 154, 156, 138, 150, 153, 112, 126, 130, 124, 135, 139, 117, 129, 133,  97, 111, 114, 109, 123, 127,
   110, 123, 129, 122, 137, 143, 145, 156, 162, 132, 145, 154, 112, 131, 141, 144, 158, 165, 110, 131, 140, 128, 145, 153,  83, 109, 118, 133, 150, 158, 153, 168, 174, 132, 151, 159, 150, 169, 177, 125, 146, 157, 131, 148, 158, 122, 139, 149, 125, 143, 152, 110, 127, 138, 140, 156, 164, 103, 124, 133, 127, 143, 153,
   131, 145, 155,  99, 118, 128, 116, 133, 141,  83, 104, 113,  58,  81,  92,  65,  86,  97,  62,  82,  93,  86, 103, 113,  83, 103, 113,  73,  92, 103,  63,  84,  95,  69,  90, 101,  78,  97, 106,  63,  80,  88,  68,  86,  96,  66,  85,  94,  58,  80,  88,  96, 112, 121,  82,  98, 107,  56,  78,  86,  57,  77,  88,
    73,  93, 102, 101, 117, 125,  87, 106, 114,  84, 103, 112, 102, 121, 129, 127, 146, 156, 124, 142, 152, 114, 132, 142, 112, 132, 141,  62,  89,  99,  67,  94, 103,  81, 107, 115, 111, 134, 141, 122, 143, 151,  87, 118, 128, 107, 135, 143, 119, 143, 153, 129, 151, 159, 134, 155, 163, 148, 166, 173, 131, 151, 159,
   115, 140, 148, 135, 156, 165, 105, 134, 144, 114, 143, 156, 109, 142, 156, 136, 163, 174, 149, 173, 182, 167, 186, 193, 165, 185, 192, 161, 181, 188, 170, 189, 196, 178, 194, 201, 178, 196, 202, 187, 202, 207, 183, 200, 205, 189, 204, 208, 175, 195, 200, 185, 200, 205, 183, 200, 204, 183, 200, 204, 173, 191, 197,
   170, 190, 194, 176, 194, 199, 180, 196, 202, 186, 200, 205, 190, 204, 208, 190, 204, 209, 176, 194, 201, 172, 193, 198, 171, 192, 198, 165, 189, 196, 157, 184, 191, 178, 198, 203, 186, 203, 207, 197, 210, 215, 197, 211, 215, 185, 204, 208, 187, 205, 210, 191, 208, 211, 200, 215, 217, 198, 212, 215, 191, 207, 212,
   187, 205, 211, 193, 208, 214, 200, 213, 219, 187, 205, 211, 196, 211, 218, 202, 215, 222, 193, 209, 216, 194, 210, 217, 200, 216, 221, 196, 213, 219, 196, 213, 218, 206, 219, 222, 209, 221, 225, 209, 222, 225, 206, 220, 224, 208, 222, 225, 210, 223, 226, 207, 221, 225, 212, 224, 228, 212, 225, 229, 212, 225, 228,
   217, 229, 231, 221, 232, 235, 222, 232, 234, 225, 235, 235, 225, 235, 235, 227, 237, 237, 229, 238, 237, 232, 240, 239, 235, 243, 241, 235, 243, 242, 236, 243, 242, 238, 244, 243, 240, 246, 245, 237, 243, 242, 237, 243, 242, 238, 244, 243, 237, 243, 242, 238, 244, 243, 238, 244, 243, 238, 244, 243, 239, 244, 243,
   199, 215, 221, 199, 215, 222, 199, 215, 222, 196, 213, 220, 195, 214, 221, 195, 213, 220, 195, 213, 220, 194, 212, 219, 194, 211, 220, 193, 210, 219, 194, 212, 219, 192, 210, 217, 193, 211, 218, 190, 209, 216, 190, 209, 216, 190, 208, 215, 189, 208, 215, 189, 208, 216, 188, 207, 215, 185, 206, 214, 183, 204, 212,
   183, 204, 212, 181, 202, 210, 181, 201, 212, 180, 200, 211, 180, 200, 211, 179, 199, 210, 177, 198, 209, 173, 195, 206, 172, 194, 205, 170, 192, 203, 166, 189, 200, 164, 188, 200, 163, 188, 200, 159, 185, 199, 155, 182, 196, 153, 180, 194, 148, 176, 191, 146, 174, 190, 144, 172, 189, 142, 170, 187, 142, 169, 186,
   137, 167, 185, 137, 165, 185, 138, 166, 185, 137, 165, 183, 138, 165, 185, 136, 164, 184, 137, 164, 185, 136, 163, 183, 136, 164, 182, 134, 163, 181, 137, 165, 182, 134, 162, 179, 134, 162, 181, 133, 160, 180, 133, 161, 179, 129, 157, 174, 127, 155, 172, 122, 151, 168, 119, 149, 166, 114, 144, 161, 110, 142, 159,
   107, 140, 156, 102, 135, 151, 103, 136, 152,  99, 131, 148,  96, 129, 145,  94, 127, 143,  92, 124, 141,  91, 121, 138,  86, 116, 133,  84, 114, 129,  78, 110, 124,  77, 107, 122,  73, 104, 117,  70, 100, 113,  67,  97, 110,  61,  92, 105,  62,  90, 104,  60,  87, 101,  59,  86, 100,  59,  86, 100,  59,  87,  97,
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    59,  76,  86,  59,  75,  84,  56,  71,  80,  45,  61,  69,  36,  52,  62,  41,  56,  65,  50,  62,  71,  46,  60,  69,  60,  72,  79,  64,  77,  83,  59,  74,  80,  65,  79,  85,  55,  80,  87,  86, 105, 113, 151, 164, 169, 154, 165, 170, 121, 137, 143, 119, 136, 142, 112, 128, 134, 120, 135, 141, 105, 122, 127,
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   140, 150, 155, 124, 136, 142, 122, 133, 140, 130, 141, 147, 108, 123, 130, 132, 146, 154, 103, 124, 133, 133, 148, 156, 116, 136, 144, 130, 149, 156,  90, 115, 126, 106, 130, 138, 144, 160, 168, 124, 144, 154, 158, 171, 179, 113, 133, 145,  88, 111, 124, 129, 146, 154, 110, 129, 138, 102, 123, 132,  89, 111, 122,
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    64,  85,  94,  77,  97, 105,  95, 112, 120,  82, 101, 111,  86, 106, 117,  83, 105, 116,  84, 107, 120,  95, 117, 128, 116, 135, 143, 115, 134, 142, 100, 122, 129, 122, 141, 147, 119, 142, 148, 131, 151, 159, 134, 156, 162, 149, 167, 172, 150, 168, 174, 143, 163, 170, 120, 145, 154, 107, 131, 141, 122, 147, 156,
   127, 150, 159, 113, 139, 149, 114, 141, 152, 138, 159, 169, 141, 164, 174, 151, 173, 183, 150, 172, 181, 155, 176, 186, 169, 186, 194, 158, 179, 188, 173, 189, 196, 165, 185, 192, 172, 191, 197, 176, 194, 200, 182, 198, 204, 191, 204, 208, 187, 202, 205, 178, 195, 201, 174, 192, 198, 179, 197, 201, 179, 196, 199,
   173, 191, 195, 174, 192, 196, 170, 191, 196, 190, 204, 208, 182, 199, 204, 194, 206, 211, 188, 202, 209, 190, 205, 208, 186, 203, 208, 180, 198, 204, 174, 195, 200, 182, 200, 206, 179, 198, 203, 192, 207, 211, 195, 209, 213, 198, 212, 216, 188, 206, 209, 195, 210, 214, 187, 205, 208, 193, 209, 212, 196, 211, 215,
   198, 212, 218, 198, 213, 218, 196, 212, 216, 201, 215, 219, 195, 211, 216, 193, 210, 216, 204, 217, 222, 197, 213, 218, 199, 215, 219, 203, 218, 221, 202, 217, 221, 200, 215, 219, 208, 221, 224, 210, 222, 225, 212, 225, 227, 213, 225, 227, 211, 225, 227, 215, 227, 231, 213, 226, 228, 215, 227, 229, 216, 229, 231,
   217, 229, 231, 220, 232, 234, 223, 233, 233, 227, 236, 236, 230, 238, 238, 229, 237, 237, 230, 238, 238, 231, 238, 239, 235, 243, 242, 236, 243, 242, 233, 242, 241, 233, 241, 240, 237, 243, 242, 238, 244, 243, 237, 243, 242, 236, 242, 241, 237, 243, 242, 236, 242, 241, 237, 243, 242, 238, 243, 242, 238, 243, 242,
   200, 216, 222, 198, 215, 221, 197, 214, 221, 195, 213, 220, 196, 214, 221, 195, 213, 220, 194, 213, 220, 194, 212, 219, 194, 211, 220, 194, 211, 220, 193, 210, 218, 192, 210, 218, 192, 210, 217, 190, 209, 216, 190, 209, 217, 189, 208, 217, 189, 208, 215, 187, 206, 214, 186, 206, 214, 185, 206, 214, 183, 204, 212,
   181, 203, 210, 180, 200, 211, 179, 199, 210, 178, 198, 209, 178, 198, 209, 177, 197, 208, 174, 196, 207, 171, 193, 206, 171, 193, 203, 168, 190, 202, 166, 189, 200, 164, 188, 200, 161, 186, 198, 158, 183, 197, 156, 182, 194, 152, 178, 192, 147, 176, 191, 145, 174, 189, 144, 172, 189, 141, 169, 186, 141, 168, 187,
   139, 166, 185, 138, 166, 185, 137, 166, 185, 138, 165, 185, 140, 168, 184, 140, 168, 184, 140, 166, 183, 139, 166, 183, 141, 167, 184, 136, 164, 181, 134, 162, 179, 135, 163, 180, 135, 163, 180, 134, 161, 179, 129, 157, 175, 126, 155, 172, 120, 151, 167, 116, 148, 164, 112, 144, 161, 110, 142, 159, 103, 136, 154,
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   108, 124, 131,  90, 107, 116, 100, 116, 125, 101, 118, 127,  89, 109, 119,  90, 110, 122, 119, 137, 147, 101, 122, 132,  82, 106, 113, 121, 139, 145, 110, 131, 136, 124, 143, 148, 100, 127, 137, 109, 136, 145, 108, 134, 144,  88, 122, 132,  87, 122, 132, 114, 142, 152, 155, 172, 178, 146, 165, 173, 126, 149, 159,
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   175, 193, 196, 169, 188, 192, 169, 190, 193, 160, 184, 190, 179, 197, 200, 183, 200, 204, 187, 203, 206, 191, 205, 208, 190, 205, 210, 191, 205, 210, 178, 197, 202, 179, 198, 203, 182, 200, 205, 182, 200, 205, 190, 206, 209, 192, 208, 211, 191, 208, 212, 181, 202, 205, 192, 209, 212, 180, 200, 205, 195, 209, 215,
   194, 210, 215, 199, 213, 218, 202, 216, 219, 191, 209, 213, 201, 215, 219, 200, 215, 218, 197, 214, 217, 200, 216, 219, 205, 220, 223, 205, 219, 222, 210, 221, 226, 208, 221, 225, 201, 217, 220, 206, 220, 223, 213, 225, 227, 218, 229, 231, 220, 232, 234, 219, 231, 233, 217, 229, 231, 217, 229, 231, 218, 230, 232,
   221, 232, 234, 221, 232, 235, 225, 235, 235, 227, 236, 236, 228, 237, 237, 232, 239, 239, 228, 238, 238, 232, 240, 240, 232, 240, 240, 235, 242, 242, 235, 242, 243, 233, 241, 241, 234, 242, 241, 237, 243, 242, 238, 244, 243, 236, 242, 241, 236, 242, 241, 236, 242, 241, 236, 242, 241, 236, 242, 241, 237, 243, 242,
   199, 215, 222, 198, 215, 222, 196, 214, 221, 196, 214, 221, 195, 213, 220, 195, 213, 220, 194, 212, 219, 194, 212, 219, 193, 211, 220, 192, 210, 219, 193, 211, 219, 191, 210, 217, 192, 210, 217, 191, 210, 217, 189, 208, 216, 189, 208, 216, 188, 207, 215, 187, 206, 214, 187, 206, 214, 184, 204, 212, 182, 202, 211,
   181, 201, 212, 179, 200, 211, 179, 199, 210, 177, 197, 208, 176, 197, 208, 174, 195, 206, 172, 194, 206, 170, 192, 204, 169, 190, 202, 168, 189, 201, 163, 187, 199, 162, 187, 198, 161, 186, 198, 157, 183, 196, 155, 181, 195, 152, 179, 193, 148, 176, 191, 145, 174, 191, 144, 172, 189, 145, 171, 188, 140, 168, 186,
   140, 167, 186, 139, 167, 186, 139, 168, 185, 140, 168, 185, 141, 168, 185, 143, 168, 186, 143, 169, 186, 142, 168, 185, 142, 167, 184, 141, 167, 183, 137, 164, 180, 138, 164, 181, 134, 162, 179, 129, 157, 175, 125, 155, 173, 121, 151, 168, 116, 148, 167, 110, 142, 161, 107, 139, 158, 102, 135, 154, 100, 133, 152,
    98, 130, 150,  93, 125, 144,  91, 124, 142,  92, 123, 142,  90, 120, 139,  90, 120, 137,  86, 117, 134,  85, 115, 132,  83, 114, 129,  80, 109, 124,  77, 106, 121,  77, 106, 120,  69,  99, 113,  65,  94, 108,  62,  91, 105,  62,  90, 104,  61,  87, 101,  60,  87, 100,  60,  87, 100,  59,  86,  99,  60,  88,  99,
    60,  88,  98,  57,  86,  95,  61,  89,  98,  58,  90,  99,  57,  89, 100,  59,  92, 103,  57,  92, 102,  61,  96, 107,  69, 103, 116,  82, 118, 131, 104, 139, 153, 127, 159, 175, 138, 168, 183, 146, 174, 189, 147, 175, 190, 132, 164, 179, 125, 153, 168, 102, 129, 143,  89, 110, 121,  77,  96, 107,  65,  81,  91,
    56,  71,  80,  59,  73,  81,  63,  77,  83,  54,  67,  75,  49,  63,  71,  28,  45,  54,  29,  45,  53,  22,  36,  42,  32,  45,  53,  44,  57,  63,  52,  65,  72,  69,  82,  90,  75,  99, 109, 185, 195, 200, 160, 173, 178, 134, 150, 156, 135, 149, 153, 129, 143, 147, 112, 129, 136, 142, 153, 160, 133, 147, 153,
   119, 132, 139, 134, 147, 146, 124, 138, 137, 142, 152, 152, 153, 162, 161, 138, 148, 148, 154, 162, 162, 123, 134, 134, 129, 141, 142, 166, 173, 173, 110, 123, 127, 148, 158, 161, 151, 159, 164, 106, 122, 125, 101, 117, 119, 134, 148, 151, 111, 126, 128, 116, 129, 130, 115, 128, 129, 143, 151, 150,  94, 108, 111,
   136, 146, 149, 116, 128, 132, 131, 142, 146,  77,  94, 100,  97, 111, 118, 104, 118, 127, 120, 133, 142, 105, 122, 130, 100, 117, 126, 107, 126, 134,  91, 114, 123, 123, 140, 148, 132, 148, 155, 110, 129, 139, 117, 134, 145,  85, 106, 121,  75,  95, 108,  87, 105, 114, 108, 126, 133,  58,  84,  94,  74,  99, 110,
    89, 106, 116,  91, 112, 121,  69,  94, 105,  79,  99, 109,  74,  95, 104,  88, 106, 116,  88, 107, 118,  73,  94, 104,  64,  84,  96,  67,  88,  98,  53,  74,  86,  77,  96, 107,  66,  87,  98,  85, 101, 110,  83, 101, 110,  58,  80,  89,  55,  78,  87,  97, 113, 121,  86, 105, 114, 105, 124, 132,  95, 114, 123,
    84, 102, 112,  70,  90, 100,  52,  75,  86,  78,  98, 107,  96, 115, 124,  90, 110, 120,  96, 117, 126, 112, 132, 140, 117, 136, 142, 130, 146, 151, 125, 143, 148, 113, 134, 140, 150, 166, 172, 150, 167, 174, 150, 169, 176, 158, 174, 180, 159, 176, 182, 131, 156, 164, 140, 162, 171, 173, 186, 192, 151, 171, 178,
   120, 145, 155, 124, 148, 158, 149, 166, 174, 138, 158, 167, 138, 159, 168, 108, 138, 150, 118, 148, 160, 122, 153, 166, 139, 166, 176, 168, 185, 193, 164, 181, 190, 151, 171, 181, 159, 180, 187, 173, 191, 197, 165, 185, 191, 170, 189, 193, 177, 194, 198, 184, 199, 203, 186, 201, 204, 169, 189, 194, 178, 196, 199,
   180, 197, 200, 164, 186, 190, 181, 198, 201, 176, 194, 198, 158, 182, 189, 168, 188, 193, 184, 201, 205, 181, 198, 203, 189, 204, 209, 188, 203, 208, 192, 206, 211, 188, 203, 208, 189, 203, 208, 192, 206, 210, 191, 206, 211, 189, 205, 209, 183, 201, 206, 182, 201, 206, 188, 205, 209, 186, 204, 210, 171, 193, 200,
   178, 197, 204, 195, 209, 214, 201, 215, 218, 201, 215, 219, 195, 211, 215, 194, 212, 215, 200, 216, 219, 199, 215, 218, 202, 217, 220, 206, 220, 223, 207, 220, 223, 207, 221, 224, 211, 224, 226, 209, 223, 224, 210, 223, 225, 210, 223, 225, 216, 227, 229, 220, 231, 233, 220, 232, 234, 220, 231, 234, 223, 232, 233,
   222, 232, 233, 224, 234, 234, 223, 234, 234, 225, 235, 236, 228, 237, 237, 230, 239, 239, 231, 240, 240, 231, 239, 239, 232, 240, 240, 234, 241, 241, 235, 241, 242, 233, 241, 241, 234, 241, 240, 234, 241, 240, 235, 242, 241, 236, 243, 242, 235, 241, 240, 232, 240, 239, 234, 241, 238, 235, 241, 240, 236, 242, 241,
   199, 215, 222, 198, 214, 221, 196, 214, 221, 195, 213, 220, 195, 213, 220, 195, 213, 220, 194, 212, 219, 194, 212, 219, 193, 211, 220, 193, 210, 219, 193, 211, 219, 191, 210, 217, 192, 210, 217, 190, 209, 216, 190, 209, 217, 189, 208, 216, 188, 207, 215, 187, 205, 213, 184, 204, 212, 182, 203, 211, 180, 201, 212,
   179, 200, 211, 176, 198, 209, 175, 197, 208, 174, 196, 207, 172, 195, 205, 169, 192, 204, 169, 191, 203, 166, 190, 202, 168, 190, 202, 163, 187, 199, 163, 187, 199, 162, 186, 198, 162, 186, 198, 157, 183, 196, 156, 182, 196, 152, 179, 193, 149, 176, 192, 145, 174, 190, 144, 173, 190, 142, 170, 187, 141, 169, 186,
   142, 169, 186, 140, 168, 185, 142, 169, 186, 140, 168, 185, 143, 169, 186, 143, 169, 186, 143, 169, 186, 143, 169, 185, 141, 168, 184, 139, 165, 181, 137, 164, 180, 135, 163, 178, 129, 159, 174, 128, 156, 173, 121, 152, 168, 118, 148, 166, 111, 143, 162, 107, 140, 159, 103, 136, 155,  98, 131, 150,  98, 131, 148,
    93, 126, 143,  91, 124, 141,  89, 121, 137,  91, 121, 137,  88, 118, 135,  88, 117, 134,  83, 113, 130,  84, 114, 131,  81, 112, 127,  80, 110, 125,  75, 104, 119,  74, 103, 117,  70,  99, 113,  64,  92, 106,  64,  91, 105,  58,  86, 100,  60,  86, 100,  59,  86, 100,  59,  87,  99,  59,  87,  98,  59,  87,  98,
    58,  85,  97,  57,  86,  95,  58,  86,  96,  57,  88,  97,  56,  89,  99,  59,  93, 103,  58,  92, 103,  62,  96, 106,  71, 106, 119,  90, 127, 140, 109, 144, 159, 127, 160, 175, 134, 167, 183, 142, 172, 187, 146, 175, 190, 142, 172, 186, 130, 158, 173, 104, 131, 144,  79, 102, 115,  69,  89,  99,  64,  82,  90,
    66,  81,  88,  49,  65,  73,  44,  62,  68,  50,  65,  71,  51,  64,  70,  42,  56,  63,  36,  51,  56,  38,  53,  58,  35,  48,  53,  42,  55,  60,  42,  56,  64,  51,  68,  77, 146, 164, 170, 176, 189, 194, 147, 163, 169, 158, 170, 174, 141, 155, 158, 102, 122, 128, 141, 153, 160, 151, 162, 167, 153, 163, 169,
   124, 138, 143, 150, 160, 162, 162, 171, 171, 122, 137, 137, 112, 127, 127, 165, 172, 173, 131, 143, 143, 158, 166, 166, 136, 147, 148, 119, 131, 134, 135, 146, 149, 149, 158, 162, 132, 145, 149, 130, 142, 146, 104, 119, 125,  95, 110, 114,  44,  65,  67, 115, 127, 129, 122, 133, 133, 115, 126, 127,  94, 107, 111,
   117, 129, 133, 162, 170, 172, 145, 154, 157,  82,  99, 103, 111, 124, 131, 111, 126, 133, 103, 119, 127,  79,  98, 107,  74,  93, 103,  90, 110, 119, 127, 143, 151,  95, 115, 123, 121, 138, 146,  82, 107, 116,  70,  94, 105,  75,  99, 109,  73,  93, 103,  68,  88,  97,  72,  93, 102,  78, 102, 109,  85, 106, 115,
    45,  70,  82,  85, 106, 116,  94, 114, 124,  66,  86,  96,  88, 104, 113,  66,  88,  97,  90, 107, 117,  65,  86,  97,  86, 104, 115,  91, 109, 118,  86, 103, 113,  77,  97, 106, 103, 119, 128,  70,  90, 100,  67,  83,  92,  95, 110, 119,  99, 115, 123,  88, 105, 114,  71,  92, 101,  59,  84,  94,  77,  97, 106,
    74,  96, 102,  85, 103, 111,  75,  95, 103,  55,  78,  86,  73,  95, 102,  96, 116, 123,  89, 109, 117,  71,  96, 104,  80, 104, 112,  92, 115, 122,  95, 118, 123, 101, 124, 131,  96, 124, 133, 113, 138, 148, 134, 155, 164, 133, 155, 163, 155, 172, 178, 145, 166, 173, 137, 161, 167, 131, 156, 162, 171, 186, 190,
   161, 178, 181, 152, 169, 177, 142, 162, 170, 121, 146, 156, 112, 139, 151, 152, 172, 178, 148, 169, 177, 130, 159, 169, 144, 169, 178, 150, 173, 182, 159, 178, 187, 144, 167, 176, 128, 159, 170, 136, 166, 175, 159, 181, 188, 171, 189, 194, 173, 192, 196, 172, 191, 195, 165, 185, 191, 180, 196, 200, 181, 198, 201,
   184, 199, 203, 186, 201, 204, 176, 194, 197, 179, 196, 200, 172, 192, 197, 160, 183, 189, 172, 191, 197, 175, 194, 199, 174, 194, 199, 185, 201, 206, 183, 199, 204, 182, 199, 204, 182, 199, 204, 188, 203, 209, 186, 201, 207, 197, 210, 214, 190, 205, 210, 180, 198, 204, 184, 201, 207, 187, 204, 211, 194, 208, 214,
   189, 205, 211, 188, 206, 211, 192, 209, 214, 194, 211, 214, 203, 217, 221, 206, 219, 221, 192, 210, 212, 206, 219, 222, 203, 217, 220, 201, 216, 220, 206, 219, 222, 210, 222, 225, 211, 223, 225, 212, 225, 227, 213, 225, 227, 209, 223, 225, 213, 225, 227, 215, 228, 230, 222, 232, 234, 223, 232, 235, 224, 233, 235,
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   142, 169, 185, 143, 170, 186, 142, 169, 186, 144, 170, 187, 144, 169, 186, 146, 171, 187, 143, 169, 184, 141, 168, 183, 141, 167, 183, 140, 166, 182, 134, 162, 179, 134, 163, 178, 126, 157, 172, 123, 153, 170, 117, 148, 166, 114, 145, 162, 107, 140, 157, 102, 135, 151,  99, 133, 150,  96, 130, 145,  92, 125, 142,
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    58,  86,  96,  56,  83,  94,  56,  85,  94,  56,  87,  96,  54,  87,  98,  56,  92, 102,  60,  95, 105,  63,  99, 109,  75, 109, 123,  90, 127, 141, 109, 144, 158, 123, 157, 173, 134, 167, 182, 134, 168, 183, 146, 175, 189, 144, 174, 187, 131, 160, 175, 100, 130, 143,  73,  98, 109,  61,  83,  93,  62,  80,  88,
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   148, 158, 161, 145, 155, 158, 146, 157, 157, 108, 122, 126, 116, 130, 135, 122, 135, 142,  66,  84,  93,  77,  94, 102,  73,  90,  97,  98, 110, 117,  87, 101, 108,  64,  82,  89,  59,  78,  85,  47,  67,  77,  22,  46,  57,  38,  61,  71,  88, 106, 114, 102, 118, 125,  82,  99, 108,  81, 100, 106,  50,  72,  82,
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   170, 188, 195, 175, 193, 199, 168, 187, 194, 163, 185, 191, 182, 197, 203, 163, 183, 191, 157, 180, 188, 178, 196, 201, 182, 198, 204, 176, 193, 198, 184, 199, 204, 181, 197, 202, 189, 202, 206, 188, 203, 208, 187, 202, 207, 184, 201, 206, 192, 207, 211, 196, 209, 214, 190, 205, 211, 184, 202, 208, 180, 199, 205,
   183, 201, 207, 185, 202, 208, 197, 211, 215, 188, 206, 210, 185, 205, 210, 197, 212, 215, 195, 212, 215, 196, 211, 215, 197, 213, 216, 203, 216, 220, 203, 217, 219, 207, 219, 221, 204, 218, 220, 207, 220, 222, 208, 221, 223, 214, 226, 228, 216, 228, 228, 220, 230, 230, 219, 231, 231, 218, 229, 232, 223, 234, 235,
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   197, 215, 221, 196, 214, 221, 196, 214, 221, 195, 213, 220, 195, 213, 220, 195, 213, 220, 194, 212, 219, 194, 212, 219, 193, 211, 218, 192, 211, 218, 193, 211, 218, 191, 209, 216, 191, 209, 216, 189, 208, 217, 189, 208, 216, 187, 206, 214, 187, 206, 214, 185, 204, 212, 183, 203, 212, 180, 200, 210, 176, 197, 208,
   175, 197, 207, 174, 195, 207, 171, 193, 205, 171, 193, 205, 167, 191, 203, 169, 191, 203, 167, 189, 202, 167, 190, 202, 168, 191, 203, 168, 190, 202, 164, 187, 201, 164, 188, 200, 163, 186, 199, 161, 183, 199, 159, 183, 197, 156, 182, 196, 153, 179, 194, 153, 178, 193, 149, 175, 191, 149, 174, 190, 147, 173, 189,
   147, 173, 188, 149, 173, 189, 147, 172, 188, 148, 172, 188, 147, 172, 188, 143, 169, 185, 143, 168, 184, 139, 165, 181, 138, 164, 180, 135, 161, 178, 131, 159, 176, 128, 156, 175, 122, 152, 171, 117, 148, 167, 112, 144, 163, 106, 138, 157, 102, 134, 150,  96, 130, 146,  93, 126, 142,  93, 124, 140,  93, 123, 141,
    91, 121, 140,  89, 119, 137,  87, 117, 134,  89, 117, 134,  85, 115, 132,  86, 114, 131,  85, 113, 130,  82, 110, 127,  80, 108, 125,  77, 105, 122,  74, 103, 118,  71, 100, 115,  69,  96, 110,  67,  94, 108,  63,  90, 104,  62,  88, 104,  61,  88, 102,  60,  87, 101,  60,  87, 101,  59,  86,  99,  58,  85,  99,
    56,  83,  98,  58,  85,  99,  61,  89, 100,  62,  91, 102,  65,  94, 106,  64,  96, 107,  64,  98, 109,  73, 108, 119,  80, 115, 128,  96, 130, 144, 111, 145, 159, 126, 160, 174, 134, 167, 181, 143, 173, 187, 142, 173, 188, 136, 169, 183, 129, 159, 174, 109, 137, 147,  91, 114, 125,  78,  96, 105,  69,  84,  94,
    59,  74,  83,  45,  60,  70,  48,  60,  70,  48,  58,  67,  49,  60,  67,  41,  52,  59,  39,  51,  58,  50,  61,  68,  48,  58,  65,  50,  65,  70,  73,  93, 100, 178, 190, 193, 148, 165, 169, 161, 173, 175, 136, 149, 153, 149, 159, 163, 126, 140, 144, 161, 171, 173, 158, 167, 171, 164, 173, 176, 162, 170, 173,
   158, 166, 168, 152, 162, 163, 134, 145, 149, 145, 156, 157, 146, 157, 157, 132, 145, 147, 145, 156, 159, 117, 131, 134,  96, 112, 115, 132, 145, 147, 133, 143, 145, 112, 123, 128,  97, 109, 117, 102, 116, 123, 123, 137, 144,  77,  92,  99,  90, 103, 109, 131, 140, 145, 127, 139, 142, 110, 123, 128,  93, 108, 113,
   146, 157, 160, 104, 120, 126, 134, 145, 149, 158, 166, 170, 107, 121, 126, 106, 119, 126,  65,  83,  91,  53,  71,  80,  65,  80,  89,  76,  89,  97,  76,  90,  97,  81,  95, 100,  79,  94, 100,  60,  77,  86,  57,  74,  84,  56,  76,  87,  42,  66,  76,  42,  66,  77,  44,  63,  72,  69,  88,  96,  80,  96, 105,
    85,  97, 107,  67,  83,  93,  54,  70,  80,  78,  90,  99,  60,  74,  82,  55,  72,  80,  39,  58,  65,  42,  63,  72,  71,  87,  95,  88, 105, 111, 108, 121, 129,  91, 106, 113,  65,  87,  95,  64,  85,  95,  85, 103, 111,  46,  69,  80,  54,  76,  85,  56,  75,  85,  48,  68,  78,  67,  87,  95,  74,  92,  99,
    66,  85,  91,  85, 101, 109,  90, 105, 113,  78,  96, 104,  98, 114, 121, 105, 121, 129,  92, 111, 119, 106, 123, 132, 105, 124, 134, 104, 122, 133, 101, 122, 135, 127, 151, 162, 119, 145, 158, 142, 162, 173, 137, 160, 170, 157, 176, 182, 161, 180, 186, 144, 169, 177, 159, 178, 184, 139, 164, 172, 137, 162, 168,
   145, 165, 169, 109, 137, 144, 145, 163, 170, 124, 147, 156, 101, 129, 139,  93, 123, 136, 143, 163, 172, 138, 160, 169, 151, 171, 177, 139, 162, 171, 142, 165, 174, 127, 155, 167, 156, 176, 184, 144, 170, 179, 151, 176, 184, 168, 187, 193, 151, 175, 183, 170, 189, 195, 182, 196, 202, 166, 185, 193, 167, 186, 192,
   154, 177, 185, 158, 180, 188, 155, 178, 186, 164, 184, 192, 162, 183, 191, 171, 189, 196, 168, 186, 193, 145, 170, 180, 162, 182, 190, 174, 193, 198, 179, 195, 201, 184, 199, 204, 188, 202, 207, 187, 202, 205, 191, 206, 210, 189, 203, 209, 190, 205, 210, 190, 205, 211, 193, 207, 212, 194, 208, 213, 183, 201, 207,
   193, 207, 211, 194, 208, 212, 183, 202, 206, 190, 207, 211, 192, 209, 212, 198, 213, 216, 196, 211, 214, 193, 210, 214, 200, 215, 218, 198, 214, 217, 205, 218, 220, 199, 215, 217, 208, 220, 222, 203, 218, 220, 203, 217, 219, 200, 216, 218, 210, 223, 225, 217, 228, 229, 219, 229, 231, 221, 231, 231, 220, 232, 233,
   223, 233, 233, 228, 236, 236, 230, 236, 237, 230, 238, 237, 230, 238, 237, 232, 238, 239, 231, 239, 239, 233, 241, 241, 234, 240, 240, 233, 240, 239, 235, 241, 240, 235, 241, 240, 237, 243, 242, 236, 242, 241, 236, 242, 241, 235, 241, 240, 235, 241, 240, 234, 240, 239, 236, 241, 240, 238, 243, 242, 236, 241, 240,
   196, 214, 220, 195, 213, 220, 195, 213, 220, 194, 212, 219, 195, 213, 220, 195, 213, 220, 194, 212, 219, 194, 212, 219, 194, 212, 219, 192, 211, 218, 192, 210, 217, 192, 210, 217, 190, 209, 215, 190, 209, 217, 188, 207, 215, 188, 207, 215, 186, 205, 213, 184, 204, 212, 180, 200, 211, 181, 201, 210, 178, 198, 209,
   174, 196, 207, 173, 194, 206, 172, 194, 206, 169, 192, 204, 171, 192, 204, 167, 190, 202, 168, 190, 202, 168, 191, 203, 168, 191, 203, 168, 190, 202, 168, 189, 203, 165, 187, 202, 164, 187, 199, 160, 184, 199, 159, 182, 197, 156, 180, 195, 156, 182, 196, 153, 178, 193, 152, 177, 192, 150, 176, 190, 150, 176, 190,
   149, 175, 189, 149, 174, 190, 149, 174, 189, 146, 172, 187, 146, 171, 186, 144, 170, 186, 139, 166, 181, 138, 164, 181, 134, 161, 179, 132, 160, 176, 127, 156, 174, 122, 151, 170, 118, 148, 168, 113, 145, 164, 106, 139, 158, 102, 135, 153,  96, 130, 147,  93, 126, 142,  91, 124, 140,  91, 124, 140,  90, 121, 140,
    92, 122, 141,  88, 118, 136,  89, 118, 135,  84, 114, 131,  85, 113, 130,  85, 113, 130,  84, 112, 129,  79, 107, 124,  77, 105, 122,  76, 104, 122,  75, 105, 119,  69,  98, 113,  70,  97, 111,  67,  94, 108,  64,  91, 105,  64,  90, 104,  62,  88, 102,  61,  87, 101,  59,  86, 100,  59,  86,  99,  58,  85, 100,
    60,  87, 101,  62,  89, 103,  63,  90, 103,  61,  91, 102,  63,  93, 104,  59,  91, 102,  61,  95, 106,  69, 104, 117,  79, 115, 128,  95, 129, 144, 110, 145, 159, 123, 158, 172, 135, 168, 182, 144, 174, 188, 143, 173, 187, 140, 172, 186, 128, 158, 173,  97, 125, 139,  79, 101, 112,  69,  88,  97,  64,  80,  89,
    63,  77,  87,  56,  68,  78,  43,  55,  65,  38,  49,  60,  45,  54,  63,  40,  49,  59,  40,  50,  59,  42,  52,  61,  54,  64,  72,  65,  78,  84, 137, 153, 159, 166, 179, 182, 159, 172, 174, 126, 139, 142, 161, 170, 172, 119, 133, 137, 120, 135, 139, 159, 167, 170, 151, 161, 163, 141, 153, 156, 145, 155, 157,
   147, 156, 160, 149, 158, 160, 144, 154, 157, 133, 144, 146, 153, 162, 162, 157, 165, 166, 116, 130, 132, 126, 139, 141, 127, 141, 143,  84, 100, 103, 116, 127, 129, 104, 115, 120, 128, 138, 142,  45,  62,  70,  86,  99, 107,  82,  95, 103,  96, 107, 115, 148, 156, 161, 137, 147, 153, 118, 131, 136, 117, 129, 133,
   124, 135, 139, 110, 124, 129, 139, 149, 154, 151, 161, 164,  73,  89,  97,  96, 111, 117,  96, 110, 116,  43,  62,  71,  54,  70,  78,  52,  65,  73,  51,  66,  73,  61,  74,  80,  50,  67,  74,  71,  86,  95,  97, 108, 116,  94, 108, 116, 103, 116, 124, 108, 122, 129,  68,  87,  95,  77,  96, 105,  72,  86,  97,
    71,  91, 101,  94, 110, 119,  96, 113, 122,  60,  78,  90,  73,  87,  97,  50,  68,  79,  52,  69,  79,  61,  78,  87,  72,  89, 100,  57,  75,  86,  71,  88,  98,  58,  81,  92,  78,  97, 107,  89, 105, 114,  86, 105, 114,  57,  77,  87,  77,  94, 103,  89, 105, 114,  99, 116, 124,  81, 100, 107, 106, 122, 128,
   113, 129, 135,  93, 112, 118,  85, 102, 110, 104, 118, 126,  98, 114, 122,  71,  91, 100,  98, 116, 124,  92, 112, 121, 103, 122, 131,  90, 110, 122,  94, 118, 130, 107, 133, 146, 123, 148, 161, 127, 151, 165, 129, 154, 166, 138, 162, 174, 121, 150, 161, 167, 185, 192, 165, 183, 190, 152, 173, 180, 148, 169, 177,
   141, 161, 171, 114, 138, 147, 129, 151, 160, 131, 152, 161, 114, 139, 149, 136, 156, 165, 114, 140, 151, 112, 140, 152, 108, 139, 150, 120, 148, 158, 122, 149, 161, 162, 179, 186, 119, 149, 161, 135, 163, 172, 137, 165, 174, 138, 167, 175, 163, 183, 190, 161, 181, 190, 155, 178, 186, 170, 189, 195, 186, 199, 205,
   137, 165, 175, 153, 175, 185, 176, 192, 197, 160, 180, 190, 171, 189, 196, 166, 186, 194, 168, 186, 194, 166, 184, 192, 137, 165, 173, 148, 174, 181, 171, 190, 195, 171, 190, 196, 178, 196, 201, 187, 202, 205, 187, 203, 205, 190, 206, 208, 192, 206, 210, 191, 205, 210, 188, 203, 209, 187, 204, 208, 196, 209, 214,
   168, 191, 197, 187, 203, 208, 197, 210, 213, 192, 208, 213, 190, 207, 211, 181, 201, 206, 202, 214, 216, 192, 209, 214, 196, 211, 216, 202, 216, 219, 205, 218, 221, 209, 221, 223, 202, 216, 218, 207, 220, 222, 205, 219, 220, 205, 219, 221, 198, 215, 216, 205, 220, 221, 216, 227, 229, 222, 232, 232, 224, 234, 234,
   224, 234, 234, 226, 235, 235, 229, 237, 237, 231, 237, 237, 232, 239, 239, 231, 238, 237, 234, 241, 240, 233, 240, 240, 233, 241, 240, 236, 241, 241, 234, 241, 240, 233, 241, 240, 236, 242, 241, 239, 243, 243, 235, 242, 241, 236, 242, 241, 233, 239, 238, 233, 239, 238, 233, 239, 237, 233, 239, 238, 235, 240, 239,
   198, 214, 220, 196, 214, 221, 196, 213, 220, 195, 213, 220, 194, 212, 219, 194, 212, 220, 194, 212, 219, 195, 213, 220, 194, 212, 219, 193, 211, 218, 192, 210, 217, 191, 210, 217, 191, 209, 217, 189, 208, 216, 189, 208, 216, 186, 206, 214, 186, 205, 214, 182, 203, 211, 181, 201, 211, 178, 199, 210, 176, 197, 208,
   174, 196, 207, 172, 194, 206, 171, 193, 205, 171, 193, 205, 169, 191, 203, 169, 191, 203, 167, 190, 202, 168, 190, 202, 168, 190, 202, 168, 190, 202, 168, 190, 202, 166, 188, 200, 164, 186, 198, 163, 186, 198, 160, 183, 198, 158, 182, 196, 157, 181, 196, 154, 179, 193, 152, 179, 193, 152, 178, 192, 152, 177, 191,
   151, 177, 191, 149, 175, 189, 148, 174, 188, 145, 172, 186, 145, 170, 186, 143, 168, 184, 139, 164, 180, 133, 161, 178, 131, 159, 176, 126, 154, 172, 123, 151, 170, 119, 149, 168, 111, 143, 163, 105, 138, 157, 102, 135, 154,  97, 130, 149,  95, 128, 146,  91, 125, 141,  91, 124, 140,  91, 122, 139,  91, 121, 140,
    89, 119, 138,  92, 120, 139,  88, 116, 133,  86, 115, 132,  85, 114, 131,  83, 111, 128,  81, 109, 126,  80, 108, 125,  78, 106, 123,  77, 106, 121,  76, 104, 119,  73, 101, 116,  74, 101, 116,  70,  97, 111,  67,  93, 107,  64,  90, 104,  63,  90, 103,  61,  88, 102,  62,  88, 100,  60,  87, 101,  59,  86,  99,
    60,  87, 101,  61,  90, 101,  61,  89, 101,  59,  89, 100,  58,  89, 100,  58,  90, 101,  61,  95, 107,  63,  99, 111,  77, 113, 127,  94, 130, 144, 109, 145, 159, 129, 162, 175, 139, 171, 184, 140, 172, 185, 148, 177, 191, 147, 175, 189, 131, 160, 175, 117, 141, 154,  85, 105, 116,  78,  94, 104,  62,  77,  87,
    52,  67,  76,  57,  71,  79,  58,  69,  77,  58,  67,  76,  47,  55,  65,  38,  47,  56,  40,  49,  57,  48,  57,  66,  64,  73,  81,  73,  90,  95, 183, 192, 196, 144, 159, 161, 160, 169, 170, 139, 151, 153, 113, 126, 131,  95, 109, 113, 109, 123, 126, 125, 139, 141, 120, 135, 137, 154, 163, 164, 149, 159, 160,
   140, 151, 152, 124, 136, 137, 141, 150, 152, 143, 152, 154, 130, 142, 142, 111, 124, 125, 137, 148, 149, 107, 121, 123,  96, 112, 113, 117, 129, 131,  84,  98, 101, 105, 116, 120, 100, 113, 117,  90, 102, 109,  86,  98, 105,  67,  81,  90, 100, 111, 118, 134, 144, 149, 153, 162, 165, 121, 133, 139, 100, 115, 119,
    71,  87,  93, 108, 122, 126, 132, 143, 147, 120, 132, 137,  45,  61,  70, 107, 118, 125,  63,  78,  87,  79,  91,  99,  35,  52,  60,  56,  70,  78,  45,  61,  67,  33,  50,  58,  56,  70,  76,  47,  60,  70,  57,  72,  81,  63,  77,  87,  71,  88,  95,  62,  81,  89,  71,  89,  96,  69,  86,  96,  78,  95, 104,
    78,  93, 101,  75,  92, 102,  86, 104, 114,  92, 109, 121,  55,  75,  86,  51,  75,  86,  74,  96, 106,  85, 104, 114,  72,  92, 101,  76,  94, 104,  55,  75,  87,  78,  97, 108,  62,  84,  95,  85, 102, 110,  75,  93, 102,  91, 108, 116, 104, 119, 127,  95, 113, 120,  97, 115, 122,  98, 118, 125,  98, 118, 123,
    84, 104, 111,  85, 106, 113,  79, 100, 107,  93, 110, 119,  75,  94, 103,  61,  83,  93,  85, 105, 114, 127, 144, 152, 103, 125, 134, 120, 141, 149, 110, 133, 143, 100, 129, 141, 126, 150, 161, 135, 159, 170, 129, 154, 166, 140, 163, 175, 154, 173, 182, 138, 161, 171, 131, 155, 166, 151, 171, 180, 156, 174, 183,
   125, 151, 163, 163, 179, 186, 134, 155, 164, 112, 137, 147,  93, 123, 134, 101, 129, 140, 117, 141, 151, 110, 137, 148, 127, 149, 159, 137, 158, 167, 145, 164, 174, 134, 158, 168, 125, 153, 164, 116, 148, 159, 146, 169, 177, 130, 159, 168, 142, 167, 176, 151, 173, 181, 148, 173, 182, 170, 189, 195, 165, 185, 191,
   177, 193, 199, 125, 159, 170, 117, 151, 166, 153, 177, 187, 177, 194, 201, 183, 199, 204, 178, 194, 200, 184, 197, 203, 179, 194, 200, 155, 179, 185, 141, 169, 176, 174, 193, 198, 165, 186, 191, 168, 189, 193, 187, 202, 204, 189, 203, 206, 190, 205, 209, 189, 204, 209, 191, 206, 210, 189, 204, 209, 189, 205, 208,
   193, 207, 210, 181, 200, 204, 191, 206, 211, 199, 213, 216, 189, 205, 211, 192, 209, 213, 174, 197, 203, 194, 210, 214, 197, 213, 216, 187, 206, 211, 201, 214, 217, 205, 219, 220, 207, 219, 221, 208, 220, 223, 209, 222, 222, 205, 219, 220, 207, 221, 223, 204, 220, 221, 205, 221, 223, 214, 226, 227, 220, 231, 231,
   222, 233, 233, 226, 235, 235, 227, 235, 234, 228, 236, 236, 231, 238, 237, 232, 240, 239, 231, 239, 238, 235, 241, 240, 234, 240, 240, 236, 242, 240, 236, 242, 241, 236, 242, 241, 235, 241, 240, 236, 242, 241, 236, 242, 241, 236, 242, 241, 235, 241, 240, 233, 240, 237, 232, 238, 236, 231, 237, 236, 230, 236, 235,
   196, 214, 221, 197, 213, 220, 195, 212, 219, 195, 213, 220, 195, 213, 220, 195, 213, 220, 194, 212, 219, 194, 212, 219, 193, 211, 218, 193, 211, 218, 193, 211, 218, 191, 209, 216, 190, 209, 216, 190, 209, 217, 188, 207, 215, 187, 206, 214, 183, 204, 213, 182, 202, 211, 180, 201, 210, 178, 198, 209, 176, 197, 208,
   173, 196, 207, 174, 195, 206, 172, 194, 205, 170, 192, 204, 170, 192, 204, 169, 191, 202, 167, 190, 202, 169, 191, 203, 168, 190, 202, 167, 190, 202, 167, 189, 201, 167, 189, 201, 166, 188, 200, 163, 186, 198, 162, 185, 197, 159, 182, 196, 158, 181, 196, 157, 181, 196, 156, 180, 194, 153, 178, 192, 153, 178, 190,
   150, 175, 189, 149, 175, 189, 147, 173, 187, 144, 171, 185, 140, 168, 183, 137, 165, 181, 134, 162, 179, 130, 159, 176, 124, 154, 171, 122, 152, 170, 118, 149, 168, 111, 143, 162, 105, 138, 158, 102, 136, 154,  97, 131, 150,  95, 128, 147,  94, 126, 146,  94, 126, 143,  91, 123, 140,  92, 123, 139,  92, 122, 140,
    91, 120, 138,  88, 117, 134,  87, 115, 132,  83, 112, 129,  84, 113, 129,  82, 112, 128,  80, 109, 125,  79, 108, 123,  78, 107, 122,  76, 105, 120,  80, 106, 122,  76, 104, 119,  72,  99, 115,  71,  98, 112,  69,  95, 109,  68,  94, 108,  66,  92, 104,  63,  89, 101,  62,  89, 101,  59,  87,  98,  58,  87,  97,
    59,  86,  97,  59,  87,  97,  58,  87,  97,  57,  87,  98,  55,  86,  97,  56,  88,  99,  58,  91, 103,  64,  99, 112,  75, 111, 125,  96, 133, 147, 121, 155, 169, 132, 165, 178, 143, 173, 187, 143, 176, 188, 142, 176, 190, 145, 175, 190, 142, 167, 181, 114, 142, 155,  87, 107, 118,  69,  86,  97,  49,  67,  77,
    49,  63,  74,  54,  68,  76,  45,  58,  67,  57,  65,  74,  49,  58,  68,  40,  50,  60,  36,  47,  54,  54,  64,  70,  63,  74,  80, 145, 161, 164, 159, 171, 175, 155, 166, 169, 131, 145, 146, 122, 137, 140, 103, 118, 122, 106, 119, 122, 105, 118, 120, 102, 115, 116, 134, 146, 147, 123, 136, 137, 168, 175, 174,
   152, 161, 161, 145, 155, 155, 155, 163, 164, 147, 155, 157, 136, 147, 148, 102, 116, 119,  93, 108, 110, 128, 140, 142,  77,  94,  95,  86, 100, 102,  74,  89,  92,  80,  93,  98, 119, 129, 132,  51,  68,  75,  69,  84,  91,  79,  92, 100, 108, 119, 127, 111, 123, 128, 137, 148, 150,  94, 110, 113, 110, 123, 126,
    74,  90,  94, 137, 148, 152, 127, 138, 142, 101, 115, 121,  62,  76,  84,  79,  91,  99,  87,  97, 105,  49,  63,  73,  63,  77,  84,  31,  48,  56,  54,  68,  75,  75,  86,  93,  71,  83,  90,  74,  87,  95,  59,  72,  82,  58,  74,  83,  61,  78,  86,  69,  85,  93,  75,  91,  98,  64,  83,  90,  74,  91,  98,
    56,  75,  82,  57,  77,  85,  50,  69,  80, 104, 119, 129,  88, 106, 117, 104, 119, 129,  82, 102, 112,  89, 107, 117,  84, 102, 111,  81,  97, 108,  84,  99, 109,  97, 112, 123,  63,  82,  92,  67,  85,  95,  83,  98, 104,  93, 111, 119,  65,  87,  95,  84, 104, 111,  86, 106, 112,  92, 111, 117,  62,  87,  93,
    85, 104, 110, 113, 131, 138,  89, 110, 117,  86, 108, 116,  92, 111, 119,  94, 114, 123, 123, 139, 147, 108, 129, 138, 104, 126, 134, 129, 149, 156, 116, 137, 146, 114, 139, 149, 119, 144, 156,  99, 130, 143,  98, 128, 142, 133, 155, 167, 139, 160, 171, 141, 163, 173, 156, 174, 181, 151, 170, 180, 137, 161, 171,
   165, 181, 189, 112, 142, 154, 132, 156, 166, 129, 154, 162, 137, 158, 165, 113, 138, 149, 110, 136, 148, 111, 136, 146, 117, 140, 151, 122, 144, 154, 124, 150, 161, 129, 154, 165, 133, 160, 170, 133, 160, 168, 109, 143, 153, 132, 158, 167, 132, 159, 168, 158, 178, 185, 137, 163, 172, 130, 159, 170, 171, 189, 195,
   182, 197, 202, 174, 191, 198, 151, 174, 184, 127, 158, 171, 143, 170, 180, 172, 190, 196, 180, 195, 201, 179, 195, 200, 185, 199, 204, 179, 195, 198, 155, 179, 184, 147, 173, 179, 172, 190, 195, 160, 183, 187, 163, 185, 189, 169, 190, 195, 185, 200, 205, 188, 203, 207, 188, 204, 207, 187, 203, 206, 185, 203, 206,
   192, 207, 211, 193, 208, 211, 186, 203, 207, 200, 213, 217, 200, 213, 217, 191, 208, 212, 186, 205, 210, 187, 205, 210, 194, 211, 214, 195, 210, 217, 191, 209, 212, 198, 213, 216, 209, 221, 223, 207, 219, 220, 212, 223, 224, 209, 221, 223, 201, 216, 218, 208, 221, 223, 212, 225, 225, 212, 225, 224, 221, 231, 231,
   223, 232, 232, 226, 233, 233, 226, 234, 234, 227, 235, 235, 229, 237, 236, 232, 238, 237, 235, 241, 240, 233, 239, 238, 233, 239, 239, 236, 242, 241, 235, 241, 240, 235, 241, 241, 235, 241, 239, 235, 242, 239, 234, 241, 238, 234, 241, 240, 235, 241, 240, 236, 241, 240, 232, 238, 237, 231, 237, 236, 231, 237, 236,
   198, 213, 220, 197, 213, 221, 196, 214, 221, 195, 213, 220, 195, 213, 220, 195, 213, 220, 194, 212, 219, 195, 213, 220, 193, 211, 218, 194, 212, 219, 193, 211, 218, 192, 210, 217, 192, 208, 218, 190, 208, 216, 188, 207, 215, 186, 205, 213, 184, 204, 212, 182, 203, 213, 180, 200, 211, 178, 198, 209, 178, 198, 209,
   176, 196, 207, 174, 195, 207, 172, 193, 205, 171, 193, 204, 170, 192, 204, 169, 191, 203, 168, 190, 202, 169, 191, 203, 169, 191, 203, 168, 190, 202, 168, 189, 202, 167, 188, 200, 165, 186, 200, 165, 188, 199, 161, 184, 198, 162, 184, 197, 160, 183, 197, 159, 182, 196, 157, 180, 194, 154, 178, 191, 153, 177, 191,
   150, 176, 190, 148, 174, 188, 145, 171, 185, 141, 168, 183, 140, 166, 182, 136, 164, 179, 134, 161, 178, 127, 156, 173, 122, 151, 168, 118, 149, 168, 113, 145, 164, 107, 140, 159, 105, 139, 158,  99, 134, 152,  97, 133, 150,  97, 129, 148,  97, 129, 148,  95, 127, 143,  95, 125, 142,  91, 122, 138,  90, 121, 136,
    90, 121, 136,  87, 117, 133,  87, 116, 131,  86, 115, 130,  83, 113, 128,  81, 111, 126,  81, 110, 125,  80, 108, 123,  80, 108, 123,  81, 108, 123,  78, 105, 120,  79, 105, 120,  76, 102, 117,  74, 101, 115,  73, 100, 114,  70,  97, 111,  68,  94, 106,  65,  91, 103,  62,  89, 100,  61,  88, 100,  60,  87,  98,
    60,  89,  98,  59,  88,  97,  60,  89,  98,  59,  88,  98,  60,  90, 100,  59,  89, 100,  64,  96, 108,  76, 109, 121,  91, 126, 139, 106, 141, 154, 125, 159, 172, 133, 166, 179, 141, 172, 185, 148, 175, 190, 148, 178, 193, 135, 169, 183, 128, 159, 174, 113, 143, 158,  81, 109, 122,  66,  86,  97,  61,  77,  87,
    60,  72,  81,  57,  70,  78,  57,  69,  77,  53,  62,  71,  48,  57,  67,  45,  55,  64,  40,  51,  58,  60,  71,  77,  77,  94, 100, 179, 188, 191, 159, 171, 173, 138, 152, 154, 129, 142, 144, 119, 133, 135,  98, 113, 115, 112, 124, 126, 103, 115, 115, 119, 129, 129, 131, 142, 141, 144, 152, 152,  98, 112, 111,
   125, 138, 137, 167, 174, 173, 122, 134, 134, 134, 144, 146, 114, 126, 130, 130, 142, 146,  86, 100, 105,  85, 101, 104, 131, 142, 143,  70,  85,  87,  98, 110, 113,  93, 105, 109,  94, 107, 112,  94, 107, 112, 113, 126, 130,  94, 108, 115, 122, 135, 140,  97, 111, 118, 123, 136, 140,  85, 103, 107, 121, 135, 138,
    67,  86,  91,  80,  97, 101,  98, 113, 118,  93, 108, 113,  87,  98, 106,  47,  62,  70,  68,  80,  88,  55,  68,  75,  53,  67,  75,  59,  73,  81,  49,  64,  71,  40,  56,  67,  75,  87,  97,  69,  80,  89,  52,  66,  74,  69,  83,  91,  68,  84,  92,  45,  64,  73,  56,  73,  81,  34,  53,  59,  22,  39,  46,
    31,  50,  57,  42,  61,  68,  44,  63,  72,  64,  79,  90,  62,  78,  90,  53,  75,  87,  70,  91, 100,  79,  98, 107,  70,  91,  99,  72,  91,  99,  60,  77,  85,  48,  69,  77,  50,  68,  75,  50,  68,  76,  63,  81,  87,  70,  90,  97,  93, 112, 119,  83, 103, 110,  68,  90,  95,  59,  82,  88,  61,  83,  88,
    78,  99, 106,  78, 101, 110, 116, 132, 140,  88, 110, 118, 112, 131, 139, 131, 148, 156,  89, 112, 122, 103, 125, 133, 117, 137, 145,  94, 119, 130,  90, 117, 126, 114, 138, 147,  95, 125, 136, 106, 134, 145, 123, 146, 157, 141, 160, 169, 115, 140, 150,  74, 107, 119, 129, 150, 161, 128, 151, 163, 118, 145, 158,
   158, 176, 182, 159, 178, 184, 138, 161, 169, 158, 175, 181, 143, 164, 171, 113, 141, 150, 129, 152, 161, 121, 144, 154, 103, 130, 141, 131, 152, 161, 129, 152, 163, 120, 146, 159, 129, 156, 165, 154, 174, 181, 144, 166, 174, 130, 156, 166, 147, 169, 177, 153, 175, 182, 151, 173, 180, 142, 167, 175, 143, 169, 178,
   153, 177, 185, 169, 188, 194, 163, 184, 191, 168, 187, 194, 143, 171, 180, 144, 172, 180, 161, 183, 189, 161, 182, 189, 182, 198, 203, 190, 204, 207, 178, 195, 199, 152, 176, 182, 158, 181, 186, 175, 192, 196, 156, 180, 186, 173, 191, 196, 170, 190, 194, 169, 189, 195, 184, 200, 204, 180, 198, 203, 185, 202, 205,
   189, 205, 208, 185, 203, 206, 188, 205, 208, 180, 199, 204, 201, 214, 217, 198, 212, 217, 190, 208, 212, 197, 211, 215, 184, 203, 208, 194, 209, 214, 196, 212, 215, 194, 211, 214, 198, 213, 216, 208, 221, 223, 202, 216, 218, 213, 224, 226, 208, 221, 223, 203, 218, 220, 211, 225, 225, 213, 225, 225, 217, 227, 227,
   223, 232, 232, 225, 233, 233, 226, 234, 234, 226, 234, 234, 228, 236, 235, 229, 237, 236, 233, 238, 238, 234, 240, 239, 234, 240, 239, 234, 240, 240, 235, 241, 240, 235, 241, 240, 236, 241, 240, 234, 240, 238, 236, 241, 240, 234, 240, 239, 235, 241, 240, 234, 239, 238, 234, 239, 238, 231, 237, 235, 230, 236, 235,
   198, 214, 220, 197, 215, 221, 196, 214, 220, 195, 213, 220, 196, 214, 221, 195, 213, 220, 195, 213, 220, 195, 213, 220, 194, 212, 219, 194, 212, 219, 194, 212, 219, 192, 210, 217, 192, 209, 218, 189, 208, 217, 188, 207, 215, 186, 205, 213, 185, 204, 214, 181, 201, 212, 180, 200, 211, 178, 199, 210, 176, 196, 207,
   175, 196, 207, 173, 194, 205, 172, 194, 205, 171, 193, 204, 171, 192, 203, 170, 192, 203, 169, 191, 203, 168, 190, 202, 169, 190, 202, 169, 191, 203, 167, 188, 200, 169, 188, 201, 167, 188, 200, 166, 188, 200, 165, 186, 200, 161, 183, 198, 158, 181, 195, 157, 180, 195, 156, 180, 194, 155, 180, 192, 150, 176, 190,
   149, 175, 189, 146, 173, 187, 144, 171, 185, 140, 167, 182, 139, 166, 180, 136, 164, 179, 129, 157, 175, 124, 154, 171, 122, 152, 169, 116, 147, 166, 113, 145, 164, 107, 140, 159, 104, 139, 157, 102, 137, 155, 100, 135, 153,  98, 131, 150,  96, 128, 147,  94, 127, 142,  95, 125, 142,  91, 122, 138,  90, 121, 136,
    88, 119, 134,  86, 117, 132,  87, 116, 131,  86, 115, 130,  85, 114, 129,  83, 112, 127,  83, 112, 127,  81, 109, 124,  78, 107, 121,  79, 108, 122,  79, 106, 120,  79, 106, 120,  77, 104, 118,  75, 102, 116,  74, 101, 115,  71,  98, 112,  68,  94, 108,  66,  91, 103,  63,  90, 101,  61,  88, 100,  60,  87,  98,
    60,  87,  98,  62,  90,  99,  60,  89,  98,  60,  90,  99,  60,  90,  99,  65,  95, 106,  76, 107, 118,  86, 118, 129,  96, 131, 144, 110, 144, 158, 126, 158, 172, 135, 167, 180, 143, 173, 187, 145, 174, 188, 145, 173, 188, 136, 168, 182, 130, 162, 176, 117, 146, 161,  85, 115, 128,  69,  91, 103,  57,  74,  85,
    52,  67,  75,  48,  62,  70,  43,  57,  65,  56,  66,  74,  62,  71,  78,  56,  66,  72,  60,  71,  77,  61,  73,  78, 146, 160, 165, 173, 184, 186, 158, 170, 172, 153, 163, 163, 157, 164, 164,  85, 100, 102, 127, 137, 137, 108, 119, 119, 100, 112, 111,  99, 108, 108, 145, 152, 151, 146, 154, 154, 123, 134, 134,
   158, 165, 164, 128, 141, 140, 150, 159, 159, 122, 134, 136, 112, 124, 128, 113, 125, 129, 105, 116, 121,  67,  82,  84,  83,  96,  99,  91, 101, 107,  74,  89,  96,  51,  70,  76,  84,  99, 105,  90, 104, 110,  70,  86,  91, 109, 123, 128,  97, 114, 120, 125, 139, 144, 102, 120, 126,  91, 108, 113,  73,  92,  97,
    77,  95,  99,  87, 104, 108,  83, 100, 104,  87, 103, 108,  66,  82,  89,  64,  80,  87,  58,  75,  81,  49,  65,  71,  31,  49,  56,  58,  73,  80,  60,  74,  82,  87,  98, 106,  55,  68,  79,  60,  72,  82,  55,  67,  76,  56,  72,  80,  53,  69,  78,  52,  69,  77,  63,  79,  85,  61,  77,  83,  51,  69,  75,
    54,  70,  76,  62,  78,  84,  44,  61,  70,  39,  57,  67,  46,  65,  76,  52,  71,  83,  35,  52,  60,  64,  84,  93,  64,  85,  94,  71,  91,  99,  70,  89,  96,  39,  62,  69,  64,  81,  87,  67,  83,  88,  71,  88,  94,  70,  89,  95,  76,  97, 105,  94, 113, 119,  74,  95, 101, 106, 123, 128, 114, 130, 136,
    87, 106, 113,  93, 111, 120,  76,  97, 108,  86, 106, 117,  96, 118, 127, 123, 141, 149, 124, 141, 148,  48,  77,  88, 110, 132, 140, 124, 143, 150, 108, 133, 140, 129, 150, 157, 105, 129, 138, 132, 151, 160, 129, 149, 157, 142, 161, 168, 145, 164, 169, 133, 153, 159, 137, 155, 165, 144, 161, 170, 130, 151, 163,
   120, 147, 157, 136, 159, 167, 143, 163, 171, 124, 151, 160, 138, 161, 169, 120, 149, 158, 125, 149, 158, 123, 147, 156, 138, 158, 165, 117, 142, 151, 137, 158, 167, 142, 163, 169, 148, 170, 175, 133, 158, 167, 127, 153, 163, 146, 167, 176, 142, 165, 174, 155, 176, 184, 161, 181, 188, 161, 182, 190, 139, 168, 177,
   160, 182, 189, 173, 190, 197, 165, 185, 193, 166, 187, 192, 166, 187, 193, 160, 182, 189, 158, 180, 188, 170, 188, 194, 175, 193, 199, 186, 203, 207, 193, 206, 210, 179, 195, 199, 163, 184, 189, 168, 187, 194, 179, 195, 199, 159, 181, 188, 164, 185, 191, 172, 190, 196, 171, 190, 196, 171, 191, 196, 180, 198, 202,
   188, 204, 207, 181, 200, 204, 195, 210, 212, 179, 199, 203, 186, 203, 208, 194, 209, 212, 199, 212, 215, 190, 207, 212, 195, 210, 215, 182, 202, 207, 195, 210, 213, 198, 213, 215, 197, 212, 215, 198, 213, 216, 209, 221, 223, 207, 220, 221, 208, 221, 222, 208, 220, 222, 205, 220, 220, 212, 224, 225, 217, 228, 228,
   220, 230, 230, 225, 233, 233, 227, 235, 235, 224, 233, 233, 227, 235, 235, 227, 235, 235, 231, 237, 236, 230, 237, 237, 233, 239, 238, 234, 240, 239, 231, 239, 238, 234, 240, 239, 235, 241, 240, 234, 240, 239, 235, 240, 239, 234, 240, 239, 234, 240, 239, 234, 240, 239, 233, 239, 238, 232, 237, 236, 231, 237, 236,
   199, 215, 221, 198, 215, 221, 197, 215, 220, 198, 215, 221, 196, 215, 221, 197, 214, 221, 196, 214, 221, 195, 213, 220, 195, 213, 220, 195, 213, 220, 194, 211, 218, 193, 211, 218, 192, 210, 217, 190, 208, 217, 189, 208, 216, 186, 205, 213, 184, 204, 212, 182, 201, 213, 180, 200, 211, 179, 199, 210, 174, 196, 207,
   174, 196, 207, 174, 195, 205, 173, 194, 205, 172, 193, 204, 173, 194, 204, 173, 193, 206, 172, 192, 205, 170, 192, 203, 169, 191, 203, 169, 190, 203, 169, 190, 202, 169, 189, 202, 168, 189, 201, 165, 186, 202, 164, 185, 201, 160, 184, 196, 157, 182, 194, 156, 181, 193, 154, 180, 192, 152, 178, 190, 151, 176, 191,
   149, 175, 189, 149, 175, 188, 146, 172, 186, 143, 169, 183, 139, 166, 180, 135, 164, 179, 130, 160, 175, 126, 155, 173, 119, 151, 167, 117, 148, 166, 110, 142, 161, 109, 142, 161, 108, 141, 160, 108, 141, 160, 102, 136, 155, 103, 137, 152, 101, 132, 148,  98, 128, 145,  96, 126, 143,  92, 122, 139,  91, 122, 137,
    88, 119, 134,  86, 117, 132,  86, 115, 130,  84, 114, 129,  83, 114, 129,  84, 113, 128,  82, 111, 126,  80, 110, 123,  80, 109, 123,  77, 106, 120,  80, 107, 121,  79, 106, 120,  76, 103, 117,  78, 105, 119,  74, 101, 115,  71,  98, 112,  70,  97, 110,  65,  92, 104,  65,  90, 102,  62,  88, 100,  62,  88, 100,
    60,  87,  99,  63,  89, 101,  62,  91, 101,  63,  92, 101,  63,  93, 103,  67,  96, 107,  71, 102, 113,  78, 111, 123,  89, 123, 136, 105, 140, 154, 120, 154, 168, 131, 164, 179, 143, 173, 187, 143, 173, 188, 147, 175, 189, 142, 172, 185, 131, 162, 176, 112, 143, 158, 100, 128, 141,  77,  98, 109,  60,  78,  88,
    61,  75,  82,  56,  70,  76,  58,  70,  77,  46,  60,  68,  56,  67,  76,  61,  71,  79,  67,  77,  83,  80,  98, 105, 173, 187, 192, 156, 171, 174, 152, 166, 165, 152, 163, 163, 149, 155, 155, 104, 113, 113, 125, 131, 132,  93, 102, 102, 110, 117, 117, 117, 125, 124, 146, 153, 152, 142, 150, 149, 148, 156, 155,
   163, 170, 169, 133, 142, 141, 133, 145, 145, 125, 136, 137, 104, 117, 119,  79,  91,  94,  68,  79,  82,  89, 101, 103,  83,  94,  97,  74,  86,  92, 103, 113, 119, 113, 125, 131, 103, 117, 122,  96, 111, 117,  90, 105, 109,  91, 107, 113, 120, 135, 140, 115, 132, 138, 133, 147, 152,  66,  87,  95,  86, 104, 109,
   103, 118, 122,  71,  91,  96,  65,  85,  88, 104, 118, 121,  57,  75,  82,  66,  83,  90,  63,  79,  85,  72,  86,  91,  25,  45,  52,  45,  61,  68,  54,  71,  77,  43,  59,  69,  33,  49,  59,  39,  54,  63,  53,  67,  76,  60,  72,  80,  53,  67,  75,  51,  66,  74,  20,  41,  49,  29,  48,  56,  47,  64,  71,
    53,  70,  78,  57,  71,  78,  92, 106, 111, 114, 127, 134,  90, 107, 116,  83, 100, 108,  80, 100, 108,  74,  94, 101,  80,  99, 106,  64,  86,  94,  62,  82,  90,  76,  95, 101,  89, 105, 110, 103, 116, 122,  67,  84,  90,  65,  84,  90,  95, 111, 117,  71,  90,  97,  90, 109, 117, 102, 120, 126,  99, 117, 123,
    79,  99, 107,  88, 106, 116,  98, 115, 124,  95, 113, 123,  72,  94, 103,  77,  98, 108, 112, 130, 140, 121, 138, 147, 105, 126, 135, 116, 138, 145, 116, 140, 148,  95, 121, 130,  87, 113, 122,  75, 102, 113,  78, 104, 114, 125, 145, 152, 129, 149, 155, 164, 177, 182, 140, 158, 165, 141, 160, 168, 122, 144, 154,
   143, 161, 169, 139, 158, 166, 124, 148, 156, 145, 166, 173, 148, 169, 175, 134, 157, 166, 129, 155, 162, 141, 161, 167, 131, 154, 161, 113, 140, 148, 130, 154, 161, 134, 157, 164, 122, 149, 158, 135, 159, 166, 124, 151, 161, 127, 155, 164, 123, 152, 164, 130, 158, 169, 145, 170, 179, 160, 181, 189, 164, 185, 192,
   156, 179, 187, 152, 176, 186, 172, 190, 197, 167, 187, 193, 163, 184, 190, 162, 183, 190, 154, 178, 185, 163, 184, 190, 153, 178, 184, 177, 193, 198, 188, 203, 206, 187, 202, 205, 182, 196, 201, 165, 185, 192, 173, 190, 196, 177, 194, 198, 166, 186, 191, 159, 182, 188, 167, 187, 193, 169, 189, 195, 175, 194, 199,
   173, 193, 198, 185, 203, 206, 183, 202, 204, 187, 204, 207, 189, 206, 209, 189, 205, 209, 195, 209, 214, 197, 212, 214, 196, 211, 214, 193, 209, 212, 185, 204, 209, 192, 209, 212, 202, 215, 218, 199, 213, 215, 199, 214, 217, 212, 223, 223, 209, 221, 222, 211, 223, 224, 207, 221, 222, 211, 224, 223, 215, 226, 226,
   215, 227, 227, 222, 231, 231, 229, 236, 236, 227, 235, 235, 225, 234, 234, 227, 235, 234, 227, 235, 235, 229, 236, 235, 230, 237, 236, 230, 238, 237, 233, 239, 238, 231, 238, 237, 233, 239, 238, 233, 239, 238, 234, 240, 239, 233, 239, 238, 234, 240, 239, 233, 239, 238, 234, 239, 238, 232, 239, 237, 231, 238, 236,
   200, 216, 222, 199, 215, 221, 198, 215, 220, 199, 215, 222, 200, 216, 223, 199, 215, 221, 199, 215, 222, 197, 214, 221, 198, 214, 221, 198, 213, 220, 196, 213, 220, 195, 212, 219, 193, 211, 218, 190, 208, 216, 189, 208, 216, 186, 205, 213, 184, 204, 212, 183, 202, 213, 180, 200, 211, 179, 199, 210, 179, 198, 209,
   177, 196, 208, 174, 196, 204, 174, 194, 205, 173, 194, 205, 175, 195, 206, 172, 193, 203, 173, 193, 204, 172, 192, 204, 173, 193, 205, 172, 192, 204, 169, 190, 202, 169, 189, 201, 168, 189, 201, 165, 186, 201, 163, 186, 201, 160, 185, 197, 158, 183, 195, 155, 181, 193, 154, 180, 192, 153, 179, 190, 150, 175, 190,
   151, 175, 190, 148, 173, 187, 145, 171, 185, 142, 169, 183, 138, 165, 179, 136, 163, 178, 128, 159, 174, 126, 155, 172, 122, 152, 169, 119, 149, 167, 117, 147, 165, 118, 149, 167, 111, 143, 162, 111, 144, 162, 108, 139, 159, 104, 136, 153, 102, 135, 151,  98, 131, 147, 100, 129, 147,  95, 126, 143,  93, 122, 139,
    89, 119, 135,  88, 119, 134,  85, 116, 131,  87, 116, 131,  87, 116, 131,  85, 114, 129,  85, 114, 129,  85, 113, 127,  83, 111, 125,  79, 108, 122,  80, 107, 121,  80, 107, 121,  80, 107, 121,  76, 102, 118,  75, 102, 116,  71,  98, 112,  71,  97, 109,  69,  95, 107,  66,  92, 104,  63,  90, 101,  64,  90, 102,
    60,  88,  99,  62,  88, 100,  63,  89, 101,  62,  90, 101,  64,  92, 102,  66,  95, 106,  70, 101, 112,  77, 110, 122,  87, 122, 135, 100, 136, 149, 112, 149, 163, 132, 165, 180, 140, 172, 186, 142, 173, 187, 140, 171, 186, 136, 168, 182, 132, 164, 177, 115, 146, 161,  96, 126, 139,  75,  99, 110,  62,  83,  91,
    61,  78,  85,  54,  72,  79,  69,  85,  91,  69,  85,  92,  66,  82,  90,  78,  92, 100,  87, 105, 111, 149, 164, 169, 144, 162, 167, 140, 152, 153,  97, 110, 108,  88,  99,  96,  88,  96,  96,  82,  89,  90,  73,  83,  82,  99, 104, 104, 117, 123, 124, 137, 142, 140, 143, 149, 148, 174, 179, 177, 144, 150, 149,
   154, 161, 161, 137, 141, 139, 150, 158, 158, 122, 132, 135,  67,  80,  83,  80,  91,  94,  78,  89,  93,  99, 108, 111, 107, 117, 121,  97, 107, 112,  97, 110, 115, 106, 118, 125, 119, 133, 139, 139, 152, 157,  98, 115, 120, 129, 144, 148, 139, 152, 156, 108, 125, 131, 114, 131, 139, 106, 121, 127,  73,  92,  99,
   104, 120, 124,  85, 103, 109, 123, 138, 141,  66,  87,  93, 105, 121, 126,  58,  78,  86,  64,  80,  87,  65,  81,  88,  37,  54,  62,  32,  52,  59,  64,  78,  86,  42,  58,  66,  30,  47,  56,  32,  49,  57,   8,  24,  32,  15,  34,  42,  37,  54,  62,  52,  66,  74,  72,  86,  94,  75,  88,  97,  60,  75,  82,
    57,  74,  82,  58,  75,  82,  43,  60,  67,  17,  34,  41,  22,  43,  52,  57,  79,  87,  73,  94, 101,  75,  93, 102,  59,  82,  90,  44,  70,  78,  59,  81,  89,  60,  81,  88,  63,  83,  90,  52,  71,  78,  71,  88,  96,  61,  78,  84,  65,  84,  93,  78,  97, 105, 101, 118, 125,  72,  93, 100,  74,  93, 101,
   102, 119, 126,  82, 101, 109,  60,  84,  91,  99, 118, 124, 101, 120, 127,  90, 111, 120, 116, 133, 143,  98, 119, 128,  64,  84,  92,  73, 100, 109,  93, 117, 124,  96, 119, 127,  95, 119, 126, 109, 133, 140, 141, 157, 164,  99, 123, 130, 118, 137, 144, 129, 148, 154, 130, 151, 157, 119, 141, 147, 112, 137, 146,
   114, 138, 146, 117, 138, 146, 109, 136, 145, 116, 142, 150, 123, 149, 158, 146, 166, 175, 140, 162, 169, 143, 163, 171, 141, 161, 167, 114, 141, 148, 115, 141, 149, 137, 159, 166, 139, 162, 167, 135, 158, 166, 144, 166, 174, 126, 154, 164, 125, 153, 165, 130, 158, 170, 135, 162, 173, 146, 173, 181, 152, 177, 185,
   166, 186, 193, 153, 177, 186, 163, 184, 191, 172, 190, 197, 171, 189, 196, 174, 192, 197, 165, 185, 191, 162, 183, 189, 160, 181, 188, 155, 179, 184, 170, 189, 195, 185, 200, 204, 188, 202, 206, 186, 200, 203, 174, 191, 196, 175, 193, 197, 179, 195, 200, 167, 187, 193, 168, 188, 194, 168, 189, 194, 175, 194, 200,
   179, 197, 199, 177, 196, 199, 185, 202, 205, 191, 207, 209, 176, 196, 202, 189, 206, 209, 185, 203, 207, 198, 212, 215, 199, 213, 216, 199, 214, 217, 186, 205, 208, 189, 207, 211, 195, 211, 214, 203, 216, 218, 204, 217, 219, 207, 219, 221, 214, 225, 224, 211, 223, 223, 213, 224, 225, 212, 225, 225, 214, 226, 226,
   215, 226, 226, 219, 228, 228, 221, 230, 231, 225, 234, 233, 225, 233, 233, 224, 233, 232, 225, 234, 233, 226, 234, 233, 227, 235, 234, 228, 236, 235, 231, 237, 236, 232, 237, 236, 232, 238, 237, 233, 239, 238, 233, 239, 238, 234, 240, 239, 233, 239, 238, 233, 239, 238, 233, 239, 238, 232, 237, 236, 231, 237, 235,
   200, 216, 222, 199, 215, 221, 199, 215, 221, 200, 216, 222, 200, 216, 222, 200, 216, 223, 200, 216, 223, 199, 215, 222, 199, 215, 222, 199, 215, 222, 198, 214, 220, 197, 213, 220, 194, 211, 218, 191, 209, 216, 188, 208, 215, 187, 206, 214, 186, 204, 212, 182, 201, 212, 181, 201, 212, 180, 200, 211, 178, 198, 209,
   177, 197, 209, 177, 197, 207, 176, 196, 207, 175, 195, 206, 174, 195, 206, 174, 194, 205, 174, 194, 205, 173, 193, 204, 173, 193, 204, 173, 193, 204, 173, 191, 205, 168, 190, 202, 168, 190, 202, 165, 188, 200, 164, 187, 200, 161, 185, 198, 159, 184, 196, 156, 181, 193, 154, 180, 192, 152, 178, 190, 151, 177, 190,
   150, 175, 189, 148, 173, 187, 148, 173, 187, 142, 169, 183, 138, 165, 181, 134, 164, 179, 130, 159, 174, 129, 157, 174, 123, 153, 170, 124, 152, 169, 123, 152, 169, 119, 148, 166, 119, 149, 166, 114, 145, 163, 110, 142, 160, 107, 139, 156, 105, 136, 153, 100, 133, 149,  99, 131, 150,  99, 129, 148,  96, 126, 143,
    93, 125, 140,  94, 122, 137,  92, 120, 135,  90, 119, 134,  89, 118, 133,  88, 117, 132,  90, 116, 131,  86, 114, 128,  83, 111, 125,  82, 110, 124,  82, 109, 122,  80, 106, 122,  78, 104, 120,  77, 104, 118,  74, 101, 115,  74, 100, 114,  71,  97, 111,  70,  96, 110,  66,  92, 106,  66,  93, 104,  64,  90, 102,
    64,  90, 102,  61,  87,  99,  61,  88, 100,  64,  91, 102,  64,  94, 103,  66,  97, 106,  70, 102, 112,  73, 108, 120,  84, 120, 133,  94, 132, 145, 111, 148, 163, 129, 163, 178, 140, 172, 186, 143, 174, 188, 144, 175, 188, 138, 169, 183, 134, 165, 179, 123, 155, 169, 107, 136, 150,  85, 114, 124,  74,  96, 102,
    72,  90,  96,  70,  88,  93,  90, 106, 113, 100, 117, 123,  91, 109, 116,  92, 111, 118,  92, 110, 117, 133, 147, 152,  93, 109, 112,  79,  90,  90,  81,  89,  89, 117, 122, 123,  71,  78,  81,  56,  65,  67,  56,  64,  66,  67,  74,  74, 108, 113, 113, 109, 113, 112, 121, 127, 125,  98, 106, 104, 131, 138, 137,
   142, 150, 150, 164, 170, 171, 128, 138, 138,  97, 108, 110,  57,  71,  74,  92, 102, 105,  67,  80,  83, 105, 114, 117,  85,  96, 101, 112, 121, 127, 118, 127, 132,  94, 108, 115, 119, 135, 141,  88, 109, 116,  61,  83,  90, 110, 128, 135, 132, 147, 153, 122, 137, 146, 121, 136, 145, 107, 123, 130,  89, 107, 114,
    73,  93,  99,  99, 115, 122, 106, 123, 130, 111, 125, 133,  72,  91, 100,  81,  98, 106,  73,  89,  97,  78,  93,  99,  82,  96, 101,  46,  64,  71,  59,  74,  80,  53,  67,  75,  34,  45,  54,  67,  77,  84,  85,  97, 103,  68,  79,  85,  50,  61,  68,  44,  57,  64,  69,  83,  92,  58,  73,  82,  63,  80,  89,
    66,  83,  92,  64,  83,  90,  38,  61,  69,  57,  77,  84,  55,  76,  83,  60,  81,  90,  72,  92,  99,  74,  97, 105,  86, 105, 111,  95, 112, 119,  78,  97, 103,  82, 100, 106,  68,  88,  95,  80,  96, 102,  97, 112, 119, 107, 120, 127,  68,  83,  92,  74,  90,  98,  78, 100, 107,  96, 115, 122, 100, 118, 126,
   119, 135, 142, 106, 123, 129, 115, 130, 137, 100, 119, 124,  71,  94,  99,  84, 106, 115, 111, 130, 139, 101, 122, 131, 127, 144, 152, 104, 125, 133, 100, 121, 128,  86, 111, 118, 108, 131, 138,  78, 105, 114,  99, 123, 131, 110, 132, 139,  79, 106, 113,  95, 119, 127, 133, 153, 158, 147, 164, 169, 143, 161, 165,
   158, 172, 176, 126, 148, 154, 118, 142, 148, 134, 155, 162, 138, 159, 166, 140, 161, 169, 145, 165, 173, 133, 156, 164, 122, 149, 154, 150, 168, 173, 126, 150, 157, 107, 137, 144, 139, 161, 167, 139, 161, 168, 140, 164, 172, 150, 172, 180, 125, 155, 166, 140, 164, 173, 152, 173, 181, 146, 172, 180, 143, 170, 178,
   164, 185, 192, 161, 182, 190, 158, 180, 188, 157, 180, 187, 168, 188, 193, 169, 188, 193, 163, 184, 189, 162, 182, 189, 174, 191, 197, 143, 170, 178, 167, 185, 191, 172, 190, 195, 173, 191, 196, 176, 193, 199, 187, 200, 203, 176, 192, 197, 184, 199, 202, 175, 193, 199, 169, 189, 194, 163, 185, 191, 165, 187, 193,
   170, 190, 195, 178, 197, 201, 179, 197, 200, 196, 209, 213, 190, 205, 210, 180, 200, 203, 184, 202, 206, 173, 197, 201, 188, 206, 210, 197, 213, 215, 198, 213, 216, 193, 210, 214, 195, 212, 215, 202, 216, 218, 201, 216, 218, 202, 216, 218, 208, 221, 221, 211, 223, 223, 211, 223, 223, 213, 225, 225, 215, 227, 227,
   214, 226, 226, 216, 227, 227, 220, 230, 229, 222, 231, 231, 224, 232, 231, 222, 232, 231, 224, 232, 231, 224, 232, 231, 225, 233, 232, 227, 235, 234, 230, 236, 235, 230, 237, 236, 231, 237, 236, 232, 238, 237, 232, 238, 237, 231, 237, 236, 232, 238, 237, 232, 238, 236, 232, 238, 237, 232, 237, 237, 231, 237, 236,
   202, 217, 223, 201, 217, 223, 202, 217, 223, 200, 216, 222, 200, 216, 222, 201, 217, 223, 200, 216, 222, 199, 216, 221, 200, 215, 220, 199, 215, 221, 199, 215, 221, 196, 212, 219, 192, 211, 218, 192, 210, 217, 188, 207, 215, 187, 206, 214, 186, 205, 213, 185, 204, 213, 182, 201, 212, 181, 200, 211, 179, 199, 210,
   178, 198, 209, 178, 198, 209, 176, 196, 207, 176, 196, 207, 175, 195, 206, 175, 195, 206, 174, 194, 205, 174, 194, 205, 174, 194, 205, 173, 193, 204, 171, 190, 203, 170, 190, 203, 168, 190, 202, 167, 189, 201, 164, 187, 199, 161, 185, 197, 160, 184, 196, 157, 181, 193, 156, 180, 192, 154, 178, 190, 153, 177, 191,
   149, 174, 188, 148, 173, 187, 144, 169, 185, 138, 165, 181, 137, 164, 180, 136, 163, 178, 132, 161, 176, 132, 161, 176, 128, 157, 172, 130, 157, 173, 127, 155, 172, 122, 151, 168, 120, 149, 166, 114, 144, 162, 113, 143, 160, 110, 141, 158, 103, 136, 152, 104, 135, 154, 103, 133, 152, 101, 131, 150,  99, 129, 146,
    98, 127, 143,  96, 125, 140,  94, 123, 138,  94, 123, 138,  93, 122, 137,  94, 122, 136,  91, 117, 133,  88, 115, 130,  85, 113, 127,  82, 110, 124,  80, 107, 121,  78, 104, 120,  79, 104, 121,  76, 103, 117,  73, 100, 114,  74, 100, 114,  71,  97, 112,  70,  96, 109,  68,  94, 107,  65,  92, 103,  63,  91, 102,
    60,  88,  99,  61,  87,  99,  61,  88,  99,  60,  88,  99,  64,  93, 104,  65,  95, 106,  69, 102, 113,  72, 107, 120,  78, 115, 129,  94, 131, 146, 115, 150, 166, 132, 165, 181, 142, 173, 188, 145, 175, 189, 142, 174, 187, 142, 173, 187, 143, 173, 186, 145, 170, 182, 129, 156, 168, 104, 136, 147,  86, 109, 115,
    72,  91,  98,  78,  97, 103,  91, 111, 117,  87, 108, 114, 102, 121, 128, 100, 119, 126,  93, 112, 119, 107, 122, 128,  64,  74,  74,  83,  91,  91,  72,  79,  79,  85,  92,  92, 105, 109, 112,  80,  87,  87,  53,  61,  62,  64,  69,  70,  70,  74,  74,  80,  85,  82,  54,  60,  58, 116, 122, 120, 101, 109, 108,
   147, 152, 152, 138, 146, 147, 123, 132, 134,  83,  95,  97,  69,  82,  85,  63,  75,  78,  78,  91,  94,  69,  82,  87, 108, 119, 124, 100, 114, 120,  94, 109, 116, 103, 120, 126, 118, 134, 140, 128, 144, 149, 142, 157, 161, 133, 150, 155, 122, 141, 148, 132, 148, 156, 114, 132, 140, 126, 140, 148,  84, 105, 113,
    77,  99, 107,  99, 118, 126,  97, 116, 125, 104, 125, 133, 134, 150, 158,  61,  83,  93,  58,  75,  83,  50,  71,  78,  62,  81,  88,  72,  88,  95,  82,  93, 101,  56,  71,  81,  50,  61,  69,  37,  51,  59,  21,  39,  46,  18,  37,  45,  36,  49,  56,  29,  46,  54,  70,  83,  92,  90, 105, 114,  81, 100, 109,
    77,  95, 103,  84, 100, 108,  75,  94, 100,  60,  79,  85,  49,  67,  75,  29,  51,  61,  33,  55,  64,  59,  78,  85,  71,  89,  96,  71,  89,  96,  68,  85,  91,  83,  98, 104,  72,  86,  92,  50,  70,  77,  60,  78,  86,  74,  90,  98,  96, 108, 116,  79,  95, 103,  52,  76,  84,  56,  81,  89,  69,  93, 101,
    82, 101, 109,  74,  96, 102,  69,  91,  97,  92, 111, 116, 104, 124, 130,  80, 104, 113,  84, 107, 116, 116, 134, 143, 115, 134, 141, 107, 128, 136, 116, 136, 142,  89, 112, 121,  83, 108, 117, 119, 139, 147, 105, 128, 135,  96, 121, 127, 111, 131, 138,  90, 113, 121, 115, 135, 142, 107, 130, 137, 106, 131, 137,
   101, 128, 134, 126, 148, 153, 138, 158, 163, 146, 164, 169, 147, 164, 170, 142, 160, 168, 115, 140, 151, 129, 153, 161, 149, 168, 174, 120, 147, 153, 122, 148, 154, 137, 160, 165, 148, 167, 173, 134, 159, 165, 156, 175, 181, 149, 172, 179, 159, 179, 186, 138, 164, 171, 148, 172, 178, 156, 178, 184, 163, 183, 190,
   163, 183, 190, 164, 184, 192, 155, 178, 186, 139, 168, 177, 168, 188, 193, 154, 177, 183, 162, 183, 188, 167, 186, 192, 151, 175, 183, 163, 183, 190, 147, 172, 179, 161, 181, 188, 180, 195, 200, 163, 184, 189, 168, 187, 192, 170, 189, 192, 186, 200, 202, 183, 198, 201, 173, 191, 196, 177, 194, 199, 167, 188, 193,
   170, 191, 196, 170, 192, 196, 180, 198, 202, 183, 201, 205, 191, 206, 209, 191, 206, 209, 189, 205, 209, 185, 203, 209, 172, 196, 201, 184, 203, 207, 198, 213, 216, 197, 213, 216, 195, 212, 214, 196, 212, 214, 209, 221, 223, 204, 217, 219, 207, 220, 222, 208, 220, 222, 210, 222, 221, 213, 225, 225, 215, 227, 227,
   218, 228, 228, 216, 226, 226, 216, 227, 226, 220, 229, 229, 223, 231, 230, 224, 232, 231, 225, 232, 231, 221, 229, 228, 223, 231, 230, 226, 234, 233, 226, 234, 233, 228, 234, 233, 230, 237, 236, 230, 236, 235, 232, 238, 237, 232, 238, 237, 230, 236, 236, 232, 238, 236, 231, 237, 235, 230, 237, 234, 230, 237, 234,
   203, 217, 223, 203, 218, 224, 202, 217, 223, 202, 216, 222, 202, 217, 223, 201, 216, 222, 200, 216, 222, 200, 216, 222, 199, 215, 222, 199, 215, 222, 198, 214, 221, 196, 212, 219, 193, 211, 218, 192, 210, 217, 189, 208, 215, 188, 207, 215, 186, 205, 213, 186, 204, 213, 184, 202, 212, 184, 202, 212, 181, 200, 210,
   180, 200, 209, 178, 198, 209, 177, 197, 208, 176, 196, 207, 177, 197, 208, 176, 196, 207, 175, 195, 206, 175, 195, 206, 174, 194, 205, 174, 194, 205, 173, 193, 204, 171, 192, 202, 171, 190, 203, 166, 188, 199, 165, 187, 199, 165, 187, 198, 162, 185, 196, 160, 183, 195, 157, 180, 192, 152, 177, 190, 151, 176, 190,
   149, 175, 188, 145, 171, 186, 142, 168, 183, 141, 167, 183, 136, 164, 180, 137, 164, 179, 133, 161, 177, 134, 161, 177, 130, 158, 174, 127, 157, 171, 126, 154, 169, 122, 151, 168, 117, 147, 164, 113, 143, 160, 108, 140, 156, 109, 139, 156, 110, 140, 157, 107, 138, 156, 108, 138, 156, 104, 134, 152, 103, 132, 150,
   100, 129, 147,  99, 128, 144,  98, 127, 142,  97, 126, 141,  94, 123, 138,  92, 120, 135,  93, 119, 135,  88, 115, 131,  84, 112, 127,  85, 112, 126,  80, 107, 122,  77, 103, 119,  75, 102, 117,  75, 102, 117,  74, 100, 114,  73, 100, 114,  71,  98, 112,  70,  97, 111,  68,  95, 109,  65,  92, 105,  63,  91, 102,
    62,  90, 101,  60,  88,  99,  61,  89, 100,  59,  88,  99,  62,  92, 103,  64,  96, 107,  69, 104, 116,  75, 110, 122,  84, 120, 133,  96, 133, 148, 115, 149, 165, 133, 165, 182, 140, 171, 187, 142, 174, 187, 140, 173, 186, 140, 172, 185, 148, 177, 189, 146, 174, 186, 135, 168, 181, 130, 158, 171, 116, 137, 146,
    98, 118, 125,  89, 109, 116,  91, 111, 117,  96, 115, 122, 105, 123, 130, 105, 123, 129, 100, 119, 125,  88, 106, 111,  38,  47,  46,  38,  46,  46,  55,  61,  61,  63,  69,  70,  61,  66,  67,  25,  30,  30,  30,  32,  32,  39,  41,  41,  29,  34,  33,  42,  46,  45,  53,  58,  56,  66,  74,  73,  91,  98,  97,
   104, 112, 112, 131, 137, 137, 119, 128, 130,  74,  87,  90,  80,  93,  94,  93, 104, 107, 113, 123, 126, 101, 112, 115,  98, 109, 115,  95, 111, 117, 123, 138, 142, 133, 148, 153, 147, 160, 163, 136, 154, 158, 115, 136, 142, 131, 151, 157, 141, 157, 164, 106, 130, 139, 114, 133, 143, 106, 126, 135, 120, 138, 146,
   105, 124, 135,  92, 115, 124, 108, 129, 139,  96, 119, 131, 116, 136, 145, 130, 146, 154,  70,  90,  99,  74,  93, 101,  75,  95, 101,  87, 103, 109,  83, 100, 106,  95, 107, 116,  83,  96, 104,  58,  72,  80,  88, 101, 107,  74,  89,  95,  62,  75,  82,  38,  54,  63,  26,  46,  56,  25,  46,  59,  81,  99, 107,
    75,  94, 102,  71,  90,  96,  48,  69,  76,  65,  83,  90,  92, 105, 111,  72,  85,  93,  72,  88,  95,  33,  49,  57,  52,  67,  73,  52,  68,  73,  51,  66,  73,  34,  52,  59,  62,  78,  85,  87, 100, 106, 101, 114, 121,  91, 104, 112,  72,  88,  97,  46,  66,  74,  88, 102, 110,  99, 117, 125,  72,  91, 100,
    64,  87,  96,  81,  98, 104, 101, 117, 123,  66,  87,  95,  90, 112, 119, 109, 128, 136,  73,  97, 108,  92, 114, 123,  72,  98, 108, 130, 149, 156, 101, 122, 131,  99, 122, 130,  99, 126, 136,  83, 111, 121,  83, 110, 119, 115, 137, 142,  82, 106, 114,  81, 105, 112,  79, 105, 110,  77, 105, 110,  92, 118, 123,
   126, 146, 150, 112, 138, 144, 107, 135, 141, 104, 130, 138, 118, 141, 149, 128, 147, 157, 142, 161, 168, 130, 155, 161, 122, 149, 154, 148, 168, 174, 129, 154, 160, 134, 158, 164, 131, 157, 163, 128, 154, 161, 153, 172, 178, 166, 184, 189, 161, 180, 186, 152, 174, 179, 141, 167, 173, 138, 164, 170, 153, 174, 180,
   165, 184, 189, 165, 185, 191, 176, 193, 198, 170, 188, 193, 166, 187, 191, 172, 190, 194, 157, 179, 184, 166, 186, 191, 172, 190, 195, 155, 177, 184, 151, 174, 181, 147, 171, 178, 151, 175, 182, 168, 186, 192, 162, 182, 187, 163, 183, 187, 172, 189, 193, 182, 197, 201, 188, 201, 204, 178, 195, 200, 174, 193, 198,
   166, 188, 193, 160, 185, 191, 178, 196, 202, 187, 203, 207, 187, 203, 206, 188, 205, 208, 194, 208, 212, 189, 207, 210, 187, 205, 209, 180, 201, 206, 191, 209, 212, 197, 213, 214, 197, 212, 214, 201, 215, 217, 205, 218, 220, 206, 219, 221, 204, 217, 219, 208, 221, 221, 211, 223, 223, 214, 225, 225, 216, 227, 227,
   219, 228, 228, 218, 228, 228, 216, 226, 226, 218, 228, 228, 220, 228, 228, 220, 230, 228, 220, 230, 228, 219, 229, 227, 222, 230, 229, 223, 231, 230, 226, 233, 232, 226, 233, 232, 229, 235, 234, 228, 234, 233, 230, 236, 235, 231, 237, 236, 229, 236, 234, 230, 236, 233, 230, 236, 235, 230, 236, 234, 230, 236, 234,
   203, 217, 223, 203, 218, 224, 202, 217, 223, 202, 217, 223, 201, 217, 223, 202, 217, 223, 200, 216, 222, 200, 216, 222, 199, 215, 222, 198, 214, 222, 198, 214, 221, 194, 212, 219, 194, 212, 219, 192, 210, 217, 190, 209, 216, 188, 207, 215, 187, 206, 214, 186, 204, 213, 185, 204, 212, 183, 202, 210, 184, 203, 211,
   181, 201, 209, 180, 200, 209, 178, 198, 208, 176, 197, 208, 176, 196, 207, 175, 195, 206, 175, 195, 206, 174, 194, 205, 175, 195, 206, 173, 193, 204, 174, 194, 205, 172, 192, 203, 170, 190, 201, 168, 189, 200, 167, 188, 199, 165, 187, 199, 163, 185, 197, 160, 182, 194, 157, 180, 192, 154, 177, 192, 150, 175, 189,
   146, 172, 186, 145, 171, 186, 140, 166, 182, 138, 165, 180, 138, 164, 180, 137, 164, 179, 137, 163, 179, 136, 162, 178, 132, 160, 175, 129, 158, 173, 124, 154, 169, 119, 151, 166, 116, 147, 164, 115, 145, 162, 114, 144, 161, 115, 144, 161, 114, 143, 160, 112, 142, 159, 112, 140, 157, 109, 138, 155, 109, 137, 154,
   106, 135, 152, 104, 132, 149, 102, 130, 147, 102, 131, 146,  99, 126, 142,  96, 122, 138,  91, 118, 134,  90, 117, 133,  83, 112, 127,  82, 111, 126,  80, 106, 122,  77, 104, 120,  76, 103, 118,  75, 102, 116,  73, 100, 114,  75, 102, 116,  73, 100, 114,  70,  97, 111,  69,  95, 109,  64,  91, 105,  63,  90, 103,
    61,  89, 102,  60,  89, 100,  59,  88,  99,  59,  89,  99,  61,  92, 103,  67, 100, 113,  69, 103, 116,  73, 109, 122,  77, 116, 130,  97, 134, 148, 118, 150, 166, 134, 162, 178, 142, 169, 184, 144, 172, 185, 143, 172, 183, 141, 172, 185, 140, 172, 186, 143, 173, 186, 141, 172, 186, 137, 166, 179, 127, 152, 166,
   104, 133, 143,  83, 108, 114,  77, 100, 105,  75,  98, 104, 101, 120, 126, 107, 126, 132,  88, 109, 114,  81, 101, 106,  52,  58,  58,  36,  44,  43,  34,  41,  41,  27,  34,  33,  32,  36,  37,  33,  37,  35,  32,  36,  34,  18,  22,  22,  20,  23,  23,  26,  30,  29,  26,  32,  32,  35,  43,  43,  86,  91,  92,
    73,  79,  81, 120, 126, 127, 104, 113, 115, 125, 133, 134,  99, 110, 111,  85,  97,  98,  65,  80,  83,  96, 108, 111,  54,  70,  75, 109, 124, 129, 114, 129, 134, 111, 129, 133, 132, 152, 156, 151, 166, 170, 173, 184, 188, 122, 142, 149, 130, 149, 158, 155, 168, 174, 128, 148, 156, 131, 149, 157, 133, 150, 158,
   106, 128, 138, 102, 123, 135, 107, 128, 138, 146, 161, 169,  66,  93, 105, 117, 135, 145, 109, 128, 137,  72,  92, 100,  52,  72,  79,  63,  81,  87, 113, 127, 134,  92, 108, 116,  94, 109, 117, 101, 117, 125,  91, 107, 114,  88, 104, 111,  76,  94, 101,  90, 103, 110,  67,  84,  92,  41,  63,  73,  50,  72,  83,
    64,  82,  90,  57,  75,  81,  42,  61,  68,  39,  54,  61,  56,  71,  76,  64,  77,  83,  54,  67,  75,  72,  84,  90,  14,  33,  39,  22,  40,  47,  59,  73,  78,  87,  99, 105,  50,  66,  72,  20,  43,  51,  10,  35,  42,  33,  52,  58,  83,  99, 104,  58,  74,  83,  50,  68,  78,  86, 101, 108,  70,  87,  95,
    96, 109, 116,  91, 109, 116,  93, 109, 116,  92, 110, 117,  55,  81,  92,  67,  93, 104,  84, 106, 117, 112, 131, 141,  90, 113, 124,  97, 120, 129,  94, 117, 126, 142, 158, 164, 115, 139, 147,  92, 118, 128, 137, 155, 162, 116, 139, 145, 107, 130, 136, 115, 135, 141,  81, 106, 114,  99, 122, 129,  95, 120, 125,
    68,  99, 105, 114, 138, 144, 121, 143, 149, 120, 144, 150, 111, 135, 142, 125, 146, 154, 149, 165, 173, 151, 169, 174, 140, 162, 168, 146, 167, 173, 138, 161, 168, 145, 167, 173, 143, 163, 170, 154, 173, 179, 105, 136, 145, 152, 174, 179, 154, 174, 180, 164, 183, 188, 144, 168, 174, 146, 169, 175, 148, 171, 176,
   150, 173, 178, 165, 184, 189, 168, 187, 193, 168, 187, 192, 160, 182, 187, 160, 181, 186, 164, 184, 188, 160, 181, 187, 170, 188, 193, 167, 185, 191, 157, 177, 184, 149, 171, 180, 152, 174, 181, 152, 175, 182, 162, 182, 187, 147, 172, 178, 151, 174, 179, 177, 193, 199, 180, 196, 201, 183, 198, 202, 187, 202, 206,
   176, 194, 199, 168, 190, 195, 172, 192, 198, 182, 199, 204, 185, 203, 206, 190, 206, 209, 198, 211, 215, 197, 211, 214, 192, 208, 211, 187, 206, 209, 186, 206, 209, 195, 212, 213, 198, 213, 215, 197, 213, 215, 202, 215, 218, 209, 221, 221, 202, 216, 218, 205, 218, 219, 211, 223, 224, 212, 224, 224, 215, 226, 226,
   217, 227, 227, 216, 227, 227, 218, 228, 228, 219, 230, 228, 215, 226, 224, 216, 227, 227, 220, 229, 228, 217, 228, 226, 217, 228, 226, 221, 228, 227, 222, 230, 229, 223, 231, 230, 227, 233, 232, 229, 235, 234, 229, 235, 234, 230, 236, 234, 230, 236, 234, 229, 235, 234, 229, 236, 233, 228, 234, 233, 229, 235, 234,
   204, 218, 224, 203, 217, 223, 203, 217, 223, 203, 217, 223, 201, 217, 223, 201, 217, 223, 200, 216, 222, 199, 215, 221, 199, 215, 222, 198, 214, 221, 198, 214, 221, 196, 213, 220, 193, 211, 218, 192, 210, 217, 190, 209, 216, 188, 207, 215, 187, 206, 214, 186, 205, 213, 185, 204, 212, 184, 203, 211, 183, 202, 210,
   180, 200, 208, 179, 200, 208, 178, 198, 209, 177, 197, 208, 176, 196, 207, 176, 196, 207, 175, 195, 206, 174, 194, 205, 174, 194, 205, 174, 194, 205, 174, 194, 205, 172, 192, 203, 171, 191, 202, 169, 189, 200, 166, 187, 198, 166, 187, 198, 163, 185, 197, 159, 182, 194, 156, 179, 192, 152, 176, 191, 149, 174, 188,
   145, 172, 186, 141, 167, 183, 140, 166, 182, 137, 165, 181, 138, 164, 180, 136, 162, 178, 135, 162, 178, 134, 161, 176, 131, 159, 174, 126, 157, 172, 126, 155, 171, 121, 152, 167, 120, 150, 167, 120, 150, 167, 121, 151, 166, 118, 147, 163, 117, 146, 163, 117, 144, 161, 116, 144, 161, 114, 142, 159, 114, 141, 158,
   108, 137, 154, 106, 135, 152, 104, 132, 149, 101, 130, 146,  97, 126, 141,  96, 124, 139,  90, 118, 134,  88, 116, 132,  83, 112, 127,  82, 111, 126,  79, 108, 123,  75, 104, 119,  75, 104, 119,  73, 102, 117,  73, 100, 114,  72,  99, 113,  72,  98, 113,  70,  98, 112,  65,  93, 107,  64,  92, 106,  63,  92, 104,
    63,  91, 103,  63,  90, 104,  61,  89, 103,  61,  90, 104,  65,  96, 109,  66, 100, 113,  67, 102, 115,  78, 114, 127,  92, 127, 141, 103, 138, 152, 114, 148, 162, 127, 157, 171, 132, 161, 175, 133, 163, 176, 138, 167, 179, 139, 169, 182, 143, 173, 187, 145, 174, 187, 147, 175, 188, 137, 167, 181, 134, 163, 177,
   111, 144, 156,  95, 122, 130,  86, 107, 114,  73,  95, 101,  85, 105, 111, 109, 128, 133, 102, 120, 126, 124, 143, 148,  41,  64,  69,  48,  55,  54,  32,  40,  40,  24,  31,  30,  33,  38,  36,  34,  37,  35,  23,  26,  25,  32,  33,  33,  26,  29,  29,  24,  27,  27,  17,  23,  23,  21,  26,  27,  20,  25,  28,
    64,  67,  69,  76,  82,  83,  97, 106, 108, 114, 123, 125, 126, 136, 135,  93, 101, 101,  71,  81,  80,  37,  50,  51,  68,  81,  81, 109, 122, 124, 120, 137, 140, 138, 153, 157, 133, 153, 159, 171, 183, 188, 147, 165, 172, 174, 186, 189, 146, 164, 170, 170, 183, 187, 140, 160, 167, 158, 172, 179,  97, 126, 136,
   153, 168, 175, 115, 137, 147, 102, 127, 137, 113, 134, 145, 140, 156, 164,  92, 116, 127, 108, 130, 139, 109, 130, 139,  98, 118, 124,  55,  76,  81,  53,  73,  79,  49,  73,  79,  48,  69,  76,  62,  84,  90,  63,  82,  89,  87, 103, 109,  68,  85,  92,  67,  82,  90,  53,  71,  78,  81,  98, 106,  78,  96, 105,
    44,  64,  73,  57,  74,  82,  54,  71,  77,  32,  51,  57,  46,  62,  68,  40,  55,  61,  60,  72,  79,  59,  72,  79,  79,  92,  97,  79,  93,  98,  62,  78,  84,  66,  82,  88,  72,  87,  93,  97, 109, 114,  96, 110, 115,  79,  95, 100,  66,  83,  89,  76,  91,  96,  78,  94, 101,  84,  99, 106,  90, 104, 111,
    69,  87,  94,  69,  88,  95,  56,  77,  85,  62,  83,  93,  78, 100, 109,  88, 109, 118,  95, 115, 125,  82, 106, 116,  70,  97, 108,  90, 114, 123,  89, 114, 123,  88, 112, 120,  95, 118, 127, 141, 158, 165,  88, 116, 125,  97, 122, 131,  92, 116, 124,  69,  96, 105,  97, 119, 127, 101, 124, 131,  91, 116, 122,
   102, 126, 133,  80, 110, 117,  80, 109, 117, 125, 147, 151, 127, 150, 155, 122, 144, 151, 131, 152, 158, 163, 177, 182, 151, 171, 176, 143, 165, 171, 160, 178, 184, 156, 175, 180, 160, 177, 182, 144, 166, 172, 163, 179, 185, 141, 165, 171, 162, 180, 184, 135, 161, 168, 168, 185, 189, 150, 172, 178, 141, 167, 173,
   165, 183, 188, 165, 184, 189, 161, 183, 188, 180, 195, 198, 178, 194, 198, 167, 185, 189, 160, 181, 185, 165, 184, 190, 162, 182, 187, 162, 182, 187, 171, 187, 193, 163, 182, 189, 162, 181, 187, 138, 164, 174, 154, 174, 182, 170, 187, 192, 157, 177, 185, 144, 168, 176, 185, 200, 202, 182, 198, 202, 165, 186, 191,
   181, 198, 201, 182, 198, 202, 177, 197, 201, 174, 194, 198, 184, 201, 205, 184, 202, 205, 189, 205, 209, 205, 216, 219, 202, 215, 218, 198, 212, 216, 194, 211, 212, 195, 211, 213, 196, 213, 214, 198, 214, 216, 205, 218, 220, 205, 218, 220, 207, 220, 223, 202, 216, 218, 209, 221, 222, 213, 225, 225, 219, 229, 229,
   215, 226, 226, 215, 226, 226, 217, 227, 227, 217, 227, 227, 218, 228, 228, 214, 226, 224, 212, 225, 223, 218, 228, 226, 219, 228, 226, 219, 227, 226, 221, 229, 227, 222, 230, 229, 222, 230, 229, 226, 233, 232, 228, 234, 233, 227, 233, 231, 228, 234, 232, 229, 236, 233, 229, 236, 233, 229, 234, 233, 228, 234, 233,
   203, 217, 223, 203, 217, 223, 200, 217, 222, 200, 216, 223, 201, 216, 222, 200, 216, 222, 200, 216, 222, 200, 216, 221, 199, 215, 222, 199, 215, 221, 196, 214, 221, 195, 213, 220, 193, 211, 218, 192, 210, 217, 190, 209, 216, 188, 207, 216, 188, 207, 215, 186, 205, 213, 186, 205, 213, 184, 203, 211, 183, 202, 210,
   182, 202, 210, 179, 200, 207, 178, 198, 209, 177, 197, 208, 177, 197, 208, 175, 195, 206, 174, 194, 205, 174, 194, 205, 176, 195, 206, 176, 195, 206, 174, 193, 204, 173, 193, 204, 171, 191, 202, 169, 189, 200, 165, 187, 198, 163, 185, 197, 158, 181, 193, 156, 180, 192, 151, 177, 191, 150, 175, 189, 146, 173, 187,
   144, 172, 186, 142, 169, 183, 140, 167, 182, 138, 165, 180, 137, 164, 180, 135, 163, 179, 134, 163, 178, 133, 161, 176, 132, 160, 175, 131, 158, 174, 127, 157, 172, 126, 155, 170, 128, 155, 172, 126, 154, 170, 125, 152, 169, 123, 151, 168, 122, 150, 167, 120, 148, 166, 121, 149, 164, 121, 147, 163, 118, 144, 160,
   112, 141, 156, 109, 137, 154, 104, 134, 149, 103, 132, 147,  98, 127, 142,  94, 122, 138,  90, 119, 134,  87, 116, 131,  83, 112, 127,  81, 110, 125,  77, 106, 121,  76, 105, 120,  75, 104, 119,  72, 101, 116,  71,  99, 113,  71,  99, 113,  68,  98, 112,  69,  96, 110,  65,  95, 109,  63,  92, 106,  63,  91, 105,
    63,  92, 106,  69,  98, 112,  79, 109, 123,  87, 116, 130,  89, 119, 133,  93, 123, 137, 104, 133, 148, 110, 140, 154, 113, 144, 157, 119, 149, 161, 117, 150, 163, 124, 155, 167, 128, 159, 169, 131, 161, 173, 135, 163, 176, 140, 168, 179, 142, 172, 185, 146, 175, 189, 145, 173, 186, 150, 175, 188, 144, 169, 181,
   134, 159, 172, 119, 144, 156, 100, 122, 134,  87, 105, 115,  86, 105, 115, 100, 119, 127, 124, 142, 148,  96, 120, 126,  77,  98, 104,  44,  60,  63,  30,  39,  40,  21,  27,  27,  10,  13,  11,  35,  38,  36,  29,  32,  31,  23,  26,  26,  20,  22,  22,   6,   8,   8,   0,   0,   2,   6,   8,  11,  14,  16,  19,
    32,  37,  40,  70,  74,  77,  86,  92,  92,  73,  79,  78,  50,  57,  56,  48,  57,  56,  13,  26,  25,   7,  22,  21,  26,  43,  44,  58,  76,  77, 151, 163, 164, 136, 155, 159, 192, 201, 204, 139, 161, 168, 162, 180, 186, 173, 187, 194, 184, 197, 201, 173, 190, 194, 167, 184, 190, 149, 171, 178, 153, 173, 181,
   134, 155, 162, 127, 148, 157, 137, 155, 165, 105, 130, 140, 120, 142, 151, 120, 142, 151, 125, 145, 153, 110, 132, 140, 107, 129, 135, 115, 132, 138,  91, 110, 116,  68,  90,  96,  71,  92,  98,  59,  76,  81,  87, 103, 108,  76,  92,  97,  90, 104, 109,  70,  84,  89,  50,  67,  73,  35,  54,  61,  55,  72,  78,
    73,  90,  97,  70,  86,  93,  72,  87,  94,  83,  96, 101,  61,  76,  81,  51,  67,  73,  32,  49,  56,  58,  71,  78,  56,  71,  78,  77,  91,  97,  65,  82,  87,  74,  88,  94,  67,  82,  88,  62,  81,  86,  51,  71,  77,  56,  77,  82,  76,  94, 100, 110, 125, 130,  70,  87,  94,  64,  82,  89,  54,  74,  83,
    81,  97, 104,  72,  91,  99,  73,  91,  99,  64,  86,  95,  52,  75,  84,  53,  76,  84,  74,  94, 103,  81, 102, 111, 129, 147, 155,  92, 115, 124,  93, 116, 124,  70,  96, 104,  94, 115, 123,  61,  88,  97, 132, 150, 157, 119, 140, 149, 113, 133, 144, 119, 138, 147,  94, 116, 124,  65,  91,  99, 112, 132, 139,
   108, 129, 138, 121, 141, 150, 104, 130, 137,  81, 111, 117,  98, 126, 132, 109, 134, 142, 110, 137, 144, 132, 153, 160, 142, 163, 169, 158, 176, 180, 155, 174, 179, 163, 180, 185, 155, 174, 180, 167, 183, 188, 154, 174, 180, 162, 179, 184, 161, 180, 185, 162, 180, 185, 142, 166, 173, 163, 181, 186, 154, 175, 181,
   153, 175, 181, 146, 171, 176, 167, 185, 190, 163, 184, 188, 178, 193, 196, 184, 198, 200, 172, 187, 192, 142, 166, 174, 149, 172, 179, 170, 187, 193, 160, 179, 186, 163, 181, 188, 162, 180, 187, 160, 179, 187, 148, 171, 179, 150, 172, 181, 168, 185, 192, 150, 173, 181, 146, 173, 178, 178, 194, 198, 179, 195, 199,
   171, 190, 194, 171, 190, 195, 193, 207, 210, 185, 201, 203, 179, 198, 201, 191, 206, 209, 193, 208, 211, 192, 208, 211, 208, 220, 222, 199, 213, 215, 199, 214, 215, 202, 215, 217, 203, 217, 219, 198, 214, 215, 197, 214, 215, 208, 221, 223, 206, 220, 219, 207, 220, 221, 200, 216, 217, 209, 221, 221, 218, 228, 228,
   216, 226, 226, 218, 227, 227, 216, 226, 227, 214, 225, 225, 216, 226, 227, 218, 229, 227, 212, 224, 222, 215, 225, 224, 216, 227, 225, 216, 228, 226, 218, 226, 225, 222, 230, 229, 222, 230, 229, 222, 230, 229, 225, 232, 231, 226, 232, 231, 225, 232, 230, 226, 233, 230, 227, 234, 231, 226, 232, 231, 226, 232, 231,
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   182, 201, 209, 179, 200, 208, 178, 199, 206, 177, 197, 207, 177, 197, 208, 176, 196, 207, 176, 196, 207, 175, 195, 206, 175, 194, 205, 174, 194, 205, 174, 194, 205, 172, 191, 202, 171, 191, 202, 166, 187, 198, 163, 185, 196, 158, 182, 194, 156, 180, 192, 155, 179, 193, 151, 177, 191, 147, 174, 188, 146, 173, 187,
   146, 172, 186, 145, 171, 186, 141, 169, 183, 139, 166, 181, 139, 167, 182, 137, 165, 180, 137, 165, 180, 138, 163, 179, 136, 162, 178, 135, 161, 177, 135, 161, 176, 135, 161, 177, 134, 159, 175, 132, 158, 174, 130, 157, 172, 127, 155, 171, 125, 153, 169, 123, 153, 168, 123, 152, 167, 122, 149, 165, 120, 146, 162,
   117, 144, 159, 110, 139, 154, 107, 136, 151,  98, 128, 144,  95, 124, 139,  90, 119, 134,  88, 117, 132,  86, 115, 130,  82, 111, 126,  79, 108, 123,  76, 106, 121,  75, 104, 119,  74, 103, 117,  70, 100, 114,  72, 100, 114,  72,  99, 113,  70,  97, 111,  67,  95, 109,  69,  97, 111,  72,  99, 113,  79, 105, 119,
    91, 118, 131, 106, 130, 146, 110, 135, 153, 107, 133, 148, 104, 132, 146, 105, 133, 148, 104, 133, 149, 106, 134, 148, 104, 134, 146, 107, 138, 150, 115, 144, 156, 124, 151, 162, 128, 155, 166, 134, 162, 172, 141, 166, 178, 146, 171, 182, 148, 174, 186, 146, 172, 184, 144, 171, 184, 148, 172, 184, 149, 172, 185,
   139, 162, 175, 119, 145, 158, 110, 133, 142, 100, 121, 131, 105, 125, 135, 121, 140, 150, 124, 143, 152, 108, 129, 136,  77,  99, 107,  64,  80,  86,  48,  57,  62,  26,  32,  33,  13,  15,  12,  31,  33,  30,  25,  27,  26,  18,  20,  21,   9,  10,  11,   0,   0,   2,   2,   2,   5,   1,   2,   4,   1,   2,   4,
     3,   3,   5,  39,  41,  43,  12,  14,  15,   0,   1,   0,   1,   6,   4,   3,  15,  13,  19,  31,  31,  47,  59,  59,  96, 108, 109,  98, 114, 115, 135, 150, 153, 162, 177, 180, 154, 172, 177, 195, 204, 207, 180, 192, 197, 155, 177, 181, 177, 191, 195, 176, 191, 196, 182, 195, 200, 187, 199, 203, 176, 191, 196,
   126, 148, 156, 138, 157, 165, 122, 143, 152, 126, 147, 156, 130, 151, 159, 143, 160, 168, 114, 135, 144,  83, 109, 119,  92, 115, 122,  91, 114, 120,  96, 117, 122, 106, 123, 127,  88, 107, 113,  94, 112, 116,  59,  79,  84,  49,  69,  73,  26,  45,  49,  36,  50,  54,  59,  70,  75,  62,  73,  79,  48,  65,  71,
    58,  76,  83,  54,  72,  78,  72,  87,  93,  38,  59,  65,  54,  73,  79,  64,  84,  90,  93, 107, 113,  68,  85,  92,  33,  53,  61,  35,  53,  59,  55,  70,  76,  64,  80,  85,  61,  80,  85,  68,  86,  91, 105, 120, 125,  82,  99, 105,  84, 101, 106,  75,  96, 101,  63,  84,  91,  86, 102, 108,  62,  80,  87,
    38,  61,  70,  66,  86,  95,  86, 102, 110,  87, 104, 111,  69,  88,  94,  85, 101, 107,  70,  91,  97,  73,  95, 101,  71,  93, 102,  93, 114, 124, 103, 124, 131,  88, 111, 117,  83, 106, 113,  78, 101, 109,  61,  87,  97,  85, 108, 119, 101, 122, 133,  99, 121, 132, 104, 124, 132, 112, 132, 138,  71,  98, 105,
   107, 128, 138, 112, 133, 142, 112, 135, 144, 108, 134, 140,  99, 127, 134, 131, 153, 160,  98, 126, 135, 116, 140, 148, 115, 141, 150, 115, 143, 151, 142, 164, 172, 141, 164, 171, 156, 173, 181, 158, 176, 182, 167, 183, 189, 180, 193, 198, 153, 174, 179, 170, 186, 190, 166, 183, 188, 162, 180, 186, 148, 170, 177,
   169, 185, 190, 155, 175, 181, 134, 161, 169, 157, 176, 183, 165, 182, 187, 158, 177, 182, 170, 187, 192, 179, 193, 197, 166, 183, 188, 143, 168, 175, 158, 178, 184, 170, 186, 191, 162, 179, 186, 161, 180, 187, 149, 170, 180, 158, 179, 187, 152, 175, 183, 164, 185, 190, 158, 180, 185, 160, 183, 187, 182, 197, 201,
   176, 194, 197, 181, 198, 201, 175, 195, 198, 190, 205, 208, 188, 204, 207, 188, 205, 207, 191, 207, 210, 196, 211, 215, 197, 213, 215, 210, 222, 224, 205, 218, 220, 201, 215, 217, 204, 218, 220, 209, 221, 222, 197, 214, 215, 199, 215, 215, 207, 220, 220, 209, 222, 221, 206, 220, 219, 204, 218, 217, 213, 224, 224,
   217, 227, 227, 216, 227, 226, 218, 228, 228, 216, 226, 226, 214, 224, 224, 215, 226, 224, 216, 227, 225, 212, 225, 223, 215, 227, 225, 216, 227, 225, 217, 227, 225, 221, 228, 227, 222, 230, 229, 224, 232, 231, 226, 233, 232, 225, 232, 230, 224, 232, 229, 227, 233, 230, 225, 231, 230, 225, 231, 230, 225, 231, 230,
   201, 217, 224, 201, 217, 223, 200, 217, 224, 199, 216, 223, 200, 217, 222, 199, 216, 222, 200, 216, 222, 199, 215, 221, 199, 215, 221, 197, 214, 221, 196, 214, 220, 194, 212, 219, 194, 212, 219, 191, 210, 217, 191, 209, 216, 189, 208, 215, 188, 207, 214, 187, 206, 214, 186, 205, 213, 185, 204, 212, 185, 204, 212,
   184, 203, 211, 181, 201, 209, 180, 200, 208, 180, 200, 208, 176, 197, 206, 177, 197, 207, 176, 196, 207, 177, 196, 206, 175, 195, 206, 175, 195, 206, 171, 191, 202, 170, 191, 202, 166, 187, 199, 164, 185, 197, 161, 183, 195, 157, 181, 193, 155, 179, 191, 152, 178, 191, 150, 176, 190, 148, 174, 188, 149, 175, 189,
   145, 172, 186, 145, 172, 186, 145, 171, 185, 144, 170, 186, 142, 169, 184, 142, 167, 183, 141, 167, 183, 140, 166, 182, 140, 166, 182, 141, 166, 182, 141, 165, 181, 142, 165, 181, 137, 162, 178, 134, 160, 176, 133, 158, 174, 131, 157, 173, 130, 157, 173, 128, 156, 172, 124, 153, 168, 122, 150, 165, 121, 147, 163,
   113, 142, 157, 112, 140, 157, 106, 134, 151, 103, 131, 148, 100, 129, 144,  94, 123, 138,  89, 118, 132,  86, 115, 130,  81, 110, 125,  81, 110, 125,  76, 105, 120,  74, 103, 118,  72, 101, 116,  73, 101, 115,  69,  97, 111,  73, 100, 112,  73, 100, 114,  76, 103, 117,  82, 109, 123,  87, 113, 127,  88, 114, 128,
    94, 121, 135,  99, 125, 142,  92, 120, 137,  85, 115, 130,  82, 112, 126,  79, 110, 125,  78, 110, 123,  75, 108, 119,  75, 109, 120,  82, 117, 127,  88, 122, 134,  94, 128, 140, 111, 142, 153, 125, 154, 165, 133, 161, 173, 138, 166, 177, 142, 169, 179, 137, 166, 175, 143, 169, 177, 149, 172, 182, 151, 173, 184,
   146, 167, 178, 124, 149, 161, 106, 131, 142, 103, 125, 134, 116, 135, 146, 138, 154, 162, 120, 140, 149,  89, 113, 121,  72,  95, 104,  80,  96, 102,  48,  58,  62,  34,  40,  43,  11,  12,  12,  23,  25,  25,  24,  26,  26,  10,  12,  12,  11,  13,  13,   2,   2,   4,   5,   6,   9,   2,   2,   5,   2,   2,   5,
     0,   1,   2,   1,   3,   5,   2,   6,   8,   9,  14,  17,  30,  34,  34,  64,  73,  74,  78,  89,  90,  96, 108, 111, 126, 138, 142, 126, 142, 146, 138, 152, 155, 154, 171, 175, 140, 162, 169, 171, 186, 190, 193, 205, 208, 198, 207, 209, 180, 193, 197, 162, 182, 186, 154, 176, 181, 173, 190, 193, 182, 196, 198,
   166, 182, 186, 169, 182, 187, 152, 170, 175, 146, 165, 168, 116, 140, 147, 120, 143, 152, 132, 151, 159, 116, 137, 145, 123, 143, 149, 123, 143, 148,  98, 117, 122,  60,  84,  89,  48,  73,  81,  68,  89,  95,  99, 117, 123,  78,  92,  96,  45,  60,  63,  56,  68,  70,  39,  52,  56,  32,  47,  54,  47,  60,  67,
    50,  67,  74,  53,  71,  77,  57,  74,  80,  68,  85,  90,  64,  82,  87,  81,  95, 101,  70,  88,  93,  65,  83,  89,  78,  92,  98,  72,  85,  91,  58,  71,  78,  54,  69,  75,  71,  86,  91,  72,  89,  94,  69,  87,  93,  62,  83,  90,  70,  89,  96,  88, 106, 113, 108, 123, 130,  54,  73,  80,  73,  92,  99,
    78,  96, 101,  76,  94, 101,  44,  67,  73,  46,  68,  74,  72,  88,  93,  43,  64,  69,  75,  94, 101,  85, 104, 109,  84, 102, 108,  74,  95, 100,  57,  80,  85,  81, 100, 105,  78,  96, 103,  70,  91,  99,  83, 103, 111,  98, 117, 126,  85, 104, 116,  94, 113, 124, 118, 134, 142,  95, 116, 122,  90, 113, 119,
    83, 108, 116,  98, 122, 130,  85, 112, 121, 110, 134, 142, 104, 131, 139, 119, 144, 151, 122, 146, 155, 124, 146, 155, 116, 140, 148,  71, 104, 117, 108, 137, 146, 122, 147, 156, 141, 162, 170, 146, 167, 174, 152, 171, 178, 161, 179, 185, 178, 192, 196, 142, 166, 171, 155, 175, 180, 180, 193, 197, 152, 172, 178,
   152, 172, 178, 162, 180, 185, 170, 186, 191, 139, 163, 171, 149, 169, 177, 164, 180, 187, 137, 163, 170, 142, 167, 173, 165, 183, 188, 181, 195, 199, 156, 177, 182, 149, 173, 178, 172, 188, 193, 163, 182, 189, 175, 191, 197, 158, 180, 187, 160, 181, 187, 152, 176, 181, 163, 184, 188, 160, 182, 186, 161, 183, 188,
   184, 199, 202, 181, 198, 201, 177, 196, 199, 180, 198, 200, 189, 205, 208, 198, 212, 214, 196, 211, 214, 199, 214, 215, 201, 216, 218, 201, 215, 217, 209, 221, 223, 209, 222, 223, 207, 220, 221, 209, 222, 222, 211, 223, 223, 198, 215, 213, 199, 215, 214, 207, 220, 220, 209, 223, 222, 207, 220, 220, 208, 221, 221,
   215, 226, 225, 217, 228, 226, 217, 228, 226, 219, 229, 227, 217, 227, 225, 214, 225, 223, 213, 225, 223, 217, 228, 226, 214, 225, 223, 215, 226, 224, 215, 227, 225, 216, 227, 225, 219, 226, 226, 220, 228, 227, 224, 231, 230, 225, 231, 230, 225, 232, 230, 225, 232, 229, 225, 232, 230, 224, 230, 229, 225, 231, 230,
   201, 217, 223, 201, 218, 224, 200, 217, 223, 200, 217, 223, 200, 216, 222, 201, 217, 223, 200, 216, 222, 199, 215, 221, 199, 215, 221, 197, 214, 220, 198, 215, 221, 195, 213, 220, 193, 211, 218, 194, 212, 219, 191, 210, 217, 191, 209, 216, 190, 208, 216, 189, 207, 215, 188, 206, 214, 187, 205, 213, 185, 204, 213,
   184, 203, 211, 182, 201, 209, 182, 201, 209, 182, 201, 209, 180, 199, 209, 179, 198, 208, 178, 198, 207, 175, 195, 205, 174, 194, 205, 170, 192, 203, 169, 191, 202, 166, 188, 200, 165, 187, 199, 164, 186, 198, 162, 184, 196, 158, 182, 194, 154, 179, 191, 153, 178, 193, 150, 176, 190, 148, 174, 188, 149, 174, 189,
   147, 174, 188, 148, 174, 188, 148, 174, 188, 146, 172, 187, 146, 173, 187, 143, 170, 184, 145, 171, 184, 145, 171, 185, 144, 169, 183, 143, 168, 184, 141, 165, 181, 142, 167, 182, 136, 162, 178, 134, 160, 176, 133, 159, 175, 134, 160, 176, 131, 157, 173, 130, 157, 172, 127, 155, 170, 121, 150, 165, 116, 146, 161,
   113, 142, 158, 106, 135, 152, 104, 132, 149,  98, 128, 145,  97, 126, 142,  94, 123, 138,  93, 122, 136,  89, 118, 132,  86, 115, 130,  84, 113, 128,  81, 110, 125,  79, 107, 122,  78, 106, 120,  76, 103, 118,  78, 105, 119,  78, 105, 119,  84, 110, 124,  86, 112, 126,  86, 112, 126,  85, 111, 125,  83, 110, 124,
    81, 108, 122,  77, 107, 121,  77, 106, 120,  77, 106, 120,  75, 104, 119,  77, 106, 120,  76, 106, 118,  76, 106, 117,  78, 109, 119,  83, 114, 123,  90, 123, 132,  98, 130, 140, 107, 140, 149, 121, 152, 165, 132, 162, 174, 138, 167, 178, 136, 165, 176, 141, 168, 177, 143, 168, 175, 140, 166, 174, 140, 165, 175,
   136, 159, 171, 130, 154, 166, 116, 143, 154, 116, 139, 148, 137, 157, 166, 138, 159, 166, 110, 134, 144,  87, 111, 119,  84, 105, 112,  56,  77,  83,  45,  56,  61,  40,  49,  52,  18,  19,  20,   8,   9,  10,  29,  31,  32,  15,  17,  17,  20,  22,  23,   2,   5,   8,  14,  16,  18,   2,   3,   8,   0,   2,   5,
     7,   9,  13,   8,  13,  16,  16,  21,  24,  26,  33,  38,  74,  81,  83,  88,  98,  98, 102, 113, 114, 136, 149, 151, 110, 129, 135, 162, 174, 177, 146, 161, 168, 182, 193, 196, 159, 176, 182, 166, 182, 186, 180, 193, 198, 188, 200, 203, 185, 198, 201, 197, 208, 210, 195, 206, 208, 185, 198, 201, 177, 193, 196,
   183, 197, 199, 169, 186, 189, 163, 181, 184, 155, 173, 175, 117, 143, 147, 145, 162, 170, 126, 147, 155, 128, 147, 154,  91, 113, 121,  67,  92,  98,  48,  76,  81,  80, 102, 106, 108, 124, 131,  92, 110, 117,  94, 111, 117, 117, 133, 137, 124, 138, 141,  72,  88,  91,  62,  76,  81,  40,  55,  60,  44,  58,  63,
    30,  47,  53,  26,  46,  53,  44,  61,  68,  38,  58,  64,  45,  65,  71,  52,  70,  77,  74,  91,  96,  62,  80,  86,  47,  66,  72,  42,  58,  66,  42,  57,  65,  56,  70,  76,  51,  67,  74,  45,  63,  69,  48,  64,  73,  72,  86,  94,  74,  88,  95,  43,  64,  71,  45,  66,  73,  78,  95, 101,  78,  96, 103,
    78,  96, 101,  68,  87,  93,  88, 104, 109,  82,  98, 102,  63,  80,  85,  64,  81,  86,  79,  96, 101,  72,  90,  97,  70,  90,  96,  64,  84,  90,  79,  96, 101,  47,  68,  74,  64,  80,  86,  69,  85,  92,  53,  71,  79,  55,  73,  81,  70,  86,  93,  85, 102, 106,  61,  82,  85, 100, 116, 121, 113, 132, 138,
    94, 116, 124,  84, 108, 116, 116, 136, 143,  89, 115, 122, 126, 148, 155, 104, 130, 139, 110, 135, 145, 110, 134, 145, 125, 145, 155, 139, 157, 165,  97, 126, 137,  96, 127, 139, 118, 145, 155, 117, 145, 155, 125, 153, 161, 154, 173, 179, 159, 176, 182, 168, 185, 188, 149, 171, 176, 143, 167, 172, 174, 189, 193,
   132, 158, 165, 151, 171, 178, 143, 166, 174, 162, 179, 186, 157, 176, 183, 145, 167, 175, 170, 186, 191, 151, 172, 178, 131, 160, 166, 142, 168, 174, 162, 181, 186, 167, 185, 190, 134, 162, 169, 148, 173, 180, 154, 177, 185, 175, 191, 197, 173, 190, 195, 159, 179, 185, 152, 176, 180, 168, 187, 193, 162, 183, 189,
   167, 187, 192, 187, 201, 205, 185, 201, 203, 183, 200, 203, 180, 199, 202, 194, 209, 211, 202, 215, 216, 199, 213, 216, 202, 217, 219, 206, 220, 222, 200, 215, 216, 208, 219, 220, 210, 222, 223, 212, 224, 224, 216, 226, 226, 206, 220, 219, 200, 216, 215, 203, 219, 218, 208, 221, 221, 212, 224, 224, 210, 222, 222,
   212, 223, 223, 218, 227, 227, 219, 228, 227, 221, 229, 228, 222, 230, 229, 216, 226, 224, 213, 224, 222, 212, 224, 222, 214, 225, 223, 215, 226, 224, 215, 226, 224, 216, 227, 225, 218, 227, 226, 220, 227, 227, 220, 229, 226, 222, 230, 227, 224, 231, 228, 224, 230, 229, 224, 230, 228, 225, 231, 229, 223, 231, 228,
   204, 219, 225, 203, 219, 225, 202, 218, 224, 201, 217, 224, 200, 216, 222, 200, 216, 222, 200, 216, 222, 199, 216, 221, 200, 216, 222, 199, 215, 221, 199, 215, 220, 197, 214, 220, 196, 213, 220, 195, 213, 220, 194, 212, 219, 193, 211, 218, 192, 210, 217, 192, 209, 217, 190, 208, 215, 190, 208, 215, 188, 206, 214,
   187, 205, 212, 186, 205, 213, 184, 203, 211, 183, 202, 210, 182, 201, 209, 178, 198, 208, 177, 197, 206, 175, 196, 205, 173, 194, 205, 170, 192, 203, 168, 190, 201, 164, 189, 201, 162, 186, 198, 161, 184, 196, 163, 186, 198, 158, 182, 194, 157, 181, 192, 155, 179, 194, 152, 177, 191, 151, 177, 190, 152, 177, 192,
   152, 177, 191, 151, 177, 191, 151, 177, 191, 150, 176, 190, 148, 174, 188, 147, 173, 187, 147, 173, 187, 146, 172, 186, 144, 170, 184, 143, 169, 184, 141, 167, 182, 138, 164, 180, 138, 164, 179, 136, 162, 178, 137, 163, 178, 136, 162, 177, 134, 160, 176, 131, 157, 172, 128, 155, 170, 121, 150, 165, 116, 144, 160,
   112, 141, 158, 107, 137, 154, 104, 133, 150, 100, 130, 147,  95, 125, 140,  92, 121, 136,  89, 118, 132,  87, 116, 130,  84, 113, 127,  83, 112, 127,  84, 113, 128,  87, 113, 129,  90, 116, 130,  93, 119, 133,  97, 123, 137,  98, 123, 136,  95, 121, 135,  93, 118, 132,  89, 114, 129,  87, 112, 126,  87, 113, 126,
    82, 109, 123,  82, 109, 121,  80, 107, 119,  81, 108, 121,  79, 106, 120,  79, 106, 120,  77, 104, 116,  75, 103, 114,  76, 105, 114,  75, 106, 115,  75, 109, 117,  86, 121, 130, 103, 137, 149, 122, 153, 166, 133, 162, 174, 138, 166, 177, 137, 166, 177, 136, 164, 174, 127, 157, 167, 133, 161, 170, 127, 157, 165,
   127, 154, 165, 132, 156, 167, 132, 157, 168, 138, 160, 170, 134, 156, 166, 120, 146, 156, 102, 128, 138,  88, 112, 120,  82, 103, 109,  69,  88,  93,  34,  49,  54,  41,  52,  55,  35,  37,  40,   9,  13,  14,  32,  36,  37,  13,  17,  18,  29,  33,  34,  24,  28,  29,  15,  18,  21,   4,   7,  11,   7,   9,  13,
     9,  13,  17,  16,  21,  25,  59,  64,  67,  77,  86,  91,  90, 101, 104, 111, 121, 122, 143, 152, 153, 129, 144, 147, 158, 171, 174, 109, 132, 139, 159, 173, 177, 147, 165, 170, 182, 194, 198, 173, 187, 192, 180, 193, 197, 172, 188, 193, 196, 206, 209, 198, 210, 211, 195, 207, 209, 183, 199, 201, 197, 209, 211,
   186, 201, 204, 184, 199, 201, 190, 203, 205, 207, 215, 216, 203, 211, 212, 164, 180, 186, 148, 167, 174, 139, 158, 165, 133, 150, 155, 133, 149, 155, 107, 126, 131,  76,  98, 104,  54,  76,  84,  61,  80,  88,  36,  63,  73,  49,  76,  83,  59,  83,  87,  84, 103, 108,  84, 102, 107,  77,  93,  99,  45,  59,  65,
    32,  50,  56,  36,  54,  60,  25,  44,  52,  41,  59,  66,  42,  61,  67,  37,  57,  63,  40,  60,  66,  48,  67,  73,  70,  86,  93,  74,  88,  96,  67,  81,  89,  50,  65,  74,  47,  63,  69,  49,  64,  72,  56,  71,  81,  64,  78,  87,  33,  53,  60,  44,  62,  68,  50,  69,  76,  62,  77,  84,  68,  85,  91,
    61,  80,  86,  54,  73,  79,  64,  82,  87,  73,  90,  93,  90, 105, 108,  63,  80,  84,  32,  54,  60,  89, 101, 107,  58,  76,  82,  72,  87,  93,  72,  88,  93,  71,  86,  92,  50,  69,  75,  55,  72,  80,  63,  79,  86,  54,  72,  78,  49,  70,  74,  64,  84,  87,  82, 100, 103,  68,  88,  92,  55,  80,  85,
    85, 108, 115,  95, 118, 126,  94, 117, 124,  88, 113, 120,  95, 122, 130, 113, 137, 145, 129, 150, 157, 112, 135, 146,  95, 120, 133, 108, 131, 143, 136, 157, 165, 126, 149, 159, 112, 140, 150, 101, 132, 143, 121, 149, 158, 133, 158, 165, 160, 179, 182, 155, 174, 178, 148, 169, 172, 154, 173, 178, 131, 157, 163,
   164, 179, 186, 143, 166, 173, 148, 168, 176, 150, 172, 179, 131, 158, 167, 162, 180, 186, 164, 182, 188, 154, 176, 182, 137, 164, 172, 155, 177, 182, 159, 179, 184, 144, 169, 174, 155, 177, 180, 162, 181, 186, 156, 178, 186, 144, 169, 179, 158, 178, 186, 162, 181, 188, 154, 176, 182, 148, 174, 180, 158, 180, 185,
   164, 185, 190, 169, 189, 192, 181, 199, 202, 190, 204, 207, 189, 205, 206, 187, 204, 206, 201, 214, 217, 202, 216, 218, 208, 220, 221, 212, 224, 225, 212, 224, 224, 207, 220, 220, 212, 224, 224, 213, 224, 224, 218, 229, 227, 212, 224, 224, 200, 216, 215, 204, 218, 217, 205, 217, 220, 208, 220, 223, 214, 225, 225,
   213, 224, 224, 216, 227, 225, 219, 229, 227, 219, 228, 227, 223, 231, 230, 222, 229, 229, 217, 227, 225, 213, 224, 222, 214, 225, 223, 214, 225, 223, 215, 226, 224, 214, 225, 223, 218, 227, 225, 219, 228, 225, 221, 230, 227, 221, 230, 227, 221, 230, 227, 224, 231, 228, 225, 232, 229, 224, 231, 228, 223, 230, 227,
   206, 220, 226, 205, 219, 225, 205, 218, 224, 203, 218, 224, 202, 218, 224, 202, 218, 224, 200, 216, 223, 200, 216, 222, 200, 216, 222, 200, 216, 222, 199, 215, 221, 200, 215, 221, 199, 215, 221, 198, 214, 221, 196, 213, 220, 194, 212, 219, 193, 211, 218, 193, 211, 218, 192, 210, 217, 192, 210, 217, 190, 208, 215,
   189, 207, 214, 186, 205, 213, 184, 203, 211, 183, 202, 210, 182, 201, 209, 178, 197, 209, 177, 196, 207, 173, 194, 205, 171, 193, 204, 168, 190, 201, 168, 190, 201, 167, 189, 201, 167, 189, 201, 165, 187, 199, 164, 186, 198, 159, 184, 196, 158, 183, 195, 155, 181, 194, 156, 180, 193, 155, 179, 192, 155, 178, 193,
   154, 178, 193, 154, 178, 192, 151, 177, 191, 150, 176, 190, 148, 174, 188, 148, 174, 188, 147, 173, 187, 145, 171, 185, 145, 171, 185, 143, 169, 183, 142, 168, 182, 141, 167, 181, 138, 164, 179, 138, 164, 179, 137, 163, 179, 136, 162, 178, 135, 160, 176, 131, 159, 173, 127, 155, 170, 121, 149, 164, 114, 143, 159,
   110, 139, 156, 107, 137, 154, 102, 132, 149, 101, 130, 147,  96, 125, 140,  92, 121, 136,  90, 118, 133,  82, 112, 126,  83, 112, 126,  80, 110, 125,  79, 107, 123,  83, 109, 125,  86, 113, 127,  85, 111, 126,  85, 113, 126,  78, 106, 121,  76, 105, 119,  74, 102, 116,  74, 100, 114,  73, 100, 112,  72,  99, 113,
    72,  98, 112,  72,  98, 112,  73, 101, 112,  72,  99, 113,  72,  99, 113,  70,  98, 109,  70,  98, 109,  70,  99, 109,  68,  99, 107,  68, 100, 109,  71, 105, 114,  86, 120, 129, 107, 138, 152, 121, 152, 165, 134, 162, 175, 136, 163, 177, 130, 161, 175, 129, 160, 171, 127, 158, 165, 121, 153, 162, 123, 152, 162,
   125, 154, 163, 125, 154, 165, 140, 165, 176, 136, 161, 173, 128, 154, 165, 122, 146, 158, 105, 132, 140,  84, 106, 114,  75,  96, 102,  70,  89,  94,  48,  62,  66,  38,  50,  52,  37,  41,  41,   6,  10,  12,  12,  15,  17,  23,  29,  29,  17,  22,  21,  25,  30,  29,  24,  29,  28,   9,  13,  15,   8,  11,  14,
    34,  37,  41,  49,  56,  60,  64,  71,  75,  89,  98, 102,  77,  90,  92, 101, 112, 114, 121, 134, 135, 124, 143, 145, 133, 150, 154, 177, 187, 189, 148, 165, 170, 165, 179, 184, 137, 159, 165, 181, 195, 198, 179, 193, 197, 185, 198, 201, 199, 210, 213, 203, 213, 215, 194, 208, 210, 210, 218, 219, 186, 202, 204,
   212, 220, 222, 205, 214, 216, 180, 197, 199, 143, 170, 175, 175, 191, 195, 169, 186, 191, 162, 180, 185, 162, 179, 184, 146, 162, 167, 119, 139, 145, 117, 136, 143, 106, 125, 132, 100, 118, 125,  94, 112, 119, 102, 121, 128, 105, 124, 131,  94, 114, 120,  80, 100, 106,  66,  88,  94,  83, 101, 107,  72,  90,  96,
    79,  96, 100,  61,  81,  86,  54,  74,  81,  50,  68,  75,  57,  74,  80,  60,  76,  82,  63,  81,  86,  59,  77,  83,  72,  86,  93,  56,  72,  79,  47,  63,  72,  62,  77,  84,  81,  93,  97,  64,  78,  82,  55,  70,  74,  53,  69,  74,  69,  84,  89,  52,  68,  75,  41,  60,  67,  51,  69,  76,  55,  72,  80,
    69,  84,  91,  76,  91,  97,  70,  86,  91,  72,  88,  91,  67,  84,  86,  72,  89,  92,  86, 100, 104,  46,  64,  71,  53,  70,  76,  47,  65,  71,  54,  70,  76,  85,  98, 104,  58,  75,  83,  67,  83,  89,  58,  75,  81,  66,  82,  87,  69,  86,  90,  63,  82,  86,  60,  81,  85,  83, 102, 105,  81, 101, 106,
    85, 106, 112,  81, 106, 113,  89, 113, 119, 100, 123, 129, 102, 128, 133,  84, 112, 119, 108, 133, 141, 141, 159, 167, 148, 164, 172, 106, 131, 143,  86, 119, 131, 131, 153, 162, 138, 159, 166, 146, 166, 172, 134, 157, 165, 119, 147, 155, 123, 151, 156, 148, 168, 172, 150, 170, 174, 136, 159, 164, 146, 167, 172,
   116, 146, 155, 131, 158, 167, 149, 171, 177, 158, 177, 185, 160, 179, 185, 145, 168, 175, 147, 171, 177, 152, 175, 181, 164, 183, 188, 114, 148, 157, 131, 160, 167, 155, 177, 181, 158, 179, 183, 158, 179, 182, 154, 176, 183, 161, 182, 188, 161, 181, 187, 140, 166, 174, 136, 165, 173, 145, 171, 177, 139, 167, 173,
   155, 178, 184, 162, 184, 190, 170, 189, 195, 181, 199, 202, 188, 204, 206, 194, 209, 211, 194, 209, 211, 204, 217, 218, 208, 220, 221, 215, 224, 224, 221, 230, 230, 218, 227, 227, 216, 226, 226, 213, 224, 224, 218, 228, 227, 224, 232, 231, 211, 223, 222, 198, 214, 214, 205, 219, 219, 207, 220, 221, 211, 223, 223,
   217, 228, 226, 216, 227, 225, 217, 228, 226, 219, 228, 227, 220, 230, 227, 221, 229, 228, 220, 228, 227, 216, 226, 225, 218, 226, 225, 219, 227, 226, 216, 226, 224, 218, 227, 226, 217, 226, 223, 217, 226, 223, 219, 228, 225, 220, 229, 226, 223, 231, 228, 224, 231, 228, 224, 231, 228, 224, 231, 229, 225, 232, 229,
   207, 221, 227, 206, 221, 227, 206, 220, 226, 206, 219, 225, 205, 220, 226, 203, 219, 225, 202, 218, 224, 202, 218, 224, 201, 218, 224, 201, 217, 223, 202, 217, 223, 200, 216, 222, 201, 217, 223, 199, 215, 221, 198, 214, 221, 197, 213, 220, 197, 213, 220, 197, 213, 220, 194, 211, 218, 193, 211, 218, 191, 209, 216,
   190, 208, 215, 186, 205, 212, 184, 203, 211, 183, 203, 211, 180, 200, 207, 178, 198, 209, 176, 197, 208, 174, 194, 205, 171, 193, 204, 170, 192, 203, 170, 191, 202, 169, 191, 202, 169, 190, 201, 170, 190, 201, 165, 187, 199, 164, 186, 198, 162, 185, 197, 160, 183, 195, 158, 182, 194, 156, 180, 192, 157, 181, 194,
   154, 179, 194, 153, 178, 193, 152, 176, 191, 150, 176, 190, 148, 175, 187, 147, 174, 187, 148, 174, 188, 147, 172, 187, 145, 172, 186, 145, 171, 184, 144, 170, 184, 142, 168, 182, 138, 165, 180, 137, 164, 179, 138, 165, 180, 134, 161, 176, 132, 160, 174, 125, 155, 170, 121, 151, 166, 118, 148, 163, 113, 142, 159,
   110, 139, 156, 106, 136, 153, 101, 131, 149,  99, 129, 144,  97, 126, 141,  93, 122, 136,  89, 118, 132,  85, 115, 129,  81, 111, 125,  82, 110, 125,  85, 111, 127,  86, 113, 128,  82, 109, 124,  79, 107, 123,  75, 104, 119,  70, 100, 115,  70,  99, 114,  71,  98, 113,  70,  98, 112,  71,  98, 112,  70,  97, 111,
    72,  98, 112,  71,  98, 112,  72,  99, 113,  71,  97, 112,  69,  97, 109,  70,  98, 109,  69,  97, 108,  67,  96, 106,  65,  97, 106,  62,  95, 104,  72, 105, 115,  92, 125, 136, 108, 141, 152, 123, 153, 166, 134, 162, 175, 132, 162, 176, 135, 164, 177, 135, 162, 173, 130, 158, 167, 123, 153, 162, 118, 150, 159,
   132, 159, 168, 147, 169, 179, 155, 175, 185, 148, 170, 180, 131, 156, 167, 105, 135, 147,  93, 116, 127,  81, 103, 111,  73,  92,  97,  49,  72,  76,  69,  81,  84,  44,  54,  54,  19,  25,  23,  31,  34,  34,   4,   8,   8,  25,  30,  29,  18,  24,  23,  23,  29,  27,  23,  29,  28,  44,  50,  49,  33,  38,  38,
    71,  75,  79,  71,  77,  81,  72,  79,  83,  90,  99, 102, 110, 121, 123, 117, 128, 130, 109, 123, 127, 108, 124, 128, 108, 127, 131, 138, 154, 158, 169, 182, 185, 180, 191, 193, 167, 183, 186, 176, 190, 195, 160, 178, 184, 192, 202, 206, 201, 210, 212, 196, 206, 208, 204, 213, 215, 188, 201, 203, 204, 214, 216,
   203, 215, 216, 204, 215, 217, 194, 206, 208, 193, 205, 209, 206, 216, 219, 199, 209, 213, 217, 223, 226, 203, 214, 217, 154, 174, 179, 137, 158, 165, 141, 159, 167, 107, 129, 137,  94, 116, 125,  84, 108, 117,  75,  97, 107,  73,  96, 104,  72,  95, 102,  78, 100, 107,  85, 106, 112,  93, 112, 118,  77,  97, 103,
    97, 114, 118,  98, 115, 118,  75,  95,  98,  55,  77,  82,  55,  75,  81,  68,  86,  91,  53,  73,  78,  58,  74,  80,  50,  68,  75,  65,  80,  87,  69,  83,  90,  54,  70,  77,  45,  63,  67,  57,  72,  75,  43,  60,  62,  51,  68,  70,  54,  69,  73,  72,  85,  90,  76,  90,  96,  48,  65,  72,  59,  75,  82,
    51,  68,  75,  57,  73,  79,  60,  77,  84,  47,  67,  71,  48,  67,  73,  68,  84,  89,  55,  73,  79,  53,  71,  77,  64,  78,  84,  61,  76,  82,  50,  66,  72,  45,  64,  70,  54,  71,  78,  77,  91,  98,  74,  90,  94,  49,  68,  72,  62,  79,  83,  63,  81,  85,  92, 107, 111,  69,  90,  93,  85, 103, 108,
    69,  92,  99,  78, 101, 109,  80, 103, 111,  79, 104, 111, 109, 130, 136, 108, 131, 137,  81, 111, 118, 118, 140, 148, 113, 136, 144, 138, 158, 166, 141, 160, 168, 111, 138, 147, 114, 141, 151, 124, 148, 158, 129, 153, 161, 147, 167, 174, 136, 160, 166, 119, 147, 153, 118, 145, 150, 142, 163, 169, 147, 167, 172,
   156, 175, 181, 144, 167, 174, 150, 171, 178, 148, 170, 177, 155, 176, 182, 154, 176, 182, 154, 176, 182, 158, 178, 184, 160, 180, 185, 152, 175, 180, 148, 171, 177, 154, 175, 180, 142, 168, 172, 148, 171, 175, 161, 182, 186, 163, 183, 188, 147, 174, 180, 167, 187, 192, 144, 171, 177, 135, 165, 172, 154, 178, 185,
   141, 170, 178, 160, 182, 189, 168, 188, 193, 165, 187, 192, 180, 199, 201, 193, 208, 211, 199, 212, 214, 197, 212, 214, 206, 218, 220, 211, 222, 223, 220, 229, 229, 222, 231, 231, 220, 230, 229, 218, 228, 227, 217, 227, 227, 218, 228, 228, 221, 229, 228, 209, 221, 220, 204, 218, 217, 207, 220, 218, 210, 223, 221,
   216, 228, 226, 220, 228, 227, 217, 228, 226, 218, 227, 226, 220, 228, 227, 219, 227, 226, 222, 230, 229, 219, 226, 225, 214, 225, 223, 217, 227, 225, 219, 227, 226, 215, 226, 224, 219, 229, 225, 219, 228, 225, 220, 229, 226, 219, 228, 225, 220, 229, 226, 223, 230, 227, 226, 233, 230, 224, 230, 228, 224, 231, 228,
   208, 221, 227, 208, 221, 227, 207, 221, 227, 206, 220, 226, 205, 220, 226, 206, 220, 226, 204, 219, 225, 205, 220, 226, 205, 219, 225, 205, 219, 225, 204, 219, 225, 201, 217, 223, 201, 217, 223, 200, 216, 222, 199, 215, 221, 199, 215, 220, 198, 214, 221, 197, 213, 220, 196, 212, 219, 194, 211, 218, 191, 209, 216,
   189, 207, 214, 187, 206, 213, 185, 204, 211, 183, 202, 210, 179, 199, 208, 177, 198, 206, 177, 198, 206, 175, 196, 205, 173, 193, 204, 172, 193, 204, 172, 193, 204, 172, 192, 203, 171, 191, 202, 168, 189, 200, 169, 190, 201, 166, 188, 199, 164, 186, 198, 160, 183, 195, 161, 183, 195, 158, 181, 193, 155, 180, 193,
   154, 179, 193, 150, 176, 190, 150, 176, 190, 150, 176, 190, 147, 173, 186, 149, 174, 188, 149, 175, 188, 148, 174, 188, 146, 172, 185, 147, 172, 184, 146, 171, 183, 142, 169, 183, 141, 167, 181, 137, 164, 179, 133, 161, 176, 130, 159, 174, 125, 155, 170, 120, 152, 167, 115, 147, 162, 110, 143, 159, 111, 140, 157,
   107, 137, 154, 104, 134, 152, 100, 130, 147,  97, 127, 143,  95, 125, 140,  91, 121, 136,  86, 117, 132,  85, 114, 129,  85, 114, 129,  88, 115, 129,  88, 115, 129,  86, 113, 127,  78, 107, 121,  76, 106, 119,  70, 100, 114,  71, 101, 116,  71, 100, 115,  72,  99, 115,  72, 100, 113,  72,  99, 113,  72,  98, 112,
    73,  99, 113,  71,  98, 112,  70,  97, 112,  70,  97, 110,  69,  97, 108,  69,  96, 108,  69,  96, 107,  67,  96, 106,  66,  97, 106,  74, 105, 114,  87, 119, 127,  96, 130, 140, 114, 143, 154, 123, 154, 165, 131, 161, 172, 135, 162, 175, 137, 164, 175, 129, 158, 169, 123, 153, 164, 119, 152, 160, 123, 155, 164,
   142, 167, 175, 163, 181, 191, 149, 171, 183, 116, 147, 163, 116, 143, 157, 102, 130, 144,  98, 119, 127,  86, 104, 111,  71,  89,  95,  78,  95, 100,  52,  66,  70,  51,  61,  61,  10,  17,  16,  23,  28,  27,  11,  17,  15,   9,  14,  13,  14,  19,  18,  13,  19,  17,   2,   8,   7,  78,  82,  82,  51,  58,  58,
    75,  80,  84,  98, 104, 108, 106, 114, 119, 112, 120, 123,  55,  71,  74, 103, 115, 118, 103, 116, 120, 126, 140, 145,  92, 110, 117, 150, 163, 166, 140, 158, 162, 165, 180, 184, 139, 160, 164, 195, 203, 206, 167, 181, 186, 141, 161, 166, 136, 158, 164, 165, 181, 186, 202, 211, 211, 180, 195, 197, 186, 200, 202,
   181, 196, 198, 177, 192, 198, 194, 204, 209, 207, 213, 216, 174, 192, 196, 204, 213, 216, 167, 187, 193, 173, 191, 196, 205, 214, 217, 185, 195, 200, 165, 181, 186, 130, 150, 158,  93, 119, 129,  99, 122, 130,  75,  99, 107,  84, 107, 114,  77, 100, 107,  75,  97, 105,  82, 104, 111,  76,  99, 105, 110, 128, 132,
    91, 110, 113,  63,  86,  89,  82, 102, 105,  91, 109, 114,  86, 102, 108,  75,  92,  97,  68,  86,  91,  73,  88,  94,  71,  86,  93,  65,  79,  85,  63,  77,  81,  65,  79,  84,  59,  73,  77,  63,  76,  79,  61,  75,  77,  60,  75,  77,  43,  60,  64,  47,  62,  68,  45,  61,  68,  69,  82,  89,  57,  72,  78,
    47,  64,  70,  33,  52,  59,  40,  59,  65,  48,  66,  72,  57,  73,  79,  54,  69,  75,  60,  75,  82,  53,  68,  75,  38,  57,  63,  40,  59,  64,  61,  76,  81,  47,  66,  73,  55,  72,  79,  49,  66,  74,  59,  75,  83,  64,  80,  86,  73,  88,  93,  61,  79,  83,  43,  65,  71,  62,  84,  89,  83, 102, 107,
    81, 102, 106,  67,  89,  96,  90, 112, 117,  97, 117, 123,  74, 100, 106,  92, 116, 122, 106, 129, 135,  94, 120, 125, 101, 126, 131,  79, 109, 116, 116, 142, 149, 110, 138, 147, 134, 156, 163, 133, 155, 163, 135, 157, 165, 134, 156, 164, 152, 171, 177, 141, 162, 169, 123, 150, 156, 102, 135, 142, 114, 145, 150,
   159, 177, 183, 157, 175, 181, 155, 175, 180, 156, 176, 183, 170, 187, 191, 175, 191, 195, 159, 179, 185, 162, 181, 187, 156, 178, 183, 171, 187, 192, 158, 179, 183, 157, 177, 182, 162, 182, 185, 157, 179, 182, 140, 167, 172, 168, 188, 192, 162, 182, 188, 143, 171, 177, 159, 181, 186, 153, 178, 183, 149, 175, 181,
   158, 181, 188, 148, 176, 183, 163, 185, 191, 176, 194, 199, 172, 195, 198, 188, 205, 208, 197, 210, 213, 200, 213, 215, 202, 215, 217, 206, 219, 219, 211, 223, 223, 223, 231, 231, 222, 232, 231, 220, 230, 229, 223, 231, 230, 218, 228, 228, 213, 224, 223, 215, 226, 224, 209, 221, 219, 207, 220, 218, 209, 222, 220,
   212, 224, 222, 217, 227, 225, 219, 227, 226, 220, 228, 227, 218, 227, 226, 220, 228, 227, 218, 227, 226, 219, 227, 226, 218, 227, 226, 214, 225, 223, 218, 228, 226, 221, 229, 228, 219, 227, 225, 219, 228, 225, 219, 228, 225, 221, 229, 226, 221, 230, 227, 223, 230, 227, 224, 231, 228, 226, 233, 231, 225, 232, 229,
   210, 222, 228, 208, 222, 228, 208, 222, 228, 207, 221, 227, 207, 221, 227, 206, 220, 226, 207, 221, 227, 206, 220, 226, 206, 220, 226, 206, 220, 226, 203, 218, 224, 202, 218, 224, 201, 217, 223, 201, 217, 223, 200, 216, 222, 199, 215, 221, 198, 214, 221, 198, 214, 221, 195, 212, 219, 193, 211, 218, 192, 210, 217,
   189, 207, 214, 186, 205, 212, 183, 203, 211, 182, 202, 210, 178, 199, 207, 177, 198, 207, 177, 198, 207, 176, 196, 207, 176, 196, 207, 175, 194, 205, 174, 194, 205, 173, 193, 204, 172, 193, 204, 170, 191, 202, 169, 190, 201, 168, 189, 200, 166, 187, 199, 163, 185, 197, 162, 184, 196, 157, 181, 193, 155, 179, 192,
   152, 177, 192, 149, 175, 189, 148, 175, 189, 150, 176, 189, 150, 175, 188, 152, 177, 189, 151, 176, 188, 150, 175, 187, 147, 173, 185, 146, 172, 185, 145, 171, 182, 143, 169, 183, 137, 164, 179, 135, 162, 177, 128, 158, 172, 126, 156, 171, 121, 152, 168, 115, 147, 163, 114, 147, 163, 110, 143, 159, 104, 137, 154,
   106, 136, 154, 100, 133, 149, 100, 131, 148,  96, 127, 144,  93, 123, 140,  89, 119, 136,  87, 117, 134,  88, 118, 132,  91, 119, 134,  90, 117, 131,  84, 112, 126,  79, 108, 122,  73, 103, 117,  73, 103, 117,  72, 102, 116,  71,  99, 114,  71,  99, 114,  73,  99, 115,  73,  99, 115,  71,  97, 112,  72,  99, 114,
    73,  99, 114,  72,  99, 113,  70,  97, 111,  72,  98, 112,  67,  95, 109,  65,  94, 106,  68,  97, 108,  73, 102, 113,  73, 104, 114,  74, 105, 114,  80, 113, 121,  93, 128, 139, 113, 144, 155, 124, 154, 165, 128, 158, 169, 132, 161, 171, 132, 159, 170, 130, 158, 169, 126, 155, 165, 125, 156, 166, 138, 164, 174,
   150, 172, 184, 152, 173, 184, 140, 164, 175, 124, 150, 163, 119, 144, 156, 120, 145, 155, 102, 121, 128,  81,  99, 106,  68,  87,  93,  60,  79,  85,  64,  79,  83,  56,  67,  68,  27,  33,  32,   8,  13,  11,  22,  27,  26,   3,   6,   5,  18,  21,  21,  18,  22,  21,  80,  83,  83,  77,  81,  82,  77,  83,  86,
    65,  75,  79, 111, 118, 121, 107, 116, 119,  77,  88,  90,  79,  91,  93,  48,  65,  68, 122, 133, 136, 124, 137, 141, 160, 170, 173, 118, 137, 142, 158, 171, 176, 169, 182, 185, 163, 179, 184, 151, 170, 175, 183, 193, 196, 147, 165, 171, 108, 133, 140, 132, 154, 160, 130, 156, 163, 200, 209, 212, 182, 197, 200,
   175, 190, 194, 165, 185, 188, 124, 154, 161, 124, 151, 161, 155, 175, 181, 144, 171, 179, 198, 208, 211, 160, 180, 187, 154, 175, 183, 142, 167, 174, 115, 142, 151, 119, 144, 151, 128, 150, 157,  96, 119, 128,  75, 100, 109,  34,  64,  73,  49,  74,  82,  61,  86,  94,  65,  92,  99,  82, 104, 110,  84, 106, 110,
    95, 115, 117,  99, 118, 119,  89, 109, 110,  68,  89,  93,  54,  74,  79,  55,  75,  81,  61,  79,  84,  59,  76,  82,  63,  77,  84,  54,  70,  75,  69,  82,  85,  63,  76,  81,  63,  77,  81,  56,  71,  73,  36,  54,  57,  51,  67,  70,  48,  64,  70,  49,  63,  70,  41,  58,  65,  38,  54,  61,  54,  68,  73,
    55,  69,  74,  37,  55,  61,  38,  57,  62,  44,  61,  67,  49,  64,  70,  44,  59,  66,  49,  63,  69,  56,  71,  75,  48,  65,  69,  38,  56,  62,  54,  71,  76,  54,  70,  77,  53,  69,  77,  65,  80,  87,  65,  80,  87,  58,  73,  80,  41,  61,  66,  67,  85,  90,  78,  93,  98,  66,  86,  90,  74,  94,  99,
    57,  80,  85,  80, 101, 105,  76,  98, 104,  62,  87,  93,  87, 108, 115,  85, 109, 115, 109, 131, 136, 105, 128, 133, 100, 124, 130, 102, 125, 131,  99, 125, 131,  95, 124, 132, 107, 135, 143, 123, 148, 156, 130, 152, 160, 140, 161, 167, 142, 163, 170, 140, 162, 169, 151, 169, 176, 136, 159, 167, 130, 156, 164,
   122, 150, 158, 148, 170, 175, 165, 182, 186, 161, 179, 184, 164, 182, 187, 176, 191, 195, 166, 184, 189, 168, 186, 191, 170, 187, 192, 167, 185, 189, 181, 195, 199, 166, 185, 189, 165, 184, 187, 153, 176, 180, 166, 185, 188, 155, 179, 183, 171, 189, 194, 157, 180, 186, 157, 180, 185, 156, 180, 185, 165, 187, 190,
   167, 188, 194, 157, 182, 187, 161, 184, 190, 177, 196, 200, 182, 199, 202, 179, 199, 202, 188, 205, 208, 204, 216, 217, 203, 216, 215, 208, 220, 220, 209, 221, 221, 212, 224, 224, 225, 233, 233, 219, 229, 228, 224, 232, 232, 222, 230, 229, 219, 229, 227, 217, 227, 226, 212, 224, 221, 210, 223, 221, 209, 221, 219,
   213, 224, 222, 214, 225, 223, 217, 226, 225, 220, 228, 227, 219, 227, 226, 219, 227, 226, 219, 227, 226, 217, 225, 224, 217, 225, 224, 217, 225, 224, 217, 225, 224, 218, 226, 225, 221, 230, 228, 219, 227, 225, 220, 228, 225, 219, 228, 225, 222, 229, 227, 224, 231, 228, 225, 232, 229, 226, 233, 230, 226, 233, 231,
   209, 223, 228, 210, 224, 228, 208, 222, 228, 208, 222, 227, 208, 222, 228, 207, 221, 227, 207, 221, 227, 207, 221, 227, 206, 220, 226, 205, 219, 225, 204, 218, 224, 202, 218, 224, 201, 217, 223, 201, 217, 223, 199, 215, 221, 199, 215, 221, 199, 215, 221, 196, 213, 220, 193, 211, 218, 192, 210, 217, 191, 210, 217,
   189, 207, 214, 186, 205, 212, 185, 204, 211, 181, 201, 209, 178, 199, 208, 177, 199, 206, 177, 197, 208, 177, 197, 207, 176, 196, 206, 175, 195, 206, 174, 195, 205, 174, 194, 205, 172, 193, 204, 172, 193, 203, 171, 191, 202, 169, 190, 201, 167, 188, 200, 164, 184, 197, 161, 183, 195, 156, 180, 192, 154, 179, 192,
   151, 176, 190, 148, 174, 189, 150, 176, 190, 153, 177, 190, 154, 178, 190, 152, 177, 189, 154, 177, 189, 153, 177, 189, 148, 174, 186, 144, 170, 183, 142, 168, 183, 139, 165, 179, 136, 163, 178, 131, 158, 174, 125, 155, 170, 121, 152, 167, 117, 149, 165, 114, 146, 162, 111, 144, 160, 108, 141, 157, 108, 139, 155,
   104, 136, 152, 102, 133, 152,  98, 130, 148,  95, 127, 145,  93, 123, 141,  89, 119, 136,  90, 119, 136,  93, 121, 138,  88, 117, 131,  84, 112, 127,  80, 109, 123,  77, 106, 120,  74, 103, 117,  74, 103, 117,  72, 101, 116,  74, 101, 117,  73,  99, 115,  75, 101, 117,  74, 101, 116,  73, 100, 115,  73, 100, 115,
    72,  99, 113,  71,  98, 112,  70,  97, 110,  69,  97, 110,  71,  99, 111,  82, 110, 121,  90, 117, 128,  86, 114, 126,  93, 120, 131, 101, 128, 137, 112, 138, 145, 123, 150, 158, 136, 160, 169, 142, 166, 174, 141, 166, 175, 141, 166, 175, 135, 161, 171, 131, 158, 168, 134, 161, 171, 131, 159, 169, 142, 166, 178,
   159, 178, 188, 148, 169, 182, 135, 157, 169, 132, 151, 164, 132, 150, 161, 116, 135, 144, 100, 120, 126,  93, 110, 116,  82,  99, 106,  80,  96, 102,  74,  87,  92,  59,  71,  74,  46,  51,  53,  14,  18,  19,  11,  15,  16,  13,  16,  15,  10,  12,  12,  25,  28,  28,  82,  86,  87, 102, 109, 111,  94, 102, 106,
    88,  98, 103,  84,  94,  99,  79,  88,  92,  98, 107, 110,  85,  96,  99,  66,  80,  84,  96, 109, 111,  59,  78,  81,  69,  90,  95, 137, 152, 157, 154, 167, 172, 162, 175, 179, 171, 184, 188, 168, 183, 188, 172, 186, 191, 163, 180, 184, 146, 168, 173, 148, 169, 174, 175, 190, 194, 155, 177, 182, 191, 203, 206,
   184, 198, 202, 173, 191, 193, 176, 193, 195, 148, 170, 179, 158, 179, 184, 156, 179, 186, 162, 185, 190, 194, 206, 210, 165, 184, 191, 152, 172, 179, 141, 164, 172, 136, 160, 168, 128, 153, 161, 145, 163, 168, 122, 145, 152, 145, 160, 165, 140, 156, 160, 149, 164, 166, 152, 166, 168, 142, 159, 161, 117, 137, 139,
    95, 117, 119,  77, 100, 101,  68,  92,  94,  83, 103, 105,  62,  81,  85,  60,  79,  85,  58,  76,  82,  60,  78,  84,  51,  68,  75,  63,  77,  82,  62,  76,  79,  65,  78,  80,  56,  72,  74,  59,  74,  77,  70,  84,  87,  63,  78,  82,  66,  80,  86,  48,  64,  71,  44,  60,  67,  42,  58,  65,  49,  63,  69,
    45,  60,  67,  64,  79,  83,  48,  65,  69,  25,  44,  50,  41,  55,  60,  43,  57,  61,  37,  53,  57,  49,  64,  66,  53,  68,  72,  52,  68,  73,  40,  58,  64,  57,  72,  78,  55,  71,  78,  55,  71,  79,  59,  74,  82,  76,  89,  96,  83,  97, 100,  64,  81,  86,  66,  83,  87,  72,  88,  93,  77,  97, 101,
    84, 104, 107,  74,  95,  99,  67,  88,  93,  83, 104, 108,  63,  87,  94,  96, 116, 123,  87, 111, 117,  69,  96, 103, 121, 140, 146, 117, 138, 144, 109, 134, 140, 123, 146, 153,  93, 122, 130, 111, 138, 146, 121, 145, 153, 124, 147, 155, 142, 164, 170, 151, 170, 176, 137, 160, 168, 155, 173, 179, 154, 172, 179,
   140, 162, 169, 136, 161, 168, 138, 163, 168, 163, 181, 186, 162, 181, 185, 167, 183, 188, 167, 184, 189, 159, 179, 184, 174, 190, 194, 169, 188, 193, 171, 188, 192, 184, 198, 201, 170, 187, 190, 168, 186, 189, 156, 178, 183, 159, 180, 185, 158, 181, 187, 176, 193, 197, 166, 187, 190, 168, 188, 191, 169, 188, 191,
   166, 188, 190, 171, 192, 196, 163, 186, 192, 161, 185, 190, 186, 201, 204, 182, 200, 203, 184, 202, 205, 196, 210, 212, 202, 215, 215, 205, 217, 218, 211, 222, 221, 214, 224, 224, 220, 229, 227, 222, 230, 229, 222, 230, 229, 223, 231, 230, 224, 232, 231, 224, 232, 232, 213, 225, 223, 209, 222, 220, 211, 223, 223,
   212, 223, 222, 214, 225, 223, 212, 223, 221, 218, 226, 225, 220, 228, 227, 218, 226, 225, 219, 227, 226, 218, 226, 225, 218, 227, 225, 216, 224, 223, 216, 225, 223, 219, 227, 226, 219, 227, 226, 221, 228, 227, 222, 229, 226, 221, 229, 227, 222, 229, 227, 223, 230, 227, 225, 231, 228, 226, 233, 230, 229, 236, 233,
   210, 225, 228, 210, 224, 228, 211, 225, 228, 209, 224, 227, 208, 223, 226, 209, 223, 226, 209, 222, 226, 206, 220, 227, 206, 220, 226, 205, 219, 225, 205, 219, 225, 202, 217, 223, 201, 217, 223, 200, 216, 222, 200, 216, 222, 199, 215, 221, 197, 215, 220, 197, 214, 221, 193, 212, 218, 192, 210, 217, 190, 209, 216,
   188, 207, 214, 185, 204, 212, 185, 204, 212, 181, 202, 210, 180, 200, 209, 179, 199, 210, 178, 198, 209, 177, 197, 208, 178, 198, 206, 177, 197, 206, 175, 195, 205, 175, 195, 206, 172, 192, 203, 173, 193, 203, 172, 192, 203, 171, 191, 202, 167, 187, 199, 164, 186, 198, 158, 182, 194, 156, 180, 192, 152, 177, 190,
   150, 176, 190, 153, 178, 192, 154, 178, 192, 155, 178, 191, 158, 180, 192, 157, 180, 192, 153, 176, 188, 150, 174, 186, 145, 171, 185, 141, 167, 181, 137, 164, 178, 136, 163, 178, 131, 158, 174, 128, 156, 172, 123, 152, 167, 120, 150, 166, 117, 147, 164, 115, 145, 162, 113, 143, 160, 110, 140, 157, 107, 137, 154,
   106, 137, 153, 103, 133, 152,  99, 130, 148,  94, 127, 144,  94, 124, 141,  93, 123, 140,  92, 120, 137,  89, 116, 134,  83, 113, 127,  80, 109, 124,  76, 106, 121,  71, 103, 116,  73, 102, 116,  73, 102, 116,  74, 102, 117,  76, 102, 118,  77, 103, 119,  75, 101, 117,  74, 101, 115,  74, 101, 115,  75, 101, 115,
    75, 103, 116,  85, 111, 124, 101, 125, 139, 103, 128, 141, 119, 141, 152, 119, 141, 152, 117, 141, 150, 117, 141, 151, 121, 142, 151, 120, 142, 150, 123, 145, 154, 123, 150, 158, 129, 154, 162, 139, 161, 169, 144, 168, 176, 155, 173, 181, 156, 176, 184, 152, 173, 180, 145, 168, 177, 143, 165, 175, 147, 169, 179,
   147, 168, 180, 149, 171, 182, 128, 150, 163, 125, 146, 158, 107, 129, 141, 100, 122, 130,  94, 114, 121, 117, 132, 139,  91, 109, 116,  72,  88,  96,  66,  80,  86,  61,  73,  77,  71,  75,  78,  27,  32,  32,  10,  14,  15,  15,  17,  17,  19,  21,  21,  60,  61,  60, 119, 123, 124, 113, 118, 120,  60,  70,  75,
   101, 109, 114,  80,  91,  96,  77,  88,  91,  85,  95,  98,  82,  93,  96, 141, 148, 150,  38,  57,  60,  91, 106, 109,  96, 113, 116, 100, 118, 125, 133, 149, 155, 136, 153, 159, 185, 195, 197, 165, 180, 184, 184, 196, 199, 186, 199, 201, 183, 195, 199, 189, 201, 203, 175, 190, 194, 195, 204, 208, 192, 204, 208,
   201, 210, 213, 205, 214, 217, 211, 219, 221, 193, 205, 207, 198, 210, 213, 188, 201, 204, 180, 196, 201, 188, 203, 207, 187, 201, 205, 200, 210, 214, 195, 207, 211, 196, 208, 211, 190, 204, 209, 166, 185, 190, 173, 186, 192, 144, 163, 169,  97, 124, 129,  59,  95, 100,  49,  87,  91,  57,  92,  96,  80, 107, 111,
   118, 139, 140, 168, 181, 181, 193, 199, 199, 205, 210, 210, 193, 198, 198, 150, 161, 161, 123, 138, 137, 115, 124, 124,  88, 104, 103,  57,  73,  74,  54,  68,  70,  45,  60,  62,  71,  84,  87,  72,  86,  88,  64,  78,  82,  56,  72,  77,  63,  78,  84,  51,  67,  75,  63,  77,  84,  58,  73,  78,  50,  65,  71,
    47,  62,  67,  38,  55,  59,  41,  58,  61,  54,  67,  70,  36,  52,  55,  38,  53,  57,  40,  54,  58,  37,  52,  56,  39,  57,  59,  48,  64,  70,  55,  70,  75,  58,  73,  80,  63,  78,  84,  59,  73,  81,  69,  83,  91,  64,  81,  87,  66,  83,  87,  71,  89,  92,  68,  85,  89,  71,  89,  92,  70,  89,  93,
    68,  90,  91,  84, 104, 105, 109, 127, 128,  94, 113, 116,  85, 106, 111,  83, 105, 111,  88, 109, 115, 103, 124, 130,  71,  97, 103, 110, 132, 138, 110, 133, 139, 105, 130, 137, 127, 148, 155, 103, 129, 136, 122, 145, 151, 128, 151, 156, 118, 144, 150, 130, 152, 160, 136, 158, 166, 137, 159, 168, 146, 165, 173,
   141, 163, 171, 144, 165, 171, 146, 168, 174, 145, 166, 172, 154, 174, 180, 163, 181, 186, 162, 181, 186, 160, 179, 184, 158, 178, 183, 176, 192, 195, 171, 187, 191, 168, 186, 189, 175, 192, 195, 181, 196, 198, 160, 181, 186, 151, 175, 181, 164, 186, 190, 167, 187, 191, 171, 190, 192, 180, 196, 199, 179, 196, 199,
   184, 200, 202, 183, 199, 202, 177, 196, 199, 176, 195, 198, 178, 197, 200, 194, 207, 210, 188, 203, 205, 194, 208, 210, 200, 214, 213, 206, 218, 218, 207, 219, 219, 215, 226, 223, 220, 228, 227, 221, 229, 228, 222, 230, 229, 222, 230, 229, 223, 231, 230, 223, 231, 230, 222, 230, 229, 214, 225, 223, 212, 223, 221,
   214, 225, 223, 213, 224, 222, 216, 226, 224, 214, 225, 223, 218, 227, 225, 219, 226, 226, 216, 225, 222, 218, 227, 224, 216, 225, 223, 216, 224, 223, 217, 225, 223, 217, 226, 223, 221, 228, 227, 222, 228, 226, 221, 228, 226, 220, 229, 225, 223, 230, 227, 221, 229, 225, 224, 231, 228, 226, 233, 230, 228, 235, 232,
   213, 225, 229, 212, 225, 229, 211, 225, 228, 211, 225, 228, 210, 223, 227, 209, 222, 226, 208, 223, 226, 207, 221, 228, 206, 220, 226, 205, 220, 226, 203, 219, 225, 202, 217, 223, 202, 218, 224, 200, 216, 222, 200, 216, 222, 199, 216, 221, 198, 215, 220, 196, 215, 219, 194, 212, 219, 192, 210, 217, 189, 208, 215,
   188, 207, 214, 186, 205, 212, 186, 205, 213, 184, 202, 211, 184, 203, 211, 179, 199, 210, 180, 198, 210, 179, 198, 209, 179, 198, 206, 177, 197, 206, 177, 197, 206, 175, 196, 204, 176, 195, 206, 173, 193, 203, 172, 192, 203, 170, 190, 201, 168, 189, 200, 162, 185, 197, 159, 183, 195, 156, 181, 193, 155, 179, 194,
   155, 179, 194, 156, 180, 192, 155, 180, 191, 158, 180, 192, 159, 181, 193, 156, 178, 190, 153, 176, 189, 147, 172, 186, 143, 169, 182, 137, 164, 179, 135, 162, 177, 131, 159, 174, 128, 156, 171, 124, 153, 168, 121, 152, 167, 120, 150, 165, 120, 149, 164, 118, 146, 162, 117, 145, 161, 109, 139, 157, 109, 139, 156,
   104, 133, 152,  99, 131, 150, 100, 131, 149,  94, 125, 143,  96, 126, 144,  91, 120, 137,  89, 117, 134,  86, 114, 131,  81, 110, 126,  74, 105, 120,  73, 104, 119,  74, 104, 119,  76, 105, 119,  75, 104, 119,  75, 103, 119,  76, 102, 118,  75, 101, 117,  78, 104, 119,  87, 113, 126,  97, 122, 135, 103, 127, 139,
   112, 135, 149, 119, 142, 154, 117, 139, 153, 108, 133, 145, 101, 125, 137,  90, 117, 127,  88, 115, 124,  86, 115, 122,  83, 116, 122,  78, 111, 118,  81, 115, 122,  78, 116, 124,  95, 130, 139, 113, 144, 152, 127, 156, 166, 126, 157, 168, 139, 164, 174, 141, 166, 175, 133, 160, 169, 127, 155, 165, 125, 154, 164,
   135, 161, 171, 133, 157, 170, 127, 150, 163, 109, 135, 147, 101, 125, 136,  82, 107, 116,  96, 115, 122, 108, 125, 131, 104, 121, 127,  82,  99, 105,  75,  90,  95,  81,  93,  97,  69,  76,  77,  53,  58,  60,  31,  36,  38,  19,  24,  25,  25,  26,  27,  27,  30,  31,  74,  81,  83,  84,  91,  94,  93, 102, 105,
    77,  90,  95, 102, 112, 115,  93, 103, 106,  85,  96,  98,  69,  82,  84,  65,  80,  82, 140, 149, 151,  80,  96, 100, 111, 126, 129, 109, 126, 130, 164, 173, 177, 128, 145, 150, 162, 174, 177, 165, 179, 182, 164, 182, 185, 135, 160, 165, 189, 201, 204, 178, 193, 197, 178, 193, 196, 183, 195, 199, 190, 200, 203,
   197, 207, 209, 184, 197, 199, 192, 203, 205, 192, 204, 206, 191, 204, 206, 189, 202, 205, 150, 176, 182, 190, 203, 208, 203, 214, 217, 195, 208, 209, 191, 204, 207, 200, 212, 214, 178, 195, 199, 196, 208, 212, 184, 198, 203, 177, 194, 200, 176, 192, 196, 180, 195, 198, 139, 161, 163, 130, 150, 154, 116, 139, 143,
    88, 114, 122,  92, 115, 121,  91, 115, 119,  99, 122, 126, 118, 138, 139, 141, 156, 157, 145, 157, 156, 136, 148, 148, 144, 156, 155, 162, 174, 173, 173, 183, 184, 165, 174, 174, 136, 146, 147, 125, 137, 139, 143, 149, 152, 124, 132, 135, 112, 119, 123, 100, 112, 115,  67,  79,  82,  38,  52,  57,  44,  54,  59,
    53,  68,  72,  65,  80,  84,  41,  59,  63,  32,  48,  52,  48,  62,  64,  46,  60,  63,  42,  57,  59,  40,  55,  58,  45,  61,  64,  44,  60,  64,  44,  61,  66,  61,  75,  82,  59,  74,  81,  67,  80,  87,  58,  73,  80,  55,  73,  78,  75,  91,  95,  88, 103, 106,  67,  84,  88,  49,  69,  74,  68,  87,  92,
    81,  99, 102,  68,  92,  92,  88, 109, 110,  95, 115, 118, 129, 145, 148,  89, 110, 115,  80, 102, 107,  78, 100, 106, 106, 127, 132,  83, 108, 114, 104, 126, 133,  98, 125, 132, 105, 130, 138, 112, 137, 145, 110, 137, 143,  96, 124, 131, 119, 143, 149, 106, 132, 140, 114, 137, 148, 125, 147, 158, 126, 149, 158,
   138, 161, 169, 130, 155, 163, 148, 168, 174, 146, 167, 173, 149, 170, 175, 149, 171, 176, 168, 185, 188, 163, 181, 185, 161, 180, 184, 166, 184, 187, 177, 192, 195, 173, 189, 192, 174, 190, 193, 173, 191, 193, 183, 197, 200, 165, 186, 189, 154, 179, 184, 168, 188, 191, 183, 198, 201, 171, 191, 194, 184, 201, 203,
   182, 199, 202, 183, 200, 203, 186, 202, 205, 179, 197, 200, 181, 199, 202, 185, 202, 203, 196, 210, 212, 192, 208, 210, 197, 212, 212, 204, 217, 216, 207, 220, 219, 214, 224, 223, 219, 228, 227, 227, 234, 233, 222, 230, 229, 223, 231, 230, 219, 228, 227, 225, 233, 232, 222, 230, 229, 220, 229, 228, 216, 227, 225,
   214, 224, 224, 214, 225, 223, 213, 224, 222, 218, 226, 225, 216, 225, 222, 216, 225, 222, 217, 226, 223, 216, 224, 222, 218, 226, 225, 217, 225, 224, 216, 226, 222, 217, 226, 223, 218, 227, 224, 220, 228, 225, 223, 230, 227, 222, 228, 227, 221, 229, 226, 221, 229, 227, 224, 231, 228, 225, 232, 229, 226, 233, 230,
   213, 225, 229, 214, 226, 230, 212, 225, 229, 212, 224, 228, 209, 225, 228, 208, 223, 226, 209, 224, 226, 206, 220, 226, 207, 221, 227, 205, 219, 225, 202, 218, 224, 202, 217, 223, 201, 218, 224, 201, 217, 223, 201, 217, 223, 200, 216, 222, 198, 215, 221, 195, 214, 219, 194, 212, 219, 193, 211, 218, 190, 209, 216,
   189, 208, 215, 188, 207, 214, 187, 206, 213, 186, 205, 213, 184, 203, 211, 183, 201, 209, 180, 200, 209, 179, 200, 207, 180, 200, 208, 177, 198, 206, 177, 198, 206, 175, 196, 205, 175, 195, 206, 174, 194, 205, 173, 193, 204, 170, 191, 202, 166, 188, 199, 162, 186, 198, 160, 184, 196, 159, 183, 195, 159, 183, 195,
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   104, 134, 151,  99, 131, 148,  98, 129, 146,  95, 125, 143,  93, 123, 140,  89, 119, 136,  84, 113, 130,  81, 110, 127,  76, 106, 123,  75, 105, 122,  72, 103, 118,  74, 104, 119,  76, 105, 119,  74, 104, 119,  80, 107, 121,  89, 115, 130, 100, 124, 139, 108, 131, 144, 107, 131, 143, 105, 129, 141, 104, 128, 140,
   107, 130, 144, 100, 125, 139,  90, 116, 130,  84, 110, 123,  81, 108, 119,  76, 104, 114,  76, 105, 112,  73, 103, 110,  70, 103, 108,  70, 104, 111,  71, 106, 114,  76, 112, 121,  87, 123, 133, 101, 134, 144, 119, 151, 161, 131, 160, 171, 138, 164, 175, 133, 161, 171, 123, 154, 164, 119, 150, 160, 126, 155, 164,
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   127, 153, 160, 132, 156, 164, 132, 157, 164, 150, 170, 176, 141, 164, 170, 154, 173, 178, 129, 156, 162, 159, 178, 182, 162, 181, 185, 158, 179, 183, 162, 181, 185, 176, 191, 194, 182, 196, 200, 171, 190, 192, 171, 189, 192, 182, 197, 200, 177, 194, 197, 161, 184, 188, 168, 188, 193, 191, 204, 207, 170, 190, 193,
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   161, 183, 195, 161, 183, 195, 156, 180, 192, 155, 179, 191, 152, 176, 188, 147, 172, 186, 144, 170, 184, 139, 165, 180, 133, 162, 176, 131, 159, 175, 126, 154, 170, 128, 155, 171, 125, 153, 169, 122, 150, 167, 119, 149, 164, 120, 149, 164, 114, 144, 161, 116, 145, 162, 110, 141, 158, 109, 138, 155, 106, 136, 153,
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   158, 174, 177, 142, 161, 166, 146, 165, 171, 182, 194, 197, 178, 192, 195, 175, 190, 192, 150, 172, 177, 176, 191, 195, 175, 191, 195, 170, 188, 193, 192, 204, 208, 180, 196, 201, 183, 198, 203, 167, 186, 192, 171, 188, 193, 203, 212, 215, 169, 187, 191, 175, 191, 194, 163, 181, 183, 144, 167, 171, 170, 183, 185,
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   113, 121, 124, 100, 104, 108,  15,  26,  29,  63,  73,  76, 107, 112, 115, 138, 142, 144, 120, 125, 126, 123, 131, 132, 120, 128, 130,  62,  72,  74,  22,  37,  42,  42,  59,  66,  52,  65,  72,  42,  56,  63,  48,  61,  66,  63,  74,  78,  63,  76,  81,  63,  74,  81,  59,  72,  78,  80,  94, 100,  87, 104, 109,
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   107, 135, 142, 132, 155, 161, 126, 151, 158, 130, 155, 161, 126, 153, 160, 144, 166, 171, 147, 168, 174, 125, 153, 159, 155, 176, 181, 162, 181, 184, 160, 180, 184, 154, 175, 180, 180, 194, 197, 176, 192, 194, 167, 186, 189, 177, 194, 196, 190, 203, 205, 178, 195, 198, 169, 187, 190, 170, 189, 192, 188, 201, 204,
   180, 196, 200, 186, 201, 203, 196, 208, 210, 190, 204, 207, 187, 202, 204, 191, 206, 208, 193, 210, 211, 196, 211, 212, 205, 217, 217, 203, 216, 217, 208, 219, 219, 214, 224, 224, 217, 226, 225, 222, 230, 229, 226, 233, 232, 224, 232, 231, 225, 232, 232, 224, 232, 228, 224, 231, 230, 221, 228, 226, 216, 225, 224,
   220, 227, 226, 216, 224, 223, 216, 225, 224, 217, 226, 223, 216, 224, 222, 218, 226, 224, 216, 225, 222, 217, 226, 223, 219, 226, 223, 215, 224, 221, 215, 224, 221, 216, 225, 222, 216, 225, 222, 218, 227, 224, 219, 227, 224, 219, 228, 226, 224, 230, 227, 223, 231, 228, 224, 231, 228, 225, 232, 229, 227, 234, 231,
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   191, 209, 216, 191, 209, 216, 190, 208, 215, 188, 207, 214, 187, 206, 212, 186, 205, 213, 183, 203, 211, 183, 202, 210, 182, 200, 208, 177, 199, 207, 176, 197, 205, 176, 197, 206, 175, 195, 206, 173, 194, 205, 171, 193, 204, 170, 192, 203, 169, 191, 203, 167, 189, 201, 165, 187, 199, 164, 186, 198, 162, 184, 196,
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   139, 167, 176, 141, 166, 176, 125, 152, 160, 106, 134, 143, 116, 140, 147,  95, 122, 129, 110, 132, 138, 109, 130, 137, 107, 127, 134, 103, 124, 131, 110, 128, 133,  93, 106, 109,  89, 101, 102, 101, 111, 113, 108, 117, 120,  59,  70,  72,  45,  52,  55,  33,  42,  44,  36,  45,  47,  86,  93,  94,  64,  73,  74,
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   102, 125, 131,  62,  95, 104, 132, 152, 159, 113, 141, 149, 128, 153, 161, 125, 152, 159, 180, 191, 194, 155, 173, 177, 190, 200, 202, 154, 175, 180, 131, 160, 168, 146, 171, 178, 164, 184, 189, 205, 214, 216, 178, 193, 198, 164, 183, 188, 181, 194, 198, 181, 193, 196, 157, 175, 179, 183, 195, 196, 160, 177, 180,
   169, 181, 184, 133, 153, 155, 112, 136, 139,  80, 110, 112,  77, 104, 105, 101, 123, 123, 103, 122, 122, 114, 132, 131, 113, 131, 130, 114, 129, 130, 112, 127, 128,  86, 103, 104,  78,  96,  98,  63,  81,  84,  70,  87,  90,  63,  79,  83,  53,  72,  77,  53,  71,  78,  65,  83,  89,  58,  75,  80,  65,  81,  88,
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    88, 106, 112,  70,  91,  97,  75,  95, 102,  59,  81,  87,  79,  98, 104,  88, 106, 112,  78, 100, 105,  94, 113, 117,  89, 110, 115,  95, 115, 119,  78, 101, 106,  78, 101, 107,  80, 103, 109,  84, 106, 113,  86, 111, 116,  86, 110, 116, 100, 124, 130, 103, 127, 134, 108, 132, 140, 102, 127, 137, 100, 127, 134,
   111, 138, 145, 117, 143, 150, 115, 141, 149, 123, 147, 155, 126, 151, 157, 124, 150, 157, 131, 156, 162, 123, 151, 157, 139, 162, 168, 139, 164, 168, 165, 182, 185, 152, 174, 178, 162, 181, 184, 172, 188, 191, 177, 191, 194, 166, 184, 188, 174, 191, 194, 187, 200, 202, 182, 197, 199, 169, 188, 191, 177, 194, 197,
   183, 198, 200, 178, 196, 198, 194, 207, 209, 198, 210, 212, 196, 209, 211, 192, 208, 210, 194, 209, 210, 201, 214, 215, 201, 214, 214, 205, 218, 219, 209, 220, 220, 213, 223, 223, 217, 226, 224, 220, 228, 227, 224, 232, 231, 226, 233, 232, 223, 231, 230, 223, 230, 229, 222, 230, 229, 224, 230, 229, 216, 226, 225,
   215, 225, 223, 218, 227, 224, 216, 225, 222, 215, 224, 222, 217, 226, 223, 216, 225, 223, 219, 228, 225, 215, 224, 221, 220, 227, 224, 217, 226, 223, 215, 224, 221, 214, 223, 220, 216, 225, 222, 218, 227, 224, 218, 227, 224, 218, 227, 224, 220, 229, 226, 222, 230, 227, 224, 230, 227, 224, 231, 228, 226, 233, 230,
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   192, 210, 217, 191, 209, 216, 189, 207, 214, 189, 207, 214, 187, 206, 213, 186, 205, 213, 185, 204, 212, 182, 203, 211, 183, 202, 210, 181, 201, 209, 179, 199, 207, 177, 198, 206, 175, 196, 207, 174, 195, 206, 173, 194, 205, 170, 192, 204, 168, 190, 202, 167, 189, 201, 166, 188, 200, 165, 187, 199, 163, 185, 197,
   160, 182, 195, 154, 177, 192, 151, 175, 189, 146, 172, 186, 143, 170, 184, 137, 164, 179, 132, 160, 176, 130, 159, 174, 129, 159, 174, 128, 157, 171, 129, 156, 170, 124, 153, 167, 121, 151, 166, 120, 150, 165, 116, 146, 162, 113, 143, 160, 111, 141, 158, 109, 141, 157, 105, 136, 155, 104, 135, 153,  99, 132, 147,
    98, 128, 145,  96, 128, 144,  92, 125, 141,  90, 123, 139,  85, 115, 132,  82, 113, 130,  83, 112, 129,  85, 113, 130,  89, 116, 134, 100, 126, 142, 105, 130, 146, 102, 127, 143,  90, 117, 132,  81, 109, 124,  72, 101, 115,  71, 101, 113,  78, 106, 119,  88, 115, 129,  87, 113, 128,  82, 108, 123,  83, 109, 123,
    82, 106, 118,  78, 103, 116,  76, 102, 114,  72, 102, 113,  73, 101, 112,  71, 100, 111,  69,  98, 108,  73, 102, 111,  77, 106, 114,  84, 113, 120,  93, 119, 127, 110, 133, 141, 130, 149, 157, 139, 161, 169, 147, 165, 172, 145, 166, 175, 142, 167, 175, 138, 165, 173, 130, 160, 167, 126, 158, 167, 148, 172, 180,
   151, 176, 184, 142, 165, 173, 114, 142, 152, 115, 137, 144, 110, 133, 140, 121, 143, 149, 108, 128, 133, 109, 128, 133, 112, 131, 136, 105, 124, 131,  77,  99, 106,  68,  89,  96,  74,  86,  91,  78,  91,  94,  77,  88,  94,  94, 102, 105,  58,  65,  69,  47,  55,  59,  89,  94,  96,  71,  77,  78,  68,  76,  76,
    67,  74,  75,  64,  72,  75,  73,  82,  86,  65,  75,  80,  73,  84,  89,  92, 104, 106, 137, 148, 151, 177, 183, 185, 130, 145, 147, 113, 129, 133, 171, 180, 181, 147, 161, 163, 144, 159, 161, 134, 152, 155, 128, 147, 150, 139, 155, 159, 146, 162, 165, 117, 138, 142, 118, 141, 144, 139, 156, 160, 158, 172, 175,
   159, 173, 177,  91, 117, 125,  97, 124, 133,  90, 122, 132, 134, 158, 166, 154, 173, 179, 162, 179, 184, 159, 177, 182, 106, 138, 146, 138, 163, 170, 162, 180, 187, 143, 168, 177, 167, 183, 189, 136, 163, 171, 143, 166, 171, 132, 157, 163, 114, 144, 152, 156, 174, 178, 175, 188, 190, 125, 152, 156, 109, 138, 142,
   139, 160, 163, 107, 133, 136, 134, 152, 155, 169, 180, 181, 172, 182, 182, 169, 180, 181, 167, 176, 177, 162, 172, 173, 157, 167, 168, 139, 150, 151, 127, 141, 141, 142, 153, 154, 117, 131, 132, 102, 117, 118,  61,  79,  80,  54,  72,  75,  51,  68,  73,  56,  72,  79,  64,  82,  89,  67,  84,  90,  69,  85,  91,
    57,  70,  76,  41,  55,  59,  47,  60,  62,  39,  53,  55,  51,  63,  69, 123, 130, 134, 114, 119, 127,  31,  41,  53,  55,  66,  74,  56,  68,  74,  57,  69,  75,  54,  68,  75,  25,  38,  45,  71,  85,  90, 130, 138, 141, 126, 133, 136, 128, 135, 139,  76,  84,  91,  38,  50,  57,  60,  74,  82,  55,  70,  76,
    65,  81,  87,  70,  85,  90,  73,  91,  97,  72,  91,  97,  84, 103, 108,  82, 101, 106,  87, 106, 111,  76,  98,  99, 100, 119, 122,  90, 111, 114,  93, 114, 118,  67,  91,  96,  64,  89,  95,  85, 108, 114,  90, 112, 117,  87, 111, 115,  80, 105, 111, 101, 124, 130, 108, 131, 137, 114, 136, 144, 108, 133, 140,
    96, 124, 131, 100, 130, 137, 128, 150, 158, 126, 149, 157, 114, 141, 148, 125, 150, 156, 121, 147, 154, 131, 155, 161, 114, 145, 150, 135, 159, 165, 142, 166, 170, 155, 176, 178, 158, 178, 181, 161, 180, 183, 168, 185, 189, 169, 187, 190, 174, 191, 193, 168, 186, 189, 189, 202, 203, 180, 196, 199, 170, 189, 192,
   186, 200, 203, 182, 198, 200, 178, 197, 198, 200, 213, 215, 206, 216, 219, 199, 212, 214, 196, 211, 213, 202, 215, 216, 203, 215, 217, 206, 217, 218, 210, 220, 220, 213, 223, 223, 220, 227, 226, 219, 227, 226, 222, 230, 229, 227, 233, 232, 224, 231, 230, 223, 230, 229, 224, 231, 230, 220, 228, 227, 222, 229, 228,
   215, 224, 222, 213, 223, 220, 219, 227, 225, 216, 224, 223, 213, 222, 221, 215, 224, 221, 215, 223, 220, 218, 227, 224, 218, 227, 224, 217, 226, 223, 214, 223, 220, 215, 224, 221, 217, 226, 223, 216, 225, 222, 219, 228, 225, 218, 226, 223, 220, 228, 225, 222, 230, 227, 222, 230, 227, 225, 232, 229, 226, 233, 230,
   214, 226, 229, 211, 226, 229, 212, 225, 228, 210, 225, 228, 210, 225, 229, 209, 224, 228, 210, 223, 228, 209, 223, 227, 207, 222, 225, 208, 223, 226, 208, 222, 227, 206, 221, 225, 206, 220, 226, 205, 219, 225, 205, 219, 225, 203, 218, 224, 202, 218, 224, 200, 217, 223, 199, 215, 221, 198, 215, 220, 195, 212, 219,
   193, 211, 218, 192, 210, 217, 191, 209, 216, 189, 207, 214, 188, 207, 214, 187, 206, 213, 187, 206, 214, 186, 205, 213, 184, 203, 211, 182, 201, 209, 179, 199, 207, 177, 198, 206, 176, 196, 208, 173, 195, 206, 173, 195, 206, 172, 193, 204, 171, 192, 203, 168, 190, 201, 165, 187, 198, 164, 186, 198, 160, 183, 195,
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   216, 223, 222, 219, 227, 226, 217, 226, 223, 209, 220, 217, 204, 216, 211, 214, 222, 220, 219, 226, 223, 216, 224, 221, 218, 226, 223, 219, 226, 223, 220, 227, 224, 218, 226, 223, 218, 227, 224, 217, 226, 223, 219, 228, 225, 221, 229, 226, 221, 229, 226, 225, 232, 229, 225, 232, 229, 225, 232, 230, 226, 234, 232,
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   150, 175, 187, 146, 172, 186, 144, 170, 184, 142, 169, 183, 138, 164, 180, 135, 162, 177, 132, 160, 175, 128, 156, 172, 126, 155, 169, 121, 152, 167, 122, 152, 167, 117, 147, 163, 114, 144, 161, 111, 141, 158, 109, 139, 158, 108, 138, 157, 109, 138, 158, 107, 136, 155, 103, 133, 152,  98, 130, 149,  97, 128, 147,
    95, 125, 144,  97, 126, 145, 103, 131, 149, 109, 135, 152, 106, 133, 149, 105, 131, 147,  98, 126, 142,  95, 123, 140,  97, 125, 140,  99, 126, 141,  98, 124, 138, 100, 126, 141, 107, 133, 148, 102, 128, 143,  97, 123, 138,  93, 119, 133,  87, 114, 127,  90, 116, 129, 100, 123, 135, 111, 133, 142, 120, 141, 149,
   117, 138, 146, 110, 133, 143, 100, 125, 138,  91, 115, 129,  78, 104, 116,  71,  99, 110,  67,  96, 105,  71, 100, 111,  81, 108, 117,  72, 102, 111,  63,  97, 107,  71, 103, 114,  83, 114, 124,  87, 119, 133,  95, 129, 143, 107, 141, 152, 119, 151, 161, 127, 155, 162, 135, 161, 168, 136, 161, 170, 135, 162, 171,
   138, 164, 173, 130, 158, 166, 123, 150, 158, 122, 146, 152, 110, 133, 139,  92, 116, 122, 112, 133, 138, 106, 124, 130,  99, 117, 123, 123, 139, 145, 105, 122, 127,  88, 107, 111,  85, 103, 105,  86, 101, 104,  70,  84,  87,  70,  83,  85,  62,  72,  73,  64,  73,  74,  65,  73,  75,  52,  61,  65,  57,  66,  72,
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   122, 142, 143, 150, 165, 165, 171, 183, 183, 141, 160, 162, 177, 188, 191, 155, 171, 176, 145, 165, 170, 164, 180, 184, 164, 183, 187, 178, 193, 197, 173, 190, 194, 199, 210, 213, 164, 185, 191, 201, 212, 214, 192, 206, 210, 196, 209, 212, 197, 210, 212, 169, 188, 190, 160, 181, 183, 163, 179, 181, 172, 186, 188,
   155, 172, 174, 190, 199, 199, 197, 204, 204, 156, 170, 170,  93, 112, 112,  81, 104, 107,  85, 110, 113,  92, 114, 118,  98, 120, 126, 107, 128, 132, 109, 131, 132, 112, 135, 136, 134, 149, 151, 102, 120, 122, 112, 127, 127,  74,  91,  94,  65,  83,  86,  69,  86,  90,  58,  76,  84,  56,  74,  82,  43,  62,  71,
    49,  68,  75,  60,  77,  82,  63,  80,  84,  61,  79,  83,  61,  78,  81,  60,  78,  81,  63,  79,  82,  64,  81,  84,  62,  78,  82,  47,  63,  69,  47,  62,  70,  99, 110, 119, 138, 148, 152, 172, 175, 177, 125, 128, 131,  82,  91,  96,  36,  48,  56,  54,  69,  78,  58,  72,  79,  59,  74,  80,  58,  72,  78,
    58,  73,  79,  64,  81,  86,  60,  77,  83,  65,  83,  90,  60,  77,  84,  54,  71,  76, 130, 140, 143, 128, 138, 141,  94, 109, 115,  56,  76,  84,  71,  90,  98,  85, 104, 108,  79,  99, 103,  97, 117, 121, 100, 120, 125, 102, 123, 129,  88, 112, 118,  87, 112, 118,  77, 105, 112,  87, 114, 120,  85, 113, 120,
    92, 118, 126,  88, 118, 126,  99, 126, 135, 123, 146, 153, 134, 155, 162, 131, 153, 160, 134, 156, 162, 149, 168, 174, 148, 168, 172, 124, 151, 157, 137, 162, 166, 157, 176, 178, 159, 178, 180, 162, 181, 182, 166, 184, 187, 165, 185, 189, 167, 187, 190, 191, 203, 206, 176, 194, 197, 183, 198, 201, 173, 193, 196,
   188, 202, 205, 188, 203, 205, 190, 204, 207, 192, 206, 208, 197, 210, 212, 198, 211, 212, 202, 214, 215, 209, 219, 219, 215, 224, 224, 211, 221, 220, 213, 222, 221, 211, 221, 220, 215, 223, 222, 217, 225, 224, 221, 229, 228, 219, 227, 226, 224, 231, 229, 219, 226, 225, 221, 228, 227, 222, 228, 227, 215, 223, 222,
   212, 220, 219, 215, 224, 221, 220, 227, 226, 213, 222, 219, 211, 220, 217, 205, 218, 214, 215, 224, 221, 218, 226, 223, 218, 225, 222, 218, 225, 222, 218, 226, 223, 221, 228, 225, 219, 228, 224, 220, 229, 226, 220, 228, 225, 222, 230, 227, 224, 231, 228, 224, 231, 228, 225, 232, 229, 226, 233, 230, 227, 234, 231,
   215, 227, 231, 214, 226, 230, 214, 226, 230, 214, 226, 230, 214, 226, 230, 213, 225, 229, 212, 226, 229, 211, 224, 228, 212, 224, 228, 212, 224, 228, 210, 225, 228, 211, 223, 227, 211, 224, 228, 210, 223, 228, 207, 222, 227, 206, 221, 226, 204, 219, 225, 203, 218, 224, 201, 216, 222, 199, 215, 221, 199, 215, 221,
   195, 213, 219, 194, 212, 219, 193, 211, 218, 192, 210, 217, 189, 208, 216, 189, 208, 215, 188, 207, 214, 186, 206, 214, 184, 204, 212, 182, 203, 211, 180, 200, 210, 178, 199, 210, 177, 198, 209, 175, 196, 207, 174, 195, 206, 173, 194, 204, 171, 192, 203, 168, 190, 201, 163, 185, 196, 160, 183, 194, 155, 179, 191,
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   120, 149, 159, 129, 156, 164, 131, 155, 164, 119, 146, 155, 106, 135, 144, 130, 151, 158, 114, 134, 139, 101, 119, 124, 109, 123, 129, 119, 130, 135,  90, 105, 109,  80,  96, 100, 101, 116, 120,  92, 106, 108,  64,  80,  82, 100, 110, 113,  72,  85,  86,  50,  64,  66,  72,  83,  86,  63,  74,  78,  74,  82,  89,
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   145, 160, 163, 137, 154, 156, 106, 129, 131, 141, 158, 161, 140, 158, 163, 170, 183, 186, 165, 178, 182, 137, 158, 163, 167, 181, 186, 158, 175, 179, 167, 185, 191, 173, 189, 193, 186, 199, 202, 179, 195, 199, 198, 209, 212, 199, 211, 214, 193, 207, 209, 191, 203, 205, 189, 201, 203, 147, 169, 173, 132, 155, 157,
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    55,  72,  80,  59,  79,  84,  64,  83,  88,  67,  86,  91,  60,  78,  82,  63,  80,  83,  53,  71,  77,  58,  76,  80,  65,  81,  86,  62,  79,  84,  69,  85,  91,  67,  82,  88,  67,  82,  89,  51,  66,  72, 123, 127, 130,  99, 108, 115, 147, 154, 159, 142, 145, 151, 120, 125, 129,  38,  50,  56,  62,  74,  80,
    60,  75,  80,  58,  75,  81,  64,  81,  87,  71,  88,  94,  69,  87,  93,  69,  88,  94,  70,  90,  94,  50,  72,  76,  97, 115, 120, 129, 139, 144, 113, 129, 135,  54,  76,  84,  85, 104, 111,  87, 106, 113,  97, 115, 122,  98, 118, 124,  83, 108, 114,  82, 107, 113, 101, 124, 130,  81, 107, 114,  91, 116, 124,
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   132, 138, 140,  49,  62,  67,  62,  83,  89,  63,  82,  88,  70,  87,  93,  75,  93,  98,  75,  94,  99,  65,  87,  92,  66,  87,  93,  64,  86,  93,  72,  90,  97, 130, 145, 150, 120, 136, 140,  63,  85,  94,  75,  95, 103,  83, 104, 111,  92, 112, 119,  77, 101, 109,  83, 109, 116, 107, 129, 135,  86, 112, 119,
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   185, 201, 203, 188, 203, 204, 195, 208, 209, 190, 205, 206, 208, 218, 219, 205, 215, 216, 205, 216, 216, 203, 214, 214, 211, 221, 220, 217, 225, 224, 211, 221, 219, 213, 222, 220, 212, 222, 220, 217, 225, 224, 221, 228, 226, 220, 227, 225, 218, 226, 224, 221, 228, 227, 219, 227, 225, 221, 228, 226, 220, 226, 223,
   218, 225, 224, 216, 223, 222, 214, 222, 220, 216, 224, 222, 216, 224, 222, 209, 220, 217, 208, 219, 216, 215, 223, 220, 217, 225, 222, 219, 227, 224, 217, 226, 222, 221, 228, 225, 223, 230, 227, 221, 229, 226, 225, 232, 229, 226, 233, 230, 226, 233, 230, 226, 233, 230, 228, 235, 233, 228, 235, 232, 228, 234, 232,
   216, 227, 231, 215, 226, 230, 214, 226, 230, 214, 226, 230, 213, 225, 229, 211, 225, 228, 210, 226, 229, 212, 224, 228, 212, 224, 228, 211, 224, 227, 211, 223, 227, 208, 223, 226, 208, 223, 226, 207, 222, 226, 204, 219, 224, 202, 219, 224, 201, 217, 223, 201, 217, 223, 200, 216, 222, 198, 215, 221, 197, 215, 220,
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   110, 135, 155, 107, 133, 153, 103, 131, 148,  95, 125, 142,  94, 124, 141,  92, 123, 138,  92, 123, 138,  91, 122, 137,  97, 125, 140,  99, 126, 141, 102, 128, 143, 111, 136, 149, 116, 140, 152, 113, 137, 149, 106, 129, 141,  94, 118, 131,  86, 110, 122,  82, 106, 118,  80, 106, 118,  79, 104, 115,  82, 106, 117,
    77, 102, 112,  78, 103, 115,  87, 110, 123,  90, 114, 125,  83, 107, 119,  68,  96, 106,  67,  96, 105,  63,  92, 101,  72,  99, 109,  72, 101, 108,  70,  98, 106,  72, 102, 107,  75, 105, 110,  85, 115, 120,  93, 122, 128, 100, 128, 135, 119, 145, 152, 133, 156, 162, 127, 152, 159, 132, 156, 164, 132, 157, 165,
   134, 159, 165, 131, 157, 165, 119, 149, 158, 129, 155, 164, 131, 155, 164, 113, 136, 143, 107, 124, 130, 100, 117, 121,  97, 111, 115,  81,  97, 102,  91, 106, 109,  81,  99, 102,  98, 113, 115,  87, 103, 106,  77,  91,  94,  81,  94,  96,  80,  94,  96,  71,  85,  88,  60,  71,  75,  49,  61,  65,  30,  42,  47,
    41,  55,  61,  58,  71,  77,  43,  58,  65,  84,  97, 100,  75,  89,  91, 106, 118, 119,  77,  90,  92, 107, 118, 121,  78,  91,  94, 129, 139, 139,  82,  97,  99, 125, 137, 140, 113, 125, 127, 126, 137, 139, 100, 115, 118, 147, 158, 160, 156, 166, 168, 156, 167, 169, 167, 176, 178, 130, 146, 150, 127, 143, 146,
   135, 151, 154, 170, 181, 182, 126, 144, 147,  82, 103, 106, 126, 144, 147, 119, 139, 144,  70,  98, 105, 105, 129, 134,  93, 118, 124, 111, 135, 141, 119, 144, 150, 132, 153, 159, 147, 167, 172, 166, 183, 187, 168, 186, 191, 186, 199, 202, 169, 185, 188, 197, 207, 208, 190, 202, 202, 173, 187, 188, 159, 174, 177,
   129, 146, 149, 120, 136, 139, 102, 120, 120, 111, 129, 127,  89, 111, 108, 145, 158, 157, 190, 197, 195, 133, 149, 147,  72,  96,  94, 136, 152, 151, 180, 188, 188, 128, 140, 141,  47,  63,  67, 125, 136, 139,  90, 105, 109,  67,  83,  88,  71,  87,  91,  74,  88,  92,  60,  76,  81,  64,  79,  84,  76,  91,  95,
    61,  79,  84,  65,  84,  89,  69,  88,  93,  74,  93,  95,  69,  87,  90,  62,  81,  84,  56,  75,  81,  59,  77,  81,  52,  72,  77,  50,  69,  75,  61,  78,  86,  57,  77,  85,  54,  75,  82,  60,  79,  87,  61,  78,  85,  66,  82,  89,  92, 106, 114, 106, 113, 119,  64,  76,  85,  71,  85,  91,  58,  76,  82,
    62,  82,  87, 135, 147, 151, 142, 148, 150, 123, 130, 133,  43,  60,  68,  82, 100, 107,  79,  98, 103,  67,  88,  93,  76,  96, 101,  65,  88,  94,  69,  91,  97,  79,  99, 106,  64,  85,  93, 132, 146, 151, 123, 137, 143,  68,  90,  98,  82, 102, 111,  80, 104, 112,  85, 108, 116,  79, 106, 113,  97, 121, 128,
    93, 117, 124,  99, 124, 130,  93, 122, 127, 110, 137, 142, 124, 147, 152, 132, 154, 160, 144, 164, 168, 136, 159, 161, 138, 162, 163, 151, 171, 173, 161, 180, 182, 163, 182, 183, 158, 179, 181, 164, 183, 185, 189, 202, 204, 182, 197, 198, 188, 202, 202, 188, 202, 203, 186, 202, 203, 199, 210, 211, 198, 210, 210,
   195, 208, 209, 187, 201, 202, 193, 207, 206, 201, 212, 212, 201, 212, 212, 209, 219, 219, 209, 218, 218, 204, 215, 214, 209, 219, 217, 216, 224, 223, 220, 227, 226, 207, 217, 215, 213, 222, 221, 217, 225, 225, 223, 229, 227, 220, 228, 226, 219, 227, 224, 216, 224, 223, 220, 227, 224, 219, 227, 224, 221, 227, 224,
   223, 229, 229, 218, 225, 222, 214, 223, 220, 215, 224, 221, 212, 222, 220, 214, 222, 221, 210, 220, 217, 212, 221, 218, 217, 226, 223, 219, 226, 223, 222, 229, 226, 219, 228, 225, 223, 230, 227, 224, 230, 227, 225, 232, 229, 227, 234, 231, 226, 233, 230, 228, 234, 231, 230, 236, 233, 230, 236, 233, 231, 236, 234,
   216, 227, 231, 216, 227, 231, 214, 226, 230, 214, 226, 230, 213, 226, 230, 212, 225, 229, 212, 224, 228, 213, 225, 229, 212, 224, 228, 210, 223, 227, 208, 224, 227, 208, 223, 226, 206, 221, 225, 204, 219, 225, 203, 219, 225, 201, 217, 223, 200, 216, 222, 200, 216, 222, 198, 216, 221, 197, 215, 220, 196, 214, 219,
   194, 212, 219, 192, 210, 217, 192, 210, 218, 190, 209, 217, 187, 207, 215, 185, 206, 214, 184, 205, 213, 183, 204, 212, 182, 203, 211, 182, 202, 210, 180, 201, 209, 179, 199, 208, 179, 199, 208, 177, 197, 208, 174, 195, 206, 171, 193, 204, 166, 189, 199, 161, 185, 196, 155, 180, 191, 151, 177, 188, 143, 170, 183,
   135, 164, 178, 131, 161, 175, 130, 160, 174, 125, 156, 171, 124, 155, 170, 122, 152, 167, 120, 151, 166, 118, 150, 165, 115, 147, 162, 117, 147, 164, 115, 145, 162, 111, 142, 161, 109, 140, 159, 111, 141, 158, 113, 142, 159, 115, 143, 160, 112, 140, 157, 112, 140, 157, 112, 139, 158, 113, 138, 158, 111, 136, 156,
   106, 132, 152, 102, 129, 149,  99, 127, 146,  96, 125, 143,  94, 125, 141,  94, 124, 139,  92, 122, 137, 101, 129, 144, 112, 139, 153, 116, 141, 156, 114, 140, 152, 111, 136, 149, 100, 127, 140,  94, 117, 132,  87, 112, 126,  81, 106, 119,  79, 105, 117,  81, 105, 117,  80, 105, 117,  82, 106, 118,  81, 104, 116,
    80, 103, 115,  90, 114, 124,  85, 108, 121,  76, 101, 113,  72,  99, 109,  68,  95, 105,  69,  96, 106,  73, 100, 108,  71,  99, 107,  73, 101, 108,  69,  98, 105,  75, 104, 110,  77, 107, 113,  85, 113, 119,  96, 123, 131, 115, 139, 146, 116, 142, 150, 117, 144, 151, 131, 155, 161, 133, 157, 166, 134, 159, 166,
   136, 160, 167, 124, 153, 159, 129, 155, 162, 137, 160, 168, 127, 152, 161, 122, 143, 148, 108, 125, 131,  99, 117, 121,  87, 106, 109,  86, 105, 110,  88, 106, 112,  88, 106, 109,  93, 109, 113,  88, 103, 106,  79,  94,  97,  85,  98, 101,  66,  82,  84,  75,  88,  90,  47,  60,  64,  55,  66,  70,  17,  32,  37,
    75,  85,  91,  30,  49,  56,  52,  69,  75,  76,  91,  94,  39,  57,  60,  75,  88,  90,  75,  88,  90, 103, 115, 117,  79,  91,  93, 106, 116, 116, 106, 118, 119,  83,  97, 100, 109, 121, 123,  98, 111, 113, 124, 134, 136, 101, 116, 118, 103, 117, 121, 165, 173, 174, 150, 160, 162, 165, 173, 175, 172, 180, 181,
   138, 152, 153, 151, 164, 166, 195, 201, 201, 121, 137, 140,  92, 115, 120, 170, 181, 183, 113, 134, 140,  90, 116, 122, 137, 154, 159,  69,  98, 105, 109, 133, 140,  96, 123, 129, 116, 140, 145, 140, 160, 165, 148, 169, 173, 169, 185, 188, 167, 184, 186, 160, 178, 180, 174, 188, 188, 211, 217, 217, 151, 168, 169,
   143, 157, 158, 118, 134, 136,  95, 113, 114, 126, 140, 141,  87, 105, 103,  83, 103, 102,  72,  96,  94, 136, 151, 151, 193, 199, 199, 149, 162, 161,  50,  71,  72, 141, 152, 152, 169, 177, 180, 132, 141, 142,  49,  62,  66,  84,  96, 102,  64,  79,  83,  57,  74,  78,  62,  78,  84,  62,  77,  83,  68,  82,  88,
    71,  88,  92,  66,  84,  89,  75,  93,  97,  71,  89,  92,  69,  87,  89,  64,  82,  87,  66,  83,  88,  56,  76,  81,  56,  75,  80,  58,  77,  83,  55,  75,  82,  64,  84,  91,  64,  84,  92,  66,  87,  93,  69,  89,  94,  67,  87,  92,  77,  96,  99,  84, 101, 105, 130, 141, 143,  65,  83,  88,  70,  89,  93,
    72,  92,  97,  71,  93,  97,  56,  78,  84,  76,  95, 100, 152, 162, 164, 137, 146, 151,  75,  93,  98,  68,  88,  95,  73,  94, 100,  74,  95, 101,  72,  93,  99,  76,  96, 103,  79, 100, 106,  76,  97, 105,  67,  91,  99, 126, 142, 149, 126, 143, 149,  65,  91,  99,  93, 116, 124,  94, 117, 124,  92, 116, 123,
   111, 132, 139,  98, 124, 131,  98, 127, 132, 112, 139, 143, 117, 143, 148, 135, 156, 161, 144, 163, 167, 147, 167, 170, 136, 160, 162, 155, 174, 176, 166, 182, 184, 170, 187, 188, 164, 182, 183, 172, 188, 190, 180, 195, 195, 193, 206, 206, 189, 203, 205, 193, 206, 208, 192, 205, 207, 199, 211, 212, 195, 208, 207,
   203, 213, 213, 200, 211, 212, 193, 206, 206, 197, 209, 208, 202, 213, 212, 204, 215, 214, 209, 219, 217, 208, 218, 216, 206, 217, 215, 213, 221, 221, 222, 228, 227, 214, 222, 221, 210, 220, 218, 215, 224, 222, 219, 228, 225, 221, 228, 225, 221, 228, 225, 219, 226, 223, 216, 225, 222, 220, 227, 224, 218, 226, 223,
   220, 227, 224, 218, 226, 223, 216, 225, 222, 215, 224, 221, 214, 223, 221, 209, 221, 219, 214, 224, 221, 210, 221, 218, 214, 223, 220, 219, 226, 224, 220, 227, 225, 222, 229, 226, 223, 230, 227, 224, 231, 228, 226, 232, 229, 226, 233, 230, 227, 234, 231, 227, 234, 231, 230, 235, 233, 230, 235, 233, 232, 237, 235,
   215, 227, 229, 216, 228, 230, 214, 226, 230, 214, 226, 230, 213, 225, 229, 213, 225, 229, 213, 225, 229, 213, 224, 228, 209, 225, 228, 209, 224, 227, 208, 222, 225, 205, 221, 225, 206, 219, 226, 204, 219, 225, 201, 217, 223, 200, 216, 222, 200, 217, 222, 199, 216, 222, 197, 214, 220, 196, 213, 219, 195, 213, 220,
   194, 212, 219, 192, 210, 217, 192, 209, 217, 190, 209, 217, 189, 208, 216, 184, 205, 213, 185, 206, 214, 183, 204, 212, 183, 203, 211, 181, 202, 210, 181, 201, 209, 180, 201, 209, 179, 200, 208, 175, 197, 206, 172, 194, 205, 170, 191, 202, 164, 188, 198, 157, 182, 193, 150, 177, 188, 144, 172, 183, 138, 167, 180,
   134, 163, 178, 130, 159, 174, 124, 156, 171, 125, 156, 171, 120, 152, 167, 122, 152, 167, 119, 150, 165, 117, 148, 163, 115, 148, 163, 116, 146, 163, 113, 143, 160, 112, 143, 159, 113, 143, 159, 115, 144, 161, 115, 143, 160, 114, 142, 159, 111, 139, 156, 113, 140, 157, 116, 141, 160, 113, 139, 158, 105, 132, 152,
   101, 130, 149,  97, 127, 147, 100, 128, 148,  99, 127, 144,  96, 125, 142,  99, 128, 143, 116, 143, 157, 123, 147, 160, 114, 140, 155, 107, 133, 148, 100, 126, 140,  90, 116, 130,  87, 113, 127,  82, 108, 122,  81, 106, 121,  81, 106, 117,  80, 104, 116,  81, 104, 116,  81, 105, 117,  81, 104, 116,  84, 106, 118,
    91, 113, 125,  81, 104, 117,  76, 100, 112,  71,  98, 108,  69,  95, 105,  71,  97, 107,  73,  99, 110,  74, 101, 108,  69,  97, 105,  70,  99, 106,  72, 101, 108,  74, 102, 110,  87, 114, 122, 104, 129, 136, 111, 135, 142,  97, 125, 134, 105, 133, 143, 120, 146, 154, 123, 149, 158, 140, 164, 172, 138, 161, 170,
   124, 153, 160, 125, 153, 160, 138, 162, 168, 135, 158, 164, 125, 151, 156, 122, 145, 151, 115, 139, 145, 108, 130, 134,  93, 114, 117, 107, 125, 129,  93, 111, 115, 101, 117, 120, 100, 116, 119,  82,  99, 103,  77,  93,  95,  80,  95,  97,  68,  85,  87,  60,  76,  77,  41,  56,  60,  44,  57,  63,  45,  57,  64,
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   176, 181, 182, 153, 163, 164, 150, 163, 165, 162, 174, 176, 150, 163, 165, 129, 146, 151, 173, 184, 186, 103, 127, 132, 102, 127, 133, 178, 189, 191,  92, 119, 126, 105, 129, 136,  92, 120, 125,  96, 124, 130, 119, 143, 147, 162, 178, 180, 164, 178, 181, 144, 163, 166, 134, 155, 157, 137, 157, 157, 211, 217, 217,
   110, 129, 128, 129, 142, 144,  95, 111, 112,  76,  92,  95, 102, 117, 119,  87, 103, 106,  95, 112, 116,  73,  94,  98,  67,  89,  93, 126, 138, 141, 198, 203, 204, 132, 141, 141,  71,  82,  81,  65,  78,  79, 156, 165, 168, 153, 160, 162,  72,  83,  89,  57,  69,  75,  67,  80,  83,  64,  79,  82,  68,  83,  88,
    69,  84,  90,  66,  83,  88,  62,  81,  83,  64,  82,  85,  70,  88,  91,  59,  77,  83,  66,  83,  89,  60,  79,  84,  68,  86,  91,  60,  79,  86,  60,  81,  88,  62,  83,  90,  65,  85,  92,  69,  88,  95,  74,  94,  99,  73,  94,  99,  82, 101, 105,  86, 103, 106,  78,  95,  99, 144, 151, 154,  63,  83,  88,
    67,  88,  93,  69,  90,  95,  77,  97, 101,  71,  93,  97,  78,  99, 103,  53,  75,  79, 134, 148, 151, 147, 156, 160, 101, 115, 118,  62,  80,  87,  80,  99, 104,  77,  98, 103,  83, 103, 110,  84, 105, 113,  81, 104, 113,  75, 100, 108,  77, 101, 108, 139, 154, 160, 107, 128, 134,  96, 119, 127,  99, 122, 129,
    99, 122, 129, 111, 135, 141, 118, 143, 148, 117, 142, 147, 117, 143, 148, 145, 164, 168, 121, 147, 152, 155, 172, 175, 151, 169, 172, 152, 172, 172, 170, 185, 185, 165, 183, 184, 173, 188, 190, 172, 188, 187, 181, 196, 195, 186, 202, 200, 195, 207, 210, 193, 206, 208, 200, 211, 212, 189, 203, 203, 202, 212, 212,
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   220, 226, 226, 220, 228, 224, 215, 224, 221, 214, 223, 220, 215, 224, 221, 211, 221, 220, 210, 221, 218, 213, 222, 221, 211, 221, 219, 217, 225, 224, 219, 227, 225, 222, 228, 225, 223, 230, 227, 225, 232, 229, 226, 232, 230, 226, 233, 229, 227, 234, 231, 228, 235, 232, 230, 235, 233, 230, 235, 233, 231, 236, 234,
   215, 227, 229, 214, 226, 230, 214, 226, 230, 215, 226, 230, 213, 225, 229, 213, 225, 229, 212, 224, 228, 209, 224, 227, 208, 223, 226, 208, 223, 226, 206, 222, 226, 206, 219, 226, 205, 219, 225, 201, 217, 223, 200, 216, 222, 200, 216, 222, 199, 215, 222, 195, 214, 220, 195, 213, 220, 194, 212, 219, 192, 210, 217,
   193, 211, 218, 191, 210, 217, 191, 210, 216, 189, 208, 216, 188, 208, 216, 186, 207, 215, 185, 205, 213, 183, 204, 212, 183, 204, 212, 184, 203, 211, 181, 202, 210, 180, 200, 208, 177, 198, 206, 172, 195, 205, 171, 193, 204, 165, 189, 199, 160, 186, 196, 154, 180, 192, 149, 176, 188, 142, 170, 183, 136, 164, 178,
   132, 161, 175, 127, 159, 174, 123, 155, 170, 122, 153, 168, 119, 150, 165, 119, 150, 165, 118, 149, 164, 116, 147, 162, 116, 147, 163, 116, 146, 163, 116, 145, 162, 117, 144, 161, 115, 143, 160, 116, 146, 160, 115, 143, 159, 115, 142, 159, 116, 142, 159, 116, 142, 159, 112, 139, 156, 104, 132, 152,  99, 130, 148,
   100, 129, 148,  98, 127, 147, 101, 129, 148, 103, 131, 148, 113, 139, 155, 124, 148, 163, 121, 147, 161, 111, 137, 151,  97, 124, 139,  90, 117, 133,  86, 111, 127,  83, 109, 123,  83, 108, 122,  81, 105, 119,  80, 104, 117,  79, 103, 115,  76, 100, 112,  81, 105, 117,  78, 102, 114,  86, 108, 120,  88, 112, 123,
    80, 104, 115,  72,  98, 109,  66,  93, 103,  68,  95, 105,  73,  99, 109,  72,  98, 108,  73,  98, 108,  70,  98, 106,  70,  98, 106,  69,  98, 105,  72, 100, 109,  97, 122, 132, 113, 135, 142, 100, 127, 133,  84, 113, 120,  98, 126, 135, 113, 141, 149, 110, 139, 150, 139, 161, 169, 142, 164, 171, 120, 150, 158,
   125, 152, 160, 130, 154, 160, 127, 152, 158, 130, 154, 159, 121, 146, 152, 120, 144, 149, 117, 140, 146, 116, 136, 141, 109, 129, 131, 112, 130, 134,  95, 113, 117,  97, 114, 119,  94, 110, 116,  78,  96, 101,  82,  99, 102,  77,  94,  96,  72,  89,  90,  71,  87,  88,  50,  66,  72,  54,  69,  76,  76,  90,  95,
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   122, 134, 136, 146, 156, 156, 176, 181, 183, 188, 194, 196, 154, 164, 168, 119, 138, 142, 146, 161, 165, 164, 177, 180, 151, 166, 170, 100, 126, 132, 156, 170, 173, 121, 141, 146,  89, 117, 122, 109, 134, 140, 134, 154, 158, 108, 134, 138, 179, 189, 190, 154, 168, 170, 145, 161, 163,  88, 113, 112, 109, 127, 122,
   188, 198, 193,  98, 112, 114,  84, 100, 101,  68,  86,  88,  98, 112, 114,  69,  87,  90,  57,  78,  82,  84, 100, 105,  99, 114, 117,  77,  94,  97,  78,  96,  98, 109, 122, 121, 176, 182, 181, 128, 135, 136,  53,  66,  69,  53,  63,  69, 130, 138, 142, 168, 172, 174, 108, 117, 122,  52,  64,  72,  72,  83,  89,
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    63,  82,  87,  70,  91,  96,  75,  96,  99,  80, 101, 103,  72,  94,  96,  77,  99, 101,  80, 101, 103,  66,  86,  92, 107, 122, 126, 158, 164, 168, 123, 131, 138,  66,  86,  93,  80, 100, 106,  90, 110, 117,  83, 106, 114,  91, 113, 119,  82, 106, 111,  93, 116, 121,  95, 119, 124, 151, 164, 170, 115, 134, 142,
   106, 128, 134,  98, 125, 130, 122, 146, 150, 127, 150, 154, 135, 156, 161, 140, 159, 164, 129, 152, 157, 140, 161, 166, 156, 174, 175, 151, 171, 172, 172, 187, 187, 170, 186, 187, 181, 195, 195, 170, 186, 186, 185, 199, 198, 180, 197, 196, 192, 206, 205, 195, 208, 208, 205, 215, 216, 203, 214, 213, 195, 208, 208,
   203, 212, 213, 198, 210, 209, 203, 213, 213, 202, 213, 211, 199, 211, 209, 203, 215, 213, 207, 219, 216, 206, 217, 216, 212, 221, 220, 212, 220, 219, 211, 220, 218, 224, 230, 229, 218, 225, 224, 208, 218, 217, 214, 222, 221, 219, 227, 224, 222, 229, 226, 224, 230, 227, 218, 226, 223, 213, 222, 220, 214, 223, 220,
   217, 225, 222, 222, 228, 225, 216, 224, 223, 217, 225, 222, 219, 225, 222, 213, 223, 220, 210, 221, 218, 211, 222, 219, 216, 224, 223, 213, 222, 220, 217, 226, 223, 218, 226, 224, 222, 229, 226, 224, 230, 227, 227, 232, 230, 227, 233, 231, 229, 235, 232, 229, 236, 233, 230, 235, 233, 231, 236, 234, 232, 237, 235,
   215, 227, 229, 214, 225, 230, 213, 225, 229, 214, 225, 229, 212, 224, 228, 213, 224, 229, 210, 225, 228, 209, 224, 227, 207, 222, 225, 207, 222, 225, 206, 220, 226, 203, 218, 224, 204, 218, 224, 200, 217, 223, 200, 216, 222, 198, 215, 221, 195, 213, 220, 194, 212, 219, 192, 210, 217, 190, 210, 217, 191, 210, 217,
   191, 210, 217, 190, 209, 216, 190, 209, 217, 190, 209, 217, 189, 208, 215, 188, 207, 214, 186, 205, 212, 187, 205, 212, 185, 204, 212, 183, 203, 211, 182, 202, 210, 180, 201, 209, 176, 197, 207, 174, 195, 206, 169, 191, 202, 164, 188, 199, 158, 183, 195, 153, 180, 191, 147, 174, 185, 141, 169, 182, 138, 166, 180,
   130, 161, 175, 125, 156, 171, 122, 154, 169, 121, 152, 167, 119, 150, 165, 118, 149, 164, 119, 149, 164, 120, 150, 165, 119, 148, 164, 117, 147, 164, 119, 147, 163, 116, 145, 161, 119, 145, 162, 117, 144, 160, 117, 144, 160, 115, 143, 159, 116, 143, 159, 113, 141, 158, 107, 136, 153, 103, 133, 152,  97, 128, 147,
   100, 128, 148, 102, 131, 149, 111, 137, 155, 119, 144, 160, 126, 149, 165, 117, 142, 158, 104, 131, 146,  94, 121, 136,  90, 117, 133,  88, 114, 128,  85, 110, 126,  82, 108, 122,  78, 104, 118,  75, 101, 115,  77, 102, 115,  76, 100, 112,  77, 101, 113,  76, 100, 112,  85, 108, 120,  84, 106, 118,  75,  99, 110,
    69,  95, 105,  66,  92, 103,  67,  93, 103,  68,  93, 103,  76,  99, 109,  72,  98, 108,  69,  95, 105,  75, 100, 109,  68,  95, 104,  84, 110, 118, 106, 128, 137, 108, 130, 141,  92, 120, 127,  77, 108, 113,  94, 122, 129, 101, 129, 136, 102, 131, 142, 139, 160, 168, 134, 157, 167, 112, 143, 152, 122, 149, 158,
   129, 155, 161, 135, 157, 163, 131, 154, 160, 125, 148, 154, 122, 146, 151, 123, 146, 151, 114, 139, 144, 116, 137, 142, 113, 134, 137, 109, 129, 133, 107, 126, 133, 102, 120, 126, 106, 122, 127,  97, 113, 117,  92, 109, 112,  85, 101, 103,  87, 102, 104,  72,  88,  94,  74,  90,  97,  77,  93,  99,  78,  93,  99,
    74,  90,  96,  73,  89,  95,  75,  90,  96,  73,  88,  94,  70,  85,  89,  46,  64,  67,  87, 100, 102,  61,  75,  76,  63,  76,  77,  84,  93,  93,  56,  67,  70,  58,  69,  73,  79,  89,  93,  60,  73,  74,  91, 101, 102,  93, 103, 106,  65,  79,  81, 108, 122, 125,  94, 110, 112, 109, 123, 126,  96, 111, 113,
    83, 100, 101,  86, 101, 104, 110, 123, 126, 166, 174, 177, 166, 176, 178, 168, 176, 179, 139, 153, 157, 133, 153, 157, 164, 177, 181, 134, 154, 157, 148, 163, 166, 174, 184, 186, 136, 152, 155, 107, 129, 132, 112, 133, 137, 155, 167, 169, 116, 136, 138, 171, 180, 182, 146, 158, 161, 118, 134, 134, 112, 128, 128,
    62,  81,  81, 182, 189, 190,  93, 106, 107,  66,  83,  86,  84,  99, 102,  76,  91,  94,  73,  90,  92,  65,  82,  88,  62,  81,  86,  79,  95, 100,  75,  92,  94,  80,  96,  98,  73,  90,  91,  93, 109, 109, 179, 184, 186, 116, 125, 127,  58,  72,  77,  53,  66,  73,  94, 106, 111, 166, 173, 176, 130, 139, 142,
    58,  72,  77,  71,  84,  88,  70,  85,  89,  73,  90,  94,  66,  84,  90,  65,  83,  88,  62,  81,  86,  69,  87,  93,  70,  89,  92,  70,  90,  93,  73,  92,  98,  75,  94,  99,  69,  89,  94,  81, 100, 105,  72,  92,  97,  75,  95, 101,  75,  95, 100,  74,  94,  96,  82, 101, 104,  76,  94,  97,  70,  88,  93,
   146, 157, 160,  68,  87,  91,  85, 103, 108,  77,  98, 100,  81, 102, 105,  78, 101, 103,  76,  99, 102,  80, 101, 106,  85, 104, 110,  76,  95, 102, 103, 114, 122, 160, 170, 173, 122, 136, 142,  81,  99, 106,  86, 107, 113,  91, 113, 119,  91, 113, 120, 101, 122, 126,  95, 118, 123,  90, 114, 122, 144, 158, 164,
   149, 163, 168, 101, 127, 133, 108, 135, 139, 126, 149, 153, 145, 162, 167, 144, 163, 167, 134, 156, 159, 131, 156, 160, 159, 176, 179, 160, 178, 180, 161, 179, 180, 179, 192, 194, 176, 192, 191, 177, 193, 192, 184, 199, 198, 185, 200, 199, 181, 197, 196, 198, 210, 210, 202, 213, 213, 208, 217, 217, 198, 210, 210,
   206, 215, 215, 194, 207, 207, 199, 210, 210, 207, 216, 215, 201, 212, 210, 202, 214, 212, 210, 219, 218, 208, 219, 217, 214, 222, 221, 210, 219, 218, 212, 222, 219, 214, 222, 220, 222, 228, 227, 214, 223, 222, 211, 221, 219, 216, 225, 222, 221, 227, 224, 219, 227, 223, 221, 227, 224, 214, 223, 221, 214, 223, 220,
   213, 222, 219, 219, 228, 224, 219, 226, 223, 218, 225, 222, 216, 225, 222, 215, 224, 221, 212, 223, 220, 210, 221, 218, 213, 222, 221, 214, 223, 221, 212, 222, 219, 216, 224, 221, 220, 227, 224, 221, 229, 224, 226, 232, 228, 228, 233, 232, 230, 235, 233, 229, 236, 233, 230, 235, 233, 230, 235, 233, 231, 236, 234,
   213, 226, 228, 214, 226, 228, 213, 226, 229, 213, 225, 229, 212, 224, 228, 211, 225, 228, 209, 224, 227, 207, 222, 225, 207, 222, 225, 206, 220, 226, 205, 219, 225, 202, 217, 223, 202, 217, 223, 199, 215, 221, 198, 214, 220, 195, 213, 220, 193, 211, 218, 191, 210, 217, 191, 210, 217, 191, 210, 217, 189, 209, 216,
   190, 210, 216, 190, 209, 216, 190, 210, 217, 190, 209, 217, 189, 208, 216, 189, 207, 214, 187, 206, 213, 186, 205, 212, 186, 205, 213, 182, 202, 210, 181, 201, 209, 178, 200, 208, 174, 195, 205, 171, 193, 204, 168, 191, 201, 162, 187, 198, 159, 185, 195, 156, 181, 194, 149, 176, 187, 143, 171, 183, 137, 166, 180,
   131, 161, 176, 124, 156, 171, 121, 153, 168, 121, 152, 167, 121, 151, 166, 123, 152, 167, 121, 150, 165, 121, 150, 165, 121, 149, 166, 119, 147, 164, 119, 147, 164, 121, 147, 163, 119, 145, 161, 116, 144, 159, 117, 144, 160, 115, 143, 159, 112, 140, 157, 109, 139, 156, 106, 135, 152, 101, 131, 150, 103, 132, 152,
   109, 135, 153, 115, 141, 158, 121, 146, 162, 124, 148, 164, 115, 141, 157, 101, 130, 146,  91, 121, 136,  91, 120, 135,  87, 113, 129,  84, 110, 125,  82, 107, 122,  75, 101, 115,  75, 100, 114,  71,  97, 111,  72,  97, 111,  71,  97, 109,  74,  99, 110,  82, 107, 118,  79, 103, 115,  70,  94, 106,  67,  92, 103,
    70,  95, 105,  67,  92, 102,  72,  95, 105,  71,  95, 104,  71,  96, 107,  72,  97, 106,  71,  95, 106,  74,  99, 109,  90, 114, 123, 113, 133, 142, 102, 125, 133,  86, 113, 123,  72, 104, 111,  93, 121, 128,  87, 117, 124, 112, 137, 145, 142, 161, 168, 124, 149, 160, 103, 134, 145, 111, 141, 150, 117, 146, 154,
   133, 157, 163, 131, 154, 161, 129, 151, 157, 124, 146, 152, 127, 149, 154, 116, 140, 147, 115, 140, 144, 113, 134, 139, 109, 130, 135, 112, 132, 137, 107, 126, 132, 106, 127, 132, 103, 123, 129,  95, 115, 121, 105, 123, 129,  97, 116, 121,  97, 116, 121,  92, 111, 116,  92, 109, 116,  90, 107, 114,  84, 103, 109,
    83, 102, 107,  81,  99, 105,  74,  89,  95,  80,  94, 100,  68,  82,  89,  88, 100, 106,  56,  72,  78,  63,  78,  81,  57,  71,  72,  76,  86,  87,  63,  74,  76,  54,  65,  70,  78,  88,  92,  52,  64,  69,  58,  70,  75,  68,  80,  83,  45,  61,  64,  87, 100, 102, 113, 125, 128,  97, 111, 112, 105, 118, 120,
    99, 113, 114,  93, 107, 110,  52,  69,  74, 137, 148, 152, 108, 125, 130, 166, 175, 178, 124, 139, 144, 164, 172, 175,  95, 115, 120, 188, 194, 195, 135, 150, 151, 186, 194, 193, 139, 154, 155,  90, 111, 112, 127, 144, 146, 121, 138, 139, 150, 163, 163, 124, 140, 142, 152, 163, 166, 114, 128, 132,  97, 112, 116,
    76,  92,  96,  66,  83,  86, 126, 137, 139, 151, 159, 160,  63,  80,  82,  59,  76,  78,  66,  82,  85,  68,  84,  87,  64,  81,  87,  71,  89,  94,  73,  91,  94,  63,  82,  85,  69,  87,  89,  77,  94,  98,  63,  80,  83, 104, 119, 120, 177, 183, 182,  97, 112, 109,  64,  78,  82,  61,  76,  81,  82,  94,  99,
   162, 169, 171, 152, 160, 163,  71,  82,  85,  81,  94,  98,  68,  84,  89,  73,  89,  95,  74,  91,  94,  72,  91,  95,  78,  97, 100,  77,  97, 100,  78,  97, 102,  80,  99, 104,  81, 100, 105,  72,  92,  98,  76,  96, 101,  68,  89,  95,  71,  91,  96,  80, 101, 104,  73,  96,  98,  74,  95,  99,  87, 106, 109,
    72,  93,  98, 136, 151, 153,  84, 105, 108,  80, 102, 106,  85, 107, 111,  77, 100, 103,  81, 104, 108,  83, 105, 110,  89, 109, 114,  85, 106, 112,  90, 109, 116,  79,  98, 107, 108, 124, 131, 165, 174, 178, 113, 130, 136,  96, 116, 123,  97, 118, 124,  95, 117, 121, 107, 129, 132, 102, 126, 130, 103, 126, 132,
   126, 144, 150, 161, 174, 177, 105, 132, 136, 126, 149, 152, 148, 165, 167, 160, 174, 177, 142, 162, 165, 134, 159, 162, 145, 167, 169, 166, 183, 184, 164, 182, 183, 166, 183, 184, 178, 192, 192, 172, 189, 188, 175, 191, 190, 191, 204, 203, 179, 195, 194, 187, 201, 200, 201, 211, 212, 210, 219, 218, 207, 217, 215,
   202, 213, 211, 202, 213, 211, 191, 204, 204, 205, 215, 213, 209, 217, 216, 204, 214, 212, 203, 214, 213, 212, 221, 219, 210, 219, 216, 213, 221, 219, 215, 223, 221, 210, 219, 216, 220, 227, 225, 219, 227, 225, 212, 221, 218, 215, 224, 221, 219, 226, 223, 220, 226, 224, 217, 224, 221, 216, 224, 221, 212, 221, 218,
   213, 222, 219, 211, 220, 217, 222, 228, 226, 216, 224, 221, 218, 226, 223, 216, 225, 222, 212, 223, 220, 213, 223, 219, 212, 222, 220, 213, 223, 221, 211, 222, 220, 213, 224, 221, 216, 225, 222, 219, 227, 224, 223, 229, 227, 225, 231, 229, 228, 234, 232, 231, 236, 234, 230, 235, 233, 230, 235, 233, 231, 236, 234,
   212, 225, 229, 212, 225, 228, 212, 225, 229, 213, 225, 229, 211, 224, 228, 209, 224, 227, 208, 223, 226, 207, 222, 225, 206, 221, 224, 205, 219, 225, 204, 218, 224, 202, 217, 223, 200, 216, 222, 198, 214, 220, 195, 213, 220, 194, 212, 219, 192, 210, 217, 191, 210, 217, 190, 209, 216, 190, 209, 216, 190, 209, 216,
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    92, 114, 119,  91, 111, 115,  90, 109, 114,  90, 109, 114,  84, 101, 107,  83,  99, 106,  76,  92,  99,  75,  89,  96,  80,  93,  99,  68,  81,  87,  73,  84,  89,  68,  79,  86,  63,  74,  81,  66,  77,  84,  56,  67,  74,  46,  60,  64,  45,  58,  62,  58,  70,  74,  75,  87,  89,  73,  85,  88, 109, 119, 122,
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   115, 138, 140, 132, 150, 154, 135, 154, 158, 141, 161, 164, 160, 175, 176, 165, 178, 180, 165, 179, 181, 151, 171, 174, 152, 172, 174, 172, 186, 189, 167, 183, 185, 181, 194, 193, 183, 195, 195, 180, 193, 193, 179, 193, 195, 180, 193, 195, 189, 201, 201, 183, 197, 196, 197, 209, 208, 195, 208, 206, 208, 216, 215,
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   118, 145, 152, 128, 151, 158, 129, 151, 157, 123, 146, 153, 128, 149, 156, 126, 148, 154, 121, 144, 150, 117, 139, 144, 112, 133, 138, 109, 129, 134, 103, 124, 130, 103, 123, 129, 102, 122, 129, 102, 123, 129,  95, 117, 123,  92, 114, 120,  90, 112, 118, 106, 125, 132,  99, 119, 127,  90, 112, 119,  88, 110, 117,
    88, 111, 116,  97, 118, 123,  93, 114, 119,  96, 114, 119,  95, 112, 118,  92, 108, 114,  81,  98, 105,  79,  94, 100,  84,  97, 104,  68,  83,  89,  80,  94, 100,  64,  77,  85,  67,  80,  88,  67,  79,  86,  64,  75,  82,  53,  66,  71,  43,  57,  63,  55,  67,  72,  71,  81,  85,  60,  72,  76,  71,  83,  86,
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    59,  77,  77,  83,  99, 100, 137, 147, 147,  78,  96,  96,  74,  91,  92,  60,  79,  81, 132, 143, 144, 164, 173, 173,  57,  74,  76,  77,  93,  95,  78,  95,  97,  78,  95,  99,  77,  96, 100,  70,  90,  95,  71,  90,  94,  73,  92,  97,  65,  85,  89,  76,  96,  99,  73,  92,  96,  70,  91,  92,  67,  88,  88,
   165, 173, 173, 137, 147, 149,  70,  85,  87,  79,  94,  97,  84,  99, 101,  64,  80,  85, 154, 164, 168, 154, 162, 165,  71,  85,  90,  83,  98, 101,  81,  97, 100,  81,  99, 103,  76,  96, 101,  77,  96, 102,  78,  99, 103,  81, 103, 104,  82, 104, 108,  83, 105, 110,  86, 107, 112,  85, 107, 110,  90, 111, 113,
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   114, 138, 140, 122, 144, 146, 153, 169, 172, 137, 158, 161, 147, 163, 165, 182, 192, 193, 165, 179, 181, 160, 176, 178, 157, 175, 178, 175, 188, 190, 176, 189, 191, 173, 188, 187, 183, 195, 195, 180, 192, 194, 181, 194, 196, 179, 193, 195, 184, 197, 199, 179, 195, 194, 191, 204, 203, 201, 212, 210, 194, 207, 205,
   209, 218, 216, 207, 215, 214, 202, 212, 210, 190, 203, 201, 195, 207, 205, 206, 215, 213, 205, 213, 212, 200, 211, 208, 210, 218, 216, 212, 220, 219, 211, 219, 218, 208, 216, 215, 207, 217, 215, 210, 219, 217, 215, 224, 221, 219, 225, 223, 216, 224, 221, 212, 221, 218, 215, 223, 220, 213, 221, 218, 208, 217, 214,
   210, 219, 216, 210, 219, 216, 211, 220, 218, 219, 226, 223, 215, 225, 222, 215, 225, 222, 219, 227, 224, 220, 228, 225, 216, 226, 223, 212, 223, 220, 214, 225, 222, 216, 225, 222, 216, 226, 223, 217, 226, 223, 219, 227, 224, 220, 228, 225, 223, 230, 227, 226, 232, 230, 228, 234, 231, 229, 234, 232, 230, 235, 233,
   211, 223, 227, 210, 223, 227, 210, 224, 227, 207, 223, 226, 208, 223, 225, 207, 222, 226, 206, 220, 226, 203, 218, 224, 203, 218, 224, 200, 216, 222, 199, 215, 221, 198, 214, 220, 198, 214, 220, 196, 212, 218, 194, 212, 219, 193, 211, 218, 193, 211, 218, 193, 211, 218, 193, 211, 218, 192, 210, 217, 192, 210, 217,
   193, 211, 218, 192, 211, 217, 192, 210, 217, 190, 208, 215, 189, 207, 214, 186, 205, 212, 185, 204, 212, 182, 203, 211, 181, 202, 210, 178, 199, 207, 178, 199, 207, 175, 197, 205, 173, 195, 203, 169, 192, 200, 168, 191, 200, 166, 188, 199, 164, 186, 198, 159, 182, 194, 154, 179, 191, 149, 176, 189, 143, 170, 184,
   140, 168, 182, 136, 164, 178, 132, 161, 176, 128, 158, 173, 127, 156, 171, 122, 153, 169, 122, 154, 168, 120, 151, 166, 123, 152, 167, 123, 152, 167, 122, 148, 164, 123, 149, 165, 121, 147, 163, 122, 148, 164, 119, 145, 161, 120, 146, 162, 125, 150, 166, 122, 147, 163, 113, 141, 156, 110, 138, 155, 110, 139, 156,
   106, 134, 151,  96, 127, 145,  96, 126, 144,  93, 123, 140,  90, 120, 137,  87, 116, 133,  85, 113, 130,  83, 109, 125,  75, 104, 119,  73,  99, 114,  64,  93, 107,  63,  91, 105,  76, 103, 117,  80, 106, 120,  73,  99, 113,  69,  93, 108,  68,  92, 107,  69,  92, 106,  69,  92, 107,  70,  93, 108,  70,  94, 106,
    72,  96, 107,  70,  94, 104,  81, 103, 112, 101, 122, 129,  99, 119, 128,  86, 110, 120,  71,  98, 109,  75, 102, 110,  90, 116, 121, 116, 138, 144, 117, 138, 144, 117, 139, 146,  96, 123, 129,  84, 114, 120,  79, 108, 115,  78, 106, 113,  75, 104, 111,  84, 113, 120,  96, 123, 131, 107, 132, 142, 113, 138, 148,
   116, 141, 150, 122, 146, 153, 123, 146, 154, 126, 148, 155, 128, 150, 156, 127, 148, 155, 122, 144, 150, 117, 139, 145, 109, 132, 137, 109, 131, 136, 102, 124, 130, 107, 128, 134, 101, 124, 129, 104, 125, 132,  95, 118, 123,  94, 114, 121,  98, 119, 125,  95, 116, 123,  97, 117, 125,  91, 114, 120,  95, 118, 124,
    97, 119, 125,  95, 118, 123,  93, 113, 119,  94, 113, 118,  95, 113, 119,  95, 112, 116,  96, 112, 116,  84, 101, 107,  82,  99, 105,  88, 101, 107,  84,  98, 103,  70,  85,  92,  70,  85,  92,  74,  88,  95,  58,  73,  79,  59,  71,  76,  50,  62,  69,  50,  63,  66,  72,  83,  87,  53,  67,  70,  83,  95,  97,
    82,  92,  97,  75,  87,  91,  78,  90,  96,  65,  76,  83,  61,  76,  82,  59,  75,  80, 129, 141, 142,  61,  82,  85, 113, 128, 130, 110, 125, 129,  72,  90,  93,  60,  79,  79, 168, 175, 175,  95, 109, 106,  73,  86,  83, 165, 170, 169, 152, 159, 158,  89, 104, 103,  65,  83,  82, 134, 145, 145,  64,  80,  79,
   123, 135, 133,  74,  93,  91, 103, 119, 118, 123, 137, 137,  78,  95,  97,  77,  93,  95,  80,  97,  99,  84, 100, 101, 194, 200, 200,  65,  79,  79,  90, 106, 107,  82,  98, 102,  74,  92,  96,  78,  96, 102,  73,  91,  95,  76,  94,  98,  72,  91,  95,  75,  94,  97,  77,  96,  99,  77,  97,  98,  74,  94,  94,
    76,  94,  93,  97, 111, 110, 176, 182, 181, 101, 115, 113,  79,  95,  95,  76,  93,  96,  82,  97, 101,  80,  95, 100, 163, 172, 174, 134, 144, 148,  74,  88,  94,  80,  96, 103,  81, 100, 105,  82, 101, 106,  84, 103, 107,  85, 105, 107,  88, 110, 111,  87, 108, 112,  90, 110, 115,  92, 112, 115,  94, 116, 117,
    92, 114, 115, 101, 121, 122, 100, 120, 120, 101, 119, 120, 155, 166, 169,  97, 116, 120, 102, 121, 126,  99, 119, 124, 101, 122, 125, 105, 126, 128, 109, 130, 132, 106, 127, 129, 110, 133, 134, 113, 134, 136, 115, 137, 139, 118, 139, 141, 133, 150, 153, 123, 141, 144, 129, 146, 147, 152, 166, 167, 167, 180, 181,
   118, 139, 141, 128, 147, 151, 146, 163, 165, 157, 171, 174, 145, 164, 165, 162, 176, 177, 185, 195, 195, 155, 172, 174, 157, 174, 175, 176, 190, 191, 183, 194, 195, 172, 187, 186, 179, 193, 192, 184, 197, 197, 185, 198, 200, 185, 197, 199, 176, 191, 193, 190, 202, 201, 180, 196, 195, 198, 210, 209, 198, 209, 206,
   200, 210, 209, 213, 220, 219, 201, 212, 210, 196, 209, 207, 188, 201, 199, 201, 211, 210, 208, 217, 215, 201, 212, 209, 206, 215, 214, 210, 218, 217, 210, 219, 217, 206, 215, 213, 207, 216, 214, 211, 220, 217, 213, 222, 219, 217, 224, 221, 219, 226, 223, 213, 222, 219, 215, 223, 221, 214, 223, 220, 209, 218, 215,
   209, 218, 215, 208, 217, 214, 210, 220, 217, 214, 222, 219, 217, 224, 221, 215, 224, 221, 218, 226, 223, 220, 228, 225, 218, 227, 224, 214, 224, 222, 213, 225, 223, 214, 225, 222, 217, 227, 225, 218, 227, 224, 219, 228, 225, 221, 230, 225, 224, 231, 227, 224, 231, 227, 227, 233, 231, 228, 233, 231, 230, 234, 232,
   209, 223, 226, 208, 223, 226, 208, 224, 226, 208, 223, 226, 207, 221, 225, 205, 219, 225, 203, 218, 224, 202, 218, 224, 200, 216, 222, 199, 215, 221, 198, 214, 220, 197, 213, 219, 195, 213, 218, 194, 212, 219, 194, 212, 219, 194, 212, 219, 193, 211, 218, 191, 210, 217, 191, 210, 217, 190, 209, 216, 190, 208, 215,
   190, 208, 215, 191, 209, 216, 190, 208, 215, 189, 208, 215, 188, 207, 214, 186, 205, 213, 184, 204, 212, 181, 202, 210, 181, 202, 210, 179, 200, 208, 178, 199, 207, 175, 197, 205, 174, 196, 204, 171, 194, 201, 169, 191, 201, 166, 188, 199, 163, 185, 197, 160, 183, 195, 153, 178, 190, 149, 175, 188, 144, 170, 184,
   138, 167, 181, 134, 165, 179, 130, 160, 175, 127, 157, 173, 124, 156, 171, 122, 154, 169, 122, 153, 168, 124, 153, 168, 124, 153, 168, 125, 152, 168, 124, 150, 166, 123, 149, 165, 123, 149, 165, 121, 147, 163, 122, 147, 162, 125, 150, 164, 120, 146, 161, 110, 138, 153, 106, 136, 151, 109, 138, 154, 102, 132, 149,
    98, 128, 145,  98, 128, 145,  95, 125, 142,  93, 123, 140,  89, 120, 137,  87, 115, 133,  84, 111, 126,  81, 107, 123,  75, 102, 118,  68,  97, 112,  66,  95, 110,  79, 106, 121,  81, 107, 122,  75, 100, 115,  70,  96, 110,  68,  94, 108,  70,  94, 106,  69,  94, 106,  70,  95, 108,  70,  93, 107,  71,  96, 107,
    71,  96, 107,  83, 105, 115, 103, 122, 130,  98, 119, 128,  81, 106, 116,  76, 102, 112,  78, 105, 113, 100, 124, 130, 133, 150, 154, 116, 136, 144, 118, 138, 146,  94, 120, 127,  93, 120, 126,  76, 105, 112,  75, 104, 109,  78, 106, 113,  78, 106, 113,  86, 112, 119, 102, 126, 133, 101, 127, 137, 104, 130, 140,
   115, 139, 149, 112, 137, 147, 128, 148, 157, 124, 146, 155, 127, 149, 156, 120, 142, 150, 117, 141, 147, 115, 138, 143, 113, 136, 141, 106, 128, 133, 107, 129, 134, 102, 124, 129, 105, 127, 132, 101, 123, 127,  95, 117, 123,  95, 115, 121,  98, 118, 124,  96, 117, 125,  97, 118, 125,  87, 111, 117,  96, 120, 126,
   103, 126, 131,  98, 120, 127,  92, 113, 120, 104, 124, 130, 101, 121, 126, 101, 120, 123, 100, 118, 122,  94, 112, 115,  88, 105, 108,  94, 110, 113,  85, 102, 104,  81,  97, 100,  72,  88,  92,  57,  74,  77,  72,  87,  90,  67,  82,  86,  55,  69,  72,  47,  61,  67,  60,  72,  76,  51,  65,  69,  86,  96,  99,
    90, 101, 105,  42,  56,  61,  80,  91,  96,  63,  76,  82,  60,  75,  81,  58,  75,  80, 128, 140, 140,  63,  84,  84, 147, 159, 160,  62,  84,  87,  78,  95,  97,  71,  88,  88,  52,  71,  69, 221, 222, 222,  75,  89,  87,  65,  80,  76, 155, 161, 160, 177, 183, 183,  88, 104, 102,  61,  79,  78, 136, 146, 145,
    98, 112, 109,  95, 111, 110,  74,  94,  93, 128, 142, 141, 110, 124, 124,  79,  96,  98,  85, 101, 103,  84, 100, 101,  68,  86,  87, 170, 179, 178, 119, 130, 129,  88, 102, 103,  76,  93,  96,  78,  94,  99,  77,  95,  98,  76,  95,  98,  82, 100, 104,  75,  95,  97,  76,  96,  98,  81, 101, 102,  84, 102, 101,
    79,  97,  95,  83,  99,  98,  77,  94,  93, 136, 148, 148, 165, 174, 173,  69,  86,  90,  79,  95,  99,  80,  96, 100,  78,  92,  97,  93, 107, 111, 169, 178, 180, 113, 125, 130,  78,  94, 101,  90, 107, 112,  84, 103, 107,  86, 106, 108,  90, 110, 112,  89, 109, 113,  96, 115, 119,  98, 118, 120,  94, 115, 116,
    94, 115, 116, 103, 124, 124, 106, 127, 128, 108, 129, 130, 107, 126, 127, 149, 162, 164, 104, 123, 126, 101, 122, 124, 104, 124, 127, 116, 135, 138, 111, 131, 134, 113, 134, 134, 118, 138, 139, 119, 140, 141, 115, 138, 140, 119, 141, 143, 125, 145, 147, 137, 152, 155, 134, 152, 153, 130, 149, 150, 128, 145, 147,
   182, 193, 193, 131, 150, 151, 138, 157, 159, 166, 178, 180, 154, 169, 171, 166, 179, 181, 173, 186, 187, 179, 191, 191, 162, 178, 177, 166, 181, 180, 183, 196, 195, 179, 191, 190, 177, 191, 191, 185, 196, 196, 181, 195, 194, 195, 205, 205, 171, 188, 187, 186, 200, 199, 181, 196, 195, 191, 204, 202, 200, 211, 208,
   194, 205, 203, 203, 212, 210, 211, 218, 217, 194, 206, 204, 193, 205, 204, 195, 207, 205, 206, 214, 212, 200, 212, 209, 199, 210, 207, 213, 220, 219, 206, 214, 211, 209, 218, 215, 208, 217, 214, 211, 220, 217, 210, 220, 217, 215, 222, 219, 216, 223, 220, 213, 221, 218, 212, 221, 218, 212, 220, 218, 213, 221, 218,
   208, 217, 214, 209, 218, 215, 210, 219, 216, 212, 220, 217, 215, 222, 219, 218, 225, 222, 217, 225, 222, 219, 226, 223, 220, 228, 225, 216, 226, 223, 214, 225, 223, 215, 226, 224, 218, 227, 226, 219, 228, 225, 220, 230, 226, 221, 230, 227, 224, 232, 228, 226, 233, 230, 226, 233, 230, 229, 233, 232, 230, 235, 233,
   208, 223, 226, 208, 223, 226, 207, 221, 228, 207, 220, 227, 206, 220, 226, 205, 218, 224, 201, 218, 224, 201, 217, 223, 199, 215, 221, 198, 214, 220, 198, 214, 220, 196, 213, 219, 195, 213, 219, 194, 212, 218, 193, 211, 218, 192, 210, 217, 192, 210, 217, 190, 209, 216, 190, 209, 216, 190, 209, 216, 190, 208, 215,
   190, 208, 215, 189, 207, 214, 188, 207, 214, 188, 207, 214, 187, 206, 213, 183, 204, 212, 184, 203, 211, 181, 202, 210, 180, 201, 209, 181, 201, 209, 178, 198, 206, 177, 197, 205, 175, 196, 204, 171, 193, 204, 172, 192, 203, 167, 188, 199, 164, 185, 197, 158, 181, 193, 152, 178, 190, 146, 174, 186, 142, 170, 184,
   137, 167, 181, 133, 164, 178, 131, 162, 177, 127, 159, 173, 125, 156, 171, 123, 154, 169, 123, 154, 169, 125, 154, 169, 127, 154, 170, 123, 152, 167, 128, 154, 170, 125, 151, 167, 122, 148, 164, 125, 150, 165, 124, 150, 164, 119, 146, 160, 112, 139, 155, 106, 136, 151, 108, 139, 154, 100, 131, 148,  98, 129, 146,
   100, 130, 147,  97, 126, 143,  96, 126, 142,  91, 121, 138,  85, 115, 132,  85, 114, 129,  85, 111, 127,  79, 105, 121,  73, 101, 117,  76, 103, 119,  80, 107, 122,  85, 110, 127,  77, 102, 117,  73,  99, 114,  69,  95, 109,  69,  95, 107,  68,  94, 106,  68,  94, 106,  68,  95, 107,  72,  96, 108,  75,  99, 110,
    86, 109, 120, 104, 122, 132,  98, 118, 129,  85, 109, 119,  77, 102, 112,  78, 104, 115, 106, 128, 136, 134, 151, 157, 108, 132, 137, 116, 138, 144,  90, 117, 123,  89, 116, 122,  77, 107, 114,  74, 103, 110,  74, 102, 109,  76, 104, 111,  83, 110, 116,  92, 117, 123,  94, 119, 125,  92, 119, 126, 100, 126, 136,
   110, 135, 146, 115, 138, 148, 129, 149, 159, 126, 148, 156, 123, 144, 152, 119, 143, 150, 116, 140, 146, 116, 141, 147, 112, 137, 142, 109, 131, 136, 108, 129, 134, 107, 129, 134, 106, 128, 133, 102, 124, 128,  94, 116, 120,  96, 118, 123,  99, 119, 126,  95, 117, 125,  92, 115, 123, 102, 126, 132,  99, 123, 129,
    96, 119, 125,  95, 117, 125, 103, 124, 132,  98, 119, 127, 107, 127, 135, 111, 130, 136, 105, 125, 130, 106, 125, 128, 105, 124, 126,  98, 114, 117,  88, 106, 107,  85, 103, 104,  89, 104, 107,  65,  84,  85,  75,  91,  93,  81,  96,  98,  65,  81,  84,  55,  70,  75,  60,  75,  80,  61,  75,  81,  74,  87,  91,
    90, 100, 104,  54,  68,  71,  68,  81,  86,  56,  71,  77,  64,  80,  85,  65,  81,  85,  68,  88,  88, 134, 148, 147,  55,  78,  76, 134, 148, 147,  79,  95,  98,  79,  96,  97,  66,  83,  82, 104, 116, 115, 193, 198, 197,  76,  90,  86,  75,  88,  86, 222, 226, 223, 111, 123, 121,  81,  98,  95,  85,  99,  97,
   116, 127, 126, 124, 135, 134,  80, 101,  99,  92, 110, 107, 125, 139, 137,  94, 112, 110,  85, 104, 104,  91, 106, 105,  81,  97,  97,  75,  91,  91, 116, 129, 130, 174, 182, 182,  65,  83,  84,  78,  95,  97,  83, 100, 103,  79,  98, 100,  82, 100, 103,  85, 103, 105,  77,  97,  99,  81, 101,  99,  78,  98,  96,
    89, 106, 105,  76,  95,  93,  80,  99,  99,  89, 106, 107,  71,  91,  92, 165, 173, 174, 135, 145, 146,  70,  85,  89,  84,  99, 102,  85, 100, 103,  74,  89,  94, 122, 134, 139, 175, 181, 184,  84,  98, 103,  91, 106, 112,  93, 112, 115,  92, 110, 113,  93, 112, 114,  97, 118, 118,  99, 119, 120, 102, 122, 123,
   102, 124, 125, 108, 128, 129, 112, 131, 132, 118, 136, 137, 113, 131, 132, 137, 151, 153, 127, 144, 146, 107, 126, 129, 105, 125, 128, 121, 139, 142, 118, 137, 139, 111, 132, 133, 131, 149, 150, 122, 141, 142, 122, 143, 144, 119, 140, 142, 126, 146, 147, 137, 155, 156, 139, 156, 157, 144, 159, 160, 138, 155, 156,
   132, 150, 152, 178, 188, 189, 163, 175, 176, 166, 178, 178, 165, 178, 177, 160, 174, 174, 173, 185, 185, 174, 186, 186, 178, 191, 190, 161, 177, 174, 179, 191, 189, 189, 201, 198, 176, 190, 188, 179, 192, 191, 184, 196, 195, 191, 201, 200, 185, 197, 197, 178, 192, 192, 196, 207, 206, 182, 197, 195, 196, 207, 205,
   197, 207, 205, 200, 210, 208, 204, 212, 211, 206, 213, 212, 188, 201, 199, 198, 208, 206, 198, 209, 208, 207, 215, 214, 200, 210, 208, 205, 215, 212, 210, 216, 215, 208, 217, 214, 211, 219, 216, 208, 217, 214, 209, 217, 213, 215, 222, 219, 215, 222, 219, 211, 220, 217, 211, 219, 218, 209, 218, 217, 207, 217, 215,
   209, 218, 215, 209, 218, 215, 210, 219, 216, 213, 222, 219, 215, 222, 220, 216, 223, 219, 219, 226, 223, 219, 226, 223, 220, 227, 224, 217, 226, 223, 216, 226, 223, 216, 226, 225, 219, 229, 226, 220, 229, 227, 221, 230, 227, 223, 232, 229, 225, 232, 229, 226, 233, 230, 228, 234, 232, 228, 234, 231, 229, 234, 232,
   207, 222, 225, 207, 222, 225, 207, 220, 227, 205, 220, 226, 202, 218, 224, 201, 218, 224, 202, 217, 223, 200, 216, 222, 199, 215, 221, 198, 214, 220, 197, 213, 219, 196, 212, 218, 194, 212, 218, 193, 211, 218, 192, 210, 217, 191, 210, 217, 191, 210, 217, 189, 209, 215, 189, 208, 215, 190, 208, 215, 189, 207, 214,
   189, 207, 214, 189, 207, 214, 187, 206, 213, 187, 206, 213, 185, 205, 212, 183, 203, 211, 183, 202, 210, 183, 202, 210, 183, 202, 209, 181, 201, 209, 179, 199, 207, 178, 198, 206, 175, 195, 205, 171, 192, 202, 168, 190, 200, 165, 187, 198, 159, 183, 194, 154, 180, 191, 149, 175, 187, 145, 173, 185, 140, 169, 183,
   135, 166, 180, 135, 165, 179, 132, 162, 178, 131, 160, 175, 127, 157, 172, 126, 156, 171, 127, 156, 171, 127, 154, 169, 126, 153, 169, 127, 153, 169, 123, 149, 165, 123, 149, 165, 124, 149, 164, 123, 150, 164, 114, 142, 156, 108, 136, 151, 103, 133, 148, 104, 135, 150, 100, 132, 147,  99, 131, 147, 100, 130, 147,
   100, 130, 147,  97, 127, 144,  92, 122, 138,  89, 120, 136,  88, 119, 134,  85, 114, 129,  80, 109, 124,  83, 108, 125,  79, 104, 121,  84, 110, 126,  87, 113, 129,  80, 106, 122,  74,  99, 115,  71,  97, 111,  68,  94, 107,  70,  96, 108,  71,  97, 109,  69,  95, 107,  72,  98, 110,  75, 100, 112,  89, 113, 123,
   106, 125, 136,  96, 118, 128,  85, 110, 120,  80, 105, 115,  87, 111, 121, 118, 138, 147, 118, 139, 146, 101, 126, 131, 115, 138, 143,  85, 113, 118,  82, 111, 116,  79, 108, 113,  68,  97, 104,  72, 101, 108,  76, 105, 111,  76, 104, 111,  95, 119, 125,  95, 119, 125,  87, 113, 119,  90, 117, 124, 102, 126, 135,
   108, 133, 144, 126, 148, 158, 118, 141, 151, 117, 140, 150, 119, 142, 150, 122, 145, 152, 122, 145, 151, 116, 140, 146, 113, 138, 144, 113, 135, 140, 107, 129, 134, 108, 129, 134, 113, 133, 138,  99, 122, 127,  97, 118, 123, 101, 121, 126,  98, 119, 126,  99, 120, 126,  99, 123, 129, 102, 126, 132,  96, 119, 127,
    96, 120, 126,  95, 117, 125,  96, 118, 128,  94, 116, 127, 117, 137, 145, 118, 137, 144, 114, 133, 138, 109, 128, 133, 103, 121, 124,  98, 118, 121, 102, 119, 120,  96, 112, 114,  92, 105, 108,  84, 100, 102,  89, 104, 106,  87, 102, 104,  76,  92,  94,  59,  76,  79,  64,  80,  86,  83,  97, 101,  57,  73,  77,
    73,  86,  90,  87,  98, 102,  55,  70,  73,  66,  81,  84,  69,  87,  89,  61,  80,  84,  67,  86,  89,  91, 110, 108, 112, 129, 127, 150, 162, 161,  60,  80,  82,  67,  85,  86,  85,  99,  99,  74,  91,  90, 175, 183, 183, 137, 148, 148,  70,  81,  80,  93, 103, 101, 227, 229, 229,  70,  86,  85,  85,  98,  98,
   111, 123, 123, 107, 120, 119, 104, 120, 118, 103, 119, 118,  81, 100,  99, 146, 157, 157,  75,  95,  92,  93, 111, 108,  89, 105, 102,  80,  97,  95,  81,  97,  96,  88, 102, 103, 201, 206, 205,  77,  91,  93,  87, 103, 106,  83, 100, 103,  86, 103, 106,  86, 104, 106,  79,  99, 101,  74,  95,  94,  84, 102, 101,
    86, 103, 104,  85, 102, 104,  81, 100, 103,  81, 100, 101,  83, 102, 103,  80,  95,  98,  99, 112, 115, 178, 183, 185,  92, 105, 108,  84,  99, 102,  82,  97,  99,  84,  99, 104,  83,  99, 106, 162, 170, 173, 149, 157, 160,  87, 103, 107, 101, 118, 120,  93, 112, 115, 104, 123, 123, 101, 121, 122, 106, 126, 127,
   104, 123, 126, 111, 130, 131, 115, 134, 135, 117, 137, 138, 116, 135, 136, 113, 132, 134, 159, 170, 172, 107, 126, 130, 114, 132, 136, 126, 143, 145, 121, 140, 141, 116, 136, 137, 128, 146, 147, 122, 142, 143, 122, 142, 143, 125, 146, 147, 137, 155, 156, 135, 153, 154, 149, 164, 164, 156, 169, 169, 141, 159, 157,
   122, 143, 142, 152, 167, 166, 150, 166, 165, 194, 202, 201, 168, 179, 179, 160, 174, 173, 166, 179, 178, 179, 189, 189, 152, 170, 168, 181, 192, 190, 171, 184, 182, 187, 197, 196, 177, 191, 189, 177, 190, 188, 192, 203, 201, 185, 197, 196, 190, 201, 201, 175, 191, 189, 193, 204, 202, 186, 199, 198, 191, 203, 202,
   197, 208, 206, 197, 207, 205, 201, 209, 208, 205, 214, 212, 192, 203, 201, 194, 204, 203, 199, 208, 206, 205, 213, 212, 203, 212, 209, 201, 210, 207, 211, 218, 217, 208, 217, 214, 211, 219, 216, 214, 221, 218, 214, 221, 216, 213, 220, 217, 217, 223, 220, 213, 222, 220, 209, 218, 217, 208, 217, 216, 205, 216, 214,
   203, 214, 211, 207, 217, 214, 209, 218, 216, 213, 222, 219, 215, 223, 220, 216, 223, 219, 220, 227, 224, 221, 227, 225, 219, 226, 223, 219, 227, 224, 218, 227, 224, 218, 227, 224, 219, 229, 226, 220, 229, 226, 223, 231, 228, 225, 232, 229, 226, 233, 230, 228, 234, 231, 227, 234, 231, 229, 236, 233, 229, 235, 233,
   207, 222, 225, 207, 221, 226, 205, 219, 226, 204, 218, 224, 204, 218, 224, 203, 217, 223, 200, 215, 221, 199, 214, 220, 199, 214, 220, 197, 213, 219, 197, 213, 219, 194, 212, 218, 193, 211, 218, 192, 210, 217, 192, 210, 217, 191, 209, 216, 190, 209, 216, 190, 209, 216, 189, 208, 215, 188, 207, 214, 189, 206, 213,
   189, 207, 214, 188, 207, 214, 187, 206, 213, 186, 205, 212, 186, 205, 212, 185, 204, 211, 183, 203, 210, 183, 202, 209, 183, 202, 210, 181, 200, 208, 179, 198, 205, 175, 196, 204, 175, 194, 205, 170, 191, 200, 166, 187, 198, 163, 186, 196, 157, 182, 192, 151, 177, 189, 146, 174, 185, 144, 171, 184, 138, 168, 182,
   136, 167, 180, 135, 165, 179, 136, 164, 178, 133, 161, 176, 131, 160, 175, 128, 156, 172, 129, 155, 170, 127, 153, 169, 126, 152, 168, 126, 152, 168, 123, 150, 165, 124, 150, 165, 119, 145, 159, 111, 139, 154, 106, 136, 151, 102, 133, 148, 102, 133, 148, 100, 132, 147,  99, 132, 147, 101, 131, 148, 101, 131, 148,
   100, 129, 147,  97, 127, 143,  90, 120, 137,  88, 118, 135,  86, 116, 133,  86, 114, 131,  85, 112, 128,  84, 110, 126,  92, 118, 134,  91, 116, 132,  82, 108, 124,  78, 103, 119,  71,  97, 112,  70,  96, 109,  68,  94, 106,  69,  95, 107,  69,  95, 107,  73,  99, 111,  76, 103, 114,  93, 116, 128, 104, 125, 136,
    98, 120, 131,  89, 113, 124,  82, 107, 117,  93, 116, 126, 127, 146, 154, 110, 133, 140,  93, 119, 125, 114, 137, 143,  86, 114, 119,  79, 108, 113,  82, 110, 115,  71, 102, 107,  73, 103, 108,  77, 105, 111,  75, 105, 110,  92, 117, 122,  91, 116, 122,  80, 106, 113,  86, 112, 118,  98, 122, 128, 105, 127, 134,
   119, 139, 147, 115, 136, 147, 112, 137, 148, 115, 139, 148, 113, 140, 146, 123, 146, 153, 122, 145, 152, 119, 143, 149, 112, 136, 142, 112, 134, 140, 107, 129, 134, 112, 133, 138, 110, 130, 135, 100, 122, 127,  97, 118, 122,  99, 120, 125,  99, 120, 126, 110, 130, 136,  95, 119, 125, 103, 126, 132,  90, 116, 121,
    88, 113, 119,  94, 118, 126,  91, 117, 125,  99, 123, 134, 115, 136, 146, 116, 135, 143, 111, 131, 137, 116, 135, 140, 111, 131, 134, 102, 123, 125, 113, 131, 133, 102, 119, 121, 101, 116, 119,  92, 108, 111,  92, 107, 110,  91, 106, 109,  90, 104, 107,  75,  92,  95,  74,  90,  93,  87, 101, 103,  63,  78,  82,
    76,  90,  93,  80,  93,  96,  67,  80,  83,  63,  79,  81,  63,  80,  84,  66,  84,  87,  68,  87,  90, 108, 123, 123, 134, 146, 146,  79, 100,  98, 110, 125, 125,  79,  96,  98,  73,  90,  90,  89, 105, 106,  84,  99, 102, 188, 191, 192, 125, 134, 136,  90, 102, 101, 116, 125, 123, 130, 138, 138,  95, 106, 108,
    86,  99,  98, 130, 140, 140, 114, 128, 126,  97, 113, 111,  73,  93,  91,  90, 108, 107, 141, 153, 151,  78,  97,  94,  92, 111, 107,  84, 101,  99,  85, 102, 100,  92, 107, 106,  84,  99, 100, 175, 183, 183,  96, 106, 108,  90, 103, 106,  89, 106, 108,  84, 103, 103,  80,  99,  98,  69,  91,  89,  77,  97,  98,
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   114, 132, 133, 115, 133, 134, 120, 137, 139, 134, 149, 150, 122, 139, 140, 126, 143, 142, 123, 139, 142, 149, 163, 168, 119, 138, 143, 123, 140, 143, 130, 146, 148, 115, 136, 136, 135, 151, 152, 129, 148, 149, 127, 146, 147, 134, 152, 151, 141, 158, 157, 127, 148, 146, 153, 167, 166, 155, 168, 166, 137, 155, 152,
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   117, 129, 130,  79,  94,  94, 173, 179, 179,  93, 103, 105, 134, 136, 139, 116, 126, 125,  82,  95,  94, 123, 135, 134,  81,  97,  97,  90, 105, 106,  79,  95,  98,  60,  79,  82, 137, 149, 150,  58,  80,  81,  56,  77,  80,  71,  90,  92,  68,  88,  90,  70,  90,  91,  82,  98,  98,  89, 105, 104,  88, 102, 102,
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   152, 159, 158, 146, 155, 154, 152, 160, 160, 149, 158, 158, 156, 162, 163, 200, 205, 204, 147, 156, 154, 147, 160, 158, 152, 164, 164, 155, 166, 166, 182, 192, 191, 148, 158, 158, 160, 169, 170, 164, 174, 174, 169, 180, 178, 159, 172, 169, 147, 162, 158, 154, 169, 166, 150, 163, 163, 156, 169, 169, 137, 154, 154,
   144, 158, 157, 139, 154, 153, 157, 169, 167, 165, 175, 173, 140, 158, 156, 151, 167, 164, 160, 174, 172, 154, 169, 167, 148, 163, 162, 171, 183, 183, 173, 182, 183, 159, 172, 170, 166, 178, 176, 198, 205, 203, 157, 170, 168, 160, 173, 171, 170, 181, 178, 188, 197, 194, 180, 190, 187, 185, 194, 191, 183, 193, 190,
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   200, 213, 211, 202, 214, 211, 205, 216, 213, 210, 219, 216, 214, 222, 219, 217, 225, 221, 222, 228, 226, 221, 227, 224, 220, 227, 223, 221, 228, 225, 222, 229, 225, 221, 228, 224, 223, 229, 226, 224, 231, 228, 225, 232, 229, 225, 231, 228, 225, 232, 229, 226, 233, 230, 227, 234, 231, 228, 235, 232, 229, 236, 233,
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   186, 204, 211, 184, 202, 209, 180, 199, 206, 178, 198, 205, 176, 197, 203, 174, 196, 202, 173, 195, 201, 172, 194, 200, 169, 190, 198, 165, 186, 196, 160, 183, 193, 152, 178, 188, 151, 177, 187, 149, 175, 187, 150, 177, 188, 151, 177, 188, 152, 177, 189, 154, 178, 190, 151, 176, 188, 150, 174, 186, 141, 167, 180,
   138, 165, 177, 140, 166, 180, 139, 166, 178, 137, 163, 177, 133, 160, 174, 129, 157, 172, 124, 152, 167, 121, 150, 166, 118, 147, 164, 115, 145, 162, 116, 146, 163, 113, 143, 161, 114, 144, 163, 111, 141, 160, 110, 139, 158, 104, 134, 154, 102, 131, 152,  96, 127, 148,  97, 126, 147, 101, 130, 150, 106, 133, 153,
   113, 139, 156, 106, 132, 152,  97, 123, 143,  93, 120, 139,  85, 112, 129,  85, 113, 130,  87, 113, 129,  86, 112, 128,  84, 109, 125,  86, 112, 125,  85, 111, 125,  86, 111, 125, 103, 125, 137, 106, 125, 137, 105, 126, 137, 127, 144, 155, 112, 132, 143,  83, 110, 120,  92, 119, 128,  99, 125, 134,  81, 108, 118,
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    86, 100, 102,  86,  98, 100, 172, 179, 179, 106, 114, 113, 102, 115, 114,  96, 109, 108,  94, 110, 107,  92, 110, 108,  96, 113, 110,  95, 112, 109, 100, 117, 114, 105, 121, 120, 114, 129, 131, 107, 122, 124, 100, 115, 117,  98, 113, 113,  94, 110, 109,  99, 115, 114, 116, 130, 129, 132, 144, 142, 145, 153, 151,
   186, 191, 190, 171, 176, 176, 145, 154, 154, 140, 150, 150, 148, 157, 156, 153, 160, 159, 190, 197, 195, 157, 167, 166, 147, 158, 158, 157, 166, 166, 163, 173, 174, 170, 181, 181, 156, 168, 168, 167, 177, 177, 161, 173, 171, 163, 175, 174, 144, 160, 158, 165, 177, 175, 138, 154, 153, 160, 172, 172, 133, 149, 148,
   139, 153, 153, 138, 153, 151, 159, 170, 170, 162, 175, 173, 150, 165, 162, 142, 158, 155, 154, 167, 165, 161, 174, 173, 135, 153, 152, 156, 170, 169, 169, 181, 180, 161, 174, 172, 167, 178, 176, 173, 183, 180, 195, 202, 200, 151, 165, 163, 163, 177, 173, 175, 186, 183, 181, 191, 188, 182, 191, 189, 176, 186, 184,
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   200, 213, 211, 203, 216, 212, 206, 216, 213, 210, 219, 216, 214, 222, 218, 216, 224, 220, 219, 226, 221, 223, 228, 225, 222, 229, 225, 222, 229, 226, 221, 228, 224, 221, 228, 224, 222, 229, 226, 223, 230, 227, 224, 231, 228, 225, 231, 228, 226, 232, 229, 227, 234, 231, 227, 234, 231, 229, 236, 233, 229, 236, 233,
   202, 218, 221, 202, 217, 220, 198, 215, 219, 197, 214, 220, 196, 212, 218, 194, 213, 218, 193, 211, 217, 193, 211, 216, 190, 209, 214, 191, 209, 216, 190, 208, 215, 187, 205, 212, 187, 205, 212, 186, 205, 212, 185, 204, 211, 186, 204, 211, 185, 203, 210, 186, 204, 211, 185, 203, 210, 186, 204, 211, 185, 203, 210,
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   140, 166, 179, 140, 167, 180, 139, 165, 179, 137, 163, 177, 131, 159, 173, 129, 157, 171, 124, 153, 169, 125, 154, 169, 122, 151, 167, 118, 148, 165, 117, 147, 164, 114, 145, 162, 112, 142, 161, 112, 142, 161, 107, 137, 156, 100, 130, 151,  98, 128, 149,  99, 128, 149,  97, 126, 147, 104, 131, 151, 115, 139, 158,
   110, 134, 154, 100, 125, 145,  94, 120, 140,  85, 113, 132,  84, 112, 129,  85, 113, 128,  85, 111, 127,  85, 110, 126,  85, 111, 126,  86, 112, 126,  86, 109, 124,  96, 119, 132, 110, 130, 142, 108, 128, 140, 125, 142, 154, 114, 133, 144,  87, 112, 122,  95, 120, 129, 109, 132, 140,  82, 109, 119,  76, 103, 114,
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   211, 215, 215,  81,  95,  94,  71,  84,  85, 155, 161, 162,  76,  85,  88, 161, 166, 167,  88,  98, 102,  84,  96,  99, 130, 139, 140,  78,  93,  96,  72,  89,  92,  65,  83,  87,  72,  91,  93, 120, 133, 136,  65,  85,  88,  66,  86,  89,  72,  92,  93,  74,  94,  93,  81,  98,  97,  77,  95,  94,  77,  95,  95,
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   145, 154, 150, 162, 170, 169, 191, 195, 195, 144, 152, 151, 148, 154, 155, 146, 155, 155, 144, 153, 153, 186, 193, 192, 165, 174, 175, 151, 162, 162, 163, 171, 172, 183, 190, 189, 153, 165, 163, 165, 176, 174, 160, 173, 170, 167, 178, 177, 159, 171, 169, 165, 176, 175, 141, 156, 155, 150, 162, 162, 135, 150, 150,
   143, 155, 153, 127, 144, 143, 157, 169, 169, 161, 173, 173, 151, 166, 164, 133, 152, 149, 149, 164, 162, 157, 170, 169, 132, 152, 150, 141, 159, 158, 157, 171, 170, 159, 171, 168, 167, 177, 175, 168, 179, 177, 177, 186, 184, 183, 194, 192, 159, 173, 168, 170, 181, 178, 177, 187, 184, 191, 199, 198, 184, 193, 191,
   183, 193, 190, 179, 190, 187, 181, 194, 190, 182, 195, 191, 179, 193, 189, 184, 196, 192, 187, 199, 195, 193, 203, 200, 203, 212, 209, 211, 218, 215, 212, 218, 216, 212, 219, 215, 211, 218, 214, 213, 220, 216, 214, 221, 216, 215, 222, 219, 214, 222, 219, 212, 219, 216, 208, 216, 213, 200, 212, 209, 198, 212, 208,
   199, 214, 210, 203, 215, 212, 208, 219, 216, 210, 219, 216, 215, 224, 220, 217, 224, 220, 219, 226, 222, 221, 228, 224, 222, 228, 225, 223, 230, 226, 223, 230, 227, 222, 229, 226, 222, 229, 225, 223, 230, 225, 224, 231, 228, 225, 232, 229, 225, 232, 229, 225, 232, 229, 227, 234, 230, 228, 235, 232, 229, 236, 233,
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   102, 127, 146,  94, 121, 138,  86, 113, 132,  84, 111, 130,  85, 113, 128,  84, 111, 127,  84, 110, 126,  84, 109, 125,  83, 109, 124,  85, 111, 126,  89, 113, 127, 104, 127, 140, 110, 131, 143, 125, 142, 154, 116, 135, 147,  90, 113, 125,  93, 118, 128, 106, 130, 140,  90, 115, 125,  74, 101, 111,  78, 104, 116,
    81, 107, 119,  82, 108, 120,  80, 106, 118,  78, 105, 116,  73, 100, 110,  73,  98, 108,  72,  98, 105,  76, 100, 108,  84, 107, 115,  80, 103, 111,  73,  98, 105,  76, 101, 108,  75,  99, 107,  99, 121, 127, 117, 136, 144,  92, 115, 122,  91, 116, 122,  97, 120, 126,  93, 116, 122,  96, 120, 125,  96, 121, 126,
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   130, 140, 140, 136, 144, 144,  90, 101, 102, 128, 135, 136, 106, 115, 117, 116, 124, 127, 127, 134, 138, 100, 110, 116,  82,  95, 100, 116, 127, 131,  72,  88,  93,  70,  89,  95,  71,  90,  93,  58,  79,  83, 123, 136, 138,  71,  92,  94,  73,  93,  94,  78,  97,  97,  76,  94,  93,  79,  97,  96,  85, 101, 100,
    87, 103, 102,  96, 111, 110,  98, 111, 110,  99, 110, 110, 183, 190, 189, 101, 112, 112,  99, 114, 112,  95, 110, 109,  99, 115, 114, 102, 118, 117, 105, 121, 122, 110, 126, 127,  99, 115, 118,  91, 108, 111, 100, 114, 117,  95, 111, 111,  97, 113, 112, 115, 129, 128, 120, 134, 132, 124, 137, 135, 135, 146, 144,
   139, 151, 148, 151, 159, 158, 146, 155, 154, 203, 207, 206, 144, 152, 152, 136, 146, 146, 148, 157, 157, 152, 161, 159, 169, 178, 176, 189, 194, 193, 172, 178, 177, 183, 189, 189, 154, 163, 162, 163, 173, 172, 163, 173, 172, 168, 177, 176, 166, 176, 174, 165, 174, 173, 141, 156, 155, 140, 154, 153, 137, 151, 152,
   135, 149, 150, 126, 142, 143, 143, 157, 159, 161, 173, 174, 150, 164, 164, 124, 145, 143, 146, 161, 160, 152, 165, 165, 139, 155, 155, 136, 154, 153, 143, 161, 160, 155, 168, 167, 166, 178, 176, 160, 173, 171, 173, 183, 181, 173, 182, 180, 179, 190, 187, 163, 175, 172, 178, 188, 185, 180, 190, 188, 194, 201, 199,
   186, 195, 192, 182, 192, 189, 186, 195, 192, 178, 189, 186, 182, 193, 190, 180, 191, 188, 193, 202, 199, 190, 201, 198, 203, 212, 209, 206, 213, 210, 212, 219, 216, 216, 222, 219, 214, 220, 217, 212, 218, 214, 215, 222, 219, 213, 220, 217, 213, 221, 217, 211, 219, 216, 210, 219, 216, 203, 213, 210, 200, 214, 211,
   198, 212, 209, 204, 216, 213, 207, 217, 214, 211, 220, 217, 214, 222, 219, 219, 226, 222, 219, 226, 221, 220, 227, 222, 222, 229, 225, 223, 229, 226, 224, 231, 227, 224, 231, 228, 223, 230, 227, 223, 230, 227, 224, 231, 226, 225, 232, 229, 222, 231, 228, 225, 231, 228, 226, 233, 230, 227, 234, 231, 229, 236, 233,
   202, 217, 220, 202, 217, 220, 198, 214, 221, 196, 212, 218, 196, 212, 218, 193, 212, 217, 193, 211, 216, 190, 209, 214, 190, 208, 213, 188, 207, 213, 188, 206, 213, 186, 204, 211, 184, 203, 210, 182, 201, 208, 182, 201, 208, 183, 202, 209, 184, 202, 209, 184, 202, 209, 182, 200, 207, 180, 199, 206, 180, 199, 206,
   180, 199, 206, 177, 197, 203, 176, 197, 203, 177, 197, 204, 179, 198, 204, 179, 198, 205, 177, 196, 203, 171, 192, 199, 166, 187, 195, 158, 183, 190, 154, 180, 189, 155, 181, 191, 156, 181, 191, 159, 182, 193, 157, 180, 191, 155, 180, 191, 149, 175, 187, 147, 173, 186, 139, 167, 181, 135, 164, 177, 136, 164, 177,
   138, 165, 179, 141, 167, 181, 140, 166, 180, 137, 164, 178, 133, 162, 176, 132, 161, 175, 133, 161, 175, 128, 157, 172, 123, 153, 170, 118, 149, 166, 116, 146, 166, 113, 143, 162, 109, 139, 158, 104, 134, 153,  97, 127, 148,  93, 124, 145,  92, 124, 145,  99, 127, 148, 107, 134, 154, 109, 135, 155, 102, 129, 149,
    95, 122, 142,  88, 116, 133,  84, 112, 129,  84, 112, 129,  82, 110, 126,  85, 111, 127,  85, 112, 127,  86, 110, 127,  87, 113, 127,  85, 111, 124,  97, 120, 133, 111, 133, 144, 123, 142, 153, 114, 133, 146,  90, 115, 127,  92, 117, 129, 104, 127, 138,  94, 118, 128,  78, 105, 115,  76, 102, 113,  81, 107, 118,
    84, 108, 120,  81, 107, 120,  79, 106, 117,  76, 103, 113,  75, 100, 110,  74,  99, 109,  73,  98, 107,  80, 103, 111,  83, 106, 114,  73,  98, 106,  70,  97, 103,  69,  96, 104,  84, 109, 116, 119, 140, 146,  98, 121, 128,  83, 108, 115, 101, 123, 129,  95, 119, 125,  93, 117, 123,  95, 119, 124,  95, 119, 125,
    98, 123, 127, 101, 127, 131, 110, 134, 140, 101, 123, 131, 108, 131, 139,  99, 124, 131,  93, 119, 126,  90, 114, 122,  95, 116, 122,  99, 118, 125,  99, 119, 126, 100, 120, 126, 104, 124, 129, 104, 124, 129, 108, 127, 133, 112, 131, 138, 111, 130, 136, 110, 127, 133, 113, 130, 135, 109, 127, 131, 104, 122, 127,
   104, 121, 123, 106, 121, 124, 104, 119, 123,  99, 116, 119, 101, 118, 121, 102, 119, 122,  94, 113, 118,  97, 116, 121,  94, 113, 118,  94, 114, 119, 101, 118, 122, 101, 117, 120,  94, 110, 113,  97, 114, 116,  96, 114, 115,  95, 114, 115,  94, 113, 114,  98, 116, 117,  97, 115, 116,  93, 114, 111,  92, 113, 112,
   113, 130, 132, 111, 128, 132,  99, 117, 121,  98, 115, 121, 101, 117, 122,  96, 113, 118,  98, 114, 116,  96, 113, 116, 120, 134, 136,  96, 113, 116,  98, 114, 115,  97, 113, 115,  96, 112, 116, 102, 119, 121, 164, 175, 172,  74,  96,  95,  87, 106, 108,  90, 108, 111,  72,  93,  95, 128, 140, 142,  72,  92,  93,
    82,  98,  98, 170, 176, 176,  84,  96,  98,  80,  91,  93, 148, 155, 157, 108, 118, 121, 154, 159, 161,  83,  91,  99,  95, 105, 111, 108, 121, 125,  66,  85,  89,  75,  92,  96,  75,  93,  97,  73,  92,  96,  91, 108, 111,  99, 115, 116,  82, 101, 102,  77,  98,  98,  78,  96,  95,  83, 100,  99,  87, 103, 102,
    90, 106, 105,  98, 113, 112, 102, 115, 115, 104, 115, 115,  95, 104, 105, 191, 194, 195,  99, 105, 109, 104, 115, 118,  96, 109, 112, 104, 120, 122,  99, 116, 118,  98, 115, 117,  93, 110, 113,  91, 109, 112,  93, 110, 112,  94, 110, 111,  97, 112, 112, 118, 132, 131, 117, 131, 129, 122, 135, 134, 127, 142, 139,
   138, 152, 150, 150, 160, 158, 147, 156, 153, 150, 158, 155, 191, 197, 197, 132, 143, 142, 156, 162, 161, 156, 163, 160, 137, 145, 142, 165, 171, 169, 203, 208, 208, 177, 180, 181, 160, 170, 167, 164, 174, 172, 167, 175, 174, 160, 171, 169, 168, 176, 175, 161, 172, 170, 144, 157, 156, 138, 152, 151, 130, 145, 145,
   130, 146, 148, 135, 150, 150, 138, 153, 156, 160, 172, 174, 151, 165, 165, 128, 146, 148, 138, 155, 155, 148, 163, 164, 131, 151, 150, 139, 156, 155, 124, 145, 145, 150, 165, 164, 161, 174, 172, 161, 173, 172, 168, 180, 178, 165, 177, 175, 175, 186, 183, 181, 191, 188, 178, 188, 186, 174, 185, 183, 180, 190, 187,
   194, 201, 198, 183, 193, 190, 179, 190, 184, 182, 192, 188, 181, 192, 189, 182, 193, 190, 190, 200, 197, 191, 202, 198, 198, 208, 205, 206, 214, 211, 207, 214, 211, 213, 219, 217, 216, 221, 219, 213, 221, 217, 214, 221, 218, 214, 221, 218, 213, 220, 216, 213, 220, 216, 210, 218, 214, 209, 218, 215, 203, 214, 211,
   201, 214, 210, 203, 214, 211, 207, 218, 215, 211, 221, 218, 215, 224, 220, 218, 225, 220, 221, 228, 223, 220, 227, 222, 221, 228, 225, 224, 231, 228, 224, 231, 228, 224, 231, 228, 224, 231, 228, 222, 230, 227, 223, 230, 228, 224, 231, 228, 224, 231, 228, 224, 231, 228, 225, 232, 229, 227, 234, 231, 229, 236, 233,
   202, 216, 221, 199, 215, 220, 197, 213, 218, 197, 213, 219, 195, 211, 217, 194, 211, 216, 191, 209, 214, 189, 208, 213, 189, 207, 213, 187, 205, 212, 187, 205, 212, 184, 202, 209, 182, 201, 208, 182, 200, 208, 182, 200, 207, 182, 200, 207, 181, 199, 206, 181, 199, 206, 179, 198, 205, 178, 197, 204, 176, 196, 203,
   176, 195, 202, 178, 198, 204, 179, 198, 204, 181, 200, 205, 181, 200, 206, 180, 198, 205, 177, 195, 202, 172, 193, 199, 167, 188, 196, 158, 184, 191, 158, 183, 192, 159, 183, 192, 161, 183, 194, 162, 185, 196, 159, 183, 193, 156, 181, 192, 149, 175, 187, 145, 172, 184, 137, 166, 180, 133, 162, 176, 139, 165, 179,
   140, 167, 181, 140, 166, 180, 141, 167, 181, 139, 166, 180, 136, 164, 178, 138, 164, 179, 135, 162, 178, 128, 156, 173, 124, 154, 171, 116, 148, 167, 114, 146, 165, 108, 140, 159, 104, 134, 154,  99, 131, 150,  94, 125, 145,  95, 125, 146,  96, 126, 147, 103, 131, 152, 106, 132, 153, 102, 131, 150,  98, 126, 146,
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    85, 109, 121,  81, 107, 119,  78, 104, 116,  78, 103, 113,  75, 100, 107,  74,  99, 106,  75,  98, 108,  84, 107, 115,  76, 102, 109,  68,  94, 101,  66,  94, 101,  69,  97, 104, 111, 134, 140, 106, 129, 135,  88, 113, 120,  91, 115, 122,  98, 122, 128,  91, 115, 121,  94, 119, 124,  98, 123, 127,  96, 120, 126,
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   142, 154, 152, 143, 156, 153, 136, 148, 144, 152, 162, 160, 151, 161, 158, 174, 183, 180, 163, 169, 166, 148, 155, 152, 134, 142, 140, 157, 163, 160, 170, 174, 173, 201, 207, 208, 176, 182, 183, 160, 172, 168, 161, 172, 170, 146, 160, 156, 169, 178, 178, 162, 172, 170, 140, 153, 152, 143, 156, 155, 123, 140, 140,
   125, 141, 143, 130, 146, 147, 141, 155, 157, 160, 172, 173, 143, 158, 160, 132, 151, 151, 123, 143, 144, 147, 162, 163, 131, 151, 152, 142, 158, 159, 127, 147, 148, 138, 156, 155, 147, 164, 162, 162, 176, 174, 162, 176, 175, 160, 174, 172, 166, 179, 177, 182, 192, 190, 187, 195, 194, 176, 188, 185, 170, 182, 179,
   192, 200, 197, 187, 196, 192, 187, 195, 191, 182, 192, 187, 179, 190, 187, 186, 197, 193, 187, 196, 193, 191, 202, 199, 197, 207, 203, 206, 214, 210, 208, 214, 211, 210, 217, 214, 214, 221, 218, 217, 222, 218, 214, 221, 218, 213, 220, 217, 212, 219, 214, 210, 219, 214, 209, 218, 214, 209, 218, 215, 207, 216, 213,
   205, 216, 212, 204, 215, 212, 205, 216, 213, 210, 220, 217, 215, 224, 221, 220, 227, 224, 221, 228, 222, 221, 228, 223, 222, 229, 224, 223, 230, 226, 223, 230, 226, 223, 230, 227, 223, 230, 227, 223, 230, 227, 223, 231, 228, 224, 231, 228, 224, 232, 229, 224, 232, 229, 226, 233, 230, 226, 233, 230, 228, 235, 232,
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   177, 196, 202, 180, 199, 204, 183, 202, 207, 185, 201, 207, 185, 201, 207, 180, 198, 205, 178, 196, 203, 172, 192, 199, 167, 188, 196, 162, 185, 193, 162, 186, 193, 163, 186, 194, 167, 188, 196, 167, 189, 198, 160, 184, 194, 155, 181, 192, 149, 175, 187, 143, 171, 183, 136, 165, 179, 137, 164, 178, 138, 165, 179,
   140, 167, 181, 140, 167, 181, 140, 167, 181, 139, 166, 180, 140, 166, 181, 138, 164, 180, 137, 164, 179, 131, 160, 176, 124, 154, 171, 114, 146, 165, 110, 142, 161, 106, 138, 157, 100, 132, 151,  93, 125, 144,  91, 123, 143,  96, 125, 146,  99, 128, 149, 106, 133, 153, 102, 130, 150,  96, 127, 146,  93, 122, 142,
    87, 116, 134,  85, 112, 131,  85, 113, 130,  85, 111, 127,  83, 109, 125,  84, 110, 126,  82, 108, 122,  84, 110, 125,  85, 111, 124, 102, 126, 138, 126, 147, 157, 120, 141, 152,  96, 122, 134,  87, 113, 125, 103, 127, 139,  91, 117, 129,  85, 111, 123,  80, 106, 117,  81, 106, 116,  84, 108, 120,  83, 107, 119,
    83, 107, 119,  79, 105, 117,  79, 104, 114,  77, 101, 110,  74,  97, 106,  73,  95, 105,  77, 100, 107,  78, 101, 109,  67,  94, 101,  62,  91,  97,  62,  91,  97,  95, 120, 126, 109, 131, 137,  95, 119, 125,  87, 111, 118, 102, 125, 131,  99, 122, 128,  93, 117, 123,  90, 116, 122,  95, 120, 124,  98, 123, 128,
   105, 129, 135, 106, 130, 136, 109, 131, 138, 107, 129, 135,  98, 121, 128,  93, 118, 125,  92, 118, 126,  91, 117, 123,  94, 117, 124,  91, 113, 119,  92, 114, 120,  96, 117, 123,  99, 120, 127,  98, 121, 126, 104, 125, 131, 104, 125, 130, 107, 127, 132, 105, 125, 130, 105, 124, 129, 108, 126, 132, 108, 126, 129,
   102, 119, 121, 104, 119, 120,  99, 115, 115,  99, 116, 117,  99, 116, 119,  98, 116, 119,  97, 114, 118, 102, 121, 126,  99, 118, 123,  98, 118, 123, 100, 117, 119, 101, 117, 120, 103, 118, 120,  97, 113, 116,  97, 114, 117,  95, 113, 116,  97, 114, 116,  97, 115, 116,  93, 112, 110,  91, 109, 108,  93, 111, 111,
    95, 113, 114,  92, 110, 114,  90, 109, 112, 104, 121, 123, 103, 120, 121,  95, 112, 113,  99, 117, 119, 100, 118, 119, 110, 127, 129, 106, 124, 125, 101, 116, 119,  99, 114, 116,  97, 112, 115,  96, 111, 112, 115, 129, 126, 134, 146, 146,  85, 103, 106,  82, 100, 103,  80,  99, 101,  90, 107, 108, 119, 134, 134,
   100, 114, 114,  82,  97,  99, 159, 167, 168,  99, 112, 112,  88, 101, 102, 166, 172, 174,  95, 106, 110, 121, 129, 134,  89,  97, 103,  82,  97, 104,  86, 102, 107,  99, 114, 118,  81,  97, 101,  83, 100, 103,  84, 101, 104,  76,  95,  96, 124, 137, 137,  79,  96,  96,  80,  97,  97,  90, 106, 105, 101, 115, 117,
   104, 118, 120,  97, 112, 113,  99, 115, 114, 100, 115, 113,  94, 108, 107, 102, 114, 112, 100, 108, 109, 180, 186, 189,  99, 110, 113,  95, 110, 111,  90, 107, 107,  96, 113, 114,  83, 104, 104,  85, 104, 105,  95, 113, 114,  98, 115, 115, 107, 123, 122, 107, 123, 122, 114, 129, 128, 121, 136, 134, 122, 137, 135,
   153, 163, 162, 132, 146, 143, 120, 136, 132, 145, 156, 154, 151, 161, 159, 115, 129, 126, 164, 173, 172, 173, 179, 177, 132, 141, 140, 156, 163, 162, 167, 173, 172, 162, 168, 169, 210, 217, 213, 162, 170, 168, 158, 170, 168, 124, 142, 141, 159, 171, 171, 154, 167, 165, 143, 157, 155, 150, 163, 161, 125, 143, 141,
   126, 143, 142, 117, 135, 136, 138, 154, 155, 155, 168, 169, 140, 156, 158, 137, 154, 156, 126, 146, 147, 131, 149, 150, 141, 158, 160, 135, 154, 155, 139, 156, 158, 129, 150, 148, 131, 151, 148, 159, 174, 172, 161, 175, 173, 163, 176, 174, 160, 173, 171, 163, 176, 174, 186, 196, 194, 187, 196, 194, 171, 183, 180,
   175, 186, 182, 193, 200, 196, 188, 197, 192, 184, 194, 188, 182, 194, 188, 188, 198, 195, 190, 199, 196, 194, 203, 200, 198, 207, 202, 204, 212, 206, 209, 216, 213, 207, 216, 213, 211, 217, 215, 214, 220, 216, 215, 222, 219, 214, 221, 217, 212, 219, 214, 213, 220, 215, 210, 218, 214, 209, 218, 215, 208, 217, 214,
   208, 218, 215, 205, 216, 213, 205, 216, 213, 204, 216, 213, 213, 222, 219, 219, 226, 223, 223, 228, 226, 222, 229, 225, 222, 229, 226, 220, 228, 224, 223, 230, 226, 221, 229, 226, 223, 230, 227, 222, 229, 226, 222, 230, 227, 224, 231, 228, 225, 232, 229, 225, 233, 230, 224, 232, 229, 225, 234, 231, 227, 236, 233,
   196, 213, 218, 196, 212, 218, 195, 211, 217, 194, 210, 216, 192, 208, 214, 192, 208, 214, 189, 207, 213, 188, 206, 213, 186, 204, 211, 185, 203, 210, 183, 201, 208, 180, 199, 206, 181, 200, 207, 181, 199, 206, 181, 198, 205, 178, 196, 203, 175, 194, 201, 173, 193, 200, 173, 194, 201, 172, 194, 199, 175, 193, 200,
   178, 197, 203, 179, 198, 203, 183, 200, 206, 185, 201, 207, 184, 200, 206, 181, 199, 206, 178, 197, 204, 174, 193, 200, 169, 191, 197, 166, 188, 196, 166, 188, 196, 169, 190, 198, 172, 191, 199, 170, 191, 198, 163, 184, 196, 156, 180, 192, 149, 175, 187, 142, 171, 182, 141, 169, 180, 138, 166, 177, 140, 166, 181,
   141, 167, 181, 142, 168, 182, 140, 167, 181, 139, 165, 181, 138, 165, 181, 140, 165, 181, 138, 164, 180, 133, 159, 176, 119, 150, 169, 111, 144, 163, 109, 142, 161, 103, 136, 156,  96, 130, 149,  92, 125, 144,  91, 123, 142,  96, 126, 146, 101, 130, 150, 101, 130, 149, 102, 129, 149,  93, 124, 143,  89, 119, 138,
    86, 115, 133,  87, 115, 132,  86, 113, 130,  86, 112, 128,  86, 112, 128,  82, 108, 124,  80, 107, 121,  84, 110, 124,  91, 117, 128, 122, 143, 154, 121, 142, 153,  96, 121, 134,  89, 116, 129, 100, 126, 138,  91, 117, 129,  85, 111, 123,  84, 110, 122,  77, 103, 115,  81, 106, 118,  83, 107, 119,  84, 108, 119,
    80, 105, 117,  77, 103, 115,  78, 103, 113,  76,  99, 110,  72,  94, 105,  74,  97, 106,  81, 104, 112,  74,  98, 106,  64,  91,  97,  66,  92,  98,  83, 109, 115, 111, 133, 138, 102, 124, 130,  87, 112, 118,  92, 116, 121, 102, 125, 131,  90, 115, 121,  93, 117, 123,  92, 117, 123,  96, 121, 127, 101, 126, 132,
   110, 133, 139, 106, 130, 136, 107, 130, 135, 100, 123, 129,  96, 120, 126,  97, 120, 127,  91, 117, 122,  93, 118, 120,  87, 113, 115,  95, 117, 122,  86, 110, 116,  98, 120, 126,  96, 118, 124,  93, 117, 123,  97, 120, 126, 102, 124, 130, 102, 124, 130, 102, 122, 127, 107, 126, 131, 106, 124, 129, 102, 119, 122,
   100, 118, 119,  98, 115, 114, 101, 117, 116,  97, 115, 115,  97, 116, 119,  95, 113, 116,  99, 115, 120, 102, 118, 124, 104, 120, 125, 108, 123, 126, 100, 115, 118, 102, 116, 120, 106, 118, 122, 102, 118, 121,  98, 116, 119,  97, 115, 118,  98, 115, 117,  95, 114, 114,  96, 114, 115,  96, 114, 115,  94, 112, 114,
    94, 112, 113,  88, 107, 110,  91, 109, 112,  96, 113, 116,  95, 112, 115, 104, 120, 123,  99, 117, 120, 106, 123, 125, 108, 124, 127, 100, 119, 119, 104, 119, 121,  98, 114, 116,  99, 115, 115,  99, 115, 115, 122, 135, 134, 130, 142, 142,  78,  97,  97,  83, 101, 100,  89, 107, 105,  74,  93,  92, 134, 146, 146,
    95, 112, 110, 100, 115, 112, 154, 164, 163, 101, 113, 113,  98, 112, 112, 136, 144, 143,  95, 108, 111,  79,  90,  94, 154, 162, 165,  64,  78,  85,  83,  98, 103, 120, 132, 136,  79,  96,  99,  85, 101, 104,  85, 103, 104,  83, 100, 102, 115, 128, 128,  82,  98,  97,  95, 109, 108,  98, 113, 112, 105, 121, 120,
   102, 118, 118,  93, 109, 110,  93, 110, 109,  93, 110, 109,  92, 107, 105, 104, 118, 115, 102, 115, 116, 114, 123, 127, 159, 166, 168,  94, 106, 105,  98, 110, 110,  94, 110, 109,  78,  99,  99,  86, 106, 106,  93, 112, 112, 101, 116, 116, 110, 126, 126, 110, 126, 125, 119, 134, 133, 125, 138, 137, 128, 141, 139,
   152, 162, 161, 134, 147, 144, 127, 141, 137, 133, 146, 144, 137, 149, 148, 109, 123, 124, 135, 148, 148, 138, 147, 149, 178, 184, 184, 143, 151, 153, 158, 165, 165, 170, 175, 175, 179, 183, 180, 201, 206, 204, 153, 165, 165, 109, 129, 132, 161, 172, 174, 146, 159, 157, 141, 156, 153, 157, 169, 167, 128, 144, 143,
   120, 138, 137, 116, 136, 135, 131, 149, 149, 147, 162, 161, 133, 152, 153, 136, 154, 155, 129, 147, 148, 126, 145, 146, 143, 160, 161, 130, 150, 152, 147, 164, 164, 131, 151, 151, 126, 147, 146, 150, 166, 164, 165, 178, 176, 161, 174, 172, 156, 170, 168, 162, 175, 173, 173, 185, 182, 203, 210, 207, 169, 182, 179,
   173, 186, 183, 183, 193, 190, 190, 199, 195, 183, 193, 190, 187, 197, 195, 186, 197, 194, 190, 201, 198, 196, 205, 202, 199, 208, 205, 204, 211, 207, 208, 215, 212, 205, 213, 210, 210, 217, 214, 212, 219, 215, 215, 222, 219, 214, 221, 218, 213, 220, 217, 213, 220, 215, 212, 219, 214, 212, 219, 215, 209, 219, 215,
   207, 216, 213, 208, 217, 214, 205, 216, 213, 206, 217, 214, 210, 220, 216, 219, 226, 223, 221, 227, 224, 224, 230, 226, 222, 229, 226, 218, 228, 224, 219, 229, 225, 219, 227, 224, 221, 230, 227, 223, 230, 227, 221, 230, 227, 220, 229, 226, 222, 231, 228, 224, 231, 228, 226, 233, 230, 225, 233, 230, 227, 236, 233,
   194, 210, 216, 194, 211, 217, 193, 210, 216, 194, 210, 216, 191, 208, 214, 191, 208, 214, 188, 207, 213, 187, 206, 212, 186, 204, 211, 183, 202, 209, 182, 201, 208, 180, 199, 206, 179, 198, 205, 179, 197, 204, 176, 195, 202, 175, 194, 201, 174, 193, 200, 170, 191, 198, 170, 192, 199, 174, 193, 200, 175, 194, 201,
   179, 197, 204, 181, 200, 205, 181, 200, 205, 182, 202, 206, 182, 201, 206, 180, 199, 205, 179, 197, 204, 176, 196, 203, 175, 193, 200, 172, 193, 200, 171, 191, 199, 174, 192, 199, 174, 193, 201, 173, 192, 200, 166, 187, 196, 158, 181, 192, 149, 175, 186, 144, 171, 182, 143, 170, 181, 142, 169, 180, 142, 168, 180,
   141, 167, 181, 139, 166, 180, 140, 166, 181, 139, 165, 181, 139, 166, 182, 140, 165, 181, 136, 163, 179, 132, 160, 176, 119, 150, 167, 111, 144, 161, 105, 138, 156, 101, 135, 153,  95, 128, 148,  91, 125, 144,  89, 122, 141,  98, 127, 148,  98, 128, 148, 102, 130, 150,  99, 125, 145,  94, 120, 141,  88, 116, 133,
    88, 116, 133,  88, 115, 132,  86, 112, 129,  86, 112, 128,  84, 109, 125,  83, 109, 125,  82, 108, 123,  87, 113, 127, 112, 135, 146, 120, 141, 152, 103, 126, 139,  87, 113, 126,  99, 125, 138,  93, 119, 131,  84, 110, 122,  86, 112, 124,  81, 107, 119,  79, 105, 116,  82, 107, 118,  84, 108, 118,  84, 109, 119,
    78, 105, 116,  79, 105, 116,  75, 100, 110,  75, 100, 110,  70,  94, 104,  78, 100, 110,  77, 100, 108,  68,  93, 100,  66,  93, 100,  76, 101, 107, 107, 129, 134, 103, 125, 130,  98, 119, 125,  87, 111, 116, 104, 126, 132,  96, 119, 125,  93, 117, 123,  93, 117, 123,  95, 120, 126, 100, 124, 130, 103, 128, 134,
   105, 129, 135, 113, 135, 141, 100, 123, 129,  97, 120, 126,  96, 120, 126,  93, 117, 123,  94, 119, 121,  90, 115, 117,  93, 117, 119,  91, 115, 120,  93, 116, 121,  95, 117, 123,  94, 117, 123,  90, 114, 119,  93, 118, 123,  96, 121, 125,  99, 121, 127, 100, 120, 125, 103, 122, 127, 102, 121, 125, 102, 120, 122,
   102, 120, 121,  97, 115, 115,  94, 112, 112,  92, 111, 111,  99, 116, 118, 102, 119, 122, 105, 121, 124, 105, 119, 123, 106, 121, 125, 105, 120, 123, 102, 116, 122, 103, 117, 123, 101, 115, 121,  96, 113, 117, 101, 118, 121,  99, 116, 119,  99, 116, 118, 101, 118, 120,  95, 112, 115,  95, 113, 116,  88, 107, 110,
    87, 105, 108,  93, 111, 114,  90, 108, 111, 100, 116, 119,  98, 114, 117,  96, 112, 115, 100, 117, 120, 124, 138, 140, 103, 121, 122,  98, 115, 116, 101, 118, 119, 103, 119, 121, 102, 118, 118,  99, 115, 114, 117, 130, 129, 137, 149, 147,  78,  98,  96,  89, 107, 106,  91, 109, 108,  86, 104, 103, 129, 142, 141,
   101, 117, 114,  98, 112, 111, 107, 119, 119, 176, 183, 180, 101, 114, 112,  84,  98,  98, 149, 158, 159,  90, 101, 104,  92, 104, 109, 137, 145, 149,  93, 105, 110,  82,  95,  99, 120, 131, 132,  92, 108, 110,  84, 102, 103,  81, 100, 101,  81,  99,  98, 138, 148, 148,  97, 112, 110, 101, 115, 114, 104, 120, 119,
    99, 116, 115,  92, 108, 107,  94, 110, 109,  95, 111, 109, 107, 122, 120, 100, 113, 111, 101, 114, 115, 110, 121, 124, 133, 138, 140, 135, 144, 144,  98, 110, 109,  90, 104, 106,  82, 101, 102,  90, 108, 110,  98, 114, 115, 109, 124, 123, 110, 126, 125, 117, 131, 130, 114, 130, 127, 133, 145, 143, 134, 147, 145,
   151, 161, 159, 119, 134, 132, 132, 144, 143, 121, 135, 134, 142, 153, 153, 102, 120, 122, 127, 141, 143, 116, 132, 133, 123, 135, 137, 179, 186, 186, 155, 160, 160, 173, 177, 178, 182, 187, 186, 167, 170, 170, 191, 199, 199, 118, 132, 134, 151, 160, 162, 136, 153, 151, 144, 159, 156, 153, 165, 163, 135, 150, 149,
   119, 138, 136, 121, 141, 139, 120, 142, 140, 139, 157, 155, 131, 150, 149, 130, 149, 150, 129, 148, 149, 122, 143, 144, 133, 153, 154, 129, 149, 152, 135, 154, 155, 137, 156, 157, 130, 151, 150, 132, 152, 149, 160, 174, 171, 163, 176, 174, 162, 176, 173, 153, 168, 164, 165, 179, 175, 182, 191, 189, 195, 203, 199,
   171, 184, 180, 175, 188, 184, 189, 199, 195, 184, 195, 192, 186, 197, 194, 192, 201, 198, 192, 201, 198, 197, 205, 202, 197, 206, 202, 204, 211, 208, 209, 215, 212, 205, 213, 209, 205, 213, 208, 212, 219, 215, 213, 220, 216, 212, 220, 217, 214, 221, 218, 209, 218, 212, 211, 218, 213, 210, 219, 215, 211, 219, 215,
   210, 219, 216, 209, 218, 215, 207, 217, 214, 207, 217, 214, 209, 219, 216, 214, 222, 216, 220, 227, 224, 224, 229, 227, 223, 229, 226, 223, 229, 227, 220, 229, 226, 218, 227, 224, 219, 228, 224, 219, 228, 226, 222, 229, 226, 220, 229, 226, 223, 231, 228, 223, 231, 228, 225, 233, 230, 229, 236, 233, 229, 236, 233,
   192, 211, 216, 192, 211, 216, 193, 209, 215, 191, 210, 215, 192, 209, 214, 191, 208, 213, 188, 207, 213, 186, 204, 211, 186, 204, 211, 182, 201, 208, 181, 200, 207, 178, 197, 204, 178, 197, 204, 175, 194, 201, 175, 194, 201, 173, 192, 199, 170, 192, 198, 169, 191, 198, 169, 191, 198, 173, 193, 200, 177, 196, 203,
   180, 197, 204, 180, 198, 204, 183, 201, 206, 180, 199, 204, 181, 200, 205, 180, 199, 205, 180, 198, 205, 180, 198, 205, 177, 196, 203, 175, 194, 201, 173, 193, 200, 174, 193, 200, 174, 193, 202, 172, 192, 200, 166, 187, 196, 160, 182, 193, 154, 179, 189, 147, 173, 184, 145, 171, 183, 146, 172, 183, 143, 169, 182,
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    97, 115, 114, 104, 119, 118, 103, 117, 116, 120, 132, 131,  98, 112, 110, 156, 162, 161, 102, 115, 114,  94, 108, 107, 148, 156, 157, 101, 113, 114,  96, 106, 109, 147, 155, 157, 104, 116, 119,  98, 111, 110, 125, 137, 135,  90, 105, 103,  91, 106, 105,  95, 110, 109,  86, 102, 100, 127, 139, 138,  95, 109, 108,
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   108, 124, 122, 112, 128, 127, 103, 120, 119, 113, 129, 128, 108, 124, 123, 112, 128, 126, 106, 122, 121, 107, 123, 121,  92, 111, 110, 112, 128, 127, 116, 132, 132, 118, 134, 134, 129, 142, 146, 193, 200, 201,  96, 113, 116, 105, 119, 121, 126, 141, 142, 122, 135, 136, 191, 199, 198, 142, 154, 152, 121, 137, 135,
   117, 136, 135, 115, 136, 134, 129, 147, 146, 133, 150, 149, 120, 140, 140, 109, 129, 130, 129, 144, 146, 134, 149, 149, 122, 142, 143, 124, 143, 145, 126, 146, 146, 124, 145, 146, 137, 155, 156, 132, 152, 149, 122, 146, 140, 131, 153, 148, 152, 169, 165, 164, 179, 175, 164, 179, 175, 169, 183, 179, 176, 187, 184,
   175, 186, 183, 176, 187, 184, 190, 199, 195, 186, 197, 190, 196, 204, 201, 201, 208, 204, 197, 206, 203, 199, 208, 205, 202, 210, 205, 201, 209, 204, 205, 212, 209, 201, 209, 206, 195, 206, 200, 196, 207, 201, 203, 213, 207, 208, 217, 212, 211, 218, 215, 209, 218, 215, 207, 216, 214, 202, 214, 208, 205, 216, 210,
   207, 217, 213, 210, 219, 216, 211, 220, 217, 213, 222, 218, 214, 223, 219, 215, 224, 221, 216, 225, 222, 219, 225, 222, 220, 227, 224, 220, 229, 226, 217, 226, 223, 217, 227, 224, 219, 228, 226, 216, 226, 225, 215, 226, 223, 216, 228, 224, 219, 229, 227, 222, 230, 228, 225, 232, 229, 228, 234, 232, 229, 236, 234,
   194, 210, 216, 194, 210, 216, 193, 209, 215, 190, 207, 213, 188, 207, 212, 186, 205, 210, 183, 201, 207, 180, 198, 205, 177, 195, 202, 174, 194, 202, 174, 193, 201, 173, 192, 200, 169, 189, 197, 167, 187, 196, 166, 187, 195, 167, 188, 196, 168, 187, 194, 169, 189, 196, 171, 191, 197, 172, 191, 198, 170, 191, 197,
   171, 191, 198, 166, 188, 196, 168, 189, 197, 169, 191, 198, 172, 192, 198, 174, 193, 200, 177, 196, 202, 180, 198, 205, 178, 196, 203, 175, 194, 201, 174, 193, 201, 173, 192, 200, 174, 193, 201, 173, 192, 200, 173, 192, 199, 168, 189, 197, 164, 184, 195, 159, 182, 192, 160, 181, 193, 157, 179, 191, 155, 179, 191,
   150, 176, 188, 148, 174, 186, 144, 170, 183, 143, 169, 183, 145, 170, 185, 141, 166, 182, 132, 160, 177, 123, 152, 172, 115, 146, 167, 111, 141, 162, 107, 138, 159, 107, 138, 159, 104, 136, 157, 104, 134, 156, 101, 131, 151,  98, 129, 148,  91, 121, 139,  83, 113, 131,  82, 112, 129,  85, 114, 131,  87, 115, 132,
    91, 117, 133,  86, 112, 129,  85, 110, 126,  85, 111, 126, 100, 124, 138, 112, 134, 146, 107, 128, 140,  95, 117, 131,  94, 118, 131,  97, 121, 133,  83, 108, 121,  78, 103, 116,  81, 107, 119,  88, 112, 124,  85, 111, 123,  83, 109, 121,  82, 108, 120,  82, 108, 120,  81, 107, 117,  82, 107, 117,  78, 103, 113,
    73,  98, 107,  71,  96, 106,  69,  94, 104,  75, 100, 109,  72,  97, 105,  94, 117, 125,  88, 112, 118,  76, 100, 106,  86, 110, 115, 113, 133, 138,  98, 119, 124,  91, 113, 118, 103, 125, 130, 103, 125, 130,  98, 121, 127, 106, 128, 134, 110, 132, 138, 103, 126, 132, 107, 128, 134, 101, 123, 128, 101, 123, 128,
   101, 123, 128,  99, 123, 127,  99, 122, 126,  98, 119, 124,  95, 117, 122,  98, 119, 124,  98, 117, 122,  94, 114, 119,  93, 112, 118,  91, 111, 117,  88, 110, 116,  90, 113, 119,  85, 110, 115,  84, 107, 112,  87, 109, 113,  79, 102, 105,  84, 105, 108,  77,  99, 104,  83, 104, 110,  77,  97, 104,  80,  99, 106,
    79,  99, 106,  76,  95, 102,  82, 102, 108,  80, 100, 106,  88, 107, 113,  93, 109, 115, 100, 115, 119, 100, 115, 117, 100, 115, 117, 100, 115, 117, 101, 116, 119, 101, 116, 120, 101, 116, 119,  98, 113, 115,  97, 112, 115, 102, 116, 119, 107, 119, 123, 102, 116, 119,  97, 112, 115,  99, 114, 117, 101, 115, 117,
   101, 114, 118, 100, 115, 118, 103, 118, 121, 101, 116, 119,  99, 114, 116,  98, 114, 113, 113, 127, 126, 105, 122, 121, 108, 123, 125, 108, 124, 126, 105, 120, 123, 101, 117, 118, 104, 117, 119,  96, 110, 111,  85, 101, 100, 126, 137, 135, 143, 153, 151, 102, 118, 116, 112, 128, 125, 103, 120, 117, 125, 140, 139,
   103, 121, 121, 104, 119, 120, 100, 114, 115, 108, 121, 121, 105, 117, 117, 165, 175, 174,  95, 108, 108, 102, 115, 115, 155, 164, 165,  91, 104, 105, 108, 118, 120, 162, 167, 170,  99, 110, 113,  98, 111, 111,  92, 108, 105, 112, 126, 124,  93, 109, 107,  93, 108, 107,  92, 108, 107, 114, 128, 127,  90, 105, 104,
    90, 106, 105,  96, 109, 109,  95, 109, 111, 104, 118, 121,  91, 109, 110,  78,  96,  97,  94, 108, 110,  97, 110, 112, 114, 125, 128, 102, 115, 118, 103, 116, 118,  82,  97, 100, 159, 167, 171, 116, 122, 124, 118, 131, 132, 120, 134, 132, 132, 143, 143, 131, 143, 140, 135, 147, 141, 140, 152, 147, 116, 131, 127,
   100, 117, 114, 105, 123, 121, 101, 118, 117, 110, 126, 125, 101, 120, 119, 101, 118, 117, 103, 121, 120,  99, 119, 117, 101, 119, 118, 109, 128, 128, 120, 136, 136, 104, 122, 124, 120, 136, 139, 121, 132, 136, 184, 192, 195, 100, 115, 117, 123, 137, 138, 124, 138, 139, 131, 144, 144, 189, 198, 195, 118, 132, 133,
   123, 139, 140, 123, 141, 141, 133, 149, 148, 136, 152, 152, 112, 133, 132, 105, 125, 126, 120, 137, 139, 128, 142, 145, 127, 145, 146, 122, 141, 142, 118, 139, 139, 123, 143, 144, 127, 147, 147, 127, 147, 146, 124, 147, 143, 128, 151, 148, 151, 168, 165, 160, 174, 172, 164, 179, 175, 167, 181, 177, 176, 188, 184,
   175, 186, 183, 176, 187, 184, 175, 186, 181, 198, 206, 201, 194, 203, 200, 200, 207, 204, 198, 207, 204, 199, 208, 203, 203, 211, 206, 201, 210, 204, 203, 211, 209, 199, 208, 205, 193, 205, 201, 194, 206, 200, 199, 209, 205, 204, 213, 210, 207, 215, 212, 207, 216, 213, 208, 217, 214, 206, 217, 211, 203, 215, 209,
   207, 217, 211, 209, 218, 216, 212, 221, 218, 214, 223, 220, 213, 222, 218, 215, 224, 221, 216, 225, 222, 220, 227, 224, 220, 227, 224, 220, 228, 225, 217, 226, 223, 214, 226, 223, 217, 226, 225, 218, 226, 225, 216, 226, 224, 217, 227, 225, 218, 228, 226, 220, 228, 226, 224, 233, 230, 227, 234, 231, 230, 237, 235,
   193, 209, 215, 193, 208, 214, 190, 207, 212, 188, 207, 212, 187, 206, 211, 183, 201, 208, 179, 198, 205, 176, 196, 202, 172, 193, 200, 173, 193, 201, 169, 190, 198, 169, 189, 197, 168, 187, 195, 165, 187, 195, 166, 186, 194, 164, 185, 193, 164, 186, 193, 168, 189, 195, 167, 189, 195, 167, 190, 196, 167, 189, 196,
   167, 188, 197, 165, 187, 195, 166, 188, 196, 168, 189, 197, 170, 190, 198, 173, 192, 199, 175, 194, 200, 175, 194, 201, 175, 194, 201, 173, 192, 200, 173, 192, 200, 173, 193, 200, 174, 193, 201, 173, 192, 199, 173, 192, 200, 169, 189, 197, 165, 186, 197, 163, 185, 196, 162, 184, 195, 160, 182, 194, 155, 179, 191,
   151, 177, 189, 149, 174, 188, 144, 171, 184, 143, 170, 184, 144, 170, 184, 140, 166, 182, 131, 159, 176, 123, 152, 171, 114, 144, 166, 111, 141, 162, 109, 139, 160, 108, 139, 160, 104, 135, 156, 105, 135, 155, 101, 131, 150,  94, 125, 145,  81, 114, 131,  83, 113, 130,  82, 112, 129,  85, 114, 131,  87, 115, 131,
    89, 115, 132,  89, 114, 130,  86, 111, 127,  94, 119, 134, 108, 131, 144, 107, 129, 141,  99, 121, 135,  93, 116, 131,  97, 120, 134,  85, 110, 124,  75, 101, 115,  78, 104, 118,  82, 106, 121,  89, 113, 124,  86, 111, 124,  84, 109, 121,  84, 109, 121,  84, 109, 120,  81, 107, 117,  79, 104, 114,  75, 101, 111,
    71,  97, 105,  69,  94, 104,  72,  97, 107,  82, 105, 114,  92, 115, 123,  84, 107, 115,  73,  99, 105,  77, 102, 108, 101, 123, 128, 112, 132, 137,  94, 115, 120,  96, 118, 123, 110, 131, 135, 100, 122, 127, 104, 126, 131, 112, 134, 139, 105, 128, 134, 101, 124, 131, 101, 123, 128, 100, 123, 129,  99, 122, 128,
    95, 121, 124, 100, 122, 128,  98, 121, 126,  96, 118, 123, 102, 122, 127,  95, 117, 122,  93, 115, 120,  94, 115, 120,  93, 114, 119,  89, 111, 117,  89, 111, 117,  90, 113, 119,  87, 109, 115,  87, 109, 113,  84, 105, 110,  79, 101, 106,  76,  98, 103,  75,  97, 103,  76,  98, 104,  73,  95, 101,  73,  94, 100,
    71,  93,  99,  76,  97, 104,  76,  96, 102,  81, 100, 106,  83, 102, 109,  95, 111, 118,  92, 108, 114,  98, 114, 116, 100, 115, 117, 100, 116, 118,  93, 111, 113,  95, 111, 115,  95, 109, 113,  88, 103, 106,  93, 106, 108, 105, 118, 120, 105, 116, 119, 104, 116, 119,  99, 113, 116, 102, 116, 119,  99, 114, 116,
   102, 116, 119, 100, 115, 118, 106, 119, 123, 100, 116, 119,  97, 112, 114, 101, 117, 116, 114, 129, 128, 109, 124, 122, 106, 120, 121, 105, 119, 122, 108, 122, 125, 105, 119, 121, 102, 116, 118,  96, 110, 109,  93, 108, 107, 120, 132, 130, 131, 143, 141, 117, 132, 129, 109, 125, 123, 109, 125, 122, 126, 141, 139,
   103, 121, 121, 100, 114, 118, 103, 118, 122,  98, 111, 114, 126, 138, 138, 139, 149, 147, 124, 134, 135, 102, 115, 117, 115, 127, 129, 134, 145, 146, 110, 121, 124, 110, 120, 124, 151, 159, 161, 100, 113, 113,  96, 113, 110, 107, 123, 120,  87, 105, 104,  90, 108, 107,  87, 105, 104,  87, 104, 103, 113, 127, 126,
    95, 110, 109,  96, 110, 110,  96, 109, 111, 101, 116, 119,  88, 106, 108,  89, 106, 108,  86, 104, 104, 100, 115, 117, 109, 123, 125, 100, 115, 117,  91, 107, 110,  88, 103, 106,  86,  99, 102, 188, 193, 196, 120, 130, 132, 119, 132, 133, 133, 144, 144, 137, 147, 146, 146, 155, 153, 134, 147, 144, 103, 118, 114,
   101, 119, 116,  99, 117, 116,  97, 115, 115, 101, 118, 119, 104, 121, 122,  96, 114, 113, 101, 120, 120,  91, 113, 111, 103, 122, 120,  98, 118, 119, 121, 137, 138, 102, 120, 122, 116, 131, 135, 122, 138, 143,  91, 106, 111, 185, 192, 193, 123, 136, 136, 121, 136, 136, 134, 147, 146, 131, 145, 146, 181, 189, 189,
   115, 131, 133, 125, 140, 141, 129, 145, 144, 125, 142, 141, 115, 134, 134, 106, 126, 127, 110, 130, 131, 117, 136, 136, 127, 143, 145, 122, 142, 143, 119, 140, 141, 126, 145, 146, 125, 146, 145, 129, 150, 149, 122, 145, 142, 126, 149, 145, 143, 162, 159, 156, 171, 169, 165, 179, 176, 167, 181, 177, 171, 185, 181,
   175, 185, 182, 175, 186, 183, 176, 188, 183, 183, 194, 188, 204, 211, 208, 200, 207, 203, 200, 207, 202, 197, 208, 202, 205, 213, 208, 199, 208, 202, 199, 209, 202, 199, 208, 205, 189, 203, 198, 191, 203, 199, 197, 207, 204, 204, 213, 210, 206, 215, 212, 208, 217, 212, 207, 217, 211, 208, 217, 211, 206, 218, 212,
   205, 215, 212, 210, 218, 215, 213, 221, 218, 212, 222, 219, 214, 223, 220, 218, 224, 221, 219, 226, 223, 220, 227, 224, 221, 228, 225, 220, 227, 224, 218, 227, 224, 213, 224, 221, 212, 223, 221, 215, 226, 224, 216, 227, 225, 216, 227, 225, 217, 227, 225, 217, 228, 226, 223, 232, 229, 224, 233, 231, 229, 235, 234,
   193, 209, 215, 190, 207, 212, 190, 207, 213, 186, 205, 211, 182, 200, 208, 177, 199, 205, 174, 196, 202, 171, 193, 200, 170, 191, 199, 168, 189, 197, 169, 189, 197, 168, 187, 195, 165, 185, 193, 163, 184, 192, 159, 183, 191, 160, 183, 191, 164, 185, 192, 164, 186, 192, 165, 187, 193, 165, 187, 194, 162, 187, 193,
   162, 186, 194, 162, 186, 194, 162, 186, 194, 167, 188, 196, 166, 187, 195, 169, 189, 197, 171, 190, 198, 170, 190, 197, 171, 190, 198, 169, 189, 197, 170, 190, 198, 172, 191, 199, 174, 193, 200, 174, 193, 200, 173, 192, 200, 170, 190, 198, 167, 187, 197, 165, 186, 196, 163, 184, 196, 161, 183, 195, 156, 180, 192,
   153, 176, 190, 147, 174, 187, 144, 171, 185, 143, 170, 184, 144, 169, 185, 140, 166, 182, 131, 159, 176, 122, 152, 170, 115, 145, 166, 114, 143, 164, 109, 140, 161, 107, 139, 159, 105, 136, 156, 104, 134, 153,  97, 127, 146,  90, 120, 139,  79, 111, 128,  83, 113, 129,  84, 113, 130,  87, 115, 132,  88, 115, 132,
    90, 116, 132,  90, 114, 131,  91, 116, 131, 101, 124, 139, 104, 128, 140, 102, 124, 137,  94, 117, 132,  96, 119, 134,  88, 113, 128,  78, 104, 118,  76, 102, 116,  78, 104, 118,  86, 110, 125,  89, 113, 125,  85, 110, 123,  85, 110, 122,  84, 109, 121,  84, 109, 120,  78, 105, 115,  79, 104, 114,  70,  97, 107,
    68,  95, 105,  69,  94, 104,  84, 109, 116,  99, 121, 129,  82, 107, 114,  74, 100, 107,  74, 100, 108,  84, 108, 115, 109, 131, 136, 102, 124, 129,  91, 113, 118, 106, 127, 132, 106, 128, 132, 101, 124, 128, 113, 135, 140, 108, 130, 135, 101, 123, 128, 101, 123, 128, 101, 123, 128, 100, 124, 128,  99, 122, 128,
    97, 122, 128,  99, 121, 127,  98, 121, 126,  98, 120, 125,  96, 118, 123,  91, 113, 118,  92, 114, 119,  95, 116, 121,  91, 113, 118,  90, 111, 118,  88, 110, 116,  85, 107, 113,  88, 110, 116,  86, 106, 112,  85, 105, 110,  75,  97, 102,  79, 101, 106,  73,  96, 101,  74,  97, 103,  71,  93,  99,  73,  95, 101,
    70,  92,  98,  75,  95, 100,  72,  92,  97,  78,  98, 103,  83, 102, 108,  90, 107, 113,  92, 109, 113,  97, 112, 115,  96, 114, 116,  94, 111, 113,  93, 110, 113,  93, 107, 113,  89, 104, 109,  89, 103, 106,  94, 107, 109,  99, 112, 113,  99, 112, 113,  99, 113, 112,  98, 112, 111,  98, 112, 114, 104, 119, 121,
   102, 116, 119, 102, 116, 119, 102, 116, 119, 102, 117, 119,  99, 113, 115, 106, 120, 119, 115, 128, 128, 111, 123, 123, 107, 120, 121, 105, 118, 120, 107, 120, 122, 105, 118, 120,  97, 111, 112,  93, 108, 107,  96, 110, 109, 123, 134, 133, 116, 128, 128, 134, 145, 144, 112, 126, 126, 107, 122, 120, 122, 136, 134,
   103, 116, 116, 103, 118, 121, 103, 118, 121, 100, 113, 117, 128, 141, 140, 104, 116, 114, 167, 174, 174, 109, 122, 122, 102, 116, 119, 162, 171, 171, 117, 129, 131, 110, 121, 125, 161, 166, 173,  89, 103, 108,  91, 106, 106,  89, 107, 105, 110, 125, 124,  93, 109, 108,  88, 106, 105,  90, 106, 105, 109, 123, 123,
    92, 108, 107,  97, 110, 110, 104, 117, 119,  98, 113, 116,  89, 106, 108,  86, 104, 104,  90, 107, 106, 103, 118, 119, 100, 116, 116,  97, 112, 114,  90, 106, 109,  89, 105, 108, 100, 112, 115, 132, 138, 141, 168, 172, 174, 117, 127, 130, 120, 129, 131, 150, 157, 158, 147, 156, 155, 121, 135, 133,  98, 117, 114,
    94, 112, 110,  94, 112, 111,  99, 114, 116, 104, 119, 120, 103, 119, 120,  95, 115, 114,  98, 118, 118,  92, 112, 113, 105, 123, 122,  98, 119, 118, 113, 129, 130, 102, 118, 121, 107, 124, 125, 120, 136, 137,  96, 114, 116, 110, 125, 127, 193, 200, 200, 117, 131, 131, 132, 145, 145, 126, 141, 142, 138, 151, 152,
   172, 182, 182, 127, 141, 143, 131, 147, 148, 125, 143, 143, 105, 125, 126, 102, 121, 122, 112, 130, 132, 122, 140, 141, 118, 137, 138, 120, 141, 142, 128, 148, 149, 123, 144, 145, 121, 142, 143, 129, 149, 150, 128, 149, 148, 128, 150, 147, 143, 161, 158, 149, 165, 162, 162, 176, 173, 167, 181, 177, 170, 184, 180,
   176, 187, 185, 174, 185, 181, 178, 189, 186, 181, 191, 187, 195, 203, 200, 203, 210, 207, 199, 205, 200, 196, 207, 201, 203, 210, 205, 200, 208, 202, 193, 205, 198, 193, 204, 201, 193, 204, 201, 191, 203, 199, 195, 206, 203, 203, 212, 209, 206, 215, 212, 205, 214, 210, 208, 217, 214, 208, 217, 214, 210, 219, 215,
   208, 217, 214, 209, 218, 215, 212, 220, 217, 213, 222, 219, 214, 223, 220, 219, 225, 222, 218, 225, 222, 220, 227, 224, 222, 229, 226, 221, 228, 225, 221, 228, 226, 216, 226, 223, 214, 225, 222, 213, 225, 223, 214, 225, 223, 217, 228, 226, 218, 228, 226, 219, 228, 227, 220, 230, 227, 223, 232, 230, 227, 235, 233,
   192, 208, 214, 190, 207, 213, 187, 206, 211, 182, 201, 208, 180, 199, 206, 174, 196, 202, 172, 193, 201, 168, 192, 199, 167, 190, 196, 167, 188, 196, 166, 187, 195, 166, 187, 195, 162, 184, 192, 159, 182, 190, 160, 183, 191, 160, 183, 191, 160, 183, 191, 161, 184, 190, 162, 184, 190, 161, 185, 191, 161, 184, 191,
   162, 185, 193, 161, 184, 192, 164, 186, 194, 166, 187, 195, 166, 187, 195, 167, 187, 195, 166, 187, 195, 164, 186, 194, 165, 186, 194, 164, 186, 194, 168, 188, 196, 169, 190, 198, 172, 191, 199, 173, 192, 200, 173, 192, 200, 169, 189, 199, 167, 187, 198, 167, 187, 198, 165, 185, 196, 162, 184, 196, 157, 179, 192,
   153, 177, 190, 148, 174, 188, 144, 171, 185, 145, 171, 185, 144, 169, 183, 139, 164, 181, 131, 158, 173, 121, 150, 167, 113, 144, 163, 110, 141, 160, 111, 141, 160, 107, 138, 157, 107, 137, 157,  98, 129, 148,  93, 123, 142,  85, 116, 134,  80, 111, 130,  84, 113, 130,  85, 114, 131,  86, 114, 131,  89, 115, 132,
    90, 115, 131,  90, 115, 132,  98, 122, 137, 101, 124, 139,  99, 122, 136,  96, 119, 133,  94, 117, 132,  94, 117, 132,  81, 107, 121,  73,  99, 113,  76, 103, 115,  80, 106, 118,  88, 112, 124,  88, 112, 124,  83, 109, 121,  82, 108, 120,  86, 109, 122,  83, 108, 119,  79, 104, 114,  75, 101, 111,  66,  93, 103,
    64,  91, 100,  85, 111, 117, 103, 126, 134,  79, 104, 111,  72,  99, 106,  74, 100, 107,  79, 102, 110,  93, 115, 122, 111, 133, 138,  95, 117, 122,  94, 116, 121, 109, 129, 134, 108, 129, 134, 111, 132, 137, 108, 130, 135, 102, 124, 129, 102, 124, 129, 100, 122, 127, 100, 122, 127, 101, 123, 128,  97, 121, 125,
    98, 121, 127,  97, 120, 125,  96, 119, 125,  96, 118, 123,  96, 118, 123,  97, 118, 123,  95, 116, 121,  92, 114, 119,  92, 112, 117,  94, 114, 120,  94, 114, 120,  87, 109, 115,  86, 105, 112,  83, 103, 108,  78,  98, 103,  76,  97, 102,  78, 100, 106,  72,  96, 101,  71,  94, 100,  66,  88,  94,  70,  91,  98,
    73,  93,  99,  67,  87,  93,  69,  89,  94,  75,  95, 100,  85, 104, 109,  85, 104, 109,  85, 102, 106,  89, 107, 110,  90, 107, 113,  87, 104, 109,  86, 101, 107,  81,  96,  99,  80,  95, 100,  83,  97,  99,  94, 107, 109,  94, 107, 109,  98, 111, 111,  95, 109, 108,  99, 113, 111,  97, 112, 114,  96, 111, 113,
    98, 113, 115, 103, 116, 119,  98, 111, 113,  98, 111, 112, 100, 114, 114, 105, 117, 117, 108, 120, 120, 107, 119, 119, 110, 122, 124, 102, 114, 116, 106, 119, 121, 102, 116, 117,  97, 112, 113,  94, 108, 108, 100, 113, 113, 122, 133, 133,  99, 112, 112, 144, 153, 153, 114, 127, 126, 108, 122, 120, 121, 134, 132,
    97, 111, 111, 104, 117, 119, 107, 119, 122, 102, 115, 118, 129, 140, 138, 119, 130, 128, 161, 167, 167,  99, 112, 112, 121, 133, 134, 147, 158, 157, 118, 129, 131, 111, 123, 125, 108, 118, 126, 145, 154, 159,  91, 106, 109,  91, 108, 106,  95, 111, 110,  95, 111, 109,  89, 105, 104,  93, 108, 107,  95, 110, 109,
   113, 126, 125,  98, 112, 112,  98, 112, 114,  99, 114, 116,  85, 102, 103,  79,  98,  97, 103, 119, 118,  93, 111, 109,  94, 110, 111,  94, 111, 114,  87, 104, 105,  87, 103, 105, 103, 115, 117, 128, 135, 137, 169, 174, 175, 106, 111, 112, 129, 136, 138, 146, 153, 153, 134, 144, 144, 110, 125, 124,  92, 112, 110,
    94, 113, 112,  91, 109, 110, 100, 114, 117, 100, 115, 114, 109, 123, 122,  98, 115, 113,  96, 114, 115,  87, 107, 108, 103, 121, 122,  96, 113, 114, 107, 122, 124, 100, 118, 118, 105, 123, 121, 115, 132, 128,  93, 113, 110, 112, 129, 126, 132, 140, 140, 185, 191, 192, 120, 132, 134, 120, 136, 136, 119, 135, 137,
   146, 158, 157, 166, 176, 175, 126, 141, 142, 119, 138, 139,  99, 119, 120, 100, 121, 123, 109, 129, 130, 111, 131, 132, 120, 139, 140, 120, 140, 141, 127, 147, 148, 123, 144, 145, 126, 146, 147, 128, 148, 149, 135, 155, 154, 129, 149, 148, 144, 161, 159, 150, 167, 164, 158, 172, 170, 165, 178, 175, 167, 181, 177,
   175, 185, 182, 176, 187, 184, 180, 191, 188, 181, 192, 189, 190, 200, 195, 204, 211, 206, 198, 207, 201, 198, 207, 201, 199, 207, 202, 201, 208, 203, 190, 201, 195, 186, 200, 194, 192, 202, 199, 192, 203, 200, 194, 205, 201, 202, 211, 207, 206, 215, 211, 207, 216, 212, 208, 217, 212, 209, 219, 215, 209, 218, 215,
   208, 218, 215, 208, 218, 215, 213, 221, 218, 214, 222, 219, 216, 223, 220, 218, 225, 222, 220, 227, 224, 221, 228, 225, 221, 228, 225, 223, 230, 227, 223, 230, 226, 219, 227, 226, 216, 226, 224, 213, 225, 223, 213, 224, 222, 216, 226, 224, 217, 228, 226, 218, 229, 227, 218, 229, 227, 222, 231, 228, 224, 233, 230,
   190, 206, 213, 187, 205, 211, 184, 203, 210, 180, 199, 206, 175, 197, 203, 173, 194, 201, 170, 192, 199, 167, 190, 198, 165, 187, 195, 166, 187, 194, 166, 187, 194, 163, 184, 192, 160, 182, 190, 158, 181, 189, 158, 181, 189, 159, 182, 191, 162, 184, 192, 164, 185, 192, 161, 184, 190, 160, 184, 190, 160, 183, 190,
   162, 184, 192, 160, 183, 191, 161, 183, 191, 162, 184, 193, 161, 184, 193, 162, 185, 194, 159, 184, 191, 158, 183, 191, 159, 183, 191, 162, 184, 192, 165, 186, 194, 170, 189, 197, 172, 191, 199, 172, 191, 199, 170, 191, 199, 168, 189, 198, 167, 188, 199, 166, 186, 197, 165, 185, 196, 161, 183, 194, 156, 179, 191,
   152, 176, 189, 147, 173, 187, 147, 173, 187, 145, 172, 186, 143, 169, 182, 137, 162, 178, 128, 156, 172, 118, 148, 165, 116, 146, 164, 113, 143, 162, 112, 142, 161, 108, 139, 158, 103, 134, 153,  97, 127, 146,  91, 121, 140,  83, 114, 133,  81, 111, 130,  85, 114, 132,  86, 114, 131,  86, 114, 131,  90, 116, 132,
    91, 116, 132,  95, 120, 135, 102, 126, 140,  98, 122, 135,  96, 120, 133,  95, 119, 132,  95, 119, 132,  85, 110, 124,  76, 102, 116,  75, 102, 115,  80, 106, 118,  83, 109, 121,  91, 115, 127,  87, 112, 124,  83, 108, 120,  83, 107, 119,  84, 108, 120,  83, 108, 118,  76, 101, 111,  69,  95, 105,  69,  96, 104,
    89, 113, 121,  93, 118, 125,  82, 107, 113,  74, 100, 107,  75, 100, 110,  76, 102, 109,  83, 106, 114, 105, 126, 132, 108, 129, 134,  93, 115, 120, 100, 122, 127, 116, 137, 142, 113, 135, 140, 108, 130, 135, 103, 125, 130, 102, 124, 129, 100, 122, 127, 100, 122, 127, 100, 122, 127,  97, 119, 124,  98, 120, 125,
   100, 122, 128,  94, 118, 124,  94, 118, 122,  96, 118, 123,  95, 118, 123,  96, 118, 123,  98, 119, 124,  97, 118, 123,  93, 113, 118,  88, 109, 115,  87, 109, 114,  82, 103, 109,  83, 102, 108,  80, 100, 104,  79,  99, 104,  75,  97, 102,  75,  98, 103,  73,  97, 101,  68,  92,  97,  69,  91,  97,  71,  91,  97,
    66,  87,  94,  70,  90,  96,  72,  91,  96,  73,  93,  98,  77,  97, 102,  81, 100, 105,  82,  99, 103,  85, 103, 108,  90, 106, 112,  85, 100, 106,  76,  92,  98,  78,  91,  98,  74,  87,  94,  78,  92,  98,  87, 100, 104,  93, 105, 108,  92, 105, 106,  95, 108, 108,  96, 110, 109,  94, 107, 109, 100, 113, 115,
    97, 110, 112,  97, 109, 112, 101, 113, 114, 103, 114, 114, 102, 113, 113, 105, 117, 116, 104, 116, 115, 101, 113, 113, 105, 117, 118, 106, 118, 120, 102, 114, 116,  96, 110, 112,  96, 110, 112,  95, 108, 110, 112, 123, 123, 107, 119, 119,  91, 104, 104, 148, 157, 157, 112, 124, 123, 102, 115, 113, 114, 126, 124,
    99, 112, 112, 104, 117, 118, 102, 115, 117, 103, 115, 117, 130, 141, 138, 119, 130, 128, 124, 134, 134, 156, 164, 165, 118, 129, 128, 109, 120, 120, 161, 169, 168, 114, 127, 126, 103, 116, 117, 157, 165, 171,  84,  98, 101,  91, 106, 104,  95, 110, 108, 102, 115, 113,  97, 110, 109,  97, 111, 109,  92, 106, 106,
   111, 123, 123, 102, 116, 115,  98, 113, 114,  99, 114, 115,  79,  97,  98,  94, 111, 110, 105, 121, 120,  87, 105, 104,  94, 111, 110,  91, 108, 107,  84, 102, 102,  91, 108, 107, 116, 128, 128, 117, 128, 128,  94, 105, 107, 177, 183, 184, 133, 138, 139, 139, 146, 146, 120, 132, 133,  97, 115, 115,  91, 112, 112,
    89, 108, 110,  93, 110, 111,  97, 111, 113, 105, 119, 118, 101, 116, 115,  99, 115, 114,  91, 109, 110,  97, 114, 116,  92, 110, 111,  91, 109, 110, 107, 123, 125, 105, 121, 122, 114, 130, 129, 103, 121, 118,  98, 117, 114, 111, 128, 125, 120, 134, 136, 131, 135, 135, 173, 179, 180, 113, 129, 131, 117, 133, 134,
   111, 127, 130, 170, 182, 180, 155, 166, 168, 105, 125, 127,  98, 119, 121,  99, 120, 122, 105, 126, 127, 107, 128, 129, 118, 138, 139, 115, 135, 136, 117, 137, 138, 121, 141, 143, 122, 143, 145, 125, 146, 147, 136, 155, 156, 133, 153, 152, 139, 158, 156, 157, 171, 170, 156, 171, 168, 162, 176, 173, 167, 181, 177,
   171, 183, 180, 177, 188, 185, 180, 191, 188, 182, 193, 190, 188, 197, 193, 200, 206, 200, 203, 210, 206, 187, 198, 193, 196, 205, 201, 197, 206, 202, 191, 201, 197, 185, 199, 195, 189, 201, 197, 191, 203, 200, 197, 206, 202, 202, 210, 204, 205, 214, 210, 207, 218, 212, 210, 219, 214, 208, 218, 212, 210, 219, 216,
   210, 219, 216, 212, 220, 218, 212, 220, 216, 216, 223, 219, 216, 224, 221, 216, 225, 222, 220, 227, 224, 221, 228, 225, 223, 230, 227, 222, 229, 226, 224, 231, 227, 220, 229, 225, 217, 227, 224, 214, 225, 222, 214, 226, 224, 213, 225, 223, 215, 226, 224, 217, 228, 226, 219, 229, 227, 221, 230, 228, 224, 233, 230,
   187, 206, 211, 185, 204, 211, 183, 202, 209, 179, 199, 205, 175, 197, 203, 174, 195, 202, 171, 192, 200, 169, 190, 198, 166, 187, 195, 164, 185, 192, 166, 187, 194, 160, 183, 189, 159, 181, 190, 158, 181, 189, 162, 183, 191, 162, 185, 192, 164, 185, 192, 166, 187, 193, 163, 185, 191, 161, 184, 190, 160, 183, 190,
   161, 182, 190, 159, 182, 190, 159, 181, 192, 158, 183, 190, 159, 182, 192, 158, 183, 193, 156, 181, 191, 155, 180, 189, 155, 180, 190, 160, 183, 191, 163, 185, 193, 167, 187, 195, 170, 189, 197, 170, 190, 198, 171, 190, 199, 168, 189, 198, 168, 188, 199, 164, 186, 197, 163, 185, 196, 157, 180, 192, 152, 177, 189,
   149, 174, 188, 148, 174, 189, 145, 171, 185, 145, 170, 185, 141, 166, 181, 132, 159, 175, 124, 153, 169, 117, 147, 163, 116, 145, 164, 115, 145, 164, 113, 142, 160, 108, 137, 156, 104, 133, 150,  93, 123, 141,  86, 116, 134,  85, 115, 134,  85, 115, 134,  88, 115, 134,  88, 116, 133,  92, 118, 135,  90, 116, 132,
    89, 115, 130, 101, 126, 140,  96, 120, 134,  93, 116, 130,  97, 121, 132,  96, 120, 133,  90, 114, 126,  79, 105, 117,  74, 100, 114,  77, 103, 117,  81, 107, 119,  85, 110, 122,  89, 113, 125,  87, 111, 123,  85, 109, 121,  85, 109, 121,  82, 107, 118,  79, 104, 114,  71,  98, 108,  71,  97, 105,  94, 117, 124,
    80, 106, 113,  82, 109, 116,  78, 104, 111,  77, 102, 111,  76, 101, 111,  79, 102, 111,  86, 108, 115, 112, 132, 138, 100, 121, 126,  91, 113, 118, 107, 129, 133, 119, 140, 145, 107, 129, 134, 103, 125, 130, 100, 122, 127, 101, 123, 128, 101, 123, 128, 102, 123, 128, 102, 122, 127,  99, 119, 124, 100, 121, 126,
    98, 120, 125,  97, 119, 124,  96, 118, 123,  96, 118, 123,  96, 118, 123,  95, 117, 122,  95, 117, 122,  94, 116, 121,  92, 112, 117,  86, 107, 112,  84, 106, 111,  81, 105, 109,  75,  99, 103,  79, 101, 104,  77,  98, 102,  74,  97, 102,  75,  98, 103,  69,  93,  99,  69,  92,  98,  66,  89,  95,  69,  91,  97,
    65,  87,  93,  65,  85,  92,  67,  86,  92,  72,  92,  97,  74,  93,  98,  75,  94,  98,  81,  98, 104,  86, 102, 108,  86, 102, 108,  75,  91,  99,  67,  84,  92,  68,  84,  91,  71,  85,  93,  76,  89,  96,  81,  95, 101,  83,  98, 102,  81,  96,  99,  92, 105, 109,  91, 104, 107,  91, 104, 106,  93, 105, 109,
    93, 105, 108,  99, 111, 113, 100, 112, 113, 103, 116, 115,  97, 110, 110, 107, 119, 119, 100, 113, 112,  99, 112, 113, 101, 112, 116, 101, 113, 116,  97, 111, 113,  95, 110, 112,  92, 107, 109,  93, 107, 109, 111, 122, 123,  93, 105, 106,  86,  99,  99, 149, 158, 158, 104, 117, 116, 103, 116, 115, 102, 115, 114,
    95, 108, 107, 104, 115, 117, 106, 118, 119, 103, 115, 116, 130, 140, 138, 122, 132, 131, 112, 122, 123, 167, 175, 174, 118, 128, 127, 124, 134, 134, 160, 166, 166, 103, 117, 115, 110, 123, 122, 109, 120, 121, 133, 142, 145,  92, 107, 105,  96, 110, 108,  94, 108, 107, 105, 118, 117,  96, 108, 108,  97, 110, 109,
   108, 122, 120,  96, 111, 109,  91, 107, 105,  92, 108, 107,  87, 102, 103, 102, 119, 117,  97, 113, 112,  86, 104, 103,  92, 110, 109,  86, 105, 106,  81, 102, 103,  98, 114, 115, 104, 119, 120,  95, 110, 111, 105, 119, 121, 129, 134, 135, 155, 161, 163, 131, 140, 142, 114, 126, 129,  92, 108, 111,  92, 111, 113,
    87, 105, 107,  96, 111, 113,  99, 114, 115, 101, 115, 114, 101, 116, 115,  93, 109, 109,  86, 104, 105, 100, 117, 118,  84, 103, 104,  89, 108, 109,  98, 117, 118, 109, 126, 125, 113, 128, 127, 102, 119, 116,  97, 115, 113, 116, 132, 130, 118, 135, 135, 128, 142, 145, 118, 134, 137, 168, 176, 177, 111, 127, 128,
   119, 134, 136, 127, 141, 143, 189, 196, 195, 109, 124, 128,  92, 113, 117, 102, 122, 124, 103, 124, 125, 110, 131, 132, 114, 133, 134, 116, 136, 137, 120, 140, 141, 120, 140, 143, 125, 145, 147, 120, 142, 143, 129, 149, 150, 138, 157, 157, 138, 158, 156, 153, 169, 168, 151, 168, 165, 160, 173, 171, 163, 177, 173,
   169, 183, 179, 174, 186, 183, 181, 192, 189, 181, 192, 187, 185, 195, 192, 199, 205, 202, 191, 201, 198, 193, 204, 202, 191, 201, 198, 192, 202, 199, 190, 201, 198, 185, 198, 195, 190, 201, 198, 192, 203, 200, 195, 206, 203, 202, 211, 205, 206, 214, 211, 211, 218, 215, 211, 218, 213, 211, 219, 216, 211, 220, 217,
   211, 220, 217, 210, 221, 214, 212, 222, 216, 213, 222, 219, 214, 223, 220, 216, 225, 222, 219, 227, 224, 220, 228, 225, 224, 231, 228, 224, 231, 227, 223, 230, 227, 221, 230, 227, 218, 228, 225, 216, 227, 224, 216, 227, 224, 216, 227, 224, 217, 228, 226, 217, 228, 226, 219, 230, 228, 221, 231, 229, 224, 233, 230,
   188, 206, 211, 185, 203, 210, 183, 202, 209, 180, 199, 206, 178, 197, 204, 175, 195, 201, 171, 192, 199, 168, 191, 196, 165, 187, 195, 165, 187, 194, 163, 185, 192, 160, 183, 190, 162, 184, 190, 163, 184, 192, 162, 184, 191, 166, 186, 193, 168, 187, 194, 166, 186, 193, 164, 185, 193, 162, 183, 190, 160, 183, 190,
   157, 180, 188, 158, 181, 189, 157, 179, 190, 156, 181, 191, 156, 181, 191, 155, 181, 191, 153, 179, 189, 150, 178, 188, 155, 181, 191, 160, 184, 192, 165, 186, 194, 166, 187, 195, 167, 188, 196, 167, 188, 197, 167, 188, 198, 168, 188, 199, 165, 186, 197, 164, 186, 197, 160, 183, 194, 152, 178, 189, 151, 177, 189,
   150, 175, 187, 148, 174, 187, 147, 173, 187, 144, 170, 184, 138, 164, 179, 132, 159, 175, 119, 150, 167, 116, 146, 163, 116, 146, 163, 114, 144, 161, 112, 141, 159, 105, 135, 152,  96, 126, 143,  91, 121, 138,  85, 115, 131,  87, 118, 136,  89, 116, 136,  88, 116, 134,  92, 118, 135,  90, 116, 133,  88, 114, 130,
    96, 121, 136, 103, 126, 141,  90, 113, 128,  95, 118, 132,  98, 122, 134,  96, 121, 133,  81, 107, 119,  76, 102, 114,  76, 102, 116,  79, 105, 119,  82, 106, 121,  88, 112, 124,  88, 113, 125,  85, 109, 121,  85, 109, 121,  85, 109, 121,  81, 106, 117,  77, 102, 112,  72,  99, 109,  89, 114, 122,  75, 100, 108,
    77, 102, 110,  86, 110, 117,  79, 105, 112,  78, 103, 113,  76, 102, 112,  81, 103, 113,  96, 118, 124, 111, 131, 136,  96, 117, 122,  95, 117, 122, 114, 134, 139, 111, 132, 137, 101, 122, 127, 102, 123, 128, 101, 123, 128, 101, 123, 128, 101, 122, 129, 100, 121, 127,  99, 120, 125,  99, 119, 124,  99, 119, 124,
    99, 121, 126,  98, 120, 125,  97, 119, 124,  97, 119, 124,  94, 116, 121,  95, 116, 121,  96, 116, 121,  89, 111, 116,  91, 113, 118,  86, 108, 113,  82, 105, 110,  79, 104, 108,  76, 101, 105,  78, 102, 106,  76,  99, 104,  77,  99, 104,  74,  96, 102,  73,  96, 102,  69,  92,  98,  67,  89,  95,  68,  90,  96,
    71,  91,  97,  66,  87,  93,  69,  88,  95,  68,  87,  93,  71,  91,  95,  70,  90,  94,  75,  92,  98,  75,  92,  99,  72,  90,  97,  67,  85,  94,  63,  79,  91,  62,  79,  89,  61,  79,  87,  70,  84,  91,  73,  87,  93,  76,  90,  95,  82,  97, 100,  87, 102, 105,  83,  98, 101,  85, 100, 103,  91, 105, 107,
    94, 106, 109,  94, 107, 109,  96, 110, 110,  95, 107, 107, 100, 111, 112,  99, 111, 112, 100, 112, 114,  90, 102, 104,  94, 107, 109,  95, 108, 111,  93, 106, 108,  93, 107, 109,  91, 106, 108,  90, 103, 106, 105, 116, 118,  86,  99, 101,  89, 101, 101, 144, 154, 152,  96, 109, 109, 106, 119, 118,  92, 106, 106,
   101, 113, 113, 106, 118, 118, 107, 119, 118, 103, 115, 114, 134, 143, 143, 121, 131, 130, 126, 136, 136, 165, 172, 173, 119, 127, 126, 128, 137, 136, 126, 136, 134, 146, 155, 154, 110, 122, 121,  97, 109, 109, 151, 159, 162,  93, 107, 106,  94, 108, 106,  95, 109, 107, 100, 112, 111, 101, 113, 113,  95, 108, 107,
    98, 112, 110, 109, 124, 120,  91, 109, 105,  91, 108, 105,  94, 109, 108, 104, 118, 117,  91, 108, 107,  89, 107, 108,  88, 106, 106,  84, 104, 105,  81, 101, 102,  98, 116, 117,  90, 110, 111,  92, 110, 112, 105, 118, 120, 100, 110, 111, 177, 184, 186, 112, 121, 124, 105, 117, 120,  94, 108, 112,  91, 108, 111,
    88, 107, 110,  95, 112, 114,  96, 111, 113, 105, 119, 120, 100, 115, 117,  91, 107, 110,  93, 110, 112,  93, 111, 113,  88, 106, 107,  89, 107, 108,  92, 110, 112, 109, 125, 125, 118, 133, 134,  94, 111, 110, 107, 124, 123, 111, 128, 128, 116, 134, 135, 117, 135, 137, 100, 119, 123, 123, 138, 142, 160, 169, 173,
   122, 136, 137, 128, 141, 143, 130, 140, 144, 179, 191, 191,  92, 109, 115,  97, 117, 121, 105, 125, 126, 110, 130, 131, 116, 135, 136, 119, 139, 140, 125, 143, 144, 119, 139, 141, 123, 144, 146, 125, 146, 148, 133, 152, 154, 140, 159, 157, 144, 161, 160, 149, 165, 164, 149, 167, 165, 159, 174, 171, 164, 178, 175,
   169, 182, 179, 174, 187, 184, 174, 187, 183, 182, 193, 190, 184, 195, 192, 196, 204, 201, 184, 196, 193, 185, 198, 194, 191, 202, 199, 188, 199, 196, 188, 199, 196, 187, 198, 195, 189, 200, 197, 193, 203, 200, 196, 206, 200, 199, 209, 203, 205, 213, 209, 209, 216, 211, 211, 218, 212, 210, 218, 215, 210, 218, 215,
   211, 220, 217, 212, 222, 215, 212, 222, 216, 215, 224, 221, 214, 224, 221, 218, 226, 223, 221, 228, 225, 222, 229, 226, 224, 231, 228, 224, 231, 228, 225, 232, 229, 222, 230, 227, 220, 229, 226, 218, 227, 224, 219, 228, 225, 218, 228, 225, 219, 229, 226, 219, 229, 226, 221, 230, 228, 221, 230, 228, 223, 232, 229,
   190, 206, 212, 186, 204, 211, 183, 201, 208, 180, 199, 206, 176, 195, 202, 175, 194, 201, 173, 192, 199, 169, 191, 197, 164, 187, 195, 160, 184, 192, 160, 183, 191, 160, 183, 191, 165, 186, 192, 165, 185, 192, 169, 188, 194, 170, 189, 195, 170, 189, 196, 168, 187, 194, 163, 184, 192, 161, 183, 191, 159, 181, 189,
   158, 181, 191, 157, 180, 191, 154, 179, 189, 156, 181, 191, 155, 180, 190, 153, 179, 189, 151, 178, 188, 150, 177, 187, 154, 180, 190, 160, 185, 192, 162, 186, 194, 165, 186, 194, 165, 187, 195, 164, 186, 196, 166, 187, 198, 165, 187, 198, 164, 186, 197, 161, 185, 195, 157, 182, 192, 152, 179, 189, 149, 175, 187,
   149, 175, 187, 146, 172, 184, 145, 171, 186, 140, 167, 180, 137, 163, 178, 125, 154, 170, 120, 151, 167, 119, 148, 165, 116, 146, 163, 115, 145, 162, 113, 142, 159, 106, 135, 152,  95, 125, 142,  87, 119, 135,  87, 117, 134,  91, 119, 137,  92, 119, 140,  94, 121, 138,  93, 119, 136,  94, 120, 136,  94, 120, 135,
   103, 127, 141,  90, 114, 129,  89, 112, 127,  97, 120, 134, 103, 126, 138,  89, 113, 125,  77, 103, 115,  75, 101, 115,  77, 103, 117,  82, 106, 121,  83, 107, 121,  90, 114, 126,  84, 110, 122,  84, 108, 120,  84, 108, 120,  80, 104, 116,  77, 102, 113,  73, 100, 110,  72, 100, 108,  69,  97, 104,  73, 100, 107,
    83, 108, 115,  84, 106, 114,  78, 101, 110,  77, 102, 112,  76, 101, 111,  82, 104, 113, 107, 127, 134, 108, 128, 133,  92, 115, 119, 103, 123, 128, 116, 136, 141, 105, 125, 130, 100, 121, 126, 103, 124, 129, 101, 123, 129, 100, 122, 128, 101, 123, 129, 102, 123, 129,  99, 120, 127,  99, 120, 125,  98, 120, 125,
    96, 118, 123,  97, 119, 124,  97, 119, 124,  97, 119, 124,  95, 116, 121,  96, 116, 121,  93, 113, 118,  94, 114, 119,  88, 110, 115,  82, 104, 109,  78, 102, 107,  80, 105, 109,  76, 101, 105,  78, 103, 107,  78, 101, 106,  76,  99, 104,  71,  95, 101,  67,  91,  97,  72,  94, 100,  68,  91,  97,  69,  91,  97,
    67,  88,  95,  65,  86,  93,  66,  87,  93,  67,  86,  94,  68,  88,  93,  69,  88,  93,  70,  87,  93,  71,  87,  94,  69,  86,  94,  63,  80,  90,  57,  76,  87,  57,  75,  84,  60,  78,  86,  61,  77,  84,  71,  86,  91,  71,  86,  91,  71,  86,  89,  77,  93,  96,  75,  92,  96,  85, 100, 103,  85, 100, 103,
    88, 100, 105,  91, 104, 106,  87, 100, 101,  95, 107, 108, 101, 113, 114,  98, 110, 112,  94, 106, 108,  85,  98, 100,  90, 102, 104,  92, 105, 107,  88, 102, 104,  83,  98, 100,  85,  99, 102,  83,  97, 100,  98, 110, 112,  80,  93,  95,  85,  97,  98, 139, 150, 149,  90, 104, 103, 106, 118, 118,  94, 108, 107,
    97, 109, 109, 106, 118, 117, 111, 122, 120, 113, 124, 122, 132, 142, 141, 131, 141, 140, 123, 133, 133, 128, 137, 137, 155, 161, 162, 133, 142, 141, 127, 136, 135, 157, 166, 164, 108, 121, 118, 101, 113, 111, 135, 142, 144, 116, 124, 124,  95, 110, 108, 101, 115, 113, 102, 115, 113,  99, 112, 111, 106, 120, 118,
    99, 112, 110, 112, 126, 123,  93, 110, 106,  90, 107, 104,  90, 106, 105,  95, 111, 110,  90, 108, 108,  89, 105, 107,  90, 109, 109,  89, 107, 108,  85, 105, 106,  91, 110, 110,  87, 107, 108,  97, 115, 116, 103, 117, 119, 103, 115, 117, 102, 113, 114, 171, 174, 176,  99, 111, 114,  91, 105, 109,  92, 108, 111,
    85, 104, 108,  89, 108, 111,  98, 116, 117,  97, 115, 116,  89, 107, 109,  88, 105, 108,  86, 103, 106,  84, 101, 104,  87, 106, 107,  91, 110, 111,  94, 111, 114, 104, 120, 122, 127, 140, 141,  92, 108, 109, 107, 124, 124, 104, 124, 125, 120, 138, 138, 103, 123, 125, 100, 119, 120, 104, 124, 124, 132, 147, 148,
   158, 161, 161, 128, 140, 144, 120, 134, 137, 108, 122, 126, 163, 176, 178,  97, 114, 118, 102, 122, 125, 110, 130, 133, 115, 134, 137, 114, 133, 136, 123, 141, 143, 122, 140, 143, 124, 143, 145, 125, 145, 146, 131, 152, 150, 141, 159, 158, 142, 159, 159, 148, 164, 163, 152, 168, 167, 157, 171, 169, 163, 176, 173,
   170, 184, 181, 168, 181, 179, 172, 186, 182, 178, 190, 187, 182, 194, 191, 188, 198, 196, 182, 195, 192, 171, 186, 182, 197, 207, 204, 189, 200, 195, 186, 197, 193, 186, 197, 193, 187, 200, 196, 190, 202, 197, 197, 206, 201, 199, 209, 205, 202, 211, 208, 206, 214, 211, 207, 215, 213, 210, 218, 215, 210, 219, 216,
   210, 219, 216, 212, 222, 218, 213, 223, 219, 216, 225, 222, 219, 226, 223, 220, 227, 223, 222, 229, 225, 223, 230, 226, 225, 232, 228, 227, 233, 231, 226, 233, 230, 227, 233, 230, 221, 230, 227, 219, 228, 225, 217, 227, 224, 221, 230, 227, 222, 231, 228, 221, 231, 228, 222, 231, 229, 223, 232, 229, 225, 233, 230,
   190, 206, 212, 188, 205, 211, 184, 202, 209, 180, 199, 206, 179, 198, 205, 175, 194, 201, 171, 191, 198, 168, 190, 196, 164, 186, 193, 161, 184, 191, 161, 184, 192, 164, 186, 193, 168, 188, 194, 168, 188, 193, 171, 190, 195, 172, 191, 196, 169, 188, 195, 164, 186, 192, 161, 183, 191, 159, 181, 189, 157, 180, 189,
   159, 181, 192, 159, 180, 192, 157, 180, 191, 156, 182, 191, 153, 179, 189, 152, 179, 189, 152, 179, 189, 151, 178, 188, 156, 181, 191, 162, 185, 193, 164, 186, 194, 164, 186, 194, 164, 186, 194, 164, 185, 195, 164, 186, 197, 163, 185, 196, 163, 185, 196, 158, 183, 193, 154, 180, 190, 151, 178, 187, 149, 175, 187,
   148, 174, 186, 147, 173, 185, 144, 171, 185, 137, 164, 178, 130, 158, 173, 120, 151, 167, 118, 149, 165, 119, 148, 165, 121, 148, 165, 119, 147, 164, 110, 140, 157, 102, 133, 150,  90, 122, 138,  88, 118, 135,  88, 118, 135,  92, 121, 138,  95, 123, 140,  97, 124, 141,  95, 121, 138,  93, 117, 135, 105, 129, 145,
   100, 123, 138,  89, 112, 126,  92, 116, 128, 102, 125, 137, 101, 124, 136,  84, 109, 121,  76, 102, 114,  77, 103, 116,  80, 104, 119,  83, 106, 121,  84, 108, 122,  91, 115, 126,  84, 110, 122,  85, 110, 121,  84, 108, 120,  83, 108, 118,  79, 104, 113,  73, 100, 110,  72, 100, 107,  74, 101, 108,  78, 104, 111,
    89, 112, 120,  82, 106, 114,  80, 102, 111,  78, 101, 109,  78, 101, 109,  86, 108, 115, 114, 133, 139, 103, 123, 128,  96, 116, 120, 105, 125, 130, 114, 134, 139, 103, 123, 128, 103, 123, 128, 103, 123, 128, 101, 123, 129, 101, 123, 129,  99, 121, 127,  98, 120, 125,  99, 121, 126,  98, 120, 125,  99, 121, 126,
    98, 120, 124,  97, 119, 124,  97, 118, 123,  98, 119, 124,  97, 117, 122,  94, 114, 119,  92, 112, 117,  91, 111, 116,  85, 107, 112,  83, 106, 111,  81, 104, 109,  77, 102, 106,  77, 102, 106,  77, 101, 106,  77, 100, 105,  72,  96, 102,  70,  93,  99,  67,  91,  97,  69,  91,  97,  69,  91,  97,  65,  88,  94,
    66,  88,  94,  65,  87,  93,  68,  87,  94,  68,  87,  94,  69,  87,  94,  67,  86,  91,  65,  83,  89,  63,  81,  88,  66,  83,  90,  59,  78,  87,  55,  74,  83,  55,  74,  82,  51,  69,  77,  59,  76,  82,  67,  81,  87,  65,  80,  85,  67,  83,  86,  70,  85,  89,  74,  89,  93,  81,  96,  99,  80,  95,  99,
    86, 101, 103,  85,  99, 100,  84,  98,  98,  91, 103, 102,  93, 105, 107,  91, 103, 105,  80,  93,  95,  73,  86,  88,  85,  98, 100,  87, 100, 102,  84,  97,  99,  80,  93,  95,  72,  87,  89,  85,  99, 102,  78,  90,  93,  79,  91,  94,  77,  90,  92, 136, 145, 146,  86,  98, 101, 102, 115, 114,  94, 108, 107,
    96, 109, 107, 103, 116, 113, 109, 119, 116, 117, 128, 126, 137, 146, 144, 129, 140, 138, 125, 135, 135, 117, 127, 128, 173, 180, 179, 137, 143, 143, 133, 142, 140, 148, 157, 155, 113, 125, 122, 105, 116, 114,  96, 106, 108, 156, 163, 165, 103, 114, 116, 101, 114, 114, 101, 114, 113,  97, 112, 111,  97, 113, 112,
   120, 134, 131,  99, 114, 112,  95, 111, 108,  95, 111, 109,  98, 112, 110,  97, 114, 113,  93, 109, 108,  88, 106, 108,  89, 107, 108,  89, 107, 108,  87, 106, 105,  84, 105, 103,  89, 109, 106,  96, 114, 112, 108, 123, 121,  99, 112, 112,  92, 104, 106, 166, 173, 175,  97, 107, 111,  96, 108, 113, 100, 114, 118,
    89, 108, 112,  88, 107, 110, 103, 119, 120, 106, 121, 120,  93, 111, 110,  83, 103, 102,  87, 104, 106,  87, 105, 107,  92, 109, 111,  87, 106, 108,  96, 112, 114,  97, 112, 114, 128, 141, 141,  99, 116, 116, 102, 120, 119, 105, 126, 125, 113, 130, 129,  97, 118, 116,  94, 116, 113, 107, 125, 124, 108, 126, 126,
   160, 168, 172, 137, 146, 149, 114, 128, 131, 103, 119, 123, 138, 153, 155, 136, 153, 155, 106, 125, 128, 110, 129, 132, 114, 133, 136, 114, 134, 136, 122, 141, 142, 125, 144, 143, 125, 144, 142, 130, 149, 148, 132, 151, 148, 140, 158, 155, 149, 165, 162, 147, 163, 162, 149, 165, 164, 156, 170, 168, 164, 177, 175,
   169, 182, 180, 169, 182, 180, 170, 183, 181, 175, 188, 185, 180, 193, 189, 184, 195, 192, 179, 193, 189, 168, 185, 181, 180, 194, 190, 197, 206, 203, 182, 197, 192, 184, 197, 193, 188, 200, 196, 189, 200, 196, 195, 205, 201, 198, 208, 204, 200, 209, 206, 204, 213, 210, 208, 217, 214, 209, 218, 215, 208, 217, 214,
   211, 219, 216, 213, 222, 218, 214, 223, 219, 216, 225, 222, 218, 225, 222, 219, 227, 223, 222, 229, 225, 224, 230, 226, 226, 232, 228, 228, 233, 230, 229, 234, 232, 228, 233, 231, 227, 233, 230, 222, 230, 227, 219, 228, 225, 220, 229, 226, 222, 231, 228, 224, 233, 230, 226, 233, 231, 225, 233, 231, 225, 234, 231,
   192, 207, 213, 188, 204, 211, 183, 201, 208, 179, 198, 205, 176, 194, 201, 175, 194, 201, 170, 191, 198, 167, 189, 195, 163, 186, 194, 160, 183, 191, 162, 185, 192, 168, 188, 195, 170, 190, 195, 172, 190, 196, 173, 192, 197, 172, 191, 197, 168, 187, 195, 161, 182, 190, 157, 180, 188, 156, 181, 188, 158, 180, 191,
   159, 181, 192, 159, 181, 192, 159, 181, 191, 156, 180, 189, 152, 179, 188, 151, 178, 187, 151, 179, 187, 152, 179, 189, 158, 181, 191, 162, 186, 194, 165, 186, 194, 165, 186, 194, 163, 186, 194, 162, 185, 194, 162, 184, 195, 161, 184, 195, 160, 185, 195, 158, 182, 192, 153, 179, 189, 150, 176, 187, 150, 176, 187,
   146, 172, 185, 147, 172, 185, 140, 167, 181, 136, 163, 177, 127, 156, 171, 121, 151, 168, 119, 149, 166, 122, 150, 167, 121, 149, 166, 116, 145, 162, 107, 137, 154,  97, 130, 147,  91, 123, 139,  90, 120, 137,  91, 121, 138,  95, 124, 141,  99, 126, 143,  99, 125, 142,  94, 119, 137,  99, 123, 139, 107, 130, 146,
    92, 115, 130,  89, 113, 127,  95, 118, 130, 109, 131, 143,  89, 114, 126,  76, 102, 114,  77, 103, 115,  79, 105, 118,  76, 101, 116,  82, 105, 120,  88, 111, 125,  88, 112, 124,  85, 110, 122,  82, 109, 119,  80, 107, 117,  81, 106, 116,  78, 105, 115,  74, 101, 111,  74, 101, 108,  74, 101, 108,  81, 107, 115,
    89, 111, 122,  80, 103, 114,  73,  98, 107,  77, 101, 108,  79, 102, 109,  99, 119, 125, 112, 132, 136,  96, 116, 121,  98, 118, 123, 113, 132, 137, 111, 131, 135, 105, 125, 130, 104, 124, 129, 100, 121, 126, 104, 123, 129, 100, 122, 128, 100, 122, 128,  99, 121, 126,  97, 119, 124,  96, 119, 122,  98, 121, 124,
    97, 119, 124,  98, 120, 125,  96, 117, 122,  95, 116, 121,  96, 116, 121,  94, 114, 119,  90, 112, 117,  89, 110, 115,  84, 105, 110,  81, 105, 109,  82, 105, 110,  76, 101, 105,  78, 103, 107,  75, 100, 104,  76,  99, 104,  74,  95, 101,  69,  93,  99,  73,  95, 101,  71,  93,  99,  68,  89,  96,  69,  90,  96,
    65,  87,  93,  64,  85,  91,  67,  86,  93,  69,  88,  95,  66,  86,  91,  64,  83,  90,  60,  78,  85,  61,  79,  86,  64,  81,  88,  57,  75,  82,  53,  72,  79,  51,  69,  76,  49,  66,  75,  55,  72,  78,  59,  75,  81,  65,  79,  85,  65,  79,  85,  67,  81,  87,  69,  83,  87,  76,  91,  94,  76,  91,  94,
    81,  96,  98,  82,  96,  97,  83,  96,  97,  85,  98, 100,  82,  95,  97,  77,  90,  92,  68,  81,  83,  72,  85,  86,  80,  92,  93,  78,  89,  90,  77,  89,  91,  66,  78,  81,  65,  77,  81,  77,  89,  93,  72,  85,  89,  77,  88,  92,  69,  81,  84, 138, 147, 149,  81,  94,  96,  94, 107, 106,  93, 106, 105,
    97, 110, 108, 102, 115, 113, 107, 120, 118, 118, 129, 127, 136, 144, 143, 128, 139, 137, 131, 141, 140, 127, 138, 136, 172, 177, 177, 128, 137, 136, 127, 139, 137, 105, 118, 117, 148, 160, 159, 104, 115, 114, 107, 117, 117, 159, 163, 164, 102, 109, 112, 102, 114, 114,  97, 113, 112,  92, 108, 107,  98, 115, 113,
    97, 113, 110,  93, 110, 107,  94, 111, 108,  98, 113, 110, 103, 117, 115,  94, 109, 108,  92, 109, 108,  88, 106, 106,  91, 109, 108,  87, 105, 104,  87, 105, 104,  89, 106, 102, 102, 117, 114,  98, 114, 111, 104, 118, 116,  95, 109, 107,  96, 109, 109,  94, 102, 105, 168, 176, 179,  95, 107, 111,  94, 107, 110,
    87, 101, 103,  96, 111, 113, 100, 115, 115,  92, 110, 108,  90, 108, 107,  77,  98,  96,  79,  99,  97,  84, 102, 101,  91, 109, 108,  90, 108, 107,  89, 107, 108,  95, 110, 112, 121, 137, 139, 101, 118, 117,  98, 117, 116, 109, 127, 126, 106, 125, 124,  93, 114, 112, 100, 120, 118, 103, 121, 120, 107, 125, 126,
   113, 129, 131, 166, 174, 176, 125, 138, 141, 104, 119, 122,  94, 111, 114, 172, 184, 183, 118, 134, 136, 111, 129, 131, 116, 135, 137, 114, 134, 135, 128, 146, 147, 127, 145, 144, 124, 143, 141, 129, 146, 145, 131, 149, 146, 137, 156, 153, 150, 165, 163, 150, 165, 163, 153, 168, 166, 157, 171, 169, 158, 172, 170,
   164, 177, 175, 166, 180, 178, 166, 179, 177, 170, 184, 181, 175, 188, 184, 180, 194, 190, 179, 194, 190, 167, 185, 182, 174, 189, 185, 187, 198, 195, 189, 201, 196, 184, 197, 193, 188, 198, 196, 190, 201, 198, 192, 204, 198, 196, 207, 203, 199, 208, 205, 202, 212, 207, 205, 214, 211, 207, 217, 214, 208, 217, 214,
   210, 220, 216, 212, 220, 217, 215, 222, 220, 217, 224, 221, 219, 227, 224, 221, 228, 222, 222, 229, 224, 225, 232, 226, 226, 232, 227, 228, 233, 231, 229, 234, 232, 230, 235, 233, 229, 234, 232, 225, 232, 229, 222, 231, 228, 221, 230, 227, 222, 231, 228, 226, 233, 230, 226, 234, 231, 227, 234, 231, 227, 235, 232,
   192, 207, 214, 186, 203, 210, 181, 199, 206, 177, 196, 203, 175, 194, 201, 174, 193, 200, 171, 192, 198, 167, 189, 195, 165, 187, 193, 164, 186, 192, 168, 188, 195, 172, 190, 197, 173, 192, 198, 174, 192, 199, 174, 192, 199, 169, 188, 195, 165, 186, 193, 156, 181, 189, 154, 180, 187, 155, 180, 188, 156, 181, 188,
   160, 181, 193, 161, 183, 192, 159, 182, 191, 157, 181, 189, 155, 181, 188, 153, 179, 188, 152, 179, 187, 153, 180, 188, 158, 182, 190, 165, 185, 193, 165, 186, 194, 165, 186, 194, 163, 186, 193, 160, 183, 193, 159, 183, 193, 158, 183, 194, 157, 182, 192, 155, 181, 190, 149, 177, 186, 151, 176, 188, 149, 175, 187,
   147, 173, 187, 147, 173, 187, 139, 166, 180, 131, 159, 173, 125, 154, 169, 118, 148, 165, 121, 150, 167, 122, 150, 167, 123, 150, 167, 117, 146, 163, 104, 136, 153,  94, 127, 145,  90, 122, 138,  91, 121, 138,  97, 126, 143,  99, 127, 144, 102, 128, 145,  98, 123, 140,  95, 120, 137, 107, 130, 146, 102, 125, 140,
    86, 110, 125,  91, 115, 127, 107, 129, 141, 103, 127, 139,  81, 107, 119,  78, 104, 116,  76, 102, 114,  76, 102, 115,  79, 103, 116,  82, 106, 118,  87, 111, 123,  87, 111, 123,  84, 109, 121,  83, 109, 119,  80, 107, 116,  78, 104, 116,  74, 101, 112,  76, 103, 113,  75, 101, 111,  80, 105, 115,  88, 111, 122,
    88, 110, 121,  79, 102, 113,  78, 101, 109,  76,  99, 107,  81, 104, 110, 109, 128, 134, 113, 132, 137,  98, 118, 123, 101, 121, 126, 117, 136, 141, 108, 128, 133, 102, 123, 128, 101, 123, 128, 102, 123, 128, 103, 123, 128, 100, 122, 127,  99, 121, 126,  98, 120, 125,  98, 120, 123,  98, 121, 123,  98, 120, 124,
    95, 117, 122,  95, 118, 121,  98, 118, 124,  92, 114, 119,  91, 113, 119,  92, 113, 118,  90, 111, 116,  89, 110, 115,  83, 106, 111,  84, 107, 111,  80, 105, 109,  79, 104, 108,  77, 100, 105,  74,  99, 103,  75,  98, 103,  74,  96, 102,  73,  95, 101,  72,  94, 100,  69,  91,  97,  69,  91,  97,  65,  87,  93,
    67,  88,  95,  64,  85,  92,  66,  85,  92,  69,  88,  95,  67,  86,  93,  65,  84,  91,  60,  79,  86,  61,  79,  86,  63,  80,  87,  55,  74,  81,  51,  70,  77,  49,  67,  74,  47,  65,  72,  52,  69,  76,  58,  74,  81,  61,  76,  82,  62,  78,  84,  62,  78,  84,  66,  81,  87,  69,  84,  87,  74,  89,  92,
    73,  88,  91,  73,  87,  89,  78,  91,  93,  76,  89,  91,  72,  85,  87,  67,  80,  82,  62,  75,  77,  73,  85,  86,  71,  82,  84,  76,  86,  87,  64,  76,  78,  53,  65,  68,  55,  69,  72,  69,  82,  85,  66,  78,  82,  77,  88,  91,  66,  78,  80, 130, 138, 140,  86,  98, 100,  80,  93,  93,  89, 102, 101,
   102, 115, 112, 102, 115, 113, 105, 118, 116, 119, 131, 129, 139, 147, 146, 127, 138, 136, 130, 141, 139, 127, 138, 136, 155, 163, 161, 144, 152, 150, 122, 134, 131, 106, 118, 118, 150, 159, 158, 101, 110, 109, 104, 113, 113, 110, 116, 117, 151, 156, 158, 102, 113, 114,  96, 111, 110,  95, 111, 110,  96, 112, 111,
    96, 112, 109,  97, 115, 111,  95, 112, 109, 102, 117, 114, 102, 116, 115,  96, 111, 110,  93, 109, 108,  91, 107, 106,  90, 107, 106,  93, 109, 108,  90, 106, 104,  93, 109, 106,  95, 111, 108, 105, 120, 116, 101, 115, 113,  93, 107, 106,  95, 109, 109,  96, 109, 111, 165, 173, 176, 102, 110, 113,  96, 109, 111,
    95, 108, 110,  88, 103, 104,  96, 113, 110,  96, 113, 112,  88, 105, 104,  80, 102, 100,  82, 101,  99,  86, 104, 103,  91, 108, 107,  93, 111, 110,  91, 109, 109,  92, 111, 111, 118, 133, 134, 102, 119, 118, 102, 120, 119, 101, 120, 119, 106, 124, 123,  93, 114, 111,  95, 116, 114,  95, 116, 114, 104, 123, 122,
   108, 126, 127, 104, 120, 123, 171, 180, 183, 102, 117, 121, 102, 116, 120, 106, 118, 121, 185, 196, 196, 108, 125, 128, 114, 133, 134, 115, 135, 136, 123, 142, 143, 129, 147, 147, 127, 144, 143, 126, 145, 143, 132, 150, 149, 135, 154, 152, 145, 161, 159, 154, 167, 165, 154, 168, 166, 156, 170, 169, 161, 175, 173,
   162, 176, 174, 163, 178, 175, 166, 179, 177, 168, 182, 180, 174, 187, 184, 178, 190, 187, 180, 193, 190, 168, 186, 183, 171, 187, 183, 174, 190, 185, 193, 204, 201, 183, 195, 190, 189, 200, 197, 186, 197, 194, 192, 203, 200, 196, 206, 203, 201, 210, 207, 199, 210, 207, 202, 212, 209, 207, 215, 210, 209, 218, 215,
   211, 219, 216, 213, 221, 218, 216, 224, 221, 218, 225, 222, 219, 226, 223, 222, 229, 226, 222, 229, 227, 225, 231, 229, 226, 232, 230, 228, 234, 231, 229, 234, 232, 230, 235, 233, 232, 237, 235, 229, 234, 232, 225, 232, 229, 222, 230, 227, 222, 232, 229, 226, 233, 230, 228, 235, 232, 227, 234, 231, 228, 235, 232,
   191, 207, 213, 183, 201, 208, 180, 198, 205, 176, 195, 202, 174, 194, 200, 172, 192, 199, 170, 191, 197, 170, 190, 196, 165, 188, 194, 171, 190, 197, 173, 191, 198, 173, 191, 198, 175, 193, 199, 174, 192, 199, 170, 189, 196, 164, 185, 193, 158, 182, 190, 154, 181, 188, 153, 180, 187, 156, 180, 188, 159, 182, 190,
   163, 185, 192, 163, 185, 193, 161, 183, 191, 157, 182, 189, 155, 181, 188, 151, 179, 186, 153, 179, 188, 156, 182, 190, 160, 183, 191, 165, 186, 194, 167, 186, 196, 164, 185, 194, 161, 183, 195, 161, 183, 194, 159, 182, 194, 157, 181, 193, 154, 179, 191, 151, 177, 189, 150, 177, 189, 150, 176, 188, 150, 176, 187,
   146, 172, 186, 141, 168, 182, 136, 164, 178, 128, 157, 172, 122, 152, 167, 119, 149, 166, 120, 149, 166, 127, 153, 170, 122, 150, 167, 113, 142, 159, 101, 133, 153,  93, 125, 144,  89, 122, 140,  93, 123, 140,  99, 127, 144,  99, 127, 144,  99, 125, 142,  96, 122, 138,  97, 123, 139, 106, 129, 145,  91, 116, 131,
    86, 111, 125,  97, 121, 133, 113, 135, 146,  94, 118, 130,  77, 105, 116,  74, 102, 113,  77, 103, 116,  77, 103, 117,  78, 103, 116,  85, 109, 121,  87, 111, 123,  86, 110, 122,  85, 109, 120,  81, 108, 118,  79, 106, 116,  79, 105, 116,  78, 104, 116,  79, 104, 115,  79, 104, 114,  83, 107, 117,  90, 112, 123,
    87, 109, 119,  78, 103, 110,  75,  99, 107,  76, 101, 107,  89, 112, 118, 118, 137, 142, 107, 127, 132, 100, 120, 125, 104, 124, 129, 119, 138, 143, 104, 125, 130, 101, 123, 129, 101, 123, 128, 101, 123, 128, 100, 122, 127,  98, 120, 125,  98, 120, 125,  98, 121, 123,  97, 119, 122,  98, 121, 123,  97, 119, 123,
    95, 117, 122,  94, 115, 121,  94, 116, 121,  92, 114, 119,  91, 113, 119,  91, 113, 119,  89, 111, 117,  86, 108, 114,  85, 107, 112,  82, 105, 110,  79, 104, 108,  76, 101, 105,  76, 101, 105,  75,  98, 103,  76,  98, 103,  74,  96, 102,  73,  95, 101,  71,  93,  99,  70,  92,  98,  69,  91,  97,  68,  90,  96,
    64,  86,  91,  66,  85,  92,  67,  86,  93,  68,  87,  94,  67,  86,  93,  62,  82,  88,  61,  79,  87,  60,  79,  86,  60,  78,  85,  53,  72,  79,  49,  66,  75,  48,  66,  73,  44,  63,  70,  50,  69,  76,  57,  74,  81,  57,  74,  81,  61,  77,  83,  59,  75,  81,  64,  79,  85,  65,  80,  86,  73,  88,  90,
    68,  84,  86,  70,  85,  87,  70,  83,  85,  66,  80,  82,  63,  77,  79,  55,  70,  72,  62,  75,  77,  66,  78,  81,  63,  74,  77,  62,  74,  77,  51,  63,  66,  39,  52,  56,  52,  66,  69,  59,  71,  75,  66,  78,  82,  74,  86,  89,  61,  73,  76, 126, 135, 137,  76,  89,  92,  75,  88,  90,  80,  93,  94,
    97, 110, 108,  97, 111, 109, 105, 118, 117, 120, 130, 129, 133, 142, 143, 127, 137, 136, 125, 136, 134, 126, 137, 134, 122, 132, 129, 173, 180, 179, 117, 128, 126, 104, 116, 115, 126, 135, 135, 123, 131, 130, 110, 118, 117, 103, 111, 111, 161, 167, 168,  96, 108, 111,  92, 107, 109,  96, 112, 112,  99, 112, 112,
    98, 112, 111,  97, 112, 111,  97, 113, 111,  99, 116, 114,  97, 113, 112,  90, 105, 105,  93, 108, 107,  91, 107, 106,  90, 106, 104,  89, 105, 104,  93, 109, 107,  97, 113, 111,  98, 113, 111, 101, 115, 114,  99, 113, 112,  93, 107, 106,  96, 109, 110,  97, 111, 113,  94, 103, 106, 170, 178, 179,  95, 109, 110,
    91, 105, 105,  87, 103, 102,  91, 107, 106,  92, 109, 108,  85, 103, 102,  82, 103, 101,  83, 102, 101,  86, 104, 103,  89, 109, 108,  92, 110, 109,  95, 113, 111,  98, 115, 117, 112, 128, 129,  99, 117, 116, 100, 118, 117, 100, 119, 117, 103, 121, 120,  99, 117, 116,  93, 114, 113,  97, 117, 117, 100, 120, 121,
   103, 123, 124, 110, 127, 129,  96, 114, 116, 178, 188, 190,  95, 108, 115, 112, 123, 131, 129, 141, 147, 162, 174, 173, 113, 132, 133, 114, 134, 136, 124, 142, 143, 126, 144, 143, 128, 147, 146, 128, 147, 146, 132, 149, 150, 135, 153, 152, 139, 158, 155, 152, 167, 165, 157, 170, 168, 159, 172, 170, 164, 176, 174,
   159, 173, 171, 159, 174, 171, 163, 178, 175, 168, 181, 179, 172, 186, 182, 179, 190, 188, 178, 191, 188, 169, 185, 182, 172, 186, 183, 172, 187, 184, 175, 190, 186, 192, 204, 200, 184, 196, 191, 187, 199, 196, 188, 199, 196, 192, 203, 200, 199, 208, 206, 201, 210, 206, 199, 212, 205, 204, 215, 209, 209, 217, 212,
   210, 220, 215, 213, 222, 219, 216, 224, 221, 219, 226, 223, 220, 227, 224, 222, 229, 226, 224, 231, 228, 224, 230, 227, 227, 233, 231, 229, 234, 232, 230, 235, 233, 230, 235, 233, 232, 237, 235, 231, 236, 234, 229, 234, 232, 225, 232, 229, 223, 232, 229, 226, 233, 230, 227, 234, 231, 228, 235, 232, 229, 236, 233,
   185, 204, 208, 181, 200, 206, 177, 196, 203, 175, 194, 201, 173, 193, 199, 173, 192, 199, 169, 191, 197, 170, 190, 197, 172, 191, 198, 174, 192, 198, 176, 194, 199, 176, 195, 200, 174, 193, 199, 172, 190, 197, 165, 185, 193, 159, 181, 189, 154, 180, 187, 151, 178, 186, 152, 179, 187, 158, 182, 190, 163, 184, 192,
   165, 186, 194, 164, 185, 193, 161, 184, 191, 158, 182, 190, 157, 181, 189, 155, 181, 188, 156, 181, 189, 157, 181, 190, 163, 184, 192, 165, 186, 194, 166, 187, 195, 165, 186, 195, 160, 183, 194, 158, 182, 192, 157, 181, 193, 154, 179, 191, 154, 178, 190, 153, 177, 189, 152, 177, 189, 151, 176, 188, 150, 174, 188,
   146, 172, 185, 142, 169, 183, 134, 163, 177, 126, 155, 170, 121, 150, 167, 121, 150, 166, 126, 153, 169, 127, 153, 170, 123, 150, 166, 111, 141, 157,  99, 131, 150,  93, 125, 144,  93, 123, 142,  99, 127, 144, 100, 128, 145, 102, 129, 146,  98, 124, 141,  93, 119, 135, 104, 129, 145, 100, 125, 139,  84, 110, 125,
    91, 117, 131, 107, 130, 143, 107, 131, 143,  87, 113, 127,  79, 106, 120,  77, 104, 116,  78, 103, 118,  80, 107, 121,  83, 109, 123,  88, 111, 124,  89, 113, 125,  85, 109, 121,  84, 108, 119,  79, 104, 117,  79, 105, 117,  82, 106, 117,  79, 104, 116,  82, 106, 117,  84, 109, 119,  86, 111, 121,  92, 114, 124,
    81, 106, 114,  78, 103, 110,  76, 101, 108,  78, 102, 108,  98, 120, 126, 121, 141, 147, 101, 122, 127,  97, 119, 124, 107, 128, 133, 121, 140, 145, 103, 126, 129,  99, 121, 127, 102, 124, 129, 101, 123, 128, 100, 122, 127,  98, 120, 125,  98, 120, 125,  97, 120, 122,  95, 118, 120,  95, 117, 121,  95, 117, 122,
    94, 116, 121,  94, 115, 120,  92, 114, 119,  91, 113, 120,  91, 113, 119,  90, 112, 118,  89, 111, 117,  84, 106, 112,  83, 105, 111,  83, 105, 110,  79, 103, 108,  76, 101, 105,  73,  98, 102,  75,  99, 103,  75,  97, 102,  76,  98, 103,  73,  95, 101,  72,  94, 100,  71,  93,  98,  68,  90,  96,  65,  87,  93,
    66,  87,  94,  66,  85,  92,  67,  86,  93,  67,  86,  93,  65,  85,  92,  64,  84,  89,  60,  80,  87,  61,  79,  86,  58,  76,  84,  54,  72,  80,  47,  67,  74,  46,  64,  72,  45,  64,  71,  49,  68,  75,  53,  70,  78,  56,  73,  80,  60,  76,  82,  62,  78,  84,  61,  77,  83,  62,  78,  84,  65,  80,  86,
    63,  79,  84,  62,  77,  82,  61,  75,  80,  59,  73,  79,  55,  69,  75,  54,  68,  74,  57,  69,  74,  56,  68,  72,  53,  64,  68,  52,  64,  67,  41,  55,  57,  32,  48,  51,  47,  61,  64,  57,  69,  73,  64,  76,  80,  69,  80,  84,  67,  78,  82, 106, 116, 119,  74,  86,  90,  62,  75,  78,  78,  90,  94,
    93, 106, 108,  95, 109, 109, 102, 115, 114, 112, 123, 123, 122, 133, 132, 126, 137, 135, 125, 136, 134, 126, 137, 135, 120, 131, 128, 168, 176, 174, 109, 120, 118, 102, 113, 111,  93, 103, 102, 152, 160, 159, 108, 116, 116, 105, 115, 115, 152, 159, 163, 102, 113, 115,  94, 108, 110,  96, 110, 110,  95, 109, 108,
   100, 114, 113, 100, 114, 113, 102, 116, 115,  97, 113, 113,  97, 113, 115,  94, 106, 108,  92, 106, 106,  93, 108, 106,  90, 107, 104,  92, 108, 107,  91, 108, 107,  94, 110, 109, 100, 114, 113,  95, 109, 108,  96, 110, 109,  91, 105, 103,  99, 112, 113,  99, 113, 116,  99, 112, 113, 173, 182, 186,  96, 103, 105,
    91, 106, 105,  88, 103, 102,  92, 108, 107,  90, 106, 105,  83, 101, 100,  84, 102, 101,  82, 101, 102,  86, 105, 105,  91, 109, 110,  94, 112, 113,  95, 112, 112, 114, 128, 129, 103, 118, 118, 102, 119, 118,  95, 114, 111, 104, 122, 121, 100, 118, 117, 102, 120, 121,  95, 114, 115,  97, 117, 119, 103, 123, 124,
   104, 124, 125, 105, 124, 125, 107, 125, 126, 100, 115, 118, 181, 189, 192, 106, 117, 125, 115, 127, 134, 164, 175, 176, 131, 148, 150, 118, 135, 138, 126, 143, 143, 127, 145, 144, 133, 149, 148, 132, 149, 149, 130, 149, 149, 135, 153, 152, 140, 158, 156, 147, 163, 160, 157, 172, 169, 161, 173, 171, 165, 178, 176,
   163, 177, 174, 164, 178, 175, 161, 176, 173, 168, 181, 179, 172, 185, 183, 175, 188, 186, 180, 191, 189, 173, 187, 185, 171, 185, 183, 168, 185, 182, 172, 187, 183, 184, 195, 192, 188, 198, 196, 185, 198, 194, 186, 201, 196, 189, 202, 198, 197, 206, 204, 202, 210, 204, 200, 212, 206, 202, 213, 207, 208, 216, 211,
   211, 219, 217, 212, 222, 217, 216, 224, 220, 220, 227, 223, 220, 227, 223, 223, 230, 227, 223, 230, 227, 226, 232, 230, 227, 234, 231, 229, 234, 232, 230, 235, 233, 231, 236, 234, 231, 236, 234, 232, 237, 235, 230, 235, 233, 228, 234, 231, 225, 232, 229, 225, 232, 229, 226, 233, 230, 228, 234, 232, 229, 235, 233,
   181, 200, 206, 178, 198, 204, 178, 196, 204, 174, 193, 200, 174, 193, 200, 174, 193, 200, 173, 192, 199, 174, 192, 199, 173, 192, 200, 176, 194, 199, 176, 194, 199, 174, 194, 198, 174, 192, 199, 167, 186, 193, 162, 183, 190, 155, 179, 187, 150, 178, 185, 151, 178, 188, 156, 180, 189, 164, 185, 193, 166, 187, 195,
   166, 187, 195, 164, 186, 194, 161, 184, 192, 160, 183, 190, 159, 182, 190, 158, 182, 189, 159, 182, 190, 160, 183, 191, 164, 185, 193, 163, 184, 192, 166, 187, 195, 163, 184, 193, 160, 182, 193, 156, 181, 191, 155, 180, 191, 153, 178, 191, 154, 179, 191, 152, 178, 190, 150, 176, 188, 151, 176, 188, 150, 174, 188,
   146, 172, 186, 139, 165, 180, 132, 161, 176, 124, 153, 168, 121, 151, 166, 124, 152, 168, 126, 153, 169, 127, 154, 169, 119, 146, 164, 109, 139, 156,  97, 129, 148,  92, 124, 143,  95, 124, 143,  99, 127, 143, 102, 128, 145, 100, 126, 143,  97, 123, 140,  97, 123, 139, 105, 130, 146,  93, 118, 134,  84, 111, 125,
    97, 121, 136, 111, 134, 149, 100, 125, 140,  84, 110, 125,  82, 108, 122,  80, 107, 120,  81, 107, 121,  86, 110, 124,  89, 112, 126,  89, 113, 126,  89, 114, 126,  84, 108, 120,  80, 106, 118,  79, 106, 117,  83, 106, 118,  85, 109, 121,  84, 108, 120,  83, 107, 118,  84, 109, 119,  90, 114, 122,  87, 112, 119,
    80, 105, 112,  76, 102, 108,  76, 101, 107,  81, 105, 111, 108, 130, 136, 119, 139, 144, 101, 123, 128,  97, 119, 124, 113, 135, 138, 117, 138, 140, 101, 124, 127, 100, 122, 127, 100, 122, 127, 103, 124, 129,  98, 120, 125,  98, 120, 125,  98, 120, 125,  96, 119, 122,  97, 118, 122,  93, 115, 119,  93, 115, 120,
    92, 114, 119,  92, 114, 120,  92, 114, 120,  91, 113, 119,  90, 112, 118,  89, 111, 117,  86, 108, 114,  84, 106, 112,  82, 104, 110,  83, 104, 110,  79, 104, 109,  75, 100, 104,  75, 100, 104,  76,  99, 104,  75,  97, 102,  75,  97, 102,  72,  95,  99,  72,  94,  99,  69,  91,  97,  67,  89,  95,  67,  88,  94,
    66,  88,  94,  65,  85,  92,  66,  85,  92,  68,  87,  94,  68,  87,  94,  65,  85,  92,  62,  82,  88,  63,  82,  89,  55,  74,  82,  46,  67,  75,  46,  65,  73,  44,  63,  70,  45,  64,  71,  46,  65,  72,  51,  71,  75,  60,  76,  84,  62,  78,  84,  61,  77,  83,  59,  75,  81,  60,  76,  82,  63,  79,  85,
    58,  73,  79,  57,  72,  78,  53,  68,  74,  53,  68,  74,  46,  61,  67,  43,  58,  64,  47,  60,  65,  49,  61,  65,  45,  57,  61,  42,  54,  58,  32,  47,  50,  31,  46,  49,  46,  61,  64,  56,  68,  72,  54,  67,  71,  61,  73,  77,  86,  96, 101,  72,  84,  88,  60,  74,  77,  58,  73,  76,  76,  89,  91,
    82,  95,  98,  91, 102, 104,  99, 111, 111, 107, 119, 119, 113, 124, 125, 120, 131, 129, 124, 135, 133, 121, 132, 129, 121, 131, 129, 164, 170, 168,  99, 109, 107,  98, 109, 108, 100, 110, 110, 148, 157, 156,  88,  99,  99,  99, 108, 109, 100, 107, 110, 147, 157, 159,  96, 109, 111,  95, 109, 109,  98, 112, 111,
    99, 113, 112, 100, 114, 113,  98, 113, 112,  96, 111, 112,  93, 108, 110,  92, 107, 110,  92, 106, 105,  91, 107, 106,  91, 107, 107,  89, 105, 104,  90, 106, 105,  98, 112, 111,  95, 111, 110,  89, 104, 103,  96, 109, 109,  96, 109, 111,  97, 110, 112,  97, 111, 114,  98, 111, 114, 103, 113, 116, 164, 170, 175,
    93, 106, 109,  83, 100,  98,  88, 104, 103,  86, 103, 102,  85, 103, 102,  87, 105, 106,  86, 104, 105,  85, 104, 105,  89, 107, 108,  94, 112, 113,  99, 117, 117, 118, 133, 133, 101, 117, 117,  99, 116, 115,  99, 117, 117, 103, 121, 121,  98, 116, 115,  97, 115, 116, 101, 119, 120,  96, 115, 116, 103, 123, 124,
   104, 124, 125, 105, 124, 124, 107, 125, 125, 107, 124, 126, 109, 123, 129, 167, 177, 182, 109, 122, 130, 115, 128, 133, 186, 199, 197, 117, 133, 137, 128, 144, 144, 129, 145, 144, 131, 148, 147, 132, 150, 149, 131, 149, 149, 134, 153, 152, 136, 155, 153, 141, 159, 156, 154, 168, 165, 158, 172, 170, 166, 179, 177,
   168, 182, 178, 164, 178, 175, 162, 177, 174, 166, 179, 177, 171, 184, 182, 173, 186, 183, 178, 189, 187, 175, 188, 186, 175, 189, 187, 169, 184, 182, 170, 184, 181, 176, 190, 186, 191, 202, 198, 185, 198, 194, 189, 200, 197, 188, 201, 197, 194, 205, 202, 199, 211, 208, 201, 212, 207, 201, 212, 207, 205, 216, 211,
   210, 219, 214, 214, 222, 219, 216, 223, 220, 219, 226, 224, 221, 228, 225, 222, 229, 226, 223, 230, 228, 226, 231, 228, 228, 234, 231, 229, 234, 232, 230, 235, 233, 231, 236, 234, 231, 237, 233, 231, 236, 234, 231, 236, 234, 230, 235, 233, 227, 234, 230, 225, 232, 229, 225, 232, 229, 227, 234, 231, 227, 235, 231,
   182, 202, 207, 178, 197, 204, 176, 196, 203, 175, 195, 201, 174, 194, 201, 175, 194, 201, 173, 192, 199, 174, 193, 200, 176, 194, 201, 176, 194, 201, 175, 193, 200, 173, 191, 198, 168, 188, 194, 162, 183, 189, 155, 179, 187, 149, 176, 185, 150, 177, 187, 155, 181, 188, 159, 183, 190, 167, 188, 195, 169, 189, 196,
   166, 186, 195, 161, 184, 192, 161, 184, 192, 161, 184, 192, 163, 184, 192, 164, 185, 193, 163, 184, 192, 160, 182, 190, 160, 182, 190, 163, 184, 192, 163, 184, 192, 159, 181, 192, 158, 181, 191, 154, 179, 190, 155, 180, 191, 154, 179, 190, 154, 178, 191, 154, 177, 189, 153, 177, 189, 152, 176, 188, 148, 173, 186,
   143, 170, 183, 136, 164, 179, 129, 158, 173, 126, 155, 170, 122, 153, 168, 125, 154, 169, 128, 155, 171, 128, 154, 170, 120, 147, 164, 106, 136, 155,  98, 130, 149,  95, 126, 145,  97, 126, 145, 102, 129, 147, 103, 129, 146,  98, 124, 141,  97, 123, 140, 103, 128, 144,  99, 124, 140,  88, 114, 128,  89, 114, 128,
   105, 128, 143, 111, 133, 148,  92, 117, 132,  87, 113, 129,  83, 109, 125,  82, 108, 123,  84, 110, 124,  86, 111, 125,  91, 114, 128,  88, 112, 126,  87, 111, 124,  83, 109, 121,  79, 105, 116,  84, 108, 119,  85, 109, 121,  88, 112, 124,  86, 110, 122,  88, 113, 123,  88, 112, 122,  88, 114, 121,  84, 109, 116,
    79, 105, 111,  74, 100, 107,  77, 102, 108,  91, 114, 120, 119, 138, 144, 116, 136, 141,  99, 121, 126,  98, 120, 125, 120, 141, 143, 113, 135, 138, 101, 124, 126, 100, 122, 127,  99, 123, 127,  97, 120, 125,  98, 119, 124,  98, 120, 125,  96, 118, 123,  95, 117, 122,  95, 117, 122,  93, 115, 120,  92, 115, 119,
    93, 115, 120,  92, 114, 119,  91, 113, 118,  90, 112, 117,  91, 113, 119,  88, 110, 116,  88, 110, 116,  86, 108, 114,  83, 105, 111,  79, 104, 110,  79, 103, 109,  76, 101, 105,  76, 101, 105,  76, 101, 105,  74,  98, 102,  74,  97, 101,  71,  95,  99,  70,  93,  97,  69,  91,  97,  65,  87,  93,  67,  89,  94,
    67,  87,  94,  68,  87,  94,  66,  87,  93,  68,  87,  94,  66,  85,  92,  66,  85,  92,  63,  82,  89,  59,  79,  85,  50,  71,  80,  46,  68,  75,  42,  63,  69,  43,  61,  68,  45,  64,  71,  48,  67,  73,  52,  70,  77,  59,  77,  82,  63,  80,  85,  60,  76,  82,  57,  73,  79,  57,  73,  79,  56,  72,  78,
    55,  71,  77,  50,  66,  72,  49,  65,  70,  48,  64,  71,  41,  57,  63,  39,  54,  60,  41,  54,  59,  40,  54,  58,  38,  52,  55,  34,  48,  51,  28,  43,  46,  31,  46,  49,  47,  61,  65,  47,  62,  65,  41,  55,  61,  48,  61,  65,  99, 110, 114,  46,  58,  63,  48,  62,  66,  60,  73,  77,  73,  86,  88,
    78,  90,  93,  83,  97,  98,  95, 107, 107,  98, 110, 110, 107, 119, 119, 116, 128, 126, 116, 127, 125, 119, 130, 128, 115, 126, 124, 148, 153, 151, 103, 115, 114,  94, 106, 105,  92, 103, 104, 109, 119, 120, 116, 125, 127,  96, 106, 109,  96, 105, 108, 152, 162, 165,  88, 100, 102,  95, 108, 110,  98, 112, 111,
    97, 111, 110, 101, 115, 114, 100, 114, 113,  98, 113, 113,  95, 109, 111,  88, 103, 106,  94, 109, 110,  92, 108, 107,  88, 104, 103,  87, 103, 102,  90, 106, 105,  99, 114, 113,  89, 105, 104,  84, 100,  99,  92, 106, 107,  95, 108, 110, 102, 116, 117,  98, 110, 114,  97, 110, 113,  92, 101, 105, 177, 184, 187,
    88, 100, 103,  83,  98,  97,  85, 101, 100,  86, 102, 101,  86, 103, 102,  89, 105, 106,  89, 105, 107,  87, 105, 106,  90, 108, 109,  92, 109, 110, 100, 116, 116, 124, 139, 138, 102, 117, 118,  97, 115, 113,  99, 117, 118, 101, 120, 121,  98, 116, 117,  96, 114, 115, 100, 117, 119, 101, 120, 121, 104, 123, 124,
   105, 124, 124, 104, 122, 123, 106, 124, 124, 106, 123, 123, 111, 127, 129, 127, 140, 145, 159, 170, 173, 120, 132, 137, 125, 139, 142, 172, 186, 185, 124, 139, 140, 127, 143, 142, 132, 148, 147, 134, 151, 150, 132, 150, 149, 136, 154, 153, 137, 155, 154, 142, 160, 157, 150, 167, 163, 158, 171, 170, 167, 180, 177,
   170, 182, 179, 168, 181, 178, 165, 180, 176, 165, 179, 178, 170, 183, 181, 170, 183, 181, 177, 190, 187, 175, 188, 186, 174, 187, 185, 170, 184, 182, 168, 183, 181, 175, 188, 185, 184, 195, 192, 190, 202, 197, 187, 199, 196, 188, 201, 196, 190, 203, 200, 197, 208, 205, 200, 210, 207, 202, 212, 209, 205, 214, 211,
   210, 218, 215, 213, 221, 218, 217, 224, 221, 219, 226, 223, 221, 228, 225, 223, 229, 226, 225, 231, 228, 227, 232, 230, 227, 232, 230, 229, 234, 232, 230, 235, 233, 231, 236, 234, 231, 236, 233, 231, 237, 232, 231, 236, 234, 230, 235, 233, 228, 234, 232, 226, 233, 230, 226, 233, 230, 226, 233, 230, 227, 234, 231,
   179, 198, 204, 177, 198, 204, 174, 196, 203, 175, 194, 201, 176, 194, 202, 174, 193, 200, 176, 194, 201, 177, 195, 202, 176, 194, 201, 176, 194, 201, 173, 192, 198, 169, 188, 195, 163, 185, 192, 155, 180, 187, 151, 176, 187, 150, 177, 187, 152, 178, 188, 160, 183, 191, 166, 188, 195, 171, 190, 197, 169, 190, 196,
   167, 189, 195, 166, 186, 195, 165, 187, 195, 165, 187, 195, 167, 187, 195, 165, 186, 194, 161, 183, 190, 159, 181, 189, 160, 181, 189, 159, 181, 189, 161, 182, 190, 159, 182, 190, 156, 180, 190, 155, 179, 190, 155, 181, 190, 156, 180, 190, 155, 180, 190, 154, 179, 189, 153, 177, 189, 151, 175, 187, 145, 171, 185,
   139, 166, 181, 134, 162, 177, 128, 158, 173, 127, 157, 172, 125, 154, 169, 126, 155, 170, 129, 155, 171, 125, 152, 168, 117, 145, 162, 105, 135, 153,  98, 130, 149,  96, 125, 146,  99, 128, 148, 102, 128, 147, 101, 127, 144, 100, 126, 142,  96, 122, 139, 105, 130, 146,  95, 121, 137,  86, 113, 127,  95, 119, 133,
   112, 134, 148, 103, 126, 141,  90, 116, 132,  89, 114, 130,  87, 112, 128,  86, 111, 127,  86, 112, 126,  91, 115, 128,  90, 114, 127,  87, 111, 123,  88, 112, 124,  82, 107, 119,  80, 105, 117,  83, 110, 119,  88, 112, 124,  89, 114, 125,  89, 114, 125,  89, 114, 123,  89, 115, 122,  89, 115, 120,  82, 108, 114,
    78, 104, 110,  78, 104, 110,  83, 107, 113,  99, 121, 127, 123, 142, 149, 109, 130, 135,  98, 120, 125, 102, 124, 129, 124, 144, 147, 108, 130, 134, 102, 124, 129, 100, 122, 127, 100, 123, 128,  99, 121, 126,  98, 120, 125,  98, 120, 125,  95, 117, 122,  96, 118, 123,  95, 117, 122,  92, 114, 119,  92, 114, 119,
    91, 112, 118,  91, 113, 118,  91, 113, 118,  90, 112, 117,  91, 113, 119,  89, 111, 117,  87, 109, 115,  86, 108, 114,  83, 105, 111,  81, 105, 111,  78, 102, 108,  76, 102, 105,  75, 100, 104,  76, 100, 105,  74,  98, 104,  73,  96, 102,  72,  95, 101,  70,  93,  99,  68,  91,  97,  67,  89,  95,  69,  91,  97,
    69,  88,  96,  70,  89,  96,  67,  88,  95,  68,  87,  93,  68,  88,  95,  66,  85,  92,  61,  81,  88,  59,  78,  85,  49,  71,  77,  44,  65,  71,  39,  61,  67,  40,  62,  68,  45,  64,  71,  47,  66,  74,  54,  72,  79,  59,  78,  83,  64,  80,  86,  62,  78,  84,  56,  73,  79,  56,  72,  77,  54,  70,  76,
    50,  66,  72,  49,  65,  71,  48,  64,  71,  44,  60,  67,  36,  52,  58,  34,  50,  56,  37,  50,  57,  35,  50,  54,  31,  46,  49,  32,  47,  50,  29,  44,  47,  33,  48,  50,  41,  57,  60,  35,  51,  56,  33,  48,  54,  38,  54,  58, 101, 112, 116,  40,  53,  58,  47,  61,  64,  56,  69,  73,  65,  78,  80,
    72,  85,  87,  82,  95,  96,  88, 101, 100,  92, 105, 104,  98, 110, 110, 105, 118, 117, 108, 120, 118, 112, 123, 121, 110, 121, 120, 104, 114, 114, 137, 145, 147,  83,  95,  98,  84,  95,  99,  68,  78,  83, 141, 150, 152,  91, 102, 105,  92, 104, 106, 145, 153, 155,  96, 107, 109,  95, 108, 108,  95, 109, 109,
    98, 113, 112,  96, 112, 111,  99, 114, 113,  99, 113, 112,  95, 109, 108,  92, 107, 106,  92, 108, 108,  94, 110, 109,  88, 104, 103,  90, 106, 105,  88, 104, 103,  89, 105, 104,  86, 102, 101,  83,  99,  98,  89, 104, 106,  99, 112, 114,  99, 112, 114, 101, 114, 116,  97, 110, 112,  94, 108, 109, 119, 126, 129,
   142, 153, 156,  83,  96,  98,  83,  99,  99,  87, 104, 102,  86, 102, 101,  88, 104, 103,  90, 106, 106,  89, 105, 107,  93, 108, 110,  94, 110, 112, 104, 120, 119, 116, 131, 130, 103, 118, 121,  98, 116, 117,  97, 115, 116,  99, 117, 119,  97, 115, 115,  97, 115, 116, 100, 118, 118, 103, 122, 123, 105, 123, 124,
   106, 124, 125, 107, 125, 126, 107, 125, 125, 105, 125, 126, 109, 129, 131, 112, 130, 134, 146, 159, 162, 135, 147, 152, 117, 131, 135, 165, 179, 179, 142, 156, 157, 133, 147, 146, 133, 148, 147, 141, 155, 154, 137, 152, 150, 139, 153, 151, 140, 157, 155, 144, 161, 158, 150, 167, 164, 155, 170, 167, 164, 178, 174,
   173, 186, 182, 173, 185, 181, 171, 184, 181, 170, 184, 180, 173, 186, 183, 172, 186, 183, 174, 189, 185, 176, 190, 186, 175, 188, 186, 170, 183, 181, 169, 184, 182, 174, 188, 185, 180, 195, 191, 189, 200, 197, 190, 201, 198, 189, 200, 196, 189, 201, 197, 196, 207, 205, 200, 211, 208, 203, 212, 209, 205, 213, 210,
   208, 217, 214, 214, 220, 217, 217, 224, 221, 219, 226, 223, 220, 227, 224, 223, 230, 227, 225, 230, 228, 226, 231, 229, 228, 233, 231, 229, 234, 232, 229, 235, 232, 231, 236, 234, 231, 236, 234, 231, 236, 233, 231, 237, 233, 230, 235, 233, 230, 235, 233, 227, 233, 231, 225, 232, 229, 225, 232, 229, 225, 232, 229,
   180, 199, 205, 178, 197, 204, 177, 196, 203, 177, 196, 203, 176, 195, 202, 176, 195, 202, 177, 195, 202, 177, 195, 202, 175, 193, 200, 175, 193, 200, 170, 189, 196, 162, 184, 192, 156, 181, 188, 153, 179, 186, 149, 176, 186, 155, 179, 188, 160, 183, 192, 166, 188, 195, 170, 190, 196, 172, 191, 198, 170, 190, 196,
   168, 190, 196, 167, 189, 196, 168, 188, 196, 169, 189, 197, 170, 189, 197, 166, 186, 194, 161, 184, 190, 156, 179, 187, 157, 180, 188, 157, 180, 188, 160, 181, 189, 157, 180, 188, 158, 179, 191, 155, 180, 190, 158, 179, 191, 157, 179, 191, 155, 180, 190, 153, 179, 189, 152, 176, 188, 148, 173, 185, 143, 169, 183,
   135, 162, 177, 134, 161, 176, 130, 159, 174, 130, 158, 173, 128, 157, 172, 129, 158, 173, 130, 156, 172, 122, 149, 166, 115, 143, 160, 104, 134, 152,  99, 129, 149,  98, 127, 148,  99, 129, 148,  97, 125, 143,  98, 125, 142,  98, 124, 140, 101, 126, 142, 103, 129, 144,  90, 117, 132,  85, 113, 126, 104, 127, 139,
   112, 135, 147,  95, 120, 134,  89, 114, 130,  88, 113, 129,  89, 114, 130,  89, 114, 130,  88, 114, 128,  91, 115, 127,  89, 113, 125,  89, 113, 125,  86, 111, 120,  82, 106, 118,  85, 109, 121,  88, 113, 124,  91, 116, 126,  91, 116, 126,  91, 116, 126,  89, 114, 124,  89, 115, 122,  88, 114, 120,  79, 105, 111,
    79, 106, 112,  81, 105, 111,  89, 112, 118, 107, 128, 134, 126, 144, 149, 103, 125, 130,  99, 121, 126, 103, 124, 129, 125, 144, 148, 105, 127, 131, 100, 122, 127, 101, 123, 128, 100, 122, 127,  98, 120, 125,  95, 119, 124,  94, 119, 122,  94, 118, 124,  93, 118, 122,  92, 117, 121,  92, 116, 120,  89, 114, 119,
    88, 113, 118,  88, 112, 117,  90, 112, 117,  90, 112, 118,  90, 112, 116,  88, 110, 115,  87, 109, 115,  85, 107, 113,  82, 106, 112,  80, 104, 110,  79, 103, 109,  78, 102, 108,  76, 100, 106,  75,  99, 105,  74,  98, 104,  72,  96, 102,  71,  95, 101,  71,  95, 101,  69,  92,  98,  70,  92,  98,  70,  91,  98,
    68,  89,  95,  66,  88,  94,  68,  88,  95,  70,  89,  96,  68,  87,  94,  64,  83,  89,  62,  81,  88,  55,  74,  81,  46,  68,  74,  40,  62,  68,  41,  62,  69,  40,  62,  68,  44,  63,  70,  51,  70,  77,  57,  75,  82,  62,  80,  85,  64,  80,  86,  59,  76,  83,  58,  76,  81,  53,  70,  77,  52,  68,  75,
    49,  65,  71,  48,  64,  70,  43,  60,  67,  38,  54,  61,  36,  52,  59,  31,  47,  53,  29,  45,  51,  32,  48,  54,  31,  45,  50,  31,  46,  49,  29,  44,  47,  33,  49,  51,  31,  47,  51,  28,  44,  50,  30,  46,  52,  32,  47,  53,  95, 105, 110,  42,  54,  60,  48,  61,  66,  50,  65,  68,  57,  71,  74,
    65,  78,  80,  73,  86,  88,  81,  94,  95,  85,  99,  97,  86, 101,  99,  93, 106, 105,  95, 108, 107, 100, 112, 111, 100, 113, 111,  87,  96,  96, 138, 150, 152,  67,  82,  85,  72,  84,  88,  75,  86,  90, 134, 143, 145,  74,  83,  87,  91, 100, 103,  91, 100, 103, 141, 151, 152,  95, 107, 109,  96, 110, 109,
    95, 109, 108,  97, 111, 110,  98, 112, 111,  98, 112, 111,  92, 106, 104,  92, 107, 106,  94, 110, 109,  92, 108, 107,  88, 104, 103,  86, 102, 101,  87, 103, 102,  87, 103, 102,  86, 102, 101,  82, 100,  99,  88, 103, 105,  94, 109, 111,  99, 113, 116,  99, 112, 113,  98, 111, 113,  95, 109, 112,  89,  99, 101,
   181, 191, 192,  79,  91,  94,  84,  98, 100,  87, 102, 104,  86, 102, 101,  91, 107, 106,  90, 105, 106,  90, 105, 107,  92, 107, 109,  96, 112, 110, 114, 129, 128, 105, 121, 120,  98, 115, 117,  98, 116, 117,  97, 115, 114,  99, 117, 116,  97, 115, 115,  96, 114, 115,  99, 117, 118, 101, 119, 120, 107, 125, 126,
   106, 124, 124, 108, 127, 127, 108, 126, 125, 106, 126, 127, 107, 127, 128, 113, 131, 132, 112, 128, 131, 169, 182, 184, 119, 133, 137, 121, 133, 139, 189, 201, 201, 129, 144, 143, 135, 149, 148, 139, 153, 151, 140, 154, 153, 143, 157, 155, 141, 157, 155, 148, 163, 162, 152, 167, 165, 154, 169, 167, 161, 175, 171,
   172, 184, 181, 178, 189, 186, 174, 186, 183, 173, 187, 183, 176, 189, 186, 175, 188, 186, 174, 188, 184, 174, 188, 185, 174, 187, 186, 171, 185, 183, 169, 183, 181, 172, 186, 183, 178, 192, 188, 184, 195, 192, 193, 204, 201, 189, 200, 197, 190, 201, 198, 193, 204, 200, 200, 209, 205, 204, 213, 208, 205, 214, 210,
   207, 216, 212, 213, 220, 217, 216, 223, 220, 219, 226, 223, 221, 227, 225, 223, 229, 227, 225, 230, 228, 226, 231, 229, 227, 232, 231, 228, 234, 230, 230, 235, 231, 231, 236, 234, 231, 236, 234, 231, 236, 234, 232, 237, 235, 230, 235, 233, 229, 234, 232, 229, 234, 232, 227, 233, 230, 225, 232, 229, 224, 231, 228,
   179, 199, 205, 178, 197, 204, 177, 196, 203, 177, 196, 203, 178, 197, 204, 178, 196, 203, 179, 197, 204, 176, 194, 201, 174, 192, 199, 170, 189, 197, 166, 187, 194, 159, 183, 190, 152, 178, 185, 150, 177, 186, 153, 180, 187, 159, 183, 191, 166, 187, 195, 172, 191, 198, 175, 193, 200, 173, 192, 199, 173, 192, 199,
   169, 191, 197, 170, 191, 198, 173, 192, 199, 173, 191, 198, 169, 188, 196, 164, 185, 192, 158, 181, 188, 154, 177, 185, 153, 177, 184, 156, 178, 187, 156, 179, 188, 159, 182, 190, 158, 180, 191, 158, 180, 191, 158, 180, 191, 157, 179, 190, 155, 179, 189, 152, 177, 188, 149, 174, 186, 143, 169, 182, 140, 167, 181,
   133, 161, 175, 132, 160, 175, 132, 160, 175, 131, 159, 174, 128, 156, 171, 127, 156, 171, 128, 154, 171, 119, 147, 163, 113, 142, 159, 105, 134, 153,  99, 130, 149,  99, 128, 149,  99, 128, 148, 100, 127, 145,  95, 123, 140,  97, 122, 138, 104, 131, 145,  98, 124, 138,  86, 113, 127,  90, 117, 130, 110, 133, 145,
   104, 128, 141,  92, 118, 132,  92, 117, 132,  89, 114, 130,  90, 115, 131,  88, 114, 129,  90, 115, 129,  88, 114, 126,  89, 112, 124,  88, 112, 123,  86, 110, 121,  84, 109, 120,  87, 110, 124,  91, 114, 127,  94, 117, 129,  93, 116, 127,  91, 115, 124,  87, 113, 119,  90, 115, 123,  85, 111, 117,  80, 106, 112,
    83, 109, 115,  88, 112, 118,  93, 116, 122, 116, 135, 141, 119, 138, 143,  99, 122, 127, 100, 122, 127, 105, 126, 132, 125, 143, 146, 100, 122, 127,  98, 120, 125,  99, 121, 127,  99, 121, 126,  98, 120, 125,  97, 119, 125,  94, 118, 124,  97, 120, 126,  93, 117, 123,  91, 115, 121,  90, 115, 119,  88, 112, 118,
    87, 111, 117,  88, 112, 118,  90, 113, 119,  91, 113, 119,  91, 113, 119,  90, 112, 118,  85, 107, 113,  85, 107, 113,  82, 106, 112,  81, 105, 111,  81, 105, 111,  78, 102, 108,  79, 103, 109,  76, 100, 106,  74,  98, 104,  75,  97, 103,  72,  94, 100,  72,  94, 100,  73,  95, 101,  71,  93,  99,  71,  92,  98,
    68,  90,  96,  68,  90,  96,  69,  90,  96,  70,  89,  96,  68,  87,  94,  64,  83,  90,  59,  78,  85,  50,  71,  77,  43,  65,  71,  39,  61,  67,  39,  61,  68,  43,  62,  70,  43,  63,  71,  52,  71,  79,  60,  78,  85,  60,  78,  84,  63,  81,  86,  59,  78,  83,  55,  73,  81,  50,  68,  75,  53,  69,  75,
    49,  65,  71,  46,  62,  69,  40,  58,  65,  35,  53,  60,  37,  54,  61,  35,  50,  57,  31,  47,  53,  30,  46,  52,  29,  44,  51,  30,  45,  48,  29,  43,  46,  30,  47,  50,  27,  44,  48,  28,  44,  50,  31,  48,  54,  21,  35,  43, 110, 121, 125,  45,  57,  63,  47,  61,  67,  48,  62,  67,  54,  69,  73,
    61,  74,  77,  66,  79,  82,  71,  84,  86,  71,  84,  86,  76,  89,  92,  84,  98,  98,  89, 103, 102,  91, 105, 104,  88, 101, 100,  87,  99, 101, 123, 131, 133,  64,  76,  81,  64,  79,  82,  68,  80,  85, 110, 121, 124,  96, 105, 107,  90,  98, 102,  81,  90,  93, 153, 163, 163,  87,  99, 101,  92, 106, 105,
    96, 110, 109,  96, 110, 108,  97, 111, 110,  96, 110, 109,  91, 105, 104,  90, 106, 105,  93, 109, 108,  88, 104, 103,  87, 103, 103,  85, 101, 100,  85, 101, 100,  87, 102, 103,  86, 100, 103,  80,  99, 100,  87, 103, 105,  95, 109, 111,  97, 112, 115,  94, 110, 112,  97, 110, 112,  93, 108, 110,  96, 109, 111,
   144, 154, 155, 111, 122, 127,  82,  96,  98,  88, 103, 105,  86, 102, 101,  91, 107, 106,  92, 108, 106,  89, 104, 107,  93, 108, 110,  96, 110, 113, 119, 133, 132,  98, 114, 116, 104, 120, 121,  96, 114, 113,  96, 114, 113,  99, 117, 116,  98, 116, 116,  96, 114, 115,  99, 117, 118, 104, 122, 123, 105, 123, 124,
   106, 123, 123, 111, 126, 129, 108, 126, 128, 106, 125, 126, 109, 129, 130, 115, 133, 134, 116, 133, 136, 109, 125, 129, 182, 194, 196, 117, 129, 135, 140, 151, 153, 169, 182, 179, 132, 147, 145, 139, 153, 151, 142, 156, 154, 142, 156, 154, 146, 161, 159, 151, 165, 163, 155, 169, 167, 156, 170, 168, 159, 173, 169,
   170, 183, 179, 177, 188, 185, 176, 187, 184, 176, 188, 183, 178, 189, 186, 179, 190, 187, 176, 189, 185, 174, 188, 184, 172, 186, 183, 173, 186, 184, 169, 183, 181, 169, 184, 180, 177, 191, 187, 184, 196, 193, 190, 200, 197, 194, 204, 201, 188, 199, 195, 190, 202, 196, 197, 207, 201, 203, 212, 206, 203, 213, 207,
   206, 216, 210, 213, 219, 217, 215, 222, 219, 219, 226, 223, 221, 227, 224, 223, 228, 226, 224, 229, 228, 227, 232, 229, 228, 233, 230, 228, 233, 230, 229, 234, 232, 230, 235, 233, 232, 237, 235, 231, 236, 234, 231, 236, 234, 230, 235, 233, 230, 235, 233, 229, 234, 232, 228, 233, 231, 225, 232, 229, 224, 231, 228,
   180, 198, 205, 178, 197, 204, 179, 197, 204, 178, 196, 203, 179, 198, 205, 179, 196, 203, 177, 195, 202, 175, 193, 200, 172, 190, 197, 167, 187, 194, 162, 183, 191, 156, 182, 189, 151, 178, 185, 153, 179, 186, 159, 182, 190, 167, 187, 194, 171, 191, 197, 176, 194, 201, 177, 195, 201, 177, 196, 202, 174, 193, 199,
   173, 194, 200, 174, 194, 201, 174, 192, 199, 174, 192, 199, 167, 187, 194, 162, 184, 190, 154, 176, 185, 151, 176, 183, 154, 176, 185, 155, 178, 186, 156, 179, 188, 160, 183, 190, 158, 180, 191, 158, 180, 191, 158, 181, 192, 158, 180, 191, 153, 177, 187, 151, 175, 186, 144, 170, 182, 139, 166, 179, 137, 164, 178,
   133, 162, 176, 136, 163, 177, 133, 162, 176, 135, 161, 177, 131, 159, 175, 128, 156, 173, 124, 152, 169, 115, 144, 161, 110, 140, 157, 106, 136, 154, 100, 130, 149,  99, 129, 148,  99, 127, 147, 100, 128, 145,  95, 124, 139,  98, 124, 140, 106, 132, 146,  92, 119, 133,  85, 112, 126,  98, 125, 137, 112, 136, 149,
    96, 122, 136,  90, 116, 130,  91, 116, 132,  92, 117, 133,  92, 117, 133,  92, 117, 132,  90, 115, 130,  88, 114, 126,  84, 110, 122,  87, 112, 123,  85, 110, 121,  86, 110, 123,  92, 114, 129,  98, 120, 133,  95, 118, 129,  96, 118, 129,  92, 114, 124,  90, 113, 121,  91, 114, 122,  85, 110, 117,  82, 108, 113,
    86, 111, 117,  87, 112, 118,  95, 117, 123, 118, 138, 143, 113, 133, 138,  99, 121, 127, 102, 123, 128, 109, 130, 135, 124, 144, 149,  98, 120, 125,  98, 120, 125,  97, 119, 124,  96, 118, 124,  96, 118, 124,  97, 120, 126,  95, 119, 125,  95, 119, 125,  92, 117, 123,  92, 116, 122,  88, 112, 118,  89, 113, 119,
    90, 113, 119,  91, 114, 120,  92, 114, 120,  92, 114, 120,  90, 112, 118,  88, 110, 116,  87, 109, 115,  85, 107, 113,  82, 105, 111,  80, 104, 110,  80, 104, 110,  79, 103, 109,  79, 102, 108,  76,  99, 105,  77, 100, 106,  75,  97, 103,  74,  96, 102,  74,  96, 102,  72,  94, 100,  72,  93, 100,  71,  93,  99,
    71,  92,  99,  70,  92,  98,  71,  92,  98,  70,  89,  96,  67,  86,  93,  61,  81,  87,  53,  73,  80,  45,  66,  75,  42,  63,  71,  40,  61,  69,  40,  62,  69,  40,  61,  69,  45,  66,  74,  58,  76,  84,  61,  79,  86,  61,  79,  86,  62,  80,  87,  58,  76,  83,  54,  72,  80,  52,  68,  76,  51,  67,  74,
    50,  65,  72,  47,  63,  70,  40,  58,  65,  39,  57,  64,  38,  55,  62,  33,  49,  55,  31,  47,  53,  31,  47,  53,  27,  43,  49,  29,  44,  48,  30,  45,  47,  32,  46,  52,  30,  46,  52,  31,  47,  54,  36,  50,  57,  36,  49,  56,  92, 103, 108,  45,  59,  65,  42,  57,  64,  44,  59,  66,  51,  65,  71,
    56,  69,  76,  59,  71,  75,  57,  71,  75,  58,  73,  76,  67,  81,  84,  75,  89,  91,  82,  95,  95,  79,  94,  94,  81,  94,  96,  80,  93,  95, 117, 127, 130,  47,  60,  66,  64,  78,  85,  66,  80,  85,  57,  69,  73, 139, 148, 154,  84,  95,  97,  88,  97,  99, 144, 155, 155,  83,  95,  95,  91, 103, 103,
    93, 107, 106,  93, 107, 107,  96, 110, 110,  95, 109, 108,  90, 104, 103,  89, 104, 103,  91, 106, 105,  86, 102, 101,  85, 101, 101,  86, 101, 102,  84, 100, 100,  85,  99, 101,  83,  98, 100,  83,  98, 100,  85, 100, 102,  94, 108, 110,  95, 110, 113,  94, 109, 111,  93, 107, 109,  93, 105, 107,  93, 106, 108,
    83,  92,  99, 168, 180, 182,  83,  95,  98,  84,  98, 100,  88, 103, 104,  91, 106, 107,  91, 107, 106,  90, 105, 108,  93, 108, 110,  93, 108, 110, 118, 133, 131,  97, 112, 114, 101, 117, 119,  97, 115, 114,  95, 113, 112,  96, 114, 113,  99, 117, 118,  95, 114, 115, 100, 118, 119, 104, 122, 123, 104, 122, 123,
   107, 124, 124, 111, 128, 127, 112, 129, 128, 109, 127, 126, 111, 129, 128, 114, 132, 131, 117, 135, 137, 117, 133, 136, 111, 126, 131, 179, 190, 194, 118, 127, 132, 181, 192, 191, 141, 153, 153, 139, 152, 150, 143, 156, 154, 141, 156, 154, 148, 162, 160, 152, 166, 164, 158, 172, 170, 158, 171, 169, 159, 174, 169,
   166, 181, 177, 176, 188, 184, 178, 190, 186, 176, 188, 183, 178, 189, 186, 180, 191, 188, 179, 191, 188, 173, 187, 183, 170, 184, 182, 173, 186, 184, 172, 185, 183, 171, 184, 182, 174, 188, 184, 182, 193, 190, 187, 198, 195, 196, 205, 202, 190, 201, 197, 188, 200, 195, 192, 204, 198, 200, 210, 204, 202, 212, 206,
   205, 215, 209, 211, 217, 215, 215, 222, 219, 218, 225, 222, 220, 226, 224, 222, 228, 222, 224, 230, 225, 225, 231, 228, 227, 232, 229, 227, 233, 230, 228, 233, 231, 230, 235, 233, 231, 236, 234, 232, 237, 235, 231, 236, 234, 230, 235, 233, 229, 234, 232, 228, 233, 231, 228, 233, 231, 226, 231, 229, 224, 230, 228,
   180, 198, 205, 180, 199, 205, 179, 197, 204, 180, 198, 205, 180, 198, 205, 180, 198, 204, 176, 194, 201, 172, 191, 198, 167, 189, 195, 162, 184, 191, 157, 182, 188, 155, 181, 188, 154, 180, 186, 159, 182, 191, 165, 188, 194, 173, 192, 199, 176, 194, 201, 178, 196, 202, 177, 196, 201, 178, 197, 202, 176, 195, 201,
   177, 195, 202, 176, 194, 202, 176, 194, 201, 172, 189, 196, 166, 185, 192, 158, 179, 186, 151, 174, 182, 146, 172, 179, 151, 175, 184, 155, 177, 187, 157, 180, 188, 160, 182, 191, 159, 182, 191, 159, 180, 192, 156, 180, 191, 154, 178, 189, 152, 176, 187, 147, 172, 184, 141, 168, 180, 137, 165, 176, 131, 161, 175,
   134, 163, 177, 136, 164, 178, 138, 164, 180, 136, 163, 179, 134, 160, 177, 130, 157, 174, 124, 151, 168, 114, 143, 160, 109, 138, 155, 103, 134, 153, 101, 131, 150, 100, 130, 149,  98, 125, 146,  97, 125, 142,  95, 124, 140, 100, 127, 142,  99, 126, 139,  90, 117, 131,  87, 114, 128, 106, 130, 143, 107, 130, 144,
    92, 118, 133,  91, 117, 133,  90, 116, 132,  92, 118, 134,  95, 120, 136,  92, 117, 132,  89, 115, 129,  87, 113, 125,  84, 110, 122,  87, 111, 123,  85, 109, 121,  89, 112, 127,  96, 117, 132,  99, 121, 135,  96, 118, 130,  95, 116, 128,  91, 114, 122,  89, 113, 121,  91, 114, 122,  86, 110, 118,  84, 108, 116,
    86, 109, 116,  88, 112, 118, 102, 124, 130, 120, 140, 145, 112, 133, 138,  99, 121, 126,  97, 120, 125, 111, 132, 137, 122, 143, 148,  98, 120, 125,  97, 120, 125,  97, 120, 126,  97, 119, 125,  98, 120, 126,  98, 120, 126,  98, 120, 126,  97, 119, 125,  95, 117, 123,  91, 116, 122,  89, 114, 119,  89, 114, 119,
    90, 114, 119,  90, 113, 120,  93, 115, 121,  93, 115, 121,  90, 111, 117,  87, 110, 116,  86, 109, 115,  83, 107, 112,  84, 107, 113,  82, 106, 112,  81, 105, 111,  82, 104, 110,  81, 103, 109,  78, 100, 106,  76,  98, 104,  76,  98, 104,  75,  97, 103,  75,  97, 103,  74,  96, 102,  74,  96, 102,  73,  95, 101,
    73,  92,  99,  75,  94, 101,  71,  91,  98,  71,  90,  97,  67,  86,  93,  62,  80,  88,  50,  71,  79,  46,  67,  75,  42,  63,  71,  41,  62,  70,  38,  60,  68,  43,  64,  72,  52,  71,  79,  58,  77,  86,  61,  79,  86,  61,  79,  86,  58,  76,  83,  59,  77,  84,  52,  69,  78,  48,  64,  73,  49,  66,  72,
    48,  65,  72,  47,  64,  71,  42,  60,  67,  42,  60,  67,  37,  54,  61,  35,  51,  57,  30,  46,  52,  27,  43,  49,  28,  44,  50,  28,  42,  48,  31,  45,  51,  30,  45,  51,  32,  47,  53,  36,  49,  57,  38,  51,  59,  84,  94, 102,  44,  57,  63,  42,  56,  64,  42,  56,  63,  42,  57,  65,  45,  59,  67,
    51,  65,  71,  48,  63,  67,  51,  66,  68,  53,  68,  71,  59,  74,  76,  68,  83,  85,  70,  85,  88,  69,  84,  87,  67,  83,  85,  68,  81,  84, 109, 120, 124,  51,  67,  73,  60,  76,  82,  65,  78,  85,  70,  83,  87, 130, 139, 143,  76,  86,  90,  81,  91,  94, 111, 119, 121, 107, 119, 120,  86,  99, 100,
    89, 102, 103,  89, 102, 104,  93, 106, 108,  92, 107, 106,  87, 101, 100,  88, 102, 101,  88, 103, 102,  84, 100,  99,  83,  99,  98,  84,  99, 101,  84,  99, 101,  81,  96,  98,  83,  98, 100,  82,  96,  98,  85, 100, 102,  91, 106, 108,  93, 108, 111,  94, 109, 110,  92, 105, 107,  91, 105, 105,  88, 102, 102,
    86,  97,  99, 170, 178, 184,  78,  89,  92,  86,  99, 101,  88, 104, 104,  87, 103, 103,  88, 105, 104,  86, 101, 103,  93, 109, 109, 110, 125, 125,  98, 113, 115,  97, 112, 114,  99, 115, 116,  97, 114, 113,  95, 113, 112,  97, 115, 114,  96, 114, 114,  98, 116, 116, 101, 119, 120, 106, 124, 125, 103, 121, 121,
   108, 124, 123, 113, 129, 128, 113, 131, 131, 112, 130, 129, 111, 129, 129, 117, 132, 134, 122, 137, 138, 121, 136, 139, 121, 136, 139, 138, 151, 155, 160, 170, 172, 129, 139, 143, 186, 197, 195, 135, 148, 147, 140, 153, 151, 144, 157, 155, 147, 161, 159, 155, 168, 166, 160, 173, 171, 161, 174, 172, 159, 173, 169,
   164, 178, 174, 175, 186, 183, 179, 190, 187, 176, 188, 184, 177, 188, 185, 182, 193, 190, 183, 192, 189, 180, 190, 187, 172, 185, 182, 172, 185, 183, 174, 187, 185, 171, 184, 181, 174, 188, 184, 180, 191, 188, 186, 197, 194, 191, 201, 198, 194, 205, 201, 189, 201, 195, 191, 203, 197, 195, 206, 200, 201, 211, 205,
   203, 213, 207, 209, 217, 213, 214, 221, 218, 217, 224, 219, 221, 227, 222, 221, 227, 221, 222, 228, 223, 224, 229, 227, 226, 231, 229, 227, 232, 230, 228, 233, 231, 229, 234, 231, 230, 236, 233, 232, 237, 233, 233, 236, 234, 230, 235, 233, 229, 234, 232, 227, 232, 230, 227, 232, 230, 225, 230, 228, 224, 229, 227,
   180, 199, 206, 180, 198, 205, 180, 198, 205, 181, 200, 205, 181, 199, 206, 178, 196, 203, 172, 192, 198, 168, 190, 197, 164, 187, 193, 161, 185, 192, 155, 181, 188, 155, 181, 187, 160, 184, 190, 166, 188, 194, 172, 191, 198, 177, 195, 201, 179, 197, 203, 179, 197, 202, 179, 198, 203, 179, 198, 203, 179, 198, 203,
   178, 198, 203, 177, 196, 201, 174, 192, 199, 169, 188, 195, 159, 181, 187, 155, 177, 184, 150, 172, 180, 148, 172, 180, 151, 175, 183, 154, 177, 185, 159, 180, 188, 162, 183, 191, 160, 181, 191, 159, 181, 192, 155, 179, 189, 154, 178, 190, 150, 174, 186, 142, 169, 181, 138, 165, 177, 134, 163, 175, 133, 162, 175,
   135, 164, 177, 140, 166, 180, 139, 165, 180, 138, 164, 179, 134, 160, 176, 128, 155, 172, 122, 150, 167, 115, 144, 161, 107, 137, 154, 102, 132, 150, 101, 132, 151, 102, 130, 150, 100, 126, 146,  96, 124, 144,  96, 123, 140, 102, 129, 144,  94, 122, 137,  84, 113, 127,  94, 121, 135, 109, 133, 148, 100, 125, 140,
    93, 119, 135,  91, 117, 133,  91, 117, 133,  92, 118, 134,  93, 120, 134,  91, 117, 131,  90, 116, 129,  87, 113, 126,  86, 112, 124,  84, 110, 122,  88, 112, 124,  91, 114, 129,  96, 118, 133,  98, 120, 132,  93, 115, 128,  90, 114, 124,  91, 113, 124,  92, 115, 123,  92, 115, 123,  87, 110, 118,  85, 108, 116,
    87, 111, 117,  89, 112, 118, 105, 126, 133, 120, 139, 145, 104, 125, 130,  99, 121, 126,  97, 119, 124, 114, 135, 140, 116, 138, 143,  95, 119, 124,  96, 120, 126,  95, 118, 126,  98, 120, 128, 100, 121, 129,  98, 121, 126,  96, 120, 126,  97, 119, 125,  97, 119, 125,  94, 116, 121,  92, 114, 119,  93, 115, 120,
    93, 115, 120,  94, 117, 122,  94, 116, 122,  89, 112, 118,  91, 114, 120,  87, 111, 117,  83, 107, 113,  84, 108, 113,  83, 107, 113,  86, 108, 114,  82, 105, 111,  83, 105, 111,  80, 102, 108,  80, 102, 108,  78, 100, 106,  77,  98, 104,  76,  97, 103,  75,  97, 103,  74,  96, 102,  74,  96, 102,  73,  94, 101,
    75,  94, 101,  75,  94, 101,  70,  91,  97,  69,  88,  95,  65,  84,  92,  58,  78,  86,  49,  70,  78,  45,  66,  74,  44,  65,  73,  39,  60,  68,  40,  61,  69,  47,  68,  76,  56,  76,  84,  59,  78,  86,  61,  80,  88,  61,  79,  86,  60,  78,  85,  56,  74,  81,  53,  70,  79,  46,  63,  72,  49,  65,  73,
    49,  66,  73,  47,  64,  71,  42,  61,  68,  42,  60,  67,  41,  58,  65,  35,  52,  59,  31,  47,  53,  30,  46,  52,  28,  45,  51,  31,  45,  51,  33,  47,  53,  33,  48,  55,  37,  51,  57,  39,  52,  58,  38,  50,  56,  98, 107, 113,  31,  45,  51,  37,  50,  58,  41,  54,  62,  41,  54,  62,  41,  56,  63,
    42,  57,  64,  44,  59,  65,  45,  60,  66,  51,  65,  71,  58,  72,  77,  61,  76,  80,  66,  81,  84,  65,  80,  83,  61,  76,  79,  64,  77,  82,  89, 103, 107,  69,  81,  88,  60,  75,  81,  66,  80,  87,  70,  83,  87, 126, 135, 138,  61,  72,  77,  79,  89,  93,  69,  79,  83, 140, 152, 155,  80,  93,  95,
    84,  98,  98,  89, 102, 104,  92, 105, 107,  90, 103, 105,  84,  98,  97,  84,  99,  98,  86, 100,  99,  82,  99,  98,  82,  98,  97,  81,  96,  98,  82,  97,  99,  83,  98, 100,  82,  97,  99,  82,  97,  99,  83,  97,  99,  91, 106, 108,  93, 108, 110,  92, 106, 108,  90, 104, 103,  88, 102, 101,  86, 100,  99,
    82,  94,  95, 115, 123, 126, 138, 147, 148,  84,  97,  98,  88, 103, 105,  88, 103, 105,  88, 104, 103,  89, 104, 106,  89, 104, 105, 114, 129, 129,  92, 109, 110,  95, 111, 113,  98, 113, 115, 100, 116, 117,  96, 114, 114,  96, 114, 115,  97, 115, 116,  98, 115, 117, 102, 120, 122, 106, 124, 125, 104, 122, 123,
   105, 123, 123, 112, 130, 129, 114, 132, 132, 115, 133, 131, 114, 132, 132, 117, 135, 136, 120, 137, 138, 121, 136, 138, 123, 138, 141, 123, 136, 139, 163, 174, 177, 136, 146, 150, 165, 176, 176, 157, 169, 168, 139, 152, 150, 143, 156, 154, 147, 160, 158, 154, 168, 164, 159, 172, 169, 160, 174, 171, 161, 175, 172,
   161, 175, 171, 172, 184, 181, 178, 189, 186, 178, 188, 186, 177, 188, 185, 183, 192, 189, 184, 193, 190, 181, 191, 187, 174, 187, 183, 170, 183, 181, 172, 185, 183, 173, 186, 183, 174, 188, 184, 176, 190, 186, 184, 195, 192, 188, 199, 196, 193, 202, 199, 191, 201, 199, 189, 200, 197, 192, 203, 200, 197, 208, 203,
   203, 212, 208, 207, 215, 212, 213, 220, 217, 215, 222, 220, 219, 226, 220, 221, 226, 224, 222, 228, 226, 224, 228, 227, 225, 230, 228, 227, 232, 230, 227, 232, 230, 228, 233, 231, 230, 235, 232, 230, 236, 232, 233, 236, 234, 230, 235, 233, 228, 233, 231, 226, 231, 229, 226, 231, 229, 224, 230, 228, 223, 229, 226,
   181, 199, 205, 183, 200, 207, 182, 200, 206, 182, 200, 206, 181, 198, 206, 175, 194, 200, 170, 192, 198, 166, 189, 195, 162, 186, 192, 158, 183, 190, 157, 181, 189, 158, 182, 188, 164, 187, 193, 171, 190, 197, 176, 194, 201, 180, 198, 205, 180, 199, 204, 180, 199, 205, 180, 199, 204, 181, 199, 205, 182, 198, 204,
   181, 198, 204, 177, 195, 201, 172, 190, 197, 165, 185, 192, 157, 179, 187, 151, 174, 182, 150, 173, 181, 148, 172, 179, 154, 177, 185, 157, 180, 188, 161, 181, 189, 163, 183, 191, 160, 181, 190, 159, 180, 190, 154, 177, 188, 152, 176, 187, 146, 171, 183, 138, 166, 177, 134, 162, 176, 132, 162, 173, 135, 164, 175,
   138, 165, 179, 140, 167, 181, 141, 167, 181, 139, 165, 179, 136, 161, 177, 130, 155, 171, 120, 148, 164, 111, 140, 157, 105, 135, 152, 102, 132, 150, 104, 133, 150, 103, 130, 148, 103, 129, 148,  99, 126, 143,  97, 124, 141, 101, 127, 142,  93, 119, 135,  85, 113, 128, 100, 127, 141, 107, 132, 146,  95, 121, 137,
    91, 117, 133,  91, 117, 133,  92, 118, 134,  91, 116, 132,  92, 119, 133,  91, 118, 132,  90, 116, 130,  85, 111, 124,  84, 110, 122,  87, 112, 124,  90, 113, 126,  94, 117, 132,  95, 118, 133,  95, 118, 131,  91, 115, 127,  92, 117, 127,  91, 114, 124,  92, 114, 122,  91, 114, 122,  86, 110, 116,  86, 111, 116,
    86, 110, 116,  91, 115, 121, 111, 131, 138, 119, 138, 144, 104, 125, 130,  98, 120, 125,  96, 119, 123, 116, 137, 141, 111, 134, 138,  94, 119, 124,  96, 120, 127,  98, 121, 129, 100, 122, 130,  97, 121, 129,  98, 121, 128,  97, 120, 126,  95, 120, 126,  95, 117, 123,  94, 116, 122,  91, 115, 119,  94, 116, 121,
    92, 115, 120,  95, 117, 122,  93, 116, 121,  90, 113, 119,  89, 113, 119,  87, 111, 116,  85, 109, 114,  83, 107, 112,  86, 108, 113,  84, 106, 112,  84, 106, 112,  79, 103, 109,  77, 101, 107,  80, 102, 108,  76,  98, 104,  76,  98, 104,  76,  98, 103,  76,  98, 104,  75,  97, 101,  76,  98, 103,  75,  96, 101,
    75,  94, 100,  71,  93,  99,  71,  92,  98,  69,  88,  96,  64,  83,  91,  54,  75,  83,  51,  71,  79,  46,  67,  75,  46,  67,  75,  37,  61,  67,  42,  65,  71,  50,  72,  79,  59,  78,  85,  58,  77,  85,  60,  79,  86,  61,  80,  87,  60,  78,  86,  57,  75,  82,  51,  68,  77,  47,  64,  73,  45,  63,  72,
    47,  64,  73,  46,  64,  71,  44,  62,  69,  42,  60,  67,  38,  56,  63,  38,  55,  62,  34,  51,  58,  30,  47,  54,  32,  48,  55,  33,  48,  56,  34,  50,  57,  35,  50,  58,  37,  51,  58,  37,  50,  56,  28,  41,  47, 101, 112, 117,  35,  49,  57,  37,  50,  58,  37,  50,  59,  37,  53,  60,  37,  53,  60,
    36,  54,  61,  35,  53,  60,  39,  57,  63,  45,  61,  67,  54,  70,  76,  55,  70,  77,  59,  75,  79,  61,  75,  80,  60,  74,  79,  61,  74,  80,  59,  70,  76, 105, 117, 122,  60,  75,  82,  65,  79,  85,  64,  77,  83,  78,  87,  95, 107, 117, 123,  76,  85,  93,  63,  74,  81, 137, 147, 151,  75,  88,  90,
    78,  91,  93,  85,  98, 100,  86,  99, 101,  81,  96,  98,  77,  93,  94,  81,  96,  95,  79,  95,  94,  79,  95,  94,  78,  94,  94,  79,  94,  96,  80,  95,  97,  79,  94,  96,  80,  95,  97,  79,  94,  96,  79,  94,  96,  87, 102, 104,  93, 108, 110,  91, 106, 108,  89, 104, 103,  87, 101, 100,  84,  98,  98,
    77,  90,  91,  69,  78,  80, 180, 191, 191,  79,  91,  94,  87, 102, 105,  89, 104, 106,  86, 101, 103,  85, 100, 102,  92, 108, 108, 108, 124, 125,  93, 110, 111,  91, 109, 110,  95, 111, 113,  96, 113, 114,  96, 114, 115,  96, 114, 115,  97, 114, 116,  99, 116, 118, 103, 121, 123, 105, 123, 123, 104, 122, 123,
   106, 124, 124, 109, 127, 127, 115, 133, 133, 116, 134, 133, 115, 133, 132, 115, 133, 132, 120, 137, 138, 120, 137, 138, 124, 139, 141, 123, 138, 140, 116, 131, 132, 186, 197, 198, 127, 137, 141, 190, 200, 200, 139, 151, 149, 139, 153, 149, 146, 160, 156, 153, 166, 162, 161, 173, 170, 161, 174, 172, 162, 175, 173,
   163, 178, 173, 170, 181, 178, 177, 188, 185, 175, 186, 183, 177, 187, 184, 182, 192, 185, 183, 193, 189, 181, 190, 186, 178, 190, 187, 172, 186, 182, 171, 185, 181, 172, 186, 182, 175, 189, 185, 175, 189, 185, 178, 190, 187, 183, 195, 192, 187, 198, 195, 192, 203, 200, 189, 200, 197, 189, 200, 197, 194, 205, 202,
   200, 209, 206, 204, 213, 210, 211, 218, 215, 215, 222, 219, 217, 224, 221, 219, 224, 222, 220, 225, 223, 223, 228, 225, 224, 229, 226, 225, 230, 228, 226, 232, 228, 227, 232, 230, 228, 233, 231, 229, 235, 231, 230, 235, 233, 231, 235, 233, 229, 232, 230, 226, 231, 229, 224, 229, 227, 223, 228, 226, 223, 228, 226,
   180, 198, 205, 182, 199, 206, 184, 201, 208, 181, 199, 206, 176, 195, 202, 172, 193, 199, 169, 191, 197, 163, 186, 195, 159, 184, 191, 159, 183, 191, 161, 184, 190, 164, 187, 192, 171, 190, 197, 174, 193, 200, 180, 198, 203, 180, 199, 204, 180, 198, 204, 180, 199, 204, 182, 200, 206, 184, 200, 206, 183, 199, 205,
   179, 197, 202, 177, 195, 200, 168, 187, 194, 160, 182, 188, 156, 177, 186, 152, 175, 183, 149, 172, 180, 151, 174, 182, 157, 179, 187, 161, 181, 189, 162, 183, 191, 162, 183, 190, 160, 181, 189, 157, 179, 190, 154, 178, 189, 151, 175, 187, 146, 171, 183, 141, 167, 181, 138, 166, 176, 137, 165, 179, 138, 165, 179,
   141, 167, 181, 142, 168, 180, 140, 166, 179, 140, 166, 180, 135, 161, 175, 130, 156, 170, 116, 145, 160, 111, 140, 156, 102, 132, 149, 103, 132, 149, 105, 133, 150, 104, 132, 149, 103, 129, 146,  97, 125, 142,  99, 125, 141,  96, 123, 138,  86, 114, 129,  90, 115, 132, 104, 129, 143, 104, 129, 144,  94, 120, 136,
    91, 117, 133,  94, 119, 135,  91, 117, 132,  93, 118, 133,  92, 119, 133,  92, 118, 132,  88, 114, 128,  86, 112, 125,  83, 109, 121,  85, 111, 123,  89, 114, 126,  93, 116, 131,  93, 116, 131,  94, 118, 130,  93, 117, 129,  92, 117, 127,  90, 115, 125,  92, 115, 123,  91, 115, 121,  85, 108, 115,  86, 110, 116,
    89, 113, 119,  94, 118, 124, 114, 134, 140, 120, 140, 146, 100, 121, 127,  94, 116, 121,  93, 119, 122, 118, 139, 143, 106, 130, 134,  96, 120, 125,  97, 121, 127, 100, 123, 131,  99, 122, 130,  97, 120, 128,  98, 122, 129,  97, 121, 127,  96, 119, 125,  93, 117, 121,  92, 115, 119,  94, 115, 121,  93, 116, 121,
    94, 117, 122,  95, 118, 123,  92, 115, 120,  89, 114, 118,  90, 114, 118,  85, 110, 114,  85, 110, 114,  86, 109, 114,  86, 108, 113,  85, 107, 112,  84, 106, 112,  82, 105, 111,  80, 102, 108,  76, 100, 107,  79, 101, 107,  79, 100, 106,  78,  99, 104,  75,  97, 103,  76,  98, 103,  76,  98, 103,  76,  97, 102,
    76,  96, 101,  68,  90,  96,  69,  89,  96,  69,  88,  96,  59,  80,  88,  52,  73,  81,  50,  71,  79,  47,  69,  77,  48,  69,  77,  42,  65,  71,  47,  69,  75,  52,  73,  79,  57,  76,  83,  59,  78,  85,  63,  82,  89,  63,  82,  89,  61,  79,  86,  56,  74,  80,  51,  68,  77,  46,  64,  73,  47,  64,  73,
    49,  66,  74,  49,  67,  74,  45,  63,  70,  43,  61,  68,  40,  58,  65,  36,  54,  61,  34,  52,  59,  29,  47,  54,  34,  50,  57,  34,  50,  57,  33,  49,  56,  35,  51,  57,  36,  50,  56,  36,  49,  55,  29,  42,  48,  94, 106, 112,  31,  45,  53,  30,  47,  54,  33,  49,  56,  32,  49,  56,  34,  49,  56,
    33,  51,  58,  34,  52,  60,  37,  56,  61,  47,  65,  71,  53,  69,  75,  53,  69,  75,  55,  72,  78,  56,  71,  77,  58,  72,  78,  61,  74,  80,  35,  46,  53, 118, 131, 138,  63,  76,  84,  64,  78,  84,  61,  74,  80,  43,  54,  62, 134, 144, 152,  69,  79,  88,  70,  79,  89, 131, 143, 148,  60,  72,  76,
    75,  86,  90,  78,  93,  96,  78,  93,  96,  77,  92,  94,  75,  91,  91,  75,  91,  90,  76,  92,  90,  76,  91,  91,  76,  91,  93,  75,  90,  92,  77,  92,  94,  76,  91,  93,  78,  93,  95,  79,  94,  96,  79,  94,  96,  84,  98, 100,  89, 105, 104,  89, 105, 105,  88, 103, 102,  85,  99,  98,  83,  97,  98,
    78,  91,  93,  77,  87,  90, 170, 175, 179,  85,  94,  99,  86, 100, 103,  89, 103, 105,  87, 102, 104,  83,  98, 101, 106, 122, 121,  95, 111, 111,  94, 111, 111,  90, 108, 109,  95, 111, 112,  96, 113, 114,  96, 114, 115,  97, 115, 116,  97, 115, 116, 100, 118, 119, 103, 121, 122, 105, 122, 123, 108, 123, 125,
   105, 123, 124, 111, 129, 130, 116, 134, 136, 118, 136, 137, 118, 136, 134, 119, 137, 136, 120, 136, 137, 119, 135, 137, 124, 139, 141, 125, 140, 142, 127, 140, 143, 121, 136, 136, 178, 188, 189, 156, 166, 168, 169, 180, 178, 141, 152, 150, 142, 156, 153, 151, 165, 161, 158, 172, 168, 163, 174, 172, 161, 174, 172,
   162, 176, 172, 168, 180, 177, 175, 186, 183, 173, 184, 181, 175, 186, 180, 180, 190, 185, 184, 193, 188, 180, 190, 184, 177, 188, 185, 174, 187, 183, 172, 186, 182, 173, 187, 183, 175, 189, 185, 175, 189, 185, 176, 190, 186, 176, 191, 186, 183, 195, 192, 188, 199, 196, 191, 202, 199, 187, 198, 195, 192, 204, 201,
   197, 206, 203, 202, 211, 208, 207, 215, 212, 214, 221, 218, 216, 223, 220, 219, 224, 222, 220, 224, 223, 220, 226, 223, 221, 227, 224, 223, 229, 226, 225, 230, 228, 225, 230, 228, 227, 232, 230, 228, 233, 230, 229, 234, 232, 229, 234, 232, 228, 233, 231, 226, 231, 229, 224, 228, 226, 221, 228, 225, 220, 227, 224,
   183, 200, 207, 185, 201, 208, 183, 200, 207, 181, 199, 206, 175, 194, 201, 170, 192, 198, 168, 190, 197, 164, 187, 195, 161, 184, 192, 163, 186, 192, 164, 187, 193, 169, 190, 197, 174, 193, 198, 178, 196, 202, 181, 197, 203, 181, 197, 203, 182, 200, 206, 184, 200, 206, 184, 201, 207, 184, 200, 206, 183, 199, 205,
   180, 196, 203, 172, 192, 197, 165, 185, 192, 159, 181, 187, 155, 178, 184, 153, 176, 182, 153, 176, 184, 156, 178, 186, 160, 181, 189, 160, 182, 189, 164, 184, 190, 162, 183, 190, 161, 182, 190, 156, 178, 188, 152, 177, 187, 150, 174, 186, 147, 171, 183, 143, 168, 181, 141, 167, 180, 140, 166, 179, 141, 167, 181,
   142, 168, 181, 141, 166, 178, 139, 164, 178, 139, 164, 178, 135, 160, 174, 126, 152, 167, 113, 142, 157, 107, 137, 152, 101, 132, 148, 103, 131, 148, 106, 133, 150, 106, 132, 149, 100, 127, 144,  95, 123, 138,  98, 125, 140,  95, 121, 135,  89, 116, 130,  97, 123, 138, 106, 130, 145, 102, 127, 143,  92, 118, 134,
    92, 118, 134,  92, 118, 134,  92, 118, 133,  91, 117, 132,  93, 119, 133,  92, 118, 132,  88, 114, 126,  86, 112, 124,  85, 111, 123,  84, 110, 122,  91, 115, 127,  92, 117, 129,  92, 117, 129,  94, 118, 130,  93, 118, 130,  92, 117, 127,  91, 116, 123,  93, 116, 124,  90, 113, 121,  82, 106, 112,  86, 110, 116,
    89, 113, 119,  99, 122, 128, 119, 138, 145, 114, 133, 140,  97, 119, 124,  92, 117, 121,  89, 114, 118, 122, 143, 145, 105, 129, 133,  97, 122, 127,  98, 122, 128, 100, 123, 130, 100, 123, 130, 100, 124, 130,  98, 122, 128,  96, 120, 126,  94, 119, 124,  93, 118, 122,  93, 115, 120,  94, 116, 121,  94, 116, 121,
    95, 117, 122,  94, 116, 121,  94, 116, 121,  91, 113, 119,  90, 112, 117,  87, 112, 116,  84, 109, 113,  86, 109, 114,  86, 108, 113,  85, 107, 112,  82, 104, 109,  83, 105, 110,  81, 104, 110,  79, 102, 108,  81, 103, 109,  78, 100, 106,  77,  99, 105,  77,  99, 104,  76,  99, 104,  76,  98, 103,  75,  95, 100,
    73,  93,  98,  73,  92,  99,  70,  90,  96,  66,  86,  93,  57,  77,  85,  52,  73,  81,  50,  71,  79,  49,  70,  78,  48,  69,  77,  49,  71,  78,  51,  72,  79,  53,  73,  80,  56,  75,  82,  58,  77,  84,  62,  81,  88,  62,  81,  89,  59,  77,  84,  55,  74,  81,  51,  69,  77,  48,  66,  75,  48,  66,  74,
    50,  67,  75,  50,  67,  74,  47,  65,  72,  45,  63,  70,  40,  58,  65,  36,  54,  61,  34,  52,  59,  34,  51,  58,  34,  50,  57,  34,  50,  57,  36,  52,  59,  34,  50,  56,  34,  50,  56,  33,  47,  53,  81,  93,  97,  37,  50,  57,  30,  44,  52,  29,  45,  52,  28,  45,  52,  30,  47,  55,  31,  49,  55,
    34,  51,  58,  37,  54,  60,  38,  57,  62,  43,  61,  66,  48,  67,  72,  51,  66,  73,  53,  69,  75,  53,  69,  75,  57,  71,  77,  58,  71,  79,  37,  50,  59, 121, 132, 139,  63,  75,  83,  61,  73,  80,  56,  70,  76,  57,  70,  78, 124, 133, 140,  61,  70,  80,  65,  75,  84, 118, 127, 136,  75,  86,  92,
    69,  82,  86,  73,  88,  90,  74,  89,  92,  72,  87,  89,  70,  85,  86,  72,  87,  88,  72,  88,  91,  71,  89,  90,  71,  88,  89,  75,  90,  92,  72,  87,  89,  73,  88,  90,  76,  91,  94,  76,  91,  94,  77,  92,  93,  78,  93,  95,  86, 101, 102,  87, 102, 102,  84,  99,  99,  84,  98,  99,  80,  94,  96,
    78,  92,  94,  77,  90,  93, 111, 119, 122, 134, 144, 144,  85,  98, 101,  88, 102, 103,  85, 101, 101,  80,  96,  95, 109, 124, 125,  93, 110, 111,  94, 111, 112,  89, 107, 107,  93, 109, 110,  92, 110, 110,  95, 112, 112,  94, 113, 113,  99, 115, 115, 101, 117, 118, 105, 120, 119, 109, 125, 123, 109, 125, 127,
   108, 123, 125, 105, 123, 124, 112, 130, 131, 117, 134, 135, 119, 136, 135, 120, 137, 137, 118, 136, 137, 117, 136, 137, 121, 138, 138, 125, 140, 140, 125, 141, 141, 124, 139, 139, 153, 165, 164, 147, 154, 156, 189, 200, 196, 141, 153, 152, 143, 156, 154, 147, 161, 158, 154, 168, 164, 160, 172, 170, 159, 172, 170,
   158, 171, 167, 161, 175, 172, 171, 182, 179, 173, 184, 181, 174, 185, 179, 177, 187, 181, 181, 191, 186, 178, 188, 185, 176, 187, 184, 176, 187, 184, 174, 187, 183, 173, 187, 183, 175, 189, 185, 176, 190, 186, 176, 190, 186, 174, 188, 184, 176, 190, 186, 183, 194, 191, 189, 200, 197, 187, 198, 195, 189, 201, 197,
   195, 205, 201, 198, 207, 205, 202, 212, 209, 211, 218, 215, 214, 221, 217, 217, 222, 220, 218, 223, 220, 219, 224, 222, 220, 225, 223, 221, 226, 224, 223, 228, 225, 223, 228, 226, 225, 231, 226, 225, 231, 227, 227, 232, 229, 226, 231, 229, 226, 231, 229, 225, 230, 228, 222, 227, 226, 220, 227, 223, 218, 225, 222,
   184, 202, 207, 182, 200, 207, 182, 199, 206, 178, 196, 203, 172, 192, 199, 169, 191, 197, 168, 191, 197, 165, 187, 193, 165, 187, 194, 167, 188, 195, 168, 189, 195, 174, 194, 199, 176, 195, 200, 179, 198, 203, 182, 198, 204, 182, 198, 204, 182, 201, 205, 185, 201, 207, 186, 201, 207, 184, 200, 206, 182, 198, 204,
   177, 195, 200, 169, 189, 195, 162, 184, 190, 159, 181, 187, 157, 179, 185, 156, 178, 184, 158, 180, 187, 160, 181, 188, 162, 183, 190, 161, 183, 190, 161, 182, 189, 162, 183, 190, 158, 180, 188, 156, 179, 187, 153, 177, 187, 149, 173, 185, 147, 171, 183, 146, 170, 182, 143, 169, 181, 140, 166, 178, 141, 167, 179,
   140, 165, 179, 139, 164, 177, 141, 165, 177, 138, 161, 176, 131, 156, 171, 121, 148, 163, 110, 139, 154, 101, 132, 147, 103, 132, 148, 105, 132, 150, 107, 133, 150, 103, 130, 146,  96, 125, 141,  94, 123, 137,  98, 125, 139,  93, 119, 133,  89, 115, 130, 100, 126, 141, 104, 129, 144,  95, 121, 136,  92, 117, 133,
    91, 117, 133,  92, 117, 133,  92, 118, 133,  91, 117, 132,  92, 118, 132,  90, 116, 130,  86, 112, 125,  85, 111, 123,  86, 112, 124,  86, 112, 124,  91, 115, 127,  91, 116, 128,  92, 118, 130,  96, 120, 131,  94, 119, 130,  91, 116, 126,  91, 115, 123,  93, 116, 124,  89, 112, 120,  86, 110, 116,  89, 112, 119,
    92, 115, 124, 108, 129, 137, 120, 139, 147, 107, 129, 135,  93, 116, 122,  90, 116, 119,  92, 117, 121, 129, 148, 151, 104, 127, 132, 102, 124, 129,  98, 122, 128,  98, 122, 128, 102, 125, 131,  97, 122, 127,  99, 123, 129,  96, 121, 126,  93, 118, 123,  92, 117, 121,  93, 115, 120,  95, 117, 122,  96, 118, 123,
    96, 118, 123,  93, 117, 121,  90, 114, 118,  90, 112, 117,  88, 110, 115,  89, 111, 116,  86, 110, 114,  88, 110, 115,  84, 106, 111,  85, 107, 112,  85, 107, 112,  82, 104, 109,  79, 103, 109,  79, 102, 108,  79, 101, 106,  78, 100, 105,  77,  99, 104,  77,  99, 104,  77, 100, 105,  76,  98, 103,  73,  95, 100,
    70,  91,  96,  70,  89,  96,  68,  87,  94,  62,  83,  90,  54,  76,  83,  53,  74,  81,  50,  72,  79,  53,  73,  81,  50,  71,  79,  51,  72,  80,  54,  73,  80,  56,  75,  82,  58,  77,  84,  59,  78,  85,  63,  83,  88,  63,  83,  88,  60,  78,  85,  52,  71,  78,  51,  70,  78,  48,  67,  75,  47,  66,  74,
    52,  68,  77,  51,  69,  76,  50,  68,  75,  46,  64,  71,  44,  62,  69,  39,  57,  64,  38,  54,  61,  36,  52,  59,  33,  50,  57,  36,  52,  58,  35,  51,  57,  32,  48,  54,  32,  48,  54,  29,  45,  50,  86,  97, 102,  27,  41,  48,  31,  45,  53,  30,  46,  53,  30,  48,  55,  30,  48,  55,  33,  50,  57,
    37,  53,  60,  39,  55,  61,  40,  56,  62,  45,  61,  68,  47,  63,  69,  47,  66,  71,  50,  66,  72,  51,  68,  74,  55,  71,  78,  58,  72,  81,  45,  58,  68, 110, 120, 126,  62,  74,  80,  58,  72,  79,  56,  70,  77,  59,  73,  80, 117, 127, 134,  53,  64,  74,  59,  69,  79,  70,  80,  90, 115, 126, 131,
    66,  79,  85,  63,  78,  83,  68,  83,  87,  68,  83,  86,  66,  81,  83,  67,  82,  84,  66,  83,  86,  65,  82,  85,  66,  83,  85,  68,  83,  85,  66,  84,  86,  70,  84,  87,  69,  84,  87,  71,  86,  89,  71,  87,  89,  74,  89,  91,  81,  96,  98,  86, 101, 101,  81,  97,  97,  79,  94,  96,  79,  94,  96,
    77,  92,  94,  75,  88,  91,  68,  77,  81, 177, 187, 186,  79,  92,  95,  88, 102, 103,  85, 100, 100, 102, 118, 118,  86, 102, 103,  91, 108, 109,  93, 109, 110,  90, 108, 109,  91, 108, 107,  91, 109, 108,  89, 108, 107,  94, 111, 110,  96, 113, 112, 103, 119, 118, 104, 120, 119, 107, 123, 122, 110, 125, 124,
   109, 124, 125, 106, 124, 125, 111, 129, 130, 116, 131, 132, 120, 136, 135, 121, 136, 137, 117, 135, 136, 118, 136, 137, 121, 139, 138, 124, 140, 139, 124, 140, 139, 124, 140, 138, 120, 136, 135, 182, 191, 191, 148, 156, 153, 172, 185, 182, 138, 151, 149, 145, 158, 156, 152, 165, 163, 154, 167, 165, 157, 170, 168,
   155, 169, 165, 156, 170, 166, 164, 176, 173, 171, 182, 179, 172, 184, 178, 175, 186, 180, 175, 186, 181, 175, 186, 183, 174, 185, 182, 172, 185, 182, 173, 185, 182, 174, 185, 182, 175, 187, 184, 176, 189, 186, 179, 189, 186, 175, 189, 185, 175, 188, 184, 177, 191, 187, 182, 194, 191, 187, 198, 195, 187, 198, 194,
   192, 201, 199, 196, 205, 202, 199, 208, 205, 206, 213, 209, 212, 219, 216, 215, 220, 218, 217, 221, 220, 218, 223, 221, 219, 223, 222, 219, 224, 221, 220, 225, 222, 220, 227, 224, 223, 229, 223, 224, 228, 226, 225, 230, 228, 224, 229, 227, 224, 228, 227, 224, 229, 227, 221, 226, 224, 219, 227, 224, 218, 225, 222,
   182, 202, 207, 181, 200, 206, 180, 198, 205, 175, 194, 201, 172, 192, 199, 171, 191, 198, 171, 191, 198, 170, 191, 197, 169, 190, 196, 172, 192, 197, 172, 193, 197, 175, 194, 199, 178, 197, 202, 180, 198, 203, 184, 199, 206, 183, 200, 204, 185, 202, 205, 187, 204, 206, 186, 202, 208, 185, 201, 207, 182, 198, 204,
   175, 194, 199, 171, 190, 196, 162, 184, 190, 160, 181, 187, 161, 180, 187, 163, 182, 189, 164, 183, 190, 161, 183, 189, 163, 184, 190, 162, 184, 189, 163, 184, 190, 161, 182, 189, 159, 181, 189, 156, 178, 189, 152, 177, 187, 149, 174, 185, 148, 172, 184, 147, 171, 183, 144, 168, 180, 141, 165, 179, 138, 164, 178,
   138, 164, 178, 137, 163, 177, 137, 160, 175, 137, 160, 175, 128, 152, 167, 116, 144, 158, 107, 137, 151,  98, 129, 144, 103, 133, 148, 105, 133, 149, 106, 133, 150,  99, 127, 144,  95, 123, 139,  93, 122, 136,  96, 123, 137,  91, 118, 132,  94, 120, 135, 105, 130, 145, 104, 129, 146,  94, 119, 135,  92, 118, 133,
    93, 119, 134,  91, 118, 132,  91, 118, 132,  91, 117, 131,  90, 116, 130,  88, 114, 128,  85, 111, 125,  83, 110, 122,  89, 114, 126,  92, 116, 128,  92, 116, 128,  92, 116, 128,  94, 118, 130,  94, 120, 129,  94, 119, 129,  94, 119, 129,  89, 114, 123,  94, 117, 125,  91, 114, 122,  90, 113, 121,  91, 114, 122,
    95, 117, 125, 113, 133, 141, 114, 135, 143, 103, 124, 131,  92, 116, 122,  92, 116, 121,  93, 118, 122, 135, 153, 157, 104, 128, 132,  97, 122, 127, 101, 125, 131, 102, 124, 130, 101, 123, 128, 101, 123, 128,  96, 121, 126,  94, 119, 124,  92, 117, 121,  90, 115, 119,  93, 117, 121,  96, 118, 123,  96, 118, 123,
    94, 118, 123,  93, 116, 121,  89, 112, 117,  91, 113, 118,  89, 111, 116,  88, 110, 115,  87, 109, 114,  86, 108, 113,  88, 110, 115,  86, 108, 113,  83, 105, 110,  82, 104, 109,  82, 104, 109,  80, 102, 107,  78, 100, 105,  77, 100, 104,  81, 102, 107,  78, 100, 105,  77,  99, 104,  76,  98, 103,  75,  97, 103,
    72,  93,  99,  70,  89,  96,  69,  88,  95,  61,  82,  88,  56,  78,  84,  53,  75,  80,  52,  72,  80,  55,  74,  82,  56,  75,  83,  54,  73,  80,  53,  72,  79,  54,  73,  80,  57,  76,  82,  61,  80,  87,  63,  83,  88,  63,  82,  88,  61,  79,  86,  53,  72,  79,  52,  71,  79,  48,  67,  75,  52,  70,  78,
    56,  73,  80,  53,  71,  78,  51,  69,  76,  51,  67,  74,  45,  62,  69,  40,  57,  65,  42,  57,  64,  35,  52,  59,  34,  51,  58,  34,  52,  58,  33,  49,  55,  35,  50,  56,  30,  45,  51,  20,  35,  42,  96, 107, 112,  30,  43,  51,  29,  43,  50,  30,  46,  53,  32,  49,  56,  33,  51,  58,  33,  50,  57,
    37,  53,  60,  39,  54,  60,  39,  55,  61,  44,  60,  67,  46,  62,  69,  44,  62,  69,  44,  63,  69,  49,  67,  73,  56,  72,  79,  57,  72,  81,  48,  61,  71, 122, 134, 138,  57,  70,  76,  57,  71,  77,  58,  72,  78,  55,  71,  78,  78,  84,  93,  97, 106, 114,  58,  68,  78,  44,  55,  64, 136, 147, 154,
    60,  74,  80,  64,  78,  84,  65,  80,  83,  65,  80,  83,  62,  77,  80,  63,  78,  81,  63,  79,  82,  62,  79,  82,  61,  78,  81,  63,  79,  82,  63,  79,  82,  61,  78,  81,  66,  81,  84,  66,  82,  85,  64,  81,  85,  68,  83,  86,  76,  91,  93,  81,  96,  98,  76,  91,  93,  77,  92,  94,  77,  92,  94,
    75,  89,  91,  74,  86,  88,  71,  81,  85, 167, 179, 177,  74,  83,  86,  86, 100, 101,  84,  98,  99, 102, 117, 117,  88, 104, 104,  90, 105, 107,  92, 107, 109,  90, 104, 107,  90, 107, 106,  89, 106, 105,  91, 109, 108,  92, 108, 108,  98, 114, 113, 101, 116, 116, 105, 120, 119, 108, 123, 122, 110, 125, 125,
   108, 125, 124, 105, 124, 123, 107, 125, 124, 117, 133, 132, 121, 136, 135, 121, 137, 136, 118, 136, 136, 117, 135, 134, 118, 136, 135, 123, 139, 138, 125, 141, 140, 128, 142, 141, 125, 140, 139, 126, 139, 138, 172, 181, 180, 186, 196, 191, 140, 153, 151, 143, 156, 154, 149, 162, 160, 154, 167, 165, 155, 169, 164,
   153, 167, 164, 152, 166, 162, 157, 172, 167, 167, 178, 175, 170, 182, 178, 171, 182, 178, 172, 182, 180, 172, 183, 180, 173, 184, 181, 173, 184, 181, 169, 183, 179, 170, 184, 180, 174, 187, 183, 176, 187, 184, 179, 190, 187, 176, 188, 184, 172, 186, 182, 173, 186, 182, 177, 190, 186, 183, 195, 190, 187, 198, 195,
   188, 198, 195, 193, 202, 199, 195, 204, 201, 199, 208, 205, 205, 213, 210, 210, 217, 214, 214, 221, 218, 215, 222, 219, 216, 222, 219, 217, 222, 220, 217, 224, 221, 218, 224, 221, 220, 226, 223, 221, 226, 224, 222, 227, 225, 222, 227, 224, 221, 226, 223, 220, 225, 222, 220, 226, 224, 218, 225, 222, 216, 223, 220,
   183, 202, 207, 182, 201, 206, 179, 198, 203, 176, 196, 200, 173, 192, 198, 175, 194, 200, 174, 193, 200, 174, 193, 200, 173, 192, 199, 174, 194, 199, 176, 195, 200, 177, 196, 201, 180, 197, 202, 182, 198, 204, 183, 200, 205, 188, 204, 207, 188, 203, 206, 189, 204, 207, 187, 203, 207, 184, 200, 205, 181, 197, 203,
   176, 194, 200, 169, 188, 195, 167, 186, 192, 165, 185, 191, 165, 184, 190, 166, 185, 191, 164, 183, 190, 163, 183, 190, 162, 183, 189, 161, 183, 189, 160, 182, 189, 161, 182, 189, 160, 181, 189, 157, 179, 190, 152, 176, 186, 150, 175, 185, 150, 174, 185, 148, 171, 183, 144, 168, 180, 140, 164, 178, 136, 162, 176,
   135, 162, 176, 135, 161, 175, 136, 159, 174, 132, 156, 171, 125, 151, 165, 112, 140, 155, 102, 133, 147, 100, 131, 146, 102, 131, 146, 107, 134, 150, 104, 131, 148,  97, 125, 143,  95, 123, 138,  99, 125, 141,  95, 122, 137,  89, 115, 130,  99, 126, 140, 108, 133, 147, 100, 125, 141,  94, 119, 135,  96, 122, 136,
    92, 119, 133,  91, 118, 132,  90, 117, 131,  91, 117, 131,  88, 114, 128,  86, 112, 127,  86, 112, 124,  85, 111, 123,  88, 114, 126,  91, 115, 127,  92, 115, 127,  89, 114, 126,  94, 118, 130,  94, 119, 128,  95, 119, 130,  93, 118, 128,  92, 117, 126,  93, 115, 124,  93, 116, 124,  92, 115, 123,  93, 116, 124,
    97, 120, 128, 110, 131, 140, 114, 136, 143,  99, 122, 128,  91, 115, 121,  91, 116, 122, 100, 124, 129, 135, 154, 160, 105, 129, 134, 101, 126, 130, 102, 127, 131, 101, 124, 129, 102, 124, 129, 100, 121, 126,  96, 122, 126,  94, 119, 123,  91, 116, 120,  92, 116, 120,  96, 117, 122,  96, 118, 123,  96, 118, 123,
    93, 117, 121,  92, 117, 121,  89, 113, 117,  90, 112, 117,  88, 110, 115,  87, 109, 114,  87, 109, 114,  89, 111, 116,  87, 109, 114,  85, 107, 112,  84, 106, 111,  82, 104, 109,  83, 105, 110,  81, 103, 108,  80, 103, 105,  79, 101, 103,  78, 100, 104,  79, 101, 106,  78, 100, 106,  73,  96, 102,  71,  94, 100,
    69,  92,  98,  70,  89,  96,  66,  85,  92,  61,  81,  88,  54,  76,  82,  53,  75,  81,  55,  75,  81,  55,  74,  81,  54,  73,  80,  54,  73,  80,  54,  73,  80,  53,  72,  79,  55,  75,  81,  61,  81,  87,  64,  84,  89,  64,  83,  89,  60,  79,  85,  54,  73,  80,  51,  70,  77,  49,  68,  75,  54,  72,  79,
    57,  74,  81,  55,  73,  80,  51,  70,  77,  52,  69,  75,  44,  61,  68,  42,  58,  66,  39,  57,  65,  37,  54,  61,  35,  52,  59,  33,  51,  57,  31,  47,  53,  31,  47,  53,  35,  48,  54,  58,  70,  77,  53,  66,  72,  32,  46,  53,  33,  48,  55,  33,  49,  56,  31,  48,  55,  30,  47,  54,  32,  48,  55,
    34,  50,  57,  36,  52,  58,  39,  55,  62,  44,  60,  67,  46,  62,  69,  46,  62,  69,  44,  62,  69,  49,  66,  73,  54,  71,  78,  59,  75,  83,  59,  71,  81, 107, 119, 123,  57,  71,  77,  56,  71,  77,  54,  70,  77,  56,  73,  80,  43,  53,  63, 120, 132, 138,  57,  67,  77,  49,  59,  68, 130, 142, 148,
    60,  72,  79,  60,  73,  80,  59,  73,  77,  57,  72,  75,  60,  75,  77,  59,  74,  76,  60,  75,  78,  60,  76,  79,  59,  76,  79,  59,  75,  78,  62,  77,  80,  58,  75,  78,  60,  77,  80,  60,  76,  82,  59,  75,  80,  61,  78,  80,  66,  81,  84,  73,  88,  90,  72,  87,  89,  73,  88,  90,  74,  87,  89,
    73,  85,  88,  70,  83,  85,  72,  84,  85, 129, 137, 143, 103, 115, 118,  83,  97,  98,  99, 112, 114,  84,  99, 101,  85, 100, 102,  89, 104, 106,  90, 105, 107,  90, 105, 107,  88, 103, 105,  90, 105, 107,  90, 105, 107,  92, 107, 109,  97, 111, 112, 100, 114, 114, 105, 120, 120, 109, 124, 123, 107, 123, 123,
   106, 123, 123, 105, 123, 121, 104, 122, 121, 115, 130, 129, 120, 134, 133, 120, 134, 132, 119, 135, 132, 117, 134, 131, 114, 131, 128, 118, 135, 133, 125, 139, 138, 126, 141, 140, 124, 139, 138, 126, 140, 139, 166, 176, 174, 156, 165, 170, 172, 185, 183, 140, 154, 150, 144, 157, 155, 149, 162, 160, 149, 164, 159,
   151, 165, 161, 151, 165, 161, 155, 169, 165, 160, 174, 170, 168, 179, 176, 169, 180, 177, 168, 179, 176, 168, 179, 176, 170, 181, 179, 170, 181, 178, 168, 179, 176, 167, 182, 178, 170, 184, 180, 175, 185, 183, 177, 188, 185, 175, 188, 184, 173, 186, 182, 173, 187, 183, 172, 186, 182, 177, 190, 185, 185, 196, 192,
   185, 196, 193, 187, 198, 195, 190, 200, 197, 194, 204, 201, 198, 207, 204, 202, 211, 208, 208, 216, 213, 213, 220, 217, 213, 220, 217, 213, 221, 217, 214, 221, 218, 215, 222, 219, 216, 223, 220, 218, 224, 221, 219, 224, 222, 219, 224, 222, 219, 224, 222, 218, 223, 221, 216, 224, 220, 215, 222, 219, 215, 222, 219,
   182, 201, 206, 181, 200, 205, 178, 198, 203, 176, 195, 201, 175, 196, 201, 175, 195, 200, 177, 196, 201, 176, 195, 200, 176, 195, 200, 176, 196, 201, 177, 195, 201, 177, 196, 200, 180, 196, 203, 183, 199, 204, 185, 201, 204, 189, 204, 207, 190, 205, 208, 190, 205, 208, 187, 203, 206, 183, 200, 203, 181, 197, 203,
   177, 195, 200, 171, 191, 196, 168, 187, 194, 169, 187, 194, 168, 186, 193, 168, 186, 193, 165, 184, 191, 164, 183, 190, 161, 183, 189, 160, 181, 188, 161, 183, 189, 160, 181, 189, 159, 181, 189, 155, 178, 188, 153, 177, 187, 148, 174, 184, 149, 173, 184, 147, 172, 183, 143, 168, 180, 138, 164, 178, 133, 159, 173,
   132, 159, 173, 134, 160, 173, 136, 160, 175, 128, 154, 168, 120, 147, 161, 111, 139, 154, 102, 132, 147,  99, 130, 145, 103, 132, 147, 105, 134, 149, 103, 131, 146,  97, 125, 140,  93, 122, 137,  99, 126, 141,  99, 125, 141,  96, 122, 138, 107, 133, 147, 106, 131, 147,  98, 124, 138,  95, 122, 136,  91, 118, 132,
    91, 118, 132,  92, 118, 132,  91, 117, 131,  89, 115, 129,  86, 112, 125,  86, 112, 124,  84, 110, 122,  88, 113, 125,  90, 114, 126,  90, 114, 127,  90, 116, 128,  90, 115, 127,  93, 117, 129,  96, 120, 131,  93, 117, 128,  91, 115, 126,  93, 118, 127,  96, 120, 127,  92, 116, 124,  94, 118, 125,  93, 117, 124,
    98, 121, 128, 110, 133, 139, 113, 135, 140,  98, 123, 128,  92, 117, 121,  94, 119, 125, 104, 129, 134, 135, 156, 161, 101, 125, 131, 100, 125, 129, 101, 125, 129, 102, 125, 130,  99, 124, 128,  95, 120, 124,  95, 119, 124,  93, 118, 122,  92, 117, 121,  93, 116, 121,  95, 117, 122,  96, 118, 123,  95, 117, 121,
    92, 116, 120,  91, 116, 119,  87, 112, 116,  87, 112, 116,  88, 111, 116,  88, 110, 115,  88, 110, 115,  90, 112, 117,  89, 111, 116,  85, 107, 112,  85, 106, 111,  82, 103, 108,  82, 104, 109,  81, 104, 107,  78, 101, 103,  79, 100, 102,  81, 101, 106,  79, 101, 106,  78, 100, 104,  74,  96, 102,  69,  92,  98,
    68,  91,  97,  70,  89,  96,  66,  86,  92,  64,  82,  89,  57,  79,  85,  52,  74,  80,  54,  75,  81,  58,  77,  84,  57,  76,  83,  54,  73,  80,  49,  69,  76,  52,  72,  78,  57,  76,  82,  63,  83,  88,  64,  84,  89,  65,  84,  89,  61,  80,  85,  54,  73,  81,  52,  71,  78,  52,  71,  78,  56,  74,  81,
    60,  78,  84,  56,  74,  82,  54,  72,  79,  49,  68,  74,  44,  62,  69,  42,  60,  67,  40,  58,  65,  38,  56,  63,  37,  55,  62,  31,  49,  55,  31,  48,  54,  33,  48,  54,  35,  49,  55,  87,  98, 104,  21,  35,  42,  30,  45,  51,  29,  44,  50,  29,  45,  51,  30,  46,  52,  28,  44,  50,  31,  47,  54,
    32,  48,  54,  35,  51,  57,  39,  55,  62,  42,  58,  65,  43,  59,  66,  43,  60,  67,  44,  62,  69,  49,  67,  74,  56,  72,  79,  59,  75,  82,  65,  78,  86, 104, 112, 118,  54,  68,  74,  55,  71,  78,  55,  71,  78,  58,  74,  81,  55,  68,  78, 121, 132, 138,  53,  64,  73,  56,  66,  75, 124, 135, 142,
    52,  63,  70,  59,  70,  76,  59,  71,  77,  55,  70,  74,  55,  70,  72,  57,  72,  75,  57,  72,  75,  58,  73,  76,  58,  72,  76,  58,  72,  77,  56,  72,  78,  55,  72,  77,  56,  72,  79,  56,  72,  78,  56,  72,  78,  55,  73,  75,  61,  76,  79,  65,  80,  83,  66,  81,  83,  67,  81,  83,  67,  80,  82,
    68,  82,  81,  67,  81,  80,  67,  80,  81,  77,  84,  89, 155, 167, 171,  78,  91,  93,  93, 107, 109,  80,  95,  97,  84,  99, 101,  86, 100, 102,  87, 102, 104,  91, 105, 107,  89, 103, 105,  88, 103, 105,  89, 104, 106,  91, 106, 108,  93, 107, 109,  99, 112, 114, 103, 117, 117, 105, 120, 119, 107, 122, 123,
   105, 123, 122, 102, 120, 119, 104, 122, 121, 112, 128, 127, 112, 129, 127, 114, 131, 130, 115, 132, 129, 116, 133, 130, 113, 130, 127, 115, 130, 129, 123, 137, 135, 126, 140, 139, 123, 137, 136, 125, 139, 138, 118, 131, 130, 179, 186, 187, 174, 187, 186, 141, 152, 149, 142, 154, 151, 145, 158, 155, 147, 161, 157,
   147, 161, 157, 149, 163, 159, 151, 166, 162, 156, 170, 166, 163, 176, 172, 166, 177, 174, 166, 177, 174, 166, 177, 173, 166, 178, 172, 169, 181, 175, 167, 178, 175, 165, 176, 173, 166, 180, 176, 171, 183, 179, 174, 185, 182, 174, 185, 182, 172, 185, 182, 171, 185, 181, 171, 185, 181, 171, 185, 181, 179, 189, 186,
   184, 195, 191, 183, 194, 191, 185, 197, 193, 188, 199, 196, 192, 202, 199, 194, 204, 201, 200, 209, 206, 206, 213, 210, 208, 215, 211, 210, 217, 214, 211, 218, 215, 212, 219, 216, 213, 220, 217, 214, 221, 218, 214, 221, 218, 214, 221, 218, 214, 222, 218, 213, 220, 217, 213, 220, 217, 212, 219, 216, 211, 218, 215,
   184, 201, 207, 180, 200, 205, 179, 198, 203, 176, 196, 201, 178, 197, 202, 179, 198, 203, 179, 198, 203, 177, 196, 201, 178, 197, 202, 179, 196, 202, 181, 197, 203, 181, 198, 202, 182, 199, 203, 186, 201, 204, 188, 203, 206, 190, 205, 208, 191, 206, 209, 190, 205, 208, 189, 204, 207, 184, 201, 204, 182, 198, 203,
   177, 195, 200, 171, 191, 196, 170, 189, 194, 169, 188, 194, 170, 188, 195, 169, 187, 194, 165, 184, 191, 163, 182, 189, 160, 182, 188, 161, 182, 188, 163, 182, 189, 160, 181, 189, 157, 180, 187, 155, 177, 188, 152, 176, 187, 150, 175, 184, 151, 173, 184, 147, 170, 182, 142, 166, 180, 136, 163, 177, 131, 158, 172,
   131, 158, 172, 132, 159, 172, 130, 157, 171, 125, 152, 166, 116, 145, 159, 106, 136, 150, 101, 132, 147, 102, 132, 147, 106, 135, 150, 104, 133, 148, 100, 129, 143,  95, 124, 138,  96, 125, 140, 104, 130, 147, 100, 126, 142,  99, 124, 141, 108, 133, 149, 103, 129, 145,  95, 121, 137,  95, 122, 136,  92, 119, 133,
    93, 120, 134,  91, 117, 131,  90, 117, 130,  88, 114, 128,  87, 113, 126,  86, 112, 124,  86, 112, 124,  89, 114, 126,  91, 116, 126,  88, 114, 124,  89, 114, 126,  90, 115, 127,  94, 118, 130,  95, 119, 131,  93, 118, 128,  92, 117, 127,  96, 120, 129,  98, 121, 129,  95, 118, 126,  92, 117, 123,  92, 117, 123,
    98, 121, 127, 108, 130, 135, 114, 134, 139,  99, 123, 128,  93, 117, 122,  97, 121, 127, 106, 131, 136, 133, 155, 160, 103, 127, 133, 102, 125, 130, 100, 124, 129, 101, 123, 128,  97, 122, 126,  96, 121, 125,  94, 119, 123,  91, 115, 119,  93, 115, 120,  95, 117, 122,  96, 118, 123,  95, 117, 122,  94, 116, 121,
    93, 115, 120,  88, 113, 117,  90, 114, 119,  88, 114, 118,  86, 111, 115,  87, 109, 114,  88, 110, 115,  89, 111, 116,  86, 108, 113,  86, 108, 113,  85, 105, 110,  84, 105, 110,  82, 103, 108,  79, 101, 106,  78, 100, 103,  82, 102, 105,  82, 102, 107,  79, 101, 106,  78, 100, 105,  74,  96, 102,  72,  94, 100,
    70,  93,  99,  71,  90,  97,  64,  84,  91,  62,  84,  90,  57,  79,  85,  55,  77,  82,  55,  76,  83,  57,  76,  82,  55,  74,  81,  52,  72,  78,  50,  70,  77,  52,  73,  78,  56,  76,  81,  61,  81,  86,  66,  86,  91,  64,  84,  89,  60,  80,  85,  56,  75,  82,  54,  73,  80,  54,  73,  79,  60,  78,  83,
    61,  80,  85,  58,  76,  83,  54,  72,  79,  51,  69,  76,  47,  66,  72,  42,  60,  67,  39,  57,  64,  40,  58,  65,  35,  53,  60,  32,  50,  57,  30,  47,  54,  34,  48,  54,  24,  38,  44,  96, 107, 113,  29,  44,  50,  28,  43,  49,  27,  43,  49,  27,  43,  49,  27,  43,  49,  30,  45,  51,  30,  46,  53,
    33,  49,  55,  35,  51,  58,  39,  55,  62,  41,  57,  64,  45,  61,  68,  44,  60,  67,  46,  63,  70,  54,  70,  76,  56,  72,  79,  61,  76,  82,  63,  77,  85, 103, 111, 116,  55,  68,  76,  54,  70,  77,  58,  74,  81,  62,  76,  84,  62,  75,  85, 117, 126, 134,  41,  52,  60,  57,  68,  76, 118, 132, 137,
    52,  62,  70,  61,  71,  79,  56,  66,  74,  52,  67,  72,  51,  67,  70,  54,  70,  75,  57,  72,  75,  58,  73,  76,  57,  72,  76,  57,  71,  77,  55,  69,  75,  55,  70,  76,  56,  71,  77,  56,  71,  77,  56,  71,  77,  53,  71,  73,  58,  73,  76,  57,  72,  75,  59,  74,  77,  62,  76,  80,  62,  75,  78,
    60,  73,  74,  61,  74,  76,  62,  75,  76,  62,  73,  79, 162, 175, 173,  86,  97, 101,  73,  86,  89,  78,  92,  94,  79,  93,  95,  84,  97,  99,  85,  98, 100,  87, 100, 102,  87, 100, 102,  86, 100, 102,  85, 100, 102,  85, 100, 102,  95, 108, 110,  97, 110, 112, 101, 114, 116, 101, 115, 115,  99, 115, 116,
    99, 116, 115,  98, 116, 115, 101, 117, 116, 108, 124, 123, 112, 128, 127, 113, 129, 128, 111, 128, 126, 111, 128, 125, 109, 126, 123, 112, 128, 126, 119, 134, 133, 123, 138, 137, 122, 136, 135, 123, 137, 136, 123, 137, 136, 126, 139, 138, 178, 187, 186, 168, 180, 176, 140, 151, 149, 143, 157, 154, 143, 158, 154,
   144, 158, 154, 145, 160, 156, 150, 164, 160, 154, 168, 164, 158, 170, 167, 164, 175, 172, 165, 176, 173, 163, 174, 170, 164, 176, 170, 166, 178, 171, 165, 176, 173, 165, 177, 173, 163, 176, 173, 167, 179, 175, 168, 179, 176, 170, 181, 178, 170, 181, 179, 168, 182, 178, 169, 183, 179, 169, 183, 179, 172, 185, 181,
   181, 192, 189, 181, 192, 189, 178, 192, 188, 182, 194, 191, 185, 196, 193, 187, 198, 195, 189, 200, 197, 195, 204, 201, 201, 209, 206, 202, 210, 207, 205, 212, 209, 206, 213, 210, 208, 216, 213, 210, 217, 214, 210, 217, 214, 210, 217, 214, 209, 216, 213, 210, 216, 213, 209, 216, 213, 208, 214, 212, 207, 215, 212,
   183, 201, 206, 181, 200, 205, 180, 198, 204, 179, 198, 203, 179, 198, 203, 180, 199, 204, 179, 198, 203, 181, 198, 204, 182, 198, 204, 183, 199, 205, 186, 202, 204, 184, 201, 204, 186, 202, 207, 187, 203, 206, 189, 204, 207, 191, 206, 209, 191, 206, 209, 190, 205, 208, 189, 204, 207, 185, 201, 204, 182, 198, 203,
   176, 194, 199, 173, 191, 196, 170, 189, 195, 169, 189, 193, 170, 188, 195, 168, 186, 193, 166, 185, 192, 162, 182, 189, 158, 181, 187, 162, 181, 188, 163, 182, 189, 163, 181, 189, 161, 182, 190, 155, 178, 189, 154, 176, 187, 150, 174, 184, 148, 171, 182, 147, 170, 182, 142, 166, 178, 135, 161, 175, 129, 156, 170,
   130, 157, 171, 129, 156, 170, 129, 154, 169, 120, 150, 163, 114, 144, 157, 107, 139, 152, 103, 133, 148, 104, 134, 148, 107, 135, 150, 103, 132, 147,  99, 128, 142,  95, 124, 138, 101, 128, 144, 107, 133, 149, 103, 129, 146, 110, 136, 153, 112, 137, 153, 101, 126, 142,  98, 123, 140,  94, 121, 135,  92, 119, 133,
    92, 119, 133,  93, 119, 133,  91, 117, 131,  89, 115, 129,  85, 112, 126,  86, 113, 127,  87, 113, 125,  86, 112, 124,  86, 112, 123,  89, 114, 123,  88, 112, 124,  91, 115, 127,  94, 118, 130,  94, 118, 130,  95, 119, 130,  92, 118, 127,  98, 121, 131,  99, 122, 130,  95, 119, 126,  93, 117, 122,  93, 117, 123,
   101, 123, 129, 108, 130, 135, 113, 133, 138, 102, 124, 129,  96, 119, 124,  99, 121, 127, 116, 138, 144, 128, 149, 154, 105, 128, 134, 100, 124, 130, 100, 125, 130,  97, 122, 126,  94, 119, 123,  91, 116, 120,  91, 116, 120,  92, 116, 121,  92, 115, 120,  96, 118, 123,  95, 117, 122,  96, 118, 123,  93, 115, 120,
    93, 115, 120,  92, 114, 118,  91, 113, 118,  88, 112, 117,  88, 111, 116,  88, 110, 115,  89, 111, 116,  91, 113, 118,  88, 110, 115,  90, 110, 115,  86, 106, 111,  85, 105, 110,  80, 102, 107,  80, 102, 107,  80, 102, 107,  80, 101, 106,  82, 103, 108,  80, 102, 107,  78, 100, 107,  74,  96, 102,  72,  94, 100,
    72,  93,  99,  69,  90,  96,  64,  85,  92,  60,  82,  88,  58,  79,  86,  56,  77,  84,  60,  79,  86,  55,  76,  82,  55,  74,  81,  53,  72,  79,  50,  72,  78,  54,  73,  80,  57,  77,  82,  63,  83,  88,  64,  85,  90,  66,  85,  90,  60,  80,  85,  57,  76,  83,  55,  75,  81,  57,  76,  81,  60,  79,  84,
    62,  81,  86,  61,  79,  86,  57,  75,  82,  54,  72,  79,  48,  66,  73,  45,  63,  69,  42,  60,  67,  41,  59,  66,  37,  55,  62,  36,  53,  60,  35,  50,  58,  36,  50,  57,  64,  76,  83,  47,  60,  66,  29,  44,  51,  28,  44,  50,  28,  44,  50,  28,  44,  50,  27,  43,  49,  28,  44,  50,  30,  46,  52,
    33,  49,  56,  35,  51,  58,  40,  56,  62,  43,  59,  66,  43,  59,  66,  45,  61,  68,  50,  66,  72,  54,  70,  76,  55,  71,  77,  61,  76,  82,  64,  78,  84, 101, 110, 115,  54,  67,  75,  56,  71,  78,  59,  75,  82,  61,  77,  84,  62,  75,  85, 113, 123, 130,  57,  68,  77,  57,  68,  77, 114, 126, 130,
    64,  74,  83,  61,  70,  80,  57,  68,  76,  46,  62,  69,  50,  66,  72,  52,  68,  74,  54,  70,  76,  56,  72,  75,  56,  71,  77,  57,  71,  77,  56,  70,  76,  55,  70,  76,  55,  70,  76,  56,  70,  76,  55,  71,  76,  54,  71,  74,  52,  69,  72,  54,  70,  73,  56,  71,  75,  56,  71,  75,  56,  72,  74,
    56,  71,  73,  55,  70,  72,  57,  70,  72,  63,  74,  78, 150, 161, 160,  76,  88,  91,  66,  81,  84,  70,  85,  87,  73,  88,  90,  77,  91,  93,  82,  95,  97,  83,  96,  98,  82,  95,  97,  85,  97,  99,  79,  94,  96,  78,  93,  95,  90, 103, 105,  94, 107, 109,  95, 108, 110, 100, 114, 112,  98, 113, 113,
    97, 113, 112,  95, 113, 112,  98, 113, 112, 103, 119, 118, 106, 123, 122, 108, 124, 123, 109, 125, 124, 110, 126, 125, 107, 124, 122, 113, 129, 128, 113, 129, 129, 118, 134, 133, 119, 134, 133, 118, 134, 133, 115, 131, 130, 111, 127, 126, 158, 169, 169, 181, 194, 191, 135, 148, 147, 142, 156, 154, 142, 156, 152,
   141, 156, 152, 141, 156, 151, 149, 163, 159, 153, 167, 164, 155, 168, 165, 159, 171, 168, 159, 172, 168, 160, 172, 168, 158, 172, 166, 160, 173, 168, 161, 174, 170, 159, 173, 169, 160, 174, 170, 163, 176, 172, 163, 176, 172, 167, 178, 175, 164, 178, 174, 164, 178, 174, 163, 177, 173, 165, 179, 175, 169, 183, 179,
   175, 186, 183, 180, 191, 188, 173, 187, 183, 174, 189, 185, 178, 191, 188, 182, 192, 189, 182, 193, 190, 186, 197, 194, 191, 200, 197, 192, 201, 198, 195, 204, 201, 197, 206, 203, 200, 209, 206, 202, 211, 208, 205, 213, 210, 204, 212, 209, 201, 211, 208, 201, 210, 207, 202, 210, 208, 200, 208, 207, 201, 210, 208,
   183, 202, 207, 181, 200, 205, 181, 200, 205, 181, 200, 205, 181, 200, 205, 180, 200, 205, 182, 199, 205, 184, 201, 206, 185, 201, 207, 186, 202, 208, 189, 204, 207, 189, 205, 208, 189, 203, 208, 190, 205, 208, 190, 205, 208, 191, 206, 209, 191, 205, 208, 191, 205, 209, 188, 203, 206, 187, 202, 205, 183, 198, 203,
   176, 194, 200, 171, 190, 195, 171, 190, 195, 169, 189, 194, 169, 187, 194, 166, 185, 192, 163, 183, 189, 160, 181, 187, 158, 180, 186, 162, 182, 189, 164, 183, 190, 164, 183, 191, 161, 182, 190, 159, 179, 189, 154, 175, 187, 148, 173, 183, 148, 171, 181, 144, 167, 179, 141, 164, 177, 133, 159, 173, 129, 156, 170,
   127, 155, 169, 126, 153, 167, 123, 151, 165, 118, 147, 161, 114, 144, 157, 107, 138, 151, 103, 134, 149, 107, 135, 150, 107, 133, 149, 102, 131, 146,  99, 127, 141,  99, 126, 140, 103, 130, 146, 109, 135, 152, 107, 133, 150, 113, 137, 155, 111, 135, 153, 100, 126, 142,  97, 123, 139,  91, 120, 134,  91, 118, 133,
    92, 119, 133,  91, 118, 132,  89, 115, 129,  87, 114, 128,  85, 112, 126,  83, 110, 124,  85, 112, 124,  86, 112, 124,  88, 113, 125,  89, 113, 125,  89, 113, 125,  92, 116, 128,  93, 117, 129,  93, 117, 129,  94, 119, 129,  95, 118, 129,  99, 122, 130,  99, 122, 130,  94, 118, 125,  89, 113, 119,  93, 118, 123,
   101, 123, 129, 111, 132, 137, 116, 135, 141, 102, 124, 130,  97, 120, 126,  99, 122, 128, 121, 142, 148, 125, 145, 152,  98, 122, 128,  98, 122, 128,  96, 120, 126,  95, 120, 125,  92, 117, 121,  90, 116, 119,  91, 115, 120,  89, 115, 118,  94, 116, 121,  95, 117, 122,  96, 118, 123,  93, 117, 121,  92, 116, 121,
    92, 114, 119,  92, 114, 119,  89, 111, 116,  87, 112, 116,  87, 111, 114,  90, 112, 116,  90, 112, 116,  91, 111, 116,  90, 110, 115,  86, 108, 113,  83, 106, 111,  83, 105, 110,  80, 102, 107,  80, 102, 107,  79, 101, 106,  80, 102, 107,  79, 101, 106,  80, 102, 108,  77,  99, 105,  76,  98, 104,  72,  94, 100,
    70,  92,  98,  67,  89,  95,  64,  86,  92,  61,  83,  89,  58,  80,  87,  57,  79,  86,  60,  79,  86,  53,  75,  81,  53,  73,  80,  53,  74,  80,  51,  73,  79,  52,  74,  80,  58,  78,  84,  61,  81,  86,  68,  87,  92,  64,  84,  90,  61,  80,  86,  59,  78,  85,  59,  78,  85,  59,  79,  84,  62,  81,  85,
    63,  82,  87,  61,  80,  86,  57,  75,  82,  55,  73,  80,  51,  69,  76,  47,  65,  72,  44,  62,  69,  41,  59,  66,  38,  56,  64,  37,  54,  61,  35,  51,  58,  35,  50,  58,  82,  94, 101,  25,  39,  47,  25,  41,  47,  29,  46,  52,  30,  46,  52,  30,  46,  52,  29,  45,  51,  29,  45,  52,  29,  45,  52,
    33,  49,  56,  35,  51,  58,  40,  56,  62,  41,  57,  64,  44,  60,  66,  48,  64,  70,  50,  66,  72,  55,  71,  77,  56,  72,  78,  58,  74,  80,  58,  72,  79, 107, 119, 123,  54,  67,  75,  57,  72,  81,  60,  75,  84,  63,  79,  86,  62,  76,  87,  74,  85,  95,  99, 109, 116,  60,  70,  79,  90, 100, 108,
    85,  97, 104,  60,  70,  79,  57,  70,  78,  51,  66,  73,  49,  65,  72,  49,  66,  72,  51,  68,  74,  53,  69,  75,  57,  71,  77,  56,  70,  76,  56,  70,  76,  53,  70,  76,  52,  68,  74,  56,  70,  76,  55,  71,  75,  50,  66,  72,  50,  67,  70,  54,  68,  73,  53,  68,  72,  55,  69,  74,  53,  67,  72,
    51,  66,  69,  52,  67,  70,  56,  70,  73,  56,  69,  73, 127, 138, 138,  98, 111, 113,  57,  72,  76,  64,  79,  82,  69,  84,  86,  72,  87,  89,  73,  88,  90,  75,  91,  93,  76,  91,  94,  76,  91,  93,  77,  91,  93,  76,  90,  92,  82,  96,  98,  90, 103, 105,  92, 105, 107,  94, 107, 109,  93, 108, 107,
    89, 106, 106,  91, 110, 110,  93, 109, 107,  98, 114, 113, 101, 116, 119, 102, 117, 118, 103, 118, 120, 105, 120, 121, 107, 122, 123, 108, 124, 125, 111, 128, 128, 112, 127, 129, 112, 128, 127, 114, 130, 129, 109, 125, 124, 108, 124, 123, 101, 115, 114, 191, 203, 201, 163, 176, 173, 139, 153, 149, 140, 153, 150,
   137, 150, 148, 136, 150, 148, 146, 159, 157, 150, 164, 161, 152, 165, 163, 155, 167, 165, 155, 169, 165, 154, 168, 165, 155, 169, 165, 153, 168, 164, 151, 167, 163, 154, 169, 165, 154, 168, 165, 156, 170, 167, 158, 171, 169, 160, 174, 170, 158, 172, 168, 157, 171, 167, 157, 172, 168, 160, 175, 171, 165, 179, 175,
   169, 183, 179, 178, 190, 186, 167, 181, 177, 166, 182, 178, 171, 185, 182, 173, 186, 183, 174, 187, 185, 177, 190, 188, 180, 193, 190, 182, 195, 192, 183, 195, 192, 185, 197, 193, 188, 199, 196, 193, 203, 200, 198, 207, 204, 197, 206, 203, 197, 206, 203, 192, 203, 200, 194, 204, 202, 194, 204, 203, 194, 204, 202,
   183, 202, 207, 183, 201, 206, 184, 201, 206, 184, 201, 207, 186, 202, 208, 184, 200, 206, 186, 202, 206, 187, 203, 209, 188, 204, 210, 190, 205, 209, 190, 205, 208, 191, 206, 209, 190, 205, 208, 190, 205, 208, 190, 205, 208, 191, 206, 209, 191, 206, 209, 189, 204, 207, 190, 203, 207, 186, 200, 205, 183, 198, 204,
   177, 195, 200, 173, 191, 196, 169, 188, 194, 169, 187, 194, 168, 187, 193, 166, 185, 192, 164, 182, 190, 159, 181, 187, 161, 182, 188, 163, 182, 189, 164, 183, 190, 166, 184, 192, 163, 182, 191, 159, 179, 190, 152, 175, 186, 150, 173, 183, 145, 169, 179, 144, 167, 178, 138, 162, 174, 132, 159, 171, 127, 154, 168,
   126, 154, 167, 123, 151, 165, 119, 148, 162, 117, 146, 160, 115, 143, 157, 112, 141, 155, 109, 138, 152, 107, 137, 151, 107, 135, 150, 103, 131, 146, 100, 129, 143, 100, 127, 142, 106, 131, 147, 111, 136, 153, 111, 136, 154, 115, 140, 156, 110, 135, 152, 100, 126, 142,  97, 123, 139,  95, 120, 136,  92, 117, 133,
    92, 119, 134,  91, 117, 132,  90, 117, 132,  89, 115, 130,  87, 113, 130,  87, 114, 128,  88, 114, 128,  87, 113, 128,  87, 113, 127,  91, 116, 128,  89, 114, 126,  92, 116, 128,  94, 118, 129,  95, 120, 131,  93, 118, 128,  94, 119, 128, 101, 123, 131, 100, 123, 131,  91, 114, 121,  88, 112, 118,  93, 117, 123,
   106, 127, 134, 112, 131, 138, 115, 135, 140, 102, 124, 130,  96, 121, 127, 100, 123, 129, 122, 143, 148, 117, 137, 143,  99, 123, 129,  96, 120, 126,  95, 119, 125,  93, 118, 123,  91, 116, 121,  90, 115, 119,  88, 113, 118,  90, 115, 119,  95, 117, 122,  95, 117, 122,  96, 118, 123,  94, 118, 123,  93, 116, 121,
    92, 114, 119,  91, 113, 118,  91, 113, 118,  87, 111, 114,  88, 111, 113,  89, 112, 114,  90, 113, 114,  92, 113, 116,  89, 110, 113,  86, 108, 113,  84, 106, 111,  83, 105, 110,  81, 103, 108,  80, 102, 108,  80, 102, 107,  80, 102, 108,  83, 103, 109,  80, 102, 108,  78, 100, 106,  74,  96, 101,  73,  95, 101,
    69,  90,  96,  65,  88,  94,  64,  87,  93,  62,  84,  90,  59,  80,  88,  59,  79,  88,  56,  78,  85,  54,  76,  82,  50,  72,  78,  54,  74,  81,  51,  74,  80,  53,  75,  81,  59,  78,  85,  63,  83,  89,  68,  87,  92,  66,  86,  91,  60,  80,  87,  61,  80,  87,  61,  80,  87,  62,  81,  88,  64,  83,  90,
    64,  83,  88,  63,  82,  87,  62,  80,  88,  57,  75,  82,  51,  69,  76,  47,  65,  72,  46,  64,  71,  43,  61,  68,  42,  60,  67,  37,  55,  64,  39,  54,  62,  29,  42,  50,  72,  86,  92,  27,  41,  49,  25,  41,  47,  28,  44,  50,  30,  46,  52,  31,  47,  53,  30,  46,  53,  32,  48,  54,  31,  47,  54,
    31,  49,  54,  36,  54,  59,  39,  56,  63,  42,  59,  66,  47,  63,  69,  48,  64,  70,  52,  68,  74,  56,  70,  76,  56,  70,  76,  57,  71,  77,  51,  66,  71, 112, 124, 128,  52,  67,  74,  59,  74,  82,  63,  78,  86,  66,  81,  88,  64,  78,  86,  44,  57,  66, 125, 137, 144,  62,  73,  83,  75,  89,  97,
   101, 114, 117,  58,  69,  78,  58,  71,  79,  49,  66,  73,  48,  65,  72,  46,  65,  70,  48,  66,  73,  52,  68,  75,  55,  71,  77,  59,  71,  79,  53,  69,  76,  54,  70,  76,  55,  71,  77,  58,  72,  78,  55,  70,  76,  50,  67,  72,  48,  66,  68,  51,  66,  72,  51,  66,  71,  50,  66,  71,  46,  64,  66,
    44,  61,  65,  45,  61,  66,  51,  65,  71,  86,  98, 103,  67,  75,  80, 134, 148, 147,  56,  69,  74,  60,  75,  78,  64,  79,  82,  66,  81,  84,  67,  83,  85,  68,  84,  87,  72,  87,  90,  72,  87,  90,  72,  87,  89,  72,  87,  89,  76,  91,  93,  81,  96,  98,  83,  97,  99,  86, 100, 102,  86, 101, 103,
    83,  99, 101,  85, 102, 104,  85, 103, 105,  93, 109, 108,  96, 112, 111,  97, 112, 114, 100, 115, 117,  97, 113, 115, 100, 118, 119, 102, 120, 121, 108, 123, 125, 107, 124, 125, 107, 123, 122, 106, 122, 121, 108, 124, 123, 105, 122, 121, 103, 120, 119, 126, 139, 138, 198, 210, 207, 135, 146, 149, 136, 149, 149,
   135, 149, 148, 133, 148, 146, 142, 156, 154, 147, 161, 158, 148, 162, 159, 151, 164, 162, 152, 166, 163, 151, 164, 163, 150, 163, 161, 147, 162, 160, 146, 163, 160, 146, 163, 160, 150, 165, 162, 151, 165, 163, 152, 166, 164, 153, 167, 165, 153, 168, 166, 152, 166, 164, 149, 164, 161, 153, 166, 164, 158, 172, 170,
   162, 176, 174, 169, 182, 180, 171, 184, 182, 162, 176, 174, 164, 180, 177, 166, 181, 179, 165, 179, 178, 166, 180, 179, 169, 183, 182, 170, 184, 182, 173, 187, 184, 175, 188, 186, 178, 191, 188, 181, 194, 191, 186, 197, 194, 189, 200, 197, 189, 201, 198, 187, 198, 196, 186, 197, 195, 185, 197, 195, 186, 197, 195,
   184, 202, 207, 185, 201, 207, 184, 201, 207, 184, 202, 208, 186, 201, 208, 187, 204, 207, 188, 205, 208, 190, 205, 210, 191, 206, 210, 192, 207, 210, 192, 207, 210, 192, 207, 210, 191, 206, 209, 190, 205, 208, 189, 204, 207, 190, 205, 208, 191, 204, 208, 191, 205, 209, 189, 202, 206, 187, 202, 206, 182, 197, 203,
   176, 194, 199, 172, 191, 196, 171, 190, 196, 168, 187, 194, 167, 186, 193, 166, 184, 192, 163, 183, 190, 160, 182, 188, 161, 183, 189, 164, 183, 190, 167, 185, 192, 168, 186, 194, 165, 184, 193, 159, 179, 188, 151, 173, 184, 148, 171, 182, 141, 166, 176, 139, 163, 175, 135, 160, 172, 129, 156, 168, 128, 155, 168,
   124, 152, 165, 122, 150, 164, 119, 148, 162, 120, 148, 162, 116, 145, 159, 115, 144, 159, 113, 141, 156, 111, 140, 155, 108, 136, 152, 103, 131, 147,  98, 128, 142, 100, 128, 143, 110, 135, 151, 112, 137, 154, 116, 141, 158, 116, 141, 158, 108, 133, 151, 101, 127, 143,  96, 123, 139,  91, 119, 135,  92, 118, 133,
    92, 119, 133,  91, 118, 133,  89, 115, 131,  89, 115, 131,  89, 114, 131,  89, 115, 129,  89, 115, 129,  88, 114, 128,  89, 115, 129,  89, 115, 127,  91, 116, 127,  92, 116, 128,  94, 118, 129,  94, 119, 129,  94, 119, 129,  94, 119, 128, 100, 123, 131,  95, 118, 126,  90, 113, 120,  87, 112, 118,  94, 117, 123,
   110, 130, 137, 111, 130, 137, 114, 134, 140, 100, 123, 129,  98, 122, 128, 100, 123, 129, 119, 141, 146, 106, 129, 135,  98, 122, 128,  95, 119, 125,  92, 116, 122,  91, 115, 121,  92, 116, 122,  91, 115, 121,  91, 115, 121,  91, 115, 120,  97, 119, 124,  96, 118, 123,  96, 118, 123,  94, 117, 122,  92, 116, 121,
    92, 115, 120,  91, 114, 119,  87, 111, 115,  87, 110, 113,  90, 113, 115,  92, 115, 117,  92, 114, 116,  93, 114, 117,  90, 111, 114,  85, 108, 113,  84, 106, 111,  82, 104, 109,  80, 102, 107,  80, 102, 108,  79, 101, 107,  83, 103, 108,  81, 103, 109,  81, 103, 109,  78,  99, 106,  74,  96, 101,  73,  95, 101,
    71,  92,  98,  65,  89,  95,  60,  84,  90,  61,  84,  90,  57,  80,  86,  58,  80,  86,  55,  76,  83,  52,  74,  80,  53,  74,  80,  54,  75,  81,  53,  75,  81,  54,  76,  82,  60,  79,  86,  64,  83,  91,  68,  87,  92,  65,  85,  90,  60,  79,  86,  61,  81,  87,  62,  81,  88,  64,  83,  90,  67,  86,  93,
    66,  84,  91,  63,  81,  88,  61,  81,  85,  58,  74,  81,  52,  71,  76,  51,  69,  74,  46,  64,  71,  44,  62,  69,  42,  60,  69,  41,  57,  65,  41,  53,  62,  69,  82,  89,  27,  39,  48,  25,  39,  45,  25,  41,  47,  30,  46,  52,  34,  49,  55,  29,  45,  52,  30,  46,  52,  32,  48,  54,  32,  48,  55,
    32,  49,  54,  35,  53,  58,  38,  55,  62,  43,  60,  67,  48,  64,  70,  50,  66,  72,  55,  69,  74,  55,  69,  74,  56,  70,  76,  56,  70,  77,  45,  59,  66, 119, 131, 135,  55,  70,  77,  59,  74,  82,  64,  80,  86,  66,  81,  87,  66,  80,  88,  51,  62,  71, 129, 136, 146,  64,  75,  84,  65,  78,  86,
   115, 127, 128,  61,  75,  83,  57,  73,  80,  49,  67,  73,  47,  66,  71,  45,  64,  69,  46,  65,  70,  50,  67,  73,  56,  71,  77,  55,  71,  78,  53,  69,  77,  53,  69,  75,  55,  71,  77,  56,  71,  77,  53,  69,  75,  49,  65,  71,  46,  63,  67,  48,  64,  68,  46,  62,  66,  46,  63,  66,  43,  60,  63,
    43,  59,  64,  47,  63,  69,  54,  68,  74,  63,  75,  82,  49,  58,  65, 156, 167, 167,  51,  64,  71,  58,  73,  77,  57,  74,  77,  62,  79,  82,  63,  80,  83,  64,  80,  85,  68,  84,  88,  68,  83,  86,  69,  85,  88,  71,  85,  89,  71,  86,  88,  74,  89,  91,  77,  92,  94,  82,  97,  99,  77,  92,  94,
    77,  95,  96,  77,  95,  96,  79,  97,  98,  83, 101, 100,  89, 105, 104,  92, 107, 108,  92, 110, 111,  91, 109, 110,  93, 111, 112,  95, 113, 114,  98, 116, 117,  99, 117, 118, 102, 119, 118,  98, 116, 115,  98, 115, 115,  99, 117, 116,  99, 117, 118,  93, 110, 110, 179, 192, 189, 154, 163, 165, 135, 147, 147,
   132, 146, 145, 130, 145, 144, 131, 147, 146, 136, 152, 149, 140, 156, 152, 148, 161, 160, 147, 161, 159, 147, 161, 159, 140, 156, 154, 141, 157, 155, 139, 156, 155, 138, 157, 155, 142, 159, 158, 141, 158, 158, 141, 158, 157, 144, 160, 159, 144, 159, 159, 142, 158, 157, 143, 159, 158, 143, 160, 158, 149, 164, 163,
   157, 171, 170, 160, 174, 172, 167, 181, 179, 157, 174, 171, 154, 170, 168, 154, 171, 170, 156, 173, 172, 156, 173, 172, 159, 175, 174, 159, 177, 175, 161, 177, 175, 162, 179, 177, 165, 180, 179, 170, 185, 183, 174, 187, 185, 178, 191, 189, 178, 192, 190, 179, 193, 191, 178, 191, 190, 178, 192, 190, 177, 191, 190,
   184, 202, 208, 184, 204, 209, 186, 202, 208, 187, 203, 210, 188, 205, 208, 190, 206, 209, 191, 206, 209, 192, 207, 210, 192, 207, 210, 193, 208, 211, 192, 206, 210, 190, 205, 208, 189, 204, 207, 190, 205, 208, 190, 204, 208, 192, 205, 209, 193, 205, 209, 192, 204, 208, 188, 203, 206, 185, 200, 203, 182, 197, 203,
   177, 194, 199, 173, 192, 197, 170, 189, 196, 169, 187, 194, 167, 186, 193, 164, 185, 191, 162, 183, 190, 161, 183, 189, 162, 182, 190, 164, 183, 191, 168, 185, 194, 169, 185, 194, 164, 183, 191, 157, 178, 186, 151, 172, 182, 144, 169, 179, 139, 164, 176, 136, 162, 174, 131, 158, 169, 129, 157, 168, 127, 154, 167,
   123, 151, 165, 120, 148, 162, 121, 149, 163, 122, 148, 164, 120, 148, 163, 118, 145, 160, 115, 142, 158, 110, 139, 155, 109, 137, 153, 102, 131, 148, 101, 128, 146, 102, 130, 145, 110, 136, 152, 113, 138, 155, 116, 141, 158, 113, 139, 156, 109, 135, 151,  98, 124, 140,  97, 123, 139,  93, 120, 135,  92, 119, 134,
    92, 119, 133,  89, 116, 131,  89, 115, 131,  89, 115, 131,  89, 114, 130,  90, 116, 129,  89, 115, 128,  89, 115, 127,  88, 114, 126,  90, 116, 128,  93, 117, 129,  92, 117, 128,  95, 120, 130,  95, 120, 130,  92, 117, 127,  97, 120, 128,  96, 120, 128,  93, 116, 125,  88, 112, 120,  88, 112, 118,  99, 122, 128,
   109, 130, 134, 111, 130, 136, 113, 134, 139, 100, 123, 128, 101, 124, 130, 102, 124, 129, 101, 124, 130, 101, 124, 130,  95, 119, 125,  94, 118, 124,  91, 115, 121,  87, 112, 118,  88, 114, 120,  90, 114, 120,  92, 116, 122,  92, 116, 122,  96, 119, 124,  95, 119, 124,  96, 118, 124,  96, 118, 123,  94, 116, 121,
    92, 114, 119,  90, 112, 118,  89, 111, 116,  88, 110, 114,  90, 113, 115,  91, 114, 116,  93, 114, 116,  91, 111, 116,  86, 108, 113,  85, 107, 112,  83, 105, 110,  81, 104, 109,  81, 103, 108,  80, 102, 107,  80, 102, 107,  83, 103, 109,  81, 103, 109,  80, 102, 108,  76,  99, 105,  71,  96, 101,  70,  94, 100,
    68,  91,  97,  65,  89,  95,  66,  88,  95,  63,  86,  92,  59,  82,  88,  56,  78,  84,  54,  76,  82,  53,  75,  81,  55,  76,  82,  54,  76,  82,  55,  75,  82,  56,  77,  83,  60,  79,  86,  66,  85,  92,  67,  86,  91,  64,  84,  89,  62,  81,  88,  62,  81,  88,  64,  83,  90,  66,  85,  92,  69,  88,  95,
    69,  87,  94,  64,  83,  89,  61,  79,  85,  58,  76,  81,  55,  72,  77,  50,  68,  73,  48,  66,  73,  46,  63,  70,  42,  60,  68,  43,  58,  67,  34,  48,  56,  64,  75,  83,  26,  39,  46,  24,  38,  44,  26,  40,  46,  30,  46,  52,  29,  45,  51,  33,  47,  53,  32,  48,  54,  32,  47,  55,  30,  47,  54,
    31,  49,  55,  31,  49,  56,  36,  55,  60,  43,  60,  66,  49,  65,  71,  54,  68,  75,  53,  68,  70,  54,  69,  72,  54,  67,  73,  55,  69,  75,  41,  55,  64, 104, 115, 122,  57,  73,  79,  60,  76,  83,  64,  80,  86,  70,  85,  91,  67,  82,  88,  61,  74,  81, 130, 139, 143,  59,  69,  78,  63,  76,  83,
   114, 129, 130,  60,  76,  82,  58,  74,  81,  53,  72,  78,  46,  65,  70,  46,  65,  70,  44,  63,  68,  48,  68,  73,  52,  70,  75,  55,  71,  77,  54,  70,  76,  55,  71,  77,  56,  72,  78,  56,  71,  77,  53,  70,  75,  49,  66,  69,  45,  64,  67,  48,  65,  68,  47,  64,  67,  44,  61,  64,  43,  60,  64,
    45,  61,  66,  48,  64,  70,  53,  68,  74,  57,  70,  77,  53,  64,  72, 148, 162, 165,  54,  66,  73,  55,  70,  76,  58,  74,  79,  59,  76,  80,  57,  75,  80,  61,  78,  84,  64,  80,  85,  63,  79,  85,  63,  79,  84,  67,  84,  87,  69,  84,  87,  67,  83,  86,  68,  84,  87,  72,  87,  90,  70,  88,  90,
    69,  86,  89,  72,  90,  91,  72,  90,  91,  77,  95,  95,  81,  98,  97,  84, 100, 100,  86, 104, 105,  85, 103, 104,  87, 105, 106,  88, 106, 107,  93, 111, 112,  92, 110, 110,  92, 110, 110,  91, 109, 108,  91, 109, 109,  96, 114, 115,  95, 114, 115,  93, 111, 112,  99, 115, 115, 201, 212, 210, 131, 142, 143,
   131, 145, 144, 130, 146, 145, 128, 145, 144, 127, 144, 142, 129, 146, 143, 135, 150, 149, 144, 158, 156, 141, 156, 155, 136, 152, 151, 128, 147, 146, 128, 148, 147, 125, 146, 147, 128, 148, 150, 132, 151, 152, 129, 149, 148, 130, 150, 149, 132, 151, 150, 133, 151, 150, 131, 149, 149, 134, 152, 151, 140, 158, 157,
   146, 162, 161, 154, 168, 167, 157, 171, 169, 157, 172, 171, 146, 164, 163, 145, 164, 164, 145, 164, 165, 144, 163, 165, 145, 164, 165, 148, 167, 166, 150, 168, 169, 153, 171, 171, 157, 175, 174, 160, 177, 176, 163, 179, 178, 167, 184, 181, 169, 184, 183, 170, 185, 184, 172, 187, 186, 169, 185, 184, 173, 187, 186,
   185, 204, 209, 187, 203, 209, 188, 205, 208, 188, 205, 208, 189, 206, 209, 191, 207, 210, 192, 207, 210, 192, 207, 210, 193, 208, 211, 192, 207, 210, 192, 207, 210, 190, 205, 208, 189, 204, 207, 188, 203, 206, 191, 206, 208, 192, 203, 208, 193, 205, 209, 192, 204, 208, 188, 203, 206, 186, 201, 205, 183, 198, 204,
   178, 195, 200, 174, 192, 198, 171, 189, 196, 169, 188, 195, 167, 186, 193, 163, 183, 190, 162, 183, 190, 160, 181, 190, 162, 182, 190, 166, 185, 193, 168, 186, 194, 167, 184, 193, 163, 182, 190, 155, 175, 185, 146, 169, 179, 141, 166, 176, 135, 161, 173, 134, 160, 172, 131, 158, 170, 126, 154, 165, 126, 154, 166,
   124, 152, 165, 121, 149, 163, 124, 151, 165, 125, 152, 166, 125, 150, 165, 122, 149, 163, 118, 145, 160, 115, 143, 158, 110, 138, 155, 103, 132, 149, 101, 130, 147, 105, 132, 149, 113, 139, 155, 115, 140, 156, 117, 142, 158, 115, 141, 157, 103, 130, 146,  98, 124, 140,  96, 122, 138,  92, 118, 133,  92, 119, 133,
    90, 117, 131,  91, 118, 132,  90, 116, 131,  91, 116, 132,  91, 116, 132,  89, 116, 128,  89, 115, 127,  89, 116, 127,  89, 115, 127,  90, 115, 127,  93, 116, 128,  93, 117, 129,  94, 119, 129,  95, 120, 130,  92, 117, 127,  94, 118, 127,  96, 119, 128,  89, 114, 123,  89, 114, 122,  92, 115, 123, 101, 123, 129,
   110, 130, 136, 112, 132, 137, 112, 133, 138, 102, 124, 129, 101, 123, 128,  99, 123, 128,  98, 121, 127,  96, 120, 126,  93, 118, 124,  90, 116, 122,  90, 116, 122,  90, 116, 122,  90, 116, 122,  92, 116, 122,  95, 117, 123,  96, 118, 124,  97, 119, 125,  96, 119, 125,  93, 117, 123,  95, 117, 123,  93, 115, 120,
    92, 114, 120,  91, 113, 118,  88, 110, 115,  89, 112, 115,  90, 112, 117,  93, 114, 119,  90, 112, 117,  91, 111, 116,  87, 109, 114,  84, 106, 111,  84, 106, 111,  83, 104, 110,  81, 105, 109,  81, 103, 107,  80, 102, 107,  82, 104, 109,  81, 103, 108,  80, 102, 108,  77,  99, 104,  74,  97, 101,  74,  96, 102,
    70,  92,  98,  67,  89,  95,  64,  88,  94,  62,  85,  91,  60,  83,  89,  55,  77,  83,  54,  76,  82,  54,  76,  82,  53,  75,  81,  54,  75,  81,  57,  76,  83,  58,  77,  84,  63,  82,  89,  66,  84,  91,  68,  87,  92,  67,  86,  91,  62,  81,  88,  62,  81,  88,  64,  83,  90,  69,  88,  95,  71,  89,  96,
    71,  90,  96,  67,  86,  92,  61,  80,  86,  59,  77,  82,  56,  73,  79,  52,  70,  75,  52,  68,  75,  49,  66,  73,  46,  62,  69,  43,  59,  67,  47,  59,  67,  42,  56,  63,  23,  37,  44,  25,  38,  44,  27,  41,  47,  33,  47,  53,  32,  46,  52,  33,  47,  54,  32,  47,  54,  30,  46,  54,  31,  47,  54,
    30,  48,  53,  30,  48,  54,  39,  55,  61,  46,  61,  67,  51,  67,  73,  51,  65,  71,  51,  65,  71,  51,  65,  71,  52,  66,  72,  50,  64,  69,  37,  50,  57, 110, 128, 133,  58,  74,  81,  63,  80,  83,  66,  82,  88,  70,  85,  91,  70,  86,  89,  70,  84,  90, 120, 132, 137,  56,  69,  76,  57,  71,  78,
   125, 141, 146,  62,  78,  85,  58,  75,  82,  54,  72,  78,  49,  68,  73,  46,  65,  70,  48,  67,  72,  50,  69,  74,  56,  73,  79,  56,  72,  78,  56,  72,  78,  56,  72,  78,  57,  73,  79,  56,  72,  78,  52,  69,  75,  51,  68,  71,  45,  64,  67,  49,  66,  69,  48,  65,  68,  47,  64,  67,  47,  64,  68,
    48,  64,  70,  46,  62,  68,  48,  65,  72,  56,  71,  78,  54,  68,  76, 136, 149, 150,  60,  72,  79,  54,  70,  76,  57,  72,  79,  60,  76,  82,  58,  76,  82,  60,  77,  83,  63,  79,  85,  63,  79,  85,  62,  79,  83,  65,  82,  85,  66,  83,  86,  65,  82,  85,  62,  79,  82,  67,  85,  87,  67,  84,  87,
    67,  84,  87,  66,  84,  87,  70,  88,  89,  75,  93,  94,  76,  94,  94,  80,  98,  98,  80,  98,  99,  81, 100, 101,  80, 100, 101,  84, 103, 104,  86, 104, 105,  86, 104, 105,  88, 106, 106,  85, 103, 103,  89, 108, 109,  90, 109, 110,  92, 112, 113,  91, 109, 110,  94, 113, 112, 167, 179, 175, 140, 153, 151,
   126, 140, 139, 127, 141, 140, 121, 139, 138, 117, 135, 134, 119, 137, 137, 124, 141, 140, 132, 148, 146, 131, 147, 146, 125, 143, 142, 117, 137, 137, 114, 135, 136, 115, 137, 138, 118, 139, 140, 121, 141, 142, 122, 142, 143, 122, 143, 142, 121, 142, 142, 124, 145, 145, 123, 144, 144, 125, 146, 145, 131, 150, 149,
   133, 152, 152, 139, 157, 156, 147, 163, 162, 153, 169, 169, 145, 162, 161, 141, 159, 161, 138, 158, 159, 139, 160, 161, 136, 157, 158, 142, 162, 163, 144, 165, 166, 145, 165, 166, 148, 168, 169, 154, 172, 170, 158, 175, 174, 162, 178, 177, 164, 180, 179, 164, 181, 180, 166, 182, 181, 166, 182, 181, 166, 182, 181,
   187, 204, 209, 189, 205, 210, 188, 204, 209, 190, 207, 209, 192, 208, 211, 192, 207, 210, 192, 207, 210, 194, 208, 211, 196, 207, 211, 192, 208, 211, 191, 206, 209, 189, 204, 207, 189, 204, 207, 189, 204, 207, 191, 204, 207, 192, 205, 208, 193, 205, 209, 191, 205, 208, 189, 203, 206, 185, 200, 205, 183, 198, 204,
   178, 195, 200, 173, 191, 197, 173, 191, 198, 168, 187, 194, 168, 187, 194, 165, 184, 191, 161, 183, 191, 160, 181, 189, 162, 182, 190, 168, 185, 194, 168, 185, 194, 166, 184, 192, 160, 179, 187, 151, 173, 181, 146, 169, 179, 139, 164, 175, 134, 160, 172, 130, 159, 170, 129, 157, 168, 126, 154, 165, 126, 154, 165,
   124, 152, 164, 126, 153, 166, 129, 155, 169, 129, 154, 168, 128, 153, 167, 124, 150, 165, 122, 148, 163, 116, 144, 159, 111, 139, 156, 106, 135, 152, 104, 132, 149, 111, 137, 154, 117, 141, 158, 118, 143, 159, 118, 143, 159, 111, 137, 153, 102, 128, 144,  96, 122, 138,  92, 118, 134,  91, 117, 132,  92, 119, 133,
    90, 117, 131,  91, 118, 132,  89, 115, 130,  91, 116, 132,  90, 116, 130,  91, 117, 130,  90, 116, 128,  89, 115, 126,  89, 115, 127,  94, 118, 130,  94, 118, 130,  94, 119, 130,  93, 118, 129,  96, 119, 130,  96, 119, 130,  96, 118, 127,  96, 118, 128,  93, 117, 126,  90, 115, 124,  92, 117, 124, 105, 127, 134,
   107, 128, 133, 111, 132, 136, 115, 136, 141, 101, 123, 129, 101, 123, 129, 102, 123, 129,  97, 121, 127,  94, 118, 124,  91, 116, 122,  90, 116, 122,  89, 115, 121,  90, 116, 122,  93, 118, 124,  96, 119, 125,  96, 118, 124,  98, 120, 126,  98, 120, 126,  97, 119, 125,  96, 118, 124,  95, 117, 123,  93, 115, 121,
    90, 112, 118,  88, 110, 116,  88, 110, 115,  90, 112, 116,  93, 114, 119,  93, 113, 118,  90, 111, 116,  88, 110, 115,  87, 109, 114,  84, 106, 111,  83, 105, 110,  82, 105, 110,  80, 103, 108,  80, 102, 107,  81, 104, 108,  81, 103, 108,  81, 103, 108,  81, 103, 109,  77,  99, 104,  75,  97, 103,  74,  96, 102,
    72,  94, 100,  69,  91,  97,  67,  89,  95,  61,  84,  90,  59,  81,  87,  56,  78,  84,  55,  77,  83,  54,  76,  82,  56,  78,  84,  57,  76,  84,  57,  76,  83,  57,  76,  83,  61,  80,  87,  67,  85,  92,  68,  86,  93,  65,  84,  91,  62,  81,  88,  63,  82,  89,  66,  85,  92,  68,  88,  93,  71,  91,  95,
    71,  90,  96,  66,  84,  91,  60,  79,  86,  58,  77,  82,  56,  75,  80,  57,  72,  79,  52,  68,  75,  50,  66,  73,  48,  64,  71,  45,  60,  68,  57,  71,  77,  26,  38,  47,  25,  41,  47,  21,  38,  44,  28,  42,  49,  31,  44,  52,  33,  46,  53,  32,  47,  53,  32,  49,  55,  29,  45,  52,  27,  46,  52,
    31,  47,  53,  34,  50,  56,  39,  55,  63,  46,  62,  69,  49,  65,  72,  51,  68,  74,  51,  66,  72,  53,  67,  73,  51,  65,  71,  51,  64,  70,  41,  51,  57, 114, 131, 136,  62,  78,  84,  67,  83,  87,  67,  84,  86,  70,  87,  89,  68,  85,  89,  71,  86,  92, 125, 139, 142,  55,  69,  75,  54,  69,  75,
   128, 143, 148,  62,  80,  86,  61,  78,  85,  55,  73,  80,  53,  72,  78,  49,  68,  73,  49,  68,  73,  55,  73,  78,  56,  74,  79,  54,  74,  79,  53,  72,  77,  57,  74,  80,  57,  74,  80,  56,  73,  79,  52,  69,  74,  50,  68,  70,  49,  67,  70,  49,  66,  69,  51,  68,  71,  50,  67,  70,  49,  66,  69,
    50,  66,  70,  51,  67,  73,  54,  70,  76,  57,  73,  79,  58,  72,  78, 111, 124, 128,  96, 108, 113,  52,  67,  76,  57,  72,  81,  60,  76,  83,  61,  77,  84,  62,  78,  85,  63,  79,  85,  63,  79,  85,  60,  77,  81,  63,  80,  82,  67,  84,  87,  62,  79,  82,  64,  81,  84,  67,  84,  86,  66,  84,  85,
    66,  83,  86,  65,  82,  84,  67,  84,  86,  71,  89,  91,  76,  93,  95,  71,  91,  92,  76,  94,  95,  78,  97,  98,  79,  98,  99,  79,  99, 100,  82, 101, 102,  83, 101, 102,  84, 102, 103,  82, 101, 102,  80, 100, 101,  80, 100, 101,  86, 106, 107,  88, 108, 109,  89, 108, 109, 105, 119, 122, 186, 200, 197,
   117, 131, 131, 124, 138, 137, 119, 134, 134, 108, 127, 128, 107, 128, 128, 111, 131, 131, 117, 135, 136, 117, 135, 136, 115, 134, 135, 109, 130, 131, 103, 127, 127, 102, 125, 127, 104, 128, 128, 110, 133, 134, 114, 135, 137, 114, 136, 137, 114, 137, 137, 113, 136, 136, 117, 140, 140, 123, 144, 145, 123, 143, 144,
   128, 148, 149, 129, 150, 151, 135, 155, 156, 146, 164, 163, 148, 166, 166, 140, 159, 160, 139, 159, 161, 137, 157, 160, 133, 154, 156, 136, 157, 158, 139, 159, 160, 140, 160, 161, 145, 164, 165, 148, 168, 169, 154, 172, 173, 157, 174, 173, 160, 176, 175, 161, 177, 176, 164, 180, 179, 164, 180, 179, 163, 179, 178,
   188, 205, 209, 189, 205, 209, 189, 206, 209, 193, 208, 211, 193, 208, 211, 192, 207, 211, 193, 208, 211, 196, 209, 212, 196, 208, 212, 192, 207, 210, 190, 205, 208, 188, 203, 206, 189, 204, 207, 189, 204, 207, 192, 205, 208, 192, 205, 208, 193, 205, 209, 190, 204, 207, 189, 204, 207, 186, 201, 204, 181, 197, 203,
   179, 195, 201, 175, 193, 198, 173, 192, 198, 171, 189, 196, 168, 187, 194, 163, 185, 191, 162, 183, 190, 160, 181, 189, 164, 183, 191, 167, 185, 194, 168, 185, 194, 164, 181, 190, 157, 178, 186, 146, 169, 180, 140, 165, 175, 137, 163, 173, 133, 159, 171, 131, 158, 170, 128, 156, 167, 128, 156, 167, 127, 155, 166,
   129, 156, 168, 131, 157, 169, 134, 158, 171, 135, 158, 173, 131, 156, 170, 126, 152, 167, 126, 152, 166, 121, 147, 162, 114, 142, 157, 112, 139, 156, 110, 137, 154, 117, 142, 158, 118, 142, 159, 117, 142, 158, 117, 142, 158, 108, 133, 149,  98, 124, 140,  96, 121, 138,  92, 118, 134,  93, 119, 134,  91, 118, 132,
    92, 119, 133,  91, 118, 132,  92, 118, 132,  92, 118, 132,  92, 118, 132,  90, 116, 129,  88, 114, 126,  88, 114, 126,  93, 117, 129,  95, 119, 131,  93, 117, 129,  94, 118, 130,  94, 118, 130,  94, 117, 129,  95, 118, 129,  97, 118, 130,  95, 117, 127,  93, 116, 125,  93, 119, 127,  94, 119, 126, 108, 130, 136,
   107, 127, 133, 113, 133, 138, 113, 134, 139, 101, 123, 129, 102, 124, 130,  99, 121, 127,  95, 119, 125,  93, 117, 123,  91, 116, 121,  91, 117, 121,  90, 116, 120,  92, 116, 122,  94, 119, 125,  94, 118, 124,  98, 120, 126,  97, 119, 125,  97, 119, 125,  95, 117, 123,  96, 118, 124,  93, 115, 121,  91, 113, 118,
    89, 111, 116,  90, 112, 117,  89, 112, 115,  94, 115, 118,  94, 114, 119,  91, 111, 116,  89, 110, 116,  86, 108, 113,  86, 108, 113,  84, 106, 111,  83, 105, 110,  81, 105, 109,  81, 104, 108,  80, 102, 107,  79, 104, 108,  80, 102, 107,  81, 103, 109,  79, 101, 107,  77,  99, 105,  74,  97, 102,  74,  96, 102,
    73,  95, 101,  71,  92,  99,  66,  88,  94,  62,  84,  90,  58,  79,  86,  55,  76,  83,  54,  75,  81,  53,  75,  81,  57,  77,  83,  56,  75,  83,  58,  77,  84,  60,  79,  86,  63,  81,  88,  67,  85,  92,  69,  87,  94,  67,  85,  92,  63,  82,  89,  64,  83,  90,  67,  86,  93,  69,  89,  94,  72,  92,  96,
    73,  91,  97,  68,  86,  93,  64,  82,  87,  58,  77,  82,  58,  76,  82,  55,  71,  77,  55,  71,  78,  51,  67,  74,  51,  67,  74,  41,  57,  65,  58,  71,  79,  27,  43,  49,  26,  41,  47,  22,  38,  44,  27,  40,  48,  30,  43,  51,  31,  45,  52,  33,  48,  54,  30,  46,  53,  31,  47,  54,  27,  45,  52,
    32,  47,  54,  34,  50,  57,  39,  55,  62,  45,  61,  68,  47,  63,  69,  47,  63,  69,  52,  66,  72,  52,  66,  72,  52,  66,  72,  50,  63,  69,  50,  59,  63, 111, 124, 127,  64,  80,  87,  69,  85,  89,  67,  84,  87,  70,  87,  90,  69,  85,  90,  70,  86,  92, 116, 130, 131,  69,  84,  90,  55,  70,  77,
   127, 143, 150,  62,  80,  87,  59,  77,  84,  58,  76,  83,  54,  72,  79,  55,  73,  80,  53,  72,  77,  57,  75,  80,  59,  77,  83,  58,  77,  82,  55,  74,  79,  56,  76,  80,  54,  72,  78,  55,  73,  78,  54,  70,  76,  53,  69,  75,  51,  68,  71,  52,  69,  72,  55,  72,  75,  53,  70,  73,  54,  71,  74,
    53,  70,  73,  53,  70,  74,  53,  71,  74,  57,  74,  78,  59,  74,  79,  78,  92,  97, 128, 140, 143,  54,  68,  77,  58,  72,  81,  61,  76,  84,  65,  81,  88,  64,  80,  88,  62,  78,  84,  63,  79,  85,  62,  78,  82,  64,  81,  84,  66,  83,  86,  64,  81,  84,  65,  83,  85,  65,  83,  85,  65,  84,  85,
    66,  84,  87,  63,  83,  86,  67,  86,  89,  68,  88,  91,  72,  92,  93,  70,  90,  91,  70,  89,  92,  75,  95,  96,  78,  98,  99,  78,  98,  99,  80,  99, 100,  82, 100, 101,  84, 102, 103,  82, 100, 101,  77,  97,  98,  76,  96,  97,  85, 105, 106,  86, 106, 107,  86, 106, 107,  89, 106, 106, 173, 188, 186,
   131, 143, 145, 117, 131, 130, 115, 129, 128, 106, 124, 125, 100, 120, 121, 101, 121, 122, 103, 123, 124, 107, 127, 128, 107, 128, 129, 105, 125, 127,  96, 119, 121,  94, 117, 120,  96, 119, 121, 101, 123, 125, 108, 130, 132, 109, 130, 132, 109, 131, 134, 107, 131, 133, 107, 131, 134, 114, 136, 138, 117, 138, 140,
   121, 143, 144, 122, 144, 144, 124, 146, 147, 136, 156, 157, 147, 165, 166, 143, 162, 163, 140, 157, 160, 137, 156, 159, 134, 155, 157, 135, 155, 156, 136, 157, 158, 140, 160, 161, 141, 161, 162, 144, 164, 165, 151, 169, 170, 153, 171, 169, 158, 174, 173, 160, 176, 175, 163, 179, 178, 163, 179, 178, 162, 178, 177,
   188, 205, 208, 190, 206, 209, 193, 208, 211, 192, 207, 210, 193, 208, 211, 193, 208, 210, 195, 208, 212, 197, 209, 213, 195, 207, 211, 193, 206, 209, 189, 205, 208, 188, 203, 206, 189, 204, 207, 189, 204, 207, 192, 205, 209, 191, 204, 208, 191, 204, 208, 189, 205, 208, 188, 203, 206, 186, 201, 204, 183, 199, 201,
   178, 194, 199, 177, 194, 199, 172, 191, 197, 172, 190, 197, 168, 186, 193, 165, 184, 191, 162, 184, 189, 161, 182, 190, 163, 183, 191, 167, 186, 193, 166, 184, 191, 159, 179, 187, 151, 173, 183, 143, 167, 178, 136, 162, 173, 136, 162, 173, 131, 159, 170, 129, 157, 168, 128, 156, 167, 127, 155, 166, 131, 158, 169,
   131, 157, 169, 138, 162, 173, 138, 162, 174, 138, 161, 173, 134, 159, 171, 132, 157, 170, 126, 152, 166, 123, 149, 163, 119, 145, 161, 114, 140, 156, 112, 138, 154, 118, 143, 159, 117, 142, 158, 120, 144, 160, 113, 138, 154, 102, 128, 144,  96, 123, 138,  95, 122, 137,  92, 118, 134,  93, 119, 134,  92, 119, 133,
    92, 118, 132,  91, 117, 131,  91, 117, 131,  92, 118, 131,  93, 119, 132,  92, 118, 130,  90, 116, 128,  92, 117, 129,  93, 117, 129,  92, 117, 129,  94, 118, 130,  94, 118, 130,  94, 118, 130,  93, 116, 128,  94, 118, 128,  96, 118, 129,  95, 117, 128,  93, 116, 124,  93, 117, 125,  96, 120, 127, 107, 130, 137,
   107, 129, 135, 113, 134, 138, 113, 133, 138, 101, 123, 128, 100, 122, 128,  96, 118, 124,  94, 118, 124,  92, 116, 122,  92, 117, 120,  92, 117, 121,  92, 117, 121,  95, 117, 123,  95, 118, 124,  98, 119, 125,  98, 120, 126,  96, 118, 124,  97, 119, 123,  95, 117, 122,  95, 117, 122,  94, 116, 121,  90, 112, 116,
    89, 111, 116,  89, 111, 116,  90, 111, 115,  95, 115, 120,  92, 112, 118,  91, 111, 117,  88, 109, 115,  88, 110, 115,  86, 108, 113,  86, 108, 113,  83, 105, 110,  82, 104, 110,  78, 102, 107,  77, 102, 106,  81, 103, 108,  82, 104, 109,  80, 102, 108,  80, 102, 108,  79, 101, 107,  77,  99, 104,  75,  96, 101,
    75,  97, 102,  72,  93, 100,  66,  88,  95,  62,  83,  90,  57,  79,  87,  57,  79,  85,  54,  76,  82,  55,  75,  82,  58,  77,  85,  57,  76,  84,  59,  78,  85,  60,  79,  86,  62,  81,  88,  66,  85,  92,  67,  86,  93,  64,  83,  90,  63,  82,  89,  65,  83,  90,  68,  87,  94,  70,  89,  96,  75,  93, 100,
    72,  90,  97,  66,  85,  91,  60,  78,  84,  60,  77,  82,  60,  77,  79,  58,  75,  80,  55,  71,  77,  52,  68,  75,  53,  67,  75,  50,  65,  72,  45,  60,  67,  28,  44,  50,  24,  40,  46,  23,  38,  44,  23,  38,  45,  24,  39,  45,  31,  44,  51,  30,  47,  53,  30,  47,  54,  28,  46,  53,  30,  47,  54,
    33,  49,  56,  33,  49,  56,  38,  54,  61,  41,  57,  64,  43,  59,  65,  46,  61,  67,  50,  65,  71,  52,  67,  73,  46,  62,  68,  49,  63,  69,  72,  85,  91,  81,  94,  97,  64,  78,  85,  66,  83,  88,  70,  87,  90,  70,  87,  90,  72,  88,  94,  71,  87,  92,  98, 113, 119,  82,  96, 103,  57,  72,  79,
   129, 144, 148,  63,  81,  88,  62,  80,  87,  59,  77,  84,  56,  74,  81,  55,  74,  80,  55,  74,  79,  59,  77,  82,  60,  79,  84,  57,  76,  81,  57,  76,  81,  56,  75,  80,  55,  74,  79,  57,  74,  80,  52,  69,  75,  51,  68,  74,  52,  69,  73,  55,  72,  75,  56,  73,  76,  57,  74,  77,  57,  74,  77,
    55,  73,  76,  55,  72,  77,  57,  74,  77,  57,  73,  78,  63,  78,  81,  58,  71,  78, 148, 162, 163,  55,  67,  78,  61,  72,  82,  61,  77,  85,  63,  79,  86,  65,  81,  87,  63,  79,  85,  61,  78,  83,  62,  78,  84,  65,  83,  85,  67,  84,  87,  67,  84,  87,  67,  84,  87,  67,  84,  86,  65,  85,  86,
    64,  84,  86,  69,  86,  89,  68,  87,  90,  71,  89,  92,  71,  89,  92,  72,  91,  94,  73,  92,  94,  74,  93,  95,  77,  97,  98,  78,  97,  98,  81,  99, 100,  82, 100, 101,  86, 104, 104,  79,  99, 100,  76,  95,  98,  73,  93,  95,  80, 100, 103,  85, 104, 107,  87, 106, 108,  86, 106, 109, 114, 129, 129,
   187, 202, 198, 100, 115, 115, 108, 123, 122, 104, 121, 120,  93, 113, 114,  91, 112, 113,  93, 115, 116, 101, 121, 123, 105, 125, 126, 103, 124, 126,  97, 118, 121,  95, 117, 120,  92, 114, 119,  98, 120, 122, 106, 127, 129, 105, 126, 128, 104, 127, 129, 100, 125, 127, 103, 127, 129, 111, 133, 135, 113, 135, 137,
   113, 136, 138, 117, 139, 142, 121, 142, 143, 123, 145, 145, 139, 158, 159, 143, 162, 163, 141, 159, 161, 139, 159, 160, 134, 154, 155, 133, 154, 155, 137, 157, 158, 139, 159, 160, 140, 160, 161, 141, 162, 163, 145, 164, 165, 150, 168, 168, 155, 172, 171, 158, 174, 173, 162, 177, 176, 162, 177, 175, 165, 179, 177,
   189, 205, 208, 193, 208, 211, 192, 207, 210, 194, 209, 212, 193, 208, 211, 194, 209, 212, 197, 210, 212, 197, 209, 213, 195, 207, 211, 193, 205, 209, 190, 205, 207, 189, 204, 207, 189, 204, 207, 189, 204, 207, 189, 204, 207, 190, 205, 208, 190, 205, 208, 189, 204, 207, 187, 202, 205, 184, 200, 203, 180, 197, 201,
   180, 196, 202, 177, 193, 199, 175, 193, 198, 173, 191, 197, 168, 186, 193, 163, 184, 190, 161, 182, 189, 161, 182, 190, 163, 182, 190, 164, 183, 191, 163, 181, 190, 155, 177, 184, 144, 168, 178, 139, 165, 175, 137, 163, 174, 132, 159, 171, 131, 159, 170, 130, 158, 169, 130, 157, 169, 131, 158, 170, 133, 160, 170,
   140, 164, 174, 140, 163, 174, 141, 165, 175, 140, 163, 174, 135, 161, 172, 132, 158, 170, 128, 154, 169, 122, 149, 164, 121, 146, 162, 115, 141, 157, 113, 139, 155, 118, 142, 158, 121, 144, 159, 118, 142, 158, 109, 134, 150, 100, 127, 142,  95, 121, 137,  94, 120, 136,  94, 120, 136,  94, 121, 135,  95, 121, 135,
    94, 120, 134,  95, 121, 134,  94, 120, 133,  94, 120, 132,  96, 120, 132,  94, 118, 130,  92, 116, 128,  92, 116, 128,  94, 118, 130,  94, 118, 130,  94, 118, 130,  96, 120, 132,  94, 117, 129,  93, 117, 130,  93, 117, 127,  96, 118, 128,  97, 120, 129,  94, 117, 125,  95, 118, 126,  98, 121, 129, 111, 132, 138,
   108, 130, 136, 111, 132, 138, 111, 132, 138, 100, 122, 128,  99, 121, 127,  95, 117, 124,  94, 117, 122,  90, 115, 119,  91, 116, 120,  94, 118, 122,  94, 118, 123,  96, 118, 123, 100, 122, 128,  96, 118, 124,  98, 120, 125,  97, 119, 124,  96, 118, 123,  96, 118, 123,  94, 116, 121,  91, 113, 118,  90, 112, 117,
    89, 111, 116,  89, 111, 116,  92, 112, 117,  93, 113, 118,  93, 113, 118,  91, 110, 116,  88, 109, 114,  86, 109, 111,  86, 108, 112,  84, 106, 111,  83, 105, 110,  82, 104, 109,  78, 101, 106,  79, 102, 107,  82, 104, 109,  81, 103, 109,  82, 104, 110,  81, 103, 109,  79, 101, 107,  77,  99, 104,  76,  98, 103,
    75,  96, 102,  70,  91,  98,  64,  86,  92,  62,  83,  90,  58,  80,  87,  54,  77,  83,  54,  76,  82,  55,  76,  83,  57,  76,  83,  57,  76,  84,  60,  79,  85,  60,  79,  86,  61,  80,  87,  64,  83,  90,  65,  84,  91,  65,  84,  91,  62,  81,  88,  67,  85,  92,  71,  89,  96,  73,  91,  98,  75,  93, 100,
    73,  91,  98,  69,  87,  93,  63,  79,  85,  61,  78,  82,  61,  78,  81,  60,  76,  80,  56,  71,  78,  52,  67,  75,  53,  67,  75,  55,  69,  77,  39,  54,  61,  28,  44,  50,  25,  41,  47,  22,  37,  43,  24,  39,  45,  22,  37,  43,  26,  42,  48,  31,  48,  55,  28,  47,  54,  29,  46,  53,  30,  46,  53,
    31,  47,  54,  34,  50,  57,  36,  52,  59,  34,  50,  56,  38,  55,  59,  43,  59,  63,  46,  63,  67,  48,  64,  70,  47,  63,  69,  53,  67,  73,  97, 110, 116,  58,  72,  79,  65,  79,  85,  69,  84,  88,  70,  87,  90,  70,  87,  90,  73,  90,  96,  69,  86,  92,  81,  97, 107, 106, 117, 122,  59,  74,  82,
   127, 142, 148,  64,  82,  89,  63,  81,  87,  60,  78,  85,  60,  78,  84,  59,  78,  83,  58,  77,  82,  60,  78,  84,  62,  80,  86,  60,  79,  85,  57,  75,  81,  54,  73,  78,  53,  73,  78,  55,  73,  78,  53,  71,  76,  52,  69,  74,  55,  72,  75,  56,  74,  77,  60,  78,  81,  60,  77,  80,  57,  75,  78,
    59,  77,  80,  58,  76,  80,  60,  77,  80,  60,  76,  81,  62,  78,  82,  59,  72,  80, 152, 167, 169,  59,  70,  80,  61,  74,  82,  64,  78,  85,  64,  80,  86,  64,  80,  86,  62,  78,  84,  61,  77,  83,  62,  78,  84,  64,  81,  85,  69,  86,  89,  67,  84,  87,  66,  83,  86,  67,  84,  87,  68,  86,  89,
    67,  86,  89,  72,  90,  93,  72,  91,  94,  73,  92,  95,  75,  93,  96,  73,  93,  95,  75,  94,  97,  74,  93,  96,  76,  96,  97,  78,  97,  98,  82, 100, 101,  83, 101, 102,  85, 103, 104,  84, 102, 103,  79,  98, 101,  75,  95,  96,  78,  97, 100,  85, 104, 107,  86, 105, 108,  88, 107, 111,  85, 101, 105,
   167, 181, 179, 134, 147, 147, 102, 118, 117, 104, 120, 119,  94, 113, 114,  91, 112, 113,  90, 112, 112,  93, 115, 116, 102, 123, 124, 107, 128, 129, 101, 122, 125,  94, 117, 121,  95, 117, 122,  96, 118, 123, 101, 122, 126, 107, 128, 130, 102, 126, 128, 100, 124, 126, 101, 125, 126, 108, 131, 133, 111, 134, 136,
   112, 135, 137, 112, 135, 137, 114, 137, 139, 116, 140, 140, 128, 149, 150, 145, 163, 164, 140, 158, 159, 140, 158, 159, 136, 156, 157, 136, 155, 156, 137, 158, 159, 136, 157, 158, 138, 159, 160, 141, 161, 162, 142, 162, 163, 147, 166, 165, 150, 167, 167, 155, 171, 170, 157, 173, 172, 160, 176, 175, 162, 178, 175,
   191, 207, 210, 192, 207, 210, 192, 207, 210, 193, 208, 211, 194, 209, 212, 195, 209, 213, 197, 209, 212, 195, 207, 211, 194, 206, 210, 191, 205, 209, 190, 204, 209, 189, 203, 209, 189, 204, 207, 188, 203, 206, 187, 203, 206, 188, 204, 207, 189, 204, 207, 189, 204, 207, 187, 202, 205, 186, 202, 205, 182, 199, 202,
   180, 196, 202, 177, 193, 199, 176, 192, 198, 172, 191, 197, 168, 187, 194, 164, 184, 192, 161, 182, 190, 161, 181, 188, 164, 183, 191, 163, 182, 190, 156, 177, 185, 148, 170, 180, 138, 165, 175, 136, 162, 173, 133, 160, 171, 132, 160, 171, 132, 159, 170, 132, 159, 171, 133, 160, 172, 135, 161, 173, 138, 163, 173,
   139, 164, 174, 141, 165, 176, 144, 167, 177, 140, 165, 175, 136, 161, 172, 132, 158, 171, 133, 158, 172, 124, 150, 165, 124, 149, 165, 117, 143, 159, 116, 141, 157, 119, 144, 158, 124, 147, 161, 115, 139, 154, 106, 131, 146,  97, 123, 139,  97, 123, 139,  95, 121, 137,  96, 122, 138,  96, 121, 137,  93, 119, 133,
    94, 120, 134,  96, 122, 136,  94, 120, 134,  95, 120, 133,  94, 119, 131,  92, 116, 128,  92, 116, 128,  93, 117, 129,  94, 118, 130,  94, 118, 130,  95, 119, 131,  94, 118, 130,  95, 119, 131,  93, 118, 128,  90, 115, 123,  96, 119, 127,  94, 117, 125,  96, 120, 127,  96, 120, 127,  99, 123, 129, 112, 134, 140,
   108, 129, 135, 114, 135, 140, 111, 132, 138,  96, 118, 124,  95, 117, 123,  95, 117, 122,  93, 116, 121,  92, 115, 120,  94, 118, 122,  97, 118, 124,  99, 121, 126,  98, 120, 125,  97, 119, 125,  97, 119, 125,  96, 118, 123,  97, 119, 124,  96, 118, 123,  96, 118, 123,  95, 116, 121,  92, 114, 119,  89, 111, 116,
    89, 111, 116,  88, 110, 115,  92, 114, 119,  93, 112, 119,  92, 112, 118,  89, 111, 117,  86, 108, 113,  87, 109, 114,  86, 109, 114,  86, 108, 113,  84, 106, 111,  81, 103, 108,  79,  99, 104,  80, 100, 105,  82, 102, 108,  82, 103, 109,  81, 103, 109,  82, 104, 110,  79, 101, 107,  79, 101, 106,  75,  97, 103,
    74,  97, 103,  69,  90,  97,  65,  87,  93,  62,  84,  90,  57,  80,  86,  57,  78,  84,  54,  76,  82,  54,  76,  82,  60,  78,  85,  57,  78,  85,  59,  79,  87,  61,  80,  87,  60,  79,  86,  65,  84,  91,  66,  85,  92,  67,  86,  93,  65,  84,  91,  70,  89,  94,  69,  89,  94,  75,  93, 100,  73,  91,  98,
    71,  89,  96,  68,  86,  92,  65,  81,  87,  61,  78,  84,  61,  77,  81,  62,  76,  81,  57,  73,  80,  54,  69,  77,  54,  70,  77,  53,  68,  75,  37,  53,  60,  28,  44,  50,  25,  41,  47,  22,  37,  43,  21,  37,  43,  23,  38,  45,  27,  43,  50,  29,  45,  53,  30,  47,  54,  29,  46,  54,  28,  45,  52,
    32,  48,  55,  34,  49,  57,  35,  51,  57,  33,  50,  56,  38,  55,  61,  46,  62,  65,  48,  64,  68,  46,  62,  68,  48,  64,  71,  53,  67,  74, 110, 119, 123,  54,  68,  74,  66,  80,  86,  69,  84,  88,  70,  86,  92,  71,  87,  93,  72,  90,  95,  75,  91,  98,  66,  81,  88, 124, 137, 138,  64,  77,  85,
   125, 143, 149,  65,  84,  90,  63,  82,  88,  63,  82,  87,  61,  80,  86,  60,  80,  85,  62,  81,  86,  63,  80,  86,  65,  81,  87,  62,  80,  86,  59,  78,  83,  55,  74,  79,  56,  73,  78,  57,  75,  80,  57,  73,  79,  53,  71,  76,  56,  74,  76,  61,  79,  82,  64,  82,  85,  63,  80,  83,  58,  77,  80,
    58,  76,  79,  59,  78,  82,  63,  79,  85,  63,  79,  85,  66,  80,  86,  61,  75,  82, 154, 168, 168,  59,  71,  80,  63,  76,  84,  65,  78,  85,  65,  81,  87,  65,  81,  87,  60,  79,  84,  61,  78,  84,  64,  80,  86,  64,  82,  88,  62,  80,  85,  64,  82,  85,  70,  87,  90,  71,  88,  91,  67,  86,  89,
    71,  90,  93,  71,  90,  93,  73,  92,  95,  75,  94,  97,  74,  93,  96,  75,  94,  97,  76,  95,  98,  76,  95,  98,  76,  96,  97,  78,  97,  98,  82, 100, 101,  84, 102, 103,  85, 103, 104,  84, 102, 105,  81, 100, 103,  77,  96,  98,  81, 101, 102,  83, 102, 105,  88, 107, 110,  90, 109, 112,  90, 106, 109,
   135, 151, 152, 164, 176, 177,  94, 110, 109, 101, 118, 118,  97, 116, 117,  89, 111, 111,  88, 111, 111,  91, 115, 115,  99, 122, 122, 107, 129, 130, 105, 127, 129,  99, 122, 126,  95, 117, 121,  97, 120, 123, 100, 123, 125, 102, 125, 127, 105, 128, 130, 100, 125, 127, 100, 124, 126, 105, 128, 130, 110, 133, 135,
   109, 132, 134, 113, 135, 140, 114, 137, 139, 118, 141, 143, 123, 145, 145, 140, 159, 160, 140, 158, 159, 138, 156, 157, 136, 155, 156, 137, 157, 158, 136, 157, 158, 136, 157, 158, 137, 158, 159, 138, 158, 159, 141, 162, 161, 142, 163, 162, 148, 167, 166, 152, 169, 168, 154, 170, 169, 157, 173, 171, 160, 175, 173,
   192, 207, 210, 193, 208, 211, 193, 208, 211, 194, 209, 212, 195, 209, 213, 196, 208, 212, 195, 207, 210, 194, 207, 211, 192, 205, 209, 190, 204, 208, 189, 204, 209, 188, 202, 207, 187, 202, 205, 188, 203, 206, 186, 201, 205, 188, 203, 206, 189, 204, 207, 189, 204, 207, 187, 203, 207, 185, 201, 205, 183, 199, 205,
   180, 196, 202, 178, 194, 200, 177, 193, 199, 172, 190, 197, 166, 185, 192, 162, 182, 190, 159, 180, 188, 158, 179, 187, 162, 181, 189, 157, 178, 186, 150, 173, 182, 141, 167, 176, 135, 161, 173, 131, 159, 170, 133, 160, 171, 132, 160, 171, 132, 160, 171, 132, 160, 172, 135, 161, 174, 138, 163, 175, 140, 166, 175,
   142, 166, 177, 145, 169, 179, 142, 167, 177, 140, 166, 176, 138, 164, 174, 135, 160, 172, 132, 158, 172, 128, 154, 168, 122, 148, 164, 120, 146, 162, 116, 142, 158, 117, 143, 157, 124, 147, 162, 113, 137, 152, 103, 129, 143,  96, 122, 137,  95, 121, 137,  92, 119, 134,  95, 121, 137,  96, 122, 138,  97, 123, 137,
    97, 122, 136,  98, 121, 136,  95, 120, 134,  96, 119, 134,  94, 117, 132,  93, 116, 131,  93, 117, 129,  93, 117, 129,  92, 117, 128,  92, 116, 128,  93, 117, 129,  92, 117, 128,  93, 118, 128,  93, 116, 127,  91, 115, 122,  95, 119, 126,  99, 122, 128,  99, 123, 129,  96, 120, 126, 100, 124, 130, 109, 131, 137,
   106, 128, 134, 110, 132, 138, 107, 129, 135,  95, 117, 123,  96, 117, 123,  94, 116, 121,  92, 115, 121,  95, 118, 124,  98, 120, 126,  98, 120, 125,  98, 120, 125,  98, 120, 126,  96, 118, 123,  95, 117, 123,  97, 119, 124,  98, 119, 124,  93, 115, 120,  93, 115, 120,  91, 113, 118,  88, 110, 115,  88, 110, 115,
    87, 109, 114,  88, 110, 115,  89, 111, 117,  90, 112, 118,  90, 113, 118,  89, 110, 115,  86, 110, 114,  88, 111, 113,  86, 109, 114,  84, 107, 112,  83, 105, 110,  82, 104, 109,  77,  99, 104,  80, 100, 105,  81, 102, 107,  81, 103, 109,  80, 102, 108,  81, 103, 109,  81, 103, 109,  81, 101, 108,  80, 100, 106,
    75,  96, 103,  68,  90,  96,  64,  86,  92,  62,  84,  90,  60,  82,  88,  54,  76,  83,  55,  77,  83,  58,  79,  86,  59,  81,  87,  57,  79,  86,  59,  80,  88,  62,  81,  88,  60,  80,  87,  64,  83,  90,  68,  87,  94,  66,  85,  92,  66,  85,  92,  67,  87,  92,  69,  89,  94,  71,  89,  95,  72,  92,  96,
    72,  92,  96,  69,  87,  91,  61,  79,  84,  63,  79,  85,  64,  79,  86,  63,  77,  85,  58,  74,  81,  54,  68,  76,  54,  69,  76,  54,  68,  76,  36,  52,  59,  29,  45,  51,  24,  39,  45,  20,  36,  42,  23,  38,  44,  21,  38,  45,  24,  40,  48,  26,  44,  52,  29,  44,  53,  29,  46,  53,  27,  45,  52,
    30,  48,  55,  30,  48,  55,  29,  47,  54,  34,  51,  57,  39,  55,  61,  43,  60,  63,  44,  62,  65,  44,  61,  66,  50,  65,  73,  53,  68,  75, 103, 120, 127,  57,  70,  76,  65,  80,  86,  67,  83,  89,  70,  87,  92,  73,  89,  96,  75,  92,  98,  76,  92,  98,  60,  75,  80, 128, 142, 144,  71,  83,  92,
   125, 141, 146,  65,  84,  89,  66,  85,  91,  62,  81,  86,  63,  82,  87,  60,  80,  85,  58,  76,  83,  62,  80,  87,  64,  81,  87,  63,  79,  85,  59,  75,  81,  55,  73,  78,  52,  72,  75,  54,  72,  75,  59,  76,  79,  58,  75,  81,  57,  76,  81,  63,  80,  84,  67,  84,  87,  62,  79,  82,  61,  80,  83,
    60,  79,  82,  60,  80,  84,  63,  82,  86,  62,  78,  85,  67,  82,  89,  66,  78,  86, 151, 165, 164,  59,  72,  80,  64,  80,  87,  65,  81,  87,  65,  81,  87,  64,  80,  86,  63,  80,  85,  61,  80,  85,  67,  83,  89,  61,  79,  85,  61,  81,  86,  67,  84,  89,  74,  91,  94,  73,  90,  93,  70,  88,  91,
    71,  90,  93,  73,  92,  94,  73,  92,  95,  76,  95,  98,  77,  96,  99,  77,  97,  99,  79,  98, 101,  75,  94,  97,  75,  95,  96,  79,  98,  99,  84, 102, 103,  86, 104, 105,  86, 104, 105,  88, 105, 108,  83, 102, 106,  83, 103, 104,  81, 101, 102,  86, 106, 107,  83, 102, 105,  94, 112, 114,  92, 110, 113,
   102, 119, 122, 146, 162, 159, 145, 158, 157, 101, 118, 117,  98, 117, 118,  93, 113, 114,  90, 114, 114,  93, 117, 118,  96, 121, 121, 104, 128, 128, 105, 129, 129, 105, 127, 129, 101, 123, 126,  99, 122, 124, 103, 126, 128, 108, 131, 133, 103, 127, 129, 103, 128, 130, 102, 125, 127, 104, 127, 129, 108, 131, 133,
   111, 134, 136, 112, 134, 139, 113, 137, 139, 113, 137, 139, 123, 144, 145, 133, 152, 153, 140, 159, 160, 135, 155, 156, 135, 155, 156, 137, 157, 158, 137, 158, 159, 138, 158, 159, 138, 159, 159, 137, 158, 158, 138, 160, 158, 143, 164, 162, 144, 166, 164, 147, 166, 165, 152, 170, 169, 154, 171, 170, 159, 175, 174,
   194, 209, 212, 194, 208, 211, 194, 209, 212, 195, 210, 213, 195, 210, 213, 194, 209, 211, 192, 207, 210, 190, 205, 208, 190, 205, 208, 189, 203, 208, 189, 203, 209, 187, 201, 207, 187, 203, 206, 185, 202, 205, 187, 202, 205, 188, 203, 206, 188, 202, 207, 188, 202, 208, 188, 202, 208, 186, 201, 207, 182, 198, 204,
   181, 197, 203, 177, 193, 199, 175, 193, 198, 171, 189, 196, 165, 185, 191, 157, 179, 187, 159, 180, 188, 155, 177, 185, 159, 179, 187, 155, 177, 185, 143, 168, 178, 138, 165, 176, 132, 160, 172, 131, 158, 170, 135, 162, 173, 131, 159, 170, 134, 162, 173, 135, 162, 174, 139, 164, 176, 141, 165, 177, 144, 167, 179,
   144, 168, 179, 146, 169, 180, 142, 167, 178, 140, 165, 176, 138, 162, 174, 135, 160, 172, 131, 157, 172, 130, 156, 170, 124, 149, 165, 118, 144, 160, 114, 140, 156, 122, 146, 161, 118, 143, 158, 109, 134, 148, 101, 127, 142,  97, 123, 138,  95, 121, 137,  91, 118, 134,  97, 123, 139,  96, 122, 138,  96, 122, 136,
    99, 124, 138,  97, 122, 135,  98, 121, 136,  95, 118, 133,  92, 115, 130,  91, 115, 128,  90, 115, 127,  91, 115, 127,  91, 116, 127,  94, 118, 128,  93, 118, 128,  91, 116, 126,  93, 118, 128,  91, 116, 123,  95, 118, 126,  94, 118, 125, 103, 125, 131,  98, 121, 127,  98, 122, 128,  99, 122, 128, 109, 131, 137,
   102, 124, 130, 106, 128, 134, 106, 128, 133,  92, 115, 121,  91, 114, 120,  91, 115, 121,  93, 116, 122,  96, 118, 124,  99, 121, 127,  97, 119, 124,  99, 121, 126,  98, 120, 125,  98, 120, 126,  95, 117, 122,  95, 117, 122,  95, 117, 122,  94, 116, 121,  92, 115, 120,  89, 111, 116,  89, 111, 116,  87, 109, 114,
    87, 109, 114,  86, 109, 114,  91, 113, 118,  90, 112, 118,  89, 111, 117,  85, 108, 113,  86, 109, 113,  88, 111, 114,  85, 108, 113,  84, 107, 112,  83, 105, 110,  80, 103, 107,  79, 100, 105,  78,  99, 104,  80, 102, 107,  81, 103, 108,  80, 102, 108,  83, 104, 110,  81, 103, 109,  80, 102, 107,  75,  96, 103,
    75,  95, 103,  70,  91,  98,  66,  87,  94,  62,  84,  90,  60,  81,  87,  56,  79,  85,  57,  79,  85,  58,  79,  85,  60,  80,  87,  58,  80,  86,  59,  80,  87,  63,  82,  89,  61,  81,  87,  65,  84,  91,  64,  83,  90,  65,  84,  91,  66,  85,  92,  68,  88,  93,  70,  88,  94,  72,  91,  96,  72,  91,  96,
    71,  90,  93,  66,  85,  91,  62,  80,  85,  61,  78,  84,  63,  79,  86,  62,  78,  85,  60,  76,  83,  58,  74,  81,  51,  67,  75,  54,  69,  76,  36,  52,  59,  28,  44,  50,  22,  38,  44,  23,  40,  46,  21,  38,  44,  21,  39,  46,  21,  39,  46,  26,  43,  51,  27,  44,  50,  30,  46,  54,  31,  48,  56,
    30,  48,  54,  30,  48,  55,  29,  48,  55,  33,  51,  57,  39,  55,  61,  41,  58,  62,  44,  60,  66,  47,  63,  69,  49,  65,  72,  46,  61,  68, 108, 119, 125,  61,  75,  81,  65,  81,  87,  66,  82,  88,  70,  86,  92,  72,  88,  94,  76,  91,  97,  77,  93,  99,  64,  78,  84, 123, 139, 146,  74,  87,  96,
   117, 133, 135,  70,  88,  93,  67,  86,  91,  67,  86,  91,  59,  78,  85,  59,  80,  84,  61,  79,  86,  63,  80,  87,  66,  82,  89,  67,  83,  89,  60,  76,  82,  55,  72,  78,  52,  71,  75,  56,  75,  77,  56,  75,  79,  59,  75,  81,  60,  76,  82,  62,  79,  85,  65,  81,  86,  64,  81,  84,  65,  82,  85,
    61,  80,  83,  62,  81,  85,  64,  84,  88,  66,  83,  89,  69,  82,  90,  70,  83,  90, 137, 150, 155,  69,  82,  91,  64,  80,  87,  64,  80,  86,  64,  80,  86,  68,  84,  90,  63,  81,  86,  68,  85,  91,  62,  80,  86,  63,  82,  87,  65,  84,  90,  69,  88,  91,  73,  90,  94,  77,  94,  97,  75,  92,  95,
    74,  94,  96,  78,  97,  98,  78,  97, 100,  81, 100, 102,  80,  99, 102,  79,  98, 101,  79,  97, 100,  74,  94,  96,  76,  95,  97,  79,  98,  99,  82, 101, 102,  88, 106, 107,  90, 108, 111,  86, 104, 106,  85, 105, 106,  84, 104, 105,  86, 105, 106,  87, 107, 108,  90, 109, 111,  94, 113, 114,  95, 114, 117,
    93, 110, 114, 156, 172, 165, 139, 151, 153, 101, 117, 117, 102, 120, 121,  96, 118, 118,  93, 116, 118,  93, 118, 118,  98, 122, 122, 100, 124, 124, 109, 132, 132, 110, 132, 133, 104, 127, 129, 104, 127, 129, 102, 125, 128, 106, 129, 131, 108, 131, 133, 107, 130, 132, 105, 129, 130, 103, 127, 128, 109, 132, 134,
   112, 135, 138, 111, 135, 140, 115, 138, 141, 118, 141, 143, 119, 142, 143, 131, 151, 153, 146, 162, 164, 138, 156, 158, 138, 156, 158, 139, 159, 160, 138, 158, 159, 138, 159, 159, 140, 160, 160, 138, 160, 159, 140, 162, 160, 143, 164, 163, 144, 164, 163, 147, 166, 166, 153, 170, 170, 154, 171, 170, 158, 174, 173,
  };
 const char* CatPics::cat1Data = (const char*)temp_cat1_1;
 
 static const unsigned char temp_cat2_2[] = {
    94,  58,  40,  95,  59,  43,  97,  60,  44,  96,  61,  45,  88,  58,  44,  72,  52,  44,  51,  41,  38,  30,  30,  30,  17,  29,  30,  19,  46,  53,  33,  66,  77,  46,  86,  99,  59, 103, 118,  74, 117, 131,  80, 127, 145,  80, 127, 144,  77, 120, 139,  71, 116, 132,  68, 112, 129,  64, 107, 124,  58, 101, 116,
    50,  93, 107,  50,  92, 105,  49,  91, 104,  48,  89, 102,  48,  87, 101,  47,  86, 100,  45,  85,  99,  49,  85,  99,  48,  85,  99,  48,  84,  98,  48,  83,  96,  50,  86,  99,  53,  87, 100,  60,  91, 103,  68,  96, 107,  80, 105, 116,  88, 112, 121, 102, 120, 132, 110, 128, 138, 114, 131, 142, 116, 133, 144,
   109, 126, 137,  89, 105, 120,  87, 102, 116,  83,  96, 110,  88, 101, 115,  98, 113, 125,  92, 104, 118, 105, 117, 130, 112, 128, 139, 107, 123, 136, 103, 119, 134, 100, 116, 129, 128, 145, 156, 128, 144, 155, 143, 159, 171, 119, 135, 150, 129, 144, 159, 152, 169, 182, 151, 168, 181, 154, 171, 184, 150, 168, 178,
   138, 154, 164, 144, 158, 167,  53,  56,  62,  85,  90,  95,  56,  56,  56,  48,  46,  47,  59,  57,  58,  34,  24,  21,  28,  18,  10,  62,  55,  52,  62,  54,  53,  63,  55,  54,  60,  54,  54,  69,  66,  67,  86,  85,  86,  73,  70,  71,  56,  52,  53,  86,  87,  89,  89,  89,  90,  61,  60,  60,  48,  43,  44,
    88,  91,  95,  45,  42,  44,  57,  53,  55,  54,  49,  50,  74,  64,  63,  68,  49,  42,  87,  68,  60, 105,  91,  86, 100,  77,  67, 101,  76,  66, 105,  85,  78, 101,  79,  72,  96,  77,  69,  84,  65,  58,  76,  59,  50,  83,  72,  69,  84,  80,  82,  72,  74,  74,  30,  37,  36,  40,  50,  53,   3,  24,  26,
     6,  27,  28,   4,  28,  29,   1,  30,  30,   3,  31,  29,   2,  30,  29,   2,  30,  28,   3,  31,  31,   1,  29,  29,   2,  30,  27,   1,  29,  29,   4,  32,  29,   2,  30,  29,   1,  29,  29,   2,  29,  26,   2,  24,  21,   4,  27,  23,   2,  21,  18,   6,  23,  17,  16,  27,  21,  23,  27,  20,  31,  33,  22,
    39,  37,  26,  47,  43,  30,  54,  45,  34,  59,  50,  37,  61,  50,  37,  65,  53,  41,  68,  55,  43,  75,  59,  49,  78,  61,  53,  82,  64,  56,  83,  65,  56,  85,  66,  56,  90,  70,  59,  93,  70,  60,  93,  70,  58,  92,  68,  57,  91,  65,  56,  91,  65,  56,  94,  66,  57,  97,  68,  57, 103,  70,  59,
   106,  72,  59, 107,  73,  59, 111,  74,  60, 114,  78,  63, 119,  79,  63, 124,  81,  64, 128,  85,  67, 134,  86,  65, 137,  89,  69, 138,  90,  69, 140,  90,  69, 143,  93,  73, 144,  95,  75, 149,  99,  80, 151, 103,  82, 149, 102,  82, 152, 106,  88, 152, 111,  95, 152, 109,  94, 150, 109,  97, 145, 115, 109,
   135, 115, 114, 120, 122, 128, 121, 141, 159, 135, 163, 189, 138, 172, 201, 119, 150, 180, 116, 150, 183, 111, 142, 178, 105, 136, 171, 101, 133, 168, 102, 131, 165, 119, 132, 152, 129, 109, 114, 155,  99,  78, 166,  93,  50, 169,  90,  37, 170,  89,  28, 174,  88,  22, 172,  86,  18, 172,  86,  17, 172,  84,  16,
   174,  86,  15, 172,  86,  13, 171,  86,  14, 173,  85,  12, 173,  85,  10, 172,  85,  10, 170,  83,  14, 170,  83,  17, 172,  84,  17, 170,  81,  11, 172,  84,  14, 169,  81,  11, 168,  82,  12, 168,  82,  15, 167,  80,  15, 165,  80,  12, 165,  79,  13, 166,  81,  16, 163,  77,  13, 162,  77,  14, 161,  77,  16,
   156,  75,  17, 153,  73,  15, 152,  72,  11, 151,  72,  10, 148,  71,   9, 147,  69,  12, 147,  70,  12, 149,  69,  13, 145,  68,  12, 145,  67,  12, 144,  66,  12, 143,  66,  13, 143,  67,  14, 141,  65,  12, 138,  62,  12, 136,  61,  12, 136,  61,  13, 131,  58,  11, 130,  59,  12, 127,  58,  10, 124,  56,   8,
   124,  57,   8, 121,  54,   5, 121,  54,   5, 120,  54,   6, 119,  54,   6, 120,  54,   5, 120,  56,   8, 122,  57,   8, 125,  59,  11, 124,  58,   9, 123,  57,   8, 120,  57,   8, 117,  55,   8, 115,  54,   9,  97,  60,  42,  97,  61,  44,  97,  61,  44,  91,  60,  44,  77,  55,  45,  60,  47,  40,  40,  35,  34,
    17,  26,  27,  19,  40,  45,  27,  60,  70,  44,  81,  95,  57, 100, 113,  72, 116, 132,  82, 128, 146,  84, 133, 155,  82, 130, 150,  76, 122, 139,  74, 118, 134,  69, 113, 130,  61, 105, 121,  54,  97, 111,  50,  92, 107,  52,  95, 108,  53,  95, 108,  49,  89, 103,  49,  88, 102,  48,  87, 101,  48,  86, 100,
    50,  87, 101,  49,  86,  98,  49,  86,  99,  52,  87, 100,  53,  88, 101,  58,  92, 103,  67,  96, 107,  73, 100, 111,  82, 106, 119,  88, 108, 120,  96, 113, 125,  89, 106, 118,  93, 110, 122,  91, 105, 119, 101, 116, 128, 112, 128, 138, 109, 124, 138, 103, 119, 129, 128, 143, 154, 125, 141, 154, 122, 137, 149,
   115, 131, 144, 121, 137, 149, 116, 132, 144, 103, 118, 132,  69,  84, 100,  86, 101, 116, 136, 152, 165, 136, 151, 164, 147, 163, 176, 122, 138, 152, 144, 161, 173, 153, 169, 183, 148, 165, 178, 164, 182, 193, 150, 165, 176, 151, 168, 177,  87,  96, 101,  98, 107, 116,  75,  79,  81,  70,  74,  77,  69,  73,  76,
    65,  61,  62,  50,  45,  42,  94,  94,  95,  96,  96,  96, 126, 127, 130, 100,  99, 101, 114, 118, 122, 130, 137, 142, 121, 127, 134, 117, 120, 126, 134, 140, 145, 137, 145, 153, 105, 110, 115,  72,  70,  71, 105, 108, 114,  86,  89,  93,  55,  50,  52,  83,  80,  84,  86,  80,  83,  79,  67,  66, 104,  94,  91,
   124, 118, 117, 105,  87,  79, 104,  82,  74, 108,  89,  81, 105,  84,  77, 101,  84,  78,  98,  81,  75,  93,  79,  76, 100,  94,  95, 117, 120, 123,  91,  95,  98,  53,  59,  59,  61,  68,  70,   2,  24,  25,  15,  35,  37,   2,  25,  25,   2,  27,  27,   3,  30,  28,   1,  29,  26,   2,  30,  29,   9,  36,  33,
     2,  32,  28,   2,  31,  30,   4,  33,  32,   5,  34,  31,   3,  34,  32,   2,  32,  30,   4,  31,  27,   4,  28,  26,   7,  29,  27,   1,  20,  17,   1,  18,  14,   4,  19,  17,   9,  22,  16,  18,  25,  19,  24,  27,  20,  38,  37,  26,  42,  39,  28,  48,  42,  31,  50,  43,  32,  54,  46,  36,  61,  51,  40,
    63,  53,  43,  68,  58,  47,  74,  61,  52,  76,  62,  53,  80,  64,  55,  82,  65,  56,  82,  64,  56,  84,  65,  56,  83,  63,  54,  84,  62,  53,  84,  58,  53,  87,  60,  50,  89,  62,  52,  94,  64,  54,  95,  65,  54, 100,  68,  54, 103,  70,  55, 108,  73,  59, 115,  79,  64, 123,  82,  65, 129,  86,  68,
   133,  88,  69, 141,  92,  71, 143,  96,  74, 147,  97,  75, 150, 101,  79, 153, 105,  86, 153, 107,  89, 153, 108,  87, 151, 106,  90, 153, 112,  98, 150, 116, 103, 149, 116, 105, 144, 122, 120, 129, 122, 128, 114, 118, 131, 117, 139, 161, 136, 166, 192, 139, 171, 200, 127, 161, 192, 110, 144, 175, 104, 136, 170,
    98, 129, 164,  90, 118, 154,  85, 114, 148, 112, 126, 148, 135, 121, 128, 154, 105,  88, 165,  98,  62, 170,  94,  46, 172,  92,  37, 171,  89,  28, 174,  88,  23, 173,  88,  16, 174,  86,  14, 176,  88,  13, 174,  88,  11, 174,  85,   9, 176,  86,  10, 174,  84,   9, 175,  85,  10, 173,  86,   8, 174,  83,  11,
   172,  85,  16, 172,  81,  11, 170,  83,   9, 171,  82,  10, 169,  81,  10, 171,  82,  13, 169,  83,  16, 167,  80,  14, 170,  82,  14, 167,  81,  14, 165,  79,  14, 165,  79,  14, 162,  79,  21, 162,  78,  16, 157,  77,  19, 156,  75,  15, 155,  75,  11, 153,  74,  11, 153,  73,  11, 151,  71,  10, 153,  72,  13,
   151,  71,  12, 147,  66,  11, 147,  68,  11, 147,  70,  14, 145,  67,  14, 143,  66,  11, 141,  64,  11, 139,  64,  11, 138,  62,  11, 137,  61,  12, 136,  61,  13, 130,  59,  11, 128,  59,  10, 125,  58,   9, 124,  57,   8, 123,  56,   6, 123,  55,   6, 122,  55,   6, 120,  54,   5, 120,  53,   5, 122,  55,   6,
   124,  57,   9, 124,  58,   8, 124,  57,   8, 122,  56,   7, 122,  56,   8, 120,  55,   6, 116,  55,   8, 100,  61,  43,  98,  60,  43,  96,  61,  44,  86,  59,  46,  69,  51,  44,  49,  40,  35,  27,  28,  27,  16,  35,  38,  24,  52,  60,  38,  72,  84,  53,  94, 108,  69, 112, 129,  79, 128, 144,  85, 136, 156,
    87, 136, 157,  80, 130, 151,  80, 125, 142,  74, 118, 135,  68, 112, 129,  60, 104, 120,  54,  96, 111,  54,  97, 111,  54,  97, 110,  52,  94, 107,  51,  89, 103,  49,  88, 102,  48,  88, 102,  50,  87, 101,  48,  85, 100,  49,  86,  99,  52,  90, 101,  53,  87, 100,  55,  89, 102,  59,  92, 103,  62,  91, 102,
    68,  91, 103,  63,  82,  94,  60,  76,  88,  66,  80,  93,  69,  84,  97,  93, 108, 119, 103, 120, 132, 115, 131, 144, 124, 140, 152, 121, 137, 148, 125, 141, 153, 127, 143, 154, 120, 137, 147, 134, 150, 161, 140, 156, 168, 131, 147, 159, 139, 155, 166, 150, 165, 177, 138, 154, 167, 113, 129, 139,  97, 111, 127,
   122, 138, 152, 136, 151, 165, 150, 165, 176, 132, 148, 163, 149, 166, 179, 158, 174, 186, 155, 174, 183, 165, 182, 193, 152, 169, 178, 145, 158, 167, 122, 132, 142, 109, 121, 128, 103, 111, 120,  91,  97, 103, 105, 110, 114, 111, 115, 122, 138, 146, 152, 149, 159, 165, 163, 175, 182, 150, 158, 166, 152, 163, 171,
   158, 170, 178, 155, 167, 176, 163, 175, 183, 166, 180, 188, 167, 181, 189, 151, 162, 170, 120, 128, 133, 134, 141, 148, 128, 136, 142,  99, 100, 103, 122, 126, 133, 121, 122, 127, 124, 124, 128, 142, 144, 148, 144, 144, 147, 121, 113, 112, 118, 106, 106, 111,  96,  94, 122, 111, 109, 111, 102, 102, 117, 109, 107,
   130, 126, 128, 136, 139, 143, 140, 150, 156, 118, 127, 132,  99, 106, 109,  59,  68,  72,  22,  39,  41,  18,  38,  38,   3,  24,  23,   1,  25,  24,  10,  35,  32,   2,  30,  28,   6,  34,  32,  12,  36,  35,   5,  33,  31,   2,  32,  29,   5,  35,  32,   8,  36,  33,   6,  34,  33,  12,  38,  35,  24,  45,  43,
    16,  38,  36,   1,  23,  21,   1,  22,  20,   3,  17,  15,   3,  16,  14,   3,  17,  14,   5,  16,  13,  16,  22,  17,  27,  30,  22,  38,  38,  30,  33,  32,  21,  40,  39,  27,  46,  41,  31,  49,  43,  33,  53,  46,  36,  60,  50,  42,  63,  53,  44,  67,  56,  46,  68,  56,  47,  72,  58,  49,  74,  59,  51,
    75,  61,  51,  76,  60,  52,  76,  57,  50,  75,  56,  47,  74,  56,  47,  77,  57,  46,  81,  57,  49,  86,  59,  48,  89,  62,  51,  95,  66,  51, 101,  71,  55, 111,  77,  62, 122,  83,  67, 127,  85,  67, 136,  92,  73, 144,  97,  77, 150, 102,  82, 154, 104,  84, 153, 108,  89, 156, 111,  94, 157, 114,  98,
   152, 108,  91, 150, 112, 100, 147, 120, 112, 143, 118, 114, 136, 122, 123, 124, 125, 137, 114, 127, 142, 122, 146, 168, 133, 162, 189, 138, 169, 197, 131, 164, 195, 111, 143, 173, 106, 136, 169,  92, 122, 153,  78, 108, 141,  80, 108, 142,  98, 122, 148, 127, 129, 140, 143, 117, 115, 161, 113,  97, 166, 108,  82,
   171, 105,  70, 171,  97,  51, 170,  94,  43, 173,  90,  30, 175,  90,  18, 173,  86,  10, 176,  88,  10, 175,  87,   6, 177,  88,   8, 176,  86,   8, 178,  87,   9, 175,  84,   8, 178,  85,   9, 175,  83,  10, 176,  84,  13, 176,  84,  10, 173,  83,   7, 175,  85,  12, 172,  82,  12, 169,  81,  11, 168,  81,  13,
   166,  80,  14, 168,  81,  11, 165,  80,  15, 163,  80,  15, 164,  77,  12, 164,  79,  17, 161,  75,  15, 160,  77,  17, 158,  76,  13, 155,  75,   9, 153,  72,   6, 152,  71,   7, 152,  73,   8, 152,  72,  10, 150,  69,  10, 150,  69,  12, 148,  67,  12, 145,  68,  13, 146,  65,  10, 146,  66,   9, 146,  66,   9,
   140,  63,  11, 139,  63,  11, 139,  63,  15, 135,  60,  12, 134,  61,  13, 131,  60,  12, 128,  58,   8, 126,  57,   8, 125,  58,   8, 124,  55,   5, 123,  55,   5, 122,  55,   6, 121,  55,   6, 123,  55,   6, 124,  57,   7, 126,  57,   7, 126,  58,   9, 124,  57,   8, 122,  56,   7, 122,  56,   7, 120,  56,   8,
    99,  62,  45,  97,  63,  47,  91,  61,  46,  78,  54,  46,  58,  45,  40,  38,  33,  30,  21,  31,  31,  20,  46,  51,  31,  64,  71,  46,  86,  98,  65, 108, 125,  78, 122, 139,  83, 133, 154,  88, 138, 160,  86, 136, 158,  81, 131, 151,  80, 125, 143,  75, 119, 136,  66, 110, 127,  58, 101, 116,  53,  96, 111,
    55,  97, 112,  53,  95, 108,  52,  94, 107,  52,  91, 105,  51,  90, 104,  51,  90, 103,  49,  87, 102,  50,  87, 101,  53,  91, 103,  55,  90, 103,  55,  89, 102,  59,  90, 103,  61,  89, 101,  56,  80,  92,  58,  76,  89,  73,  91, 102,  87, 103, 114, 100, 115, 126, 118, 134, 145, 124, 140, 151, 124, 140, 152,
   122, 138, 150, 129, 145, 157, 115, 132, 142, 129, 146, 156, 136, 153, 165, 125, 141, 155, 109, 125, 139, 130, 146, 158, 142, 159, 169, 134, 150, 161, 130, 146, 158, 136, 152, 164, 134, 149, 162, 149, 166, 177, 117, 133, 148, 137, 153, 167, 138, 153, 166, 138, 153, 168, 139, 154, 169, 151, 167, 180, 143, 161, 173,
   170, 187, 196, 163, 180, 189, 163, 178, 187, 141, 152, 161, 149, 162, 172, 144, 156, 164, 138, 150, 158, 142, 152, 160, 154, 164, 174, 164, 176, 184, 166, 180, 188, 171, 185, 195, 175, 189, 198, 171, 186, 194, 173, 189, 198, 166, 182, 191, 178, 192, 200, 177, 193, 200, 181, 196, 204, 181, 193, 202, 163, 175, 182,
   168, 178, 187, 161, 175, 182, 152, 163, 170, 148, 157, 166, 161, 172, 179, 165, 176, 185, 171, 182, 189, 168, 177, 184, 156, 161, 167, 156, 161, 165, 149, 150, 155, 145, 147, 152, 146, 148, 153, 153, 158, 162, 158, 166, 171, 160, 170, 177, 159, 171, 178, 156, 168, 174, 113, 123, 130,  66,  76,  79,  52,  65,  67,
     9,  31,  31,  14,  34,  36,   7,  29,  26,  10,  33,  31,   8,  34,  31,   8,  34,  32,  11,  35,  34,  13,  38,  34,   8,  35,  32,   8,  36,  35,  12,  38,  35,   9,  36,  33,  16,  38,  36,  46,  62,  61,  11,  34,  32,   3,  27,  25,   2,  25,  23,   2,  20,  17,   2,  17,  15,   3,  17,  14,   2,  15,  12,
    13,  25,  23,  11,  21,  18,  27,  31,  28,  21,  24,  18,  35,  35,  25,  37,  36,  26,  39,  37,  27,  44,  41,  32,  50,  43,  36,  52,  44,  36,  57,  49,  41,  58,  48,  40,  60,  51,  43,  62,  51,  43,  64,  53,  45,  65,  55,  45,  64,  51,  43,  67,  53,  43,  67,  52,  43,  65,  49,  40,  66,  50,  37,
    72,  54,  43,  81,  58,  47,  88,  62,  48,  98,  71,  56, 109,  78,  64, 119,  82,  66, 125,  87,  70, 137,  96,  77, 143,  98,  80, 150, 107,  89, 155, 111,  96, 155, 113,  97, 156, 114,  99, 156, 118, 104, 148, 114, 103, 149, 125, 126, 141, 129, 131, 125, 120, 126, 117, 123, 135, 116, 134, 153, 127, 153, 175,
   138, 168, 194, 140, 170, 199, 132, 162, 194, 119, 151, 183,  99, 129, 160,  96, 126, 159,  87, 116, 149,  88, 117, 151, 100, 126, 154, 121, 134, 153, 134, 125, 135, 157, 128, 128, 161, 121, 114, 165, 117, 103, 167, 113,  93, 169, 102,  69, 171,  99,  59, 173,  92,  33, 175,  90,  21, 176,  88,  11, 179,  90,  10,
   177,  86,   4, 178,  87,   6, 179,  87,  10, 179,  87,   9, 179,  87,   7, 178,  85,   8, 176,  85,  11, 174,  82,   9, 177,  86,   8, 177,  84,   9, 173,  84,  11, 172,  81,  12, 171,  81,  12, 169,  81,  11, 169,  83,  19, 166,  82,  14, 168,  80,  13, 167,  78,  10, 168,  80,  13, 166,  79,  14, 162,  79,  15,
   161,  77,  15, 158,  75,  10, 155,  74,   9, 156,  75,  11, 151,  71,   6, 151,  71,   6, 151,  70,   7, 150,  68,  11, 150,  69,  11, 149,  68,  11, 148,  68,  13, 147,  68,   8, 146,  67,   6, 149,  68,   9, 142,  66,  10, 141,  64,  13, 139,  63,  12, 137,  60,  11, 134,  60,  11, 135,  61,  13, 130,  58,   9,
   128,  57,   8, 128,  57,   9, 126,  57,   8, 123,  56,   5, 123,  54,   5, 123,  56,   6, 126,  57,   7, 126,  57,   7, 128,  57,   7, 128,  59,  10, 124,  57,   7, 125,  56,   7, 123,  57,   8, 122,  55,   7,  98,  61,  45,  98,  63,  48,  83,  56,  46,  66,  49,  41,  45,  37,  33,  29,  31,  30,  19,  39,  42,
    26,  56,  65,  41,  76,  89,  54,  99, 111,  73, 116, 133,  83, 131, 148,  86, 137, 159,  87, 137, 159,  85, 135, 157,  82, 131, 150,  77, 124, 142,  72, 115, 133,  64, 108, 125,  59, 102, 116,  56, 100, 114,  54,  98, 111,  54,  96, 109,  52,  93, 106,  53,  91, 106,  51,  91, 105,  51,  91, 104,  50,  88, 101,
    53,  90, 104,  54,  91, 103,  58,  92, 105,  56,  90, 103,  57,  87,  99,  66,  94, 105,  82, 104, 114,  90, 107, 119, 114, 132, 142, 120, 136, 148, 119, 136, 148, 105, 120, 134, 105, 121, 133, 115, 132, 144, 110, 126, 139,  99, 114, 127, 115, 130, 144,  90, 106, 120,  86, 100, 115,  95, 109, 123,  83,  95, 110,
   106, 119, 132, 120, 136, 150, 128, 144, 156, 139, 155, 168, 136, 152, 164, 135, 150, 162, 135, 151, 164, 146, 162, 174, 130, 146, 160, 139, 154, 168, 156, 173, 185, 131, 146, 162, 157, 173, 185, 154, 170, 182, 162, 179, 191, 164, 180, 189, 161, 177, 187, 166, 181, 188, 159, 175, 183, 161, 173, 182, 160, 176, 183,
   165, 179, 188, 159, 175, 185, 164, 181, 189, 170, 185, 194, 164, 181, 191, 175, 192, 200, 176, 193, 201, 172, 189, 198, 170, 187, 196, 180, 196, 206, 178, 195, 204, 190, 205, 216, 187, 202, 212, 185, 202, 209, 181, 194, 204, 184, 200, 208, 170, 186, 196, 166, 181, 189, 179, 191, 201, 181, 195, 205, 188, 203, 210,
   190, 203, 212, 183, 198, 206, 188, 200, 208, 183, 195, 203, 177, 187, 196, 172, 183, 191, 177, 189, 196, 181, 192, 201, 174, 188, 196, 181, 192, 200, 173, 186, 194, 137, 150, 157, 104, 116, 121,  79,  92,  97,  20,  38,  39,  24,  43,  44,  30,  48,  48,  14,  35,  33,  18,  39,  37,  13,  36,  34,  17,  40,  38,
    18,  41,  39,  11,  35,  33,  11,  38,  35,  14,  40,  37,  23,  43,  41,  36,  53,  52,  45,  61,  60,  23,  42,  39,  13,  33,  31,   8,  29,  26,   5,  26,  23,   7,  27,  24,   8,  24,  21,  12,  28,  26,   6,  21,  20,  10,  23,  22,  10,  22,  19,  15,  24,  22,  27,  32,  28,  22,  26,  21,  29,  30,  25,
    31,  32,  24,  44,  42,  35,  46,  41,  34,  43,  38,  31,  48,  43,  37,  53,  45,  37,  48,  42,  35,  52,  46,  39,  55,  49,  41,  55,  47,  37,  54,  45,  35,  56,  45,  36,  57,  45,  36,  60,  46,  33,  65,  50,  39,  72,  53,  43,  83,  62,  50,  96,  70,  57, 105,  77,  63, 117,  84,  67, 124,  89,  74,
   136,  96,  82, 142, 104,  87, 149, 111,  97, 156, 117, 103, 156, 118, 105, 153, 120, 108, 149, 126, 121, 145, 129, 130, 138, 130, 134, 118, 122, 132, 105, 114, 127, 112, 131, 149, 130, 155, 178, 138, 168, 193, 140, 170, 196, 130, 159, 191, 124, 153, 185, 110, 140, 172, 101, 131, 165,  90, 120, 155,  88, 117, 152,
    95, 125, 158, 114, 131, 151, 133, 125, 140, 149, 125, 130, 158, 121, 116, 163, 117, 110, 162, 109,  91, 169, 104,  74, 172,  99,  57, 174,  97,  45, 177,  93,  30, 175,  88,  17, 178,  87,  13, 178,  89,   9, 180,  89,   5, 179,  87,   4, 179,  87,   8, 179,  86,   7, 179,  88,   4, 178,  86,   6, 177,  85,   7,
   178,  86,   9, 177,  86,   7, 175,  83,   8, 174,  85,  14, 173,  84,  13, 170,  82,  14, 169,  82,  16, 170,  84,  20, 170,  81,  12, 170,  83,  12, 170,  80,  10, 169,  78,  10, 166,  79,  13, 163,  76,  13, 160,  75,   9, 160,  74,  10, 157,  75,  10, 156,  72,   7, 156,  72,   8, 152,  70,   5, 152,  71,   7,
   151,  69,  10, 150,  69,  11, 150,  68,   9, 150,  70,  11, 149,  69,   8, 149,  70,   7, 149,  68,   8, 144,  65,   8, 142,  63,  10, 140,  63,  11, 138,  61,  12, 136,  60,  12, 135,  60,  12, 133,  59,  13, 131,  57,  10, 128,  59,  10, 128,  58,   8, 126,  56,   6, 124,  55,   5, 126,  55,   6, 125,  55,   5,
   130,  58,   8, 130,  58,  10, 130,  58,   9, 128,  57,   6, 125,  56,   6, 123,  56,   7, 122,  55,   7,  99,  64,  49,  91,  60,  46,  74,  52,  43,  54,  42,  34,  36,  30,  26,  23,  35,  35,  20,  50,  57,  33,  68,  77,  47,  88, 101,  64, 110, 124,  79, 125, 142,  84, 135, 156,  86, 136, 158,  85, 135, 158,
    84, 134, 156,  81, 129, 147,  76, 120, 138,  67, 112, 128,  62, 106, 122,  59, 102, 117,  57, 101, 115,  54,  97, 110,  54,  96, 109,  54,  94, 107,  51,  90, 104,  52,  91, 105,  52,  90, 104,  54,  91, 103,  54,  91, 105,  58,  95, 108,  59,  94, 107,  67, 100, 113,  81, 108, 121,  94, 119, 133, 104, 125, 138,
   104, 121, 136,  97, 114, 126,  79,  93, 107,  75,  88, 100,  82,  95, 110,  76,  89, 103,  71,  83,  97,  63,  76,  89,  79,  92, 106,  89, 101, 114, 118, 134, 146, 120, 135, 147, 126, 141, 153, 129, 145, 158, 115, 129, 143, 131, 147, 159, 133, 149, 162, 133, 149, 161, 139, 155, 167, 140, 156, 167, 145, 161, 173,
   121, 137, 151, 138, 155, 168, 138, 153, 167, 129, 145, 158, 149, 165, 178, 143, 159, 173, 158, 174, 186, 156, 172, 184, 169, 184, 193, 166, 182, 192, 165, 180, 189, 168, 183, 191, 169, 181, 191, 167, 184, 191, 166, 181, 190, 159, 174, 183, 164, 180, 189, 167, 183, 193, 161, 177, 190, 158, 174, 186, 172, 189, 199,
   163, 180, 192, 169, 186, 198, 175, 191, 202, 179, 195, 206, 185, 202, 213, 182, 198, 206, 189, 207, 215, 183, 198, 208, 188, 205, 214, 177, 194, 203, 174, 191, 200, 191, 207, 215, 187, 204, 213, 194, 210, 218, 195, 212, 220, 188, 204, 213, 194, 209, 217, 194, 207, 216, 190, 205, 215, 193, 206, 214, 190, 201, 211,
   192, 208, 216, 180, 197, 206, 190, 206, 213, 186, 200, 208, 164, 176, 184, 158, 171, 177, 105, 116, 122,  54,  66,  69,  38,  52,  54,  28,  43,  42,  31,  49,  49,  30,  48,  47,  23,  42,  41,  25,  45,  43,  32,  51,  49,  16,  40,  38,  29,  49,  47,  36,  53,  53,  59,  74,  74,  62,  75,  76,  60,  73,  74,
    47,  58,  56,  28,  43,  40,  19,  35,  32,  13,  30,  27,  25,  37,  36,  15,  32,  30,  27,  42,  41,  11,  27,  25,  24,  38,  37,  16,  28,  27,   6,  20,  18,  12,  26,  24,  12,  23,  20,  20,  27,  24,  19,  24,  21,  41,  39,  35,  31,  30,  25,  37,  34,  29,  39,  35,  29,  37,  33,  28,  38,  35,  29,
    43,  40,  35,  47,  43,  37,  43,  37,  31,  44,  37,  28,  49,  41,  32,  51,  42,  32,  53,  43,  33,  62,  50,  39,  74,  58,  46,  82,  65,  53,  94,  73,  61, 104,  78,  65, 117,  87,  70, 121,  90,  75, 136, 105,  95, 142, 111, 104, 149, 120, 112, 150, 122, 116, 152, 128, 122, 146, 134, 134, 146, 143, 147,
   132, 134, 141, 118, 127, 138, 110, 125, 141, 110, 132, 149, 130, 156, 178, 142, 170, 196, 137, 166, 191, 134, 164, 193, 123, 153, 182, 108, 138, 173,  98, 125, 159,  94, 124, 159,  90, 119, 153,  94, 122, 155, 107, 128, 154, 130, 131, 145, 145, 129, 138, 157, 127, 126, 164, 121, 109, 171, 114,  94, 175, 109,  80,
   174, 102,  60, 177,  98,  47, 177,  95,  33, 178,  92,  22, 180,  91,  18, 182,  92,  16, 180,  88,   8, 179,  89,   2, 181,  88,   1, 180,  88,   3, 180,  89,   5, 180,  88,   3, 179,  88,   4, 178,  87,   6, 178,  87,   6, 178,  85,   5, 178,  86,  10, 173,  86,  13, 169,  82,  16, 171,  85,  17, 173,  85,  14,
   171,  83,  12, 172,  83,  10, 171,  83,   8, 171,  81,   8, 169,  78,  11, 165,  78,  12, 164,  77,  14, 162,  75,  11, 161,  74,   9, 158,  73,   7, 159,  74,   7, 157,  72,   6, 156,  74,   9, 155,  72,  10, 151,  69,  10, 151,  69,   9, 151,  72,   5, 148,  69,   6, 149,  68,   8, 150,  69,   7, 149,  68,   9,
   147,  67,  10, 146,  65,  10, 142,  63,  10, 139,  62,  11, 138,  62,  11, 136,  60,  12, 134,  60,  12, 132,  58,  10, 130,  59,  11, 128,  57,   8, 130,  58,   8, 127,  56,   5, 126,  57,   5, 129,  58,   8, 129,  55,   4, 133,  60,  11, 130,  58,   8, 131,  58,   7, 127,  57,   4, 124,  55,   6, 124,  57,   7,
    96,  62,  46,  82,  56,  43,  61,  44,  36,  44,  34,  28,  29,  32,  29,  21,  45,  50,  27,  60,  70,  43,  79,  92,  55,  98, 112,  72, 117, 133,  80, 129, 147,  83, 135, 156,  86, 136, 157,  84, 133, 154,  82, 131, 151,  80, 126, 143,  71, 115, 131,  64, 109, 124,  63, 106, 121,  60, 103, 118,  56, 100, 114,
    54,  96, 109,  52,  94, 107,  54,  93, 107,  52,  91, 105,  51,  89, 103,  52,  89, 103,  55,  92, 106,  60,  96, 109,  61,  96, 109,  64,  98, 112,  75, 104, 118,  73,  99, 114,  70,  92, 106,  70,  86,  98,  76,  90, 104,  73,  84,  98,  72,  85,  98,  78,  90, 104,  62,  74,  88,  52,  63,  76,  53,  62,  76,
    64,  75,  87,  89, 101, 113, 116, 130, 143, 123, 140, 152, 118, 132, 147, 125, 141, 154,  93, 109, 124, 108, 124, 139,  85, 102, 117, 102, 117, 133, 135, 151, 163, 142, 158, 172, 143, 159, 171, 136, 152, 165, 149, 164, 178, 117, 133, 148, 145, 159, 173, 150, 166, 178, 136, 153, 165, 148, 165, 176, 161, 175, 187,
   164, 181, 191, 166, 181, 192, 166, 183, 192, 170, 186, 194, 177, 192, 200, 174, 188, 196, 181, 193, 202, 167, 184, 194, 164, 181, 189, 167, 182, 192, 160, 176, 189, 163, 180, 190, 151, 168, 180, 155, 172, 183, 155, 173, 184, 163, 182, 191, 167, 184, 195, 183, 201, 209, 181, 198, 207, 191, 207, 216, 191, 208, 217,
   180, 198, 206, 187, 204, 213, 181, 199, 207, 178, 196, 205, 191, 209, 216, 191, 208, 217, 197, 215, 223, 197, 215, 222, 190, 207, 217, 190, 207, 215, 196, 212, 222, 190, 207, 216, 194, 211, 219, 194, 210, 218, 189, 206, 215, 182, 200, 209, 196, 214, 221, 194, 210, 219, 183, 195, 204, 177, 191, 200, 146, 159, 166,
   113, 125, 129,  93, 105, 109,  65,  78,  81,  53,  66,  68,  64,  76,  79,  59,  72,  74,  46,  59,  61,  62,  76,  77,  39,  57,  57,  81,  93,  96,  97, 110, 113,  77,  89,  92,  85,  97,  99,  82,  94,  96,  47,  57,  56,  44,  55,  55,  31,  43,  43,  24,  37,  35,  35,  48,  47,  35,  47,  48,  31,  44,  44,
    24,  38,  37,  44,  57,  57,  22,  35,  34,   7,  22,  20,  14,  28,  27,   4,  19,  15,  15,  26,  24,  15,  23,  21,  34,  37,  36,  19,  24,  22,  29,  30,  28,  24,  25,  22,  24,  26,  22,  32,  30,  26,  38,  36,  31,  41,  39,  34,  41,  37,  31,  40,  36,  29,  46,  41,  32,  46,  40,  31,  53,  45,  35,
    60,  50,  40,  75,  63,  53,  86,  70,  62,  93,  78,  68, 102,  85,  74, 111,  91,  77, 121, 102,  93, 134, 118, 114, 140, 122, 120, 145, 133, 132, 149, 142, 146, 148, 145, 152, 140, 145, 154, 129, 141, 150, 111, 123, 138, 114, 129, 147, 124, 145, 165, 132, 157, 178, 140, 167, 191, 139, 166, 193, 134, 164, 190,
   126, 154, 184, 112, 140, 173, 102, 131, 165, 104, 133, 168, 101, 129, 164, 102, 132, 168, 113, 135, 162, 132, 137, 152, 138, 119, 127, 159, 125, 123, 164, 121, 108, 168, 112,  93, 173, 109,  78, 178, 104,  63, 179, 102,  53, 179,  97,  38, 181,  95,  30, 181,  94,  20, 182,  91,  13, 182,  91,  15, 182,  90,   8,
   181,  89,   2, 182,  89,   2, 181,  88,   2, 182,  89,   2, 180,  86,   0, 181,  87,   2, 180,  87,   5, 180,  88,   9, 180,  87,   7, 171,  85,  15, 174,  86,  16, 176,  85,   8, 175,  85,  12, 174,  84,  10, 175,  82,   8, 172,  84,   9, 173,  81,   8, 170,  80,   9, 169,  82,  15, 165,  78,  12, 164,  77,  13,
   162,  75,  11, 161,  75,   8, 160,  76,  10, 159,  73,   6, 159,  73,   6, 157,  73,   7, 155,  72,   9, 152,  69,   7, 153,  69,   6, 151,  69,   3, 151,  71,   4, 152,  70,   9, 151,  71,   8, 150,  70,   8, 150,  68,  11, 144,  64,   8, 142,  63,  10, 139,  60,  12, 137,  62,  11, 137,  61,  12, 134,  59,  11,
   133,  59,  11, 130,  58,  10, 131,  59,  10, 129,  56,   4, 128,  56,   5, 130,  56,   6, 129,  56,   5, 133,  58,   8, 133,  59,   8, 133,  60,   8, 131,  57,   6, 130,  57,   5, 129,  58,   6, 126,  57,   6,  89,  58,  44,  71,  50,  39,  51,  37,  30,  35,  30,  26,  24,  40,  42,  25,  55,  63,  38,  73,  84,
    52,  90, 106,  65, 109, 125,  77, 122, 140,  82, 133, 150,  84, 134, 155,  83, 133, 152,  82, 132, 150,  81, 127, 144,  75, 119, 137,  67, 111, 128,  64, 109, 124,  63, 106, 122,  59, 102, 116,  56, 100, 113,  55,  97, 110,  53,  95, 108,  54,  93, 107,  52,  90, 104,  53,  91, 105,  55,  92, 106,  58,  95, 109,
    60,  97, 111,  60,  96, 109,  61,  93, 107,  60,  86,  99,  67,  86,  99,  76,  92, 106,  65,  80,  95,  71,  83,  97,  76,  88, 101,  64,  76,  88,  50,  60,  74,  66,  76,  88,  70,  81,  94,  92, 105, 116, 109, 123, 135,  79,  93, 107,  71,  85, 100,  96, 110, 124, 100, 116, 129,  99, 115, 128, 127, 143, 155,
   115, 131, 145, 124, 140, 153,  88, 102, 119,  93, 107, 125, 114, 129, 144, 124, 140, 152, 137, 152, 166, 121, 136, 152, 138, 154, 167, 139, 155, 168, 146, 162, 175, 144, 161, 173, 135, 151, 166, 162, 178, 189, 164, 181, 191, 159, 175, 187, 164, 181, 191, 165, 182, 191, 178, 194, 202, 183, 199, 207, 181, 195, 203,
   177, 192, 200, 174, 191, 198, 168, 183, 192, 160, 177, 188, 169, 184, 193, 152, 169, 178, 147, 164, 174, 155, 172, 183, 160, 177, 189, 166, 182, 194, 176, 193, 201, 181, 198, 207, 186, 203, 212, 185, 202, 211, 183, 201, 209, 188, 205, 214, 185, 202, 211, 180, 198, 206, 185, 200, 211, 199, 214, 223, 196, 213, 222,
   197, 215, 222, 194, 211, 220, 187, 204, 215, 191, 208, 217, 191, 208, 217, 191, 208, 217, 196, 213, 222, 188, 205, 213, 194, 211, 219, 201, 218, 226, 196, 213, 222, 196, 212, 219, 191, 207, 214, 185, 198, 206, 162, 175, 182, 122, 135, 142, 122, 136, 142,  84,  96, 101, 115, 129, 133,  97, 109, 113,  89, 101, 104,
    97, 109, 110,  69,  83,  83, 137, 150, 156, 131, 143, 147, 110, 121, 128, 119, 129, 136, 112, 122, 125,  68,  77,  79,  74,  85,  86,  69,  78,  80,  44,  55,  54,  38,  49,  49,  53,  64,  64,  47,  58,  59,  53,  65,  66,  52,  64,  66,  35,  46,  44,  18,  31,  31,  11,  25,  24,   6,  20,  18,  18,  31,  29,
    31,  39,  38,  19,  28,  28,  19,  27,  26,  17,  24,  23,  14,  18,  16,  19,  24,  22,  31,  33,  32,  28,  28,  26,  35,  34,  31,  48,  46,  44,  43,  41,  35,  44,  42,  33,  45,  39,  31,  51,  44,  36,  72,  65,  60,  82,  74,  72,  87,  77,  73,  99,  89,  86, 105,  94,  90, 119, 106, 104, 130, 122, 123,
   142, 135, 138, 138, 136, 139, 145, 150, 157, 146, 157, 167, 135, 150, 163, 128, 144, 158, 117, 136, 151, 110, 129, 145, 129, 150, 170, 137, 160, 182, 142, 168, 192, 143, 169, 195, 136, 163, 191, 127, 156, 185, 116, 144, 175, 110, 138, 172, 103, 131, 165, 106, 135, 170, 102, 131, 166, 113, 136, 165, 135, 141, 158,
   140, 132, 144, 157, 132, 135, 162, 123, 114, 170, 117, 100, 175, 109,  84, 179, 109,  71, 179, 104,  57, 181, 100,  48, 183,  97,  36, 182,  96,  30, 184,  94,  21, 184,  92,  13, 182,  90,   9, 183,  90,   6, 184,  91,   6, 184,  92,   7, 182,  89,   3, 183,  88,   1, 184,  90,   2, 181,  88,   2, 182,  89,   7,
   179,  89,  10, 176,  85,  13, 176,  87,  11, 178,  85,   5, 178,  85,   5, 176,  85,  10, 176,  85,   9, 176,  84,   8, 175,  84,   9, 176,  82,   9, 172,  82,  13, 169,  82,  16, 166,  79,  11, 164,  77,  11, 163,  78,  15, 163,  77,  11, 160,  73,   9, 159,  74,   7, 157,  72,   4, 157,  71,   4, 157,  72,   6,
   155,  73,   6, 156,  71,   5, 155,  71,   4, 154,  73,   6, 152,  70,   7, 150,  69,   7, 149,  69,   7, 148,  68,   9, 144,  63,   6, 143,  63,  10, 141,  62,  11, 137,  60,  11, 136,  60,  11, 136,  60,  11, 135,  60,  12, 133,  59,  11, 131,  58,   9, 131,  58,   7, 129,  56,   4, 131,  57,   6, 132,  57,   5,
   132,  58,   5, 135,  59,   9, 134,  59,   7, 135,  60,   9, 133,  59,   7, 130,  58,   5, 129,  58,   6,  82,  55,  43,  60,  43,  34,  41,  32,  26,  32,  39,  37,  23,  50,  55,  33,  66,  78,  45,  85,  98,  59, 102, 116,  73, 116, 134,  79, 127, 144,  82, 131, 148,  83, 132, 151,  83, 130, 149,  80, 127, 145,
    77, 120, 138,  69, 113, 129,  66, 111, 125,  65, 109, 123,  61, 104, 119,  59, 103, 117,  56,  98, 111,  54,  96, 109,  55,  93, 107,  53,  92, 106,  55,  91, 105,  54,  91, 105,  56,  93, 107,  60,  96, 110,  59,  93, 107,  60,  93, 108,  60,  87, 102,  64,  85, 100,  57,  75,  88,  59,  75,  89,  69,  81,  95,
    71,  83,  96,  57,  67,  81,  59,  68,  80,  75,  86,  97,  90, 102, 114,  95, 111, 123,  78,  92, 107,  92, 107, 118,  88, 101, 113,  91, 103, 116, 103, 118, 131, 116, 132, 143, 137, 152, 163, 121, 136, 147, 138, 154, 163, 142, 159, 169, 148, 165, 174, 119, 135, 148, 108, 122, 138, 117, 133, 148, 141, 157, 170,
   117, 133, 147, 136, 152, 165, 155, 169, 182, 139, 154, 168, 142, 157, 173, 148, 165, 178, 149, 165, 179, 173, 189, 198, 156, 172, 184, 162, 178, 190, 167, 183, 193, 181, 194, 203, 187, 200, 210, 181, 193, 202, 186, 201, 210, 183, 198, 205, 174, 189, 200, 163, 179, 191, 165, 181, 192, 163, 180, 189, 146, 162, 174,
   154, 171, 182, 159, 176, 188, 158, 175, 185, 174, 191, 200, 177, 194, 203, 180, 197, 207, 183, 200, 209, 188, 204, 213, 187, 204, 212, 187, 204, 213, 186, 203, 212, 180, 198, 206, 198, 215, 222, 201, 219, 226, 204, 221, 230, 192, 210, 219, 180, 196, 207, 189, 205, 217, 193, 209, 219, 193, 210, 219, 195, 212, 220,
   187, 204, 213, 202, 219, 227, 201, 218, 227, 197, 214, 223, 204, 219, 228, 204, 220, 227, 200, 216, 224, 194, 209, 217, 178, 190, 197, 156, 170, 176, 142, 155, 160, 173, 187, 192, 158, 168, 175, 155, 166, 174, 145, 157, 161, 136, 147, 153, 174, 187, 193, 161, 173, 179, 144, 156, 162, 163, 175, 182, 139, 151, 157,
   123, 134, 139, 115, 125, 129,  98, 107, 111,  79,  88,  90,  70,  78,  81,  84,  93,  97,  98, 109, 114,  75,  87,  89,  80,  90,  93,  55,  60,  59,  41,  48,  47,  22,  32,  31,   9,  21,  22,  29,  39,  39,  56,  63,  63,  28,  35,  34,  13,  24,  22,  18,  28,  26,  21,  26,  25,  29,  34,  32,  22,  28,  25,
    18,  22,  20,  46,  49,  49,  56,  61,  60,  43,  41,  37,  43,  40,  32,  49,  46,  39,  64,  62,  61,  80,  77,  76,  80,  74,  75,  95,  88,  89, 113, 110, 112, 123, 120, 120, 131, 130, 133, 141, 146, 153, 145, 152, 160, 146, 156, 167, 143, 159, 172, 141, 158, 172, 134, 151, 167, 126, 144, 160, 123, 143, 161,
   133, 154, 174, 143, 167, 187, 146, 169, 192, 149, 173, 196, 140, 166, 192, 130, 156, 186, 124, 152, 183, 120, 148, 179, 114, 141, 176, 104, 132, 166, 103, 133, 168, 111, 136, 169, 127, 135, 152, 144, 130, 139, 152, 128, 131, 162, 130, 130, 170, 131, 127, 173, 132, 119, 176, 124, 108, 172, 115,  91, 179, 108,  71,
   182, 102,  56, 186,  99,  38, 182,  95,  25, 186,  95,  21, 186,  94,  16, 187,  94,  15, 183,  91,   8, 186,  93,   9, 184,  92,   6, 184,  89,   1, 185,  89,   3, 183,  90,   1, 183,  88,   3, 179,  88,  15, 178,  87,  11, 180,  88,   6, 179,  86,   6, 179,  86,   3, 179,  86,   4, 176,  86,   6, 176,  84,   7,
   177,  85,   8, 175,  84,   9, 174,  82,  12, 173,  84,  15, 166,  79,  13, 166,  80,  14, 164,  77,  13, 165,  78,  14, 164,  78,  14, 161,  74,  10, 160,  75,   8, 157,  72,   4, 157,  72,   5, 157,  73,   6, 155,  72,   5, 156,  70,   3, 155,  72,   4, 154,  71,   4, 153,  70,   4, 149,  69,   7, 151,  69,   8,
   149,  69,   8, 146,  65,   9, 143,  64,  11, 139,  62,  10, 138,  63,  11, 138,  62,  11, 135,  59,  11, 135,  59,  11, 135,  60,  12, 131,  57,   7, 132,  58,   8, 131,  58,   8, 132,  58,   6, 134,  58,   8, 133,  58,   8, 136,  61,   9, 135,  58,   4, 136,  59,   6, 134,  60,   6, 132,  58,   4, 128,  56,   3,
    72,  48,  39,  50,  37,  31,  39,  37,  33,  28,  47,  51,  29,  62,  70,  43,  79,  92,  55,  96, 109,  66, 111, 126,  78, 122, 139,  82, 129, 146,  81, 129, 147,  82, 130, 148,  82, 128, 146,  77, 121, 137,  69, 114, 131,  69, 113, 128,  65, 110, 124,  63, 106, 121,  61, 104, 118,  57, 100, 114,  56,  98, 111,
    55,  97, 110,  54,  92, 106,  54,  92, 106,  53,  90, 104,  55,  92, 106,  57,  94, 108,  61,  96, 110,  58,  91, 106,  59,  85, 101,  67,  91, 107,  70,  90, 106,  78,  94, 108,  70,  82,  95,  71,  82,  97,  88, 102, 116, 103, 116, 129, 119, 135, 144, 125, 141, 152, 106, 122, 134,  97, 112, 125, 104, 118, 131,
   110, 125, 138, 123, 140, 152, 125, 141, 154, 128, 143, 153, 129, 145, 158, 110, 126, 139, 144, 159, 172, 147, 162, 175, 148, 165, 177, 162, 179, 189, 156, 172, 182, 152, 168, 180, 147, 162, 176, 130, 146, 159, 141, 157, 171, 119, 135, 149, 127, 142, 158, 157, 172, 184, 136, 153, 167, 142, 158, 171, 144, 160, 173,
   165, 182, 193, 177, 192, 199, 169, 184, 195, 167, 183, 195, 171, 188, 195, 188, 202, 212, 187, 203, 210, 185, 200, 207, 187, 203, 210, 174, 188, 200, 172, 189, 198, 161, 178, 190, 167, 183, 192, 161, 175, 184, 157, 174, 184, 160, 178, 187, 156, 173, 183, 177, 193, 201, 181, 198, 206, 178, 195, 204, 185, 201, 210,
   191, 205, 215, 191, 208, 215, 196, 211, 220, 187, 204, 213, 181, 198, 206, 202, 220, 228, 206, 223, 232, 208, 224, 233, 201, 217, 229, 178, 194, 206, 185, 201, 213, 187, 205, 214, 194, 211, 220, 199, 216, 224, 192, 209, 218, 210, 225, 234, 200, 217, 226, 196, 213, 221, 210, 225, 233, 208, 224, 231, 205, 221, 228,
   207, 223, 230, 202, 216, 224, 187, 200, 208, 186, 199, 206, 196, 209, 217, 193, 205, 211, 189, 201, 210, 185, 197, 203, 187, 198, 206, 190, 202, 210, 185, 198, 206, 175, 189, 196, 186, 197, 205, 172, 185, 191, 171, 184, 190, 156, 168, 175, 145, 156, 163, 127, 139, 144, 118, 129, 133, 137, 149, 153, 128, 141, 147,
   106, 116, 121, 111, 120, 127,  59,  62,  63,  66,  71,  70,  43,  46,  46,  30,  37,  36,  57,  64,  65,  70,  78,  80,  29,  35,  34,  21,  28,  27,  36,  42,  41,  42,  50,  50,  11,  18,  17,  21,  27,  25,  35,  40,  39,  55,  59,  60,  56,  61,  60,  43,  41,  38,  57,  55,  53,  65,  66,  67,  76,  80,  80,
    77,  79,  79,  87,  88,  88, 109, 113, 117, 127, 132, 138, 132, 136, 143, 142, 150, 160, 147, 160, 171, 151, 167, 179, 146, 163, 179, 141, 158, 174, 133, 151, 168, 126, 146, 163, 129, 147, 164, 140, 164, 182, 146, 170, 190, 146, 170, 190, 145, 169, 191, 140, 165, 190, 135, 160, 187, 124, 152, 183, 122, 150, 182,
   121, 149, 182, 114, 142, 177, 113, 142, 177, 117, 144, 180, 127, 147, 172, 142, 145, 158, 146, 129, 137, 166, 135, 133, 167, 128, 123, 172, 126, 118, 172, 128, 114, 174, 126, 114, 173, 126, 113, 173, 119,  99, 176, 114,  89, 180, 108,  67, 184, 100,  42, 184,  96,  24, 187,  96,  21, 184,  92,  13, 186,  93,  12,
   187,  92,  10, 183,  91,   8, 185,  90,   5, 185,  90,   3, 183,  90,   4, 178,  90,   6, 180,  89,   7, 185,  89,   5, 183,  88,   3, 182,  87,   4, 181,  87,   4, 181,  84,   2, 179,  86,   3, 178,  85,   7, 178,  86,   8, 177,  84,   8, 174,  82,  11, 171,  81,  15, 167,  79,  13, 164,  78,  12, 165,  79,  13,
   163,  77,  11, 163,  76,  12, 161,  74,   8, 161,  74,  10, 160,  74,   8, 159,  73,   6, 157,  72,   5, 156,  71,   5, 156,  71,   5, 155,  70,   4, 153,  69,   3, 150,  68,   2, 150,  70,   6, 151,  68,   7, 149,  68,   8, 147,  67,   9, 144,  63,   8, 142,  64,  12, 139,  63,  11, 139,  63,  11, 137,  61,  12,
   138,  61,  12, 135,  59,  11, 135,  59,   8, 133,  58,   7, 131,  58,   6, 132,  59,   7, 134,  60,   8, 135,  60,   8, 135,  60,   8, 137,  61,   8, 136,  60,   5, 132,  58,   4, 135,  60,   6, 133,  59,   5,  62,  42,  34,  45,  37,  32,  36,  46,  46,  28,  57,  63,  38,  73,  85,  51,  91, 105,  62, 105, 119,
    72, 117, 134,  80, 125, 143,  79, 126, 143,  80, 128, 145,  81, 125, 143,  78, 122, 139,  70, 114, 131,  68, 112, 127,  67, 111, 125,  65, 108, 123,  62, 105, 120,  60, 103, 117,  58, 100, 115,  56,  99, 112,  54,  95, 108,  55,  91, 105,  54,  91, 105,  55,  92, 105,  58,  94, 108,  55,  90, 104,  54,  88, 103,
    56,  84, 100,  58,  83,  98,  55,  73,  90,  57,  72,  89,  54,  68,  84,  57,  69,  82,  72,  84,  99,  89, 105, 117,  99, 115, 128,  94, 110, 123,  81,  96, 110, 116, 132, 144, 122, 138, 151, 124, 142, 152, 116, 132, 145, 102, 118, 132, 114, 130, 142, 125, 140, 152, 131, 146, 159, 133, 149, 161, 138, 153, 167,
   142, 158, 170, 162, 178, 189, 152, 168, 179, 161, 178, 189, 135, 151, 163, 116, 131, 148, 150, 166, 178, 147, 163, 175, 138, 154, 166, 130, 144, 161, 130, 146, 160, 156, 172, 184, 156, 170, 184, 148, 164, 177, 167, 183, 193, 169, 184, 195, 178, 193, 202, 167, 183, 194, 166, 182, 192, 179, 195, 203, 193, 208, 217,
   183, 198, 205, 190, 205, 212, 174, 190, 199, 180, 197, 206, 168, 184, 193, 163, 178, 188, 168, 183, 193, 163, 177, 186, 162, 179, 187, 155, 171, 182, 175, 192, 200, 182, 199, 206, 183, 200, 209, 188, 204, 212, 187, 203, 212, 194, 210, 218, 194, 212, 218, 193, 209, 217, 190, 207, 214, 204, 219, 228, 215, 230, 238,
   214, 229, 238, 202, 218, 228, 180, 197, 207, 184, 201, 210, 184, 201, 210, 189, 206, 216, 197, 214, 225, 192, 209, 219, 210, 226, 235, 211, 226, 235, 200, 216, 225, 212, 228, 237, 211, 226, 236, 217, 233, 240, 216, 230, 238, 210, 224, 232, 204, 220, 227, 206, 219, 227, 200, 215, 223, 201, 215, 223, 200, 214, 223,
   195, 208, 216, 194, 210, 217, 194, 209, 215, 191, 206, 214, 184, 200, 209, 194, 206, 214, 193, 206, 213, 191, 204, 212, 172, 184, 191, 187, 199, 206, 167, 180, 186, 173, 185, 193, 183, 196, 203, 167, 180, 188, 135, 145, 153, 132, 140, 149,  72,  73,  74, 107, 113, 116,  61,  63,  62,  54,  56,  57,  95, 104, 109,
    67,  73,  75,  40,  45,  44,  35,  40,  40,  65,  68,  69,  28,  35,  36,  16,  25,  24,  39,  45,  46,  48,  54,  54,  55,  61,  62,  73,  77,  79,  57,  60,  60,  71,  74,  76,  90,  94,  99,  96, 101, 105,  90,  97, 100, 111, 117, 124, 132, 143, 152, 144, 155, 166, 146, 159, 170, 147, 163, 177, 155, 172, 185,
   158, 175, 190, 138, 156, 172, 137, 154, 171, 130, 147, 165, 135, 153, 170, 145, 169, 187, 152, 177, 195, 148, 173, 193, 146, 171, 191, 146, 170, 192, 133, 159, 184, 121, 147, 178, 117, 145, 177, 115, 141, 176, 114, 141, 176, 112, 140, 175, 111, 142, 175, 124, 146, 174, 145, 151, 167, 145, 140, 148, 162, 139, 143,
   167, 133, 131, 174, 129, 117, 174, 122, 106, 178, 124, 104, 176, 120,  99, 178, 119,  97, 178, 115,  88, 180, 116,  91, 180, 116,  94, 184, 113,  83, 182, 106,  59, 185,  96,  24, 187,  94,  16, 188,  93,  13, 187,  92,  13, 186,  94,  13, 187,  90,   4, 181,  90,  13, 183,  92,  14, 186,  90,   2, 187,  90,   5,
   184,  88,   1, 184,  87,   1, 184,  88,   2, 182,  88,   3, 182,  85,   2, 182,  87,   1, 178,  85,   4, 177,  85,   8, 177,  84,   9, 172,  81,  13, 170,  81,  15, 168,  80,  13, 165,  78,  11, 164,  77,  13, 163,  76,  11, 163,  76,  12, 162,  76,  10, 160,  73,   8, 159,  73,   8, 156,  71,   5, 154,  72,   6,
   154,  71,   6, 154,  71,   7, 154,  71,   6, 154,  70,   4, 152,  70,   3, 153,  68,   5, 155,  71,   6, 150,  68,   4, 148,  66,   5, 146,  66,   8, 142,  63,   9, 140,  61,  10, 139,  62,  10, 138,  62,   9, 137,  60,  11, 135,  59,  10, 134,  58,   7, 131,  58,   8, 133,  59,   5, 133,  58,   6, 133,  58,   6,
   136,  61,   9, 138,  61,   8, 139,  61,   7, 137,  59,   3, 136,  59,   4, 135,  60,   6, 132,  56,   3,  53,  40,  33,  43,  43,  43,  31,  55,  59,  35,  69,  79,  47,  87, 100,  58, 101, 115,  68, 113, 130,  78, 122, 139,  80, 126, 143,  80, 125, 142,  79, 124, 142,  76, 119, 137,  72, 115, 133,  67, 112, 127,
    67, 111, 125,  65, 108, 123,  64, 107, 122,  60, 104, 117,  60, 103, 116,  58, 102, 115,  59,  98, 112,  54,  93, 107,  54,  93, 106,  55,  93, 106,  55,  92, 105,  56,  91, 106,  54,  88, 102,  52,  80,  95,  55,  81,  97,  55,  76,  92,  50,  66,  83,  40,  55,  71,  41,  53,  67,  60,  72,  85,  62,  73,  88,
    72,  85, 100,  63,  75,  87,  92, 104, 115, 104, 119, 131, 107, 124, 136, 100, 117, 129, 105, 121, 133, 122, 138, 150, 123, 139, 150, 135, 152, 162, 134, 150, 162, 133, 150, 162, 102, 118, 131, 115, 132, 145, 119, 136, 149, 125, 141, 154, 144, 160, 173, 157, 173, 185, 157, 173, 184, 151, 167, 179, 130, 146, 161,
   137, 153, 166, 160, 177, 188, 110, 125, 142, 141, 155, 172, 146, 162, 176, 161, 177, 189, 146, 162, 174, 159, 175, 187, 155, 171, 183, 173, 191, 200, 172, 189, 199, 171, 187, 196, 179, 195, 204, 182, 198, 206, 187, 203, 210, 189, 204, 211, 179, 195, 203, 181, 197, 204, 176, 191, 201, 161, 178, 187, 177, 193, 202,
   172, 187, 196, 175, 191, 199, 160, 177, 186, 173, 189, 198, 188, 204, 211, 180, 198, 206, 187, 203, 212, 190, 206, 214, 192, 207, 216, 198, 215, 223, 198, 215, 223, 198, 215, 222, 203, 219, 226, 213, 228, 236, 219, 233, 242, 211, 226, 234, 186, 203, 212, 195, 210, 219, 180, 197, 207, 199, 216, 225, 203, 220, 229,
   196, 213, 222, 206, 224, 232, 213, 230, 238, 208, 224, 231, 215, 231, 239, 218, 233, 241, 216, 232, 240, 221, 237, 244, 215, 228, 238, 213, 227, 237, 201, 216, 224, 206, 222, 229, 199, 214, 222, 196, 212, 218, 201, 215, 225, 192, 207, 215, 194, 210, 217, 196, 212, 219, 193, 208, 216, 201, 216, 223, 200, 214, 221,
   204, 217, 225, 200, 212, 221, 192, 205, 213, 187, 200, 208, 195, 208, 216, 190, 203, 211, 191, 204, 212, 165, 176, 184, 154, 166, 173, 127, 135, 142, 129, 137, 145,  93,  97,  98, 103, 110, 113, 133, 143, 150,  99, 106, 109,  57,  61,  62,  89,  94,  98,  61,  64,  66,  39,  44,  45,  32,  39,  40,  66,  74,  77,
    54,  62,  62,  83,  88,  91,  92,  97, 101,  77,  82,  84,  99, 107, 112, 115, 125, 132, 123, 133, 140, 119, 128, 136, 139, 151, 161, 153, 170, 183, 157, 175, 186, 156, 172, 187, 149, 165, 181, 156, 172, 189, 154, 170, 186, 138, 158, 173, 141, 158, 175, 141, 158, 175, 154, 173, 191, 153, 177, 195, 155, 179, 199,
   147, 171, 192, 145, 169, 191, 143, 167, 191, 130, 154, 182, 123, 148, 180, 121, 148, 180, 125, 153, 187, 128, 155, 187, 122, 150, 185, 128, 153, 183, 140, 152, 170, 154, 149, 159, 157, 139, 144, 166, 139, 142, 170, 131, 126, 177, 126, 107, 178, 123, 100, 183, 119,  93, 183, 117,  86, 185, 115,  82, 185, 110,  71,
   186, 109,  68, 186, 107,  59, 188, 107,  60, 185, 108,  56, 187, 103,  42, 188,  96,  22, 188,  93,  17, 191,  94,  17, 186,  93,  14, 180,  90,  12, 183,  90,   9, 188,  90,   3, 187,  89,   4, 187,  89,   4, 186,  89,   3, 186,  89,   2, 184,  86,   2, 183,  88,   1, 183,  88,   1, 184,  87,   1, 181,  85,   4,
   177,  85,   7, 175,  82,   8, 172,  82,  16, 171,  81,  16, 168,  80,  14, 166,  79,  13, 165,  78,  14, 162,  75,  10, 162,  75,   9, 160,  74,   8, 157,  71,   5, 156,  71,   6, 156,  70,   5, 154,  70,   5, 153,  71,   6, 154,  69,   5, 155,  71,   7, 154,  70,   5, 152,  69,   3, 156,  70,   3, 156,  71,   5,
   151,  68,   2, 148,  67,   3, 146,  66,   7, 145,  64,   9, 142,  62,  11, 138,  61,  10, 139,  63,  10, 138,  62,  11, 136,  59,  10, 136,  61,  10, 136,  60,  11, 133,  57,   4, 134,  58,   6, 135,  59,   6, 136,  59,   7, 138,  60,   5, 138,  60,   4, 140,  61,   5, 137,  60,   4, 134,  59,   3, 133,  59,   2,
    46,  43,  39,  38,  53,  56,  34,  64,  73,  44,  80,  94,  54,  97, 110,  66, 110, 126,  75, 119, 136,  79, 123, 140,  79, 123, 140,  79, 123, 139,  74, 119, 135,  70, 114, 131,  67, 111, 128,  67, 111, 127,  66, 110, 124,  64, 108, 122,  64, 108, 121,  61, 104, 117,  61, 102, 116,  59, 100, 114,  57,  95, 109,
    55,  94, 108,  56,  94, 107,  58,  94, 107,  56,  91, 105,  52,  86, 100,  51,  80,  95,  55,  80,  96,  51,  73,  89,  42,  58,  74,  47,  61,  77,  51,  66,  81,  59,  73,  86,  65,  77,  91,  76,  88, 101,  76,  92, 102,  95, 111, 120,  97, 113, 125,  81,  98, 111,  87, 103, 114, 106, 122, 134, 126, 144, 154,
   129, 148, 159, 120, 138, 149, 111, 127, 139, 114, 132, 143, 115, 133, 143, 120, 136, 147, 105, 123, 135, 108, 126, 137, 117, 133, 145, 114, 130, 144, 109, 125, 140, 145, 162, 172, 145, 161, 174, 141, 157, 170, 139, 155, 169, 139, 156, 169, 149, 165, 179, 125, 140, 156, 137, 154, 167, 145, 160, 175, 158, 174, 185,
   159, 175, 187, 161, 177, 190, 172, 187, 198, 172, 189, 199, 177, 193, 200, 178, 194, 204, 186, 201, 210, 184, 200, 207, 187, 203, 210, 186, 200, 208, 188, 204, 211, 190, 204, 213, 171, 186, 197, 169, 186, 195, 177, 193, 201, 184, 200, 207, 182, 197, 206, 176, 191, 200, 180, 196, 205, 177, 193, 203, 184, 200, 210,
   194, 208, 216, 193, 209, 216, 196, 211, 219, 196, 212, 220, 198, 214, 221, 205, 219, 227, 216, 231, 238, 213, 226, 234, 218, 231, 242, 200, 217, 224, 202, 218, 226, 191, 209, 216, 208, 225, 233, 202, 219, 228, 203, 219, 228, 211, 227, 236, 209, 225, 234, 221, 237, 245, 221, 236, 246, 222, 238, 245, 218, 231, 240,
   223, 238, 246, 217, 230, 238, 214, 229, 238, 203, 219, 226, 205, 220, 228, 195, 210, 219, 195, 210, 218, 197, 212, 221, 188, 203, 211, 192, 209, 215, 191, 208, 215, 211, 224, 232, 202, 218, 225, 205, 222, 229, 212, 226, 234, 204, 216, 225, 197, 210, 219, 199, 213, 221, 196, 209, 218, 200, 213, 222, 197, 209, 217,
   196, 211, 218, 187, 200, 207, 175, 187, 193, 165, 177, 184, 146, 157, 161, 174, 186, 191, 165, 178, 184, 136, 147, 153, 122, 129, 136, 125, 135, 141,  84,  89,  92,  70,  75,  76,  63,  69,  71,  81,  87,  90,  80,  87,  90, 107, 117, 120, 110, 117, 123, 105, 114, 121, 130, 139, 148, 142, 153, 162, 146, 160, 169,
   147, 161, 171, 158, 174, 187, 163, 179, 193, 160, 177, 192, 158, 174, 190, 151, 169, 185, 151, 167, 184, 147, 165, 181, 144, 163, 179, 154, 173, 190, 162, 180, 198, 161, 182, 200, 158, 181, 198, 157, 181, 201, 155, 179, 198, 152, 175, 196, 148, 172, 194, 142, 166, 193, 135, 161, 191, 135, 160, 193, 134, 162, 195,
   122, 150, 182, 122, 149, 181, 141, 152, 172, 156, 156, 169, 150, 139, 149, 168, 148, 154, 173, 151, 152, 171, 143, 142, 176, 140, 133, 178, 134, 120, 181, 121, 102, 182, 115,  83, 186, 112,  73, 188, 106,  59, 187, 106,  52, 190, 106,  47, 188, 104,  41, 190, 102,  36, 190, 101,  35, 192,  98,  28, 190,  94,  20,
   186,  93,  21, 181,  92,  23, 189,  94,  14, 189,  94,  11, 189,  92,   6, 188,  91,   6, 188,  90,   3, 186,  89,   2, 188,  91,   6, 185,  89,   2, 185,  90,   2, 183,  88,   1, 183,  88,   1, 178,  84,   3, 177,  84,   7, 173,  81,   8, 170,  80,  12, 168,  79,  14, 165,  78,  12, 164,  77,  11, 162,  75,  10,
   159,  72,   6, 158,  73,   5, 159,  73,  10, 156,  70,   7, 156,  71,   9, 156,  71,   9, 156,  72,   8, 156,  71,   6, 156,  71,   3, 154,  69,   3, 153,  68,   3, 154,  70,   4, 156,  71,   3, 157,  72,   4, 153,  68,   2, 150,  68,   4, 148,  67,   9, 145,  64,   9, 143,  63,   9, 139,  61,   8, 139,  61,  10,
   138,  61,   8, 136,  61,   9, 137,  60,  11, 134,  58,   8, 136,  60,   8, 135,  59,   7, 135,  60,   8, 138,  59,   5, 141,  62,   6, 140,  60,   5, 139,  60,   4, 139,  60,   5, 139,  60,   6, 137,  59,   4,  42,  48,  47,  36,  60,  65,  39,  75,  85,  50,  90, 103,  60, 105, 118,  72, 116, 133,  77, 121, 138,
    76, 120, 137,  77, 121, 139,  74, 118, 133,  68, 113, 127,  65, 109, 124,  66, 111, 126,  67, 109, 125,  64, 109, 123,  63, 106, 121,  64, 106, 119,  61, 104, 117,  61, 100, 114,  57,  96, 110,  54,  93, 105,  55,  92, 105,  53,  91, 103,  54,  90, 103,  52,  86,  99,  49,  80,  95,  50,  77,  92,  48,  74,  88,
    50,  70,  85,  53,  68,  85,  49,  64,  78,  63,  79,  93,  70,  85,  97,  83, 100, 111,  93, 110, 121,  86, 104, 115,  78,  96, 106,  86, 104, 114,  92, 109, 120,  97, 114, 124,  94, 113, 124,  96, 114, 125,  93, 111, 122,  96, 114, 124, 101, 118, 130,  95, 113, 124,  78,  95, 107,  97, 115, 126, 111, 128, 140,
    94, 112, 123, 106, 125, 135, 110, 128, 140, 111, 128, 140, 112, 129, 142, 127, 143, 157, 155, 171, 184, 124, 141, 154, 128, 145, 158, 120, 137, 150, 140, 156, 169, 120, 136, 151, 138, 154, 169, 140, 156, 170, 169, 185, 196, 163, 178, 190, 155, 169, 183, 174, 189, 200, 180, 196, 203, 178, 193, 202, 184, 199, 208,
   181, 196, 205, 190, 204, 211, 196, 209, 217, 191, 207, 216, 197, 211, 218, 181, 196, 204, 172, 189, 199, 190, 207, 214, 189, 206, 212, 187, 202, 210, 177, 192, 201, 182, 200, 207, 186, 202, 211, 177, 193, 203, 201, 214, 222, 192, 208, 215, 194, 210, 217, 195, 210, 217, 206, 220, 228, 203, 216, 224, 218, 231, 239,
   215, 230, 238, 218, 233, 241, 214, 227, 236, 208, 225, 232, 197, 215, 223, 207, 223, 232, 197, 214, 223, 201, 218, 226, 219, 231, 240, 218, 232, 241, 222, 236, 247, 223, 236, 245, 227, 239, 249, 225, 237, 247, 221, 236, 245, 216, 230, 240, 206, 222, 231, 201, 218, 226, 200, 216, 224, 190, 206, 213, 191, 206, 215,
   189, 204, 213, 194, 209, 218, 200, 216, 223, 199, 217, 224, 209, 224, 232, 209, 225, 232, 208, 224, 232, 213, 228, 236, 208, 221, 229, 206, 223, 230, 203, 219, 228, 200, 214, 223, 206, 222, 229, 201, 216, 223, 200, 216, 223, 197, 211, 219, 192, 203, 212, 195, 209, 217, 195, 210, 217, 196, 209, 216, 186, 198, 206,
   177, 189, 196, 176, 187, 195, 164, 176, 183, 139, 151, 157, 119, 127, 134, 116, 124, 130, 101, 109, 115, 115, 124, 130, 140, 151, 159, 135, 147, 154, 148, 159, 168, 159, 172, 181, 158, 173, 183, 157, 173, 186, 161, 177, 190, 163, 180, 193, 162, 179, 192, 154, 170, 186, 154, 170, 186, 154, 170, 186, 140, 156, 173,
   142, 160, 176, 152, 172, 189, 164, 183, 200, 166, 186, 203, 162, 182, 202, 157, 179, 199, 156, 179, 200, 157, 180, 202, 153, 176, 199, 152, 175, 200, 144, 166, 194, 140, 163, 194, 141, 168, 201, 142, 169, 201, 142, 168, 198, 141, 164, 188, 152, 160, 172, 159, 148, 159, 169, 150, 157, 171, 150, 155, 174, 152, 155,
   178, 156, 158, 174, 147, 148, 178, 134, 125, 178, 121, 100, 185, 119,  85, 191, 112,  69, 192, 108,  56, 191, 103,  44, 190, 101,  34, 192, 104,  32, 193, 100,  26, 192,  99,  25, 194,  99,  29, 185,  93,  24, 185,  94,  23, 189,  95,  16, 192,  96,  16, 192,  92,   9, 191,  93,   8, 189,  91,   4, 189,  91,   7,
   189,  92,   4, 186,  89,   2, 187,  90,   2, 185,  88,   1, 182,  88,   0, 183,  87,   1, 177,  85,   7, 176,  82,   9, 172,  81,  10, 169,  80,  11, 166,  78,  12, 164,  77,  11, 164,  77,  12, 162,  75,  11, 158,  71,   5, 158,  72,   7, 157,  71,   9, 157,  74,  13, 155,  72,  12, 153,  70,  10, 156,  73,  10,
   157,  71,   5, 157,  71,   4, 156,  72,   3, 155,  70,   4, 155,  71,   3, 156,  70,   3, 157,  72,   2, 155,  70,   3, 150,  69,   4, 149,  67,   9, 146,  65,   9, 147,  66,  11, 142,  64,  10, 140,  62,   9, 139,  61,   9, 138,  60,   9, 137,  60,  10, 137,  61,   9, 135,  60,   8, 135,  59,   7, 134,  58,   5,
   138,  59,   6, 143,  62,   5, 143,  63,   4, 140,  61,   4, 140,  61,   4, 139,  60,   3, 137,  60,   3,  37,  55,  57,  36,  68,  76,  47,  83,  96,  56,  99, 113,  67, 112, 126,  75, 119, 135,  75, 120, 136,  75, 119, 136,  71, 115, 132,  67, 112, 126,  63, 107, 122,  63, 107, 121,  63, 107, 121,  62, 105, 120,
    61, 103, 118,  61, 100, 115,  61, 100, 114,  59,  96, 111,  56,  93, 107,  54,  90, 103,  53,  89, 102,  51,  86,  98,  52,  87,  99,  50,  83,  97,  48,  78,  92,  48,  76,  87,  48,  74,  87,  46,  67,  81,  50,  69,  81,  60,  78,  91,  74,  92, 105,  80,  99, 111,  82, 100, 112,  75,  93, 103,  69,  86,  97,
    83, 101, 112,  88, 106, 115,  76,  94, 104,  74,  92, 103,  79,  97, 106,  74,  92, 102,  57,  74,  82,  52,  68,  76,  48,  64,  71,  74,  91, 101,  79,  97, 107,  84, 101, 109,  70,  88, 100,  77,  93, 104,  87, 105, 115,  74,  92, 103,  74,  91, 103,  91, 108, 121, 104, 121, 131, 105, 121, 135, 113, 130, 141,
   143, 162, 170, 131, 147, 159, 120, 137, 149, 137, 154, 167, 116, 133, 147, 113, 129, 145, 131, 146, 161, 137, 152, 166, 163, 180, 189, 152, 169, 181, 167, 183, 193, 171, 186, 195, 171, 188, 197, 172, 188, 197, 173, 189, 197, 185, 198, 207, 196, 211, 219, 194, 209, 217, 195, 210, 219, 195, 209, 217, 178, 196, 204,
   193, 210, 217, 195, 210, 217, 193, 206, 215, 185, 199, 208, 179, 196, 205, 195, 210, 218, 182, 199, 207, 203, 217, 224, 195, 211, 218, 195, 208, 216, 201, 214, 222, 209, 221, 229, 202, 215, 223, 214, 228, 235, 222, 235, 243, 223, 236, 243, 221, 236, 245, 218, 231, 239, 211, 226, 235, 204, 221, 229, 200, 217, 226,
   206, 219, 227, 223, 234, 245, 222, 237, 244, 222, 235, 244, 219, 233, 242, 225, 239, 247, 221, 233, 243, 219, 230, 240, 217, 233, 242, 209, 224, 232, 198, 213, 221, 187, 203, 212, 181, 199, 208, 192, 209, 217, 191, 208, 216, 197, 213, 220, 200, 217, 225, 206, 224, 232, 215, 230, 239, 214, 230, 238, 211, 225, 236,
   218, 231, 239, 209, 224, 233, 208, 221, 229, 211, 224, 234, 205, 222, 230, 206, 221, 229, 201, 215, 224, 200, 217, 224, 198, 211, 219, 202, 215, 222, 204, 218, 226, 209, 224, 231, 205, 218, 227, 200, 213, 221, 198, 212, 219, 196, 209, 217, 188, 201, 209, 167, 179, 187, 166, 177, 185, 157, 170, 177, 145, 155, 163,
   159, 170, 179, 163, 175, 182, 163, 179, 187, 169, 185, 195, 171, 186, 196, 166, 183, 195, 161, 177, 189, 155, 171, 185, 166, 183, 197, 164, 180, 194, 155, 171, 187, 151, 167, 182, 150, 166, 181, 144, 160, 173, 153, 170, 185, 161, 181, 197, 168, 186, 203, 163, 184, 201, 160, 182, 200, 159, 181, 199, 155, 177, 200,
   150, 172, 198, 149, 173, 197, 151, 174, 199, 146, 170, 200, 140, 165, 196, 135, 162, 195, 133, 162, 193, 148, 172, 198, 155, 174, 194, 159, 170, 185, 160, 162, 174, 169, 165, 174, 170, 161, 170, 173, 156, 161, 172, 148, 147, 176, 142, 142, 175, 137, 134, 183, 130, 122, 184, 119,  88, 189, 109,  61, 194, 110,  55,
   193, 104,  45, 195, 103,  35, 195, 101,  30, 195, 101,  27, 194, 100,  27, 186,  97,  34, 191,  98,  25, 193,  98,  19, 191,  97,  16, 193,  95,  14, 191,  93,  13, 190,  91,   8, 190,  92,   6, 188,  91,   6, 189,  92,   5, 188,  92,   5, 184,  90,   2, 186,  90,   3, 182,  88,   2, 178,  85,   4, 175,  83,  11,
   174,  83,  12, 170,  80,  10, 169,  80,  13, 167,  78,  13, 164,  77,  10, 164,  77,  13, 162,  75,  10, 161,  74,  10, 158,  72,   6, 157,  72,   8, 155,  72,  10, 155,  70,  10, 157,  74,  13, 156,  73,  14, 158,  72,   7, 157,  73,   5, 157,  72,   4, 157,  72,   4, 156,  70,   3, 158,  71,   3, 159,  73,   4,
   156,  70,   2, 152,  68,   3, 148,  66,   7, 148,  67,  10, 146,  65,   8, 142,  63,   9, 140,  63,  11, 141,  61,  10, 139,  62,  12, 137,  60,  11, 137,  61,  10, 136,  60,   9, 138,  59,   9, 138,  57,   7, 140,  60,   8, 142,  62,   5, 145,  65,   3, 144,  64,   5, 143,  63,   4, 140,  59,   2, 139,  60,   2,
    35,  63,  67,  40,  76,  87,  52,  92, 106,  62, 105, 121,  72, 117, 132,  75, 119, 136,  72, 117, 132,  70, 114, 131,  66, 110, 125,  60, 103, 118,  59, 103, 117,  58, 102, 115,  57,  99, 114,  57,  97, 111,  57,  94, 109,  58,  95, 109,  58,  93, 107,  54,  89, 102,  51,  87,  99,  48,  83,  96,  50,  83,  96,
    48,  82,  92,  48,  79,  90,  47,  76,  88,  46,  72,  85,  45,  72,  83,  50,  74,  87,  56,  79,  91,  69,  90, 101,  67,  88,  99,  54,  73,  84,  69,  87, 100,  64,  83,  94,  72,  89, 101,  75,  95, 104,  70,  88,  98,  65,  82,  91,  61,  79,  87,  59,  77,  85,  56,  75,  81,  47,  66,  73,  50,  66,  73,
    46,  63,  70,  51,  67,  74,  51,  67,  74,  57,  74,  82,  66,  83,  91,  77,  94, 104,  70,  87,  96,  65,  84,  91,  82,  99, 109,  67,  83,  94,  66,  83,  93,  80,  97, 107,  99, 116, 129,  98, 116, 127,  97, 115, 125, 124, 143, 153, 128, 145, 156, 118, 136, 147, 125, 142, 155,  89, 107, 120, 108, 124, 139,
   126, 143, 156, 138, 155, 167, 157, 174, 186, 155, 171, 182, 168, 185, 194, 159, 176, 185, 162, 179, 188, 167, 183, 190, 175, 191, 200, 185, 199, 208, 198, 213, 220, 197, 213, 220, 201, 215, 223, 188, 204, 212, 198, 212, 221, 194, 207, 215, 197, 210, 218, 206, 218, 226, 189, 205, 213, 204, 221, 227, 198, 213, 220,
   205, 218, 226, 205, 220, 227, 197, 212, 220, 199, 214, 221, 213, 224, 232, 201, 214, 222, 223, 236, 244, 227, 239, 247, 220, 233, 241, 221, 234, 242, 222, 235, 242, 222, 237, 245, 209, 225, 233, 201, 217, 225, 203, 217, 227, 224, 239, 247, 219, 231, 239, 219, 233, 241, 224, 235, 245, 216, 229, 238, 220, 232, 242,
   220, 233, 242, 213, 229, 236, 210, 225, 234, 199, 215, 222, 186, 200, 209, 183, 198, 207, 186, 204, 212, 194, 210, 218, 194, 210, 218, 198, 215, 224, 208, 226, 233, 215, 231, 238, 215, 229, 238, 218, 232, 240, 224, 236, 245, 216, 231, 241, 211, 227, 234, 222, 234, 244, 215, 230, 239, 211, 226, 233, 203, 219, 227,
   203, 220, 227, 209, 224, 231, 206, 221, 228, 208, 223, 231, 209, 223, 231, 210, 225, 233, 208, 220, 229, 207, 221, 228, 208, 223, 231, 205, 221, 228, 197, 211, 219, 185, 198, 206, 184, 199, 206, 174, 190, 197, 174, 191, 200, 175, 189, 199, 171, 186, 198, 175, 191, 203, 181, 197, 209, 177, 195, 206, 162, 178, 191,
   161, 177, 192, 173, 190, 202, 164, 179, 195, 150, 167, 183, 152, 167, 181, 153, 169, 182, 158, 175, 188, 164, 183, 198, 166, 185, 201, 166, 185, 203, 165, 185, 202, 159, 182, 201, 155, 177, 199, 152, 175, 197, 151, 173, 198, 149, 173, 197, 150, 173, 199, 143, 168, 198, 135, 162, 193, 134, 160, 194, 145, 174, 199,
   158, 180, 205, 163, 184, 201, 151, 164, 180, 167, 175, 188, 168, 172, 183, 169, 170, 180, 169, 167, 176, 172, 155, 162, 172, 142, 139, 179, 134, 125, 185, 129, 116, 185, 132, 117, 189, 121,  85, 191, 105,  47, 195, 105,  46, 195, 106,  43, 193, 102,  35, 190, 100,  31, 184,  96,  30, 194, 100,  26, 195,  99,  22,
   196,  98,  16, 195,  97,  14, 194,  95,  13, 191,  94,  13, 192,  94,  11, 190,  92,   9, 189,  92,   7, 187,  90,   3, 187,  89,   2, 185,  89,   2, 183,  88,   3, 178,  86,   3, 176,  84,   9, 173,  81,  11, 170,  80,  12, 168,  79,  13, 166,  79,  13, 166,  79,  13, 166,  79,  13, 164,  77,  13, 162,  76,  11,
   160,  74,   8, 162,  75,  11, 158,  72,   6, 156,  72,   7, 156,  70,  10, 157,  71,  11, 157,  71,   9, 159,  74,   9, 156,  73,   6, 157,  71,   4, 157,  71,   3, 161,  74,   7, 160,  73,   4, 161,  75,   4, 157,  71,   1, 153,  68,   2, 149,  68,   5, 147,  64,   7, 144,  63,   6, 143,  63,   8, 141,  64,  11,
   142,  63,  12, 139,  62,  11, 140,  63,  13, 138,  61,  12, 138,  62,  10, 138,  60,  12, 138,  59,   8, 142,  62,   7, 145,  64,   3, 145,  65,   2, 144,  63,   4, 144,  63,   2, 142,  62,   3, 140,  59,   1,  35,  68,  77,  47,  86,  99,  58, 101, 115,  68, 111, 127,  73, 116, 134,  72, 117, 133,  68, 112, 127,
    62, 105, 122,  57,  99, 113,  54,  96, 111,  53,  93, 108,  52,  92, 105,  52,  89, 103,  52,  88, 102,  52,  87, 100,  52,  87, 101,  52,  86,  99,  47,  81,  93,  49,  81,  93,  47,  77,  90,  47,  78,  89,  47,  76,  88,  44,  73,  83,  44,  71,  81,  45,  72,  83,  50,  74,  86,  53,  77,  87,  53,  74,  85,
    50,  67,  80,  58,  77,  88,  60,  81,  89,  63,  83,  92,  66,  86,  94,  60,  78,  88,  55,  72,  80,  49,  67,  74,  44,  62,  69,  49,  66,  74,  48,  66,  73,  46,  64,  71,  49,  66,  73,  50,  69,  76,  53,  71,  78,  54,  71,  78,  53,  71,  78,  54,  72,  79,  53,  70,  77,  60,  78,  85,  62,  79,  88,
    67,  85,  93,  61,  78,  87,  71,  88,  97,  64,  81,  90,  59,  76,  84,  69,  87,  97,  81,  99, 109,  84, 100, 111,  77,  95, 106, 114, 132, 141, 117, 137, 148, 117, 136, 145,  97, 115, 126, 100, 118, 130, 103, 120, 133, 119, 137, 148, 130, 148, 159, 144, 160, 173, 153, 170, 180, 149, 166, 177, 151, 167, 179,
   158, 175, 184, 167, 183, 193, 173, 190, 198, 183, 200, 208, 197, 213, 221, 195, 212, 219, 201, 216, 223, 198, 211, 220, 187, 201, 209, 193, 209, 216, 205, 219, 226, 203, 219, 226, 203, 216, 223, 203, 217, 225, 204, 217, 225, 215, 227, 236, 206, 221, 228, 207, 220, 228, 211, 226, 233, 207, 222, 229, 222, 236, 244,
   221, 233, 242, 221, 236, 245, 222, 236, 245, 226, 239, 247, 224, 239, 246, 215, 231, 238, 213, 229, 236, 210, 226, 234, 222, 236, 245, 210, 225, 234, 222, 236, 244, 220, 232, 241, 212, 228, 235, 216, 231, 238, 222, 233, 242, 212, 225, 233, 212, 228, 236, 213, 227, 234, 195, 211, 219, 191, 207, 215, 185, 201, 210,
   198, 215, 224, 199, 216, 224, 210, 224, 233, 213, 228, 237, 223, 236, 246, 219, 234, 243, 225, 240, 248, 227, 240, 249, 220, 232, 242, 220, 234, 243, 218, 233, 241, 217, 233, 242, 216, 232, 240, 213, 228, 237, 216, 231, 240, 207, 222, 231, 218, 233, 242, 212, 228, 235, 213, 225, 235, 217, 232, 240, 214, 225, 235,
   213, 230, 237, 213, 228, 236, 215, 230, 239, 206, 223, 230, 199, 215, 222, 198, 214, 223, 189, 204, 213, 190, 207, 216, 186, 201, 212, 176, 191, 203, 182, 197, 209, 186, 203, 215, 181, 198, 212, 168, 182, 198, 176, 193, 205, 170, 187, 200, 159, 175, 189, 152, 168, 183, 158, 174, 186, 168, 186, 197, 172, 190, 203,
   167, 186, 201, 171, 188, 205, 164, 184, 201, 158, 180, 199, 154, 177, 198, 155, 177, 199, 160, 181, 205, 154, 177, 201, 154, 178, 200, 148, 171, 197, 147, 170, 198, 145, 172, 200, 150, 174, 201, 159, 181, 206, 161, 181, 201, 157, 173, 189, 169, 180, 196, 169, 171, 183, 168, 168, 179, 169, 168, 178, 169, 166, 176,
   172, 157, 168, 175, 157, 165, 174, 146, 150, 181, 128, 115, 186, 123, 104, 186, 124, 104, 189, 118,  87, 192, 108,  51, 193, 104,  43, 190, 104,  45, 187, 100,  35, 197, 102,  25, 196, 101,  21, 196,  99,  20, 194,  99,  15, 195,  99,  15, 194,  95,  13, 191,  94,  13, 190,  93,  10, 189,  91,   9, 187,  90,   4,
   186,  89,   3, 185,  90,   2, 181,  88,   4, 179,  85,   8, 175,  84,  12, 171,  80,  12, 168,  80,  13, 165,  75,  10, 166,  79,  13, 165,  78,  15, 165,  77,  13, 163,  75,  11, 161,  75,   9, 162,  75,  10, 161,  74,   8, 162,  77,  12, 159,  73,   7, 160,  73,   9, 159,  75,  12, 158,  72,   6, 158,  72,  10,
   161,  75,  11, 160,  74,   8, 160,  73,   6, 160,  74,   4, 159,  72,   3, 163,  75,   5, 161,  73,   3, 159,  72,   2, 155,  69,   3, 152,  68,   7, 149,  68,   9, 147,  67,   8, 143,  64,   8, 143,  65,  12, 142,  64,  10, 143,  64,  11, 140,  62,   9, 138,  62,  10, 139,  60,   9, 139,  61,   8, 139,  61,   7,
   141,  62,   5, 145,  65,   2, 146,  66,   2, 144,  64,   2, 145,  64,   3, 142,  61,   3, 142,  62,   3,  42,  76,  87,  52,  93, 107,  60, 104, 119,  67, 110, 125,  65, 108, 124,  63, 105, 121,  59, 101, 116,  55,  94, 109,  51,  89, 103,  48,  85,  99,  49,  84,  97,  46,  81,  94,  44,  79,  93,  45,  79,  92,
    47,  80,  92,  48,  79,  91,  46,  77,  89,  45,  74,  86,  44,  73,  84,  45,  72,  83,  45,  72,  83,  43,  69,  80,  41,  68,  78,  43,  67,  79,  43,  67,  76,  43,  65,  73,  39,  58,  69,  49,  68,  77,  53,  73,  84,  53,  72,  82,  54,  73,  82,  49,  68,  78,  45,  64,  72,  42,  60,  68,  41,  59,  66,
    43,  61,  68,  45,  63,  70,  44,  62,  69,  45,  63,  70,  48,  66,  73,  49,  67,  74,  49,  67,  74,  51,  69,  76,  51,  69,  76,  53,  71,  78,  51,  69,  76,  52,  70,  77,  51,  69,  75,  54,  72,  79,  52,  70,  77,  60,  76,  84,  58,  75,  82,  61,  78,  86,  60,  77,  85,  54,  73,  80,  64,  82,  90,
    72,  89,  98,  67,  84,  93,  76,  93, 102,  93, 110, 120,  89, 108, 118,  94, 112, 123,  87, 105, 116,  93, 111, 122,  93, 111, 121, 112, 130, 141, 117, 135, 146, 129, 147, 157, 139, 157, 168, 139, 157, 168, 145, 161, 172, 154, 171, 180, 166, 183, 192, 174, 190, 197, 186, 203, 211, 190, 206, 213, 199, 214, 222,
   193, 209, 216, 200, 213, 220, 196, 213, 220, 191, 206, 213, 198, 212, 221, 202, 217, 226, 201, 216, 224, 213, 224, 232, 212, 228, 235, 210, 224, 232, 216, 229, 237, 220, 233, 241, 214, 228, 235, 212, 226, 234, 218, 232, 240, 226, 239, 247, 225, 240, 248, 228, 241, 249, 227, 239, 247, 215, 230, 239, 217, 231, 240,
   214, 228, 237, 215, 230, 238, 206, 222, 229, 223, 236, 245, 219, 231, 239, 218, 232, 241, 217, 231, 238, 223, 236, 246, 212, 225, 233, 217, 229, 238, 217, 230, 238, 210, 225, 233, 205, 222, 229, 206, 221, 230, 206, 223, 231, 198, 216, 224, 209, 225, 232, 210, 226, 234, 225, 238, 248, 224, 236, 246, 227, 241, 250,
   227, 239, 247, 220, 234, 244, 226, 238, 248, 222, 236, 245, 222, 236, 246, 218, 234, 241, 217, 232, 241, 217, 232, 241, 214, 229, 238, 222, 237, 246, 212, 226, 235, 219, 231, 241, 215, 229, 238, 221, 234, 243, 222, 236, 245, 214, 231, 240, 213, 229, 238, 210, 226, 235, 208, 222, 230, 205, 220, 229, 204, 220, 227,
   192, 209, 218, 190, 206, 216, 185, 201, 213, 191, 207, 219, 193, 209, 221, 176, 193, 206, 173, 190, 203, 177, 194, 207, 163, 178, 193, 160, 177, 188, 173, 189, 201, 169, 186, 198, 179, 195, 209, 175, 194, 207, 166, 184, 199, 167, 184, 202, 167, 187, 204, 160, 181, 200, 157, 180, 200, 159, 181, 202, 160, 182, 204,
   164, 186, 210, 165, 187, 211, 158, 182, 207, 156, 180, 205, 156, 181, 208, 154, 178, 201, 159, 180, 201, 162, 173, 188, 156, 165, 178, 165, 168, 181, 168, 171, 182, 168, 168, 179, 172, 165, 177, 170, 161, 172, 170, 158, 169, 171, 157, 167, 174, 151, 155, 174, 141, 142, 179, 128, 115, 185, 122, 105, 184, 119,  99,
   189, 120,  85, 186, 105,  61, 191, 104,  48, 196, 105,  35, 196, 101,  22, 196,  99,  18, 197,  99,  20, 196,  98,  14, 196,  99,  16, 195,  98,  15, 191,  94,  12, 190,  93,   9, 189,  93,   9, 185,  91,   6, 182,  88,   4, 180,  86,   6, 175,  83,  10, 173,  83,  15, 169,  81,  15, 167,  80,  15, 165,  79,  14,
   165,  78,  13, 164,  77,  12, 165,  78,  16, 164,  77,  14, 164,  77,  12, 162,  75,  10, 163,  75,  10, 160,  73,   8, 160,  73,  10, 158,  71,   5, 160,  74,   8, 159,  73,   8, 158,  72,   6, 160,  73,   8, 162,  74,   9, 160,  73,   6, 160,  74,   5, 162,  75,   6, 162,  76,   6, 164,  76,   6, 164,  76,   6,
   160,  73,   3, 156,  70,   2, 151,  68,   5, 150,  70,   8, 149,  67,   9, 147,  67,   9, 146,  66,   9, 145,  66,  10, 144,  65,   9, 143,  64,   8, 140,  63,   9, 140,  62,   9, 139,  61,   6, 142,  62,   7, 144,  66,   7, 145,  64,   2, 147,  65,   2, 146,  66,   1, 146,  64,   3, 145,  63,   2, 142,  61,   3,
    45,  81,  92,  49,  91, 104,  57, 101, 115,  60, 103, 117,  57,  98, 112,  55,  94, 108,  51,  88, 102,  48,  83,  97,  42,  78,  90,  41,  76,  87,  41,  75,  85,  40,  72,  84,  40,  71,  84,  43,  73,  84,  45,  73,  83,  42,  70,  81,  40,  68,  79,  41,  68,  79,  41,  66,  77,  41,  66,  77,  42,  67,  76,
    39,  65,  74,  40,  62,  73,  38,  60,  69,  39,  60,  68,  42,  64,  71,  43,  64,  72,  42,  61,  69,  43,  61,  69,  41,  60,  68,  39,  58,  66,  38,  57,  65,  39,  58,  66,  41,  59,  66,  42,  60,  67,  45,  63,  70,  45,  63,  70,  45,  64,  71,  47,  65,  72,  48,  66,  73,  49,  67,  74,  51,  69,  76,
    51,  69,  76,  49,  67,  74,  48,  66,  73,  49,  67,  72,  46,  65,  71,  47,  65,  70,  46,  63,  69,  44,  63,  68,  46,  62,  68,  47,  63,  70,  44,  61,  67,  47,  64,  71,  50,  68,  75,  50,  67,  73,  55,  71,  78,  61,  78,  85,  56,  71,  79,  67,  85,  92,  75,  93, 101,  81, 100, 108,  81,  99, 110,
    78,  96, 105,  77,  94, 104,  91, 109, 119, 103, 122, 131, 113, 132, 140, 120, 138, 149, 128, 146, 157, 137, 155, 165, 151, 168, 177, 157, 174, 183, 167, 184, 192, 180, 197, 204, 179, 195, 204, 190, 205, 214, 195, 212, 218, 190, 204, 213, 204, 217, 225, 201, 217, 224, 207, 220, 230, 197, 214, 220, 194, 210, 217,
   205, 220, 228, 213, 228, 235, 216, 227, 237, 213, 227, 234, 224, 236, 244, 220, 233, 241, 210, 223, 231, 226, 240, 247, 224, 237, 245, 230, 243, 250, 223, 236, 245, 225, 240, 249, 216, 232, 240, 219, 233, 242, 203, 219, 229, 212, 228, 235, 201, 217, 224, 214, 228, 236, 213, 229, 236, 217, 229, 239, 212, 226, 233,
   217, 229, 239, 210, 225, 232, 218, 230, 238, 217, 230, 238, 215, 229, 236, 211, 227, 234, 213, 228, 236, 210, 223, 234, 208, 223, 231, 213, 228, 236, 212, 227, 235, 220, 235, 243, 228, 240, 248, 221, 234, 243, 229, 243, 250, 224, 237, 247, 225, 238, 246, 229, 244, 251, 224, 236, 245, 222, 237, 246, 215, 231, 240,
   222, 234, 243, 228, 242, 250, 226, 240, 247, 226, 239, 248, 221, 233, 243, 221, 233, 242, 222, 234, 243, 226, 239, 247, 218, 231, 241, 217, 232, 241, 213, 227, 236, 214, 228, 237, 210, 226, 235, 206, 223, 232, 206, 222, 234, 195, 212, 220, 193, 209, 221, 197, 213, 225, 193, 209, 221, 178, 194, 206, 175, 190, 203,
   179, 195, 207, 158, 173, 188, 171, 187, 199, 180, 197, 208, 183, 201, 213, 180, 197, 210, 170, 190, 205, 166, 184, 201, 165, 183, 200, 164, 184, 201, 163, 182, 201, 163, 182, 202, 166, 187, 208, 168, 190, 212, 168, 192, 215, 167, 188, 212, 164, 188, 212, 164, 188, 212, 164, 188, 214, 159, 183, 204, 159, 177, 193,
   149, 162, 180, 168, 179, 195, 170, 179, 192, 168, 174, 185, 170, 174, 188, 169, 167, 177, 171, 161, 173, 167, 156, 166, 170, 155, 165, 173, 155, 162, 171, 146, 149, 179, 133, 128, 177, 123, 107, 179, 122, 106, 172, 115,  95, 190, 112,  77, 192, 108,  56, 195, 106,  42, 196, 102,  20, 199, 103,  21, 199, 102,  21,
   197,  98,  17, 194,  98,  15, 192,  93,  11, 191,  95,  12, 188,  90,   7, 182,  88,   6, 181,  88,   8, 178,  86,  10, 174,  84,  14, 174,  85,  19, 167,  80,  16, 165,  78,  14, 166,  79,  18, 166,  78,  17, 164,  77,  11, 162,  76,  15, 164,  76,  14, 166,  78,  16, 162,  75,  10, 161,  74,   9, 159,  72,   6,
   162,  74,   9, 160,  75,   8, 162,  74,   9, 159,  73,   6, 160,  73,   7, 160,  74,   8, 161,  74,   9, 160,  73,   7, 161,  74,   7, 164,  76,  10, 164,  75,   7, 166,  77,   7, 163,  75,   5, 164,  76,   6, 161,  75,   6, 157,  71,   2, 154,  70,   4, 150,  69,   5, 149,  69,   6, 148,  68,   9, 148,  67,  10,
   146,  66,   8, 145,  66,   9, 143,  62,   5, 143,  64,  10, 141,  62,   8, 144,  63,   8, 145,  64,   8, 143,  62,   4, 147,  64,   4, 149,  66,   1, 148,  66,   1, 147,  64,   2, 146,  64,   3, 144,  63,   3,  42,  78,  91,  48,  87, 101,  54,  92, 106,  53,  90, 104,  50,  85, 100,  46,  81,  95,  42,  75,  89,
    40,  72,  85,  38,  69,  80,  36,  67,  77,  37,  65,  75,  38,  66,  76,  38,  65,  75,  38,  65,  75,  37,  64,  73,  36,  62,  71,  36,  62,  71,  37,  62,  70,  37,  63,  70,  38,  61,  70,  37,  59,  69,  39,  60,  69,  36,  58,  66,  37,  58,  65,  35,  55,  63,  36,  55,  62,  35,  54,  62,  37,  56,  63,
    39,  57,  64,  38,  57,  64,  38,  57,  64,  40,  59,  66,  40,  59,  66,  42,  61,  68,  44,  63,  70,  43,  62,  69,  45,  64,  71,  45,  64,  71,  48,  66,  73,  49,  67,  74,  50,  68,  75,  49,  67,  74,  49,  66,  74,  48,  66,  73,  46,  64,  71,  45,  64,  69,  43,  63,  68,  43,  59,  65,  42,  58,  64,
    40,  56,  62,  39,  56,  62,  38,  53,  59,  39,  54,  59,  38,  53,  59,  40,  54,  60,  40,  55,  60,  43,  59,  65,  43,  60,  67,  49,  66,  73,  45,  64,  70,  52,  69,  76,  63,  81,  88,  62,  79,  87,  62,  80,  88,  64,  82,  89,  66,  85,  93,  87, 105, 114,  93, 112, 120, 112, 129, 141, 122, 140, 149,
   132, 151, 160, 150, 168, 176, 161, 178, 186, 157, 174, 183, 176, 193, 201, 181, 198, 207, 183, 200, 208, 195, 210, 218, 192, 207, 215, 196, 211, 220, 201, 216, 224, 203, 219, 227, 198, 214, 221, 195, 211, 219, 201, 214, 224, 211, 226, 235, 217, 230, 240, 226, 239, 247, 223, 235, 243, 224, 237, 245, 217, 230, 238,
   225, 239, 246, 222, 236, 245, 229, 243, 250, 227, 239, 248, 226, 242, 251, 221, 236, 245, 219, 233, 243, 199, 215, 224, 214, 229, 238, 202, 219, 226, 205, 221, 228, 216, 230, 239, 219, 232, 240, 216, 232, 239, 217, 229, 238, 214, 228, 235, 217, 229, 238, 219, 231, 239, 220, 233, 241, 218, 231, 239, 217, 230, 238,
   217, 231, 239, 215, 231, 238, 214, 230, 238, 215, 228, 238, 214, 227, 237, 221, 235, 245, 218, 232, 241, 228, 241, 250, 230, 242, 250, 224, 236, 244, 231, 245, 252, 226, 237, 247, 223, 236, 246, 219, 233, 242, 227, 241, 249, 226, 239, 247, 230, 243, 251, 225, 238, 247, 223, 235, 244, 227, 240, 247, 229, 241, 249,
   225, 237, 246, 223, 235, 244, 221, 234, 242, 218, 231, 240, 218, 232, 241, 218, 234, 241, 213, 227, 236, 205, 219, 232, 197, 213, 224, 199, 215, 227, 197, 213, 226, 191, 207, 219, 182, 199, 210, 174, 190, 203, 158, 174, 185, 170, 186, 198, 180, 197, 206, 186, 202, 214, 185, 202, 215, 174, 190, 206, 169, 186, 201,
   169, 187, 204, 167, 185, 202, 165, 185, 203, 167, 187, 206, 170, 189, 209, 168, 189, 210, 171, 195, 215, 172, 194, 215, 167, 189, 213, 167, 190, 216, 168, 192, 216, 164, 188, 213, 169, 191, 211, 163, 179, 196, 168, 181, 198, 175, 186, 202, 173, 182, 196, 176, 179, 189, 170, 167, 178, 171, 161, 172, 173, 161, 172,
   168, 153, 162, 168, 152, 162, 170, 152, 159, 171, 147, 152, 175, 139, 141, 181, 122, 110, 174, 116,  97, 184, 119,  94, 189, 110,  72, 193, 108,  58, 195, 109,  52, 195, 104,  26, 199, 103,  24, 197,  99,  21, 198, 100,  18, 193,  97,  15, 191,  94,  14, 187,  92,  10, 184,  90,  10, 180,  89,  18, 177,  86,  18,
   174,  84,  20, 172,  82,  23, 170,  83,  21, 166,  79,  16, 163,  78,  16, 162,  76,  14, 161,  74,  10, 161,  74,   9, 161,  77,  13, 163,  76,  12, 161,  74,   9, 163,  77,  14, 162,  75,   7, 163,  76,  11, 160,  72,   6, 160,  74,   8, 162,  74,   9, 161,  74,   8, 161,  75,  10, 161,  74,   8, 163,  77,  11,
   164,  76,  10, 165,  76,   9, 168,  77,  12, 168,  77,   8, 167,  79,   9, 166,  79,   9, 164,  75,   5, 163,  76,   9, 158,  72,   2, 156,  70,   3, 153,  71,   5, 152,  70,   9, 149,  67,   9, 149,  68,   9, 147,  66,   8, 148,  67,  10, 147,  65,   8, 145,  63,   8, 144,  63,   8, 145,  63,   8, 146,  65,   8,
   146,  66,   6, 148,  65,   3, 152,  67,   1, 151,  67,   1, 147,  64,   1, 147,  64,   3, 147,  64,   3,  39,  74,  85,  45,  79,  92,  45,  79,  94,  43,  77,  91,  41,  73,  87,  40,  70,  83,  36,  65,  76,  34,  62,  72,  32,  57,  69,  30,  57,  67,  31,  57,  67,  32,  58,  67,  34,  60,  68,  33,  56,  64,
    33,  56,  64,  33,  56,  64,  35,  55,  63,  36,  57,  65,  36,  57,  65,  36,  57,  64,  36,  56,  64,  35,  56,  63,  37,  57,  64,  35,  55,  62,  36,  54,  62,  36,  55,  62,  35,  54,  61,  37,  56,  63,  39,  58,  65,  39,  58,  65,  39,  58,  65,  41,  59,  66,  41,  60,  67,  42,  61,  68,  44,  63,  70,
    42,  61,  68,  45,  64,  71,  46,  65,  72,  49,  67,  74,  47,  67,  74,  48,  66,  73,  48,  66,  71,  47,  66,  72,  45,  64,  70,  44,  62,  68,  42,  60,  65,  42,  58,  65,  39,  55,  62,  40,  56,  62,  38,  53,  59,  39,  53,  59,  37,  52,  56,  35,  49,  54,  34,  49,  55,  34,  48,  54,  35,  49,  55,
    36,  50,  55,  36,  51,  57,  38,  53,  60,  38,  54,  60,  41,  56,  62,  42,  59,  65,  49,  67,  73,  48,  66,  73,  54,  72,  80,  60,  78,  84,  75,  92, 101,  91, 109, 116, 108, 126, 138, 127, 145, 156, 135, 153, 164, 150, 167, 176, 162, 178, 188, 164, 181, 190, 171, 189, 196, 178, 195, 202, 189, 203, 211,
   192, 207, 215, 192, 208, 215, 190, 205, 214, 213, 228, 236, 202, 217, 226, 198, 214, 222, 198, 214, 222, 205, 218, 228, 207, 223, 232, 216, 228, 237, 220, 233, 241, 225, 238, 246, 225, 238, 247, 227, 240, 248, 214, 227, 234, 213, 227, 237, 225, 240, 247, 230, 244, 250, 231, 246, 252, 220, 235, 244, 222, 234, 244,
   201, 217, 226, 207, 222, 231, 200, 216, 223, 198, 214, 222, 207, 223, 230, 215, 228, 236, 212, 225, 234, 214, 226, 236, 217, 230, 237, 213, 228, 235, 217, 231, 239, 217, 230, 239, 221, 232, 241, 220, 232, 239, 223, 235, 243, 227, 238, 246, 218, 233, 242, 217, 229, 237, 218, 231, 241, 213, 227, 236, 222, 232, 242,
   227, 240, 248, 227, 241, 249, 227, 239, 248, 227, 240, 247, 221, 234, 243, 219, 233, 241, 228, 239, 249, 228, 243, 250, 231, 247, 254, 228, 240, 249, 221, 235, 243, 224, 237, 245, 228, 241, 250, 226, 239, 247, 228, 239, 247, 227, 239, 248, 227, 239, 247, 223, 236, 245, 221, 233, 242, 226, 238, 247, 223, 235, 244,
   215, 230, 239, 200, 217, 226, 206, 222, 230, 194, 210, 221, 188, 203, 215, 179, 195, 207, 175, 191, 203, 180, 196, 207, 191, 208, 219, 187, 204, 215, 188, 204, 217, 175, 192, 204, 172, 190, 205, 174, 191, 207, 170, 190, 205, 171, 189, 206, 170, 190, 208, 171, 191, 209, 178, 197, 217, 179, 201, 220, 172, 196, 216,
   169, 192, 213, 171, 194, 216, 169, 192, 217, 170, 194, 218, 171, 194, 213, 177, 193, 209, 165, 178, 192, 175, 183, 196, 175, 178, 189, 177, 176, 186, 179, 178, 188, 173, 170, 181, 176, 165, 175, 171, 154, 159, 175, 157, 163, 174, 150, 158, 174, 151, 161, 174, 146, 152, 167, 134, 136, 177, 123, 110, 189, 117,  89,
   187, 117,  85, 189, 110,  71, 193, 106,  56, 194, 105,  45, 195, 104,  33, 195, 101,  23, 196,  99,  24, 193,  96,  21, 189,  94,  18, 185,  91,  16, 180,  89,  19, 176,  88,  22, 175,  87,  25, 172,  82,  27, 171,  82,  26, 169,  80,  24, 169,  80,  22, 167,  82,  20, 164,  78,  18, 161,  77,  12, 160,  74,  10,
   160,  75,  10, 161,  76,  15, 159,  73,   9, 165,  77,  14, 164,  77,  14, 162,  75,  11, 162,  75,  13, 161,  75,  10, 162,  75,  12, 160,  74,   8, 163,  76,  10, 164,  77,  13, 163,  76,  10, 162,  75,   9, 167,  76,  11, 169,  78,  11, 170,  79,  12, 168,  77,  10, 168,  78,  11, 166,  76,   8, 166,  78,   9,
   166,  77,  10, 162,  75,   6, 157,  71,   3, 155,  71,   4, 153,  70,   6, 152,  70,   8, 149,  68,   6, 149,  66,  10, 149,  67,  10, 147,  66,   9, 147,  66,  10, 147,  65,  10, 145,  64,   8, 145,  64,   7, 146,  65,   7, 149,  66,   4, 153,  66,   2, 153,  67,   1, 148,  66,   1, 148,  65,   2, 147,  64,   2,
    37,  68,  81,  38,  70,  83,  37,  68,  82,  36,  64,  76,  34,  63,  74,  31,  59,  69,  28,  55,  65,  26,  52,  62,  27,  50,  61,  27,  51,  57,  29,  51,  60,  31,  52,  58,  31,  51,  59,  29,  49,  57,  31,  50,  58,  33,  52,  60,  33,  52,  60,  34,  53,  60,  36,  54,  62,  35,  54,  62,  37,  57,  64,
    38,  57,  64,  39,  57,  64,  39,  58,  65,  39,  58,  65,  37,  56,  63,  37,  56,  63,  38,  57,  64,  39,  58,  65,  40,  59,  66,  41,  61,  68,  42,  60,  67,  42,  61,  68,  42,  61,  68,  43,  62,  69,  44,  64,  71,  45,  63,  70,  45,  64,  71,  46,  65,  72,  46,  64,  71,  45,  63,  69,  46,  64,  70,
    43,  62,  67,  43,  60,  65,  41,  60,  65,  41,  56,  63,  38,  54,  59,  37,  52,  59,  37,  51,  57,  36,  50,  56,  34,  49,  53,  34,  47,  54,  31,  45,  52,  32,  46,  52,  32,  45,  52,  32,  46,  52,  33,  47,  53,  33,  47,  53,  33,  47,  53,  35,  50,  56,  36,  51,  57,  40,  56,  62,  46,  63,  69,
    55,  73,  80,  59,  77,  84,  65,  83,  90,  75,  93, 101,  93, 112, 120, 106, 126, 135, 124, 142, 151, 143, 161, 170, 156, 173, 181, 160, 176, 187, 170, 188, 196, 167, 185, 193, 189, 205, 214, 194, 210, 218, 185, 200, 209, 185, 201, 209, 199, 213, 222, 202, 218, 226, 197, 212, 220, 213, 227, 235, 197, 213, 220,
   205, 221, 229, 208, 221, 230, 218, 233, 239, 215, 228, 237, 230, 242, 250, 232, 246, 250, 227, 240, 248, 215, 228, 236, 216, 230, 240, 227, 242, 249, 230, 243, 252, 229, 242, 250, 217, 233, 242, 215, 230, 239, 195, 213, 222, 196, 213, 222, 194, 211, 217, 192, 208, 218, 201, 218, 225, 212, 228, 235, 207, 222, 231,
   206, 221, 230, 213, 228, 235, 214, 228, 236, 211, 227, 234, 215, 229, 236, 216, 229, 237, 223, 234, 242, 222, 236, 244, 223, 236, 244, 219, 231, 240, 213, 227, 234, 222, 235, 244, 216, 230, 240, 219, 230, 240, 219, 233, 241, 219, 231, 240, 227, 240, 248, 225, 237, 246, 223, 236, 244, 226, 239, 248, 226, 239, 247,
   228, 241, 249, 228, 244, 251, 229, 243, 251, 225, 238, 246, 234, 247, 252, 226, 238, 248, 229, 242, 251, 226, 238, 247, 234, 245, 251, 230, 243, 251, 229, 241, 249, 227, 239, 249, 223, 236, 244, 227, 239, 249, 214, 230, 237, 215, 231, 240, 209, 222, 231, 197, 213, 225, 186, 202, 214, 185, 202, 211, 192, 207, 216,
   207, 222, 234, 197, 213, 223, 193, 209, 222, 183, 199, 212, 177, 194, 207, 176, 192, 208, 174, 192, 207, 174, 193, 208, 173, 191, 208, 179, 197, 214, 177, 197, 215, 176, 196, 214, 173, 194, 215, 174, 197, 217, 169, 192, 215, 171, 194, 217, 169, 193, 217, 169, 194, 212, 174, 192, 210, 165, 178, 192, 177, 189, 202,
   180, 193, 208, 185, 196, 208, 179, 183, 194, 177, 177, 185, 179, 171, 179, 179, 164, 173, 178, 164, 168, 171, 148, 151, 175, 152, 161, 174, 152, 157, 166, 136, 143, 170, 139, 143, 179, 127, 116, 187, 115,  85, 189, 116,  82, 189, 109,  66, 190, 104,  53, 190, 103,  41, 192, 102,  36, 194, 101,  32, 193, 100,  28,
   187,  95,  24, 186,  94,  24, 182,  89,  22, 174,  86,  22, 174,  84,  27, 172,  83,  30, 172,  83,  29, 169,  81,  27, 168,  80,  26, 164,  77,  21, 163,  77,  19, 159,  76,  19, 158,  75,  18, 155,  73,  16, 160,  75,  18, 156,  74,  13, 159,  73,  11, 158,  73,   9, 159,  76,  13, 161,  75,  12, 163,  76,  16,
   161,  75,  14, 160,  74,  11, 163,  75,  12, 165,  78,  13, 164,  77,  11, 166,  79,  13, 169,  79,  14, 170,  78,  12, 172,  79,  10, 171,  79,  10, 172,  81,  11, 170,  77,  11, 167,  77,   9, 168,  79,   9, 166,  76,  12, 162,  75,   7, 161,  75,   8, 157,  72,   4, 154,  71,   6, 155,  70,   5, 151,  68,   5,
   151,  69,   8, 151,  68,  10, 149,  68,  10, 149,  68,  11, 148,  67,  10, 146,  64,   9, 146,  65,   7, 147,  65,   7, 149,  65,   4, 153,  68,   2, 155,  69,   3, 150,  66,   1, 150,  66,   1, 147,  65,   1,  33,  60,  72,  31,  59,  70,  28,  55,  64,  26,  53,  61,  25,  51,  59,  26,  49,  57,  24,  47,  54,
    25,  45,  54,  25,  44,  51,  26,  45,  53,  28,  47,  55,  28,  45,  53,  28,  46,  54,  27,  44,  53,  29,  49,  56,  32,  51,  58,  33,  52,  59,  35,  53,  60,  37,  55,  63,  37,  56,  63,  39,  58,  65,  37,  56,  64,  39,  58,  65,  39,  58,  66,  39,  58,  65,  37,  56,  63,  39,  58,  65,  41,  60,  67,
    42,  61,  68,  41,  60,  67,  41,  60,  67,  42,  61,  68,  42,  60,  67,  42,  60,  67,  42,  61,  68,  42,  61,  68,  44,  63,  71,  45,  63,  70,  45,  64,  69,  45,  63,  69,  43,  61,  67,  40,  58,  64,  41,  56,  62,  40,  56,  62,  38,  53,  59,  38,  53,  59,  34,  49,  54,  33,  48,  53,  32,  46,  52,
    32,  46,  52,  31,  46,  49,  30,  45,  48,  30,  44,  49,  28,  42,  48,  27,  42,  47,  31,  45,  51,  31,  45,  50,  35,  48,  55,  41,  56,  61,  43,  57,  64,  49,  66,  72,  52,  69,  76,  58,  76,  83,  64,  82,  90,  79,  96, 105,  73,  90,  98,  93, 111, 120,  95, 113, 122, 119, 137, 147, 132, 150, 160,
   147, 165, 175, 162, 180, 188, 170, 187, 196, 177, 194, 203, 174, 192, 201, 178, 194, 202, 195, 211, 220, 183, 199, 208, 183, 199, 207, 203, 217, 224, 200, 216, 223, 204, 220, 227, 220, 234, 242, 202, 218, 225, 209, 226, 234, 208, 223, 233, 212, 227, 233, 222, 236, 244, 225, 237, 245, 234, 246, 252, 230, 244, 250,
   226, 238, 246, 226, 239, 247, 229, 242, 249, 229, 242, 250, 227, 240, 248, 211, 229, 236, 206, 221, 231, 198, 215, 225, 188, 205, 214, 194, 211, 219, 189, 206, 215, 197, 213, 221, 202, 218, 226, 211, 224, 233, 209, 223, 232, 215, 231, 238, 219, 233, 241, 213, 228, 236, 215, 230, 238, 214, 230, 237, 222, 234, 241,
   220, 233, 241, 215, 228, 237, 217, 230, 238, 223, 235, 243, 224, 237, 246, 225, 237, 245, 217, 230, 240, 218, 229, 239, 214, 230, 238, 219, 232, 241, 223, 236, 244, 224, 237, 245, 228, 241, 249, 225, 238, 246, 230, 243, 251, 235, 248, 254, 229, 242, 250, 226, 239, 247, 239, 250, 253, 229, 242, 251, 231, 243, 251,
   229, 242, 250, 236, 248, 253, 231, 243, 250, 231, 243, 251, 228, 240, 248, 231, 245, 252, 229, 242, 250, 227, 240, 249, 222, 234, 244, 219, 232, 242, 205, 219, 227, 199, 214, 226, 196, 211, 220, 213, 228, 237, 204, 220, 229, 199, 214, 225, 188, 204, 216, 184, 202, 213, 175, 191, 205, 175, 193, 209, 175, 193, 208,
   181, 198, 213, 181, 198, 215, 180, 198, 215, 174, 192, 210, 172, 191, 210, 173, 194, 213, 170, 192, 213, 170, 192, 216, 171, 193, 217, 172, 196, 218, 173, 196, 215, 173, 191, 208, 181, 194, 210, 180, 191, 204, 180, 192, 206, 183, 199, 215, 182, 197, 209, 183, 191, 202, 177, 185, 193, 182, 180, 186, 178, 164, 168,
   173, 152, 157, 174, 152, 156, 165, 142, 147, 171, 140, 147, 171, 143, 145, 171, 139, 139, 189, 120,  92, 190, 113,  74, 190, 108,  64, 188, 102,  49, 189, 101,  42, 187, 100,  37, 188,  97,  35, 186,  97,  33, 182,  93,  30, 179,  90,  29, 175,  90,  35, 177,  99,  49, 174, 101,  61, 176, 102,  72, 173, 101,  71,
   174, 103,  80, 175, 102,  80, 169, 100,  80, 168,  99,  74, 167, 101,  76, 162,  93,  67, 165,  97,  68, 161,  90,  56, 165,  96,  63, 169,  95,  63, 170,  94,  61, 166,  93,  61, 170,  94,  64, 168,  92,  57, 167,  88,  50, 168,  90,  51, 165,  85,  38, 167,  86,  32, 165,  82,  23, 167,  81,  18, 170,  81,  15,
   171,  82,  12, 173,  80,  10, 173,  82,  12, 171,  81,  10, 171,  80,  11, 173,  80,  11, 169,  81,  11, 167,  78,  10, 166,  78,   9, 160,  74,   7, 159,  74,   6, 158,  72,   4, 157,  71,   5, 155,  71,   6, 155,  71,   9, 152,  69,   8, 150,  70,   9, 149,  66,   9, 148,  66,   9, 146,  64,   7, 148,  66,   7,
   147,  67,   5, 149,  68,   4, 154,  69,   3, 155,  69,   3, 153,  67,   1, 151,  66,   1, 149,  66,   1,  25,  52,  62,  22,  49,  59,  21,  45,  53,  20,  44,  51,  20,  40,  49,  23,  41,  49,  21,  40,  48,  22,  40,  49,  23,  41,  48,  25,  43,  50,  27,  46,  53,  28,  46,  54,  29,  46,  55,  29,  47,  55,
    31,  49,  56,  32,  51,  58,  34,  53,  60,  37,  56,  63,  37,  56,  63,  38,  57,  64,  38,  57,  64,  39,  58,  65,  40,  59,  66,  39,  58,  66,  38,  57,  64,  41,  60,  67,  40,  59,  66,  42,  61,  68,  42,  61,  68,  42,  60,  68,  42,  60,  66,  43,  62,  68,  41,  61,  67,  43,  61,  68,  41,  59,  66,
    42,  60,  67,  40,  58,  65,  42,  61,  66,  42,  60,  65,  40,  57,  63,  40,  57,  62,  39,  55,  61,  37,  52,  58,  37,  52,  58,  34,  49,  55,  32,  46,  51,  30,  45,  49,  29,  43,  47,  26,  40,  46,  25,  39,  45,  25,  40,  43,  26,  41,  44,  26,  40,  45,  31,  43,  47,  30,  44,  48,  40,  51,  58,
    44,  58,  65,  51,  64,  71,  52,  66,  73,  65,  81,  87,  68,  86,  92,  77,  95, 102,  70,  87,  96,  86, 103, 111,  94, 110, 122, 101, 120, 129, 105, 123, 135, 115, 133, 144, 133, 151, 161, 131, 149, 159, 161, 179, 187, 169, 186, 195, 175, 192, 202, 181, 198, 206, 185, 200, 209, 193, 209, 217, 201, 216, 224,
   205, 220, 229, 187, 203, 212, 200, 213, 221, 205, 219, 227, 205, 221, 229, 209, 223, 232, 201, 216, 224, 217, 231, 239, 203, 220, 228, 221, 234, 242, 220, 233, 243, 235, 248, 252, 236, 248, 252, 234, 247, 252, 235, 248, 251, 223, 235, 244, 232, 246, 252, 232, 245, 251, 228, 243, 250, 208, 226, 234, 203, 220, 229,
   197, 214, 222, 191, 208, 217, 199, 216, 224, 190, 208, 217, 194, 211, 220, 203, 217, 226, 205, 221, 230, 209, 224, 232, 217, 232, 240, 214, 229, 238, 219, 232, 241, 217, 230, 240, 211, 227, 236, 216, 231, 238, 219, 233, 241, 216, 230, 238, 214, 229, 236, 223, 236, 244, 227, 241, 248, 225, 238, 246, 221, 234, 244,
   220, 232, 242, 217, 230, 240, 214, 229, 238, 225, 240, 247, 230, 243, 250, 229, 242, 250, 226, 239, 247, 230, 243, 251, 236, 248, 252, 230, 243, 251, 230, 243, 251, 244, 253, 255, 231, 245, 251, 231, 244, 251, 232, 245, 253, 239, 252, 254, 238, 250, 253, 234, 246, 254, 230, 242, 250, 237, 249, 254, 225, 238, 247,
   230, 244, 251, 230, 243, 251, 221, 233, 243, 218, 231, 238, 210, 224, 234, 217, 232, 241, 212, 227, 236, 201, 217, 227, 196, 212, 224, 190, 206, 218, 180, 198, 210, 179, 194, 210, 180, 198, 211, 185, 202, 214, 185, 202, 218, 181, 197, 213, 178, 196, 213, 179, 197, 215, 176, 196, 213, 178, 201, 219, 182, 203, 223,
   182, 204, 223, 178, 202, 222, 178, 202, 221, 177, 201, 218, 173, 194, 212, 181, 201, 219, 183, 202, 218, 187, 202, 219, 187, 198, 211, 184, 194, 209, 182, 195, 208, 182, 192, 204, 181, 177, 187, 180, 168, 175, 173, 157, 163, 162, 145, 153, 176, 154, 159, 175, 151, 154, 172, 144, 147, 173, 146, 151, 182, 132, 116,
   188, 109,  71, 188, 106,  66, 187, 101,  46, 186,  99,  42, 180,  96,  40, 185, 107,  61, 186, 118,  82, 185, 118,  93, 185, 120,  96, 177, 110,  89, 169,  95,  71, 166,  89,  56, 168,  87,  49, 166,  84,  41, 167,  84,  40, 165,  80,  32, 161,  76,  29, 158,  76,  26, 157,  75,  22, 158,  75,  23, 157,  74,  20,
   156,  73,  19, 156,  74,  19, 157,  73,  15, 160,  74,  14, 160,  75,  13, 164,  79,  19, 164,  79,  19, 164,  78,  23, 165,  81,  32, 164,  83,  36, 169,  89,  47, 175,  94,  55, 181, 103,  66, 182, 101,  60, 183, 102,  51, 175,  91,  42, 176,  93,  40, 178,  92,  37, 178,  92,  33, 171,  86,  23, 169,  80,  18,
   169,  82,  13, 166,  78,  10, 166,  78,  13, 163,  78,  14, 161,  74,   9, 159,  74,  11, 155,  71,   7, 154,  70,   5, 153,  71,   7, 151,  70,   7, 151,  70,   9, 147,  67,   7, 147,  66,   7, 148,  68,   7, 148,  67,   5, 150,  68,   2, 155,  70,   2, 155,  70,   2, 154,  68,   2, 153,  66,   1, 151,  67,   1,
    20,  42,  49,  19,  39,  47,  17,  35,  44,  17,  34,  43,  17,  35,  42,  20,  37,  45,  22,  39,  47,  24,  42,  49,  24,  42,  50,  27,  45,  52,  29,  47,  54,  30,  48,  56,  30,  48,  55,  32,  50,  57,  32,  50,  57,  34,  52,  59,  34,  52,  59,  37,  56,  63,  37,  56,  63,  38,  57,  64,  39,  58,  65,
    39,  58,  65,  38,  57,  64,  38,  57,  64,  40,  59,  65,  40,  59,  66,  42,  61,  68,  42,  60,  67,  43,  62,  68,  41,  59,  66,  42,  61,  66,  41,  60,  65,  41,  60,  65,  40,  59,  64,  39,  58,  63,  39,  57,  62,  38,  56,  61,  39,  55,  60,  38,  55,  61,  38,  53,  59,  37,  51,  57,  35,  49,  55,
    33,  47,  53,  31,  45,  51,  30,  44,  49,  26,  40,  46,  24,  38,  42,  22,  35,  39,  24,  37,  40,  25,  38,  42,  29,  42,  45,  34,  46,  50,  34,  46,  51,  40,  52,  57,  46,  58,  66,  49,  61,  70,  61,  73,  81,  73,  88,  96,  80,  97, 106,  72,  89,  97,  94, 111, 122, 102, 119, 130,  85, 102, 113,
    91, 109, 120, 114, 132, 143, 127, 145, 156, 115, 132, 146, 123, 140, 152, 143, 161, 172, 148, 166, 178, 151, 169, 178, 178, 196, 203, 165, 182, 192, 185, 202, 211, 188, 206, 214, 194, 210, 218, 199, 216, 224, 204, 219, 228, 199, 214, 223, 194, 211, 219, 208, 223, 231, 201, 216, 224, 217, 232, 241, 205, 220, 227,
   211, 227, 234, 210, 226, 235, 211, 224, 233, 218, 233, 242, 231, 245, 250, 232, 244, 250, 240, 252, 253, 236, 248, 253, 219, 232, 242, 230, 243, 250, 234, 248, 251, 225, 240, 247, 226, 240, 247, 213, 230, 239, 198, 216, 225, 193, 210, 218, 187, 205, 213, 187, 204, 214, 191, 207, 216, 208, 223, 232, 205, 223, 231,
   212, 228, 237, 218, 234, 241, 211, 227, 234, 226, 241, 248, 217, 232, 239, 205, 223, 232, 208, 223, 232, 213, 228, 237, 208, 224, 230, 218, 233, 240, 225, 237, 245, 230, 242, 250, 221, 234, 242, 223, 235, 245, 224, 235, 245, 225, 238, 247, 219, 234, 242, 223, 237, 246, 230, 243, 249, 228, 241, 249, 228, 241, 249,
   230, 243, 252, 237, 250, 252, 233, 247, 252, 233, 245, 253, 236, 250, 254, 232, 246, 253, 230, 242, 250, 235, 248, 254, 239, 252, 253, 236, 249, 253, 236, 248, 252, 232, 245, 253, 238, 251, 253, 227, 240, 247, 236, 247, 253, 224, 237, 246, 223, 235, 245, 226, 239, 247, 216, 232, 240, 220, 234, 244, 218, 232, 242,
   206, 223, 232, 200, 216, 227, 189, 205, 217, 187, 204, 217, 188, 204, 215, 190, 208, 219, 189, 206, 218, 191, 208, 221, 185, 201, 217, 185, 204, 219, 183, 201, 218, 185, 204, 221, 184, 205, 222, 183, 206, 224, 183, 204, 225, 179, 202, 221, 180, 203, 221, 170, 190, 208, 178, 201, 218, 180, 200, 218, 182, 202, 219,
   184, 203, 220, 181, 197, 211, 181, 190, 203, 182, 191, 202, 184, 189, 200, 181, 182, 192, 176, 169, 181, 170, 159, 170, 174, 152, 156, 173, 140, 139, 177, 132, 126, 176, 130, 125, 170, 134, 136, 173, 143, 146, 180, 130, 114, 180, 115,  86, 191, 128, 102, 189, 130, 115, 186, 126, 110, 179, 112,  88, 176,  96,  61,
   177,  92,  49, 173,  87,  39, 169,  87,  33, 169,  84,  35, 168,  85,  31, 168,  84,  35, 166,  82,  33, 167,  83,  36, 165,  81,  33, 162,  79,  30, 159,  76,  23, 160,  75,  25, 159,  76,  23, 160,  77,  21, 157,  74,  18, 159,  74,  18, 161,  76,  15, 163,  78,  17, 162,  76,  11, 165,  77,  13, 163,  75,  11,
   164,  77,  11, 165,  78,  13, 165,  78,  15, 171,  82,  15, 176,  83,  15, 176,  82,  11, 176,  83,  10, 175,  83,   7, 175,  85,  14, 176,  85,  18, 175,  89,  26, 177,  95,  44, 180,  98,  60, 180, 101,  64, 177,  97,  52, 171,  86,  29, 168,  84,  33, 167,  84,  43, 164,  88,  53, 161,  89,  55, 162,  89,  51,
   162,  88,  55, 160,  87,  50, 154,  77,  26, 150,  71,  13, 148,  67,  10, 148,  67,   9, 147,  69,   5, 150,  68,   6, 153,  67,   3, 155,  69,   4, 157,  70,   2, 155,  70,   2, 153,  68,   1, 151,  67,   1,  15,  32,  40,  14,  31,  40,  14,  31,  39,  16,  35,  42,  19,  36,  44,  21,  40,  47,  24,  42,  49,
    25,  43,  50,  26,  44,  51,  29,  47,  54,  30,  48,  55,  31,  49,  56,  32,  51,  57,  32,  52,  59,  35,  53,  60,  33,  52,  59,  36,  55,  62,  37,  55,  62,  35,  54,  61,  39,  58,  65,  38,  57,  64,  40,  58,  65,  39,  57,  64,  39,  57,  64,  40,  59,  65,  39,  59,  65,  42,  61,  68,  42,  60,  67,
    40,  59,  66,  41,  59,  66,  40,  58,  65,  41,  58,  63,  40,  58,  64,  38,  56,  61,  39,  54,  61,  38,  53,  58,  36,  51,  57,  36,  50,  56,  36,  49,  57,  35,  48,  53,  31,  46,  52,  30,  44,  50,  29,  43,  47,  26,  41,  45,  26,  39,  43,  25,  38,  44,  28,  41,  45,  31,  43,  48,  28,  40,  44,
    35,  47,  52,  35,  47,  51,  44,  56,  61,  53,  64,  71,  49,  61,  68,  57,  70,  78,  68,  83,  91,  67,  80,  89,  89, 106, 115,  94, 111, 121,  98, 115, 126, 100, 118, 129, 129, 147, 158, 109, 126, 138, 111, 129, 140, 139, 157, 168, 131, 149, 160, 133, 151, 164, 134, 152, 163, 155, 173, 184, 147, 164, 176,
   152, 168, 181, 171, 187, 198, 176, 193, 203, 176, 194, 202, 190, 205, 214, 196, 212, 220, 196, 213, 221, 195, 210, 219, 205, 219, 227, 204, 220, 228, 209, 223, 232, 206, 222, 229, 206, 220, 228, 213, 225, 233, 215, 231, 238, 213, 226, 233, 206, 222, 230, 219, 235, 242, 230, 245, 250, 223, 236, 245, 230, 242, 248,
   233, 247, 253, 224, 238, 246, 229, 243, 250, 238, 252, 253, 236, 248, 251, 233, 245, 251, 210, 227, 234, 204, 220, 230, 195, 212, 222, 182, 199, 208, 186, 202, 214, 185, 202, 211, 219, 236, 242, 214, 229, 238, 203, 219, 227, 214, 229, 238, 215, 230, 238, 222, 238, 246, 218, 233, 241, 204, 220, 231, 204, 219, 228,
   206, 222, 230, 210, 226, 233, 217, 230, 239, 222, 235, 243, 221, 234, 243, 221, 235, 243, 221, 234, 242, 226, 238, 248, 225, 238, 246, 230, 243, 251, 221, 236, 244, 226, 239, 247, 224, 236, 245, 234, 248, 253, 228, 241, 248, 237, 250, 253, 237, 250, 252, 236, 248, 252, 236, 251, 254, 230, 241, 251, 230, 244, 251,
   238, 250, 253, 238, 250, 254, 240, 251, 254, 235, 250, 253, 238, 250, 254, 237, 250, 254, 232, 244, 251, 238, 250, 253, 226, 240, 248, 232, 244, 250, 234, 246, 251, 225, 238, 246, 226, 239, 248, 220, 233, 243, 221, 235, 243, 203, 220, 229, 199, 215, 227, 191, 208, 218, 198, 214, 226, 198, 214, 225, 195, 213, 224,
   188, 204, 219, 191, 207, 222, 193, 213, 226, 190, 207, 223, 190, 209, 224, 187, 205, 222, 175, 196, 216, 178, 199, 218, 184, 204, 220, 174, 192, 209, 178, 195, 212, 176, 195, 211, 178, 195, 213, 176, 192, 209, 177, 196, 214, 177, 196, 214, 177, 196, 213, 175, 190, 204, 175, 184, 195, 175, 176, 186, 167, 170, 182,
   171, 166, 177, 175, 159, 165, 176, 146, 147, 177, 131, 126, 174, 121, 106, 170, 121, 115, 176, 147, 152, 180, 164, 164, 178, 144, 145, 174, 113,  96, 177,  97,  62, 176,  93,  52, 178,  93,  48, 176,  92,  45, 173,  88,  41, 174,  89,  41, 171,  88,  37, 166,  82,  29, 167,  84,  29, 166,  82,  31, 166,  82,  32,
   165,  81,  33, 167,  82,  36, 163,  80,  29, 158,  75,  23, 159,  76,  21, 158,  74,  19, 159,  75,  18, 160,  77,  21, 162,  78,  21, 165,  78,  19, 166,  79,  16, 164,  78,  13, 166,  78,  14, 166,  78,  14, 167,  80,  14, 168,  81,  15, 170,  81,  14, 174,  81,   9, 178,  85,   9, 180,  86,   9, 178,  86,   7,
   181,  85,   4, 181,  86,   2, 178,  85,   8, 177,  84,  10, 179,  84,  10, 178,  84,   9, 179,  85,   9, 178,  86,  14, 173,  85,  18, 169,  80,  17, 167,  79,  21, 163,  79,  23, 160,  79,  31, 161,  82,  38, 158,  81,  51, 156,  84,  60, 154,  77,  35, 155,  74,  21, 153,  73,  14, 153,  73,  16, 153,  74,  20,
   153,  75,  31, 157,  86,  54, 159,  82,  27, 156,  73,   4, 157,  70,   2, 154,  70,   3, 152,  68,   1,  13,  30,  38,  15,  33,  40,  18,  36,  43,  18,  36,  44,  21,  39,  45,  20,  39,  46,  24,  42,  49,  24,  42,  49,  27,  45,  52,  29,  47,  54,  29,  48,  56,  30,  50,  57,  32,  50,  58,  34,  52,  59,
    36,  54,  61,  35,  53,  60,  35,  53,  60,  36,  54,  61,  36,  55,  62,  37,  56,  63,  39,  57,  64,  39,  56,  63,  39,  57,  64,  38,  56,  63,  39,  57,  64,  40,  58,  65,  39,  58,  64,  40,  59,  65,  39,  57,  63,  38,  55,  61,  37,  54,  60,  38,  54,  60,  37,  52,  58,  38,  52,  58,  35,  49,  55,
    34,  48,  54,  32,  46,  52,  32,  47,  50,  30,  44,  50,  32,  44,  48,  30,  42,  47,  27,  40,  44,  32,  44,  49,  32,  44,  48,  24,  37,  42,  34,  46,  51,  36,  48,  53,  47,  57,  65,  50,  62,  68,  35,  45,  53,  47,  61,  66,  55,  67,  74,  64,  76,  84,  52,  65,  74,  66,  78,  87,  73,  90,  99,
    69,  85,  94, 105, 121, 132, 107, 124, 136, 129, 146, 158, 113, 132, 142, 131, 148, 160, 133, 150, 163, 126, 144, 155, 140, 157, 169, 158, 176, 187, 139, 156, 169, 158, 174, 186, 162, 179, 191, 151, 168, 180, 170, 187, 196, 179, 197, 206, 191, 208, 217, 190, 208, 215, 196, 213, 222, 196, 212, 221, 199, 216, 224,
   206, 221, 229, 204, 220, 227, 207, 222, 231, 205, 222, 229, 215, 228, 236, 204, 219, 226, 212, 225, 233, 220, 233, 241, 222, 235, 243, 220, 235, 243, 223, 237, 245, 225, 238, 246, 226, 237, 245, 236, 249, 252, 228, 242, 250, 237, 249, 253, 226, 239, 247, 232, 246, 250, 238, 251, 252, 235, 248, 252, 225, 241, 249,
   212, 229, 239, 192, 209, 219, 188, 206, 214, 175, 193, 204, 187, 204, 215, 212, 227, 235, 209, 223, 232, 204, 222, 229, 217, 233, 242, 212, 227, 236, 213, 228, 238, 211, 227, 235, 206, 224, 232, 201, 218, 227, 208, 223, 233, 215, 231, 238, 214, 229, 236, 215, 232, 239, 215, 230, 238, 228, 239, 247, 218, 231, 239,
   229, 242, 250, 229, 239, 247, 233, 247, 251, 226, 238, 246, 222, 234, 244, 222, 235, 245, 237, 251, 255, 226, 239, 248, 240, 253, 254, 237, 250, 254, 235, 247, 253, 239, 252, 254, 236, 249, 253, 234, 247, 251, 239, 252, 252, 238, 251, 254, 236, 248, 253, 240, 253, 254, 236, 248, 252, 229, 242, 251, 232, 243, 252,
   237, 250, 252, 231, 244, 252, 236, 249, 253, 238, 250, 254, 235, 248, 253, 229, 243, 251, 229, 242, 250, 226, 237, 248, 216, 232, 240, 210, 226, 234, 215, 230, 240, 211, 226, 238, 209, 225, 237, 192, 209, 220, 193, 211, 223, 198, 216, 228, 199, 216, 230, 205, 222, 236, 199, 216, 233, 189, 208, 224, 178, 200, 217,
   183, 204, 221, 180, 198, 215, 165, 182, 198, 172, 188, 201, 177, 192, 207, 176, 190, 205, 179, 195, 211, 177, 193, 209, 176, 195, 214, 179, 199, 220, 180, 201, 221, 173, 195, 214, 166, 182, 199, 172, 178, 191, 172, 176, 188, 168, 164, 171, 171, 159, 166, 172, 154, 161, 181, 161, 162, 181, 144, 145, 166, 122, 123,
   166, 121, 119, 167, 112,  99, 173, 103,  79, 173,  94,  56, 175,  93,  51, 177,  93,  47, 175,  90,  44, 172,  88,  41, 172,  87,  40, 170,  86,  38, 170,  86,  38, 164,  81,  27, 166,  82,  30, 163,  79,  28, 165,  81,  31, 164,  79,  28, 161,  78,  24, 159,  76,  23, 161,  78,  25, 162,  77,  21, 160,  77,  16,
   162,  78,  20, 164,  79,  24, 165,  79,  17, 167,  80,  16, 170,  82,  16, 168,  78,  14, 170,  79,  13, 171,  82,  14, 172,  81,  14, 174,  81,  11, 179,  85,   6, 181,  87,   2, 182,  86,   2, 183,  87,   2, 184,  86,   2, 183,  87,   1, 181,  88,   5, 181,  88,   5, 181,  87,   7, 179,  87,   8, 179,  85,   8,
   178,  85,  11, 176,  84,  12, 170,  78,  12, 168,  78,  12, 164,  75,  10, 161,  74,  10, 162,  76,  10, 158,  74,   7, 155,  71,   4, 156,  71,   5, 152,  70,   4, 151,  68,   3, 152,  70,   6, 149,  68,   5, 153,  69,   8, 156,  75,  19, 158,  75,  14, 156,  71,   4, 157,  72,   3, 154,  72,   3, 152,  71,   3,
    13,  31,  39,  18,  35,  42,  20,  37,  44,  18,  36,  44,  20,  39,  46,  22,  40,  47,  26,  44,  51,  27,  45,  52,  28,  46,  53,  30,  48,  55,  30,  48,  56,  32,  49,  56,  33,  51,  58,  34,  52,  59,  34,  52,  59,  34,  52,  59,  36,  54,  61,  35,  53,  60,  37,  55,  62,  38,  56,  63,  37,  55,  62,
    37,  55,  62,  38,  56,  62,  37,  55,  62,  37,  55,  61,  38,  55,  62,  39,  55,  61,  37,  53,  60,  37,  53,  59,  38,  53,  58,  36,  50,  58,  35,  49,  55,  35,  49,  55,  35,  49,  55,  36,  51,  55,  39,  53,  57,  38,  52,  58,  33,  48,  53,  35,  47,  51,  37,  49,  56,  36,  48,  53,  27,  39,  44,
    25,  37,  42,  38,  50,  56,  43,  54,  60,  34,  47,  53,  23,  35,  41,  45,  55,  63,  76,  88,  95,  76,  90,  98,  68,  81,  89,  66,  79,  88,  85,  98, 107,  80,  94, 104,  65,  78,  89,  84,  99, 109,  96, 110, 123, 108, 124, 136, 132, 148, 160, 130, 147, 159, 142, 160, 171, 147, 165, 176, 128, 144, 158,
   153, 171, 180, 135, 152, 165, 164, 182, 191, 156, 173, 184, 157, 174, 185, 181, 197, 208, 160, 177, 189, 163, 181, 193, 177, 194, 204, 189, 205, 216, 186, 203, 212, 189, 207, 214, 196, 211, 221, 188, 206, 213, 203, 220, 227, 199, 214, 223, 209, 224, 232, 209, 223, 233, 213, 229, 236, 205, 220, 227, 217, 229, 238,
   213, 226, 234, 215, 228, 236, 223, 236, 245, 219, 232, 241, 226, 239, 246, 219, 234, 241, 233, 245, 251, 234, 247, 251, 239, 252, 253, 229, 243, 249, 230, 246, 252, 235, 251, 253, 233, 247, 253, 228, 243, 251, 214, 229, 240, 201, 218, 227, 196, 215, 222, 189, 205, 216, 192, 210, 217, 207, 223, 233, 214, 229, 238,
   197, 215, 223, 211, 228, 237, 218, 234, 242, 214, 230, 239, 205, 221, 231, 202, 219, 228, 200, 217, 226, 203, 220, 228, 205, 222, 231, 216, 232, 239, 213, 228, 237, 215, 231, 239, 221, 233, 242, 222, 236, 243, 228, 242, 249, 225, 237, 245, 233, 246, 252, 227, 241, 249, 222, 236, 245, 223, 235, 245, 237, 249, 253,
   226, 239, 246, 238, 251, 254, 236, 248, 253, 238, 252, 254, 240, 252, 254, 242, 254, 254, 239, 252, 253, 240, 253, 254, 237, 250, 253, 235, 247, 252, 235, 247, 254, 238, 251, 253, 230, 243, 250, 231, 244, 250, 235, 248, 252, 234, 248, 254, 237, 248, 252, 236, 248, 254, 236, 250, 253, 234, 247, 253, 233, 246, 253,
   229, 241, 250, 225, 236, 246, 224, 239, 248, 224, 238, 249, 219, 234, 243, 213, 229, 238, 211, 226, 239, 210, 228, 239, 205, 222, 234, 211, 228, 241, 209, 226, 238, 200, 217, 233, 179, 198, 215, 181, 201, 219, 188, 207, 224, 174, 194, 211, 177, 194, 208, 179, 197, 212, 185, 204, 219, 184, 203, 220, 185, 203, 220,
   181, 201, 217, 177, 194, 209, 178, 196, 217, 175, 196, 218, 165, 189, 210, 175, 199, 222, 175, 195, 215, 173, 187, 202, 170, 184, 198, 182, 195, 209, 172, 170, 181, 166, 145, 153, 169, 122, 113, 168, 113, 104, 169, 118, 114, 170, 118, 111, 172, 102,  76, 172,  97,  60, 173,  93,  50, 176,  93,  47, 175,  90,  44,
   173,  89,  43, 170,  85,  39, 169,  84,  35, 168,  83,  32, 166,  82,  30, 164,  82,  28, 166,  83,  32, 164,  80,  28, 164,  81,  28, 161,  78,  23, 160,  78,  24, 160,  77,  22, 163,  79,  21, 163,  78,  22, 165,  80,  23, 167,  80,  22, 169,  82,  18, 172,  84,  18, 174,  83,  15, 173,  83,  16, 174,  82,  12,
   174,  84,  11, 179,  84,  12, 179,  85,   9, 187,  89,   5, 187,  90,   3, 187,  90,   3, 186,  88,   1, 185,  87,   1, 187,  90,   4, 186,  88,   4, 183,  87,   3, 183,  87,   3, 181,  88,   5, 180,  87,   4, 180,  86,   8, 178,  85,  11, 174,  80,  13, 168,  77,  10, 165,  75,  10, 163,  76,  10, 161,  73,   5,
   159,  73,   8, 159,  73,   6, 157,  71,   5, 155,  72,   5, 153,  69,   3, 153,  70,   4, 151,  68,   3, 153,  69,   4, 156,  70,   4, 157,  71,   1, 157,  71,   4, 157,  70,   2, 156,  71,   3, 156,  70,   3,  18,  36,  43,  20,  38,  45,  20,  37,  44,  20,  38,  46,  22,  40,  48,  24,  41,  49,  24,  43,  50,
    25,  43,  50,  28,  46,  53,  30,  48,  55,  30,  48,  55,  32,  50,  57,  34,  52,  59,  33,  51,  57,  35,  53,  60,  35,  53,  60,  37,  55,  62,  36,  54,  61,  36,  54,  61,  36,  54,  60,  36,  54,  60,  36,  54,  60,  36,  54,  60,  36,  53,  58,  36,  52,  58,  35,  51,  57,  36,  52,  57,  36,  50,  55,
    34,  48,  54,  34,  49,  54,  36,  48,  56,  36,  50,  56,  38,  51,  57,  45,  57,  63,  48,  60,  66,  48,  61,  67,  51,  64,  71,  58,  71,  78,  59,  72,  79,  47,  61,  67,  47,  60,  67,  66,  77,  85,  60,  73,  79,  48,  59,  66,  49,  60,  67,  46,  57,  64,  61,  73,  80,  49,  58,  68,  61,  73,  82,
    86, 101, 111,  93, 109, 120, 102, 115, 127,  96, 111, 121,  81,  97, 108,  95, 108, 122,  77,  92, 105, 109, 125, 137, 139, 156, 167, 126, 144, 155, 123, 139, 152, 154, 170, 183, 152, 169, 181, 144, 160, 173, 148, 165, 177, 163, 181, 191, 166, 183, 194, 181, 198, 206, 163, 180, 190, 191, 208, 217, 170, 187, 199,
   153, 169, 183, 185, 202, 212, 185, 201, 213, 184, 200, 213, 188, 204, 212, 196, 211, 223, 200, 217, 225, 196, 212, 221, 199, 215, 224, 196, 209, 218, 210, 226, 233, 211, 225, 234, 215, 229, 238, 216, 227, 238, 213, 228, 235, 217, 229, 237, 221, 235, 243, 227, 239, 247, 216, 228, 238, 228, 242, 248, 230, 242, 250,
   234, 248, 251, 236, 248, 253, 239, 251, 252, 225, 239, 249, 237, 250, 253, 228, 243, 249, 229, 245, 251, 224, 239, 248, 216, 231, 240, 207, 224, 231, 197, 215, 224, 202, 219, 227, 203, 221, 229, 212, 228, 238, 206, 221, 233, 207, 223, 232, 209, 225, 236, 215, 229, 241, 198, 214, 224, 200, 217, 226, 199, 216, 226,
   201, 219, 227, 199, 217, 226, 217, 232, 240, 209, 226, 233, 213, 228, 237, 219, 234, 241, 223, 235, 243, 224, 237, 245, 224, 237, 245, 223, 236, 245, 226, 238, 247, 229, 242, 250, 219, 231, 241, 232, 245, 252, 230, 243, 251, 236, 250, 253, 238, 249, 253, 240, 253, 253, 242, 254, 254, 240, 253, 254, 240, 253, 253,
   239, 253, 253, 240, 253, 255, 239, 251, 253, 232, 245, 253, 241, 253, 254, 236, 248, 254, 237, 249, 253, 239, 252, 253, 233, 245, 252, 240, 253, 254, 236, 250, 254, 240, 252, 253, 236, 250, 254, 234, 249, 253, 230, 243, 250, 230, 242, 251, 230, 244, 252, 225, 239, 249, 225, 240, 248, 221, 235, 246, 216, 232, 244,
   214, 231, 241, 217, 233, 246, 216, 232, 246, 203, 220, 233, 192, 212, 228, 191, 209, 225, 195, 213, 231, 189, 208, 225, 198, 218, 235, 192, 210, 224, 189, 208, 224, 183, 203, 219, 183, 202, 220, 189, 210, 229, 186, 209, 226, 182, 201, 221, 174, 193, 210, 170, 190, 210, 172, 195, 216, 177, 201, 224, 174, 201, 226,
   180, 205, 228, 175, 200, 225, 165, 177, 197, 169, 172, 186, 170, 158, 166, 173, 140, 139, 170, 113,  99, 167, 113, 102, 167, 119, 114, 170, 106,  85, 173,  98,  63, 173,  94,  53, 176,  92,  45, 176,  91,  44, 173,  91,  44, 173,  87,  42, 170,  86,  36, 169,  85,  34, 169,  84,  35, 166,  83,  30, 167,  83,  32,
   165,  83,  31, 164,  82,  31, 162,  80,  26, 165,  82,  31, 163,  81,  25, 162,  78,  20, 165,  79,  22, 167,  81,  25, 170,  81,  21, 173,  84,  17, 175,  86,  15, 179,  85,  13, 178,  86,  10, 180,  86,   6, 182,  87,   4, 182,  86,   5, 184,  89,   6, 187,  88,   2, 190,  90,   5, 190,  91,   5, 188,  90,   1,
   189,  90,   3, 188,  92,   6, 185,  88,   2, 186,  89,   2, 183,  87,   1, 183,  87,   1, 182,  88,   3, 183,  88,   5, 179,  83,   8, 173,  81,   9, 171,  81,  13, 167,  78,  13, 165,  78,  12, 160,  74,   8, 159,  74,   8, 158,  73,   6, 159,  72,   5, 155,  70,   3, 154,  70,   5, 153,  70,   4, 153,  69,   3,
   156,  69,   3, 157,  70,   3, 156,  71,   2, 161,  74,   5, 161,  73,   3, 158,  73,   2, 157,  71,   1,  19,  37,  44,  21,  39,  46,  21,  39,  46,  21,  39,  46,  23,  41,  49,  24,  42,  49,  26,  44,  51,  26,  44,  51,  28,  46,  53,  31,  49,  56,  30,  48,  55,  31,  49,  56,  33,  50,  58,  33,  52,  57,
    33,  51,  59,  35,  53,  60,  35,  52,  59,  34,  52,  59,  35,  51,  58,  35,  51,  58,  34,  51,  57,  35,  50,  56,  34,  49,  55,  33,  48,  54,  33,  48,  54,  32,  46,  52,  32,  46,  52,  32,  45,  51,  35,  48,  53,  36,  49,  56,  41,  53,  58,  44,  57,  61,  39,  52,  58,  44,  57,  63,  51,  63,  70,
    54,  67,  75,  54,  67,  75,  57,  70,  79,  72,  84,  94,  72,  87,  96,  79,  94, 102,  75,  90, 100,  82,  99, 109,  87, 104, 113,  81,  96, 104,  64,  75,  83,  49,  61,  67,  63,  74,  85,  64,  76,  86,  97, 114, 124,  86, 101, 114, 112, 128, 140, 132, 148, 161, 141, 158, 169,  90, 106, 119, 112, 126, 140,
   126, 142, 154, 156, 172, 184, 139, 156, 167, 128, 146, 159, 154, 171, 182, 147, 165, 176, 159, 177, 187, 165, 181, 193, 158, 175, 187, 164, 182, 192, 181, 197, 207, 182, 199, 208, 185, 202, 208, 170, 186, 198, 146, 162, 177, 179, 195, 206, 184, 200, 212, 180, 196, 207, 195, 211, 219, 188, 205, 214, 203, 220, 229,
   183, 199, 208, 179, 195, 206, 196, 212, 220, 192, 208, 217, 208, 223, 231, 206, 222, 229, 220, 231, 240, 217, 230, 239, 222, 234, 242, 220, 233, 241, 225, 239, 247, 224, 237, 245, 223, 238, 245, 232, 244, 250, 234, 247, 252, 231, 244, 250, 238, 250, 252, 232, 245, 252, 237, 252, 253, 239, 252, 254, 234, 246, 252,
   227, 243, 251, 228, 241, 249, 219, 234, 243, 220, 232, 242, 211, 226, 235, 215, 229, 238, 214, 229, 238, 212, 230, 239, 214, 231, 239, 208, 227, 234, 209, 226, 236, 197, 214, 223, 200, 217, 227, 201, 218, 227, 199, 216, 225, 201, 218, 227, 217, 232, 241, 210, 227, 236, 209, 226, 234, 215, 230, 238, 223, 236, 245,
   220, 235, 242, 228, 241, 250, 223, 235, 244, 223, 236, 244, 230, 244, 251, 222, 234, 243, 227, 242, 251, 229, 242, 249, 235, 248, 252, 236, 247, 252, 240, 251, 252, 244, 254, 254, 242, 254, 254, 240, 254, 253, 239, 252, 255, 240, 253, 254, 239, 253, 255, 232, 247, 253, 239, 253, 254, 237, 250, 253, 230, 243, 250,
   235, 247, 250, 238, 250, 254, 237, 250, 254, 241, 253, 254, 241, 253, 253, 241, 254, 254, 240, 252, 255, 230, 243, 251, 234, 249, 254, 230, 243, 252, 235, 250, 254, 225, 241, 250, 223, 238, 247, 221, 238, 248, 224, 240, 251, 219, 235, 247, 216, 232, 245, 207, 224, 237, 205, 222, 237, 210, 227, 241, 214, 231, 247,
   199, 217, 233, 199, 217, 234, 200, 220, 237, 191, 211, 228, 188, 207, 225, 187, 207, 224, 190, 210, 227, 186, 208, 226, 180, 204, 222, 173, 196, 217, 176, 200, 220, 178, 200, 221, 184, 207, 231, 177, 201, 227, 170, 194, 220, 169, 191, 216, 167, 187, 207, 164, 176, 191, 164, 170, 184, 166, 155, 159, 172, 127, 119,
   167, 108,  93, 169, 117, 111, 174, 119, 108, 176,  99,  65, 176,  99,  60, 175,  91,  43, 176,  93,  45, 173,  91,  44, 173,  88,  42, 171,  86,  36, 171,  87,  36, 170,  85,  35, 167,  83,  32, 170,  87,  36, 169,  85,  36, 168,  85,  39, 166,  85,  36, 165,  82,  27, 166,  83,  29, 168,  82,  28, 169,  82,  26,
   171,  83,  24, 173,  85,  18, 178,  86,  14, 181,  89,  11, 182,  87,   7, 182,  89,   5, 185,  88,   4, 186,  88,   3, 184,  88,   4, 186,  88,   2, 190,  91,   6, 191,  92,   7, 191,  93,   7, 189,  90,   5, 189,  91,   7, 189,  90,   4, 188,  91,   4, 187,  89,   3, 187,  90,   3, 184,  89,   1, 185,  88,   1,
   183,  87,   2, 179,  84,   6, 174,  82,  10, 171,  80,  11, 165,  78,  12, 166,  78,  12, 164,  77,  12, 161,  75,   9, 160,  73,   8, 159,  73,   6, 157,  72,   4, 157,  71,   5, 154,  69,   4, 154,  70,   5, 156,  69,   3, 158,  72,   4, 159,  74,   4, 161,  73,   3, 162,  73,   2, 159,  71,   2, 158,  71,   2,
    22,  40,  47,  21,  39,  46,  23,  40,  48,  23,  40,  47,  24,  42,  49,  26,  43,  50,  25,  43,  50,  28,  46,  53,  27,  45,  52,  29,  47,  54,  32,  49,  56,  33,  50,  57,  32,  49,  56,  33,  50,  57,  32,  49,  57,  36,  52,  58,  36,  52,  59,  34,  50,  57,  33,  49,  55,  32,  48,  54,  32,  46,  53,
    34,  47,  53,  29,  45,  51,  31,  45,  51,  30,  44,  50,  33,  47,  53,  36,  49,  55,  33,  46,  51,  32,  44,  52,  31,  42,  50,  31,  42,  50,  31,  43,  50,  33,  44,  52,  50,  61,  68,  56,  68,  75,  66,  79,  87,  53,  65,  74,  67,  79,  88,  68,  81,  91,  72,  86,  96,  68,  83,  93,  97, 112, 124,
    79,  94, 106,  85, 102, 113, 116, 132, 142, 113, 127, 138,  92, 107, 119,  73,  86, 100,  92, 105, 118,  99, 116, 128,  69,  84,  97, 124, 139, 151, 120, 138, 149, 135, 150, 163, 158, 174, 186, 139, 155, 166, 138, 156, 167, 165, 181, 193, 159, 175, 187, 160, 177, 188, 141, 158, 170, 161, 177, 188, 167, 185, 197,
   159, 176, 188, 143, 161, 173, 164, 181, 193, 187, 204, 214, 170, 187, 198, 190, 207, 216, 183, 199, 211, 148, 165, 178, 176, 192, 204, 183, 199, 209, 175, 191, 202, 188, 204, 213, 188, 204, 212, 197, 213, 222, 199, 216, 225, 184, 201, 210, 213, 229, 236, 195, 212, 219, 209, 225, 234, 205, 221, 228, 211, 224, 234,
   215, 227, 236, 219, 230, 239, 220, 235, 242, 223, 238, 246, 222, 234, 241, 229, 242, 248, 215, 230, 237, 232, 243, 250, 225, 238, 245, 232, 245, 252, 235, 248, 254, 231, 245, 249, 235, 250, 253, 240, 251, 253, 232, 245, 254, 234, 249, 253, 232, 245, 251, 225, 239, 247, 230, 241, 251, 227, 241, 249, 225, 239, 247,
   219, 235, 244, 221, 235, 247, 214, 230, 240, 209, 226, 238, 202, 217, 229, 201, 217, 229, 199, 215, 226, 198, 215, 224, 201, 218, 228, 218, 233, 242, 214, 230, 238, 202, 220, 228, 210, 226, 235, 212, 228, 236, 219, 234, 240, 227, 241, 249, 222, 234, 244, 229, 242, 250, 227, 241, 248, 224, 236, 244, 228, 242, 251,
   230, 244, 252, 234, 247, 253, 238, 250, 254, 240, 253, 253, 242, 254, 254, 243, 253, 253, 242, 254, 253, 238, 251, 254, 241, 254, 255, 238, 250, 252, 238, 250, 254, 239, 253, 252, 236, 248, 254, 233, 246, 251, 233, 249, 252, 235, 247, 252, 233, 246, 254, 242, 253, 254, 242, 252, 252, 242, 254, 254, 241, 253, 254,
   233, 247, 253, 234, 246, 253, 235, 248, 254, 232, 244, 253, 227, 241, 250, 230, 244, 253, 231, 246, 254, 225, 241, 253, 223, 239, 251, 220, 236, 248, 214, 232, 244, 217, 233, 247, 213, 230, 243, 198, 217, 232, 205, 224, 239, 194, 213, 230, 191, 213, 230, 187, 207, 224, 192, 213, 231, 188, 208, 226, 186, 206, 223,
   177, 199, 217, 175, 199, 218, 178, 203, 224, 181, 204, 226, 184, 208, 230, 175, 200, 225, 169, 195, 218, 168, 192, 214, 167, 191, 215, 165, 189, 212, 166, 186, 205, 163, 171, 186, 163, 165, 173, 166, 145, 145, 165, 104,  88, 166, 110,  99, 168, 116, 107, 172,  99,  65, 177,  99,  60, 174,  92,  45, 176,  91,  44,
   177,  93,  46, 176,  91,  45, 172,  88,  36, 173,  88,  40, 171,  87,  36, 172,  89,  36, 172,  87,  40, 170,  87,  40, 167,  83,  35, 168,  84,  31, 169,  82,  27, 170,  85,  29, 170,  82,  25, 173,  84,  23, 174,  86,  19, 180,  87,  11, 182,  88,   7, 186,  91,   7, 187,  89,   4, 189,  91,   8, 188,  90,   6,
   187,  88,   3, 188,  91,   6, 190,  93,   7, 192,  93,   9, 193,  96,  13, 191,  93,  12, 188,  92,   7, 188,  90,   3, 189,  92,   5, 187,  89,   4, 186,  89,   2, 185,  88,   1, 186,  89,   2, 185,  87,   1, 182,  86,   3, 180,  87,   5, 176,  83,  10, 173,  80,  11, 170,  80,  13, 165,  77,  11, 164,  77,  12,
   161,  74,   8, 160,  73,   6, 159,  72,   6, 158,  72,   6, 156,  70,   4, 157,  70,   5, 154,  70,   5, 156,  71,   2, 158,  72,   3, 161,  74,   4, 162,  74,   5, 163,  72,   2, 160,  72,   2, 160,  72,   2,  22,  40,  47,  21,  39,  46,  23,  40,  48,  23,  41,  48,  24,  42,  49,  24,  42,  49,  27,  45,  52,
    26,  44,  51,  29,  46,  53,  28,  46,  53,  30,  47,  54,  31,  47,  54,  32,  49,  56,  34,  49,  56,  32,  48,  55,  34,  48,  55,  32,  48,  55,  32,  47,  54,  31,  46,  52,  31,  45,  51,  30,  43,  50,  29,  43,  49,  31,  45,  50,  32,  46,  52,  32,  46,  52,  37,  50,  57,  37,  49,  56,  36,  47,  55,
    34,  45,  53,  32,  43,  51,  32,  43,  51,  34,  44,  53,  42,  52,  60,  36,  47,  56,  41,  51,  60,  63,  74,  84,  81,  93, 102,  67,  80,  92,  72,  85,  97,  65,  77,  88,  93, 109, 121,  85,  99, 111,  98, 113, 126,  80,  95, 107,  79,  93, 107, 159, 177, 189, 132, 148, 161, 118, 135, 146,  87, 101, 111,
   104, 120, 132, 117, 131, 144,  84,  98, 110, 133, 149, 162, 122, 138, 151, 162, 179, 190, 176, 192, 202, 161, 179, 188, 158, 174, 186, 177, 193, 204, 156, 172, 184, 144, 160, 172, 162, 178, 191, 173, 189, 201, 168, 186, 197, 153, 170, 183, 163, 179, 191, 169, 186, 197, 182, 200, 207, 196, 213, 222, 197, 214, 223,
   159, 176, 190, 161, 177, 190, 185, 201, 211, 179, 197, 206, 176, 193, 203, 188, 205, 214, 194, 211, 220, 200, 217, 226, 194, 210, 219, 195, 211, 221, 196, 214, 222, 198, 215, 224, 199, 215, 222, 196, 213, 223, 217, 230, 240, 220, 234, 242, 216, 230, 239, 223, 239, 246, 227, 239, 247, 228, 240, 249, 223, 236, 242,
   224, 237, 243, 226, 240, 247, 230, 245, 250, 233, 246, 252, 236, 248, 252, 232, 245, 252, 238, 250, 254, 240, 251, 253, 230, 243, 251, 231, 244, 251, 232, 247, 253, 234, 247, 252, 235, 249, 253, 232, 245, 252, 232, 245, 253, 221, 236, 247, 222, 237, 246, 219, 234, 244, 212, 228, 239, 207, 224, 232, 198, 215, 225,
   201, 218, 227, 204, 221, 229, 216, 231, 240, 210, 226, 235, 203, 220, 229, 216, 232, 239, 212, 228, 236, 220, 234, 242, 223, 237, 246, 226, 237, 247, 227, 240, 249, 229, 241, 247, 230, 243, 250, 237, 250, 253, 226, 241, 248, 238, 250, 253, 237, 250, 254, 239, 251, 252, 243, 254, 255, 239, 252, 254, 241, 254, 253,
   241, 254, 254, 238, 252, 253, 239, 252, 253, 246, 254, 254, 236, 251, 253, 237, 250, 254, 236, 247, 251, 232, 246, 253, 232, 244, 251, 236, 248, 254, 233, 246, 252, 240, 251, 254, 246, 255, 253, 237, 250, 253, 234, 248, 253, 240, 253, 254, 238, 251, 254, 235, 248, 254, 235, 250, 254, 233, 249, 253, 228, 244, 253,
   228, 242, 252, 229, 247, 253, 227, 242, 252, 219, 236, 249, 219, 235, 248, 214, 232, 243, 207, 224, 237, 201, 218, 232, 200, 219, 233, 200, 219, 236, 196, 216, 233, 191, 211, 229, 189, 209, 227, 183, 205, 222, 184, 205, 227, 187, 211, 233, 189, 213, 235, 182, 206, 229, 175, 199, 222, 172, 196, 218, 174, 198, 221,
   177, 201, 223, 173, 197, 223, 169, 193, 216, 170, 191, 213, 167, 182, 199, 164, 173, 187, 168, 165, 175, 172, 137, 133, 172, 119, 111, 172, 120, 111, 178, 104,  77, 178,  98,  62, 175,  94,  52, 178,  94,  47, 177,  91,  45, 176,  92,  45, 177,  92,  43, 175,  90,  40, 176,  90,  40, 175,  92,  41, 174,  91,  39,
   170,  86,  30, 172,  88,  32, 173,  87,  29, 173,  86,  28, 174,  87,  26, 176,  88,  24, 178,  87,  17, 183,  92,  15, 187,  91,   8, 190,  94,  14, 189,  94,  10, 191,  94,  12, 191,  93,  10, 191,  92,  10, 191,  92,   9, 190,  93,  12, 193,  93,  11, 196,  97,  13, 193,  94,  11, 192,  94,  11, 193,  95,  15,
   191,  92,   8, 188,  90,   7, 189,  92,   6, 188,  90,   5, 187,  88,   4, 187,  90,   2, 185,  88,   2, 185,  88,   8, 180,  86,   7, 177,  84,  10, 174,  81,   9, 168,  79,   9, 168,  79,  11, 163,  77,  10, 163,  76,   9, 160,  74,   5, 163,  76,  10, 160,  73,   6, 159,  74,   6, 158,  71,   7, 154,  71,   4,
   156,  71,   3, 158,  72,   2, 161,  73,   3, 165,  75,   5, 165,  76,   4, 162,  73,   3, 161,  74,   1,  21,  39,  46,  23,  41,  48,  23,  41,  48,  24,  42,  49,  24,  41,  48,  27,  44,  51,  27,  45,  52,  28,  46,  53,  28,  45,  52,  27,  45,  51,  30,  46,  51,  30,  46,  52,  31,  48,  53,  30,  46,  53,
    29,  45,  51,  31,  44,  50,  29,  42,  49,  28,  41,  49,  31,  45,  50,  33,  47,  53,  33,  46,  53,  34,  47,  54,  39,  52,  59,  41,  54,  61,  39,  52,  61,  41,  53,  62,  39,  52,  60,  38,  49,  58,  33,  42,  52,  30,  40,  49,  28,  36,  47,  23,  31,  43,  29,  38,  49,  46,  58,  66,  50,  60,  70,
    56,  65,  75,  51,  61,  72,  80,  95, 104,  90, 106, 119,  88, 105, 117,  90, 107, 119,  99, 115, 128, 110, 126, 139,  89, 106, 118,  77,  89, 104,  75,  89, 101, 140, 157, 169, 141, 157, 170, 143, 161, 172, 139, 154, 167, 153, 169, 182, 123, 140, 153, 131, 146, 160, 122, 137, 153, 142, 160, 173, 169, 185, 198,
   186, 203, 212, 169, 185, 196, 192, 208, 215, 175, 191, 203, 158, 174, 186, 172, 188, 200, 166, 182, 194, 185, 202, 211, 168, 184, 195, 147, 164, 176, 173, 190, 200, 168, 185, 196, 189, 206, 216, 197, 213, 222, 182, 198, 207, 168, 184, 197, 172, 188, 199, 189, 205, 216, 179, 195, 205, 180, 197, 206, 200, 216, 225,
   191, 208, 217, 191, 209, 217, 196, 213, 220, 193, 208, 217, 191, 209, 217, 206, 221, 228, 205, 220, 229, 208, 224, 232, 219, 232, 241, 222, 236, 244, 224, 236, 245, 217, 232, 240, 229, 241, 249, 230, 243, 248, 228, 244, 247, 236, 251, 253, 226, 238, 248, 233, 244, 250, 234, 248, 252, 228, 242, 248, 236, 250, 253,
   235, 248, 253, 235, 249, 253, 233, 246, 252, 227, 242, 249, 235, 249, 253, 233, 247, 253, 237, 250, 254, 241, 253, 254, 229, 243, 250, 232, 246, 251, 226, 241, 249, 219, 233, 242, 216, 232, 241, 208, 224, 234, 204, 220, 232, 206, 223, 232, 210, 226, 235, 204, 222, 231, 204, 220, 231, 216, 232, 241, 217, 232, 241,
   221, 233, 242, 215, 232, 240, 223, 236, 246, 228, 245, 251, 234, 248, 253, 232, 245, 253, 240, 252, 253, 230, 242, 251, 236, 249, 253, 240, 252, 253, 243, 253, 255, 241, 254, 254, 239, 251, 254, 241, 253, 253, 241, 254, 253, 239, 251, 253, 242, 254, 254, 248, 254, 254, 241, 253, 254, 237, 250, 254, 232, 245, 249,
   233, 245, 251, 229, 243, 250, 234, 248, 253, 226, 239, 246, 237, 248, 251, 245, 254, 254, 238, 253, 253, 240, 251, 253, 246, 255, 254, 237, 251, 254, 236, 250, 254, 236, 250, 254, 233, 248, 253, 233, 249, 254, 233, 249, 254, 229, 243, 252, 227, 241, 251, 223, 238, 251, 224, 241, 251, 210, 227, 239, 216, 232, 247,
   208, 227, 243, 206, 226, 242, 200, 218, 235, 199, 218, 234, 193, 212, 229, 195, 215, 233, 189, 211, 229, 192, 217, 233, 190, 213, 235, 185, 210, 230, 180, 204, 228, 182, 206, 229, 181, 205, 227, 175, 198, 222, 170, 192, 218, 166, 192, 217, 165, 189, 215, 166, 191, 213, 166, 184, 206, 170, 179, 194, 169, 166, 177,
   170, 144, 146, 167, 105,  88, 169, 109,  91, 176, 104,  74, 179, 100,  64, 179,  99,  58, 178,  95,  46, 179,  94,  46, 177,  93,  45, 177,  94,  48, 180,  98,  48, 180,  95,  43, 177,  91,  32, 176,  90,  32, 177,  89,  28, 178,  91,  28, 178,  90,  27, 179,  91,  24, 183,  91,  23, 185,  93,  21, 185,  91,  14,
   188,  94,  14, 193,  95,  13, 195,  96,  12, 196,  98,  11, 195,  96,  11, 194,  95,  12, 194,  95,  10, 195,  96,  16, 194,  96,  14, 195,  95,  11, 195,  95,   8, 193,  94,  10, 194,  94,  12, 193,  95,  11, 192,  93,  10, 192,  94,  10, 190,  92,  10, 190,  92,   9, 187,  89,   2, 187,  87,   2, 186,  90,   3,
   184,  87,   6, 182,  87,   6, 178,  86,   9, 177,  84,  10, 172,  80,  10, 166,  77,  10, 167,  79,  14, 163,  76,  10, 162,  75,   9, 164,  77,  12, 157,  71,   4, 159,  74,   5, 158,  73,   4, 156,  72,   5, 157,  71,   4, 158,  72,   3, 162,  74,   7, 166,  78,   9, 164,  76,   5, 165,  75,   4, 160,  73,   2,
    22,  40,  47,  23,  42,  49,  25,  41,  48,  24,  41,  48,  25,  42,  49,  28,  44,  51,  27,  44,  51,  27,  44,  51,  27,  44,  49,  26,  43,  49,  27,  43,  49,  28,  43,  49,  29,  44,  50,  27,  41,  48,  26,  39,  47,  26,  39,  47,  27,  40,  47,  27,  40,  48,  33,  46,  53,  37,  50,  57,  41,  54,  62,
    41,  54,  62,  39,  55,  63,  48,  62,  71,  49,  63,  70,  42,  54,  64,  51,  62,  72,  41,  50,  62,  39,  49,  60,  26,  35,  48,  18,  25,  40,  15,  23,  37,  19,  27,  42,  18,  26,  40,  72,  82,  94,  59,  72,  83,  54,  64,  75,  64,  74,  86,  77,  90, 103, 118, 135, 148, 106, 123, 135, 117, 133, 146,
   112, 130, 142, 127, 144, 156, 101, 117, 131,  85, 100, 113, 112, 128, 140, 136, 152, 165, 123, 141, 153, 128, 144, 158, 158, 175, 185, 137, 154, 166, 148, 164, 177, 132, 148, 162, 108, 125, 139, 155, 171, 184, 177, 193, 204, 181, 196, 207, 195, 210, 220, 187, 204, 213, 162, 178, 190, 177, 194, 203, 159, 175, 187,
   192, 206, 216, 168, 187, 198, 142, 159, 173, 174, 190, 202, 163, 180, 192, 172, 189, 199, 195, 212, 221, 184, 200, 209, 185, 201, 211, 171, 187, 198, 184, 201, 210, 183, 200, 210, 179, 196, 205, 191, 208, 217, 191, 206, 215, 188, 206, 216, 185, 202, 211, 196, 213, 221, 187, 204, 213, 203, 219, 229, 208, 224, 232,
   190, 206, 216, 200, 214, 223, 218, 230, 240, 227, 240, 248, 231, 246, 251, 216, 231, 239, 221, 235, 244, 235, 248, 251, 228, 241, 248, 227, 241, 249, 230, 242, 248, 234, 247, 253, 234, 246, 251, 228, 244, 251, 233, 247, 252, 234, 249, 253, 225, 240, 248, 223, 237, 246, 234, 248, 254, 230, 245, 253, 237, 251, 254,
   238, 252, 253, 239, 252, 254, 233, 247, 252, 231, 246, 252, 227, 241, 249, 223, 238, 245, 218, 233, 242, 210, 226, 237, 206, 223, 232, 209, 226, 236, 207, 224, 233, 208, 224, 234, 211, 227, 238, 223, 237, 246, 220, 234, 243, 221, 235, 244, 222, 235, 245, 227, 244, 251, 235, 249, 254, 232, 246, 252, 239, 252, 253,
   234, 246, 252, 238, 252, 254, 239, 253, 254, 245, 252, 253, 239, 252, 253, 238, 251, 254, 242, 254, 254, 239, 254, 253, 240, 254, 253, 241, 253, 254, 250, 254, 254, 238, 252, 254, 237, 251, 254, 236, 249, 254, 228, 241, 249, 224, 238, 245, 227, 240, 248, 227, 238, 246, 239, 252, 251, 235, 247, 252, 246, 254, 253,
   246, 254, 254, 243, 255, 254, 241, 254, 253, 240, 253, 254, 238, 252, 254, 229, 243, 252, 230, 246, 252, 233, 246, 251, 224, 240, 252, 239, 253, 254, 222, 237, 247, 216, 234, 243, 224, 241, 252, 217, 234, 247, 213, 231, 246, 211, 230, 245, 208, 226, 243, 202, 221, 237, 194, 214, 231, 191, 211, 228, 193, 213, 230,
   192, 215, 231, 197, 220, 240, 191, 214, 233, 188, 209, 230, 182, 206, 228, 177, 201, 224, 170, 194, 214, 166, 189, 210, 165, 186, 208, 163, 188, 213, 159, 184, 213, 165, 188, 215, 168, 185, 204, 169, 172, 183, 166, 153, 162, 169, 123, 109, 177, 108,  84, 176, 102,  67, 178,  98,  61, 180,  99,  56, 183, 101,  52,
   181,  99,  55, 182, 100,  57, 182,  98,  50, 180,  92,  37, 181,  94,  35, 178,  91,  27, 181,  94,  28, 180,  93,  30, 183,  93,  27, 185,  93,  25, 184,  92,  18, 189,  95,  21, 190,  95,  20, 192,  96,  20, 194,  98,  16, 196,  97,  13, 197,  99,  12, 198,  99,  11, 194,  96,   8, 196,  97,  12, 196,  97,  11,
   195,  95,  12, 197,  98,  14, 195,  96,  10, 196,  97,  10, 196,  98,  12, 193,  96,  10, 194,  95,  12, 193,  95,  12, 190,  92,   6, 192,  94,  12, 192,  93,   8, 189,  91,   5, 189,  90,   3, 186,  88,   2, 187,  90,   9, 184,  88,   4, 179,  86,   7, 175,  82,   7, 173,  81,  11, 169,  78,  12, 167,  78,  12,
   165,  77,  10, 161,  74,   7, 160,  73,   7, 160,  73,   8, 159,  74,   6, 159,  73,   5, 160,  74,   7, 158,  72,   3, 160,  74,   7, 162,  76,   6, 166,  78,   9, 166,  76,   6, 164,  74,   3, 163,  73,   3,  21,  39,  46,  23,  41,  48,  26,  42,  49,  25,  41,  48,  26,  41,  48,  26,  42,  49,  28,  42,  49,
    26,  41,  48,  24,  39,  46,  24,  39,  45,  24,  38,  45,  26,  40,  47,  27,  40,  48,  24,  36,  44,  23,  36,  44,  27,  38,  46,  31,  43,  51,  26,  39,  47,  40,  50,  58,  46,  60,  67,  49,  62,  71,  49,  65,  73,  46,  61,  73,  51,  65,  77,  57,  72,  84,  50,  65,  78,  51,  63,  74,  46,  57,  70,
    41,  50,  63,  34,  42,  56,  24,  31,  45,  25,  33,  47,  22,  30,  43,  16,  23,  38,  77,  88, 101,  82,  98, 109,  61,  72,  86,  70,  80,  94,  40,  49,  63,  94, 108, 120, 124, 141, 153, 119, 135, 149, 129, 145, 158, 136, 152, 164, 133, 149, 162,  90, 107, 120,  97, 111, 124, 144, 160, 173,  94, 112, 125,
   133, 148, 163, 143, 161, 171, 155, 173, 183, 145, 162, 174, 161, 177, 189, 130, 146, 159, 149, 166, 179, 164, 181, 191, 191, 207, 217, 181, 199, 208, 191, 206, 216, 164, 180, 191, 172, 187, 198, 165, 181, 193, 181, 199, 206, 172, 189, 199, 158, 176, 189, 164, 182, 193, 167, 183, 195, 161, 177, 190, 183, 199, 210,
   203, 219, 227, 182, 199, 209, 181, 198, 208, 166, 183, 195, 190, 206, 215, 185, 201, 211, 188, 206, 215, 184, 201, 210, 183, 199, 210, 191, 207, 215, 193, 210, 218, 200, 216, 225, 176, 192, 204, 205, 222, 231, 204, 220, 227, 194, 211, 220, 210, 226, 234, 212, 226, 235, 225, 238, 246, 218, 234, 241, 219, 231, 240,
   222, 237, 244, 231, 243, 251, 232, 246, 251, 230, 241, 249, 234, 247, 253, 234, 247, 251, 218, 233, 243, 235, 249, 253, 222, 238, 249, 223, 239, 247, 214, 229, 239, 233, 248, 254, 226, 242, 249, 228, 242, 252, 230, 243, 251, 231, 245, 253, 234, 248, 252, 228, 243, 250, 228, 239, 249, 230, 244, 252, 226, 240, 249,
   223, 238, 247, 219, 235, 244, 211, 227, 238, 209, 225, 237, 205, 223, 233, 209, 225, 237, 218, 234, 245, 216, 231, 241, 221, 235, 244, 226, 242, 250, 227, 239, 249, 236, 250, 254, 228, 241, 250, 238, 250, 254, 238, 251, 254, 236, 250, 254, 242, 253, 253, 242, 253, 254, 242, 253, 253, 237, 250, 252, 241, 253, 253,
   243, 255, 254, 243, 253, 254, 247, 254, 255, 241, 253, 254, 240, 253, 253, 237, 251, 253, 232, 246, 253, 230, 245, 252, 227, 240, 248, 223, 236, 244, 228, 239, 248, 233, 246, 252, 241, 254, 253, 249, 254, 254, 243, 254, 254, 246, 254, 254, 249, 255, 254, 236, 249, 253, 239, 254, 253, 236, 251, 254, 237, 251, 254,
   231, 244, 252, 229, 245, 252, 232, 247, 253, 228, 244, 250, 224, 240, 252, 226, 243, 253, 220, 238, 250, 218, 234, 248, 213, 233, 248, 211, 229, 245, 197, 218, 234, 200, 221, 238, 203, 223, 241, 191, 210, 226, 196, 215, 232, 190, 209, 224, 190, 207, 223, 186, 205, 222, 184, 206, 223, 177, 199, 219, 170, 192, 215,
   167, 189, 210, 169, 188, 208, 164, 187, 211, 165, 188, 216, 164, 189, 219, 161, 185, 213, 165, 181, 196, 163, 162, 175, 169, 139, 138, 179, 111,  83, 177, 101,  66, 179, 100,  60, 183, 106,  62, 184, 106,  64, 182, 100,  52, 181,  95,  43, 181,  93,  36, 183,  94,  34, 184,  95,  31, 186,  95,  30, 182,  94,  28,
   185,  97,  31, 188,  94,  23, 191,  97,  23, 192,  98,  19, 193,  98,  19, 193, 100,  16, 198, 100,  17, 199,  99,  14, 202, 100,  12, 199, 102,  10, 198,  98,   8, 198,  98,  11, 196,  98,  10, 197,  98,  11, 196,  96,  12, 196,  96,  12, 198,  98,  10, 197,  97,   8, 195,  96,  10, 195,  96,   8, 195,  95,   8,
   194,  95,  10, 193,  95,  11, 193,  94,  11, 191,  93,   6, 190,  93,   6, 191,  92,   5, 187,  89,   3, 188,  90,   5, 185,  88,   3, 180,  87,   6, 175,  82,   9, 172,  80,   9, 170,  79,  12, 167,  79,  12, 165,  76,  10, 166,  75,  11, 161,  74,   8, 162,  75,   9, 160,  73,   5, 157,  71,   2, 159,  72,   6,
   160,  73,   6, 160,  74,   4, 163,  77,   8, 168,  78,  10, 168,  78,  10, 167,  76,   7, 165,  74,   4,  23,  39,  46,  23,  39,  46,  24,  38,  46,  25,  38,  45,  23,  37,  45,  25,  39,  45,  23,  37,  43,  22,  36,  43,  22,  36,  43,  22,  35,  41,  16,  32,  38,  20,  33,  41,  29,  42,  50,  27,  39,  47,
    23,  36,  44,  28,  39,  47,  38,  49,  57,  45,  57,  65,  46,  59,  67,  51,  64,  72,  44,  59,  68,  59,  71,  83,  52,  65,  78,  53,  66,  80,  57,  70,  84,  52,  65,  80,  51,  61,  76,  43,  54,  67,  39,  48,  62,  24,  33,  47,  12,  20,  36,  15,  22,  38,  33,  41,  57,  28,  36,  51,  49,  58,  71,
   116, 132, 145, 100, 115, 128,  69,  80,  91,  48,  56,  71,  75,  85,  98, 108, 123, 136, 123, 138, 151, 119, 135, 150, 140, 156, 169, 156, 172, 184, 135, 151, 165,  79,  94, 107, 110, 126, 139, 130, 147, 160, 103, 118, 134, 140, 156, 168, 157, 174, 185, 141, 158, 171, 170, 186, 196, 147, 165, 177, 152, 168, 181,
   137, 153, 165, 170, 187, 196, 184, 202, 211, 173, 190, 199, 178, 193, 204, 172, 190, 198, 177, 193, 202, 178, 196, 205, 196, 212, 221, 156, 173, 186, 151, 168, 181, 179, 196, 208, 154, 172, 185, 168, 184, 195, 197, 214, 222, 189, 204, 214, 168, 184, 195, 176, 192, 205, 167, 184, 195, 183, 200, 211, 184, 200, 210,
   178, 195, 205, 163, 180, 192, 186, 202, 212, 202, 219, 227, 208, 223, 233, 186, 202, 213, 190, 206, 217, 205, 220, 229, 199, 215, 224, 201, 218, 227, 220, 232, 242, 220, 235, 243, 220, 233, 242, 221, 237, 244, 227, 240, 248, 222, 237, 245, 233, 246, 251, 237, 249, 253, 232, 246, 252, 233, 247, 253, 227, 241, 248,
   225, 239, 249, 227, 242, 247, 227, 241, 249, 207, 224, 235, 223, 239, 246, 224, 239, 250, 220, 235, 245, 222, 237, 246, 222, 238, 246, 232, 245, 252, 223, 239, 246, 226, 241, 249, 234, 247, 253, 225, 240, 248, 235, 250, 254, 227, 242, 251, 223, 238, 246, 220, 236, 246, 209, 225, 237, 208, 224, 236, 215, 230, 242,
   214, 232, 240, 225, 240, 248, 224, 240, 248, 224, 239, 247, 230, 245, 252, 228, 241, 250, 241, 254, 254, 237, 249, 253, 237, 252, 253, 239, 252, 255, 241, 253, 254, 241, 253, 254, 238, 252, 253, 247, 255, 254, 246, 255, 255, 244, 255, 253, 248, 255, 254, 249, 254, 254, 242, 254, 254, 236, 252, 254, 232, 246, 253,
   235, 248, 254, 227, 241, 247, 230, 244, 251, 231, 243, 250, 226, 239, 246, 240, 251, 252, 247, 254, 253, 243, 253, 253, 248, 254, 253, 244, 254, 254, 240, 253, 254, 238, 253, 254, 238, 253, 254, 240, 253, 253, 236, 251, 255, 232, 246, 253, 231, 248, 253, 230, 245, 252, 225, 242, 252, 225, 241, 251, 222, 238, 251,
   223, 241, 252, 216, 231, 248, 207, 226, 242, 206, 226, 242, 204, 223, 240, 199, 221, 237, 196, 214, 231, 191, 211, 227, 189, 204, 218, 189, 205, 219, 185, 199, 212, 184, 200, 213, 176, 194, 210, 178, 199, 217, 172, 193, 214, 167, 190, 212, 170, 194, 216, 165, 189, 214, 160, 187, 215, 158, 185, 216, 160, 183, 203,
   161, 173, 188, 165, 155, 160, 177, 119,  97, 184, 113,  79, 183, 107,  68, 185, 102,  54, 185, 100,  43, 185, 100,  44, 186,  99,  43, 186, 100,  38, 187,  99,  34, 189,  99,  31, 188,  96,  27, 193,  98,  30, 192, 100,  27, 194, 100,  21, 197, 102,  21, 197, 101,  17, 199, 102,  15, 199, 102,  12, 201, 102,  11,
   203, 103,  10, 204, 105,   7, 203, 103,   7, 200, 102,  11, 199,  99,  10, 201, 102,  13, 198,  97,  11, 201, 100,  15, 201,  98,  12, 200,  99,   9, 197,  97,   8, 198,  99,  11, 196,  97,   7, 195,  97,   8, 194,  95,   9, 196,  97,  12, 193,  94,  10, 191,  92,   6, 191,  94,   7, 190,  91,   5, 189,  90,   4,
   188,  89,   3, 188,  91,   4, 179,  86,   4, 177,  84,   9, 173,  80,  10, 170,  79,  11, 168,  79,  12, 167,  77,  12, 164,  75,  10, 165,  77,  13, 161,  74,   7, 160,  73,   6, 161,  75,   7, 162,  75,   7, 162,  74,   6, 163,  75,   5, 165,  77,   7, 168,  77,   8, 167,  78,   6, 164,  75,   4, 166,  76,   5,
    21,  36,  44,  20,  37,  43,  22,  35,  42,  22,  37,  43,  25,  37,  43,  22,  36,  40,  22,  35,  40,  19,  33,  39,  14,  29,  35,  15,  30,  36,  12,  28,  35,  11,  28,  35,  28,  40,  47,  30,  41,  50,  33,  43,  53,  42,  54,  63,  48,  59,  68,  43,  56,  64,  50,  64,  73,  57,  72,  83,  44,  58,  71,
    45,  59,  72,  48,  61,  76,  49,  62,  78,  50,  62,  78,  48,  61,  76,  47,  58,  74,  39,  48,  64,  26,  35,  51,  39,  48,  62,  30,  38,  54,  16,  23,  39,  18,  25,  42,  13,  20,  37,  12,  17,  33,  73,  87, 101,  93, 110, 122, 102, 117, 131,  73,  87, 102,  49,  60,  72,  96, 111, 125, 105, 118, 132,
   113, 130, 142, 111, 129, 142, 133, 150, 162, 159, 174, 186, 115, 132, 147, 109, 127, 138, 136, 152, 164, 101, 117, 130, 125, 142, 154, 157, 173, 185, 142, 159, 171, 166, 183, 195, 166, 182, 192, 154, 170, 182, 155, 172, 183, 172, 189, 198, 181, 198, 207, 169, 186, 197, 187, 203, 213, 157, 175, 185, 194, 211, 219,
   183, 199, 209, 192, 208, 216, 183, 200, 211, 167, 185, 196, 160, 178, 188, 164, 182, 194, 157, 175, 186, 179, 195, 207, 182, 199, 207, 175, 191, 202, 175, 191, 203, 160, 176, 189, 179, 195, 206, 177, 193, 205, 193, 210, 221, 170, 187, 199, 176, 194, 206, 184, 203, 213, 195, 211, 220, 213, 229, 238, 195, 211, 221,
   201, 216, 225, 208, 224, 231, 202, 218, 225, 199, 216, 224, 219, 232, 241, 223, 238, 246, 216, 231, 239, 221, 236, 244, 222, 238, 247, 235, 250, 254, 231, 243, 251, 230, 244, 251, 232, 246, 252, 233, 245, 250, 215, 231, 241, 233, 247, 253, 228, 242, 250, 217, 233, 242, 215, 231, 241, 224, 239, 247, 218, 234, 244,
   216, 231, 242, 214, 230, 241, 228, 242, 247, 223, 240, 247, 225, 238, 248, 234, 248, 253, 229, 242, 251, 238, 251, 253, 232, 246, 254, 229, 245, 252, 230, 246, 252, 218, 234, 246, 211, 227, 239, 219, 235, 247, 219, 235, 247, 223, 237, 248, 223, 238, 248, 224, 240, 249, 224, 237, 246, 229, 242, 251, 238, 252, 253,
   234, 246, 252, 237, 252, 252, 235, 250, 253, 241, 254, 254, 239, 252, 255, 248, 255, 254, 253, 255, 255, 244, 254, 254, 248, 255, 254, 244, 254, 253, 249, 255, 254, 241, 253, 254, 234, 249, 254, 232, 248, 253, 231, 244, 252, 231, 243, 250, 228, 239, 248, 228, 240, 248, 232, 246, 250, 238, 249, 252, 244, 253, 254,
   251, 255, 254, 247, 254, 254, 245, 254, 253, 244, 254, 253, 243, 253, 253, 240, 253, 254, 238, 253, 253, 233, 249, 253, 233, 249, 253, 231, 247, 251, 228, 242, 252, 234, 249, 254, 226, 242, 254, 227, 245, 253, 223, 241, 252, 213, 230, 246, 201, 219, 235, 210, 227, 244, 204, 222, 239, 201, 221, 238, 193, 212, 226,
   186, 200, 213, 180, 192, 203, 179, 190, 203, 188, 196, 206, 185, 198, 210, 177, 189, 203, 187, 199, 213, 183, 192, 206, 178, 186, 202, 170, 189, 213, 161, 182, 206, 161, 185, 209, 157, 183, 214, 156, 185, 212, 157, 178, 197, 164, 160, 173, 177, 132, 122, 186, 109,  66, 187, 106,  54, 187, 103,  49, 190, 103,  45,
   192, 103,  44, 190, 102,  41, 192, 103,  39, 196, 102,  33, 194, 101,  28, 195, 100,  28, 198, 104,  26, 199, 104,  22, 201, 105,  20, 201, 104,  16, 200, 103,  16, 202, 104,  12, 204, 106,  12, 206, 104,   7, 206, 106,   6, 206, 105,   4, 205, 105,   7, 204, 103,   7, 202, 102,   8, 203, 101,   8, 204, 102,  10,
   202,  99,  11, 200,  98,  10, 200, 100,   9, 199,  99,   9, 197,  99,   7, 198,  98,   5, 196,  98,   9, 195,  95,   9, 194,  96,  10, 195,  96,  12, 191,  92,   6, 191,  93,   6, 189,  93,   5, 190,  91,   5, 188,  91,   4, 187,  89,   4, 180,  88,   3, 177,  85,   7, 174,  79,   8, 172,  79,  10, 168,  80,  11,
   166,  76,  11, 165,  77,  11, 162,  75,   9, 161,  74,   8, 161,  74,   7, 161,  74,   7, 160,  74,   6, 163,  75,   5, 166,  75,   7, 167,  78,   7, 171,  79,   6, 169,  80,   7, 167,  78,   7, 166,  76,   4,  19,  34,  41,  19,  35,  42,  21,  35,  41,  23,  37,  42,  22,  35,  41,  18,  33,  39,  15,  30,  36,
    12,  26,  32,  11,  24,  30,  10,  23,  29,   8,  22,  29,  12,  25,  33,  24,  36,  44,  34,  45,  55,  33,  44,  54,  41,  53,  63,  48,  59,  69,  48,  62,  71,  54,  68,  78,  60,  74,  86,  60,  74,  88,  39,  53,  69,  44,  57,  73,  48,  62,  78,  40,  51,  68,  54,  65,  82,  45,  55,  72,  39,  48,  66,
    20,  28,  45,  33,  41,  56,  40,  48,  63,  53,  61,  76,  10,  18,  34,  27,  34,  50,  18,  25,  40,  34,  42,  55,  96, 112, 125,  70,  84,  99, 108, 123, 136,  88, 103, 116,  95, 111, 124, 101, 116, 130, 130, 147, 158, 131, 148, 160, 121, 138, 151, 156, 172, 184, 129, 145, 158, 132, 150, 162, 136, 154, 166,
    96, 112, 123,  85, 101, 114, 156, 172, 184, 157, 174, 184, 129, 145, 160, 187, 202, 210, 167, 183, 195, 168, 184, 196, 166, 183, 193, 180, 198, 208, 158, 176, 187, 177, 194, 205, 167, 182, 195, 196, 212, 222, 208, 224, 232, 191, 207, 215, 181, 197, 210, 142, 159, 172, 180, 197, 209, 192, 208, 218, 161, 179, 190,
   174, 190, 201, 186, 202, 212, 178, 194, 206, 178, 194, 206, 184, 200, 211, 179, 195, 205, 188, 205, 215, 188, 205, 214, 170, 187, 198, 175, 193, 205, 174, 191, 203, 180, 197, 209, 195, 212, 221, 201, 218, 228, 197, 214, 223, 212, 228, 238, 216, 233, 240, 201, 216, 225, 214, 229, 237, 216, 230, 241, 234, 247, 253,
   225, 238, 246, 221, 235, 244, 225, 239, 247, 234, 246, 253, 231, 244, 251, 231, 246, 252, 230, 244, 252, 229, 243, 249, 228, 243, 250, 223, 238, 248, 215, 230, 243, 212, 228, 240, 217, 235, 242, 208, 225, 236, 207, 223, 235, 208, 224, 235, 213, 230, 240, 225, 240, 246, 229, 243, 251, 231, 246, 253, 232, 245, 252,
   239, 252, 255, 238, 253, 254, 234, 247, 253, 237, 252, 255, 229, 244, 251, 218, 234, 246, 219, 235, 247, 226, 240, 249, 223, 238, 248, 216, 232, 242, 220, 236, 245, 225, 239, 248, 234, 247, 254, 235, 250, 253, 237, 251, 253, 240, 254, 254, 239, 253, 255, 239, 254, 252, 238, 252, 254, 251, 254, 254, 253, 255, 255,
   252, 255, 254, 251, 254, 254, 249, 254, 254, 244, 254, 254, 242, 254, 254, 235, 249, 254, 236, 251, 254, 233, 248, 251, 227, 242, 247, 228, 240, 247, 223, 235, 243, 232, 244, 251, 241, 253, 254, 246, 253, 253, 244, 253, 253, 254, 254, 255, 253, 254, 254, 245, 254, 254, 241, 254, 255, 240, 253, 255, 243, 255, 253,
   242, 253, 253, 237, 251, 253, 235, 252, 253, 233, 248, 253, 235, 252, 253, 229, 246, 253, 226, 244, 252, 218, 235, 248, 217, 235, 248, 218, 237, 251, 204, 224, 239, 200, 219, 235, 189, 208, 221, 187, 204, 215, 187, 202, 215, 189, 205, 218, 188, 199, 211, 183, 193, 205, 180, 190, 203, 178, 184, 197, 175, 178, 187,
   178, 179, 187, 179, 169, 177, 176, 172, 185, 168, 181, 198, 161, 183, 205, 161, 184, 207, 154, 180, 210, 157, 181, 210, 166, 168, 183, 182, 147, 143, 193, 115,  67, 190, 107,  53, 191, 106,  49, 192, 105,  42, 194, 107,  41, 193, 105,  37, 196, 104,  33, 198, 105,  31, 199, 106,  28, 199, 104,  24, 201, 105,  22,
   202, 105,  18, 203, 106,  17, 204, 107,  15, 204, 107,  19, 205, 106,  14, 208, 110,  16, 210, 109,  11, 209, 108,   9, 206, 105,   4, 208, 108,  10, 208, 107,   9, 205, 105,   7, 204, 103,   4, 203, 102,   4, 205, 104,  10, 203, 102,   9, 200, 100,   6, 201, 102,   6, 200, 100,   5, 199,  99,   6, 197,  98,   9,
   195,  95,   9, 195,  96,  11, 193,  94,   9, 194,  94,  11, 194,  95,  11, 192,  95,  10, 190,  93,  10, 189,  92,   7, 187,  90,   4, 183,  88,   3, 178,  85,   6, 175,  81,   8, 170,  79,  11, 168,  78,  10, 165,  75,   9, 165,  77,  11, 162,  75,   8, 162,  75,   8, 159,  72,   7, 161,  74,   4, 161,  74,   4,
   164,  75,   9, 167,  76,   9, 168,  80,   9, 171,  80,   6, 171,  79,   6, 169,  78,   6, 166,  79,   5,  13,  31,  38,  15,  32,  39,  17,  34,  41,  21,  36,  41,  21,  36,  43,  22,  36,  42,  20,  34,  40,  14,  30,  36,  12,  27,  33,  12,  25,  32,  10,  20,  28,   8,  18,  26,  16,  28,  36,  29,  40,  54,
    31,  42,  53,  39,  49,  59,  44,  56,  66,  56,  69,  79,  70,  84,  96,  63,  79,  91,  74,  89, 104,  60,  75,  90,  49,  63,  78,  52,  65,  82,  44,  55,  73,  52,  62,  80,  46,  56,  73,  43,  51,  69,  21,  29,  46,  44,  52,  66,  48,  57,  71,  56,  67,  80,  42,  51,  65,  42,  50,  64,  19,  26,  41,
    35,  42,  55,  73,  84,  98,  82,  97, 114, 112, 128, 140,  99, 115, 128,  88, 102, 119,  94, 110, 124, 103, 119, 134, 152, 166, 179, 138, 154, 167, 146, 162, 174, 169, 186, 197, 106, 121, 134, 150, 167, 179, 123, 139, 152, 128, 145, 159, 120, 135, 148, 148, 164, 176, 144, 160, 174, 171, 188, 197, 175, 192, 201,
   170, 187, 197, 176, 192, 203, 160, 177, 188, 168, 185, 196, 168, 186, 196, 174, 191, 202, 181, 197, 209, 206, 222, 231, 197, 213, 223, 199, 215, 226, 168, 185, 197, 165, 181, 193, 195, 213, 222, 183, 200, 210, 180, 196, 206, 184, 201, 210, 175, 191, 203, 171, 186, 200, 178, 195, 207, 183, 199, 209, 182, 199, 210,
   201, 218, 226, 169, 186, 198, 174, 191, 204, 170, 187, 199, 185, 200, 213, 187, 204, 215, 187, 205, 216, 191, 207, 220, 192, 208, 218, 200, 216, 228, 206, 222, 231, 209, 224, 234, 213, 230, 238, 220, 234, 244, 233, 247, 252, 218, 232, 240, 221, 235, 244, 225, 239, 247, 234, 248, 254, 229, 242, 251, 237, 250, 253,
   232, 246, 252, 231, 244, 252, 228, 242, 250, 227, 241, 251, 205, 221, 234, 210, 226, 236, 201, 218, 230, 206, 222, 232, 215, 230, 239, 211, 227, 238, 214, 230, 241, 220, 236, 243, 224, 240, 249, 232, 247, 253, 229, 243, 249, 241, 253, 255, 235, 250, 253, 238, 253, 255, 235, 249, 253, 225, 241, 251, 227, 242, 250,
   222, 238, 251, 220, 235, 245, 220, 234, 245, 223, 238, 247, 228, 242, 251, 235, 249, 253, 240, 253, 254, 236, 250, 252, 242, 253, 253, 243, 254, 254, 239, 253, 254, 240, 252, 253, 253, 255, 254, 246, 255, 254, 251, 255, 254, 250, 255, 254, 251, 254, 254, 244, 254, 253, 246, 255, 254, 235, 248, 254, 236, 251, 253,
   230, 245, 251, 226, 239, 247, 227, 239, 248, 216, 229, 237, 232, 246, 253, 240, 253, 254, 247, 254, 254, 253, 255, 255, 253, 254, 254, 253, 255, 254, 240, 253, 254, 241, 253, 252, 244, 254, 253, 243, 254, 254, 243, 253, 253, 244, 253, 255, 236, 252, 255, 237, 253, 254, 230, 247, 252, 234, 253, 253, 223, 241, 249,
   220, 237, 248, 220, 236, 251, 213, 230, 246, 208, 225, 241, 204, 223, 239, 195, 215, 230, 193, 211, 225, 190, 208, 218, 183, 194, 206, 178, 186, 196, 175, 182, 192, 180, 187, 197, 182, 191, 206, 183, 190, 201, 180, 182, 190, 180, 174, 183, 181, 179, 188, 172, 175, 187, 162, 175, 194, 161, 182, 207, 161, 184, 211,
   156, 183, 213, 164, 180, 199, 183, 158, 155, 192, 121,  79, 195, 113,  60, 196, 111,  52, 198, 112,  47, 198, 108,  42, 200, 109,  39, 202, 109,  37, 201, 108,  32, 201, 107,  28, 202, 107,  26, 204, 106,  22, 204, 108,  22, 205, 108,  19, 204, 106,  14, 206, 109,  18, 207, 109,  20, 208, 110,  21, 212, 112,  19,
   212, 111,  13, 209, 111,  13, 209, 109,  11, 207, 107,   9, 208, 107,   8, 206, 106,   3, 205, 104,   5, 206, 104,   8, 205, 103,   6, 203, 102,   6, 200, 100,   5, 199,  99,   6, 197,  98,   6, 198,  97,   6, 197,  97,   9, 197,  97,  10, 194,  93,   7, 194,  94,  10, 195,  96,  12, 192,  93,   7, 192,  93,   9,
   188,  89,   3, 188,  91,   4, 180,  86,   2, 175,  82,   9, 172,  81,  10, 168,  78,  12, 167,  77,  10, 165,  76,  10, 162,  75,   8, 163,  76,   9, 163,  76,  10, 162,  75,   9, 163,  75,   8, 163,  75,   7, 164,  77,  10, 166,  76,   9, 168,  78,   7, 172,  80,   7, 172,  80,   5, 171,  81,   6, 169,  79,   7,
    12,  31,  38,  13,  31,  38,  17,  36,  40,  21,  37,  43,  21,  39,  45,  23,  39,  43,  22,  39,  43,  21,  39,  41,  17,  33,  40,  13,  29,  34,  10,  22,  30,   6,  16,  24,  21,  31,  42,  30,  41,  53,  20,  30,  46,  44,  53,  64,  52,  64,  75,  62,  76,  88,  76,  92, 104,  81,  98, 110,  77,  92, 108,
    85, 100, 115,  71,  86, 103,  53,  65,  83,  60,  71,  89,  48,  58,  76,  60,  70,  87,  43,  51,  68,  29,  37,  53,  45,  53,  67,  56,  65,  79,  71,  83,  97,  74,  83,  98,  70,  80,  93,  35,  44,  58,  40,  48,  62,  32,  40,  54,  99, 115, 128, 106, 122, 135, 100, 117, 130,  98, 114, 127,  83,  98, 113,
   100, 116, 130, 115, 131, 144, 170, 188, 198, 158, 174, 186, 153, 169, 181, 157, 174, 185, 143, 161, 172, 143, 160, 173, 141, 158, 172, 136, 153, 165, 122, 138, 151, 145, 162, 175, 166, 183, 193, 164, 180, 190, 187, 204, 213, 187, 204, 214, 161, 179, 190, 167, 184, 194, 173, 190, 199, 186, 203, 212, 185, 202, 211,
   186, 203, 212, 191, 207, 218, 202, 219, 228, 177, 193, 205, 173, 189, 202, 164, 181, 194, 189, 206, 216, 187, 203, 214, 191, 208, 216, 187, 203, 214, 185, 202, 212, 169, 186, 198, 181, 198, 208, 177, 194, 207, 179, 195, 207, 198, 215, 224, 170, 186, 199, 184, 202, 213, 177, 194, 206, 195, 211, 222, 194, 212, 221,
   168, 185, 200, 189, 205, 217, 208, 224, 236, 202, 218, 229, 208, 224, 233, 215, 229, 238, 217, 231, 241, 229, 242, 250, 232, 245, 250, 216, 230, 240, 221, 235, 244, 221, 235, 244, 240, 251, 254, 227, 242, 249, 229, 243, 251, 238, 250, 253, 234, 246, 252, 232, 246, 253, 221, 235, 245, 212, 228, 240, 197, 215, 226,
   194, 211, 223, 210, 225, 237, 202, 219, 229, 221, 236, 244, 221, 238, 247, 227, 241, 250, 233, 247, 253, 224, 239, 247, 241, 254, 255, 239, 252, 254, 238, 252, 254, 240, 254, 254, 235, 251, 253, 233, 248, 255, 224, 238, 251, 216, 232, 245, 221, 237, 246, 224, 239, 248, 231, 245, 252, 239, 252, 253, 239, 253, 253,
   230, 246, 252, 240, 254, 254, 239, 252, 254, 239, 252, 254, 243, 253, 254, 251, 254, 254, 247, 255, 255, 249, 255, 254, 251, 255, 254, 244, 255, 254, 247, 254, 254, 246, 254, 254, 237, 251, 254, 239, 252, 253, 229, 243, 250, 234, 248, 254, 228, 241, 249, 227, 240, 248, 231, 245, 251, 236, 248, 251, 253, 254, 254,
   253, 254, 254, 254, 255, 255, 252, 255, 255, 249, 254, 254, 249, 254, 254, 249, 254, 253, 246, 254, 253, 241, 252, 253, 243, 252, 254, 230, 247, 253, 232, 248, 254, 230, 248, 252, 219, 234, 247, 219, 236, 248, 226, 244, 253, 220, 236, 251, 214, 230, 246, 213, 230, 246, 203, 223, 238, 200, 220, 237, 195, 213, 226,
   187, 203, 218, 184, 199, 211, 184, 195, 206, 179, 193, 205, 185, 196, 211, 180, 189, 200, 184, 182, 191, 183, 184, 193, 181, 183, 195, 182, 178, 188, 183, 172, 178, 182, 170, 177, 172, 179, 194, 162, 186, 210, 159, 185, 213, 155, 182, 207, 174, 167, 175, 192, 142, 122, 198, 128,  89, 202, 128,  82, 200, 126,  79,
   202, 125,  75, 200, 123,  70, 200, 121,  69, 204, 119,  66, 202, 119,  63, 205, 119,  57, 205, 118,  52, 205, 115,  43, 204, 111,  38, 199, 108,  24, 207, 109,  26, 208, 112,  31, 213, 112,  28, 211, 113,  26, 210, 111,  19, 212, 112,  22, 209, 109,  15, 210, 111,  20, 210, 109,  14, 208, 108,   9, 206, 105,   7,
   205, 106,   8, 203, 102,   6, 202, 101,   5, 201, 102,   6, 199, 100,   7, 200,  99,   7, 198,  99,   7, 198,  96,   7, 197,  96,   8, 198,  95,   8, 194,  94,   8, 194,  95,  11, 194,  93,   9, 194,  95,  11, 192,  93,   8, 188,  90,   4, 180,  85,   5, 174,  81,   9, 173,  81,  11, 168,  79,  13, 167,  79,  13,
   163,  76,  10, 165,  78,  12, 163,  76,  10, 161,  74,   7, 163,  76,  11, 161,  74,   7, 163,  76,   9, 161,  74,   8, 166,  75,   8, 168,  79,   9, 172,  80,   8, 172,  80,   8, 172,  81,   9, 169,  79,   8,  12,  31,  38,  15,  34,  40,  14,  34,  39,  19,  36,  42,  19,  38,  43,  22,  40,  45,  21,  40,  45,
    21,  38,  44,  22,  41,  44,  19,  36,  43,  16,  33,  39,  10,  27,  34,  13,  28,  36,  24,  34,  46,  17,  27,  43,  45,  56,  66,  55,  69,  81,  63,  78,  90,  74,  90, 104,  87, 104, 117,  89, 106, 120,  85, 101, 116,  80,  96, 113,  63,  75,  93,  56,  68,  86,  55,  65,  83,  51,  62,  79,  39,  47,  63,
    45,  54,  69,  57,  65,  79,  49,  59,  72,  72,  83,  97,  74,  86, 101,  79,  91, 104,  78,  91, 104,  38,  47,  60,  47,  54,  66,  82,  97, 110, 109, 125, 138, 103, 119, 132, 108, 123, 137,  81,  96, 111, 102, 116, 129,  83,  99, 114, 118, 134, 147, 160, 176, 188, 158, 174, 186, 141, 157, 170, 186, 202, 211,
   141, 158, 170, 146, 163, 175, 122, 138, 152, 136, 152, 167, 136, 153, 167, 178, 194, 203, 192, 209, 217, 169, 187, 197, 202, 218, 227, 170, 187, 198, 173, 190, 202, 172, 190, 200, 176, 192, 202, 191, 208, 217, 192, 208, 216, 179, 196, 209, 194, 212, 220, 184, 200, 212, 161, 178, 189, 172, 189, 201, 178, 195, 206,
   192, 209, 219, 192, 209, 218, 196, 212, 223, 197, 213, 222, 187, 204, 215, 159, 176, 190, 175, 192, 203, 176, 192, 204, 197, 214, 223, 194, 210, 222, 183, 200, 210, 171, 189, 200, 192, 209, 220, 186, 203, 215, 201, 216, 228, 177, 194, 206, 194, 211, 223, 195, 211, 223, 214, 231, 240, 207, 223, 233, 197, 215, 225,
   216, 231, 240, 217, 231, 241, 218, 234, 242, 222, 235, 244, 225, 239, 247, 232, 245, 251, 234, 247, 253, 230, 243, 251, 234, 247, 253, 234, 247, 254, 229, 244, 252, 231, 245, 252, 215, 229, 241, 196, 213, 223, 198, 215, 225, 202, 219, 230, 198, 214, 226, 218, 233, 243, 222, 237, 246, 227, 243, 251, 232, 246, 252,
   226, 239, 247, 238, 251, 254, 235, 248, 254, 241, 253, 254, 249, 255, 254, 240, 254, 254, 235, 251, 254, 225, 240, 252, 220, 237, 248, 229, 245, 252, 229, 245, 253, 233, 249, 252, 243, 254, 255, 235, 249, 255, 234, 249, 253, 238, 252, 255, 237, 252, 254, 237, 250, 254, 244, 254, 254, 249, 254, 253, 249, 255, 254,
   251, 255, 254, 252, 254, 254, 240, 253, 254, 250, 255, 254, 247, 254, 254, 240, 254, 254, 239, 252, 254, 232, 246, 253, 226, 239, 247, 226, 239, 248, 228, 240, 247, 235, 247, 254, 243, 252, 253, 247, 254, 254, 252, 255, 254, 255, 255, 255, 254, 255, 255, 251, 254, 254, 252, 255, 255, 250, 255, 254, 242, 253, 252,
   239, 252, 253, 233, 250, 254, 234, 250, 253, 226, 242, 251, 226, 243, 250, 229, 246, 250, 229, 244, 254, 229, 247, 253, 227, 244, 253, 221, 238, 252, 208, 224, 241, 211, 230, 246, 205, 223, 239, 203, 220, 237, 195, 213, 226, 190, 209, 223, 189, 207, 222, 185, 203, 218, 181, 199, 215, 186, 206, 222, 178, 196, 209,
   181, 198, 212, 187, 197, 207, 184, 186, 196, 181, 176, 184, 182, 173, 177, 178, 176, 186, 168, 184, 201, 166, 191, 217, 158, 187, 214, 166, 182, 197, 187, 153, 146, 198, 126,  84, 200, 121,  68, 199, 119,  62, 202, 114,  53, 201, 113,  49, 201, 109,  38, 204, 111,  44, 201, 108,  41, 201, 109,  41, 202, 109,  37,
   203, 111,  41, 203, 114,  50, 206, 119,  56, 208, 121,  59, 208, 119,  61, 211, 122,  59, 211, 118,  51, 210, 116,  36, 211, 112,  26, 210, 114,  25, 212, 113,  23, 211, 111,  15, 208, 108,   9, 206, 105,   6, 204, 105,   7, 201, 104,   8, 203, 103,   6, 202, 101,   6, 202, 102,   6, 199,  99,   5, 201,  99,   7,
   199,  96,   9, 195,  97,   9, 196,  95,   7, 197,  94,   8, 194,  95,   9, 194,  93,   6, 192,  92,   6, 189,  92,   4, 184,  88,   1, 177,  83,   5, 172,  82,  12, 168,  79,  13, 165,  79,  13, 165,  78,  12, 166,  79,  16, 162,  75,  11, 162,  75,  10, 162,  75,  10, 159,  73,   6, 160,  74,   9, 161,  76,   9,
   161,  75,   9, 163,  76,  11, 168,  79,  11, 171,  81,  10, 171,  79,   8, 171,  79,   8, 169,  81,   6,  11,  32,  37,  12,  31,  38,  14,  33,  40,  15,  34,  41,  18,  38,  43,  19,  38,  43,  21,  40,  45,  21,  40,  45,  24,  42,  47,  24,  43,  48,  22,  40,  45,  17,  36,  41,  12,  28,  36,  14,  25,  40,
    16,  28,  42,  39,  49,  60,  53,  66,  79,  59,  72,  87,  73,  89, 102,  83,  99, 114,  88, 104, 120,  90, 106, 122,  86, 102, 117,  64,  78,  96,  65,  79,  97,  56,  68,  86,  50,  60,  78,  52,  60,  76,  47,  56,  70,  45,  52,  66,  82,  95, 108,  63,  74,  88,  54,  65,  78,  72,  84,  98,  73,  86,  99,
    76,  89, 102,  71,  83,  94,  75,  89, 103, 116, 131, 146, 104, 120, 135,  93, 109, 123,  92, 107, 121,  74,  86, 102, 132, 148, 161, 104, 120, 134, 158, 175, 184, 161, 176, 187, 159, 176, 185, 164, 180, 189, 170, 187, 199, 138, 155, 167, 131, 147, 161, 159, 175, 188, 127, 145, 157, 165, 181, 193, 198, 215, 224,
   175, 192, 202, 195, 211, 221, 192, 207, 219, 175, 193, 201, 165, 183, 193, 173, 190, 201, 190, 207, 217, 201, 218, 227, 186, 203, 213, 185, 201, 211, 188, 204, 215, 179, 195, 207, 167, 185, 195, 174, 191, 200, 195, 212, 221, 199, 215, 225, 198, 215, 224, 192, 208, 219, 182, 198, 209, 166, 183, 195, 168, 185, 198,
   185, 201, 213, 205, 222, 231, 203, 219, 229, 205, 223, 231, 185, 201, 211, 200, 216, 228, 180, 198, 209, 189, 206, 217, 200, 215, 227, 187, 203, 215, 189, 207, 218, 192, 210, 221, 206, 222, 231, 209, 225, 234, 209, 226, 236, 205, 221, 232, 225, 238, 247, 218, 232, 240, 224, 238, 246, 235, 248, 253, 232, 244, 252,
   240, 253, 253, 235, 247, 252, 236, 249, 254, 235, 250, 253, 233, 247, 254, 227, 241, 249, 211, 227, 238, 193, 209, 221, 192, 210, 220, 201, 217, 230, 222, 237, 247, 217, 232, 243, 218, 234, 245, 230, 245, 251, 224, 239, 248, 234, 247, 253, 233, 246, 252, 241, 254, 254, 248, 255, 254, 243, 254, 254, 239, 253, 254,
   231, 245, 255, 230, 245, 252, 231, 247, 253, 230, 245, 253, 236, 251, 254, 238, 250, 254, 234, 247, 254, 233, 247, 253, 235, 248, 253, 237, 250, 252, 233, 246, 252, 245, 253, 253, 252, 254, 254, 251, 255, 254, 253, 255, 255, 250, 254, 254, 245, 253, 255, 250, 255, 254, 250, 255, 254, 247, 254, 254, 235, 251, 253,
   233, 247, 254, 232, 249, 253, 225, 240, 249, 231, 244, 251, 234, 246, 252, 243, 253, 254, 249, 254, 254, 254, 255, 255, 255, 255, 255, 251, 255, 254, 250, 255, 255, 252, 254, 254, 244, 254, 254, 249, 255, 254, 239, 254, 254, 236, 250, 253, 236, 251, 253, 233, 250, 254, 229, 246, 251, 232, 249, 253, 230, 246, 253,
   231, 247, 253, 225, 241, 253, 211, 228, 243, 219, 236, 251, 217, 235, 251, 210, 228, 244, 202, 222, 239, 201, 222, 239, 202, 224, 243, 193, 217, 234, 196, 219, 235, 184, 207, 225, 188, 211, 230, 189, 210, 225, 186, 204, 220, 186, 200, 215, 185, 195, 206, 188, 195, 208, 192, 201, 211, 190, 192, 197, 186, 193, 203,
   182, 201, 223, 171, 200, 228, 166, 193, 215, 187, 176, 179, 200, 153, 139, 202, 137, 108, 204, 127,  83, 205, 126,  76, 206, 122,  67, 209, 122,  61, 206, 116,  54, 205, 116,  51, 205, 113,  47, 207, 114,  42, 207, 114,  42, 205, 111,  37, 205, 111,  35, 209, 114,  34, 213, 116,  36, 213, 113,  28, 213, 115,  36,
   216, 120,  47, 210, 123,  56, 208, 119,  56, 208, 117,  47, 208, 114,  26, 208, 109,  14, 205, 108,  13, 204, 105,  14, 201, 104,  10, 201, 103,   7, 201, 102,   6, 200, 102,   7, 200, 100,   8, 198,  98,   8, 196,  97,   9, 196,  98,  11, 195,  96,   9, 194,  95,  10, 194,  95,  10, 192,  93,   8, 194,  91,   5,
   188,  89,   3, 180,  85,   6, 172,  79,   6, 168,  80,  12, 166,  79,  13, 165,  79,  14, 163,  76,  11, 162,  75,  10, 159,  73,   8, 157,  72,  12, 155,  72,   9, 155,  71,   8, 155,  72,   9, 158,  74,   9, 160,  75,  11, 162,  75,  11, 166,  79,  15, 170,  80,  12, 171,  80,  10, 172,  82,  10, 170,  83,   8,
     8,  31,  37,  12,  33,  39,  15,  34,  40,  15,  35,  40,  18,  37,  42,  18,  38,  43,  21,  41,  46,  22,  41,  46,  23,  43,  48,  24,  44,  49,  25,  44,  50,  25,  44,  49,  20,  39,  44,  22,  37,  45,  21,  35,  47,  36,  47,  56,  50,  61,  72,  58,  72,  86,  63,  78,  94,  77,  93, 109,  77,  95, 109,
    89, 104, 118,  94, 110, 125,  70,  85, 102,  71,  85, 102,  70,  86, 102,  51,  60,  78,  52,  63,  78,  53,  62,  76,  51,  58,  73,  57,  70,  84,  67,  78,  92,  64,  74,  88,  64,  75,  90,  95, 106, 120,  96, 110, 124,  77,  91, 103, 101, 117, 131, 109, 124, 138, 108, 125, 138,  83,  98, 113, 108, 124, 138,
    80,  94, 108,  99, 115, 128, 118, 133, 149, 143, 159, 170, 182, 198, 207, 165, 182, 192, 186, 203, 210, 184, 201, 209, 175, 193, 203, 156, 172, 185, 161, 177, 190, 128, 145, 160, 154, 171, 182, 180, 198, 206, 193, 211, 219, 196, 212, 222, 195, 211, 220, 190, 207, 216, 178, 194, 205, 161, 177, 189, 197, 214, 225,
   178, 195, 206, 191, 207, 219, 183, 199, 211, 196, 213, 222, 184, 202, 210, 173, 191, 202, 179, 196, 206, 169, 185, 197, 196, 212, 222, 199, 216, 224, 194, 210, 221, 198, 215, 225, 171, 188, 201, 174, 191, 204, 159, 175, 191, 176, 192, 206, 209, 225, 233, 201, 216, 227, 211, 227, 236, 201, 217, 228, 187, 206, 217,
   199, 216, 227, 199, 217, 226, 209, 224, 236, 188, 205, 216, 179, 195, 209, 205, 221, 232, 202, 217, 228, 212, 228, 237, 206, 221, 230, 207, 224, 233, 228, 239, 250, 223, 238, 247, 227, 241, 249, 226, 240, 248, 237, 249, 252, 231, 245, 251, 238, 250, 254, 236, 249, 253, 233, 247, 253, 236, 250, 253, 222, 235, 248,
   188, 206, 217, 187, 204, 216, 199, 216, 228, 216, 232, 241, 216, 231, 242, 220, 235, 245, 225, 240, 248, 225, 240, 249, 236, 251, 254, 240, 253, 254, 238, 253, 254, 248, 255, 255, 253, 254, 254, 239, 254, 254, 231, 247, 254, 233, 249, 255, 234, 249, 253, 230, 247, 254, 230, 245, 252, 235, 249, 254, 234, 248, 254,
   226, 241, 249, 231, 246, 253, 237, 250, 253, 236, 250, 253, 247, 254, 253, 255, 255, 255, 254, 255, 255, 249, 255, 254, 253, 255, 254, 254, 254, 255, 251, 255, 255, 254, 254, 254, 245, 255, 254, 236, 251, 254, 233, 249, 254, 228, 243, 251, 222, 236, 244, 237, 249, 252, 236, 248, 252, 238, 250, 253, 255, 254, 255,
   255, 255, 255, 253, 255, 255, 249, 255, 254, 250, 254, 254, 252, 255, 255, 249, 253, 253, 252, 254, 254, 240, 254, 253, 240, 253, 253, 237, 251, 254, 233, 248, 251, 240, 253, 254, 234, 249, 254, 233, 250, 253, 231, 248, 253, 222, 239, 250, 228, 245, 254, 222, 239, 252, 216, 234, 251, 210, 228, 244, 205, 226, 243,
   201, 220, 237, 195, 217, 235, 191, 213, 230, 188, 208, 224, 190, 208, 224, 188, 204, 217, 186, 190, 199, 186, 182, 188, 185, 176, 184, 190, 181, 187, 190, 181, 187, 189, 184, 191, 190, 181, 189, 182, 173, 179, 179, 174, 188, 167, 191, 216, 161, 188, 215, 178, 176, 180, 197, 144, 130, 199, 136, 114, 203, 129,  90,
   204, 126,  77, 205, 119,  62, 205, 117,  53, 209, 117,  50, 208, 116,  48, 209, 116,  44, 207, 115,  39, 209, 115,  43, 207, 113,  39, 209, 115,  40, 211, 113,  31, 210, 111,  25, 214, 116,  29, 214, 116,  28, 216, 118,  29, 213, 115,  26, 212, 113,  24, 208, 110,  27, 211, 114,  35, 205, 114,  43, 201, 111,  39,
   202, 109,  37, 200, 101,  16, 202, 104,  15, 201, 101,  11, 200, 101,  11, 198,  98,   9, 198,  99,  12, 197,  99,  13, 192,  93,   8, 193,  94,  10, 191,  93,   8, 193,  96,  12, 187,  92,   6, 185,  87,   3, 179,  86,  11, 172,  83,  17, 168,  80,  15, 165,  78,  16, 163,  76,  17, 159,  75,  12, 156,  73,   7,
   153,  72,   8, 151,  71,   9, 149,  70,  12, 148,  70,  13, 150,  70,  14, 151,  69,  15, 154,  74,  14, 155,  75,  15, 156,  75,  16, 158,  76,  13, 165,  79,  15, 166,  79,  13, 167,  78,  10, 167,  80,   9,   5,  31,  36,  10,  34,  40,  12,  35,  39,  16,  37,  42,  18,  37,  42,  20,  39,  45,  22,  41,  48,
    21,  41,  46,  23,  43,  48,  23,  43,  48,  25,  45,  50,  28,  47,  52,  26,  45,  50,  26,  45,  51,  29,  46,  54,  37,  53,  61,  49,  64,  73,  56,  72,  85,  59,  73,  88,  61,  76,  90,  67,  83,  99,  82,  98, 114,  76,  92, 108,  71,  86, 102,  68,  82,  99,  68,  80,  98,  60,  71,  88,  51,  59,  75,
    45,  54,  68,  61,  71,  85,  49,  59,  74,  44,  54,  69,  64,  73,  87,  58,  67,  80,  72,  82,  95, 103, 119, 133,  76,  91, 106, 121, 138, 150, 115, 131, 143, 128, 144, 158,  91, 108, 121, 108, 125, 139,  93, 108, 124,  91, 106, 122, 115, 131, 145, 118, 134, 146, 189, 204, 212, 191, 207, 217, 182, 199, 206,
   191, 208, 217, 209, 225, 233, 181, 199, 209, 158, 176, 187, 140, 158, 170, 153, 169, 182, 175, 193, 202, 184, 201, 211, 196, 213, 222, 198, 215, 224, 192, 209, 218, 187, 203, 214, 156, 173, 185, 183, 199, 211, 182, 200, 211, 180, 197, 209, 182, 199, 210, 180, 197, 208, 178, 194, 207, 176, 193, 205, 164, 181, 193,
   176, 193, 205, 179, 196, 207, 189, 206, 217, 197, 213, 225, 196, 213, 224, 183, 199, 211, 183, 200, 212, 157, 175, 191, 154, 171, 187, 187, 203, 214, 213, 227, 238, 185, 202, 212, 206, 222, 232, 186, 203, 216, 181, 198, 211, 197, 213, 225, 199, 215, 226, 215, 230, 238, 172, 188, 204, 191, 207, 220, 217, 232, 244,
   215, 231, 241, 222, 235, 244, 216, 233, 241, 217, 232, 243, 227, 243, 249, 228, 243, 250, 231, 243, 251, 233, 245, 251, 234, 247, 253, 232, 245, 252, 237, 250, 253, 236, 251, 253, 230, 243, 250, 234, 246, 252, 213, 229, 238, 188, 205, 217, 200, 216, 228, 205, 222, 231, 214, 230, 240, 220, 237, 245, 230, 246, 253,
   225, 240, 250, 232, 247, 251, 239, 252, 253, 240, 254, 255, 250, 254, 255, 250, 255, 254, 240, 254, 254, 237, 251, 254, 235, 249, 255, 236, 251, 253, 229, 245, 254, 231, 245, 253, 231, 245, 254, 226, 241, 249, 228, 243, 252, 227, 243, 250, 231, 244, 250, 235, 249, 254, 252, 254, 254, 252, 255, 255, 254, 255, 255,
   251, 255, 255, 254, 255, 255, 255, 255, 255, 253, 255, 255, 255, 255, 255, 243, 254, 253, 235, 251, 253, 235, 250, 255, 226, 241, 249, 226, 242, 248, 232, 244, 252, 228, 241, 247, 244, 254, 254, 253, 255, 254, 253, 255, 255, 249, 255, 254, 247, 254, 253, 249, 254, 253, 253, 254, 254, 252, 254, 254, 251, 255, 254,
   238, 254, 254, 238, 251, 254, 232, 247, 251, 245, 254, 254, 237, 252, 253, 237, 250, 254, 236, 250, 254, 228, 245, 251, 232, 249, 254, 228, 245, 253, 223, 241, 253, 213, 232, 247, 201, 220, 237, 196, 217, 232, 186, 206, 223, 188, 208, 225, 188, 207, 225, 189, 210, 227, 187, 206, 221, 188, 206, 220, 189, 200, 212,
   193, 200, 210, 189, 196, 207, 196, 203, 213, 197, 202, 212, 195, 195, 202, 194, 191, 200, 190, 187, 196, 186, 185, 195, 175, 187, 205, 165, 191, 221, 175, 178, 191, 194, 143, 124, 201, 135, 108, 200, 129,  92, 203, 125,  76, 206, 123,  67, 206, 118,  55, 209, 117,  49, 208, 115,  40, 211, 117,  40, 208, 116,  37,
   209, 115,  38, 207, 113,  37, 209, 114,  36, 214, 115,  33, 215, 117,  33, 217, 119,  32, 214, 116,  29, 215, 116,  28, 215, 115,  26, 214, 116,  27, 212, 114,  26, 210, 112,  26, 206, 109,  21, 203, 107,  23, 203, 106,  36, 200, 108,  41, 197, 107,  39, 200, 105,  29, 196,  99,  18, 195,  96,  13, 192,  97,  13,
   193,  97,  16, 189,  94,  15, 188,  95,  14, 187,  94,  13, 181,  89,   6, 181,  88,   7, 177,  85,  13, 168,  81,  18, 165,  78,  19, 162,  76,  14, 159,  76,  16, 156,  73,  15, 153,  71,  11, 151,  71,   9, 148,  70,   9, 147,  69,  11, 145,  68,  12, 145,  68,  12, 145,  69,  16, 146,  68,  18, 149,  69,  15,
   150,  71,  12, 152,  72,  14, 157,  75,  17, 160,  76,  17, 161,  77,  16, 162,  76,  13, 163,  78,  14,   9,  33,  38,  12,  33,  39,  15,  36,  42,  18,  39,  44,  20,  40,  44,  20,  40,  46,  23,  42,  48,  22,  42,  47,  24,  44,  49,  24,  44,  49,  25,  46,  51,  26,  46,  51,  30,  49,  54,  32,  51,  56,
    35,  54,  60,  39,  57,  64,  47,  64,  72,  57,  74,  86,  54,  70,  84,  60,  76,  90,  68,  83,  99,  72,  87, 102,  70,  85, 102,  69,  84, 100,  66,  80,  97,  65,  77,  95,  61,  74,  90,  64,  77,  93,  55,  63,  78,  62,  73,  87,  40,  52,  66,  47,  58,  72,  24,  29,  42,  54,  64,  77,  55,  65,  76,
   109, 125, 136, 107, 123, 135, 102, 118, 131, 114, 131, 144, 137, 153, 166, 113, 130, 143, 110, 127, 140,  94, 110, 125, 110, 126, 139, 117, 134, 147, 127, 143, 157, 168, 185, 195, 196, 212, 221, 186, 202, 212, 171, 187, 200, 198, 213, 221, 198, 214, 222, 161, 178, 189, 166, 183, 194, 155, 173, 184, 177, 194, 205,
   179, 196, 206, 196, 215, 222, 200, 217, 227, 203, 220, 229, 182, 198, 210, 178, 194, 208, 156, 173, 188, 168, 185, 198, 171, 189, 201, 178, 196, 207, 153, 172, 186, 162, 179, 192, 164, 183, 195, 162, 180, 193, 162, 180, 191, 161, 178, 193, 179, 197, 210, 189, 206, 217, 205, 223, 231, 218, 233, 244, 197, 213, 224,
   172, 188, 201, 158, 175, 189, 181, 198, 210, 198, 215, 226, 221, 237, 245, 203, 219, 228, 192, 209, 219, 188, 204, 215, 209, 225, 235, 202, 218, 228, 223, 237, 247, 194, 212, 222, 186, 202, 217, 192, 208, 222, 209, 224, 238, 211, 228, 237, 208, 224, 233, 223, 237, 244, 215, 230, 239, 231, 242, 251, 234, 248, 254,
   237, 249, 253, 235, 249, 254, 230, 244, 250, 235, 248, 254, 237, 252, 254, 234, 246, 252, 238, 251, 254, 233, 247, 253, 192, 209, 219, 202, 218, 230, 207, 225, 233, 221, 236, 245, 220, 237, 246, 227, 243, 251, 226, 241, 250, 234, 248, 253, 235, 250, 253, 238, 252, 253, 250, 254, 254, 243, 254, 254, 239, 253, 254,
   239, 255, 254, 234, 249, 253, 235, 250, 253, 232, 245, 254, 231, 246, 254, 228, 242, 251, 222, 238, 248, 219, 235, 243, 225, 240, 247, 225, 240, 246, 234, 248, 252, 245, 254, 253, 254, 255, 255, 253, 255, 255, 254, 255, 255, 255, 255, 255, 252, 255, 255, 254, 255, 255, 254, 255, 255, 241, 254, 252, 241, 253, 255,
   236, 250, 253, 223, 236, 246, 234, 248, 254, 232, 245, 250, 235, 248, 251, 243, 253, 253, 255, 254, 254, 254, 255, 255, 251, 254, 254, 250, 254, 254, 248, 254, 254, 247, 254, 254, 250, 254, 254, 235, 249, 252, 241, 253, 253, 235, 248, 253, 243, 254, 253, 239, 254, 253, 238, 251, 254, 241, 253, 254, 231, 248, 253,
   235, 252, 254, 231, 248, 254, 231, 249, 253, 217, 232, 248, 202, 222, 237, 194, 214, 228, 194, 214, 229, 193, 213, 229, 179, 198, 214, 181, 201, 219, 187, 209, 225, 191, 212, 231, 190, 214, 231, 188, 204, 219, 187, 200, 213, 182, 197, 213, 185, 201, 217, 188, 203, 218, 190, 200, 211, 189, 191, 202, 190, 191, 201,
   190, 191, 201, 186, 193, 208, 170, 196, 223, 173, 188, 206, 190, 152, 142, 202, 138, 112, 203, 135,  99, 204, 125,  77, 208, 119,  61, 208, 119,  57, 208, 115,  45, 208, 115,  39, 207, 114,  36, 210, 115,  37, 210, 114,  36, 208, 116,  36, 211, 114,  35, 210, 112,  28, 216, 119,  37, 215, 118,  32, 217, 119,  32,
   216, 118,  30, 215, 116,  25, 215, 117,  29, 212, 116,  27, 207, 110,  23, 207, 108,  23, 204, 105,  20, 202, 105,  26, 198, 102,  26, 196, 103,  33, 191,  99,  36, 188, 101,  44, 185, 101,  44, 184,  96,  25, 183,  91,  16, 182,  93,  17, 182,  90,  19, 176,  87,  19, 175,  87,  16, 173,  85,  21, 170,  80,  20,
   166,  78,  21, 159,  75,  16, 157,  75,  17, 153,  71,  12, 152,  71,  14, 154,  73,  16, 150,  70,  12, 147,  70,  14, 143,  69,  12, 144,  69,  13, 144,  67,  13, 144,  67,  16, 143,  68,  18, 147,  69,  18, 149,  71,  17, 151,  72,  16, 155,  75,  18, 158,  74,  19, 157,  76,  19, 157,  75,  14, 158,  76,  12,
     9,  33,  37,  13,  36,  41,  14,  36,  41,  19,  38,  43,  20,  40,  45,  20,  39,  46,  21,  41,  46,  22,  43,  48,  22,  42,  47,  25,  44,  49,  26,  46,  51,  28,  46,  51,  32,  51,  56,  34,  53,  58,  39,  58,  63,  43,  62,  68,  52,  70,  77,  59,  75,  86,  67,  83,  95,  65,  81,  96,  69,  86, 102,
    61,  76,  93,  66,  80,  98,  58,  72,  90,  68,  84, 100,  60,  72,  91,  63,  74,  91,  61,  72,  88,  75,  87, 101,  79,  92, 106,  81,  93, 110,  66,  79,  92,  30,  37,  50,  32,  36,  47,  67,  79,  91,  87, 100, 114, 120, 137, 150,  96, 112, 124, 115, 132, 146, 111, 128, 141, 123, 139, 153, 117, 134, 148,
   113, 128, 144, 120, 136, 149, 129, 145, 158, 129, 147, 158, 137, 154, 166, 187, 202, 212, 176, 192, 200, 190, 207, 216, 190, 206, 217, 198, 215, 225, 185, 202, 213, 165, 181, 194, 181, 197, 210, 170, 187, 200, 167, 183, 195, 194, 211, 221, 195, 212, 223, 185, 202, 213, 184, 201, 213, 169, 187, 199, 155, 174, 186,
   152, 171, 186, 147, 166, 181, 137, 159, 172, 140, 162, 175, 146, 165, 178, 143, 164, 178, 152, 173, 185, 162, 182, 192, 171, 188, 199, 168, 187, 199, 179, 197, 208, 187, 203, 215, 196, 212, 224, 196, 212, 225, 184, 200, 211, 178, 195, 207, 160, 177, 191, 163, 180, 195, 191, 207, 218, 210, 224, 235, 225, 238, 246,
   205, 220, 231, 202, 219, 230, 211, 227, 236, 222, 235, 244, 208, 222, 232, 194, 210, 221, 208, 223, 233, 203, 219, 229, 200, 217, 228, 223, 240, 248, 215, 229, 240, 225, 239, 247, 224, 237, 247, 225, 240, 249, 238, 250, 254, 238, 250, 254, 240, 253, 255, 232, 246, 253, 238, 250, 253, 237, 249, 254, 231, 245, 252,
   234, 249, 253, 197, 213, 226, 201, 218, 229, 219, 235, 244, 218, 234, 243, 220, 235, 244, 224, 239, 248, 227, 242, 250, 231, 246, 253, 236, 250, 253, 237, 252, 254, 245, 254, 254, 239, 254, 253, 244, 254, 254, 241, 254, 253, 230, 247, 253, 232, 248, 255, 231, 245, 253, 232, 247, 254, 227, 242, 251, 220, 235, 244,
   219, 235, 244, 226, 242, 249, 233, 246, 252, 239, 251, 252, 249, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 253, 255, 255, 251, 255, 255, 254, 255, 255, 250, 255, 255, 241, 254, 254, 242, 254, 253, 237, 251, 253, 232, 246, 252, 230, 244, 251, 230, 244, 250, 238, 251, 254, 245, 252, 252, 253, 254, 254,
   253, 255, 255, 255, 255, 255, 247, 255, 254, 244, 255, 254, 244, 254, 254, 239, 254, 253, 240, 254, 254, 239, 253, 254, 241, 252, 254, 240, 253, 253, 244, 254, 253, 240, 254, 254, 233, 251, 253, 239, 253, 254, 234, 252, 252, 229, 245, 254, 222, 238, 249, 216, 232, 245, 205, 223, 237, 197, 216, 230, 198, 215, 230,
   190, 209, 223, 186, 201, 212, 193, 209, 221, 191, 206, 220, 192, 210, 226, 189, 207, 224, 192, 204, 216, 191, 195, 204, 194, 195, 206, 193, 191, 199, 193, 191, 199, 194, 189, 197, 191, 184, 192, 191, 180, 187, 192, 184, 194, 192, 189, 198, 181, 200, 220, 171, 194, 214, 189, 173, 174, 200, 149, 130, 205, 140, 111,
   208, 137,  98, 208, 130,  84, 209, 120,  65, 212, 118,  46, 213, 119,  46, 213, 118,  43, 212, 118,  42, 211, 118,  41, 210, 116,  40, 210, 115,  39, 213, 118,  38, 213, 117,  36, 214, 119,  41, 216, 118,  35, 216, 119,  36, 212, 114,  27, 213, 116,  29, 209, 113,  26, 205, 108,  27, 201, 106,  23, 199, 104,  19,
   198, 103,  24, 195, 100,  26, 192,  98,  26, 188,  95,  28, 182,  94,  28, 176,  91,  33, 177,  96,  40, 178,  95,  44, 175,  90,  34, 176,  86,  31, 173,  86,  29, 171,  83,  25, 168,  80,  24, 167,  78,  20, 162,  77,  18, 155,  74,  13, 153,  72,  10, 151,  71,  10, 151,  71,  14, 148,  68,  13, 147,  68,  16,
   145,  69,  18, 144,  68,  18, 142,  66,  15, 144,  68,  16, 143,  68,  17, 145,  69,  20, 146,  68,  20, 147,  71,  19, 152,  72,  17, 157,  75,  21, 157,  74,  19, 156,  75,  18, 156,  74,  17, 156,  75,  15,  13,  35,  41,  13,  35,  40,  16,  37,  42,  17,  37,  44,  21,  41,  46,  20,  40,  45,  23,  43,  48,
    24,  44,  49,  24,  44,  49,  29,  49,  54,  32,  51,  56,  32,  51,  56,  34,  53,  58,  37,  56,  61,  40,  59,  64,  42,  62,  67,  53,  71,  78,  70,  88,  98,  93, 111, 123,  79,  97, 112,  82,  98, 115,  67,  84,  99,  53,  67,  85,  60,  74,  92,  55,  69,  87,  73,  87, 104,  54,  66,  84,  57,  68,  85,
    76,  88, 103,  66,  78,  92,  77,  90, 106,  63,  76,  92,  62,  72,  85,  61,  68,  79,  71,  81,  92,  78,  93, 106, 104, 121, 133, 124, 140, 154, 133, 150, 162, 116, 132, 144, 143, 160, 171, 112, 129, 143, 128, 144, 158, 129, 146, 158, 141, 157, 170, 132, 149, 162, 150, 166, 178, 173, 190, 198, 195, 213, 220,
   192, 208, 219, 191, 208, 216, 197, 214, 222, 204, 221, 230, 182, 198, 210, 162, 180, 190, 179, 196, 207, 159, 176, 189, 180, 197, 209, 171, 189, 201, 167, 187, 198, 157, 177, 191, 137, 158, 171, 155, 176, 188, 136, 159, 172, 130, 154, 169, 119, 143, 159, 133, 158, 170, 124, 148, 165, 122, 146, 159, 132, 156, 168,
   153, 172, 184, 175, 193, 202, 186, 204, 214, 177, 194, 206, 181, 198, 211, 189, 206, 218, 195, 211, 224, 192, 209, 221, 185, 201, 213, 191, 208, 219, 173, 190, 203, 159, 176, 192, 176, 193, 207, 214, 229, 238, 212, 227, 240, 214, 231, 238, 203, 217, 229, 207, 222, 233, 222, 237, 247, 215, 231, 241, 214, 229, 237,
   215, 230, 239, 206, 221, 231, 220, 235, 243, 222, 236, 246, 218, 233, 242, 228, 241, 249, 228, 243, 250, 230, 245, 250, 234, 247, 252, 241, 254, 253, 231, 245, 253, 238, 251, 253, 235, 249, 254, 230, 245, 252, 234, 248, 251, 203, 219, 232, 198, 214, 225, 216, 233, 242, 223, 238, 246, 219, 235, 244, 222, 237, 246,
   233, 245, 253, 229, 244, 252, 235, 248, 254, 239, 252, 255, 239, 254, 254, 239, 253, 254, 242, 254, 255, 242, 253, 253, 234, 248, 253, 234, 250, 254, 229, 245, 253, 229, 245, 253, 226, 241, 250, 223, 240, 248, 223, 238, 247, 228, 243, 251, 232, 246, 253, 241, 254, 255, 250, 254, 254, 251, 254, 254, 253, 255, 255,
   255, 255, 255, 255, 255, 255, 251, 255, 254, 246, 255, 254, 243, 254, 253, 241, 253, 253, 242, 254, 254, 241, 255, 254, 234, 249, 253, 236, 250, 253, 231, 244, 248, 244, 254, 254, 248, 254, 254, 254, 254, 254, 253, 255, 255, 254, 255, 255, 245, 254, 254, 248, 254, 253, 249, 254, 255, 236, 251, 254, 241, 254, 253,
   242, 254, 254, 248, 254, 254, 245, 254, 254, 244, 254, 253, 239, 252, 254, 236, 250, 253, 231, 248, 253, 227, 246, 253, 220, 238, 249, 213, 230, 244, 213, 230, 244, 210, 227, 239, 202, 220, 231, 201, 216, 228, 196, 212, 224, 202, 219, 230, 199, 216, 226, 190, 202, 212, 193, 202, 212, 189, 199, 212, 194, 207, 217,
   196, 196, 202, 190, 176, 176, 193, 167, 165, 193, 164, 158, 196, 161, 152, 198, 152, 136, 201, 153, 137, 199, 162, 155, 194, 170, 170, 187, 178, 190, 169, 191, 209, 181, 182, 189, 196, 157, 148, 201, 148, 129, 205, 136, 101, 208, 136,  99, 211, 132,  89, 212, 126,  65, 209, 120,  46, 211, 117,  42, 211, 117,  43,
   211, 117,  43, 210, 116,  42, 211, 116,  42, 209, 115,  38, 212, 117,  39, 216, 120,  47, 214, 119,  40, 212, 115,  36, 210, 113,  30, 204, 109,  28, 200, 109,  34, 197, 105,  35, 198, 103,  33, 195, 102,  27, 193, 100,  29, 189,  96,  25, 187,  96,  26, 180,  91,  24, 178,  91,  27, 178,  90,  31, 172,  86,  31,
   171,  85,  36, 172,  86,  43, 171,  88,  44, 172,  87,  41, 167,  82,  31, 168,  81,  26, 162,  77,  19, 157,  74,  11, 154,  74,  12, 152,  72,  11, 152,  73,  14, 148,  70,  14, 150,  69,  14, 144,  69,  16, 145,  68,  20, 144,  68,  19, 144,  67,  18, 143,  67,  18, 144,  67,  19, 145,  69,  19, 146,  70,  21,
   146,  70,  17, 153,  73,  20, 158,  76,  24, 157,  75,  20, 156,  75,  19, 157,  76,  19, 154,  73,  16,  14,  36,  40,  16,  37,  43,  19,  38,  45,  21,  40,  47,  24,  43,  49,  23,  43,  48,  26,  46,  51,  27,  47,  52,  30,  49,  54,  33,  52,  57,  34,  53,  58,  34,  53,  58,  37,  56,  61,  36,  55,  60,
    40,  59,  64,  40,  59,  65,  44,  61,  68,  93, 109, 122, 100, 119, 133, 114, 133, 149,  96, 112, 130,  80,  97, 114,  58,  73,  91,  48,  62,  80,  49,  62,  80,  59,  72,  89,  76,  90, 105,  61,  73,  90,  73,  85, 100,  88, 104, 119,  71,  85, 100,  74,  88, 102,  61,  70,  83,  57,  69,  80,  62,  75,  86,
    81,  96, 109,  90, 107, 119, 121, 137, 150, 140, 158, 169, 152, 168, 179, 156, 172, 181, 122, 139, 154, 144, 161, 173, 148, 165, 176, 147, 162, 175, 148, 164, 176, 148, 165, 176, 164, 180, 191, 177, 194, 202, 204, 222, 230, 190, 207, 216, 197, 213, 223, 207, 223, 232, 186, 203, 213, 158, 177, 190, 169, 186, 199,
   151, 169, 181, 153, 173, 185, 153, 172, 184, 135, 157, 171, 134, 157, 170, 125, 149, 162, 109, 135, 149, 121, 148, 160, 117, 143, 157, 115, 141, 155, 108, 135, 149, 105, 131, 145, 114, 140, 153, 123, 148, 160, 155, 173, 186, 177, 194, 206, 189, 205, 217, 195, 212, 223, 197, 213, 224, 184, 201, 212, 196, 213, 223,
   199, 215, 227, 186, 202, 214, 197, 215, 225, 206, 222, 233, 192, 208, 220, 186, 201, 216, 191, 207, 221, 195, 211, 222, 215, 231, 240, 217, 231, 240, 215, 231, 242, 200, 216, 227, 197, 212, 225, 219, 233, 242, 223, 236, 245, 215, 231, 240, 205, 221, 231, 218, 232, 243, 214, 231, 241, 213, 229, 238, 229, 242, 251,
   223, 237, 248, 235, 248, 252, 232, 245, 252, 233, 247, 253, 239, 252, 254, 236, 249, 253, 236, 250, 254, 234, 248, 252, 211, 228, 237, 207, 223, 236, 213, 227, 238, 227, 243, 249, 212, 229, 239, 217, 232, 244, 228, 244, 252, 232, 246, 254, 234, 249, 254, 240, 252, 253, 237, 252, 254, 233, 248, 252, 240, 253, 254,
   237, 251, 253, 233, 248, 254, 235, 249, 254, 230, 245, 254, 229, 244, 253, 221, 237, 246, 220, 236, 245, 229, 245, 252, 228, 244, 251, 233, 247, 253, 241, 254, 255, 244, 254, 254, 244, 253, 253, 253, 255, 255, 253, 254, 254, 255, 255, 255, 253, 254, 254, 242, 255, 254, 243, 254, 254, 239, 253, 254, 238, 251, 253,
   237, 254, 253, 236, 250, 252, 235, 248, 251, 228, 243, 248, 240, 252, 254, 249, 254, 254, 253, 255, 255, 254, 255, 255, 249, 255, 254, 247, 254, 254, 251, 255, 254, 240, 254, 254, 239, 251, 253, 242, 254, 254, 237, 253, 252, 242, 254, 252, 242, 253, 255, 238, 252, 253, 235, 249, 252, 234, 250, 254, 235, 251, 254,
   223, 239, 250, 223, 239, 248, 220, 237, 248, 220, 237, 250, 215, 231, 243, 210, 226, 238, 203, 217, 229, 200, 214, 228, 211, 226, 241, 197, 212, 220, 198, 205, 213, 193, 193, 198, 192, 190, 198, 194, 201, 210, 193, 201, 212, 191, 183, 185, 195, 163, 156, 197, 156, 141, 202, 149, 126, 201, 142, 109, 204, 143, 109,
   203, 144, 121, 200, 145, 131, 189, 158, 161, 168, 178, 195, 176, 171, 179, 195, 143, 123, 202, 150, 130, 205, 149, 129, 208, 139, 105, 207, 131,  88, 208, 130,  85, 214, 133,  82, 210, 124,  58, 210, 118,  50, 210, 116,  46, 211, 116,  46, 210, 115,  41, 209, 115,  43, 211, 117,  42, 212, 118,  46, 211, 116,  43,
   207, 113,  43, 204, 109,  38, 198, 106,  35, 192, 105,  40, 191, 101,  41, 192, 101,  40, 189, 101,  34, 188, 100,  35, 186,  97,  33, 184,  95,  32, 179,  92,  30, 179,  91,  32, 174,  86,  31, 171,  85,  33, 169,  83,  34, 168,  83,  36, 168,  83,  35, 167,  83,  36, 166,  85,  42, 164,  84,  36, 160,  78,  26,
   159,  77,  21, 155,  74,  17, 153,  73,  15, 151,  72,  15, 150,  69,  13, 148,  68,  14, 147,  71,  18, 144,  68,  17, 145,  69,  20, 145,  70,  18, 144,  68,  19, 145,  69,  20, 146,  69,  19, 146,  70,  20, 150,  72,  20, 153,  74,  21, 158,  75,  23, 157,  76,  20, 156,  74,  20, 156,  75,  21, 155,  74,  19,
    19,  41,  46,  20,  42,  47,  23,  43,  49,  24,  43,  49,  27,  46,  52,  28,  48,  53,  27,  47,  52,  29,  49,  54,  31,  51,  56,  32,  51,  56,  36,  55,  60,  34,  53,  58,  37,  55,  61,  38,  56,  61,  37,  55,  62,  33,  51,  58,  56,  70,  79,  66,  83,  95, 105, 125, 140, 124, 142, 159, 116, 133, 151,
   105, 123, 139,  74,  90, 108,  55,  69,  87,  60,  73,  91,  41,  52,  70,  76,  89, 105,  80,  94, 110,  87,  99, 114,  79,  95, 109, 101, 117, 131, 101, 117, 129,  81,  96, 109,  74,  86, 100,  53,  60,  70,  73,  86,  98, 107, 124, 137, 114, 129, 142, 145, 162, 175, 161, 177, 189, 176, 191, 201, 169, 186, 197,
   174, 191, 200, 159, 176, 187, 160, 176, 188, 171, 187, 197, 160, 176, 187, 160, 176, 187, 181, 199, 208, 176, 193, 204, 191, 208, 217, 188, 205, 216, 190, 208, 220, 176, 194, 205, 160, 180, 192, 139, 161, 175, 138, 159, 173, 131, 155, 167, 128, 152, 164, 121, 145, 159, 117, 142, 156, 110, 136, 151, 104, 130, 145,
   108, 134, 147, 106, 131, 146, 103, 129, 143,  98, 124, 138, 105, 130, 144, 119, 142, 158, 143, 165, 177, 155, 173, 187, 172, 190, 201, 187, 203, 216, 207, 223, 235, 195, 211, 223, 189, 205, 218, 194, 210, 222, 199, 216, 225, 198, 214, 226, 204, 221, 230, 204, 221, 231, 220, 234, 244, 205, 221, 233, 191, 207, 221,
   192, 208, 221, 188, 204, 218, 212, 227, 238, 208, 224, 235, 198, 214, 226, 205, 222, 231, 191, 206, 218, 200, 217, 227, 213, 227, 238, 222, 236, 244, 224, 240, 247, 227, 241, 247, 210, 227, 237, 219, 234, 246, 232, 247, 253, 217, 233, 243, 229, 244, 252, 231, 244, 250, 233, 247, 253, 239, 252, 254, 234, 249, 254,
   232, 244, 252, 223, 238, 248, 204, 220, 232, 210, 226, 238, 225, 241, 249, 208, 226, 234, 211, 227, 237, 229, 245, 252, 230, 243, 252, 233, 248, 254, 238, 251, 254, 233, 247, 254, 235, 248, 253, 237, 252, 255, 228, 243, 249, 236, 249, 254, 235, 250, 254, 228, 244, 252, 228, 244, 252, 220, 235, 246, 217, 233, 244,
   229, 244, 252, 223, 238, 248, 233, 246, 254, 236, 250, 253, 238, 254, 253, 245, 254, 253, 251, 254, 254, 253, 255, 255, 254, 255, 255, 249, 254, 254, 246, 255, 254, 243, 254, 255, 242, 253, 255, 241, 254, 254, 238, 253, 253, 240, 253, 253, 231, 244, 252, 235, 249, 252, 233, 248, 252, 250, 254, 254, 251, 255, 254,
   249, 254, 254, 240, 253, 253, 250, 255, 254, 240, 253, 254, 236, 251, 253, 242, 254, 253, 240, 253, 252, 238, 252, 253, 238, 252, 253, 233, 247, 252, 237, 253, 254, 240, 252, 254, 234, 249, 252, 232, 248, 251, 232, 249, 253, 228, 245, 251, 226, 242, 252, 223, 239, 250, 215, 229, 243, 214, 230, 243, 214, 228, 241,
   215, 233, 244, 218, 234, 247, 202, 215, 227, 199, 209, 219, 192, 197, 203, 191, 190, 195, 194, 197, 207, 194, 202, 212, 194, 197, 206, 196, 170, 165, 198, 157, 143, 203, 158, 143, 201, 150, 126, 206, 142, 108, 207, 139, 103, 206, 139, 105, 199, 146, 130, 176, 168, 179, 169, 169, 178, 198, 139, 107, 207, 132,  89,
   206, 136,  98, 210, 140, 106, 208, 133,  91, 209, 130,  82, 210, 129,  77, 209, 126,  70, 208, 121,  59, 205, 117,  50, 206, 114,  47, 206, 113,  43, 203, 113,  47, 205, 114,  46, 205, 114,  46, 203, 112,  48, 201, 111,  48, 197, 106,  44, 192, 103,  41, 190, 102,  44, 188, 100,  44, 186,  98,  38, 189, 100,  39,
   186,  99,  34, 185,  97,  34, 181,  94,  32, 179,  91,  33, 174,  88,  33, 172,  86,  35, 170,  85,  36, 166,  81,  31, 165,  82,  33, 165,  81,  30, 164,  80,  28, 163,  80,  27, 162,  80,  28, 161,  82,  39, 155,  76,  23, 154,  76,  26, 153,  75,  22, 150,  73,  19, 151,  71,  15, 149,  69,  13, 145,  70,  16,
   145,  69,  17, 144,  69,  17, 143,  68,  16, 144,  68,  19, 144,  68,  19, 144,  68,  16, 146,  69,  15, 153,  73,  15, 156,  76,  24, 159,  76,  22, 158,  76,  23, 156,  75,  23, 156,  74,  19, 156,  74,  19,  19,  41,  47,  20,  41,  48,  21,  41,  48,  23,  42,  48,  25,  44,  50,  26,  46,  51,  26,  46,  52,
    28,  48,  54,  30,  50,  55,  33,  52,  57,  33,  52,  57,  36,  55,  60,  36,  55,  60,  38,  58,  63,  36,  53,  60,  31,  47,  54,  36,  48,  58,  72,  88, 100,  92, 112, 128, 111, 129, 145, 121, 138, 156, 107, 125, 143,  92, 108, 126, 110, 126, 142,  63,  77,  93,  85, 100, 116,  73,  87, 103,  83,  98, 113,
    82,  96, 111, 108, 124, 137, 128, 145, 158, 112, 128, 141, 104, 121, 133, 116, 132, 145,  96, 109, 123,  66,  76,  90,  90, 103, 117, 147, 163, 174, 163, 180, 190, 179, 196, 203, 181, 197, 205, 187, 203, 212, 192, 209, 218, 184, 201, 209, 173, 191, 199, 178, 194, 203, 186, 202, 212, 173, 190, 200, 184, 202, 211,
   166, 185, 196, 167, 186, 197, 166, 185, 196, 157, 178, 189, 157, 176, 188, 144, 165, 177, 126, 149, 162, 105, 131, 145, 115, 141, 153, 111, 136, 148, 106, 132, 147, 105, 133, 145, 101, 128, 141, 102, 128, 143,  99, 125, 138, 101, 127, 141, 101, 127, 141, 104, 130, 144, 117, 140, 154, 142, 164, 174, 160, 178, 191,
   160, 177, 189, 178, 196, 207, 188, 204, 215, 196, 212, 223, 204, 220, 230, 193, 210, 221, 191, 207, 218, 198, 214, 226, 204, 221, 231, 214, 228, 238, 216, 230, 240, 214, 228, 241, 200, 217, 229, 202, 218, 229, 194, 210, 222, 192, 209, 222, 197, 213, 226, 192, 209, 221, 204, 219, 232, 186, 203, 215, 212, 228, 237,
   214, 230, 242, 211, 227, 238, 211, 228, 236, 226, 242, 248, 216, 230, 240, 228, 241, 247, 210, 227, 238, 224, 239, 247, 224, 239, 248, 219, 234, 245, 231, 244, 252, 225, 240, 248, 235, 247, 252, 232, 246, 252, 230, 245, 251, 219, 233, 246, 217, 232, 243, 205, 221, 231, 214, 230, 241, 206, 223, 232, 219, 235, 244,
   228, 241, 250, 229, 245, 253, 227, 243, 251, 232, 247, 253, 228, 244, 252, 233, 248, 253, 232, 248, 254, 230, 244, 252, 236, 248, 254, 232, 248, 255, 228, 243, 252, 228, 243, 253, 223, 239, 250, 223, 240, 249, 222, 236, 248, 225, 240, 249, 233, 248, 253, 232, 247, 253, 242, 254, 253, 252, 254, 254, 254, 254, 254,
   253, 255, 255, 255, 255, 255, 242, 253, 253, 243, 254, 254, 239, 253, 254, 243, 255, 254, 241, 255, 254, 237, 251, 253, 239, 253, 253, 234, 249, 253, 237, 250, 252, 239, 252, 253, 245, 254, 254, 250, 254, 254, 242, 254, 254, 243, 254, 254, 240, 253, 253, 238, 251, 254, 240, 253, 255, 239, 253, 253, 238, 252, 253,
   233, 246, 253, 236, 250, 253, 235, 251, 253, 238, 252, 254, 233, 248, 253, 226, 241, 250, 229, 244, 250, 233, 249, 253, 230, 246, 253, 229, 243, 251, 229, 247, 253, 223, 238, 251, 218, 233, 247, 220, 236, 248, 220, 236, 248, 207, 223, 236, 205, 218, 231, 198, 211, 221, 199, 207, 217, 200, 207, 216, 195, 197, 204,
   190, 189, 196, 195, 197, 205, 200, 198, 201, 196, 167, 156, 201, 154, 137, 202, 150, 126, 206, 148, 118, 207, 146, 114, 208, 143, 110, 202, 145, 118, 181, 162, 167, 170, 168, 178, 199, 145, 120, 208, 126,  68, 209, 125,  68, 209, 128,  74, 210, 131,  84, 207, 124,  77, 206, 124,  75, 204, 123,  69, 203, 122,  69,
   200, 113,  53, 198, 110,  47, 198, 109,  45, 199, 110,  52, 198, 111,  49, 199, 110,  49, 197, 108,  51, 197, 108,  50, 193, 103,  46, 191, 102,  47, 186,  98,  42, 187, 100,  45, 186,  97,  44, 183,  96,  38, 184,  96,  38, 184,  96,  38, 181,  94,  37, 178,  91,  35, 174,  88,  33, 170,  85,  35, 168,  84,  34,
   168,  83,  34, 166,  82,  33, 165,  83,  32, 164,  79,  28, 163,  80,  27, 161,  79,  25, 159,  77,  24, 161,  78,  25, 155,  78,  27, 154,  75,  23, 148,  73,  20, 150,  71,  15, 149,  70,  13, 146,  70,  13, 147,  71,  17, 146,  71,  16, 146,  71,  17, 145,  70,  20, 146,  70,  19, 147,  70,  18, 151,  72,  19,
   154,  74,  19, 160,  78,  26, 160,  77,  24, 158,  77,  25, 156,  75,  24, 155,  74,  18, 156,  75,  19,  17,  39,  45,  18,  40,  46,  21,  41,  48,  22,  42,  48,  23,  41,  48,  24,  44,  49,  25,  45,  51,  27,  48,  52,  30,  49,  56,  33,  52,  57,  34,  53,  58,  37,  55,  61,  35,  53,  59,  43,  60,  67,
    48,  62,  70,  39,  49,  58,  42,  54,  64,  53,  70,  80,  93, 112, 127,  92, 112, 129, 106, 126, 142, 121, 139, 156,  83, 101, 117, 115, 131, 148, 110, 125, 142, 107, 122, 138,  95, 110, 125, 115, 130, 144, 111, 128, 140, 136, 151, 163, 127, 145, 155, 156, 172, 184, 124, 140, 154, 148, 165, 176, 138, 154, 167,
   110, 127, 138, 117, 134, 146, 145, 163, 172, 164, 182, 191, 183, 199, 208, 180, 196, 205, 181, 198, 208, 193, 209, 218, 202, 219, 226, 197, 214, 221, 186, 204, 211, 194, 211, 219, 176, 195, 204, 168, 188, 198, 158, 177, 189, 137, 160, 173, 138, 160, 172, 126, 149, 161, 125, 149, 161, 115, 141, 153, 110, 135, 150,
   105, 132, 144, 103, 130, 144, 104, 130, 144, 103, 129, 143, 103, 129, 141, 100, 126, 138,  99, 125, 139, 100, 126, 139, 104, 130, 143, 111, 137, 149, 118, 142, 157, 134, 155, 168, 169, 187, 198, 157, 175, 188, 179, 196, 208, 169, 186, 199, 182, 199, 212, 177, 194, 207, 184, 200, 213, 188, 205, 217, 196, 213, 224,
   190, 206, 218, 192, 208, 220, 191, 208, 220, 208, 223, 233, 216, 232, 243, 216, 232, 243, 219, 235, 242, 226, 240, 250, 219, 236, 243, 216, 233, 240, 210, 225, 237, 214, 229, 239, 221, 237, 246, 213, 228, 239, 201, 217, 230, 201, 218, 231, 208, 223, 234, 218, 234, 244, 223, 236, 246, 227, 242, 249, 221, 237, 244,
   210, 225, 238, 223, 237, 248, 220, 234, 244, 230, 243, 252, 229, 242, 252, 233, 247, 255, 234, 247, 254, 228, 242, 251, 217, 233, 242, 215, 229, 240, 210, 227, 235, 216, 231, 241, 204, 220, 229, 217, 233, 242, 224, 240, 249, 222, 236, 246, 225, 241, 248, 227, 242, 251, 227, 243, 250, 233, 248, 253, 233, 249, 254,
   228, 243, 251, 232, 245, 253, 228, 244, 251, 231, 247, 253, 227, 242, 251, 227, 243, 251, 222, 239, 247, 219, 234, 245, 227, 243, 253, 233, 248, 254, 236, 251, 254, 238, 253, 253, 250, 254, 254, 253, 255, 255, 252, 255, 255, 254, 254, 254, 244, 255, 254, 243, 253, 253, 237, 253, 254, 239, 254, 254, 238, 252, 254,
   237, 251, 254, 237, 251, 254, 235, 249, 253, 236, 250, 253, 242, 254, 253, 241, 253, 253, 248, 254, 254, 246, 254, 254, 246, 255, 254, 241, 253, 253, 237, 250, 253, 236, 250, 252, 236, 250, 254, 234, 249, 253, 237, 250, 254, 227, 244, 252, 232, 245, 253, 236, 250, 253, 233, 247, 254, 232, 248, 254, 237, 252, 254,
   236, 250, 253, 239, 252, 253, 237, 251, 253, 230, 246, 253, 221, 238, 250, 221, 237, 250, 226, 242, 253, 225, 242, 252, 217, 232, 246, 213, 230, 243, 208, 225, 238, 201, 218, 229, 199, 211, 220, 198, 204, 213, 199, 202, 208, 201, 203, 210, 196, 198, 207, 195, 182, 184, 200, 163, 153, 200, 159, 145, 203, 159, 149,
   203, 149, 127, 204, 142, 112, 199, 141, 114, 185, 158, 161, 172, 168, 179, 194, 146, 132, 208, 127,  70, 206, 123,  67, 204, 119,  63, 205, 122,  71, 203, 120,  68, 201, 117,  65, 197, 115,  61, 197, 118,  68, 199, 116,  66, 192, 108,  53, 192, 106,  50, 192, 107,  52, 196, 106,  51, 195, 107,  49, 193, 104,  49,
   193, 105,  53, 190, 102,  49, 187,  99,  45, 183,  98,  44, 184,  98,  46, 180,  96,  44, 181,  95,  41, 182,  95,  39, 181,  95,  41, 179,  93,  40, 176,  91,  40, 174,  88,  38, 172,  87,  39, 170,  85,  38, 167,  83,  33, 166,  82,  34, 164,  82,  30, 163,  80,  24, 164,  81,  26, 161,  78,  22, 159,  76,  23,
   161,  79,  24, 156,  74,  17, 155,  74,  16, 155,  78,  24, 154,  75,  22, 151,  73,  19, 152,  73,  15, 149,  71,  15, 146,  71,  15, 147,  70,  17, 146,  71,  19, 145,  69,  15, 152,  71,  20, 156,  75,  22, 160,  76,  25, 160,  78,  23, 160,  77,  22, 160,  77,  26, 159,  78,  26, 155,  75,  19, 156,  77,  21,
    15,  37,  43,  18,  39,  45,  19,  39,  45,  20,  40,  47,  22,  41,  48,  23,  42,  49,  24,  43,  50,  29,  49,  54,  32,  51,  57,  35,  53,  59,  37,  55,  61,  35,  52,  59,  30,  44,  52,  33,  45,  54,  41,  53,  63,  58,  71,  80,  61,  76,  87,  68,  87, 100,  70,  92, 105,  99, 122, 138,  97, 119, 136,
   123, 141, 158, 114, 132, 149, 105, 123, 138, 128, 144, 158, 127, 143, 157, 132, 148, 161, 132, 148, 161, 127, 142, 156, 135, 151, 164, 155, 171, 183, 161, 177, 188, 146, 163, 174, 148, 164, 177, 124, 140, 154, 153, 168, 179, 153, 171, 181, 141, 157, 170, 178, 194, 202, 189, 205, 212, 188, 205, 215, 179, 196, 206,
   184, 203, 212, 183, 201, 209, 183, 200, 209, 189, 206, 216, 172, 193, 202, 154, 174, 186, 138, 162, 173, 132, 156, 168, 112, 137, 152, 107, 132, 146, 110, 137, 150, 105, 131, 144, 103, 130, 144, 101, 128, 142, 104, 131, 143, 105, 131, 146, 102, 129, 142, 102, 128, 142, 102, 128, 141, 101, 127, 140, 102, 128, 141,
   108, 134, 146, 113, 139, 152, 123, 148, 162, 129, 152, 167, 142, 162, 177, 158, 175, 190, 183, 200, 212, 184, 200, 212, 188, 204, 217, 181, 197, 209, 174, 192, 204, 182, 199, 211, 181, 197, 211, 178, 195, 209, 170, 186, 202, 178, 194, 208, 184, 200, 215, 198, 215, 227, 193, 209, 221, 187, 204, 217, 194, 211, 222,
   206, 222, 235, 202, 218, 230, 210, 226, 238, 210, 225, 237, 218, 234, 243, 213, 229, 238, 215, 231, 241, 208, 224, 237, 183, 200, 214, 208, 224, 236, 211, 225, 235, 212, 227, 241, 210, 227, 235, 239, 252, 254, 211, 227, 238, 212, 228, 239, 225, 240, 251, 223, 238, 248, 223, 239, 248, 232, 245, 252, 233, 248, 252,
   224, 238, 247, 217, 232, 243, 207, 223, 234, 204, 221, 231, 214, 231, 240, 203, 221, 230, 215, 232, 241, 216, 232, 242, 224, 239, 248, 217, 234, 244, 227, 243, 250, 227, 242, 251, 235, 247, 254, 229, 245, 252, 222, 237, 246, 224, 241, 249, 221, 238, 247, 227, 242, 250, 226, 243, 251, 230, 245, 253, 231, 248, 253,
   226, 240, 251, 229, 245, 253, 232, 247, 254, 231, 244, 252, 237, 251, 253, 246, 254, 254, 247, 255, 254, 243, 254, 254, 252, 255, 255, 242, 254, 254, 245, 253, 254, 234, 251, 254, 231, 245, 251, 234, 251, 253, 237, 249, 253, 237, 250, 253, 236, 251, 254, 239, 252, 253, 243, 254, 254, 244, 253, 253, 248, 254, 254,
   244, 253, 254, 242, 253, 254, 240, 252, 253, 237, 250, 253, 236, 251, 254, 235, 250, 254, 236, 250, 254, 234, 247, 254, 230, 246, 253, 235, 250, 253, 236, 251, 253, 237, 251, 254, 237, 250, 252, 245, 254, 254, 238, 252, 254, 239, 252, 254, 235, 253, 254, 233, 248, 254, 230, 247, 252, 232, 249, 253, 229, 246, 254,
   226, 242, 253, 224, 240, 254, 220, 235, 250, 213, 229, 245, 206, 223, 237, 201, 218, 229, 200, 208, 217, 197, 199, 207, 197, 193, 201, 194, 193, 202, 195, 193, 202, 195, 181, 183, 195, 159, 147, 197, 147, 127, 199, 145, 123, 200, 143, 116, 195, 135, 112, 183, 154, 160, 173, 167, 175, 192, 148, 139, 199, 126,  79,
   199, 120,  70, 198, 118,  69, 195, 114,  64, 198, 115,  65, 195, 112,  60, 194, 111,  58, 193, 109,  58, 193, 110,  59, 191, 108,  55, 188, 102,  49, 190, 106,  51, 191, 106,  50, 190, 104,  48, 191, 105,  52, 190, 104,  51, 189, 103,  52, 188, 101,  49, 187,  99,  48, 182,  97,  47, 181,  96,  46, 182,  98,  45,
   183,  96,  42, 180,  95,  44, 179,  94,  44, 175,  90,  42, 176,  91,  43, 170,  86,  39, 170,  84,  38, 167,  83,  33, 165,  81,  28, 164,  81,  28, 166,  82,  31, 166,  82,  30, 163,  79,  22, 160,  77,  22, 158,  76,  17, 159,  76,  20, 157,  77,  15, 158,  75,  19, 155,  75,  15, 155,  73,  15, 155,  73,  14,
   153,  73,  14, 150,  72,  14, 150,  73,  16, 150,  72,  18, 152,  74,  20, 157,  74,  23, 162,  78,  27, 162,  79,  24, 161,  77,  26, 161,  78,  24, 162,  79,  27, 161,  78,  26, 159,  78,  23, 159,  77,  23,  15,  37,  43,  17,  39,  44,  17,  39,  45,  22,  41,  48,  21,  40,  47,  26,  46,  51,  29,  48,  53,
    34,  52,  58,  36,  54,  61,  35,  53,  60,  37,  55,  60,  38,  52,  60,  30,  43,  53,  30,  42,  50,  48,  61,  70,  56,  73,  83,  70,  91, 103,  79, 106, 116,  89, 115, 129,  85, 110, 126,  97, 122, 137, 121, 141, 158, 111, 130, 148, 121, 136, 151, 142, 159, 172, 146, 162, 175, 157, 173, 183, 155, 170, 181,
   142, 158, 170, 152, 168, 180, 159, 174, 185, 166, 183, 193, 163, 179, 190, 142, 159, 171, 152, 168, 180, 134, 152, 163, 159, 174, 185, 140, 156, 168, 163, 180, 190, 179, 196, 204, 186, 204, 212, 177, 195, 207, 171, 189, 200, 170, 189, 198, 159, 179, 189, 155, 175, 186, 156, 176, 188, 143, 164, 175, 121, 146, 158,
   112, 138, 153, 107, 132, 145,  96, 124, 136, 101, 127, 141, 100, 126, 140, 102, 128, 142, 103, 129, 142, 102, 129, 142, 101, 128, 141, 102, 127, 140, 103, 129, 141, 102, 128, 141, 105, 131, 143, 111, 137, 150, 117, 143, 158, 123, 149, 161, 136, 158, 170, 130, 151, 168, 153, 171, 185, 150, 167, 184, 160, 176, 191,
   185, 201, 214, 194, 210, 222, 183, 199, 213, 186, 203, 214, 180, 197, 208, 177, 194, 207, 180, 196, 207, 187, 204, 217, 176, 192, 209, 164, 181, 199, 163, 179, 196, 164, 181, 197, 174, 191, 206, 191, 209, 225, 193, 209, 223, 193, 209, 222, 196, 213, 229, 209, 225, 236, 221, 237, 245, 203, 219, 232, 195, 212, 223,
   186, 203, 220, 185, 202, 219, 172, 188, 206, 196, 212, 224, 222, 237, 245, 206, 223, 232, 208, 224, 235, 232, 247, 251, 219, 235, 244, 213, 229, 241, 224, 237, 247, 223, 237, 246, 220, 234, 244, 233, 247, 253, 224, 239, 248, 213, 229, 241, 194, 212, 222, 197, 213, 225, 200, 218, 225, 206, 222, 232, 209, 225, 236,
   207, 223, 232, 226, 241, 250, 218, 233, 244, 224, 241, 249, 227, 242, 252, 231, 244, 253, 226, 242, 250, 230, 245, 253, 219, 235, 246, 218, 234, 243, 225, 241, 249, 228, 243, 252, 227, 243, 252, 229, 245, 252, 230, 245, 253, 227, 244, 252, 228, 243, 251, 229, 243, 249, 238, 252, 254, 239, 254, 253, 237, 253, 252,
   240, 252, 254, 251, 255, 254, 238, 252, 254, 238, 252, 254, 230, 245, 253, 229, 245, 251, 232, 247, 252, 232, 246, 252, 235, 248, 252, 232, 246, 252, 238, 252, 252, 241, 253, 254, 247, 255, 254, 241, 253, 254, 239, 253, 254, 242, 254, 255, 235, 248, 253, 238, 253, 253, 232, 248, 252, 240, 253, 254, 236, 251, 254,
   231, 245, 252, 235, 251, 254, 240, 252, 254, 239, 251, 252, 237, 250, 253, 240, 252, 254, 236, 253, 254, 238, 252, 253, 236, 252, 252, 234, 252, 254, 232, 248, 253, 232, 250, 253, 229, 247, 253, 229, 245, 253, 230, 246, 253, 224, 240, 252, 214, 230, 243, 210, 227, 239, 206, 223, 235, 201, 214, 223, 196, 201, 211,
   193, 193, 200, 191, 188, 197, 192, 185, 194, 192, 191, 200, 198, 195, 200, 190, 162, 157, 192, 145, 129, 192, 142, 122, 191, 140, 122, 190, 143, 130, 179, 159, 166, 175, 167, 176, 184, 147, 144, 190, 127,  96, 193, 116,  72, 189, 113,  66, 191, 113,  66, 190, 111,  63, 192, 110,  60, 194, 110,  60, 193, 110,  58,
   190, 106,  57, 189, 105,  53, 188, 102,  49, 187, 102,  49, 189, 105,  52, 189, 105,  51, 188, 103,  52, 188, 104,  53, 187, 103,  54, 187, 101,  50, 185,  99,  49, 183,  97,  46, 180,  96,  44, 180,  95,  44, 181,  97,  45, 181,  97,  47, 177,  93,  46, 175,  90,  43, 175,  89,  43, 175,  90,  43, 171,  86,  37,
   168,  85,  34, 166,  81,  30, 165,  83,  28, 169,  83,  29, 167,  81,  27, 165,  78,  22, 163,  79,  22, 162,  79,  21, 162,  78,  20, 160,  75,  12, 160,  76,  18, 160,  75,  17, 159,  76,  18, 160,  77,  19, 156,  74,  16, 157,  77,  17, 154,  75,  18, 155,  73,  18, 157,  75,  22, 161,  78,  24, 162,  79,  24,
   165,  80,  24, 164,  79,  24, 163,  79,  26, 160,  77,  25, 161,  81,  28, 161,  79,  22, 160,  80,  26,  17,  38,  43,  17,  39,  44,  20,  42,  47,  23,  42,  49,  25,  44,  50,  28,  48,  53,  33,  53,  58,  39,  58,  64,  41,  59,  66,  41,  59,  66,  48,  62,  71,  49,  61,  70,  38,  49,  59,  45,  58,  67,
    72,  92, 102,  82, 106, 118,  80, 106, 119,  85, 113, 125,  99, 126, 140,  93, 119, 135, 100, 125, 141, 112, 134, 150, 121, 141, 158, 122, 138, 153, 132, 150, 162, 133, 149, 162, 156, 171, 181, 172, 187, 196, 160, 176, 186, 155, 171, 183, 156, 173, 184, 165, 182, 191, 166, 183, 192, 161, 178, 188, 156, 173, 183,
   157, 174, 183, 155, 171, 183, 149, 169, 177, 152, 168, 180, 164, 182, 192, 168, 187, 196, 156, 175, 187, 150, 172, 183, 140, 161, 174, 137, 159, 171, 129, 153, 165, 127, 151, 164, 122, 146, 158, 109, 135, 148, 103, 130, 142, 102, 129, 142, 100, 128, 139, 101, 126, 138, 100, 126, 138, 102, 128, 141, 101, 128, 140,
   101, 127, 141, 101, 127, 139, 101, 127, 139, 102, 128, 141, 105, 131, 145, 112, 138, 150, 119, 145, 157, 132, 156, 170, 134, 159, 170, 146, 168, 180, 152, 171, 186, 159, 175, 190, 154, 171, 187, 158, 175, 192, 164, 182, 198, 165, 181, 197, 173, 188, 205, 161, 177, 194, 180, 196, 212, 185, 202, 215, 192, 209, 221,
   188, 204, 216, 189, 205, 217, 188, 204, 219, 173, 190, 207, 164, 182, 199, 177, 193, 209, 156, 177, 193, 167, 183, 201, 167, 186, 202, 162, 181, 199, 161, 179, 199, 165, 183, 202, 192, 210, 227, 196, 212, 228, 201, 218, 233, 168, 187, 208, 173, 190, 209, 141, 160, 183, 188, 205, 221, 206, 223, 236, 226, 241, 248,
   206, 223, 233, 234, 246, 252, 197, 213, 227, 218, 233, 246, 224, 238, 247, 206, 222, 234, 221, 237, 245, 219, 236, 245, 205, 222, 233, 193, 210, 221, 198, 214, 225, 198, 216, 224, 206, 223, 233, 205, 221, 231, 202, 219, 228, 214, 229, 242, 214, 230, 240, 223, 239, 250, 224, 240, 248, 224, 240, 247, 226, 241, 251,
   226, 242, 250, 222, 237, 248, 218, 233, 241, 219, 234, 242, 228, 244, 251, 226, 242, 251, 233, 248, 253, 225, 241, 250, 221, 238, 248, 226, 241, 250, 229, 244, 249, 239, 253, 253, 240, 254, 253, 237, 252, 254, 243, 253, 253, 248, 255, 254, 237, 252, 252, 236, 251, 254, 229, 246, 253, 227, 243, 250, 230, 247, 253,
   230, 246, 252, 236, 250, 255, 227, 245, 252, 241, 252, 253, 239, 252, 254, 238, 250, 252, 237, 252, 253, 240, 254, 253, 236, 250, 253, 240, 253, 253, 238, 251, 253, 238, 252, 254, 236, 251, 254, 236, 249, 254, 238, 250, 254, 236, 251, 253, 238, 251, 253, 236, 249, 254, 235, 249, 251, 245, 254, 254, 240, 253, 253,
   237, 252, 254, 239, 254, 253, 235, 250, 252, 235, 251, 254, 226, 244, 252, 231, 247, 253, 226, 243, 252, 229, 245, 251, 223, 241, 247, 219, 235, 247, 217, 234, 246, 204, 218, 228, 201, 208, 217, 200, 203, 212, 189, 185, 192, 180, 172, 178, 185, 174, 181, 187, 178, 184, 194, 190, 199, 190, 173, 172, 189, 146, 133,
   189, 139, 120, 192, 145, 131, 182, 146, 140, 172, 155, 161, 169, 153, 160, 178, 143, 141, 179, 127, 110, 184, 117,  82, 187, 115,  77, 189, 115,  77, 188, 113,  73, 190, 112,  67, 189, 106,  60, 190, 107,  59, 189, 107,  58, 188, 104,  55, 188, 103,  55, 188, 103,  54, 190, 106,  56, 189, 104,  55, 189, 103,  53,
   190, 105,  55, 186, 101,  50, 186, 101,  50, 188, 101,  50, 184,  99,  48, 182,  98,  47, 179,  95,  43, 180,  95,  44, 178,  93,  43, 178,  93,  46, 175,  91,  43, 175,  89,  41, 174,  88,  39, 171,  86,  35, 170,  85,  33, 169,  83,  30, 172,  85,  29, 173,  85,  29, 168,  81,  24, 167,  81,  25, 165,  79,  20,
   164,  80,  20, 166,  80,  23, 164,  78,  20, 164,  76,  20, 165,  79,  22, 164,  80,  21, 164,  79,  20, 161,  76,  19, 158,  76,  14, 159,  76,  16, 162,  77,  21, 164,  79,  27, 163,  79,  23, 166,  80,  24, 168,  80,  24, 165,  81,  25, 161,  78,  23, 163,  81,  27, 163,  83,  30, 162,  80,  24, 165,  83,  30,
    20,  40,  47,  20,  40,  47,  23,  42,  49,  24,  43,  50,  29,  48,  54,  36,  55,  61,  45,  63,  70,  59,  77,  85,  67,  84,  93,  69,  86,  94,  71,  86,  96,  51,  64,  74,  54,  68,  78,  74,  95, 105,  92, 119, 132, 107, 133, 147,  98, 126, 140,  91, 120, 134,  99, 127, 142, 106, 132, 148, 108, 133, 149,
   118, 140, 155, 123, 141, 157, 129, 146, 160, 123, 140, 153, 145, 161, 174, 143, 160, 170, 155, 171, 183, 164, 181, 190, 162, 179, 188, 163, 180, 190, 160, 177, 186, 157, 173, 184, 157, 175, 184, 161, 178, 189, 162, 178, 190, 157, 175, 184, 152, 170, 182, 154, 173, 184, 147, 165, 176, 139, 158, 172, 137, 158, 170,
   123, 146, 158, 111, 136, 148, 107, 133, 145, 108, 134, 146, 105, 130, 142, 102, 128, 141, 102, 128, 140, 100, 127, 139, 102, 129, 141, 101, 129, 141, 101, 128, 140, 100, 127, 139,  99, 125, 138, 100, 127, 139, 100, 126, 140, 100, 127, 140, 102, 128, 141, 106, 132, 144, 111, 138, 149, 123, 148, 161, 140, 163, 175,
   150, 171, 183, 164, 183, 195, 158, 177, 192, 163, 180, 195, 154, 170, 187, 171, 186, 202, 163, 180, 195, 160, 177, 193, 168, 184, 200, 167, 182, 199, 181, 198, 211, 172, 188, 204, 156, 172, 188, 155, 172, 189, 163, 181, 196, 184, 200, 215, 193, 210, 222, 197, 213, 226, 191, 208, 221, 214, 230, 244, 213, 229, 242,
   210, 225, 240, 191, 209, 228, 188, 207, 227, 186, 206, 227, 185, 207, 227, 168, 188, 212, 164, 186, 210, 168, 187, 213, 171, 191, 216, 153, 174, 198, 169, 187, 210, 142, 163, 187, 177, 195, 215, 195, 212, 227, 213, 228, 235, 217, 231, 243, 207, 223, 235, 199, 215, 229, 213, 229, 241, 201, 218, 229, 201, 218, 230,
   212, 228, 241, 196, 213, 224, 194, 211, 222, 197, 213, 225, 197, 215, 223, 193, 209, 221, 202, 218, 229, 199, 216, 226, 206, 223, 234, 211, 228, 238, 216, 234, 244, 220, 235, 244, 220, 235, 245, 224, 240, 250, 220, 235, 246, 222, 238, 247, 223, 239, 248, 224, 239, 247, 225, 243, 250, 221, 236, 246, 222, 240, 248,
   221, 238, 249, 223, 238, 249, 227, 242, 251, 230, 246, 252, 236, 250, 253, 238, 252, 253, 237, 252, 253, 240, 252, 254, 237, 252, 253, 235, 252, 253, 235, 251, 253, 231, 246, 253, 223, 240, 249, 229, 245, 252, 227, 241, 250, 228, 241, 250, 225, 240, 248, 238, 252, 254, 236, 250, 253, 233, 247, 253, 237, 252, 253,
   237, 250, 255, 235, 249, 253, 238, 252, 253, 236, 249, 253, 234, 247, 253, 238, 252, 253, 240, 253, 254, 234, 249, 254, 236, 251, 254, 232, 246, 252, 230, 244, 252, 238, 252, 253, 236, 251, 253, 242, 252, 253, 234, 249, 251, 235, 248, 252, 233, 248, 252, 235, 249, 252, 233, 248, 251, 244, 253, 253, 239, 254, 254,
   240, 253, 254, 232, 250, 255, 229, 244, 254, 217, 231, 242, 200, 209, 216, 196, 197, 203, 194, 196, 204, 181, 172, 175, 182, 167, 171, 186, 176, 183, 183, 169, 172, 187, 176, 183, 198, 198, 207, 187, 169, 170, 190, 151, 141, 187, 140, 124, 181, 141, 132, 171, 149, 153, 171, 144, 145, 177, 137, 130, 179, 122, 101,
   184, 111,  77, 184, 109,  71, 184, 108,  70, 186, 109,  69, 188, 111,  71, 188, 113,  72, 190, 113,  74, 188, 111,  71, 187, 109,  65, 189, 110,  65, 189, 108,  64, 188, 104,  59, 187, 105,  59, 188, 103,  55, 189, 105,  55, 189, 104,  54, 187, 103,  50, 183,  99,  46, 185,  99,  49, 183,  98,  46, 183,  96,  42,
   181,  98,  44, 179,  94,  44, 180,  95,  48, 179,  94,  47, 178,  92,  41, 177,  90,  38, 175,  88,  35, 173,  86,  32, 174,  86,  32, 176,  87,  29, 174,  87,  24, 172,  85,  22, 172,  84,  24, 168,  82,  21, 166,  80,  20, 168,  81,  21, 168,  81,  19, 171,  83,  23, 168,  81,  21, 168,  81,  19, 167,  80,  22,
   166,  81,  19, 166,  82,  18, 166,  80,  20, 171,  84,  22, 169,  83,  25, 170,  82,  23, 169,  83,  21, 171,  83,  22, 166,  81,  21, 167,  83,  27, 167,  83,  28, 168,  84,  29, 167,  84,  27, 163,  81,  25,  20,  40,  46,  24,  44,  49,  29,  48,  54,  35,  54,  59,  48,  67,  73,  59,  77,  84,  66,  83,  93,
    81,  98, 108,  85, 102, 113,  96, 113, 125, 110, 127, 139, 116, 133, 145,  89, 110, 123, 100, 125, 137, 109, 136, 150, 117, 145, 159, 117, 146, 160, 104, 135, 150, 103, 132, 148, 113, 139, 155, 118, 144, 159, 123, 146, 160, 138, 155, 168, 130, 148, 159, 133, 151, 162, 134, 150, 162, 156, 173, 183, 150, 167, 176,
   158, 175, 184, 161, 178, 187, 161, 178, 188, 155, 171, 184, 159, 175, 187, 150, 168, 179, 152, 170, 180, 156, 174, 183, 155, 174, 183, 139, 158, 171, 140, 161, 172, 136, 157, 168, 122, 146, 158, 115, 139, 151, 104, 130, 142, 101, 127, 140,  97, 123, 135,  96, 123, 134,  97, 125, 136,  99, 125, 138, 100, 127, 139,
    99, 127, 138, 101, 127, 140, 101, 127, 140, 101, 128, 141, 100, 128, 139, 100, 127, 139, 100, 127, 139,  99, 126, 138, 102, 128, 141, 105, 131, 143, 114, 140, 151, 135, 159, 171, 142, 164, 175, 162, 181, 194, 175, 194, 204, 174, 192, 205, 186, 202, 216, 187, 205, 218, 183, 199, 212, 183, 200, 214, 181, 197, 211,
   170, 186, 201, 156, 172, 189, 149, 166, 183, 167, 183, 199, 164, 180, 195, 172, 187, 203, 175, 191, 207, 175, 192, 208, 170, 188, 205, 146, 162, 184, 142, 159, 184, 154, 175, 195, 141, 161, 186, 150, 170, 194, 122, 143, 173, 127, 148, 179, 120, 140, 174,  97, 120, 157,  99, 122, 161, 100, 122, 158,  74,  95, 134,
   101, 122, 158,  88, 109, 145, 110, 130, 167, 131, 152, 182, 154, 174, 202, 146, 165, 193, 160, 178, 202, 176, 193, 213, 210, 226, 240, 199, 215, 232, 190, 205, 221, 209, 225, 237, 211, 227, 240, 184, 201, 214, 212, 228, 240, 190, 207, 219, 181, 197, 210, 201, 218, 228, 190, 207, 218, 190, 207, 218, 192, 209, 220,
   191, 208, 219, 199, 216, 227, 207, 224, 233, 210, 226, 237, 221, 236, 245, 222, 237, 247, 216, 232, 244, 219, 235, 245, 220, 236, 246, 221, 238, 247, 225, 240, 249, 222, 239, 249, 214, 231, 241, 218, 235, 244, 219, 237, 245, 221, 236, 245, 229, 245, 253, 229, 244, 251, 233, 249, 253, 235, 249, 253, 232, 247, 252,
   235, 248, 252, 240, 254, 253, 234, 249, 254, 235, 251, 254, 232, 248, 255, 227, 244, 250, 227, 243, 250, 230, 244, 251, 226, 242, 249, 232, 245, 253, 233, 248, 253, 234, 248, 254, 233, 247, 254, 239, 252, 254, 236, 249, 253, 239, 251, 254, 236, 249, 252, 237, 250, 254, 235, 249, 252, 242, 254, 254, 235, 248, 253,
   235, 249, 254, 233, 248, 253, 232, 246, 253, 236, 249, 253, 234, 249, 253, 241, 254, 254, 247, 254, 253, 240, 252, 253, 242, 254, 253, 236, 251, 253, 244, 253, 253, 245, 255, 254, 245, 254, 254, 240, 254, 254, 230, 246, 253, 226, 243, 252, 219, 234, 243, 211, 222, 229, 195, 197, 201, 201, 206, 212, 202, 209, 218,
   194, 193, 197, 195, 193, 198, 190, 182, 190, 182, 164, 165, 176, 146, 142, 185, 175, 183, 185, 168, 168, 183, 142, 129, 181, 138, 125, 182, 152, 152, 176, 157, 163, 176, 147, 147, 176, 133, 127, 179, 122, 100, 185, 117,  85, 184, 110,  71, 185, 109,  69, 185, 106,  65, 186, 109,  64, 187, 110,  64, 185, 107,  61,
   186, 108,  63, 187, 107,  60, 185, 106,  59, 185, 103,  58, 186, 107,  62, 187, 107,  63, 187, 106,  64, 187, 107,  61, 189, 108,  63, 186, 105,  57, 189, 106,  60, 188, 105,  57, 183, 100,  49, 185, 102,  50, 183,  99,  49, 183,  98,  48, 183,  97,  50, 180,  95,  45, 180,  95,  40, 179,  94,  36, 176,  89,  30,
   179,  90,  32, 179,  90,  33, 179,  91,  25, 177,  89,  21, 173,  84,  19, 173,  85,  23, 171,  84,  21, 170,  81,  22, 169,  81,  21, 172,  84,  21, 171,  83,  19, 174,  83,  19, 174,  83,  17, 173,  84,  16, 173,  85,  15, 172,  84,  13, 175,  85,  13, 173,  85,  13, 172,  84,  16, 174,  85,  20, 174,  86,  19,
   172,  86,  20, 173,  85,  22, 171,  84,  21, 172,  85,  22, 172,  84,  24, 167,  83,  23, 167,  85,  25,  31,  50,  56,  41,  59,  66,  55,  74,  79,  59,  77,  85,  68,  86,  94,  67,  84,  93,  60,  76,  86,  67,  83,  94,  59,  74,  84,  62,  77,  88,  73,  89, 102,  92, 110, 123, 113, 138, 149, 117, 143, 156,
   129, 157, 171, 128, 156, 170, 122, 154, 167, 111, 142, 157, 110, 140, 155, 118, 145, 162, 125, 150, 166, 123, 146, 161, 132, 149, 163, 143, 160, 172, 134, 152, 163, 136, 153, 163, 147, 164, 174, 156, 173, 182, 162, 178, 188, 166, 182, 191, 152, 169, 179, 161, 177, 189, 155, 172, 183, 138, 156, 168, 144, 162, 173,
   136, 156, 168, 134, 154, 166, 128, 150, 162, 115, 138, 151, 112, 138, 149, 105, 131, 142,  98, 125, 136,  96, 123, 135,  97, 123, 135,  97, 123, 135,  97, 126, 137,  97, 124, 135,  97, 124, 136,  97, 125, 137,  99, 126, 137,  97, 124, 137, 100, 127, 138,  99, 126, 137,  99, 127, 138, 101, 127, 140, 100, 128, 139,
   104, 131, 142, 111, 138, 149, 122, 147, 160, 135, 158, 171, 159, 179, 191, 174, 194, 204, 174, 192, 204, 188, 205, 215, 184, 201, 213, 191, 207, 220, 162, 179, 194, 173, 189, 204, 169, 185, 200, 151, 168, 186, 160, 177, 195, 153, 168, 187, 154, 172, 189, 162, 179, 196, 166, 185, 199, 180, 196, 213, 178, 194, 211,
   169, 187, 204, 160, 176, 197, 145, 162, 186, 120, 137, 164, 102, 123, 152, 111, 130, 163, 105, 125, 161,  89, 110, 148,  82, 103, 142,  60,  78, 118,  53,  71, 112,  36,  53,  94,  28,  43,  83,  27,  40,  81,  24,  38,  79,  42,  58,  99,  29,  45,  86,  31,  45,  85,  48,  65, 103,  78,  95, 132, 111, 130, 162,
   153, 172, 198, 186, 203, 220, 181, 197, 216, 189, 206, 221, 201, 217, 230, 194, 210, 223, 188, 204, 220, 219, 233, 247, 186, 203, 215, 165, 182, 195, 185, 202, 212, 193, 210, 221, 178, 195, 208, 183, 202, 212, 183, 200, 210, 193, 211, 221, 197, 215, 224, 204, 220, 231, 214, 231, 241, 211, 227, 239, 213, 229, 241,
   211, 228, 240, 216, 231, 243, 216, 233, 243, 226, 241, 251, 217, 233, 246, 207, 223, 236, 217, 233, 243, 219, 235, 244, 225, 240, 248, 230, 246, 253, 236, 250, 254, 236, 252, 252, 231, 246, 252, 229, 244, 250, 238, 252, 253, 236, 250, 253, 233, 249, 253, 234, 250, 254, 227, 242, 249, 227, 244, 251, 225, 242, 250,
   225, 239, 248, 222, 237, 247, 229, 243, 249, 232, 244, 252, 228, 241, 250, 236, 250, 255, 239, 252, 254, 236, 251, 253, 237, 251, 254, 233, 246, 253, 231, 244, 252, 240, 253, 254, 237, 251, 253, 236, 248, 254, 235, 247, 253, 233, 247, 253, 236, 251, 254, 235, 248, 252, 238, 250, 253, 243, 254, 253, 243, 254, 254,
   244, 254, 253, 245, 253, 253, 242, 253, 252, 239, 251, 254, 235, 250, 254, 236, 252, 253, 234, 249, 254, 229, 244, 252, 226, 241, 252, 216, 232, 243, 209, 220, 229, 208, 216, 224, 217, 228, 240, 204, 211, 221, 199, 207, 215, 193, 195, 200, 177, 163, 166, 177, 153, 149, 180, 144, 136, 180, 158, 161, 188, 176, 179,
   186, 156, 146, 181, 137, 123, 178, 146, 147, 173, 151, 153, 175, 142, 140, 183, 138, 130, 179, 125, 105, 183, 117,  90, 182, 110,  74, 185, 111,  70, 185, 110,  68, 186, 111,  66, 186, 108,  63, 188, 110,  64, 185, 107,  60, 187, 106,  59, 187, 107,  62, 186, 105,  58, 186, 104,  58, 188, 105,  56, 188, 105,  57,
   188, 104,  53, 189, 104,  55, 189, 105,  54, 188, 102,  48, 187, 103,  47, 187, 101,  47, 184, 101,  46, 184, 100,  44, 183,  98,  43, 184,  99,  46, 181,  94,  37, 180,  92,  34, 181,  93,  29, 183,  92,  25, 182,  93,  29, 183,  95,  29, 181,  92,  21, 180,  90,  19, 176,  85,  16, 175,  86,  20, 177,  86,  20,
   174,  85,  19, 178,  89,  18, 179,  86,  12, 180,  88,  13, 181,  88,  12, 181,  88,  10, 181,  87,   8, 180,  89,   6, 181,  87,   5, 182,  87,   4, 181,  89,   7, 181,  90,  10, 182,  89,  13, 182,  90,  15, 180,  88,  18, 178,  88,  21, 177,  89,  15, 173,  87,  16, 173,  85,  19, 171,  85,  21, 171,  86,  19,
    59,  77,  85,  67,  85,  93,  77,  95, 106,  90, 108, 119,  86, 104, 116,  82, 101, 111,  74,  91, 102,  68,  85,  96,  65,  79,  92,  71,  84,  97,  53,  69,  78,  77,  97, 108, 105, 131, 143, 135, 162, 174, 139, 166, 180, 137, 166, 180, 127, 160, 173, 121, 152, 167, 122, 153, 166, 124, 151, 168, 123, 148, 164,
   132, 152, 167, 138, 155, 168, 145, 162, 171, 144, 161, 171, 145, 162, 171, 136, 153, 163, 157, 174, 183, 158, 176, 184, 163, 180, 189, 150, 167, 180, 148, 167, 177, 143, 161, 174, 126, 145, 159, 116, 138, 151, 120, 142, 154, 113, 137, 148, 104, 129, 141, 101, 127, 139,  94, 120, 132,  97, 123, 135,  95, 123, 134,
    98, 125, 136,  97, 124, 136,  98, 125, 137,  98, 125, 137,  98, 124, 136,  96, 124, 135,  96, 123, 134,  97, 126, 137,  97, 125, 135,  96, 124, 135,  98, 126, 137,  97, 125, 136, 102, 128, 141, 106, 133, 145, 118, 143, 156, 139, 164, 175, 156, 179, 190, 155, 178, 190, 165, 183, 196, 188, 205, 217, 203, 220, 230,
   186, 203, 215, 187, 204, 216, 181, 198, 211, 174, 190, 206, 163, 179, 195, 166, 182, 200, 156, 172, 188, 133, 151, 172, 119, 136, 159, 116, 131, 158, 126, 142, 165, 136, 153, 174, 138, 155, 176, 151, 168, 188, 137, 154, 178, 135, 151, 176, 121, 139, 166, 128, 148, 176, 119, 140, 172,  83, 102, 139,  65,  85, 125,
    53,  71, 112,  34,  49,  90,  16,  26,  61,   8,  11,  38,   1,   1,  23,   0,   0,  18,   0,   0,  12,   0,   1,  13,   1,   4,  17,   7,  10,  28,  11,  19,  47,  25,  35,  73,  27,  40,  78,  33,  46,  82,  61,  77, 112, 119, 138, 167, 164, 183, 204, 165, 182, 202, 181, 197, 212, 184, 200, 214, 192, 209, 221,
   209, 225, 237, 188, 207, 218, 154, 170, 185, 175, 191, 204, 191, 208, 219, 164, 181, 194, 181, 199, 211, 182, 200, 210, 182, 200, 211, 188, 207, 215, 193, 210, 219, 199, 216, 226, 198, 216, 225, 204, 222, 230, 202, 219, 228, 206, 222, 232, 209, 227, 236, 219, 235, 246, 208, 224, 236, 208, 224, 236, 215, 230, 240,
   218, 235, 245, 223, 237, 247, 227, 243, 251, 229, 243, 251, 236, 251, 254, 230, 246, 253, 234, 249, 254, 239, 252, 254, 241, 253, 254, 230, 248, 254, 229, 244, 252, 226, 242, 249, 230, 246, 253, 234, 248, 253, 221, 237, 245, 227, 243, 249, 229, 245, 252, 227, 242, 250, 228, 244, 252, 236, 249, 253, 238, 252, 254,
   238, 251, 253, 234, 248, 253, 228, 242, 249, 236, 249, 252, 233, 248, 253, 236, 248, 255, 238, 250, 253, 238, 251, 252, 236, 250, 254, 231, 246, 251, 236, 251, 254, 235, 248, 253, 240, 251, 254, 237, 250, 253, 240, 252, 253, 237, 249, 252, 239, 253, 254, 238, 253, 254, 235, 252, 253, 234, 250, 254, 227, 245, 252,
   231, 247, 254, 232, 249, 253, 229, 246, 253, 229, 245, 251, 222, 237, 245, 218, 229, 240, 206, 217, 227, 206, 217, 227, 198, 202, 210, 195, 190, 196, 188, 178, 182, 181, 164, 163, 181, 166, 168, 187, 181, 187, 186, 171, 174, 180, 145, 137, 173, 138, 134, 174, 147, 146, 177, 130, 118, 178, 127, 111, 180, 125, 107,
   183, 120,  99, 183, 117,  82, 183, 114,  77, 188, 116,  78, 189, 113,  74, 186, 108,  65, 187, 109,  63, 188, 110,  65, 187, 107,  60, 186, 105,  60, 187, 106,  59, 187, 105,  58, 187, 105,  53, 188, 105,  55, 187, 103,  51, 190, 106,  53, 191, 107,  53, 190, 105,  49, 190, 104,  47, 190, 103,  45, 191, 104,  43,
   189, 101,  40, 189, 101,  40, 186,  98,  39, 186,  98,  37, 186,  99,  34, 188,  96,  32, 187,  91,  21, 186,  94,  25, 187,  96,  26, 186,  95,  22, 186,  94,  23, 185,  90,  15, 184,  91,  17, 184,  90,  15, 185,  89,  11, 185,  95,  12, 186,  89,   6, 187,  91,   7, 188,  95,  11, 187,  91,   7, 189,  90,   7,
   188,  92,   9, 190,  92,   8, 189,  92,   8, 190,  95,  12, 189,  95,  15, 189,  95,  16, 186,  94,  17, 186,  93,  18, 184,  92,  19, 185,  94,  15, 180,  91,  15, 177,  89,  17, 176,  87,  16, 171,  86,  14,  88, 106, 117,  88, 106, 118,  88, 107, 119,  96, 114, 125, 102, 120, 133,  86, 104, 115,  87, 103, 115,
    90, 106, 118,  93, 109, 120,  85, 102, 114,  86, 102, 114, 116, 140, 151, 126, 153, 164, 141, 169, 181, 147, 174, 187, 140, 169, 183, 132, 164, 178, 131, 163, 176, 133, 161, 176, 134, 160, 175, 132, 157, 171, 132, 153, 167, 140, 157, 168, 133, 150, 160, 138, 154, 165, 152, 169, 180, 155, 172, 180, 147, 165, 173,
   155, 173, 183, 156, 175, 184, 145, 163, 175, 126, 147, 159, 126, 147, 159, 107, 131, 145,  91, 117, 128,  93, 119, 131,  93, 120, 130,  94, 120, 133,  92, 120, 131,  94, 120, 131,  94, 123, 133,  94, 122, 133,  97, 124, 135,  97, 124, 136,  97, 125, 137,  97, 125, 136,  95, 123, 134,  96, 124, 135,  95, 121, 133,
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   155, 172, 191, 143, 160, 178, 129, 144, 170, 133, 148, 171, 120, 134, 161, 136, 151, 175, 136, 152, 177, 118, 135, 162,  98, 115, 143,  89, 109, 139,  84, 102, 136,  63,  82, 119,  53,  70, 106,  27,  38,  76,   7,  10,  43,   0,   0,  30,   1,   0,  24,   2,   0,  25,   1,   1,  22,   2,   2,  24,   2,   2,  15,
     1,   1,  11,   1,   1,   8,   1,   0,   6,   1,   1,   2,   1,   1,   6,  11,  15,  33,  24,  34,  69,  32,  44,  80,  46,  58,  92, 101, 119, 149, 125, 145, 173, 154, 172, 193, 184, 200, 216, 184, 200, 215, 192, 208, 220, 207, 223, 234, 149, 166, 181, 168, 185, 197, 189, 206, 217, 142, 160, 173, 152, 170, 183,
   173, 190, 202, 169, 187, 197, 182, 200, 211, 197, 213, 225, 193, 210, 221, 200, 216, 227, 195, 211, 223, 193, 211, 221, 202, 219, 228, 213, 230, 240, 210, 227, 238, 205, 223, 233, 206, 222, 234, 214, 231, 241, 213, 230, 240, 221, 237, 245, 230, 245, 252, 218, 233, 243, 232, 248, 253, 230, 246, 253, 237, 252, 254,
   238, 252, 253, 244, 254, 255, 225, 241, 251, 227, 244, 252, 231, 248, 254, 228, 243, 251, 227, 243, 251, 226, 243, 248, 231, 246, 253, 227, 241, 248, 225, 242, 250, 227, 241, 250, 238, 251, 254, 235, 250, 254, 235, 248, 254, 233, 246, 252, 228, 243, 251, 234, 248, 252, 232, 246, 252, 238, 250, 253, 240, 252, 254,
   238, 252, 254, 237, 251, 253, 237, 251, 254, 239, 252, 254, 244, 255, 254, 250, 254, 254, 241, 254, 253, 236, 249, 253, 235, 250, 253, 247, 253, 253, 242, 253, 254, 240, 252, 252, 241, 253, 254, 237, 250, 254, 235, 249, 254, 235, 252, 254, 232, 250, 254, 233, 249, 253, 231, 247, 254, 227, 239, 251, 221, 236, 249,
   209, 221, 232, 203, 210, 219, 194, 191, 196, 183, 169, 173, 182, 156, 151, 178, 154, 153, 185, 177, 183, 184, 173, 179, 182, 160, 160, 177, 153, 155, 177, 149, 148, 176, 128, 114, 180, 129, 113, 179, 126, 107, 180, 120,  95, 186, 126,  98, 188, 121,  88, 183, 112,  74, 186, 110,  70, 189, 110,  68, 188, 111,  65,
   189, 113,  65, 189, 110,  63, 186, 106,  59, 189, 107,  60, 188, 106,  58, 188, 105,  53, 191, 107,  57, 189, 106,  52, 191, 108,  51, 193, 108,  52, 191, 107,  49, 193, 105,  44, 195, 107,  46, 194, 107,  42, 192, 104,  38, 191, 102,  35, 188, 100,  34, 189,  99,  33, 191, 100,  33, 194,  99,  28, 196, 100,  28,
   193,  96,  25, 194,  98,  24, 193,  98,  22, 191,  96,  18, 192,  94,  10, 194,  97,  14, 193,  95,  12, 192,  94,  11, 191,  94,   9, 192,  94,   9, 194,  96,   8, 196,  98,  12, 194,  96,  11, 195,  96,  13, 195,  97,  14, 194,  96,  11, 195,  98,  14, 195,  99,  14, 196,  98,  14, 193,  95,  13, 191,  97,  18,
   190,  96,  21, 188,  95,  19, 188,  95,  17, 188,  97,  20, 183,  92,  16, 182,  92,  12, 179,  94,  18,  82,  99, 110,  86, 103, 115,  98, 117, 129, 100, 118, 129, 100, 117, 130, 102, 120, 131, 116, 133, 145, 127, 144, 155, 129, 147, 159, 127, 144, 157, 134, 154, 167, 133, 158, 170, 145, 171, 183, 147, 176, 187,
   147, 175, 186, 141, 170, 184, 137, 168, 181, 140, 168, 182, 141, 167, 183, 141, 166, 180, 147, 170, 181, 146, 164, 177, 140, 157, 169, 138, 154, 166, 124, 144, 154, 141, 158, 169, 145, 163, 172, 139, 158, 168, 133, 154, 165, 134, 154, 165, 127, 149, 161, 108, 133, 145,  96, 121, 133,  91, 117, 129,  87, 114, 125,
    87, 114, 126,  92, 119, 130,  91, 120, 130,  90, 119, 127,  90, 119, 128,  91, 120, 130,  93, 121, 132,  95, 122, 133,  96, 124, 135,  98, 126, 137, 100, 127, 139,  98, 126, 137,  97, 125, 135,  97, 125, 135,  94, 123, 132,  96, 123, 135, 102, 129, 140, 112, 138, 151, 126, 151, 164, 145, 169, 179, 156, 179, 189,
   173, 193, 204, 190, 208, 217, 193, 210, 221, 196, 212, 221, 205, 221, 232, 197, 214, 226, 198, 215, 226, 205, 221, 233, 202, 218, 231, 183, 199, 213, 173, 189, 206, 188, 206, 220, 178, 194, 208, 183, 199, 214, 168, 184, 200, 159, 176, 194, 146, 161, 183, 125, 139, 165,  93, 107, 136,  81,  94, 125,  89, 105, 133,
    75,  90, 120,  74,  87, 120,  70,  87, 120,  59,  78, 114,  30,  42,  78,   3,   6,  39,   1,   5,  39,   2,   4,  40,   2,   6,  44,   1,   3,  38,   1,   1,  35,   1,   1,  35,   1,   2,  36,   0,   1,  27,   1,   1,  20,   1,   1,  16,   0,   1,  13,   1,   0,   5,   0,   1,   4,   1,   1,   0,   1,   0,   4,
    15,  19,  42,  32,  42,  79,  33,  45,  78,  78,  96, 126, 112, 129, 156, 169, 186, 205, 153, 169, 189, 203, 219, 232, 197, 212, 224, 146, 162, 177, 154, 170, 183, 143, 161, 175, 144, 161, 176, 143, 160, 175, 165, 182, 195, 151, 168, 181, 174, 192, 202, 187, 205, 216, 186, 203, 215, 190, 208, 217, 180, 198, 209,
   185, 203, 214, 197, 214, 225, 208, 226, 237, 201, 218, 228, 202, 219, 227, 208, 224, 235, 208, 224, 237, 206, 223, 233, 228, 244, 252, 228, 244, 251, 223, 238, 247, 234, 248, 254, 227, 243, 252, 234, 248, 252, 236, 251, 252, 239, 252, 253, 227, 244, 252, 229, 245, 252, 234, 248, 253, 224, 239, 248, 229, 245, 252,
   228, 245, 251, 227, 242, 251, 233, 246, 253, 226, 239, 249, 228, 242, 250, 231, 245, 253, 230, 245, 251, 233, 248, 254, 224, 239, 247, 231, 247, 254, 225, 239, 248, 233, 247, 253, 232, 247, 253, 236, 250, 254, 232, 246, 253, 236, 250, 254, 235, 247, 252, 238, 251, 254, 242, 253, 253, 244, 253, 253, 242, 253, 253,
   242, 253, 254, 243, 252, 253, 238, 251, 252, 240, 252, 252, 239, 252, 254, 246, 254, 254, 244, 254, 254, 241, 254, 253, 237, 252, 253, 235, 253, 254, 233, 250, 253, 230, 247, 253, 228, 244, 254, 223, 239, 252, 214, 228, 239, 209, 219, 227, 197, 194, 199, 187, 177, 180, 181, 156, 153, 180, 159, 162, 188, 183, 188,
   190, 182, 187, 183, 169, 172, 178, 161, 164, 177, 152, 153, 181, 138, 126, 180, 133, 116, 182, 132, 114, 186, 131, 107, 183, 124,  95, 184, 113,  80, 183, 112,  74, 185, 111,  72, 188, 112,  70, 188, 113,  67, 190, 112,  65, 190, 112,  65, 189, 110,  63, 189, 109,  61, 190, 108,  60, 191, 108,  57, 189, 106,  53,
   193, 111,  54, 194, 110,  54, 196, 110,  52, 196, 109,  52, 196, 109,  46, 196, 109,  43, 197, 108,  41, 199, 108,  33, 197, 104,  27, 196, 103,  27, 197, 105,  29, 196, 102,  28, 200, 105,  26, 200, 104,  20, 201, 103,  17, 199, 101,  17, 201, 101,  16, 200, 100,  12, 199,  98,   8, 197,  99,   8, 196,  98,   8,
   197, 100,  10, 199,  99,   7, 197,  98,   4, 201, 103,   6, 198,  99,   6, 196,  98,   7, 198,  99,  11, 196,  99,  11, 197,  99,  14, 199, 101,  17, 197, 100,  12, 197, 100,  14, 196,  97,  15, 192,  98,  21, 191,  98,  20, 192,  97,  22, 190,  95,  20, 188,  95,  19, 187,  95,  17, 185,  94,  17, 180,  91,  14,
    96, 113, 125,  96, 115, 125,  86, 103, 115,  84, 103, 113,  96, 114, 125, 113, 131, 142, 122, 140, 151, 129, 147, 158, 134, 152, 164, 131, 149, 162, 132, 157, 169, 145, 170, 182, 147, 175, 185, 148, 177, 187, 143, 172, 183, 144, 173, 186, 141, 171, 185, 144, 172, 186, 143, 170, 184, 146, 170, 182, 149, 171, 183,
   152, 170, 182, 144, 161, 172, 133, 150, 162, 119, 138, 151, 115, 135, 148, 110, 131, 143, 111, 134, 145, 112, 134, 146, 115, 138, 149, 109, 133, 145,  94, 120, 132,  86, 113, 124,  88, 113, 125,  90, 117, 128,  89, 119, 127,  89, 118, 127,  88, 117, 126,  88, 117, 126,  88, 117, 126,  90, 120, 128,  93, 121, 132,
    96, 123, 135,  98, 126, 137, 100, 127, 139,  99, 127, 138,  98, 126, 135,  96, 125, 135,  98, 126, 137, 104, 130, 144, 111, 137, 149, 127, 152, 164, 145, 169, 180, 153, 176, 188, 172, 190, 201, 184, 202, 213, 192, 210, 219, 206, 223, 232, 205, 221, 232, 204, 221, 232, 204, 220, 231, 200, 216, 228, 193, 209, 221,
   201, 218, 229, 204, 220, 232, 193, 210, 224, 187, 203, 218, 192, 209, 221, 192, 209, 222, 172, 188, 205, 169, 186, 202, 149, 166, 186, 128, 141, 166, 121, 134, 162,  97, 110, 140,  68,  81, 114,  77,  90, 121,  71,  83, 115,  74,  87, 120,  52,  69, 102,  11,  19,  51,   2,  10,  43,   3,  16,  50,   5,  21,  55,
     5,  20,  54,   5,  18,  55,   3,  16,  55,   2,   6,  47,   2,   4,  44,   3,   3,  44,   2,   4,  40,   1,   2,  30,   1,   1,  28,   2,   2,  23,   1,   1,  19,   1,   2,  13,   1,   1,  10,   1,   2,   8,   0,   1,   8,   5,   8,  22,  31,  41,  73,  33,  44,  74,  81,  98, 125, 109, 126, 152, 125, 143, 164,
   177, 193, 207, 173, 190, 204, 147, 163, 179, 169, 185, 197, 141, 159, 174, 170, 187, 199, 150, 167, 180, 167, 183, 195, 158, 175, 189, 180, 196, 208, 161, 178, 191, 178, 196, 207, 174, 191, 203, 177, 195, 206, 175, 194, 204, 195, 213, 224, 190, 207, 219, 188, 206, 217, 200, 217, 225, 208, 226, 234, 202, 219, 230,
   216, 233, 242, 221, 237, 246, 215, 232, 243, 224, 240, 248, 234, 248, 253, 230, 246, 251, 236, 248, 254, 232, 247, 253, 242, 253, 253, 231, 247, 253, 228, 245, 251, 230, 245, 251, 224, 239, 248, 228, 242, 250, 219, 235, 243, 231, 247, 253, 228, 244, 251, 224, 238, 246, 223, 238, 246, 224, 239, 247, 229, 244, 251,
   227, 243, 252, 231, 246, 252, 226, 240, 251, 227, 242, 250, 229, 243, 251, 228, 243, 252, 233, 247, 254, 234, 250, 252, 237, 250, 254, 243, 253, 253, 248, 253, 253, 251, 254, 254, 251, 254, 254, 251, 254, 254, 250, 254, 254, 248, 253, 252, 246, 254, 254, 239, 251, 253, 234, 249, 251, 233, 250, 251, 238, 252, 253,
   238, 251, 254, 239, 254, 254, 239, 254, 253, 235, 254, 255, 236, 253, 253, 233, 250, 253, 229, 247, 253, 223, 238, 250, 215, 224, 233, 201, 203, 207, 187, 177, 180, 187, 169, 167, 188, 171, 174, 192, 184, 191, 194, 187, 193, 190, 174, 178, 182, 155, 151, 179, 144, 136, 178, 129, 114, 180, 136, 120, 186, 136, 119,
   183, 123,  96, 186, 121,  91, 186, 116,  82, 185, 115,  77, 187, 115,  77, 188, 115,  72, 190, 115,  71, 190, 113,  66, 191, 113,  66, 191, 112,  64, 192, 113,  64, 193, 110,  59, 193, 109,  57, 192, 109,  53, 195, 112,  55, 195, 111,  53, 198, 113,  52, 199, 112,  48, 199, 110,  43, 201, 110,  41, 203, 112,  39,
   201, 109,  27, 204, 108,  25, 203, 108,  23, 207, 109,  23, 207, 109,  25, 205, 108,  20, 206, 109,  16, 204, 107,  13, 202, 104,   8, 205, 106,   6, 203, 105,   7, 204, 103,   2, 203, 103,   5, 202, 102,   5, 203, 103,   5, 202, 102,   5, 201, 102,   3, 203, 103,   5, 202, 103,   4, 199, 101,   4, 200, 102,   8,
   199, 101,  13, 201, 103,  18, 200, 103,  16, 198, 100,  14, 197, 101,  14, 196,  99,  18, 193, 100,  22, 192,  99,  21, 190,  97,  20, 189,  96,  18, 190,  96,  22, 187,  94,  18, 186,  95,  19, 182,  94,  19, 114, 132, 144, 121, 139, 151, 130, 147, 159, 132, 149, 161, 120, 138, 150, 120, 138, 149, 122, 140, 151,
   130, 147, 159, 122, 139, 151, 124, 145, 158, 136, 160, 172, 143, 170, 182, 146, 173, 184, 141, 169, 184, 147, 176, 186, 145, 175, 187, 146, 175, 188, 145, 173, 186, 144, 172, 185, 144, 169, 183, 143, 165, 178, 141, 160, 174, 126, 145, 157, 124, 144, 156, 112, 134, 146, 101, 124, 136,  90, 115, 126,  84, 111, 121,
    85, 111, 121,  86, 112, 123,  89, 115, 126,  82, 111, 120,  83, 112, 121,  84, 112, 122,  85, 115, 124,  86, 115, 124,  85, 114, 123,  85, 114, 123,  87, 116, 125,  89, 118, 127,  90, 119, 128,  92, 120, 130,  95, 123, 134,  95, 123, 134,  96, 124, 135,  96, 123, 135,  97, 125, 135, 108, 134, 146, 119, 145, 157,
   136, 160, 173, 145, 168, 179, 149, 172, 184, 176, 196, 206, 183, 203, 214, 194, 211, 221, 195, 213, 223, 204, 221, 232, 199, 217, 228, 200, 218, 228, 200, 218, 229, 204, 221, 232, 198, 217, 227, 209, 225, 237, 207, 225, 236, 205, 221, 235, 199, 216, 228, 197, 213, 229, 192, 208, 222, 201, 217, 230, 193, 209, 225,
   178, 194, 211, 168, 184, 202, 146, 162, 184, 125, 137, 166, 113, 129, 160,  82,  96, 129,  71,  86, 117,  73,  86, 118,  39,  51,  81,   5,  19,  46,   7,  25,  56,  10,  29,  64,  20,  46,  81,  41,  74, 109,  33,  66,  97,  26,  57,  92,  13,  45,  81,   8,  26,  69,   9,  32,  74,   4,   7,  47,   4,  12,  53,
     4,   4,  21,   4,   6,  36,   2,   6,  37,   3,   3,  32,   1,   1,  23,   0,   1,  20,   0,   1,  15,   1,   1,  11,   1,   1,   7,   4,   5,  19,  29,  41,  73,  34,  44,  75,  80,  96, 123, 114, 132, 154, 158, 175, 192, 176, 191, 208, 176, 193, 205, 157, 174, 187, 149, 165, 180, 166, 184, 195, 153, 171, 184,
   163, 179, 190, 149, 166, 179, 184, 201, 212, 140, 157, 170, 173, 189, 201, 172, 190, 201, 169, 187, 200, 173, 191, 200, 177, 196, 205, 178, 196, 207, 168, 187, 198, 191, 208, 217, 206, 223, 232, 202, 219, 229, 217, 233, 244, 215, 231, 242, 222, 237, 247, 224, 240, 248, 235, 248, 254, 221, 238, 246, 233, 248, 253,
   227, 243, 251, 240, 254, 253, 229, 244, 250, 229, 244, 251, 222, 238, 245, 229, 245, 253, 230, 244, 252, 224, 241, 247, 233, 246, 253, 222, 238, 246, 223, 238, 246, 225, 239, 248, 222, 238, 246, 225, 240, 250, 224, 241, 249, 227, 241, 251, 223, 238, 251, 225, 241, 250, 233, 249, 254, 230, 246, 253, 229, 245, 252,
   234, 251, 253, 235, 248, 252, 237, 249, 252, 242, 253, 254, 242, 250, 253, 238, 250, 252, 239, 252, 254, 243, 254, 254, 248, 254, 254, 249, 254, 254, 243, 253, 253, 245, 254, 254, 243, 253, 253, 239, 254, 254, 236, 252, 254, 236, 250, 252, 236, 252, 252, 233, 251, 253, 240, 255, 253, 236, 254, 253, 235, 255, 254,
   227, 243, 253, 220, 232, 242, 200, 203, 208, 198, 197, 200, 192, 180, 183, 192, 178, 181, 192, 179, 183, 187, 174, 176, 182, 162, 161, 178, 143, 136, 181, 140, 126, 183, 136, 122, 183, 134, 117, 184, 133, 113, 186, 127, 101, 185, 122,  93, 188, 124,  90, 187, 118,  80, 188, 117,  78, 190, 117,  74, 192, 117,  71,
   193, 116,  71, 191, 113,  66, 192, 114,  65, 194, 113,  64, 195, 114,  63, 198, 115,  61, 197, 114,  57, 199, 115,  54, 200, 114,  50, 202, 116,  51, 202, 115,  48, 203, 115,  45, 206, 115,  39, 207, 115,  37, 209, 112,  25, 211, 114,  27, 209, 113,  22, 212, 114,  30, 211, 114,  26, 207, 110,  17, 209, 110,  13,
   208, 109,  11, 208, 109,   9, 205, 106,   5, 205, 105,   6, 206, 106,   4, 204, 104,   3, 204, 104,   4, 205, 104,   5, 202, 101,   3, 204, 103,   5, 204, 106,   5, 202, 104,   3, 202, 104,   5, 199, 101,   8, 199, 101,  13, 199, 101,  17, 199, 101,  18, 197,  99,  15, 196, 100,  17, 193,  98,  19, 191,  97,  21,
   193,  98,  23, 190,  98,  22, 191,  98,  22, 189,  96,  21, 187,  96,  20, 187,  96,  21, 181,  93,  18, 127, 145, 156, 122, 140, 151, 121, 139, 150, 127, 145, 156, 108, 125, 136, 116, 133, 144, 116, 132, 145, 110, 127, 139, 100, 118, 130, 116, 138, 149, 129, 156, 168, 139, 166, 177, 139, 167, 178, 141, 171, 182,
   149, 178, 188, 149, 178, 189, 146, 173, 188, 142, 171, 183, 141, 168, 181, 136, 162, 176, 127, 150, 166, 122, 143, 158, 112, 133, 145, 100, 123, 134,  93, 118, 129,  85, 112, 122,  79, 105, 115,  77, 104, 114,  74, 101, 111,  73, 100, 110,  74, 102, 112,  75, 104, 113,  75, 104, 113,  78, 107, 116,  81, 109, 119,
    82, 110, 120,  84, 113, 123,  86, 115, 124,  89, 117, 127,  89, 118, 127,  88, 118, 127,  90, 119, 128,  92, 120, 131,  93, 121, 132,  96, 123, 135, 106, 132, 146, 118, 146, 156, 133, 157, 169, 151, 173, 185, 158, 179, 191, 172, 192, 204, 167, 187, 200, 182, 202, 212, 198, 216, 227, 200, 217, 227, 207, 225, 234,
   208, 226, 237, 207, 225, 235, 199, 217, 228, 196, 214, 225, 210, 226, 238, 210, 227, 239, 221, 235, 248, 212, 227, 239, 217, 232, 246, 220, 236, 246, 210, 227, 240, 216, 231, 244, 207, 224, 236, 201, 217, 230, 197, 213, 229, 186, 201, 218, 180, 195, 214, 150, 164, 188, 114, 130, 160, 109, 123, 155,  96, 109, 138,
    72,  84, 110,   0,   8,  37,  20,  39,  68,  42,  69,  98,  62,  96, 131,  64, 105, 143,  57, 110, 158,  42,  98, 143,  56, 119, 168,  59, 120, 166,  38, 106, 159,  13,  72, 135,  22,  56,  91,  10,  14,  37,   3,   2,   2,   2,   6,  19,  11,  26,  58,  14,  26,  56,   4,   9,  39,   2,   2,  27,   2,   2,  24,
     1,   1,  20,   2,   1,  14,   1,   1,  12,   5,   7,  23,  32,  40,  74,  43,  53,  82,  87, 103, 129, 125, 144, 163, 162, 179, 196, 190, 206, 218, 146, 162, 178, 176, 193, 204, 173, 189, 201, 166, 183, 196, 163, 179, 191, 164, 180, 193, 166, 182, 194, 138, 154, 171, 159, 175, 188, 162, 180, 191, 161, 179, 191,
   176, 192, 204, 170, 188, 199, 179, 196, 208, 172, 189, 200, 188, 205, 214, 204, 221, 229, 203, 221, 230, 212, 229, 238, 209, 225, 237, 222, 237, 246, 222, 236, 246, 227, 243, 250, 215, 231, 238, 238, 249, 254, 232, 249, 252, 235, 249, 254, 231, 247, 251, 231, 245, 252, 226, 242, 250, 226, 240, 250, 226, 241, 249,
   234, 248, 253, 230, 245, 252, 218, 233, 243, 217, 232, 241, 221, 236, 248, 220, 236, 248, 220, 236, 248, 221, 239, 250, 220, 236, 249, 224, 241, 252, 224, 241, 252, 226, 243, 254, 230, 248, 253, 232, 250, 253, 228, 246, 250, 235, 252, 253, 237, 253, 253, 232, 248, 254, 236, 250, 254, 234, 248, 253, 225, 241, 250,
   237, 252, 253, 238, 251, 251, 243, 254, 254, 253, 254, 254, 254, 255, 254, 251, 255, 254, 243, 254, 253, 243, 254, 253, 238, 254, 253, 240, 253, 254, 233, 252, 253, 234, 252, 253, 236, 254, 255, 235, 253, 254, 230, 244, 253, 215, 230, 239, 205, 214, 221, 199, 201, 208, 193, 185, 187, 192, 179, 182, 190, 177, 177,
   186, 170, 172, 186, 165, 166, 182, 154, 149, 185, 147, 137, 186, 142, 127, 185, 135, 115, 187, 126, 101, 187, 126,  96, 190, 133, 107, 189, 129,  99, 189, 121,  85, 189, 119,  80, 191, 120,  80, 192, 120,  78, 194, 118,  75, 195, 118,  72, 193, 116,  67, 199, 119,  66, 200, 118,  64, 203, 120,  63, 205, 121,  61,
   206, 119,  56, 204, 117,  52, 207, 119,  50, 208, 117,  45, 209, 116,  42, 211, 119,  44, 213, 121,  41, 214, 119,  34, 211, 117,  28, 214, 118,  32, 215, 117,  32, 215, 116,  32, 212, 114,  23, 211, 113,  20, 210, 113,  16, 208, 107,   8, 208, 110,  11, 209, 108,   8, 205, 105,   3, 206, 107,   3, 206, 105,   5,
   204, 103,   5, 206, 105,   7, 204, 104,   7, 204, 106,   8, 202, 104,   3, 202, 104,   7, 201, 103,  11, 200, 101,  15, 199, 101,  18, 199, 102,  20, 197, 101,  18, 196, 101,  22, 194, 100,  24, 193, 100,  22, 192, 100,  23, 191,  98,  25, 191, 100,  27, 189,  98,  25, 185,  95,  24, 184,  95,  20, 184,  96,  26,
   136, 154, 164, 129, 147, 158, 112, 130, 142,  99, 117, 128,  96, 114, 125,  90, 107, 118, 103, 119, 131, 101, 118, 129,  97, 116, 127, 109, 132, 143, 124, 150, 162, 130, 158, 169, 133, 162, 173, 145, 175, 186, 149, 178, 188, 144, 174, 185, 139, 168, 181, 133, 162, 176, 129, 158, 172, 120, 147, 161, 109, 134, 147,
    99, 124, 136,  94, 119, 131,  88, 115, 126,  82, 109, 120,  77, 104, 114,  72, 100, 109,  69,  97, 106,  66,  94, 103,  67,  94, 104,  66,  93, 103,  69,  98, 107,  72, 101, 110,  78, 107, 116,  80, 108, 118,  84, 112, 123,  84, 113, 123,  89, 118, 127,  88, 116, 126,  90, 119, 128,  90, 118, 129,  94, 121, 133,
   102, 130, 140, 112, 137, 148, 119, 143, 156, 133, 159, 171, 144, 167, 178, 161, 182, 193, 179, 199, 210, 186, 205, 216, 187, 205, 218, 185, 203, 214, 187, 206, 218, 196, 214, 224, 200, 217, 229, 205, 223, 234, 215, 232, 244, 220, 236, 248, 217, 234, 244, 206, 223, 234, 208, 226, 237, 218, 233, 245, 220, 234, 246,
   220, 236, 248, 219, 236, 248, 228, 244, 252, 232, 248, 252, 224, 240, 251, 219, 234, 248, 224, 238, 250, 227, 241, 254, 222, 237, 246, 207, 221, 233, 178, 192, 215, 170, 183, 209, 155, 168, 196, 157, 169, 196,  69,  85, 113,  44,  66,  98,  69,  99, 134,  89, 129, 165,  75, 120, 163, 102, 157, 200,  86, 153, 202,
   100, 172, 221,  68, 157, 219,  91, 175, 232,  38, 133, 196,  22, 127, 197,  47, 120, 163,  30,  35,  39,   2,   2,   1,  12,  20,  29,  76, 124, 162,  40,  57,  93,  21,  34,  63,   2,   8,  43,   2,   3,  32,   2,   1,  25,   1,   1,  21,   1,   1,  17,   1,   1,  12,  15,  22,  46,  30,  40,  70,  58,  71,  98,
    92, 110, 133, 114, 131, 151, 160, 177, 190, 126, 143, 159, 192, 208, 218, 188, 205, 216, 173, 189, 201, 179, 195, 207, 170, 187, 198, 151, 169, 182, 136, 152, 167, 182, 199, 210, 165, 184, 194, 157, 175, 187, 173, 189, 201, 165, 183, 194, 172, 190, 201, 173, 192, 201, 188, 206, 215, 197, 214, 223, 194, 211, 222,
   202, 220, 229, 205, 222, 231, 224, 238, 248, 217, 233, 242, 224, 240, 248, 218, 232, 240, 237, 253, 253, 239, 253, 253, 235, 251, 253, 236, 250, 254, 233, 247, 254, 228, 243, 251, 222, 237, 246, 226, 242, 249, 234, 248, 254, 230, 245, 253, 219, 234, 244, 219, 234, 243, 215, 232, 244, 220, 236, 248, 215, 233, 245,
   212, 230, 244, 217, 235, 250, 220, 237, 251, 225, 242, 252, 231, 250, 254, 229, 247, 253, 224, 243, 251, 230, 250, 253, 227, 246, 252, 218, 237, 249, 224, 242, 251, 215, 233, 246, 215, 234, 247, 215, 231, 245, 219, 234, 247, 234, 248, 253, 235, 249, 253, 245, 252, 253, 247, 254, 254, 241, 252, 254, 247, 254, 254,
   241, 253, 253, 245, 254, 254, 245, 254, 254, 235, 254, 253, 239, 253, 254, 233, 251, 253, 234, 253, 254, 232, 248, 254, 228, 243, 253, 212, 227, 238, 208, 217, 225, 198, 199, 205, 194, 192, 197, 191, 183, 185, 185, 174, 177, 186, 173, 175, 183, 165, 161, 184, 144, 134, 185, 140, 124, 186, 134, 113, 185, 127, 101,
   187, 126,  97, 184, 121,  92, 184, 125,  97, 187, 124,  92, 187, 118,  80, 189, 118,  81, 191, 120,  80, 192, 117,  74, 194, 119,  72, 196, 120,  70, 198, 122,  69, 204, 123,  68, 205, 123,  65, 207, 124,  63, 209, 124,  59, 208, 122,  55, 213, 125,  54, 212, 121,  48, 216, 124,  54, 217, 123,  48, 213, 119,  43,
   216, 123,  40, 214, 119,  34, 216, 123,  37, 215, 118,  32, 212, 114,  27, 212, 115,  25, 212, 116,  21, 211, 112,  16, 210, 111,  13, 207, 109,  10, 208, 108,  10, 207, 107,   6, 206, 106,   6, 206, 105,   6, 206, 108,   9, 206, 105,   7, 202, 103,  11, 202, 103,  12, 203, 104,   5, 200, 104,   9, 200, 103,  15,
   202, 104,  18, 200, 103,  19, 197, 100,  17, 199, 103,  20, 196, 102,  23, 195, 101,  23, 194,  99,  24, 191, 100,  25, 192,  99,  26, 188, 100,  29, 188, 100,  30, 186,  98,  31, 185,  98,  28, 182,  95,  25, 116, 134, 145, 123, 141, 152, 119, 137, 148, 119, 136, 147, 104, 122, 133, 102, 118, 131,  91, 108, 120,
   101, 117, 129, 111, 131, 143, 120, 145, 157, 120, 147, 159, 123, 151, 162, 132, 161, 174, 139, 169, 181, 137, 167, 180, 132, 161, 175, 126, 156, 170, 121, 154, 167, 111, 141, 155,  99, 127, 140,  90, 119, 130,  90, 118, 129,  92, 118, 130,  86, 112, 124,  83, 111, 121,  75, 104, 113,  68,  97, 106,  63,  92, 101,
    63,  92, 100,  64,  93, 102,  68,  95, 106,  71, 100, 109,  77, 106, 115,  81, 110, 119,  85, 114, 124,  88, 115, 126,  89, 116, 128,  91, 120, 129,  94, 122, 132, 100, 127, 138, 114, 139, 151, 120, 144, 157, 133, 155, 168, 151, 173, 184, 161, 181, 193, 159, 181, 192, 173, 192, 202, 178, 197, 208, 192, 211, 220,
   204, 222, 231, 203, 221, 232, 195, 213, 225, 194, 211, 224, 193, 210, 222, 199, 217, 228, 210, 226, 238, 216, 232, 244, 223, 239, 251, 225, 240, 250, 222, 238, 250, 222, 237, 248, 220, 236, 247, 228, 243, 254, 225, 240, 250, 227, 242, 250, 228, 241, 251, 236, 252, 253, 236, 251, 253, 223, 239, 247, 215, 230, 243,
   228, 241, 252, 232, 246, 252, 235, 249, 255, 209, 223, 242, 187, 202, 225, 179, 193, 217, 189, 204, 228,  78,  97, 130,  78, 111, 146, 113, 150, 185, 104, 159, 203, 104, 162, 207, 109, 172, 217, 112, 186, 235,  99, 189, 243,  73, 173, 238,  70, 164, 226, 111, 171, 200, 114, 149, 162,  90, 112, 123,  12,  13,  19,
     3,   2,   3,  27,  43,  54, 186, 237, 255,  70, 165, 225,  21,  72, 117,   4,  20,  56,   2,   9,  43,   2,   3,  33,   0,   1,  25,   2,   1,  24,   2,   1,  20,   3,   3,  14,  32,  42,  76,  36,  46,  74,  66,  80, 105,  97, 113, 133, 143, 161, 178, 129, 147, 164, 183, 199, 210, 167, 183, 194, 168, 185, 196,
   199, 215, 227, 173, 189, 202, 172, 189, 200, 143, 162, 172, 183, 199, 209, 173, 189, 201, 151, 168, 179, 175, 192, 203, 162, 180, 191, 169, 186, 197, 186, 204, 212, 180, 198, 208, 197, 214, 222, 195, 213, 222, 200, 216, 226, 205, 222, 231, 216, 232, 240, 219, 235, 245, 235, 250, 255, 226, 239, 246, 233, 249, 253,
   235, 250, 252, 237, 252, 253, 236, 251, 253, 223, 239, 248, 227, 241, 250, 227, 243, 251, 225, 241, 248, 231, 245, 253, 226, 242, 251, 220, 235, 244, 221, 236, 247, 218, 234, 246, 214, 231, 245, 214, 232, 248, 209, 228, 245, 217, 236, 252, 214, 236, 251, 215, 238, 251, 223, 243, 252, 217, 238, 250, 185, 209, 234,
   196, 220, 239, 183, 208, 228, 171, 194, 217, 177, 201, 229, 184, 207, 233, 198, 219, 239, 200, 219, 237, 205, 222, 239, 220, 236, 248, 230, 244, 253, 224, 239, 249, 234, 250, 255, 237, 251, 254, 231, 248, 252, 239, 253, 253, 240, 254, 253, 237, 252, 255, 233, 250, 254, 240, 254, 253, 242, 254, 253, 238, 253, 254,
   234, 251, 254, 231, 248, 254, 222, 238, 251, 212, 225, 236, 203, 211, 220, 200, 206, 212, 191, 192, 197, 192, 186, 193, 188, 179, 181, 182, 156, 150, 184, 147, 139, 182, 133, 116, 180, 124, 103, 176, 119,  96, 174, 116,  91, 173, 116,  91, 177, 118,  92, 178, 115,  87, 180, 117,  88, 178, 110,  78, 179, 110,  72,
   182, 111,  68, 187, 115,  69, 192, 118,  67, 197, 119,  67, 199, 120,  64, 202, 122,  62, 204, 122,  62, 208, 124,  58, 212, 126,  59, 210, 126,  54, 213, 124,  54, 215, 126,  57, 215, 123,  52, 217, 125,  49, 215, 123,  40, 215, 122,  40, 215, 121,  38, 215, 120,  35, 214, 118,  30, 213, 115,  27, 211, 113,  19,
   210, 112,  19, 209, 112,  17, 208, 112,  18, 207, 109,  12, 210, 109,  11, 207, 109,  13, 205, 106,   8, 202, 107,   9, 202, 105,   8, 201, 104,  11, 201, 102,  13, 202, 104,  10, 201, 105,  12, 198, 104,  14, 200, 104,  16, 198, 102,  18, 198, 103,  19, 198, 103,  20, 193, 101,  21, 195, 102,  27, 196, 102,  28,
   191, 100,  27, 188,  97,  24, 188,  98,  29, 188,  98,  31, 185,  99,  30, 183,  97,  30, 182,  95,  27, 102, 120, 131, 100, 118, 129, 117, 134, 146, 123, 141, 152, 119, 136, 148, 108, 124, 137, 100, 117, 129, 111, 128, 140, 114, 135, 147, 114, 140, 152, 113, 141, 153, 115, 144, 155, 122, 153, 167, 123, 155, 168,
   120, 152, 165, 117, 147, 161, 114, 146, 159, 109, 141, 154, 100, 129, 143,  92, 122, 135,  90, 119, 130,  91, 119, 130,  90, 117, 130,  85, 113, 124,  79, 107, 117,  72, 100, 109,  68,  98, 106,  67,  96, 105,  69,  98, 107,  71, 100, 109,  78, 107, 116,  82, 111, 120,  87, 115, 125,  89, 117, 128,  90, 119, 129,
    96, 123, 134, 102, 128, 140, 116, 140, 152, 123, 146, 158, 130, 153, 165, 140, 163, 174, 159, 180, 191, 158, 178, 189, 170, 189, 200, 176, 195, 206, 189, 209, 218, 191, 210, 220, 201, 219, 229, 200, 218, 227, 205, 224, 234, 210, 226, 238, 206, 224, 236, 206, 224, 235, 203, 220, 232, 202, 219, 230, 201, 218, 230,
   216, 232, 245, 216, 232, 245, 223, 239, 250, 225, 242, 251, 229, 243, 252, 229, 246, 253, 230, 246, 253, 233, 249, 253, 237, 251, 254, 238, 252, 254, 238, 253, 253, 244, 254, 254, 245, 255, 254, 242, 253, 254, 249, 252, 254, 247, 253, 253, 248, 253, 254, 233, 247, 252, 200, 215, 236, 192, 208, 232, 202, 218, 243,
   122, 142, 174,  91, 126, 163, 109, 160, 203, 126, 185, 227, 129, 192, 228, 115, 192, 237, 118, 195, 244, 111, 192, 241,  82, 166, 222, 101, 184, 228, 142, 189, 204, 153, 174, 170, 113, 112, 104,   9,   9,  14,   1,   2,   1,  13,  24,  33, 126, 200, 234,   9, 156, 228,  15, 152, 224,  21,  91, 141,   7,  20,  57,
     2,   9,  40,   2,   3,  30,   2,   1,  25,   1,   1,  22,   1,   0,  11,  21,  29,  59,  30,  41,  68,  45,  56,  81,  79,  93, 115, 112, 129, 148, 119, 134, 151, 187, 203, 214, 182, 199, 208, 189, 205, 214, 207, 223, 233, 164, 180, 191, 195, 212, 220, 168, 186, 195, 181, 198, 207, 167, 183, 196, 162, 178, 190,
   180, 196, 208, 164, 182, 193, 179, 196, 207, 186, 202, 214, 185, 202, 212, 200, 218, 226, 192, 208, 220, 206, 223, 232, 205, 222, 231, 224, 239, 248, 214, 229, 239, 231, 247, 253, 224, 238, 246, 238, 252, 254, 239, 253, 254, 239, 252, 253, 229, 247, 253, 222, 237, 247, 228, 243, 249, 230, 244, 251, 234, 249, 254,
   228, 244, 252, 228, 244, 251, 220, 234, 247, 215, 232, 244, 216, 232, 246, 208, 225, 242, 203, 224, 242, 204, 226, 245, 207, 231, 248, 215, 242, 252, 208, 233, 249, 194, 221, 241, 146, 167, 195,  87, 108, 138,  41,  63, 108,  49,  71, 124,  62,  86, 138,  79, 105, 156, 122, 149, 190, 156, 182, 212, 180, 202, 228,
   194, 213, 233, 207, 225, 242, 213, 228, 245, 222, 238, 250, 222, 239, 251, 230, 244, 253, 228, 243, 253, 231, 246, 252, 236, 251, 253, 233, 246, 252, 237, 252, 254, 238, 253, 254, 236, 251, 254, 234, 251, 254, 237, 252, 253, 225, 243, 252, 227, 243, 254, 219, 235, 247, 216, 231, 245, 203, 221, 229, 195, 206, 215,
   195, 199, 207, 188, 180, 184, 184, 159, 158, 174, 136, 127, 166, 122, 105, 166, 118,  99, 163, 113,  93, 166, 116,  97, 167, 116,  98, 162, 112,  92, 162, 110,  88, 160, 101,  74, 167, 107,  78, 167, 103,  67, 173, 104,  64, 176, 107,  64, 181, 108,  60, 186, 111,  62, 189, 113,  62, 193, 112,  60, 197, 114,  59,
   198, 117,  58, 201, 118,  54, 202, 119,  53, 206, 121,  52, 210, 122,  53, 213, 123,  54, 215, 125,  52, 215, 126,  45, 216, 124,  45, 215, 122,  42, 215, 120,  38, 213, 118,  31, 213, 115,  29, 213, 117,  28, 212, 115,  24, 209, 113,  21, 207, 111,  19, 206, 107,  13, 205, 106,  12, 201, 104,  13, 198, 102,  13,
   196, 100,  14, 194,  99,  16, 192,  98,  13, 193,  98,  15, 191,  97,  12, 192,  97,  17, 188,  98,  20, 191,  98,  21, 192,  98,  20, 192, 100,  22, 192, 100,  21, 194, 101,  23, 192, 100,  27, 192, 100,  30, 193, 101,  32, 190, 101,  34, 192, 102,  36, 188, 100,  34, 185,  99,  32, 184,  97,  31, 184,  97,  31,
   105, 123, 134, 110, 129, 140,  96, 112, 124, 106, 124, 135, 112, 129, 142,  96, 113, 125,  85, 101, 113,  92, 112, 123, 102, 125, 136, 101, 127, 138, 102, 131, 141, 105, 136, 146, 109, 140, 152, 106, 139, 152, 106, 138, 151, 111, 143, 156, 108, 140, 154, 102, 133, 146,  95, 124, 138,  90, 119, 132,  90, 120, 132,
    89, 117, 128,  84, 113, 124,  80, 110, 120,  77, 106, 116,  77, 105, 114,  76, 105, 114,  79, 108, 117,  83, 112, 121,  85, 113, 123,  89, 118, 128,  95, 124, 133,  96, 123, 134, 101, 128, 140, 100, 126, 138, 106, 131, 143, 120, 143, 155, 149, 170, 181, 168, 187, 197, 180, 199, 208, 184, 202, 211, 180, 198, 209,
   184, 203, 214, 185, 203, 214, 184, 203, 214, 189, 208, 215, 201, 219, 230, 211, 228, 237, 208, 226, 236, 209, 226, 238, 212, 228, 240, 209, 226, 238, 208, 225, 236, 211, 227, 239, 210, 228, 239, 218, 233, 245, 221, 237, 246, 225, 239, 251, 216, 232, 244, 218, 233, 246, 226, 240, 251, 230, 245, 253, 234, 250, 254,
   238, 253, 254, 234, 250, 253, 240, 255, 254, 246, 254, 254, 249, 255, 254, 252, 254, 255, 252, 255, 255, 254, 255, 255, 255, 255, 255, 254, 254, 254, 244, 251, 252, 229, 243, 251, 205, 223, 245, 198, 217, 245, 154, 173, 208,  80, 115, 162,  97, 152, 200, 113, 174, 221, 126, 197, 243, 116, 203, 251,  79, 175, 235,
    86, 176, 228, 126, 203, 250, 101, 180, 223, 137, 179, 192, 145, 163, 160, 122, 124, 112,  19,  18,  21,   4,   4,   3,   5,   7,   9,  60, 112, 146,  36, 135, 198,  20, 147, 215,  56, 163, 223,  60, 120, 164,   6,  28,  57,   1,   5,  33,   2,   6,  34,   1,   3,  28,   1,   1,  17,  11,  14,  32,  30,  40,  70,
    38,  47,  73,  58,  72,  94,  82,  97, 117,  98, 114, 131, 163, 179, 191, 194, 211, 219, 207, 222, 232, 209, 225, 234, 184, 200, 210, 194, 211, 222, 194, 210, 219, 170, 187, 197, 176, 192, 204, 168, 185, 196, 181, 198, 208, 167, 184, 196, 158, 174, 186, 181, 196, 208, 185, 201, 211, 193, 211, 219, 194, 212, 222,
   212, 228, 235, 215, 233, 240, 212, 228, 238, 214, 231, 240, 226, 241, 249, 224, 238, 246, 236, 249, 253, 238, 252, 253, 241, 254, 254, 234, 250, 255, 233, 248, 254, 222, 238, 245, 232, 245, 251, 230, 245, 253, 230, 245, 252, 229, 246, 252, 219, 235, 248, 217, 234, 246, 206, 223, 239, 201, 222, 239, 204, 227, 246,
   207, 232, 250, 214, 242, 253, 196, 221, 241, 123, 147, 175,  35,  44,  83,   0,   0,  44,   0,   9,  54,   0,  17,  62,   5,  24,  71,  45,  68, 127,  65,  94, 152,  88, 118, 169, 125, 157, 198, 163, 188, 219, 180, 203, 228, 193, 211, 232, 195, 214, 232, 213, 229, 246, 217, 233, 248, 218, 234, 247, 221, 235, 249,
   225, 240, 251, 229, 247, 252, 235, 250, 254, 235, 251, 253, 232, 247, 253, 230, 245, 252, 226, 243, 251, 230, 246, 253, 227, 245, 253, 227, 244, 252, 222, 237, 251, 220, 236, 249, 213, 231, 244, 204, 219, 229, 194, 202, 209, 182, 176, 179, 169, 143, 140, 168, 135, 128, 162, 126, 119, 157, 124, 117, 151, 118, 109,
   150, 116, 107, 146, 106,  91, 147, 100,  81, 146,  98,  76, 144,  89,  62, 146,  90,  61, 153,  97,  68, 156,  95,  61, 160,  97,  60, 164,  97,  57, 169,  99,  56, 170, 100,  53, 172, 101,  54, 178, 103,  54, 181, 105,  53, 184, 104,  49, 186, 107,  48, 191, 111,  49, 195, 112,  49, 201, 115,  51, 203, 116,  47,
   207, 117,  41, 211, 119,  45, 212, 120,  44, 210, 118,  38, 210, 117,  35, 210, 114,  31, 205, 112,  23, 205, 109,  20, 201, 105,  15, 198, 101,  16, 195,  98,  17, 191,  96,  20, 187,  94,  19, 184,  93,  16, 180,  90,  11, 176,  89,  14, 176,  88,  13, 176,  88,  14, 175,  87,  11, 173,  89,  12, 171,  89,  15,
   172,  88,  18, 174,  87,  17, 178,  90,  17, 183,  93,  20, 183,  95,  20, 188,  97,  27, 187,  98,  28, 188, 101,  34, 188, 100,  35, 188, 100,  33, 188, 101,  35, 185, 100,  34, 184,  99,  33, 183,  96,  33, 104, 121, 133, 104, 122, 133, 103, 121, 132, 106, 124, 135, 108, 125, 136, 108, 126, 137,  89, 107, 118,
    79, 100, 111,  80, 105, 116,  82, 110, 120,  87, 116, 126,  90, 120, 131,  98, 128, 140,  97, 129, 142, 105, 135, 147, 108, 139, 152, 103, 134, 147,  94, 124, 137,  88, 119, 131,  84, 114, 125,  83, 113, 124,  82, 113, 124,  82, 112, 123,  82, 112, 123,  86, 115, 126,  88, 117, 127,  92, 120, 130,  94, 122, 132,
    97, 125, 136,  99, 126, 139, 104, 131, 144, 107, 134, 145, 109, 134, 146, 107, 132, 144, 110, 135, 148, 120, 143, 155, 132, 154, 166, 159, 176, 187, 183, 201, 209, 195, 212, 221, 200, 217, 226, 206, 224, 232, 198, 217, 225, 192, 210, 221, 195, 213, 224, 189, 207, 217, 198, 216, 227, 209, 226, 235, 213, 230, 240,
   211, 227, 239, 209, 225, 237, 208, 227, 237, 207, 225, 236, 204, 220, 232, 207, 225, 236, 213, 229, 241, 217, 233, 244, 217, 233, 244, 217, 233, 245, 220, 235, 247, 226, 241, 252, 237, 252, 254, 234, 249, 254, 236, 252, 253, 237, 251, 254, 236, 251, 254, 245, 254, 254, 248, 255, 254, 247, 254, 253, 253, 255, 255,
   253, 255, 255, 255, 255, 255, 254, 255, 255, 253, 254, 254, 251, 255, 254, 227, 244, 252, 200, 219, 249, 181, 201, 236,  58,  88, 142,  85, 136, 189, 107, 171, 219, 125, 194, 241, 119, 197, 247, 107, 193, 242,  71, 176, 239,  98, 187, 244,  86, 176, 235,  89, 160, 194, 114, 160, 179,  85, 120, 141,  29,  33,  41,
     7,   7,   7,  21,  21,  20, 118, 128, 128, 110, 154, 174, 120, 174, 199, 141, 195, 224,  94, 176, 225,  58, 115, 154,   4,   9,  37,   2,   6,  34,   1,   5,  33,   1,   1,  22,   5,   7,  18,  36,  45,  74,  33,  42,  69,  50,  61,  83,  68,  83, 104,  86, 101, 119, 127, 143, 159, 179, 195, 205, 215, 232, 240,
   200, 217, 225, 196, 211, 221, 192, 209, 217, 202, 218, 227, 176, 192, 204, 194, 211, 219, 169, 185, 196, 186, 203, 214, 176, 193, 204, 158, 174, 186, 185, 202, 211, 190, 208, 216, 187, 204, 213, 205, 223, 231, 196, 213, 221, 213, 230, 238, 214, 230, 240, 223, 238, 248, 222, 237, 247, 236, 250, 254, 231, 247, 253,
   239, 251, 254, 239, 253, 254, 234, 248, 253, 237, 250, 253, 231, 246, 253, 234, 248, 252, 232, 244, 253, 232, 247, 254, 229, 246, 253, 222, 238, 250, 216, 233, 248, 211, 231, 248, 199, 222, 243, 207, 233, 251, 213, 242, 250, 185, 210, 223,  39,  51,  86,   0,   4,  46,   1,  11,  55,   4,  24,  67,   8,  26,  71,
     7,  29,  73,  11,  34,  81,  12,  35,  84,  53,  83, 148,  76, 106, 164, 107, 139, 191, 148, 179, 217, 174, 198, 228, 188, 211, 233, 194, 214, 234, 211, 228, 244, 212, 228, 244, 215, 232, 246, 222, 238, 250, 233, 249, 254, 233, 250, 254, 236, 251, 254, 232, 249, 253, 235, 249, 254, 235, 249, 255, 240, 254, 255,
   234, 252, 254, 235, 253, 254, 232, 252, 254, 230, 245, 253, 226, 243, 253, 224, 243, 252, 211, 229, 240, 198, 210, 218, 189, 189, 193, 176, 167, 169, 163, 145, 142, 158, 138, 137, 149, 124, 122, 137, 107, 101, 131,  98,  84, 129,  87,  72, 125,  82,  65, 131,  87,  67, 130,  82,  60, 132,  80,  57, 131,  81,  56,
   135,  83,  57, 138,  82,  55, 139,  81,  50, 141,  82,  49, 145,  85,  47, 148,  84,  46, 155,  86,  47, 157,  89,  46, 161,  91,  45, 166,  92,  42, 173,  95,  42, 178, 100,  43, 184, 104,  46, 187, 107,  45, 191, 108,  42, 195, 109,  42, 199, 111,  42, 200, 111,  39, 200, 111,  34, 198, 107,  31, 193, 104,  27,
   190, 103,  25, 187,  98,  22, 183,  94,  18, 177,  89,  17, 174,  87,  15, 170,  86,  14, 166,  84,  14, 162,  80,  14, 160,  78,  13, 158,  79,  13, 158,  78,  17, 155,  77,  15, 155,  77,  13, 155,  76,  13, 157,  78,  18, 158,  78,  16, 162,  81,  19, 164,  83,  22, 165,  86,  23, 168,  87,  25, 176,  91,  27,
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    98, 128, 142,  94, 126, 137,  87, 117, 129,  82, 112, 123,  79, 109, 120,  80, 110, 121,  82, 112, 123,  86, 115, 126,  90, 120, 131,  96, 125, 136,  99, 129, 140, 102, 130, 141, 103, 131, 142, 106, 133, 145, 109, 135, 147, 115, 140, 152, 114, 139, 152, 118, 143, 154, 126, 150, 162, 126, 148, 160, 125, 149, 161,
   124, 146, 158, 144, 163, 176, 155, 171, 182, 178, 194, 204, 199, 217, 225, 203, 220, 229, 216, 233, 241, 215, 232, 241, 210, 227, 238, 199, 215, 227, 192, 209, 221, 195, 213, 224, 194, 212, 221, 210, 226, 237, 209, 225, 237, 207, 225, 236, 204, 222, 233, 208, 226, 237, 204, 220, 232, 200, 218, 230, 209, 226, 238,
   212, 228, 240, 219, 235, 244, 216, 232, 243, 221, 237, 246, 230, 244, 253, 235, 248, 255, 237, 252, 254, 235, 250, 254, 238, 253, 254, 236, 250, 253, 240, 253, 253, 243, 255, 253, 242, 255, 255, 245, 255, 254, 253, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 246, 253, 253, 211, 233, 253,
   197, 218, 251,  95, 122, 171,  55,  91, 156,  94, 152, 207, 137, 202, 245, 117, 197, 244, 114, 200, 250,  71, 183, 246,  93, 183, 235, 102, 182, 222,  44, 158, 217,  13, 147, 216,  12, 116, 178,  19,  76, 113,   2,   0,   0,  78,  76,  73, 140, 150, 143,  72, 141, 180,  82, 161, 203, 133, 188, 223, 138, 200, 241,
   109, 177, 223,  48,  84, 117,   2,   6,  35,   2,   5,  32,   2,   1,  22,   2,   4,  17,  34,  45,  75,  33,  41,  68,  48,  58,  82,  65,  77, 101,  80,  95, 115, 106, 122, 139, 146, 163, 175, 212, 227, 236, 207, 224, 234, 204, 219, 228, 196, 214, 222, 188, 205, 215, 207, 223, 231, 196, 212, 221, 188, 205, 214,
   182, 199, 209, 193, 208, 219, 171, 188, 198, 182, 199, 209, 187, 204, 213, 195, 212, 221, 205, 222, 231, 204, 220, 229, 210, 226, 235, 219, 231, 242, 222, 237, 247, 231, 246, 253, 234, 249, 252, 237, 251, 253, 241, 251, 254, 240, 254, 255, 235, 249, 254, 237, 250, 253, 235, 250, 253, 237, 253, 254, 235, 249, 254,
   231, 247, 254, 228, 243, 253, 220, 237, 249, 211, 231, 246, 213, 234, 251, 200, 225, 244, 208, 234, 251, 145, 174, 196,   2,   9,  37,   1,   9,  49,   3,  19,  61,   6,  30,  72,  14,  40,  85,  16,  40,  83,  14,  38,  82,  22,  46,  92,  21,  44,  93,  32,  61, 124,  72, 104, 169,  93, 127, 186, 142, 175, 219,
   166, 194, 230, 189, 212, 238, 196, 218, 240, 205, 224, 241, 216, 232, 249, 221, 238, 250, 227, 243, 252, 231, 246, 252, 233, 247, 253, 235, 249, 253, 235, 250, 253, 239, 253, 254, 243, 253, 253, 245, 254, 254, 240, 254, 254, 240, 254, 255, 236, 254, 253, 237, 252, 254, 232, 249, 254, 225, 243, 253, 215, 231, 243,
   202, 217, 225, 195, 204, 213, 186, 189, 195, 165, 165, 169, 149, 137, 140, 135, 121, 122, 131, 111, 109, 119,  91,  82, 110,  78,  68, 109,  75,  65, 105,  75,  66,  99,  64,  52, 102,  62,  44, 102,  59,  37, 107,  63,  39, 114,  69,  48, 113,  65,  42, 115,  67,  40, 117,  66,  38, 121,  69,  40, 127,  71,  39,
   129,  72,  37, 135,  75,  37, 139,  77,  36, 148,  80,  39, 155,  84,  34, 163,  88,  37, 166,  92,  42, 170,  94,  42, 176,  98,  41, 180, 100,  42, 182, 100,  41, 181,  97,  32, 181,  97,  33, 177,  93,  26, 172,  90,  23, 169,  87,  24, 165,  85,  22, 162,  82,  19, 155,  77,  12, 150,  74,  11, 146,  71,   8,
   144,  69,   8, 138,  66,   7, 137,  66,   8, 134,  64,   9, 132,  63,  10, 132,  63,   9, 132,  65,  10, 132,  64,  10, 137,  68,  13, 139,  70,  13, 143,  72,  18, 148,  73,  17, 154,  78,  25, 159,  83,  27, 162,  84,  29, 169,  89,  33, 175,  93,  33, 177,  95,  34, 176,  95,  34, 178,  97,  39, 178,  99,  39,
    99, 117, 129,  99, 116, 128,  88, 106, 117,  90, 108, 119,  85, 104, 115,  83, 103, 115,  79,  99, 110,  81, 106, 117,  80, 108, 117,  82, 111, 120,  82, 111, 122,  84, 114, 125,  83, 113, 124,  84, 114, 125,  83, 112, 123,  79, 109, 120,  76, 106, 117,  76, 106, 118,  79, 109, 120,  84, 114, 125,  87, 116, 127,
    94, 122, 133, 100, 127, 138, 105, 132, 144, 106, 134, 145, 109, 137, 148, 114, 140, 152, 119, 144, 156, 122, 147, 159, 138, 162, 172, 137, 159, 171, 138, 160, 171, 134, 157, 168, 131, 151, 164, 136, 156, 169, 132, 151, 164, 144, 161, 174, 164, 183, 193, 173, 190, 199, 191, 208, 217, 206, 223, 232, 211, 228, 237,
   220, 237, 245, 219, 235, 248, 213, 228, 240, 204, 221, 233, 192, 209, 221, 193, 211, 222, 194, 212, 223, 193, 210, 222, 203, 220, 231, 210, 226, 239, 209, 225, 237, 210, 226, 239, 194, 211, 224, 191, 210, 220, 205, 221, 231, 210, 226, 237, 214, 230, 242, 223, 238, 247, 227, 242, 250, 228, 242, 251, 233, 248, 255,
   232, 246, 253, 234, 249, 254, 237, 253, 254, 241, 254, 253, 241, 254, 254, 244, 255, 254, 248, 255, 254, 251, 255, 255, 253, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 254, 242, 253, 254, 206, 229, 253, 157, 182, 226,  64,  99, 160,  68, 117, 190, 115, 177, 229, 117, 202, 251,  94, 191, 249,
    80, 192, 249, 102, 196, 246,  67, 175, 233,  53, 171, 234,  32, 149, 207,  12, 137, 199,  12, 111, 174,  40,  38,  36, 135, 142, 132, 142, 164, 162, 133, 175, 184,  89, 164, 218, 119, 179, 225, 137, 201, 245, 152, 213, 248, 143, 206, 243,  31,  52,  82,   2,   5,  33,   1,   1,  24,   2,   2,  12,  30,  41,  70,
    36,  44,  72,  46,  52,  76,  56,  68,  91,  91, 105, 126, 117, 133, 150, 168, 185, 195, 214, 227, 237, 204, 220, 230, 210, 227, 235, 216, 229, 239, 193, 209, 218, 208, 224, 232, 209, 224, 232, 205, 223, 231, 198, 216, 224, 193, 210, 219, 180, 196, 208, 185, 201, 212, 188, 205, 214, 195, 212, 221, 197, 214, 224,
   209, 227, 235, 213, 230, 239, 217, 233, 241, 229, 242, 251, 230, 244, 251, 231, 245, 252, 240, 254, 254, 239, 251, 253, 241, 253, 254, 239, 251, 253, 237, 250, 253, 239, 252, 254, 236, 251, 253, 233, 248, 253, 234, 249, 254, 230, 247, 254, 221, 237, 251, 223, 241, 254, 216, 239, 253, 209, 236, 250, 135, 171, 197,
     2,  40,  70,   6,  17,  29,  27,  56,  84,  19,  49,  82,  24,  53,  92,  29,  61, 109,  28,  58, 105,  31,  59, 106,  27,  56, 101,  33,  64, 118,  35,  67, 130,  63,  97, 168,  76, 111, 178, 129, 165, 217, 157, 190, 231, 187, 212, 242, 202, 226, 248, 211, 231, 251, 220, 237, 253, 225, 241, 252, 233, 248, 253,
   236, 252, 253, 242, 255, 254, 243, 255, 253, 251, 255, 254, 252, 255, 255, 250, 255, 254, 247, 255, 255, 241, 255, 254, 240, 254, 254, 239, 255, 254, 236, 254, 254, 234, 253, 254, 231, 247, 253, 223, 239, 252, 219, 236, 247, 209, 225, 236, 188, 200, 208, 174, 181, 188, 153, 149, 155, 144, 134, 139, 131, 122, 125,
    95,  77,  73,  82,  59,  54,  81,  58,  53,  87,  65,  64,  86,  62,  55,  80,  51,  36,  76,  44,  29,  78,  44,  28,  82,  46,  30,  86,  49,  31,  85,  49,  27,  91,  51,  28,  93,  53,  28,  98,  54,  28, 102,  55,  27, 107,  58,  27, 112,  60,  29, 118,  62,  27, 127,  68,  28, 134,  72,  31, 140,  77,  33,
   146,  79,  36, 152,  82,  33, 156,  85,  34, 158,  85,  34, 160,  85,  32, 157,  83,  26, 156,  81,  24, 154,  80,  26, 148,  76,  26, 144,  73,  25, 138,  70,  19, 131,  65,  13, 127,  62,  13, 122,  58,  12, 119,  55,  12, 113,  54,   6, 112,  51,   6, 109,  51,   7, 108,  49,   7, 107,  47,   4, 107,  49,   6,
   109,  50,   6, 112,  52,   8, 114,  54,  10, 120,  60,  17, 124,  62,  15, 131,  65,  17, 138,  70,  19, 144,  73,  25, 152,  78,  29, 157,  81,  30, 160,  84,  31, 166,  87,  30, 165,  88,  35, 167,  91,  35, 126, 144, 156, 112, 129, 142,  98, 116, 129,  95, 113, 124,  88, 111, 121,  83, 105, 117,  77, 103, 113,
    74, 101, 111,  75, 103, 113,  78, 108, 116,  76, 105, 115,  73, 104, 115,  71, 103, 111,  74, 104, 114,  72, 103, 112,  75, 105, 115,  77, 107, 117,  79, 108, 120,  84, 114, 123,  90, 117, 128,  92, 120, 132, 100, 126, 138, 104, 131, 143, 107, 134, 146, 114, 140, 152, 117, 143, 154, 121, 146, 158, 136, 158, 169,
   143, 165, 176, 142, 162, 173, 159, 177, 188, 161, 180, 189, 156, 175, 185, 146, 164, 177, 150, 169, 182, 141, 159, 173, 142, 162, 175, 143, 161, 175, 170, 186, 197, 186, 203, 212, 193, 210, 220, 205, 222, 232, 210, 228, 236, 217, 233, 245, 216, 231, 242, 217, 235, 245, 211, 226, 239, 206, 223, 234, 199, 215, 228,
   192, 211, 223, 184, 202, 214, 197, 215, 226, 205, 222, 234, 207, 223, 235, 204, 221, 232, 195, 213, 224, 191, 208, 221, 198, 216, 226, 206, 223, 234, 213, 227, 240, 221, 237, 246, 228, 243, 252, 231, 245, 253, 236, 251, 254, 236, 250, 254, 235, 251, 254, 241, 254, 254, 240, 254, 254, 245, 254, 254, 247, 254, 254,
   248, 254, 254, 252, 255, 255, 254, 254, 254, 255, 255, 255, 255, 255, 255, 254, 255, 255, 255, 255, 255, 239, 254, 254, 194, 222, 252,  89, 126, 180,  51, 101, 179,  98, 169, 226,  97, 188, 248,  97, 189, 246, 123, 206, 249,  78, 173, 231,  48, 152, 215,  82, 175, 230,  55, 163, 216,  29, 137, 193,  15, 135, 198,
   118, 132, 127, 135, 157, 157, 145, 179, 185, 100, 171, 201,  91, 169, 225, 114, 181, 233, 142, 211, 248, 143, 207, 246, 138, 196, 237, 126, 168, 199,   2,  12,  39,   2,   2,  25,   1,   1,  13,  23,  35,  63,  43,  52,  79,  44,  54,  76,  53,  66,  87,  67,  82, 102, 113, 128, 147, 173, 188, 200, 188, 204, 214,
   205, 219, 232, 209, 225, 233, 207, 223, 231, 208, 226, 234, 222, 237, 245, 211, 227, 236, 212, 229, 238, 211, 227, 235, 193, 210, 218, 190, 208, 216, 192, 208, 218, 197, 213, 223, 207, 223, 232, 191, 207, 217, 205, 222, 230, 205, 221, 232, 219, 233, 242, 229, 244, 251, 230, 245, 251, 235, 248, 252, 236, 249, 255,
   240, 253, 254, 242, 253, 254, 243, 254, 253, 238, 250, 253, 237, 250, 252, 238, 253, 253, 237, 251, 254, 237, 253, 254, 230, 247, 254, 223, 238, 253, 227, 246, 254, 217, 242, 251, 136, 171, 194,  29,  97, 131,  44, 135, 173,  24,  49,  56,  76, 106, 121,  71, 129, 162,  58, 115, 160,  58, 108, 159,  55,  98, 154,
    41,  82, 134,  44,  83, 133,  46,  83, 135,  60, 105, 166,  51,  88, 164,  60,  96, 171, 120, 159, 217, 147, 186, 231, 173, 203, 239, 195, 218, 245, 203, 225, 249, 215, 234, 252, 226, 243, 251, 233, 250, 254, 239, 254, 254, 240, 254, 253, 244, 255, 255, 245, 255, 254, 245, 255, 254, 250, 255, 254, 246, 255, 255,
   246, 254, 254, 241, 254, 254, 236, 254, 253, 240, 254, 254, 236, 254, 254, 232, 249, 254, 227, 245, 253, 226, 242, 254, 218, 234, 246, 200, 218, 228, 178, 191, 201, 161, 171, 181, 142, 146, 157,  98,  92,  94,  80,  68,  70,  70,  59,  59,  67,  57,  57,  68,  56,  59,  60,  47,  47,  50,  31,  25,  50,  30,  21,
    50,  26,  16,  54,  27,  15,  54,  27,  14,  56,  28,  12,  63,  31,  15,  66,  34,  16,  69,  35,  17,  74,  36,  14,  80,  42,  18,  84,  42,  16,  91,  47,  18,  98,  51,  18, 106,  54,  19, 111,  57,  20, 119,  63,  25, 126,  67,  26, 127,  67,  25, 130,  68,  25, 134,  70,  29, 133,  69,  24, 131,  68,  21,
   129,  65,  22, 125,  64,  22, 121,  59,  17, 112,  54,  12, 108,  52,   9, 102,  48,   9,  97,  44,   6,  93,  41,   4,  87,  38,   2,  86,  36,   3,  83,  34,   3,  82,  31,   3,  84,  32,   4,  84,  34,   4,  84,  34,   3,  86,  36,   4,  90,  40,   5,  95,  42,   7, 100,  46,  11, 109,  51,  12, 115,  57,  14,
   122,  62,  19, 130,  66,  23, 136,  67,  22, 141,  72,  26, 147,  76,  31, 148,  79,  34, 148,  80,  32, 113, 132, 142, 111, 131, 143, 105, 126, 138,  91, 114, 125,  84, 110, 121,  76, 103, 114,  75, 101, 113,  73, 101, 111,  69,  98, 107,  69,  98, 107,  66,  96, 104,  67,  96, 105,  67,  97, 106,  69,  99, 108,
    73, 102, 111,  77, 107, 116,  79, 109, 118,  83, 111, 122,  84, 113, 122,  91, 119, 130,  97, 125, 134, 106, 131, 143, 112, 138, 150, 120, 144, 155, 128, 152, 162, 142, 163, 175, 140, 162, 173, 147, 168, 179, 152, 171, 181, 164, 183, 194, 161, 178, 190, 171, 188, 199, 169, 187, 196, 169, 187, 199, 163, 181, 191,
   153, 170, 183, 152, 170, 182, 159, 176, 189, 156, 174, 185, 175, 193, 203, 195, 213, 220, 202, 219, 228, 209, 225, 235, 217, 232, 241, 216, 231, 243, 219, 237, 245, 219, 234, 245, 209, 226, 238, 202, 219, 231, 204, 222, 233, 197, 214, 226, 198, 216, 227, 200, 218, 229, 197, 215, 226, 194, 212, 222, 196, 214, 223,
   200, 216, 228, 202, 219, 230, 201, 218, 228, 207, 223, 235, 213, 228, 241, 220, 235, 245, 223, 238, 248, 229, 245, 251, 233, 247, 253, 231, 247, 254, 235, 250, 253, 241, 254, 254, 242, 254, 254, 245, 254, 253, 243, 254, 254, 246, 255, 254, 245, 254, 254, 249, 255, 255, 250, 255, 255, 255, 255, 255, 254, 255, 255,
   254, 255, 254, 236, 254, 254, 185, 219, 249,  82, 130, 183,  95, 160, 212, 119, 190, 239, 128, 200, 247, 136, 209, 249, 127, 200, 244,  93, 178, 229,  72, 176, 235,  62, 152, 209,  45, 158, 214,  48, 150, 202, 140, 162, 156, 143, 168, 169, 136, 174, 180,  88, 172, 215,  77, 174, 237, 104, 183, 236, 145, 214, 251,
   151, 214, 249, 131, 191, 234, 136, 188, 224,  43,  59,  86,   2,   2,  23,   2,   3,  17,  16,  25,  55,  45,  54,  80,  44,  54,  76,  54,  65,  87,  60,  75,  94,  92, 107, 126, 158, 175, 188, 177, 193, 205, 195, 211, 223, 214, 229, 238, 207, 224, 232, 220, 236, 244, 217, 232, 242, 216, 231, 239, 213, 229, 239,
   218, 231, 241, 195, 212, 220, 195, 212, 220, 198, 214, 224, 199, 216, 225, 193, 210, 220, 203, 219, 227, 204, 221, 230, 207, 224, 233, 222, 234, 244, 234, 248, 252, 236, 250, 253, 231, 245, 251, 234, 247, 253, 240, 253, 253, 239, 253, 254, 246, 254, 253, 240, 252, 254, 239, 254, 254, 240, 252, 254, 238, 253, 255,
   234, 251, 253, 233, 250, 255, 223, 239, 253, 230, 249, 253, 211, 242, 248,  82, 155, 189,  70, 159, 202,  53, 159, 199,  34,  81, 102, 196, 210, 220, 100, 180, 205,  37, 125, 178,  55, 132, 191,  46, 116, 180,  61, 131, 194,  50, 107, 169,  53, 107, 164,  78, 136, 191,  59, 104, 180,  52,  88, 172, 112, 153, 217,
   142, 183, 230, 171, 205, 243, 194, 220, 248, 203, 225, 250, 217, 236, 253, 228, 243, 254, 233, 250, 254, 237, 253, 255, 243, 255, 254, 246, 255, 254, 244, 255, 254, 240, 255, 254, 242, 254, 254, 246, 255, 255, 240, 254, 254, 238, 253, 254, 246, 255, 255, 240, 254, 254, 238, 255, 254, 237, 254, 254, 234, 252, 254,
   228, 246, 254, 220, 237, 250, 208, 226, 238, 194, 211, 221, 170, 182, 191, 145, 153, 163, 115, 117, 125,  90,  93, 100,  83,  83,  92,  76,  78,  85,  63,  61,  67,  39,  33,  37,  21,  14,  15,  15,   8,   8,  14,   4,   5,  17,   7,   7,  21,   8,   7,  22,   9,   4,  29,   9,   5,  33,  11,   6,  35,  13,   7,
    42,  15,   8,  47,  20,   8,  54,  24,   8,  62,  28,   6,  70,  33,  10,  77,  39,  13,  84,  43,  15,  89,  44,  13,  96,  49,  15,  99,  50,  16, 102,  53,  16, 105,  55,  18, 105,  52,  15, 105,  51,  15, 103,  49,  14, 100,  47,  14,  93,  44,  12,  88,  41,  10,  84,  38,   8,  79,  34,   7,  73,  30,   4,
    68,  25,   2,  64,  23,   2,  59,  20,   1,  57,  16,   1,  57,  15,   2,  57,  15,   2,  56,  14,   1,  59,  17,   2,  62,  20,   2,  67,  23,   3,  71,  27,   4,  77,  32,   6,  82,  36,   4,  92,  42,   8, 100,  46,  11, 107,  52,  15, 111,  54,  18, 118,  61,  25, 125,  64,  28, 127,  65,  28, 128,  69,  31,
    82, 105, 115,  79, 103, 114,  79, 105, 115,  81, 107, 117,  81, 107, 118,  74, 100, 113,  68,  97, 106,  64,  93, 102,  63,  92, 100,  62,  90,  99,  61,  90,  99,  61,  89,  98,  61,  90,  99,  63,  91,  97,  68,  94, 104,  73, 100, 110,  74, 100, 110,  78, 106, 116,  81, 108, 117,  85, 112, 122, 108, 132, 141,
   119, 141, 153, 130, 151, 161, 137, 159, 169, 146, 165, 176, 146, 165, 177, 155, 174, 185, 153, 171, 182, 165, 183, 192, 167, 184, 194, 172, 189, 199, 179, 197, 204, 179, 195, 206, 179, 196, 207, 183, 202, 210, 174, 191, 202, 169, 188, 198, 176, 193, 204, 174, 191, 200, 182, 199, 209, 191, 208, 217, 195, 211, 221,
   197, 215, 224, 210, 227, 236, 208, 225, 236, 212, 229, 239, 220, 236, 244, 226, 241, 251, 215, 232, 244, 210, 226, 238, 204, 221, 233, 204, 222, 233, 195, 213, 224, 187, 204, 216, 186, 204, 216, 189, 207, 219, 193, 211, 221, 206, 225, 233, 204, 220, 233, 204, 222, 232, 212, 228, 240, 218, 234, 246, 220, 236, 248,
   224, 240, 250, 230, 245, 254, 233, 248, 254, 229, 245, 253, 233, 247, 254, 237, 251, 254, 245, 253, 253, 244, 254, 253, 245, 254, 255, 241, 254, 253, 239, 254, 253, 244, 254, 254, 255, 255, 255, 254, 255, 255, 254, 255, 255, 249, 254, 255, 225, 251, 253, 170, 210, 240,  72, 126, 186,  91, 152, 206, 108, 182, 235,
   126, 199, 244, 112, 192, 238,  71, 170, 227,  66, 171, 228,  81, 175, 217,  57, 164, 220,  63, 147, 193, 140, 174, 170, 140, 180, 183, 143, 193, 205, 104, 173, 216,  73, 169, 225,  94, 176, 225, 130, 200, 245, 144, 204, 244, 140, 196, 237, 112, 170, 214,  47,  69, 108,   1,   1,  17,   3,   8,  29,   8,  18,  47,
    30,  37,  63,  46,  55,  78,  54,  64,  84,  61,  74,  94,  74,  88, 109, 149, 165, 183, 173, 188, 203, 192, 209, 220, 209, 225, 235, 219, 235, 244, 214, 230, 239, 226, 239, 249, 228, 243, 250, 230, 243, 251, 216, 229, 239, 212, 228, 236, 203, 219, 227, 203, 219, 228, 210, 226, 235, 197, 212, 223, 207, 224, 231,
   207, 223, 232, 216, 232, 241, 224, 238, 246, 235, 248, 254, 240, 252, 254, 231, 242, 251, 234, 248, 252, 241, 253, 253, 239, 253, 254, 252, 255, 254, 247, 254, 255, 238, 253, 255, 245, 254, 253, 237, 253, 252, 236, 254, 254, 232, 249, 252, 231, 249, 255, 233, 254, 253, 177, 217, 237,  95, 173, 209,  80, 171, 212,
    37, 143, 187,  26,  87, 117, 123, 135, 153,  19, 130, 170,   4, 130, 190,  18, 127, 192,  24, 129, 201,  29, 128, 202,  25, 123, 195,  40, 110, 173,  68, 133, 192,  81, 134, 199,  35,  72, 159, 101, 145, 218, 149, 192, 241, 170, 204, 245, 192, 219, 250, 206, 228, 252, 223, 241, 254, 228, 245, 254, 233, 249, 253,
   234, 254, 254, 243, 254, 254, 241, 255, 254, 243, 254, 254, 250, 254, 254, 249, 255, 254, 248, 255, 254, 247, 254, 254, 252, 254, 255, 247, 254, 254, 241, 254, 254, 238, 254, 253, 241, 255, 254, 236, 252, 255, 226, 243, 253, 225, 241, 252, 218, 234, 247, 205, 222, 235, 186, 205, 215, 176, 194, 205, 141, 153, 166,
   121, 133, 147, 108, 119, 134,  85,  98, 109,  59,  61,  71,  29,  28,  33,   5,   5,   6,   1,   1,   1,   0,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   1,   0,   1,   1,   0,   1,   3,   1,   2,   5,   1,   1,  11,   0,   2,  15,   2,   2,  25,   7,   4,  35,  11,   4,  46,  16,   3,  53,  21,   4,
    64,  27,   6,  70,  31,   7,  75,  33,   8,  78,  36,   8,  80,  38,  10,  82,  38,  11,  78,  37,  10,  76,  34,  10,  73,  32,   6,  69,  28,   5,  63,  24,   3,  56,  18,   1,  48,  13,   3,  44,  12,   4,  34,   7,   1,  27,   5,   2,  24,   3,   2,  20,   1,   1,  17,   1,   2,  17,   1,   1,  17,   0,   1,
    21,   1,   2,  23,   2,   1,  32,   3,   1,  43,   8,   2,  51,  13,   2,  60,  18,   1,  70,  26,   4,  78,  31,   4,  83,  35,   7,  89,  42,  14,  96,  47,  17, 101,  48,  18, 103,  52,  21, 106,  56,  24,  78, 104, 115,  72,  98, 109,  71,  98, 108,  69,  96, 107,  66,  94, 103,  61,  89,  99,  58,  87,  96,
    55,  82,  91,  55,  81,  90,  52,  79,  87,  50,  75,  83,  49,  74,  83,  48,  73,  80,  56,  78,  86,  63,  86,  93,  70,  92, 101,  84, 109, 118,  88, 113, 123,  92, 116, 126,  97, 120, 130, 106, 128, 140, 130, 151, 162, 143, 162, 173, 151, 170, 180, 146, 164, 175, 157, 175, 186, 156, 175, 185, 159, 176, 186,
   169, 186, 195, 169, 187, 195, 176, 193, 203, 175, 192, 201, 181, 198, 208, 187, 204, 212, 183, 200, 210, 179, 199, 207, 182, 200, 210, 176, 193, 204, 171, 188, 200, 184, 201, 212, 195, 212, 221, 199, 216, 225, 203, 220, 229, 206, 223, 234, 213, 229, 241, 209, 226, 237, 202, 220, 232, 205, 222, 232, 206, 223, 236,
   207, 223, 235, 206, 222, 234, 201, 220, 230, 201, 219, 230, 195, 212, 224, 184, 202, 214, 186, 203, 214, 196, 214, 225, 202, 220, 228, 213, 229, 240, 212, 229, 240, 207, 224, 236, 222, 238, 248, 221, 237, 248, 222, 236, 248, 226, 241, 250, 230, 246, 253, 231, 245, 253, 233, 247, 254, 232, 246, 254, 235, 248, 255,
   251, 255, 254, 243, 255, 253, 244, 255, 254, 241, 254, 254, 239, 255, 254, 248, 254, 254, 251, 255, 254, 250, 254, 254, 252, 254, 254, 246, 255, 254, 223, 255, 255, 150, 192, 229,  74, 126, 186,  90, 155, 211, 108, 182, 232,  94, 180, 231,  72, 164, 223,  83, 172, 226,  80, 165, 212,  52, 151, 208,  83, 157, 201,
   110, 167, 190, 141, 190, 206, 125, 186, 216, 130, 201, 243, 101, 180, 226, 111, 186, 231, 123, 193, 235, 157, 208, 244, 116, 171, 214,  97, 145, 195,  45,  67, 108,   3,   3,  19,  10,  21,  51,  12,  21,  50,  20,  28,  54,  39,  45,  69,  47,  56,  76,  63,  74,  94,  76,  88, 111, 105, 118, 139, 149, 163, 182,
   181, 198, 211, 195, 212, 222, 208, 224, 235, 219, 234, 242, 232, 245, 251, 224, 239, 248, 226, 240, 247, 225, 239, 249, 200, 218, 226, 210, 225, 234, 212, 228, 237, 212, 229, 237, 215, 230, 239, 215, 231, 241, 214, 229, 238, 223, 239, 247, 223, 239, 246, 233, 247, 253, 236, 250, 253, 236, 250, 254, 244, 254, 253,
   243, 253, 253, 237, 250, 251, 254, 255, 255, 253, 254, 254, 243, 254, 254, 245, 254, 252, 241, 253, 253, 241, 254, 254, 234, 253, 254, 231, 251, 254, 237, 255, 254, 169, 211, 228,  89, 166, 204,  71, 159, 202,  41, 142, 191,  12,  84, 117,   0,   0,   0,   5,  99, 149,   3, 129, 193,  15, 133, 199,  31, 141, 208,
    33, 142, 216,  28, 142, 216,  33, 129, 199,  32, 107, 175, 107, 170, 233,  80, 121, 207, 102, 149, 224, 157, 196, 247, 184, 219, 252, 201, 228, 253, 210, 232, 254, 220, 239, 254, 225, 242, 254, 230, 246, 254, 238, 254, 254, 242, 255, 255, 245, 255, 254, 252, 255, 255, 255, 255, 255, 253, 255, 255, 254, 255, 255,
   254, 255, 255, 250, 255, 254, 243, 254, 254, 243, 255, 255, 244, 255, 255, 240, 255, 254, 235, 253, 254, 231, 248, 254, 231, 248, 255, 224, 240, 252, 214, 232, 244, 210, 226, 242, 195, 213, 224, 173, 189, 201, 157, 173, 185, 136, 151, 165,  95, 110, 122,  79,  92, 105,  53,  60,  67,  24,  27,  34,  10,  12,  15,
     3,   4,   4,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   1,   1,   0,   1,   1,   1,   1,   1,   3,   0,   1,   8,   1,   1,  18,   3,   2,  28,   6,   3,  35,   8,   2,  43,  12,   2,  49,  16,   4,  49,  15,   2,  51,  17,   2,  50,  16,   4,
    46,  14,   3,  41,  13,   4,  37,   8,   3,  29,   6,   2,  20,   3,   2,  13,   0,   2,   8,   1,   1,   5,   0,   1,   1,   0,   0,   1,   0,   0,   0,   1,   1,   0,   0,   0,   0,   1,   1,   0,   1,   1,   0,   0,   0,   0,   0,   0,   3,   1,   1,   6,   1,   1,  14,   0,   1,  27,   3,   1,  40,   7,   2,
    49,  14,   2,  60,  19,   2,  66,  25,   3,  74,  30,   8,  80,  34,  10,  83,  38,  13,  85,  43,  16,  74,  99, 111,  67,  93, 105,  60,  87,  98,  54,  81,  91,  50,  76,  85,  49,  75,  84,  47,  72,  81,  44,  68,  76,  43,  64,  72,  40,  60,  68,  38,  57,  65,  33,  51,  58,  36,  54,  61,  51,  69,  76,
    73,  92, 100,  86, 105, 113,  93, 115, 124, 112, 131, 142, 121, 140, 151, 121, 140, 152, 118, 139, 150, 131, 151, 162, 133, 151, 164, 137, 155, 166, 156, 174, 183, 156, 174, 184, 159, 178, 187, 163, 180, 189, 174, 191, 199, 177, 195, 203, 184, 201, 208, 184, 202, 210, 188, 205, 214, 181, 199, 208, 186, 204, 212,
   185, 203, 212, 182, 200, 210, 175, 193, 204, 170, 188, 200, 171, 188, 200, 182, 200, 208, 196, 214, 222, 198, 216, 224, 193, 213, 221, 200, 217, 226, 201, 219, 228, 201, 220, 231, 189, 208, 220, 186, 204, 216, 190, 209, 219, 193, 211, 221, 196, 215, 224, 193, 211, 222, 192, 210, 220, 190, 207, 219, 195, 212, 222,
   196, 212, 225, 204, 221, 231, 212, 228, 239, 217, 233, 245, 221, 237, 246, 226, 241, 251, 218, 234, 246, 222, 238, 248, 234, 249, 254, 231, 245, 253, 235, 251, 254, 237, 251, 254, 237, 251, 254, 235, 249, 253, 239, 253, 254, 243, 254, 254, 236, 253, 253, 242, 254, 254, 242, 254, 254, 233, 252, 253, 247, 254, 254,
   243, 255, 254, 238, 255, 254, 225, 253, 253, 218, 252, 254, 207, 245, 255, 141, 186, 226,  57, 109, 173,  58, 118, 186,  78, 154, 213,  91, 178, 230, 116, 197, 243, 111, 187, 232,  86, 169, 215,  87, 163, 211,  85, 162, 210, 123, 182, 215, 134, 194, 230, 143, 207, 245, 127, 194, 233, 128, 195, 236, 156, 212, 245,
   113, 159, 208,  76, 117, 175,  65,  99, 155,  33,  48,  73,  21,  25,  45,  13,  23,  51,   9,  17,  47,  24,  30,  55,  34,  41,  63,  48,  56,  76,  60,  71,  91,  78,  91, 113,  89, 101, 125, 118, 133, 157, 153, 169, 186, 186, 202, 215, 214, 229, 241, 223, 238, 245, 236, 249, 252, 228, 243, 251, 219, 231, 243,
   220, 235, 245, 219, 235, 243, 217, 232, 240, 223, 235, 245, 216, 229, 239, 216, 230, 240, 223, 238, 245, 226, 241, 249, 226, 240, 247, 234, 247, 253, 233, 246, 253, 237, 252, 253, 238, 252, 254, 239, 253, 253, 248, 254, 254, 243, 253, 253, 250, 254, 254, 254, 254, 255, 252, 255, 254, 249, 255, 254, 250, 255, 254,
   244, 254, 255, 236, 253, 253, 234, 254, 254, 236, 254, 253, 175, 210, 231,  73, 145, 189,  72, 157, 200,  47, 144, 188,  19, 116, 157,   2,   0,   2,   6,  95, 142,   2, 121, 186,   3, 122, 192,  11, 129, 201,  26, 138, 213,  17, 134, 210,  52, 153, 221,  44, 132, 201, 120, 185, 241, 144, 182, 244, 140, 182, 247,
   174, 214, 252, 204, 237, 254, 215, 241, 254, 219, 243, 253, 226, 245, 254, 227, 245, 254, 230, 249, 254, 238, 254, 254, 248, 254, 254, 252, 255, 254, 253, 255, 255, 253, 255, 255, 255, 255, 255, 253, 255, 255, 248, 255, 254, 239, 254, 253, 238, 254, 254, 241, 254, 254, 248, 255, 254, 241, 254, 253, 235, 255, 254,
   235, 254, 255, 230, 247, 253, 225, 242, 253, 222, 238, 251, 218, 235, 249, 205, 223, 236, 193, 210, 222, 170, 187, 199, 136, 153, 166, 124, 141, 156, 105, 119, 132,  76,  87,  96,  55,  62,  71,  36,  42,  48,  14,  17,  22,   4,   7,   9,   2,   3,   4,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,
     1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   0,   0,   1,   1,   1,   0,   1,   1,   1,   0,   1,   4,   1,   2,   8,   0,   1,  12,   2,   2,  13,   1,   2,  15,   1,   2,  13,   1,   2,  12,   0,   1,   7,   1,   2,   5,   1,   2,   2,   1,   1,   0,   0,   0,   0,   1,   1,   1,   1,   1,
     0,   1,   0,   1,   1,   1,   2,   1,   1,   1,   1,   1,   1,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   2,   1,   1,   7,   1,   2,  17,   1,   1,  29,   4,   2,  38,   7,   2,  47,  12,   2,  52,  18,   3,  60,  22,   3,  62,  25,   3,
    65,  91, 103,  58,  83,  95,  50,  74,  84,  43,  68,  75,  38,  61,  68,  33,  57,  63,  31,  52,  58,  27,  47,  54,  24,  42,  49,  19,  37,  45,  17,  35,  43,  17,  34,  40,  36,  52,  59,  57,  74,  81,  75,  93, 101, 102, 120, 127, 126, 143, 153, 134, 152, 162, 130, 149, 160, 133, 150, 162, 141, 159, 170,
   137, 155, 166, 138, 156, 168, 144, 162, 172, 152, 171, 180, 162, 180, 188, 165, 184, 192, 166, 184, 192, 173, 190, 199, 178, 195, 204, 178, 196, 205, 187, 205, 213, 189, 206, 216, 193, 211, 218, 190, 207, 216, 194, 211, 220, 188, 204, 213, 186, 204, 215, 180, 198, 209, 174, 191, 202, 173, 191, 200, 188, 206, 216,
   195, 212, 221, 202, 220, 228, 204, 220, 232, 212, 228, 241, 207, 224, 234, 201, 219, 230, 195, 212, 225, 197, 216, 225, 192, 210, 221, 187, 205, 216, 185, 203, 214, 177, 195, 207, 173, 191, 203, 178, 196, 207, 190, 208, 218, 197, 214, 224, 209, 225, 235, 211, 227, 239, 213, 229, 240, 219, 234, 246, 220, 236, 249,
   221, 238, 246, 223, 237, 249, 227, 242, 251, 230, 245, 253, 233, 249, 253, 239, 252, 254, 241, 254, 253, 238, 252, 255, 237, 252, 254, 235, 252, 252, 239, 253, 254, 239, 253, 253, 238, 253, 254, 243, 254, 253, 244, 254, 254, 230, 253, 254, 228, 254, 254, 224, 252, 254, 214, 249, 253, 206, 247, 254, 168, 212, 246,
    74, 121, 181,  40,  93, 158,  86, 159, 207, 115, 184, 231,  95, 171, 216,  95, 171, 218,  95, 162, 207,  84, 163, 212, 144, 193, 216, 137, 195, 230, 135, 194, 230, 131, 189, 230, 141, 200, 234, 118, 170, 215,  68, 109, 169,  92, 137, 182,  70,  99, 137,  17,  23,  42,  70,  75,  99,  32,  37,  66,   8,  16,  45,
    30,  36,  60,  40,  47,  69,  55,  65,  85,  60,  72,  91,  79,  92, 114,  91, 103, 127, 100, 114, 140, 133, 149, 171, 150, 167, 183, 201, 216, 228, 227, 243, 250, 223, 238, 246, 224, 240, 247, 231, 245, 252, 224, 238, 247, 225, 240, 247, 218, 233, 242, 224, 236, 244, 223, 235, 243, 229, 244, 251, 231, 243, 252,
   230, 242, 250, 230, 243, 251, 236, 249, 253, 234, 249, 252, 236, 248, 252, 238, 253, 254, 248, 254, 254, 253, 255, 255, 246, 254, 254, 249, 254, 254, 253, 254, 254, 253, 255, 255, 254, 255, 255, 246, 255, 255, 247, 255, 254, 242, 254, 254, 233, 253, 254, 236, 254, 253, 207, 236, 249,  98, 161, 205,  78, 158, 205,
    53, 149, 196,  39, 146, 189,   3,  25,  34,   8, 112, 165,   1, 114, 177,   7, 134, 203,  13, 133, 202,  20, 139, 213,  35, 153, 221,  47, 139, 203,  67, 152, 217, 134, 198, 253, 159, 196, 253, 167, 205, 253, 188, 227, 253, 217, 249, 254, 228, 251, 253, 226, 250, 253, 232, 255, 255, 239, 254, 255, 236, 254, 253,
   240, 255, 254, 245, 254, 254, 249, 255, 254, 243, 255, 254, 247, 255, 254, 253, 255, 255, 250, 254, 254, 242, 254, 254, 240, 255, 254, 239, 254, 253, 241, 254, 253, 246, 254, 255, 245, 254, 255, 240, 254, 253, 235, 252, 253, 233, 249, 255, 229, 246, 253, 227, 242, 254, 222, 238, 251, 215, 232, 245, 200, 218, 229,
   171, 189, 200, 148, 165, 178, 136, 152, 166,  96, 112, 124,  71,  79,  90,  50,  58,  68,  43,  49,  58,  20,  25,  30,  11,  16,  21,   4,   6,  10,   1,   2,   2,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,
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     7,  25,  32,   4,  21,  28,   7,  25,  32,  11,  28,  35,  24,  39,  46,  48,  60,  67,  71,  86,  93,  95, 111, 122, 107, 124, 132, 115, 133, 144, 134, 151, 162, 135, 153, 164, 143, 161, 170, 143, 160, 170, 143, 161, 171, 150, 169, 179, 140, 157, 169, 135, 154, 166, 152, 169, 179, 171, 189, 197, 173, 190, 199,
   174, 191, 199, 176, 193, 202, 187, 204, 213, 192, 209, 217, 195, 212, 221, 192, 208, 218, 199, 216, 224, 200, 217, 226, 200, 216, 227, 191, 208, 219, 191, 209, 220, 192, 211, 219, 190, 208, 219, 183, 201, 212, 186, 204, 215, 195, 213, 222, 197, 216, 224, 204, 222, 232, 211, 227, 238, 206, 223, 235, 198, 216, 227,
   189, 206, 218, 188, 206, 217, 187, 204, 216, 184, 201, 213, 175, 193, 205, 171, 188, 201, 181, 199, 209, 181, 199, 210, 193, 211, 222, 195, 212, 223, 205, 221, 233, 208, 225, 236, 213, 229, 240, 220, 235, 247, 220, 234, 248, 226, 241, 250, 223, 238, 250, 226, 242, 250, 229, 243, 252, 236, 251, 254, 238, 253, 254,
   237, 251, 255, 236, 251, 254, 242, 255, 253, 241, 254, 253, 238, 251, 254, 237, 252, 253, 236, 252, 254, 232, 247, 253, 234, 253, 253, 227, 247, 254, 225, 251, 254, 214, 246, 253, 212, 249, 253, 204, 242, 254, 187, 230, 255,  98, 148, 199,  48,  95, 157,  95, 156, 201,  98, 163, 204,  87, 158, 202, 101, 159, 200,
    90, 155, 195, 130, 180, 191, 130, 182, 214, 118, 171, 205, 117, 173, 211, 106, 155, 198,  72, 116, 170,  84, 127, 178,  72, 109, 147,  43,  60,  89,  75,  85, 109,  69,  77, 104,  31,  38,  67,  23,  29,  55,  51,  61,  83,  62,  74,  96,  64,  77,  98,  65,  78,  98,  80,  93, 115,  89, 101, 125,  99, 110, 136,
   125, 139, 162, 158, 172, 190, 185, 200, 213, 221, 235, 245, 224, 240, 249, 228, 241, 248, 237, 250, 253, 228, 242, 249, 230, 243, 250, 224, 238, 247, 229, 243, 250, 230, 243, 251, 231, 244, 251, 230, 245, 252, 232, 245, 252, 233, 247, 252, 235, 248, 253, 237, 252, 253, 247, 254, 254, 250, 255, 255, 250, 255, 255,
   247, 254, 254, 249, 254, 254, 250, 255, 254, 252, 255, 255, 255, 255, 255, 255, 255, 255, 251, 255, 254, 253, 254, 254, 248, 255, 254, 238, 254, 254, 240, 254, 254, 223, 247, 253, 130, 184, 224,  94, 171, 217,  66, 161, 209,  40, 152, 206,  13, 100, 144,   7, 128, 190,   4, 118, 185,  11, 128, 197,  28, 136, 202,
    55, 158, 221,  54, 156, 216,  74, 151, 203,  76, 156, 216, 133, 198, 252, 159, 195, 252, 169, 205, 253, 193, 232, 254, 241, 255, 253, 252, 254, 254, 251, 255, 254, 242, 254, 254, 240, 254, 253, 238, 254, 253, 248, 255, 254, 246, 255, 255, 244, 255, 253, 245, 255, 255, 249, 254, 253, 254, 255, 255, 252, 255, 255,
   246, 255, 254, 245, 255, 255, 245, 254, 254, 244, 255, 254, 248, 254, 254, 241, 254, 253, 236, 254, 253, 234, 252, 253, 236, 252, 254, 235, 248, 254, 230, 246, 254, 221, 238, 251, 214, 231, 243, 206, 223, 234, 188, 206, 217, 174, 192, 205, 146, 163, 173, 107, 121, 133,  90,  99, 113,  71,  81,  92,  55,  64,  73,
    30,  37,  42,  18,  22,  29,   4,   5,  10,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   1,   0,   0,   0,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
     1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,
     0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   1,   1,   0,   1,   1,   1,   1,   1,   4,   1,   2,  53,  78,  92,  45,  69,  80,  36,  57,  67,  27,  46,  53,  16,  33,  42,   7,  25,  33,   7,  24,  32,   7,  25,  32,  11,  29,  35,  20,  36,  43,  34,  46,  54,  46,  58,  65,  66,  78,  86,  85, 101, 108,
   102, 117, 127, 120, 137, 147, 132, 149, 159, 144, 161, 171, 143, 160, 169, 147, 164, 174, 151, 169, 178, 156, 174, 182, 155, 173, 183, 152, 169, 181, 142, 160, 171, 140, 157, 169, 160, 177, 189, 162, 179, 189, 167, 184, 193, 170, 187, 196, 174, 191, 200, 183, 200, 209, 188, 206, 214, 194, 211, 220, 195, 212, 221,
   201, 218, 227, 201, 219, 227, 204, 221, 230, 205, 221, 233, 200, 218, 227, 197, 214, 225, 198, 214, 224, 202, 220, 228, 210, 226, 237, 204, 220, 232, 199, 218, 226, 202, 220, 230, 207, 225, 234, 206, 224, 234, 199, 217, 228, 193, 211, 222, 184, 201, 214, 184, 202, 213, 187, 205, 216, 180, 198, 210, 174, 191, 203,
   185, 203, 214, 193, 210, 222, 185, 203, 214, 193, 211, 222, 196, 212, 224, 204, 221, 231, 211, 228, 239, 221, 236, 248, 217, 233, 244, 216, 232, 244, 220, 236, 248, 223, 238, 249, 230, 244, 253, 233, 249, 253, 230, 245, 253, 238, 250, 254, 237, 251, 254, 243, 253, 254, 246, 254, 254, 246, 254, 254, 235, 254, 254,
   230, 245, 253, 227, 245, 253, 227, 245, 254, 221, 243, 254, 221, 246, 253, 219, 251, 254, 207, 240, 252, 196, 236, 253, 197, 237, 255, 149, 193, 229, 109, 155, 199, 100, 146, 182,  96, 149, 190, 104, 154, 184,  95, 146, 187,  98, 135, 159,  88, 137, 178,  99, 143, 174,  92, 140, 180,  59, 100, 156,  81, 122, 165,
    63,  96, 134,  51,  74, 101,  87,  99, 126, 104, 115, 144,  90,  99, 126,  36,  44,  72,  55,  63,  89,  94, 106, 132,  88,  99, 121,  86,  98, 119,  87,  99, 121,  82,  95, 118,  88, 100, 124, 112, 124, 147, 120, 131, 155, 143, 157, 176, 168, 183, 199, 216, 231, 240, 228, 243, 250, 231, 246, 252, 242, 254, 254,
   235, 246, 253, 238, 251, 254, 228, 244, 250, 237, 250, 253, 235, 250, 252, 233, 245, 253, 226, 240, 247, 236, 248, 254, 230, 242, 250, 236, 248, 253, 243, 254, 254, 249, 254, 254, 249, 254, 254, 248, 255, 255, 248, 254, 254, 243, 254, 253, 239, 252, 253, 247, 255, 255, 254, 255, 255, 254, 255, 255, 253, 255, 255,
   255, 255, 255, 252, 255, 254, 248, 255, 254, 239, 254, 253, 246, 255, 254, 161, 205, 235, 104, 177, 223,  85, 170, 217,  41, 151, 207,  10, 131, 193,  12, 139, 205,  15, 133, 201,  23, 136, 203,  48, 146, 211,  86, 172, 223,  77, 166, 218,  67, 154, 214,  85, 164, 224, 132, 190, 245, 156, 192, 251, 167, 204, 254,
   180, 218, 250, 252, 254, 253, 253, 254, 254, 254, 255, 255, 255, 255, 255, 254, 255, 255, 250, 255, 254, 252, 254, 254, 251, 255, 254, 251, 255, 254, 248, 255, 254, 250, 254, 254, 252, 255, 255, 252, 254, 254, 250, 255, 254, 250, 254, 254, 252, 255, 255, 247, 255, 254, 246, 255, 255, 236, 253, 252, 239, 255, 254,
   238, 255, 254, 244, 255, 254, 235, 254, 254, 231, 248, 255, 225, 241, 253, 217, 233, 246, 208, 225, 236, 199, 217, 228, 193, 209, 221, 174, 192, 202, 145, 161, 172, 121, 134, 148,  97, 111, 122,  83,  96, 105,  60,  70,  79,  35,  39,  46,  14,  19,  25,   5,   6,   9,   3,   5,   6,   4,   3,   5,   3,   5,   8,
     4,   7,   9,   2,   2,   4,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    63,  89, 106,  53,  78,  94,  43,  65,  77,  37,  57,  69,  33,  50,  62,  30,  48,  58,  30,  47,  59,  38,  53,  62,  40,  55,  63,  44,  59,  68,  54,  69,  78,  68,  80,  89,  77,  93, 102,  99, 116, 125, 113, 128, 140, 125, 143, 152, 135, 151, 161, 148, 166, 173, 146, 163, 173, 148, 165, 174, 153, 170, 180,
   156, 173, 182, 152, 168, 179, 159, 176, 187, 159, 176, 185, 156, 174, 183, 160, 177, 187, 166, 184, 193, 175, 191, 201, 175, 193, 201, 179, 196, 204, 188, 205, 214, 195, 213, 221, 196, 213, 222, 201, 218, 227, 200, 218, 225, 203, 220, 230, 200, 217, 228, 194, 213, 224, 194, 212, 222, 190, 208, 218, 197, 215, 224,
   196, 214, 224, 195, 213, 223, 199, 217, 228, 193, 211, 222, 203, 220, 231, 207, 224, 235, 202, 220, 230, 198, 215, 226, 191, 209, 219, 185, 202, 215, 175, 191, 204, 169, 186, 199, 174, 191, 204, 177, 193, 206, 180, 198, 209, 189, 205, 216, 193, 210, 220, 194, 212, 223, 194, 212, 223, 205, 221, 233, 207, 223, 235,
   210, 227, 239, 216, 232, 244, 215, 231, 244, 216, 232, 244, 223, 239, 248, 227, 242, 252, 232, 247, 253, 231, 246, 253, 231, 247, 253, 236, 251, 254, 232, 248, 253, 240, 252, 254, 239, 253, 254, 239, 252, 254, 235, 250, 254, 223, 240, 250, 228, 246, 254, 226, 245, 253, 220, 242, 253, 218, 242, 253, 215, 246, 253,
   217, 250, 254, 210, 245, 252, 212, 251, 255, 190, 228, 255, 164, 206, 241, 129, 170, 207,  82, 121, 160,  79, 119, 158,  58,  96, 128,  62,  98, 144,  46,  82, 131,  46,  78, 133,  62,  91, 126,  42,  68, 102,  59,  75, 101,  99, 115, 145, 116, 129, 163, 123, 137, 169, 129, 140, 170, 129, 140, 170, 135, 147, 174,
   135, 146, 173, 138, 152, 173, 134, 146, 165, 113, 125, 147, 104, 117, 138,  84,  96, 120, 119, 131, 154, 112, 124, 148, 132, 146, 168, 170, 185, 200, 209, 224, 235, 231, 245, 251, 238, 250, 253, 240, 251, 253, 237, 248, 252, 233, 246, 252, 236, 248, 252, 233, 246, 253, 232, 245, 253, 234, 246, 254, 236, 248, 252,
   234, 247, 254, 237, 250, 253, 243, 254, 254, 243, 254, 254, 252, 254, 254, 254, 255, 255, 252, 255, 255, 253, 255, 255, 249, 254, 254, 238, 252, 255, 239, 252, 254, 248, 254, 254, 254, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 253, 255, 254, 249, 255, 254, 248, 255, 254, 189, 221, 239, 108, 172, 216,
   103, 178, 226,  71, 167, 223,  42, 150, 211,  33, 146, 208,  35, 137, 199,  35, 140, 210,  52, 155, 220,  78, 169, 227,  79, 165, 214,  90, 174, 227, 115, 185, 241, 113, 161, 229, 152, 189, 250, 170, 203, 252, 196, 235, 253, 251, 254, 254, 254, 254, 254, 254, 255, 255, 255, 255, 255, 253, 255, 255, 252, 255, 254,
   254, 255, 255, 254, 255, 255, 254, 255, 255, 255, 255, 255, 254, 255, 255, 253, 255, 255, 254, 255, 255, 254, 255, 255, 254, 255, 255, 247, 255, 254, 243, 255, 255, 239, 254, 254, 240, 255, 254, 244, 254, 254, 247, 254, 254, 243, 253, 254, 234, 250, 254, 231, 247, 255, 225, 241, 252, 219, 235, 247, 213, 229, 241,
   204, 222, 232, 196, 213, 224, 183, 200, 212, 170, 186, 198, 151, 167, 180, 128, 145, 158, 106, 123, 133,  88, 104, 116,  60,  69,  79,  39,  47,  56,  31,  41,  51,  34,  45,  53,  27,  36,  45,  21,  29,  39,  19,  29,  37,   7,  10,  17,   1,   2,   2,   1,   2,   2,   1,   1,   2,   1,   1,   1,   1,   1,   1,
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    56,  74,  86,  59,  77,  87,  67,  84,  95,  76,  92, 103,  80,  97, 108,  95, 111, 122, 106, 122, 133, 126, 142, 154, 134, 150, 159, 136, 153, 162, 149, 166, 175, 163, 179, 187, 161, 178, 187, 159, 176, 185, 150, 168, 177, 148, 165, 176, 146, 164, 174, 157, 175, 184, 161, 178, 187, 163, 180, 189, 170, 187, 196,
   177, 194, 203, 178, 195, 204, 184, 202, 210, 190, 207, 216, 189, 206, 215, 188, 205, 214, 191, 208, 217, 196, 213, 222, 206, 223, 233, 214, 230, 242, 208, 226, 234, 209, 225, 238, 204, 222, 231, 201, 218, 229, 204, 222, 231, 204, 221, 232, 204, 220, 232, 205, 222, 233, 205, 223, 233, 201, 219, 230, 199, 217, 226,
   196, 214, 226, 193, 211, 222, 196, 214, 224, 185, 202, 215, 175, 192, 205, 163, 182, 196, 171, 189, 201, 174, 191, 203, 176, 193, 206, 178, 195, 208, 184, 202, 213, 187, 205, 216, 197, 215, 226, 211, 228, 239, 210, 227, 238, 214, 231, 242, 216, 232, 244, 217, 233, 245, 219, 235, 246, 223, 237, 249, 225, 240, 250,
   233, 247, 254, 233, 247, 254, 234, 248, 254, 234, 249, 254, 235, 248, 253, 237, 251, 254, 232, 246, 252, 233, 248, 254, 231, 246, 253, 224, 239, 251, 223, 241, 252, 228, 245, 253, 221, 241, 254, 213, 237, 253, 225, 251, 254, 222, 253, 255, 217, 250, 253, 206, 240, 252, 207, 240, 254, 202, 237, 255, 173, 213, 249,
   138, 177, 217, 113, 146, 193,  98, 131, 176,  80, 109, 145,  63,  90, 131,  66,  87, 120,  98, 116, 153, 117, 138, 178, 130, 150, 186, 141, 159, 191, 153, 169, 198, 155, 171, 198, 165, 178, 203, 173, 187, 209, 172, 186, 206, 169, 183, 201, 174, 187, 205, 154, 166, 184, 133, 144, 163,  98, 110, 132,  98, 109, 134,
   101, 113, 136, 112, 126, 149, 170, 186, 202, 188, 203, 216, 230, 242, 249, 238, 251, 253, 238, 250, 254, 234, 247, 251, 242, 253, 254, 233, 245, 251, 225, 240, 250, 230, 242, 251, 233, 245, 252, 231, 245, 251, 237, 250, 253, 243, 254, 255, 242, 254, 254, 237, 251, 253, 253, 254, 255, 252, 254, 254, 252, 255, 255,
   245, 252, 254, 240, 251, 253, 236, 249, 254, 232, 245, 252, 244, 254, 254, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 254, 254, 252, 255, 255, 254, 255, 255, 217, 243, 251, 146, 199, 238, 114, 184, 229,  87, 169, 217,  67, 156, 210,  56, 151, 209,  47, 137, 195,  56, 149, 213,  67, 166, 229,
    79, 168, 228,  91, 171, 223, 116, 185, 234, 125, 184, 236,  90, 129, 206, 149, 180, 242, 171, 204, 252, 207, 241, 253, 249, 254, 254, 254, 254, 254, 255, 255, 255, 255, 255, 255, 254, 255, 255, 250, 255, 254, 255, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 253, 255, 255, 255, 255, 255,
   255, 255, 255, 253, 254, 254, 245, 254, 254, 241, 254, 253, 244, 254, 254, 248, 255, 254, 247, 255, 253, 240, 255, 254, 234, 250, 255, 233, 249, 254, 227, 244, 253, 225, 241, 253, 222, 238, 250, 214, 230, 242, 206, 224, 234, 194, 212, 221, 188, 204, 216, 170, 186, 198, 151, 167, 179, 141, 157, 170, 123, 140, 154,
   107, 123, 136,  81,  95, 107,  73,  85,  98,  71,  87, 100,  70,  86,  98,  57,  68,  78,  50,  60,  69,  39,  47,  56,  30,  37,  45,  12,  17,  24,   5,  10,  17,   3,   6,  15,   1,   1,   3,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,
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     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,  88, 114, 138,  79, 105, 127,  72,  97, 118,  66,  92, 109,  59,  84, 100,  57,  80,  94,  61,  83,  98,  68,  89, 102,  71,  90, 103,  77,  96, 107,  82, 100, 111,  91, 108, 119,  93, 109, 121, 102, 120, 128,
   110, 128, 138, 114, 131, 143, 118, 134, 146, 134, 151, 163, 134, 153, 161, 142, 158, 169, 150, 168, 178, 151, 170, 179, 153, 171, 180, 154, 172, 183, 149, 167, 179, 153, 171, 180, 155, 172, 182, 162, 179, 188, 163, 180, 189, 166, 183, 193, 171, 188, 198, 184, 202, 210, 191, 208, 217, 195, 212, 221, 198, 215, 224,
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   249, 254, 253, 242, 254, 254, 238, 254, 253, 241, 254, 253, 239, 253, 254, 237, 251, 254, 232, 248, 254, 232, 246, 253, 230, 246, 253, 227, 242, 251, 225, 237, 247, 216, 231, 240, 214, 229, 239, 207, 223, 231, 195, 211, 218, 178, 193, 200, 159, 171, 180, 124, 136, 145,  91, 101, 110,  54,  62,  69,  36,  43,  49,
    18,  24,  28,   6,  10,  13,   6,  10,  14,   2,   5,   8,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,
    78,  93, 103,  81,  96, 105,  89, 105, 117,  93, 108, 120,  98, 114, 125, 102, 119, 130, 105, 122, 134, 107, 125, 136, 108, 125, 138, 101, 119, 130,  92, 110, 121,  89, 107, 118,  90, 107, 119,  93, 112, 122, 110, 127, 138, 104, 122, 133, 118, 134, 145, 110, 129, 139, 121, 138, 150, 138, 156, 166, 139, 158, 167,
   137, 156, 166, 135, 152, 165, 147, 165, 174, 139, 157, 169, 140, 158, 171, 140, 158, 170, 139, 157, 168, 137, 156, 168, 142, 160, 172, 152, 169, 180, 154, 173, 183, 163, 181, 190, 167, 186, 194, 165, 182, 194, 169, 188, 198, 180, 197, 207, 185, 203, 214, 184, 202, 211, 191, 209, 220, 186, 204, 214, 178, 196, 208,
   174, 192, 204, 172, 190, 202, 167, 186, 196, 179, 198, 209, 181, 199, 210, 187, 204, 215, 187, 204, 213, 179, 197, 209, 178, 197, 206, 190, 206, 215, 186, 204, 213, 180, 198, 208, 180, 198, 209, 181, 200, 209, 172, 190, 202, 183, 201, 212, 177, 195, 206, 189, 206, 216, 202, 219, 229, 194, 212, 223, 190, 208, 220,
   177, 194, 206, 191, 209, 220, 196, 215, 224, 202, 220, 231, 210, 226, 237, 208, 225, 236, 211, 226, 239, 213, 229, 241, 210, 226, 238, 209, 225, 236, 217, 232, 245, 226, 242, 250, 228, 243, 252, 219, 236, 247, 207, 223, 235, 220, 237, 247, 221, 236, 248, 230, 247, 252, 232, 247, 254, 230, 245, 253, 231, 247, 253,
   218, 232, 244, 218, 235, 244, 226, 241, 250, 224, 240, 248, 239, 252, 255, 228, 243, 251, 236, 251, 254, 241, 254, 254, 242, 254, 254, 243, 254, 253, 251, 254, 254, 250, 255, 255, 246, 254, 254, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255,
   250, 255, 253, 250, 254, 254, 243, 253, 253, 233, 243, 250, 235, 250, 252, 238, 250, 251, 216, 232, 240, 231, 243, 249, 240, 251, 254, 227, 240, 248, 238, 250, 254, 237, 249, 253, 235, 247, 251, 239, 252, 254, 226, 238, 248, 233, 246, 253, 232, 247, 253, 220, 233, 244, 224, 238, 249, 221, 235, 247, 221, 234, 246,
   208, 222, 234, 212, 227, 239, 222, 234, 246, 234, 246, 253, 238, 252, 253, 249, 254, 254, 254, 254, 254, 254, 255, 255, 254, 255, 255, 250, 255, 254, 248, 254, 254, 251, 255, 254, 254, 255, 254, 255, 255, 255, 254, 255, 255, 253, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
   249, 254, 254, 242, 254, 254, 235, 247, 253, 252, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 254, 255, 254, 255, 255, 255, 255, 255, 253, 255, 255, 254, 254, 254, 253, 255, 255, 251, 255, 254, 247, 253, 253, 254, 255, 255, 254, 255, 255,
   253, 255, 255, 249, 255, 254, 251, 255, 255, 250, 255, 255, 250, 255, 254, 251, 255, 255, 253, 255, 255, 245, 254, 254, 240, 253, 254, 240, 253, 254, 242, 254, 254, 243, 254, 254, 243, 255, 254, 246, 254, 254, 245, 255, 255, 241, 254, 254, 239, 253, 253, 238, 253, 255, 237, 252, 255, 235, 250, 254, 237, 250, 254,
   233, 247, 253, 229, 245, 252, 229, 241, 251, 228, 240, 250, 223, 236, 246, 220, 234, 243, 214, 227, 237, 202, 218, 224, 191, 205, 213, 173, 186, 194, 137, 148, 157, 111, 121, 131,  73,  80,  87,  47,  53,  61,  21,  26,  32,  12,  15,  19,  16,  22,  26,   3,   5,   6,   2,   2,   3,   1,   1,   1,   0,   1,   0,
     1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,
     1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,  73,  88,  96,  79,  94, 104,  82,  97, 106,  88, 104, 114,  92, 109, 120,  90, 107, 117,  93, 109, 121,
    95, 111, 123, 103, 121, 132, 103, 121, 132,  95, 113, 124,  93, 111, 122,  96, 113, 124,  97, 116, 126,  96, 112, 124, 109, 126, 137, 111, 128, 139, 110, 128, 139, 122, 140, 151, 134, 152, 163, 131, 150, 161, 131, 148, 159, 134, 153, 164, 136, 155, 166, 142, 160, 171, 152, 170, 181, 143, 160, 173, 142, 159, 172,
   145, 163, 176, 144, 162, 174, 150, 168, 179, 154, 171, 183, 157, 175, 185, 165, 183, 193, 166, 184, 195, 174, 192, 201, 184, 201, 210, 185, 202, 214, 180, 198, 208, 179, 197, 208, 181, 200, 209, 183, 201, 212, 177, 194, 207, 173, 192, 203, 176, 194, 206, 176, 194, 205, 169, 188, 200, 176, 194, 205, 183, 202, 212,
   170, 187, 200, 176, 194, 204, 182, 199, 209, 189, 205, 216, 183, 202, 212, 182, 199, 210, 180, 198, 209, 178, 196, 207, 184, 202, 213, 179, 197, 208, 188, 205, 216, 203, 219, 231, 196, 213, 225, 195, 213, 224, 194, 212, 223, 200, 217, 228, 197, 216, 226, 205, 221, 232, 206, 223, 234, 217, 234, 243, 222, 238, 247,
   220, 236, 246, 217, 232, 244, 217, 234, 244, 211, 228, 240, 213, 230, 238, 222, 237, 248, 224, 239, 250, 224, 238, 249, 225, 243, 251, 225, 241, 250, 224, 240, 250, 225, 241, 249, 231, 245, 253, 236, 251, 254, 227, 242, 250, 215, 232, 242, 222, 237, 248, 230, 245, 252, 237, 251, 254, 233, 248, 253, 238, 250, 254,
   237, 252, 254, 240, 253, 254, 248, 255, 254, 253, 255, 255, 254, 254, 254, 251, 254, 254, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255, 252, 255, 254, 249, 254, 254, 251, 254, 254, 243, 253, 253, 248, 255, 255, 235, 249, 251, 241, 253, 253, 222, 234, 242,
   231, 245, 252, 238, 252, 252, 227, 239, 247, 237, 250, 253, 234, 246, 253, 227, 240, 245, 236, 249, 253, 234, 248, 255, 232, 244, 252, 233, 246, 252, 225, 238, 248, 217, 230, 242, 226, 242, 250, 224, 237, 248, 207, 222, 234, 205, 221, 233, 207, 222, 234, 220, 235, 246, 235, 248, 254, 241, 253, 254, 246, 253, 254,
   251, 255, 254, 247, 254, 255, 246, 254, 253, 248, 254, 254, 239, 253, 253, 249, 254, 254, 251, 254, 254, 251, 255, 255, 252, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 249, 255, 254, 241, 252, 254, 234, 246, 253, 248, 253, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255,
   255, 255, 255, 255, 255, 255, 255, 255, 255, 252, 254, 254, 252, 254, 254, 253, 254, 254, 253, 255, 255, 254, 255, 255, 254, 255, 255, 253, 254, 254, 251, 255, 255, 253, 255, 255, 254, 255, 255, 254, 255, 255, 254, 255, 255, 253, 255, 255, 250, 255, 254, 249, 255, 254, 254, 254, 254, 255, 255, 255, 250, 255, 254,
   243, 255, 253, 242, 255, 254, 244, 254, 254, 238, 252, 254, 240, 253, 254, 242, 253, 253, 241, 254, 254, 242, 255, 254, 239, 253, 255, 239, 254, 255, 238, 252, 254, 237, 251, 255, 236, 251, 254, 232, 247, 254, 231, 247, 254, 232, 246, 253, 230, 243, 252, 229, 240, 250, 226, 238, 248, 223, 238, 246, 219, 232, 241,
   207, 220, 228, 199, 213, 221, 190, 203, 211, 174, 186, 194, 155, 166, 176, 122, 135, 145,  81,  90,  98,  66,  75,  83,  56,  64,  73,  41,  50,  58,  34,  41,  46,  16,  21,  25,   4,   6,   7,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,  85, 100, 109,  88, 102, 114,  83,  99, 108,  83,  99, 110,  82,  99, 108,  88, 106, 115,  89, 105, 116,  93, 109, 121,  99, 116, 128,  93, 111, 121,  97, 115, 126,  87, 103, 115,  96, 112, 124,  94, 112, 123,
   101, 118, 129, 112, 128, 140, 107, 125, 135, 116, 133, 144, 132, 151, 160, 125, 144, 154, 132, 150, 161, 136, 154, 165, 139, 157, 168, 135, 154, 165, 138, 155, 167, 135, 153, 167, 134, 153, 166, 134, 151, 164, 129, 148, 163, 128, 147, 162, 138, 157, 172, 133, 151, 166, 129, 148, 163, 136, 154, 170, 150, 170, 180,
   167, 186, 195, 172, 190, 200, 167, 185, 197, 170, 188, 199, 174, 191, 203, 184, 203, 211, 195, 213, 222, 194, 211, 221, 184, 202, 213, 183, 201, 212, 181, 198, 210, 172, 191, 202, 175, 193, 204, 173, 192, 203, 170, 188, 199, 172, 191, 201, 175, 193, 205, 176, 193, 205, 165, 182, 195, 168, 185, 197, 172, 189, 202,
   176, 194, 205, 185, 203, 215, 189, 206, 217, 195, 211, 223, 206, 224, 234, 214, 231, 242, 200, 218, 227, 191, 209, 221, 194, 212, 222, 188, 206, 218, 178, 194, 208, 186, 204, 216, 202, 219, 228, 215, 233, 242, 223, 239, 247, 219, 235, 245, 210, 227, 238, 212, 229, 240, 214, 230, 242, 215, 231, 243, 219, 236, 245,
   224, 240, 249, 222, 238, 249, 228, 243, 252, 219, 236, 248, 225, 239, 248, 224, 240, 248, 230, 244, 252, 240, 254, 254, 227, 243, 248, 220, 235, 247, 238, 252, 254, 235, 250, 253, 237, 252, 254, 240, 252, 253, 240, 253, 254, 237, 252, 254, 238, 252, 253, 248, 254, 254, 247, 254, 254, 252, 254, 254, 254, 254, 254,
   255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 251, 254, 254, 246, 254, 254, 249, 255, 254, 243, 254, 253, 244, 254, 254, 239, 254, 253, 237, 249, 252, 237, 248, 252, 250, 255, 255, 232, 245, 250, 248, 255, 255, 246, 253, 254, 242, 252, 254, 240, 252, 254, 218, 232, 242, 226, 240, 250,
   232, 246, 253, 225, 237, 249, 223, 236, 245, 221, 235, 244, 217, 233, 240, 226, 240, 250, 221, 234, 246, 209, 224, 236, 213, 229, 240, 207, 223, 234, 200, 215, 228, 223, 236, 248, 230, 243, 252, 228, 241, 251, 242, 253, 254, 242, 254, 253, 244, 253, 254, 242, 253, 254, 240, 253, 254, 242, 254, 255, 249, 255, 254,
   247, 255, 254, 244, 255, 254, 249, 254, 254, 250, 255, 255, 251, 255, 255, 254, 255, 255, 254, 254, 254, 250, 255, 254, 237, 251, 253, 230, 241, 248, 236, 247, 253, 252, 254, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255, 250, 254, 254, 251, 254, 254, 252, 254, 254, 249, 254, 254,
   251, 254, 254, 250, 255, 255, 252, 254, 255, 245, 255, 253, 248, 254, 254, 253, 255, 255, 255, 255, 255, 255, 255, 255, 253, 255, 255, 253, 255, 255, 254, 255, 255, 253, 255, 255, 249, 254, 254, 243, 253, 254, 245, 254, 255, 242, 253, 254, 241, 254, 253, 239, 252, 254, 242, 253, 254, 245, 255, 255, 244, 255, 255,
   244, 255, 255, 247, 254, 254, 243, 254, 254, 240, 254, 254, 239, 253, 255, 237, 252, 254, 233, 246, 254, 233, 246, 254, 234, 246, 254, 230, 243, 251, 226, 241, 249, 225, 238, 247, 221, 234, 243, 219, 233, 242, 210, 226, 233, 202, 214, 222, 195, 208, 216, 182, 196, 204, 173, 184, 192, 151, 164, 173, 113, 127, 135,
   103, 115, 124,  93, 104, 113,  67,  76,  85,  52,  60,  66,  40,  47,  54,  22,  29,  33,   1,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,
     1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    80,  96, 106,  82,  98, 109,  85, 101, 112,  81,  97, 108,  80,  95, 104,  79,  96, 105,  85, 102, 112,  93, 111, 122,  89, 106, 117,  87, 104, 115,  83, 100, 111,  87, 103, 114,  91, 107, 119,  85, 102, 113, 105, 123, 134,  93, 111, 122, 111, 128, 139, 121, 138, 149, 128, 146, 157, 131, 149, 160, 132, 150, 161,
   132, 150, 161, 139, 157, 168, 141, 159, 170, 143, 161, 173, 140, 159, 173, 148, 166, 179, 147, 164, 177, 143, 161, 174, 147, 165, 179, 136, 155, 170, 138, 156, 170, 140, 158, 173, 131, 150, 165, 142, 161, 174, 154, 172, 184, 152, 170, 181, 160, 178, 190, 162, 179, 191, 167, 185, 196, 180, 199, 209, 189, 206, 215,
   189, 206, 216, 188, 206, 215, 183, 201, 211, 177, 194, 206, 172, 190, 202, 172, 189, 201, 169, 186, 198, 167, 185, 196, 169, 187, 198, 177, 195, 206, 167, 184, 197, 168, 186, 198, 176, 194, 204, 176, 194, 205, 179, 196, 207, 181, 198, 210, 180, 198, 209, 198, 215, 224, 205, 222, 232, 208, 224, 236, 211, 228, 238,
   209, 226, 237, 200, 218, 229, 190, 207, 219, 168, 186, 202, 175, 193, 206, 194, 212, 222, 199, 217, 228, 205, 222, 234, 216, 233, 244, 212, 230, 239, 208, 225, 236, 219, 234, 246, 213, 229, 242, 219, 236, 245, 224, 241, 249, 224, 240, 250, 232, 246, 253, 225, 241, 251, 219, 234, 246, 231, 245, 253, 228, 244, 252,
   233, 248, 254, 240, 253, 254, 229, 245, 253, 230, 243, 251, 242, 254, 254, 240, 253, 254, 238, 252, 253, 252, 255, 255, 248, 254, 253, 239, 252, 254, 242, 255, 253, 243, 254, 253, 249, 254, 254, 255, 255, 255, 255, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
   252, 255, 255, 242, 254, 254, 240, 253, 253, 238, 252, 255, 235, 248, 251, 239, 251, 254, 241, 252, 253, 238, 250, 254, 249, 254, 255, 244, 254, 253, 255, 255, 254, 252, 255, 254, 234, 248, 252, 234, 246, 253, 234, 247, 254, 227, 241, 248, 209, 224, 234, 224, 238, 247, 222, 237, 246, 221, 235, 245, 209, 224, 237,
   211, 227, 238, 225, 241, 250, 204, 220, 233, 199, 215, 228, 205, 221, 234, 223, 238, 249, 224, 236, 249, 235, 247, 253, 239, 251, 254, 234, 247, 253, 240, 252, 253, 238, 251, 253, 236, 248, 252, 240, 253, 254, 241, 253, 254, 241, 253, 253, 237, 250, 254, 237, 251, 252, 242, 253, 254, 249, 254, 254, 248, 254, 254,
   243, 255, 254, 236, 247, 253, 228, 239, 247, 231, 242, 249, 244, 253, 253, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255, 252, 254, 254, 251, 255, 255, 251, 254, 254, 247, 255, 254, 239, 253, 253, 243, 254, 254, 248, 255, 254, 253, 254, 254, 250, 255, 254, 252, 255, 255,
   253, 254, 254, 252, 255, 255, 252, 255, 255, 253, 255, 255, 249, 255, 254, 249, 254, 254, 252, 255, 255, 250, 254, 254, 247, 254, 254, 242, 255, 255, 241, 253, 254, 239, 252, 254, 241, 254, 254, 240, 253, 253, 242, 255, 254, 243, 254, 254, 239, 253, 255, 238, 251, 253, 237, 252, 254, 236, 252, 254, 233, 247, 255,
   232, 245, 254, 232, 244, 253, 230, 242, 251, 230, 242, 250, 227, 239, 247, 222, 233, 243, 219, 232, 243, 216, 229, 238, 208, 222, 229, 200, 215, 222, 192, 205, 213, 180, 191, 201, 170, 180, 189, 144, 155, 164, 112, 124, 133,  96, 107, 115,  77,  86,  95,  58,  67,  74,  51,  56,  63,  36,  43,  50,  15,  19,  22,
     4,   4,   4,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,  69,  85,  93,  73,  88,  96,  96, 112, 122,  97, 113, 124,  80,  96, 106,  96, 114, 124,  95, 113, 123,
    95, 112, 123,  87, 104, 115,  81,  98, 110,  88, 105, 116,  84, 102, 112,  84, 102, 112,  91, 109, 120,  87, 105, 116, 104, 121, 133, 115, 133, 145, 122, 140, 151, 128, 146, 157, 128, 146, 157, 135, 153, 164, 134, 152, 163, 142, 160, 171, 150, 168, 179, 154, 172, 184, 160, 178, 187, 157, 176, 186, 149, 167, 180,
   152, 170, 182, 150, 168, 180, 141, 160, 174, 140, 160, 173, 131, 151, 166, 126, 147, 162, 126, 144, 159, 116, 135, 151, 124, 144, 159, 114, 135, 150, 117, 137, 153, 133, 152, 166, 139, 157, 172, 141, 159, 174, 146, 166, 179, 145, 164, 178, 141, 160, 174, 158, 175, 188, 162, 181, 192, 167, 185, 197, 159, 177, 189,
   170, 187, 199, 160, 178, 190, 171, 189, 199, 175, 191, 203, 179, 197, 207, 185, 204, 213, 178, 196, 207, 168, 187, 199, 165, 183, 196, 178, 195, 206, 193, 211, 221, 199, 216, 224, 208, 225, 235, 211, 228, 239, 211, 227, 240, 207, 224, 236, 200, 218, 229, 189, 207, 219, 182, 200, 212, 195, 214, 223, 207, 222, 233,
   208, 225, 234, 211, 227, 238, 211, 228, 238, 213, 229, 242, 213, 231, 241, 206, 224, 234, 211, 227, 239, 218, 234, 244, 227, 244, 252, 224, 241, 249, 229, 245, 253, 227, 242, 250, 226, 242, 250, 232, 248, 253, 238, 252, 254, 239, 253, 255, 238, 251, 253, 236, 252, 253, 239, 253, 254, 243, 253, 254, 241, 253, 254,
   251, 254, 254, 254, 255, 255, 244, 252, 253, 239, 250, 253, 252, 255, 255, 247, 254, 254, 255, 255, 255, 255, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 246, 254, 253, 242, 254, 254, 235, 251, 253, 237, 251, 254, 243, 255, 254, 236, 250, 251,
   252, 255, 254, 253, 255, 254, 254, 255, 255, 254, 255, 255, 254, 255, 255, 249, 254, 254, 243, 253, 254, 241, 253, 254, 220, 233, 245, 207, 222, 234, 232, 245, 252, 231, 243, 251, 214, 227, 238, 207, 223, 235, 212, 227, 239, 218, 233, 245, 205, 222, 234, 198, 214, 227, 202, 217, 230, 215, 230, 243, 215, 228, 245,
   225, 238, 252, 235, 247, 254, 229, 240, 249, 234, 247, 253, 233, 245, 253, 220, 232, 247, 225, 238, 249, 231, 243, 253, 230, 241, 251, 233, 245, 253, 229, 243, 249, 236, 248, 252, 234, 245, 252, 238, 250, 254, 240, 253, 255, 238, 250, 254, 228, 239, 247, 229, 240, 248, 236, 248, 252, 255, 255, 254, 255, 255, 255,
   255, 255, 255, 255, 255, 255, 254, 255, 255, 252, 255, 255, 248, 254, 254, 252, 254, 254, 244, 253, 253, 244, 252, 254, 240, 253, 253, 245, 254, 254, 247, 255, 253, 250, 255, 254, 250, 254, 254, 246, 254, 254, 252, 254, 255, 253, 255, 255, 255, 255, 255, 253, 255, 255, 249, 255, 255, 252, 255, 254, 253, 255, 255,
   249, 255, 254, 246, 255, 254, 241, 254, 254, 239, 251, 254, 241, 254, 255, 242, 255, 254, 244, 254, 254, 243, 255, 255, 242, 254, 254, 240, 253, 254, 239, 253, 255, 235, 250, 253, 233, 249, 252, 237, 250, 254, 234, 248, 254, 234, 247, 255, 231, 245, 253, 228, 240, 248, 225, 236, 246, 220, 234, 244, 219, 232, 242,
   218, 231, 240, 214, 227, 235, 207, 220, 228, 202, 216, 223, 192, 205, 213, 190, 203, 210, 176, 188, 197, 152, 166, 173, 129, 140, 148, 105, 116, 124,  88,  99, 106,  61,  67,  74,  47,  56,  63,  41,  48,  54,  22,  26,  29,   0,   2,   2,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,
     0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,
     0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,  70,  84,  92,  85, 101, 109,  85, 102, 110,  82,  99, 110,  95, 112, 121, 108, 125, 135, 103, 119, 131,  95, 112, 123,  98, 115, 127,  91, 109, 121,  93, 111, 122,  96, 114, 124,  96, 115, 125,  96, 114, 124,
   106, 123, 134, 123, 141, 152, 115, 133, 144, 119, 138, 147, 132, 151, 161, 130, 149, 159, 137, 155, 165, 142, 160, 171, 151, 169, 180, 152, 170, 180, 155, 173, 184, 162, 180, 190, 163, 181, 191, 157, 176, 188, 167, 186, 197, 159, 177, 190, 143, 162, 175, 142, 160, 174, 143, 162, 176, 142, 161, 175, 132, 152, 167,
   121, 141, 158, 118, 137, 154, 118, 139, 154, 125, 144, 159, 103, 123, 140, 105, 124, 142, 107, 126, 143, 116, 137, 152, 129, 148, 164, 151, 168, 182, 146, 165, 178, 149, 168, 181, 160, 178, 190, 175, 193, 204, 178, 195, 206, 180, 198, 208, 171, 190, 201, 174, 192, 203, 174, 192, 204, 180, 197, 207, 185, 203, 212,
   171, 189, 201, 173, 190, 203, 184, 202, 213, 185, 203, 214, 196, 214, 223, 207, 224, 233, 206, 224, 233, 204, 222, 232, 200, 218, 229, 196, 214, 225, 200, 219, 227, 196, 214, 225, 196, 214, 225, 194, 213, 221, 210, 226, 237, 211, 227, 240, 212, 228, 240, 216, 232, 244, 211, 227, 239, 208, 225, 236, 210, 227, 238,
   213, 229, 241, 219, 236, 244, 222, 239, 248, 219, 235, 247, 219, 235, 245, 214, 230, 241, 223, 239, 249, 233, 247, 252, 227, 244, 250, 238, 252, 254, 237, 252, 254, 236, 249, 253, 242, 254, 254, 254, 254, 254, 255, 255, 255, 255, 255, 255, 253, 254, 254, 250, 254, 255, 252, 254, 254, 241, 252, 253, 254, 254, 254,
   255, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 250, 255, 254, 246, 254, 254, 249, 255, 254, 251, 254, 254, 248, 253, 254, 255, 255, 254, 254, 255, 255, 252, 255, 255, 254, 255, 255, 254, 255, 255, 249, 253, 254, 234, 249, 253,
   240, 252, 254, 225, 239, 249, 197, 213, 225, 219, 234, 242, 236, 248, 253, 222, 235, 243, 229, 243, 251, 212, 227, 240, 215, 231, 243, 206, 222, 234, 212, 228, 241, 197, 213, 226, 210, 225, 240, 214, 229, 245, 214, 228, 245, 227, 240, 250, 231, 243, 252, 218, 233, 247, 217, 230, 246, 209, 224, 241, 218, 233, 247,
   214, 229, 245, 212, 227, 245, 217, 232, 247, 224, 237, 250, 219, 232, 246, 224, 237, 247, 230, 242, 251, 234, 246, 253, 232, 243, 252, 225, 237, 246, 223, 234, 243, 238, 250, 252, 248, 254, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 253, 255, 255, 249, 254, 253, 247, 254, 253, 247, 253, 253, 249, 255, 254,
   251, 254, 254, 244, 253, 254, 251, 255, 255, 251, 255, 255, 252, 255, 254, 249, 253, 254, 251, 255, 254, 254, 255, 255, 253, 255, 255, 251, 255, 255, 248, 255, 254, 243, 254, 254, 245, 255, 254, 250, 254, 254, 249, 255, 254, 251, 255, 255, 247, 255, 255, 241, 253, 255, 241, 254, 254, 247, 254, 254, 247, 255, 254,
   247, 255, 255, 245, 255, 254, 241, 254, 254, 240, 253, 254, 239, 253, 254, 236, 248, 255, 234, 248, 254, 233, 247, 254, 233, 246, 254, 229, 242, 251, 227, 239, 248, 226, 237, 247, 223, 235, 244, 217, 231, 239, 217, 229, 238, 214, 227, 235, 208, 221, 230, 204, 218, 225, 199, 211, 219, 194, 207, 216, 188, 201, 209,
   174, 188, 195, 163, 173, 182, 136, 147, 156, 103, 114, 121,  71,  79,  87,  49,  57,  64,  48,  56,  63,  34,  39,  44,   8,  11,  14,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,
     1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,
    78,  91, 100,  81,  96, 105,  82,  97, 107,  94, 111, 120, 104, 120, 131, 109, 125, 137, 105, 121, 132, 110, 127, 135, 103, 121, 132, 100, 119, 129,  98, 116, 127, 102, 119, 131,  98, 117, 126, 104, 120, 131, 122, 139, 150, 123, 142, 151, 122, 140, 151, 136, 155, 163, 136, 154, 165, 137, 156, 166, 153, 171, 180,
   152, 170, 181, 152, 170, 180, 156, 174, 184, 162, 180, 190, 169, 187, 198, 172, 190, 200, 176, 193, 203, 166, 186, 197, 159, 175, 189, 165, 184, 196, 164, 183, 194, 166, 184, 196, 164, 180, 193, 162, 181, 194, 150, 170, 184, 153, 172, 184, 157, 174, 187, 142, 161, 176, 120, 140, 158, 101, 122, 139, 108, 128, 145,
   119, 138, 155, 141, 160, 174, 154, 172, 184, 160, 177, 190, 164, 181, 193, 168, 186, 197, 168, 187, 198, 181, 199, 208, 179, 197, 207, 173, 191, 202, 172, 191, 200, 180, 198, 208, 191, 209, 219, 181, 198, 210, 173, 191, 202, 184, 202, 213, 189, 206, 218, 184, 202, 212, 186, 204, 215, 192, 209, 220, 196, 213, 223,
   198, 216, 226, 200, 218, 228, 193, 211, 221, 205, 223, 232, 202, 219, 230, 202, 218, 230, 202, 219, 230, 215, 232, 241, 209, 225, 237, 208, 224, 235, 212, 229, 240, 214, 230, 242, 215, 231, 242, 218, 234, 245, 212, 228, 240, 216, 232, 242, 221, 237, 248, 224, 239, 249, 216, 232, 244, 216, 232, 244, 213, 229, 241,
   218, 234, 243, 224, 239, 249, 225, 242, 251, 232, 246, 253, 235, 250, 254, 238, 252, 254, 248, 254, 253, 255, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 253, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
   255, 255, 255, 255, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 253, 255, 255, 250, 254, 254, 254, 255, 255, 254, 255, 255, 248, 255, 254, 245, 253, 253, 245, 253, 254, 253, 255, 254, 246, 254, 253, 233, 247, 253, 239, 253, 255, 238, 251, 253, 226, 240, 247, 231, 245, 251, 228, 241, 249, 219, 234, 243,
   207, 223, 235, 212, 229, 240, 203, 220, 233, 204, 221, 234, 193, 208, 226, 194, 210, 226, 201, 217, 235, 208, 224, 241, 208, 224, 242, 217, 231, 247, 214, 230, 247, 215, 228, 246, 202, 217, 236, 200, 215, 234, 197, 212, 230, 210, 224, 241, 203, 219, 235, 207, 221, 239, 207, 222, 239, 217, 230, 246, 225, 237, 250,
   218, 230, 243, 228, 240, 250, 225, 237, 248, 219, 229, 239, 229, 242, 249, 240, 253, 254, 250, 255, 254, 254, 255, 255, 253, 255, 255, 250, 254, 254, 251, 255, 254, 243, 254, 253, 239, 253, 253, 241, 254, 253, 241, 254, 254, 241, 254, 254, 245, 254, 254, 243, 254, 253, 245, 253, 253, 252, 254, 254, 249, 254, 254,
   246, 254, 254, 245, 253, 254, 241, 253, 253, 245, 255, 253, 244, 254, 254, 243, 254, 254, 246, 254, 254, 250, 254, 254, 250, 255, 254, 247, 254, 253, 245, 254, 254, 244, 254, 254, 249, 255, 254, 252, 255, 254, 252, 255, 255, 244, 254, 253, 241, 254, 254, 240, 254, 254, 239, 253, 254, 237, 249, 254, 233, 248, 254,
   234, 248, 254, 235, 248, 255, 232, 245, 253, 231, 242, 252, 228, 240, 248, 224, 237, 245, 219, 233, 241, 216, 231, 238, 212, 225, 233, 209, 222, 231, 205, 218, 226, 201, 214, 222, 197, 209, 218, 194, 205, 214, 183, 196, 203, 172, 183, 192, 152, 162, 172, 129, 139, 149,  99, 109, 119,  68,  75,  83,  53,  62,  67,
    39,  45,  50,  20,  26,  30,   6,   8,  11,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,
     1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,  82,  96, 105,  80,  95, 104, 100, 116, 126, 101, 118, 127, 100, 116, 127,  98, 115, 125, 105, 122, 133,
   106, 123, 133, 106, 125, 135, 100, 118, 129, 100, 117, 128, 107, 124, 135, 105, 123, 133, 124, 141, 150, 126, 144, 153, 130, 146, 157, 134, 153, 160, 138, 157, 165, 140, 158, 168, 146, 164, 174, 149, 167, 175, 158, 176, 185, 158, 177, 186, 160, 178, 187, 167, 185, 195, 174, 192, 203, 178, 196, 207, 173, 191, 201,
   176, 195, 205, 182, 200, 210, 179, 196, 206, 172, 190, 201, 177, 194, 205, 179, 196, 207, 175, 192, 204, 174, 191, 204, 162, 179, 193, 141, 160, 175, 140, 159, 174, 127, 145, 162, 112, 132, 149, 125, 143, 160, 133, 152, 167, 147, 166, 178, 164, 182, 193, 167, 185, 195, 177, 195, 205, 181, 199, 208, 169, 187, 198,
   169, 187, 198, 177, 195, 206, 171, 189, 200, 168, 186, 197, 173, 191, 202, 183, 201, 211, 190, 206, 216, 190, 209, 219, 188, 206, 217, 181, 199, 210, 194, 213, 222, 196, 215, 223, 195, 212, 222, 200, 218, 226, 208, 225, 237, 198, 216, 223, 204, 221, 230, 205, 222, 232, 207, 224, 233, 207, 223, 234, 203, 220, 230,
   204, 221, 230, 205, 222, 234, 211, 227, 238, 205, 221, 233, 212, 229, 239, 211, 227, 240, 210, 226, 236, 213, 230, 240, 213, 230, 240, 220, 238, 246, 226, 242, 251, 225, 240, 249, 216, 232, 244, 214, 232, 242, 206, 222, 234, 214, 231, 241, 220, 236, 246, 221, 235, 245, 223, 238, 247, 237, 251, 254, 249, 255, 254,
   253, 254, 255, 253, 254, 254, 254, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 254, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
   255, 255, 255, 255, 255, 255, 253, 255, 255, 249, 254, 254, 242, 254, 254, 248, 254, 254, 248, 254, 253, 241, 251, 254, 234, 249, 253, 242, 253, 254, 236, 250, 253, 232, 247, 251, 223, 237, 245, 227, 242, 250, 219, 233, 244, 205, 220, 234, 197, 213, 227, 203, 218, 235, 185, 201, 219, 181, 196, 218, 181, 197, 219,
   191, 208, 229, 196, 212, 232, 198, 214, 235, 215, 231, 249, 206, 221, 241, 196, 212, 234, 187, 203, 226, 185, 201, 223, 199, 214, 235, 197, 213, 233, 193, 208, 227, 200, 216, 236, 206, 222, 240, 214, 228, 245, 208, 223, 238, 220, 231, 247, 220, 232, 246, 215, 228, 238, 217, 231, 239, 240, 252, 253, 240, 253, 254,
   251, 254, 253, 250, 255, 254, 251, 254, 254, 245, 253, 252, 247, 254, 253, 244, 254, 254, 240, 253, 253, 244, 254, 254, 239, 251, 254, 238, 251, 254, 242, 253, 254, 247, 255, 254, 242, 253, 252, 237, 252, 254, 243, 253, 254, 246, 254, 254, 245, 254, 253, 248, 254, 254, 251, 255, 254, 248, 254, 254, 249, 255, 255,
   252, 254, 254, 252, 254, 254, 250, 254, 254, 252, 255, 255, 241, 254, 254, 246, 255, 254, 250, 255, 254, 247, 254, 254, 241, 255, 254, 239, 253, 254, 235, 251, 253, 239, 251, 255, 236, 251, 254, 235, 248, 254, 236, 249, 254, 235, 248, 255, 232, 245, 253, 227, 243, 251, 228, 240, 250, 227, 237, 247, 225, 238, 246,
   222, 235, 243, 217, 229, 238, 211, 224, 233, 207, 220, 228, 202, 215, 223, 196, 208, 216, 190, 202, 210, 182, 194, 203, 173, 186, 194, 168, 180, 189, 147, 159, 168, 123, 132, 142,  85,  91, 101,  58,  66,  73,  45,  52,  56,  27,  32,  35,   8,  12,  15,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
     1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,
     0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1, 100, 117, 126, 104, 121, 130, 103, 120, 130, 103, 119, 130, 102, 119, 129, 102, 120, 129, 101, 118, 128,  93, 111, 120,  98, 116, 126, 102, 118, 130, 100, 116, 128, 109, 125, 137, 113, 131, 141, 115, 133, 144,
   117, 136, 144, 122, 141, 152, 124, 142, 152, 134, 152, 163, 142, 161, 170, 143, 161, 171, 149, 168, 176, 150, 168, 178, 156, 175, 184, 165, 182, 191, 172, 189, 199, 178, 197, 206, 183, 202, 212, 181, 199, 208, 189, 208, 218, 184, 201, 212, 181, 199, 210, 184, 202, 212, 186, 205, 213, 190, 209, 217, 179, 197, 208,
   174, 192, 203, 169, 186, 198, 154, 173, 187, 158, 175, 188, 148, 166, 180, 135, 154, 168, 127, 146, 160, 130, 150, 166, 134, 153, 168, 151, 168, 181, 165, 184, 194, 177, 195, 202, 172, 190, 200, 172, 190, 201, 164, 182, 193, 168, 186, 197, 175, 192, 202, 175, 193, 204, 179, 197, 206, 191, 208, 217, 193, 210, 219,
   197, 216, 224, 201, 218, 227, 203, 220, 229, 197, 213, 224, 195, 214, 224, 192, 210, 219, 190, 207, 217, 185, 203, 212, 188, 206, 216, 193, 210, 220, 188, 207, 217, 194, 212, 221, 200, 217, 229, 203, 221, 232, 201, 218, 228, 199, 218, 226, 210, 226, 236, 207, 225, 235, 211, 227, 238, 208, 225, 236, 205, 223, 233,
   212, 228, 240, 218, 235, 244, 218, 234, 244, 217, 235, 244, 225, 239, 249, 223, 240, 249, 222, 239, 248, 220, 236, 246, 213, 231, 242, 222, 235, 248, 216, 232, 243, 217, 233, 244, 226, 242, 249, 241, 251, 253, 240, 251, 253, 241, 253, 254, 243, 252, 253, 255, 254, 254, 253, 255, 255, 254, 255, 255, 255, 255, 255,
   255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255, 251, 254, 254, 254, 255, 255, 248, 255, 254,
   241, 252, 254, 232, 248, 253, 230, 245, 252, 237, 252, 253, 236, 250, 252, 214, 230, 241, 231, 246, 251, 229, 245, 253, 210, 224, 239, 186, 202, 219, 192, 208, 226, 174, 190, 213, 158, 176, 203, 169, 189, 218, 166, 187, 216, 187, 206, 234, 185, 204, 233, 190, 208, 235, 189, 207, 232, 188, 206, 233, 183, 202, 230,
   178, 196, 225, 178, 196, 225, 181, 198, 226, 182, 200, 227, 182, 197, 224, 184, 200, 225, 197, 212, 232, 202, 217, 236, 206, 220, 238, 202, 216, 233, 212, 227, 240, 210, 225, 236, 235, 249, 254, 236, 247, 253, 245, 254, 254, 245, 253, 253, 245, 254, 254, 241, 252, 253, 240, 252, 255, 238, 252, 253, 237, 250, 253,
   239, 252, 254, 234, 247, 252, 239, 252, 254, 245, 254, 254, 245, 255, 253, 241, 253, 253, 240, 253, 255, 242, 254, 253, 247, 255, 254, 246, 255, 254, 246, 255, 254, 244, 255, 254, 239, 252, 254, 244, 255, 254, 242, 253, 254, 240, 253, 253, 239, 253, 253, 243, 254, 253, 246, 254, 254, 246, 255, 255, 248, 255, 254,
   248, 254, 254, 242, 255, 255, 239, 254, 253, 238, 252, 254, 237, 251, 254, 236, 250, 254, 237, 251, 255, 238, 250, 254, 234, 248, 254, 231, 246, 253, 232, 242, 251, 229, 242, 250, 229, 239, 249, 226, 239, 247, 223, 236, 244, 219, 232, 240, 212, 224, 233, 209, 222, 230, 204, 217, 225, 196, 208, 216, 190, 201, 209,
   181, 193, 201, 173, 186, 194, 170, 183, 191, 160, 172, 181, 138, 149, 158, 104, 114, 121,  66,  73,  80,  40,  47,  49,  18,  23,  26,   3,   5,   7,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,
     1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,
    99, 116, 126,  92, 109, 119,  99, 115, 125,  95, 112, 122,  95, 112, 123, 106, 123, 133,  96, 114, 124, 100, 119, 130,  99, 116, 126,  95, 111, 123,  95, 111, 123, 101, 118, 130, 110, 129, 138, 114, 130, 142, 110, 129, 138, 123, 141, 152, 130, 148, 158, 135, 154, 162, 137, 155, 165, 144, 163, 172, 141, 160, 169,
   151, 170, 179, 161, 180, 187, 170, 186, 196, 176, 195, 203, 180, 197, 206, 175, 194, 204, 184, 200, 210, 184, 202, 213, 188, 206, 216, 189, 208, 216, 190, 208, 217, 197, 216, 225, 190, 209, 219, 189, 207, 218, 180, 198, 209, 170, 188, 199, 157, 176, 189, 146, 165, 178, 147, 165, 179, 136, 156, 171, 147, 166, 179,
   148, 168, 180, 149, 168, 181, 149, 168, 178, 153, 171, 181, 162, 181, 190, 169, 187, 196, 167, 186, 196, 170, 188, 198, 166, 184, 195, 161, 178, 191, 175, 193, 203, 173, 191, 201, 184, 202, 211, 188, 206, 214, 190, 209, 217, 201, 218, 228, 208, 224, 235, 203, 220, 229, 197, 214, 224, 184, 203, 212, 182, 199, 210,
   179, 197, 208, 189, 207, 218, 197, 214, 224, 201, 218, 229, 205, 222, 231, 209, 226, 237, 211, 227, 238, 203, 221, 230, 197, 216, 225, 193, 211, 221, 200, 218, 226, 207, 224, 233, 203, 222, 231, 199, 216, 227, 203, 221, 230, 216, 233, 242, 221, 234, 245, 222, 239, 247, 218, 235, 245, 220, 237, 246, 221, 238, 246,
   225, 241, 247, 230, 245, 251, 225, 240, 249, 216, 232, 242, 233, 247, 251, 229, 244, 249, 232, 246, 249, 234, 246, 249, 239, 251, 253, 244, 253, 253, 251, 255, 254, 249, 254, 254, 245, 255, 254, 254, 254, 254, 253, 255, 255, 253, 255, 255, 252, 255, 255, 252, 255, 255, 253, 255, 255, 255, 255, 255, 255, 255, 255,
   255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 254, 254, 255, 255, 255, 255, 255, 255, 253, 255, 255, 254, 255, 255, 254, 255, 255, 253, 255, 255, 236, 254, 254, 238, 249, 253, 228, 244, 252, 234, 248, 254, 237, 251, 254, 225, 241, 249,
   232, 246, 252, 223, 237, 250, 187, 203, 220, 180, 197, 218, 153, 172, 201, 146, 168, 201, 127, 149, 192, 177, 199, 231, 167, 190, 225, 158, 181, 219, 166, 189, 226, 165, 187, 222, 162, 186, 221, 180, 202, 236, 174, 194, 228, 170, 191, 226, 177, 197, 230, 172, 194, 226, 173, 192, 224, 172, 193, 223, 191, 206, 231,
   198, 214, 237, 202, 218, 236, 194, 210, 228, 203, 218, 236, 200, 216, 229, 221, 236, 246, 239, 251, 254, 238, 251, 253, 240, 252, 253, 239, 252, 254, 236, 248, 252, 237, 249, 252, 234, 247, 252, 237, 249, 252, 235, 249, 252, 233, 248, 253, 239, 252, 255, 239, 252, 254, 240, 253, 255, 240, 253, 253, 243, 254, 254,
   244, 255, 254, 248, 255, 254, 243, 254, 254, 245, 254, 254, 243, 254, 254, 241, 254, 254, 243, 254, 254, 236, 250, 254, 237, 249, 254, 240, 253, 254, 240, 252, 254, 241, 254, 254, 250, 254, 254, 252, 255, 254, 246, 255, 254, 242, 254, 254, 240, 255, 254, 238, 251, 254, 237, 251, 253, 238, 252, 254, 241, 254, 254,
   239, 252, 255, 238, 251, 254, 235, 249, 254, 236, 247, 254, 233, 246, 254, 230, 243, 251, 225, 238, 246, 222, 235, 243, 220, 232, 241, 216, 227, 235, 210, 223, 231, 207, 220, 228, 202, 215, 223, 194, 206, 214, 188, 201, 209, 184, 195, 203, 174, 187, 195, 165, 178, 186, 154, 166, 174, 125, 134, 143,  97, 108, 116,
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   164, 182, 192, 161, 179, 191, 165, 183, 194, 186, 203, 212, 187, 203, 213, 184, 202, 212, 184, 200, 210, 188, 206, 214, 191, 209, 217, 201, 219, 228, 193, 210, 221, 175, 194, 205, 183, 201, 210, 195, 212, 223, 192, 210, 219, 198, 214, 225, 197, 216, 224, 196, 215, 224, 195, 214, 222, 209, 225, 234, 211, 228, 238,
   207, 224, 234, 211, 228, 239, 209, 226, 237, 203, 221, 230, 202, 219, 228, 200, 219, 230, 207, 225, 236, 199, 218, 225, 201, 220, 228, 208, 224, 235, 209, 226, 236, 204, 221, 231, 203, 220, 229, 208, 225, 234, 206, 223, 233, 218, 235, 242, 216, 232, 243, 202, 220, 230, 210, 226, 236, 208, 224, 234, 225, 240, 245,
   241, 249, 252, 245, 253, 253, 245, 253, 253, 241, 252, 254, 244, 253, 253, 246, 254, 253, 249, 255, 254, 248, 255, 254, 253, 255, 254, 253, 255, 255, 240, 252, 254, 240, 251, 254, 252, 255, 255, 253, 255, 255, 255, 255, 255, 252, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
   255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255, 255, 255, 255, 252, 255, 254, 242, 254, 253, 250, 254, 253, 237, 250, 254, 226, 241, 251, 233, 248, 253, 234, 250, 254, 231, 247, 252, 221, 237, 251, 210, 227, 244, 182, 201, 225, 147, 167, 201, 135, 158, 199, 116, 141, 191,
   124, 153, 200, 123, 153, 202, 136, 164, 213, 151, 180, 226, 156, 182, 229, 161, 189, 232, 175, 199, 241, 161, 186, 231, 164, 190, 235, 182, 205, 243, 154, 179, 224, 171, 194, 233, 166, 190, 229, 180, 202, 235, 183, 203, 233, 183, 201, 230, 175, 195, 223, 181, 196, 222, 193, 209, 225, 201, 218, 231, 238, 251, 255,
   238, 250, 254, 237, 250, 252, 239, 251, 253, 237, 250, 252, 240, 252, 254, 235, 248, 252, 236, 249, 253, 234, 249, 251, 236, 249, 253, 235, 249, 252, 235, 248, 251, 234, 246, 251, 239, 252, 254, 247, 254, 255, 240, 254, 253, 243, 253, 253, 249, 253, 253, 250, 255, 255, 241, 253, 254, 239, 252, 254, 241, 253, 254,
   239, 253, 255, 237, 250, 255, 240, 253, 255, 241, 253, 253, 244, 254, 254, 253, 255, 255, 254, 255, 255, 251, 254, 255, 241, 254, 254, 241, 254, 253, 239, 250, 254, 238, 251, 254, 237, 250, 253, 237, 252, 254, 236, 251, 253, 236, 250, 254, 237, 250, 254, 233, 246, 254, 232, 245, 253, 230, 242, 250, 228, 240, 249,
   224, 237, 245, 221, 233, 242, 218, 231, 239, 215, 228, 236, 210, 223, 231, 207, 219, 227, 201, 213, 221, 194, 208, 215, 190, 201, 209, 180, 192, 200, 171, 184, 192, 165, 177, 186, 153, 164, 172, 133, 145, 153, 109, 116, 125,  79,  88,  96,  48,  55,  61,  33,  39,  45,  14,  17,  21,   1,   2,   3,   0,   0,   0,
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     0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  82,  97, 107,  90, 107, 116, 102, 118, 129, 110, 126, 136,  99, 116, 127,  91, 108, 118,  88, 105, 116,  98, 114, 125,  93, 110, 122,  93, 111, 123, 105, 121, 133,  89, 107, 118, 105, 122, 131, 108, 125, 136,
   105, 123, 135, 111, 129, 140, 127, 145, 155, 125, 144, 152, 142, 159, 168, 151, 169, 177, 154, 172, 181, 163, 180, 189, 168, 185, 194, 165, 184, 192, 168, 185, 196, 175, 193, 200, 173, 190, 201, 179, 197, 206, 188, 207, 216, 184, 201, 212, 193, 210, 220, 199, 216, 225, 202, 219, 227, 195, 214, 223, 193, 211, 221,
   181, 199, 210, 166, 183, 197, 164, 183, 196, 155, 173, 185, 159, 178, 189, 160, 178, 189, 156, 173, 185, 152, 168, 181, 143, 162, 175, 155, 173, 184, 163, 182, 192, 146, 166, 175, 147, 165, 177, 150, 167, 180, 140, 157, 170, 145, 164, 177, 158, 178, 187, 173, 192, 201, 186, 203, 212, 184, 201, 210, 190, 207, 216,
   198, 215, 224, 202, 219, 228, 199, 217, 225, 196, 214, 223, 190, 209, 217, 183, 201, 212, 177, 196, 206, 182, 200, 211, 193, 210, 219, 197, 214, 223, 201, 218, 228, 204, 221, 232, 216, 232, 241, 212, 229, 238, 208, 226, 234, 215, 232, 241, 216, 233, 243, 213, 229, 241, 210, 228, 236, 207, 223, 235, 210, 228, 237,
   206, 223, 232, 205, 222, 231, 208, 225, 235, 209, 226, 235, 210, 226, 237, 207, 223, 233, 212, 228, 237, 217, 233, 242, 200, 217, 228, 216, 232, 241, 223, 238, 243, 220, 237, 245, 223, 238, 245, 225, 240, 247, 220, 236, 243, 224, 239, 246, 241, 249, 252, 245, 254, 254, 248, 254, 254, 250, 254, 255, 246, 254, 254,
   245, 251, 252, 252, 254, 255, 253, 254, 255, 253, 254, 254, 249, 254, 254, 248, 254, 253, 250, 255, 254, 251, 255, 254, 251, 254, 254, 253, 255, 255, 252, 255, 255, 254, 255, 255, 254, 255, 255, 255, 255, 255, 254, 255, 255, 255, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255,
   242, 254, 254, 235, 250, 254, 241, 253, 255, 252, 254, 254, 248, 255, 253, 243, 253, 254, 228, 244, 252, 223, 239, 252, 206, 223, 238, 214, 231, 249, 158, 179, 208, 119, 141, 183, 104, 127, 178, 112, 139, 194, 104, 134, 189, 107, 139, 198, 119, 152, 211, 149, 180, 235, 161, 191, 242, 146, 178, 234, 174, 203, 250,
   163, 193, 245, 150, 183, 237, 148, 179, 234, 149, 180, 234, 159, 188, 239, 154, 183, 230, 160, 188, 233, 165, 191, 233, 166, 188, 227, 163, 185, 220, 164, 183, 215, 182, 200, 220, 195, 211, 227, 233, 248, 253, 242, 254, 254, 241, 253, 254, 239, 253, 255, 235, 248, 252, 236, 248, 253, 235, 247, 251, 238, 251, 252,
   240, 254, 254, 240, 254, 254, 240, 253, 254, 240, 252, 254, 240, 252, 253, 238, 253, 253, 241, 254, 253, 240, 253, 253, 240, 251, 254, 239, 249, 253, 239, 252, 254, 241, 253, 254, 245, 254, 254, 241, 255, 254, 240, 253, 253, 238, 251, 254, 241, 254, 255, 241, 253, 254, 244, 254, 254, 252, 255, 254, 251, 255, 254,
   247, 255, 254, 241, 255, 254, 243, 254, 254, 245, 254, 254, 242, 254, 255, 240, 253, 255, 238, 251, 253, 238, 251, 254, 234, 247, 255, 234, 247, 254, 233, 246, 254, 230, 244, 252, 227, 239, 247, 227, 240, 248, 224, 237, 245, 221, 234, 242, 219, 232, 240, 217, 230, 238, 213, 226, 234, 210, 222, 230, 206, 219, 227,
   200, 213, 221, 193, 205, 211, 184, 195, 203, 175, 187, 195, 171, 182, 190, 163, 174, 182, 147, 160, 168, 132, 142, 150, 102, 112, 121,  71,  79,  88,  57,  62,  69,  36,  43,  49,  19,  24,  27,   4,   6,   7,   2,   2,   2,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,
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    91, 108, 117, 101, 117, 127, 106, 123, 132, 100, 116, 128,  93, 110, 120,  93, 109, 119,  94, 110, 121, 104, 121, 131,  93, 111, 121, 100, 117, 129,  96, 112, 124, 105, 122, 133, 104, 123, 131, 103, 121, 131, 110, 128, 139, 121, 139, 150, 128, 146, 157, 132, 149, 159, 145, 162, 172, 152, 169, 178, 153, 171, 181,
   160, 179, 187, 156, 174, 183, 168, 185, 194, 174, 191, 201, 179, 196, 204, 184, 201, 211, 188, 205, 214, 187, 205, 216, 191, 208, 218, 190, 207, 217, 197, 214, 223, 196, 213, 222, 199, 216, 224, 193, 211, 221, 187, 205, 216, 182, 200, 210, 168, 186, 199, 168, 185, 197, 173, 191, 201, 173, 191, 202, 172, 190, 200,
   165, 182, 193, 143, 161, 174, 128, 147, 161, 131, 150, 164, 120, 138, 152, 128, 148, 162, 147, 165, 177, 157, 175, 186, 170, 188, 196, 177, 195, 204, 183, 200, 209, 170, 187, 199, 178, 195, 204, 184, 201, 212, 191, 208, 217, 182, 200, 210, 190, 207, 216, 202, 219, 228, 185, 204, 214, 186, 205, 214, 196, 213, 223,
   198, 216, 225, 196, 213, 223, 187, 205, 214, 192, 211, 219, 194, 212, 220, 205, 223, 231, 206, 223, 233, 211, 228, 237, 214, 231, 240, 215, 231, 243, 218, 233, 245, 209, 226, 237, 208, 225, 233, 210, 227, 237, 208, 225, 235, 210, 226, 236, 210, 226, 237, 208, 225, 235, 211, 228, 238, 213, 230, 238, 218, 233, 242,
   224, 238, 246, 225, 241, 248, 231, 246, 252, 228, 242, 248, 232, 248, 252, 237, 250, 253, 239, 252, 253, 239, 252, 253, 225, 241, 246, 223, 237, 245, 234, 248, 251, 241, 252, 254, 233, 248, 252, 230, 245, 253, 224, 240, 248, 232, 246, 252, 247, 253, 254, 248, 255, 254, 251, 254, 254, 249, 255, 254, 248, 254, 255,
   247, 255, 254, 247, 254, 254, 245, 254, 254, 245, 253, 254, 249, 255, 255, 250, 254, 254, 252, 255, 255, 249, 254, 254, 249, 255, 254, 253, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 254, 255, 255, 251, 255, 254, 229, 247, 253, 232, 250, 252, 249, 254, 253, 255, 255, 255, 244, 254, 253, 219, 235, 249,
   213, 230, 247, 190, 209, 225, 196, 214, 237, 149, 171, 206,  96, 119, 167,  98, 123, 178,  86, 113, 175, 100, 131, 195, 114, 145, 209, 128, 157, 222, 157, 185, 244, 164, 194, 249, 159, 189, 249, 157, 189, 250, 158, 191, 249, 149, 185, 245, 118, 156, 226, 125, 160, 230, 122, 158, 227, 147, 181, 238, 145, 179, 234,
   152, 183, 236, 155, 181, 231, 153, 178, 222, 147, 167, 209, 163, 182, 213, 186, 204, 224, 226, 241, 251, 236, 253, 253, 242, 254, 254, 235, 251, 253, 235, 247, 253, 235, 248, 251, 235, 247, 252, 237, 249, 253, 239, 253, 254, 239, 253, 253, 234, 247, 253, 240, 252, 254, 237, 250, 253, 238, 251, 253, 237, 251, 254,
   236, 250, 253, 239, 253, 253, 241, 253, 254, 243, 255, 254, 248, 255, 255, 247, 254, 253, 247, 255, 255, 239, 253, 253, 238, 250, 254, 239, 252, 254, 239, 253, 254, 247, 255, 254, 253, 255, 255, 254, 255, 255, 250, 255, 254, 246, 255, 254, 245, 254, 254, 250, 254, 254, 245, 255, 254, 241, 254, 254, 240, 253, 255,
   239, 252, 254, 235, 249, 254, 233, 246, 254, 231, 244, 252, 229, 243, 250, 225, 238, 246, 226, 239, 247, 222, 234, 243, 222, 235, 243, 218, 230, 240, 215, 228, 236, 214, 227, 235, 211, 224, 232, 209, 221, 229, 205, 217, 225, 196, 207, 216, 191, 203, 210, 185, 196, 204, 176, 188, 196, 171, 182, 189, 161, 172, 180,
   151, 163, 171, 123, 134, 142,  99, 108, 116,  86,  95, 104,  67,  77,  85,  52,  59,  66,  29,  34,  40,   7,   9,  12,   2,   3,   3,   1,   1,   2,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,
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    91, 108, 119,  89, 106, 114,  96, 112, 123,  97, 115, 125, 102, 121, 129, 105, 124, 133, 110, 127, 138, 108, 125, 137, 110, 128, 139, 122, 140, 150, 133, 151, 160, 140, 160, 168, 144, 162, 170, 146, 165, 175, 147, 165, 173, 161, 178, 188, 172, 189, 198, 174, 191, 201, 181, 198, 207, 180, 196, 206, 185, 203, 212,
   188, 206, 216, 185, 204, 212, 193, 210, 220, 202, 219, 228, 194, 212, 221, 195, 213, 222, 192, 209, 221, 187, 206, 215, 182, 200, 210, 177, 195, 206, 171, 190, 201, 163, 183, 193, 152, 171, 181, 155, 173, 184, 142, 161, 174, 129, 148, 164, 107, 126, 143,  95, 117, 130, 125, 143, 157, 135, 153, 166, 146, 164, 174,
   171, 188, 198, 187, 204, 212, 175, 193, 201, 182, 199, 208, 175, 194, 203, 169, 188, 199, 173, 190, 201, 185, 203, 212, 186, 204, 213, 195, 212, 221, 201, 218, 227, 201, 219, 228, 203, 220, 229, 194, 211, 220, 198, 215, 223, 201, 219, 227, 187, 205, 215, 185, 203, 213, 186, 204, 215, 185, 204, 213, 181, 199, 210,
   194, 212, 219, 201, 218, 227, 208, 224, 235, 220, 237, 245, 213, 230, 238, 204, 223, 232, 204, 220, 231, 200, 218, 227, 197, 213, 225, 199, 217, 226, 190, 206, 217, 192, 210, 220, 193, 210, 220, 187, 204, 213, 204, 222, 230, 220, 237, 244, 233, 247, 253, 222, 236, 245, 214, 231, 239, 217, 233, 239, 225, 240, 247,
   232, 246, 252, 224, 240, 247, 218, 236, 243, 229, 241, 247, 246, 252, 254, 250, 255, 254, 244, 253, 253, 233, 247, 251, 234, 248, 252, 232, 244, 252, 237, 251, 254, 240, 253, 254, 241, 254, 254, 234, 249, 253, 241, 253, 254, 245, 255, 254, 243, 254, 253, 243, 253, 253, 239, 252, 254, 235, 249, 253, 245, 253, 253,
   237, 251, 253, 237, 251, 253, 252, 254, 254, 254, 255, 255, 254, 255, 255, 255, 255, 255, 255, 255, 255, 252, 254, 255, 238, 253, 253, 238, 253, 254, 252, 255, 254, 251, 255, 255, 243, 254, 254, 208, 225, 241, 186, 205, 224, 168, 189, 212, 180, 200, 226, 136, 160, 199,  89, 115, 166,  83, 110, 170,  74, 101, 170,
    88, 118, 192, 124, 152, 219, 137, 161, 229, 166, 193, 251, 171, 199, 251, 173, 198, 252, 160, 190, 253, 171, 200, 252, 158, 191, 252, 130, 164, 240, 121, 159, 240, 106, 152, 233, 139, 175, 244, 150, 184, 245, 140, 172, 235, 137, 165, 226, 152, 177, 231, 140, 163, 213, 156, 178, 214, 188, 206, 227, 223, 239, 249,
   236, 253, 254, 239, 252, 254, 237, 251, 252, 238, 251, 253, 235, 249, 253, 234, 248, 253, 234, 244, 251, 237, 251, 253, 238, 251, 253, 238, 250, 254, 238, 251, 253, 235, 248, 253, 233, 246, 252, 232, 246, 253, 236, 248, 254, 236, 250, 253, 237, 251, 254, 238, 251, 254, 237, 251, 254, 238, 252, 254, 238, 251, 254,
   238, 251, 253, 241, 253, 254, 240, 254, 254, 242, 254, 254, 247, 255, 254, 253, 255, 255, 254, 255, 255, 254, 255, 255, 254, 255, 255, 253, 255, 255, 253, 255, 255, 247, 255, 254, 241, 254, 253, 241, 255, 254, 238, 251, 254, 235, 249, 254, 235, 248, 255, 230, 244, 252, 230, 243, 251, 227, 240, 249, 226, 239, 247,
   222, 235, 243, 222, 235, 243, 219, 232, 240, 215, 228, 236, 215, 228, 236, 212, 225, 233, 207, 220, 228, 203, 216, 224, 200, 212, 220, 196, 207, 215, 190, 202, 210, 184, 196, 203, 173, 184, 191, 157, 168, 176, 150, 162, 170, 142, 153, 161, 120, 131, 139, 105, 115, 124,  87,  97, 105,  65,  75,  81,  51,  58,  65,
    35,  40,  45,  17,  22,  25,   3,   5,   8,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,  90, 107, 116,  75,  92,  99,  83,  99, 109,  86, 102, 113,  88, 105, 115,  82,  99, 108,  86, 103, 113,  83, 100, 112,  86, 102, 114,  88, 104, 116,  95, 111, 123,  95, 113, 123,  99, 117, 128, 106, 124, 134,
   105, 123, 133, 109, 128, 138, 124, 142, 153, 125, 143, 154, 136, 154, 165, 134, 153, 162, 145, 163, 172, 153, 172, 180, 161, 179, 188, 165, 183, 191, 170, 188, 198, 174, 192, 201, 183, 201, 210, 186, 204, 212, 183, 201, 209, 189, 207, 215, 196, 214, 224, 192, 209, 221, 192, 209, 219, 187, 205, 214, 186, 204, 213,
   186, 204, 214, 179, 197, 208, 177, 195, 205, 170, 188, 198, 161, 178, 189, 160, 177, 189, 145, 163, 174, 130, 150, 164, 119, 139, 155, 109, 129, 144, 114, 134, 148, 123, 142, 155, 123, 140, 153, 139, 157, 167, 152, 170, 180, 163, 182, 190, 169, 187, 195, 174, 192, 201, 178, 197, 207, 169, 188, 196, 180, 199, 207,
   185, 203, 211, 192, 209, 218, 194, 211, 220, 190, 207, 216, 199, 215, 224, 200, 218, 227, 198, 216, 224, 207, 224, 232, 206, 224, 231, 198, 216, 225, 187, 205, 216, 176, 194, 205, 177, 195, 205, 190, 208, 218, 201, 219, 226, 207, 224, 234, 201, 218, 227, 206, 225, 233, 208, 224, 235, 200, 216, 228, 193, 212, 222,
   193, 212, 221, 188, 206, 216, 191, 209, 217, 192, 210, 219, 201, 219, 228, 190, 206, 217, 191, 208, 216, 195, 212, 221, 202, 220, 227, 205, 223, 230, 225, 239, 246, 221, 235, 244, 212, 229, 236, 212, 229, 236, 218, 235, 242, 225, 241, 248, 210, 227, 236, 213, 229, 239, 226, 242, 250, 235, 249, 252, 243, 252, 253,
   246, 253, 254, 242, 254, 254, 243, 254, 254, 253, 255, 254, 244, 254, 253, 241, 253, 254, 248, 253, 254, 245, 253, 253, 246, 254, 254, 237, 250, 254, 236, 249, 253, 240, 252, 252, 235, 251, 254, 231, 245, 252, 225, 239, 248, 233, 247, 253, 243, 252, 254, 245, 254, 255, 249, 255, 254, 254, 255, 255, 254, 255, 255,
   249, 255, 254, 243, 255, 254, 247, 255, 255, 250, 254, 254, 244, 254, 254, 236, 253, 254, 202, 218, 235, 136, 155, 183, 141, 162, 192, 141, 164, 196, 120, 144, 184, 105, 132, 184,  85, 111, 175,  76, 103, 178, 103, 132, 205, 121, 146, 218, 132, 157, 232, 158, 186, 249, 162, 191, 253, 165, 191, 251, 167, 197, 253,
   160, 189, 253, 171, 201, 252, 151, 181, 253, 139, 169, 250, 139, 174, 253, 139, 170, 246, 132, 160, 238, 135, 160, 236, 130, 152, 226, 132, 154, 219, 137, 156, 214, 134, 157, 203, 165, 185, 213, 216, 234, 248, 236, 252, 253, 237, 253, 254, 235, 249, 253, 234, 247, 251, 231, 244, 250, 228, 242, 249, 238, 249, 253,
   234, 247, 250, 238, 250, 253, 236, 250, 253, 237, 250, 252, 237, 250, 254, 239, 251, 253, 237, 251, 254, 234, 248, 253, 236, 251, 255, 237, 249, 254, 234, 247, 254, 239, 253, 254, 239, 251, 254, 240, 253, 253, 236, 248, 254, 238, 251, 253, 240, 253, 255, 245, 254, 254, 251, 255, 254, 254, 255, 255, 255, 255, 255,
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   201, 214, 222, 198, 211, 219, 196, 209, 217, 193, 207, 214, 186, 199, 206, 173, 185, 193, 152, 164, 172, 136, 147, 157, 125, 136, 145, 113, 124, 132,  99, 110, 117,  79,  88,  97,  62,  72,  75,  53,  60,  65,  47,  51,  57,  32,  36,  41,  12,  16,  20,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,
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    86, 104, 112,  90, 107, 116,  91, 106, 118,  89, 105, 116,  83, 100, 111,  80,  97, 106,  81,  97, 108,  88, 105, 114,  89, 105, 116,  96, 113, 124,  94, 110, 122,  94, 110, 122,  97, 115, 124, 103, 122, 131, 107, 126, 135, 122, 140, 150, 117, 135, 146, 120, 138, 149, 126, 144, 155, 126, 144, 155, 141, 159, 169,
   152, 170, 178, 160, 178, 186, 173, 190, 199, 172, 190, 198, 181, 198, 207, 184, 202, 211, 183, 200, 209, 181, 198, 207, 186, 203, 212, 193, 210, 219, 185, 203, 214, 189, 207, 216, 190, 207, 217, 188, 206, 214, 185, 203, 213, 175, 192, 203, 166, 183, 195, 143, 162, 174, 148, 165, 178, 154, 173, 183, 150, 168, 180,
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   187, 205, 213, 188, 206, 214, 192, 210, 221, 184, 202, 213, 178, 196, 207, 184, 202, 212, 191, 210, 219, 195, 212, 222, 201, 218, 227, 198, 215, 225, 203, 220, 229, 205, 221, 232, 199, 216, 225, 204, 222, 230, 199, 217, 225, 197, 215, 223, 194, 212, 221, 190, 208, 216, 198, 215, 224, 195, 211, 220, 191, 209, 216,
   194, 212, 219, 195, 213, 221, 197, 215, 221, 189, 207, 215, 197, 215, 223, 211, 227, 235, 227, 242, 249, 233, 249, 253, 220, 238, 246, 220, 236, 244, 215, 230, 238, 221, 235, 244, 214, 232, 238, 219, 235, 243, 232, 245, 253, 237, 252, 253, 244, 254, 254, 249, 254, 254, 242, 254, 253, 241, 253, 253, 253, 255, 255,
   254, 255, 255, 253, 254, 254, 234, 247, 252, 216, 232, 242, 220, 232, 240, 227, 241, 247, 219, 232, 244, 211, 228, 239, 240, 252, 254, 247, 254, 254, 249, 255, 254, 247, 255, 255, 247, 255, 254, 250, 254, 254, 246, 254, 254, 248, 254, 254, 242, 255, 253, 244, 255, 254, 253, 255, 255, 246, 255, 254, 205, 221, 237,
    84, 103, 137, 105, 123, 159, 108, 128, 166, 102, 126, 169,  73,  96, 152,  76, 101, 169,  87, 110, 184,  95, 124, 201, 107, 134, 213, 110, 138, 225, 121, 151, 237, 138, 170, 251, 147, 176, 252, 147, 178, 253, 148, 180, 252, 157, 187, 253, 146, 176, 254, 134, 162, 249, 133, 161, 248, 136, 166, 249, 133, 160, 243,
   138, 161, 240, 131, 152, 229, 125, 142, 214, 132, 149, 210, 121, 140, 194, 163, 184, 215, 217, 232, 249, 227, 244, 252, 236, 251, 254, 235, 250, 253, 237, 251, 252, 233, 247, 250, 235, 248, 254, 234, 248, 251, 233, 245, 250, 235, 247, 252, 229, 243, 248, 230, 242, 249, 235, 247, 252, 236, 249, 253, 231, 246, 252,
   235, 249, 254, 237, 249, 254, 230, 245, 252, 233, 245, 253, 234, 248, 255, 233, 247, 254, 237, 252, 254, 239, 252, 254, 240, 253, 254, 241, 255, 254, 246, 255, 255, 251, 255, 254, 254, 255, 255, 255, 255, 255, 253, 255, 255, 253, 255, 255, 253, 254, 254, 248, 255, 254, 243, 255, 255, 240, 253, 254, 238, 251, 255,
   238, 252, 255, 235, 249, 254, 233, 246, 254, 229, 242, 251, 227, 241, 249, 225, 241, 248, 225, 241, 247, 222, 235, 243, 223, 235, 243, 221, 233, 241, 216, 229, 237, 208, 221, 229, 208, 221, 229, 205, 218, 226, 201, 214, 222, 198, 211, 219, 196, 209, 217, 191, 204, 212, 186, 199, 205, 179, 190, 198, 167, 179, 187,
   145, 157, 166, 126, 136, 145, 102, 111, 120,  84,  94, 101,  79,  87,  94,  68,  76,  84,  55,  61,  67,  42,  46,  50,  19,  24,  29,  14,  19,  22,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,
     1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,  94, 112, 121,  90, 107, 116,  89, 105, 115,  85, 102, 112,  79,  95, 108,  81,  98, 109,  71,  88,  99,
    89, 103, 115,  95, 111, 124,  98, 116, 126,  88, 105, 117,  88, 104, 115,  95, 111, 122, 104, 122, 132, 112, 130, 140, 110, 128, 139, 112, 130, 141, 114, 132, 143, 124, 142, 153, 134, 153, 163, 147, 165, 173, 155, 173, 181, 168, 185, 194, 162, 179, 188, 168, 186, 194, 173, 191, 201, 175, 193, 202, 174, 192, 201,
   179, 197, 205, 187, 204, 213, 190, 207, 218, 189, 206, 217, 187, 205, 214, 187, 204, 214, 186, 203, 213, 167, 184, 196, 161, 179, 191, 139, 158, 171, 130, 149, 165, 140, 157, 171, 147, 166, 178, 145, 163, 173, 146, 166, 176, 138, 159, 171, 118, 138, 153, 102, 121, 135,  98, 117, 131, 102, 120, 133, 111, 128, 141,
    95, 115, 127,  97, 115, 128, 123, 142, 154, 139, 157, 169, 143, 160, 171, 164, 183, 191, 170, 188, 197, 184, 201, 210, 179, 196, 206, 175, 193, 202, 172, 190, 200, 169, 187, 198, 176, 195, 204, 194, 211, 220, 192, 211, 219, 201, 218, 227, 202, 219, 229, 195, 214, 222, 194, 212, 220, 197, 215, 224, 191, 209, 218,
   184, 201, 213, 192, 210, 218, 197, 213, 222, 198, 215, 224, 203, 219, 228, 192, 208, 220, 190, 208, 217, 186, 204, 213, 177, 196, 204, 176, 194, 204, 174, 192, 201, 167, 184, 195, 177, 194, 205, 185, 202, 211, 177, 195, 204, 178, 197, 206, 174, 191, 200, 185, 203, 211, 182, 200, 208, 189, 205, 214, 208, 226, 232,
   214, 229, 239, 210, 229, 237, 206, 224, 232, 215, 231, 238, 217, 231, 239, 221, 237, 244, 223, 237, 246, 230, 244, 251, 228, 242, 250, 241, 250, 253, 249, 254, 254, 251, 254, 254, 250, 254, 254, 252, 255, 255, 252, 255, 255, 249, 255, 255, 242, 254, 254, 231, 245, 249, 203, 219, 229, 193, 208, 219, 206, 222, 232,
   228, 242, 248, 235, 250, 254, 247, 254, 254, 254, 255, 255, 255, 255, 255, 241, 254, 254, 248, 254, 254, 249, 254, 254, 255, 255, 255, 249, 255, 254, 242, 255, 254, 253, 255, 255, 254, 254, 254, 240, 252, 254, 122, 138, 169,  56,  68, 110,  42,  55,  98,  53,  69, 116,  45,  64, 117,  66,  89, 153,  81, 104, 178,
    83, 109, 192,  81, 109, 199,  77, 107, 205,  89, 118, 223, 100, 135, 241, 109, 146, 250, 126, 162, 251, 126, 163, 253, 135, 168, 250, 140, 175, 253, 126, 157, 250, 125, 155, 248, 128, 158, 247, 120, 148, 240, 120, 147, 235, 124, 147, 229, 122, 141, 216, 126, 144, 208, 120, 137, 194, 157, 180, 213, 220, 237, 250,
   228, 244, 253, 232, 247, 253, 235, 247, 253, 234, 247, 252, 237, 249, 253, 237, 248, 252, 232, 246, 250, 233, 247, 251, 240, 252, 253, 232, 245, 250, 231, 245, 252, 228, 240, 249, 232, 245, 252, 230, 244, 251, 230, 243, 250, 230, 244, 250, 231, 245, 253, 237, 250, 255, 239, 253, 255, 239, 253, 255, 238, 252, 254,
   240, 253, 254, 238, 251, 254, 241, 255, 254, 244, 255, 255, 246, 254, 254, 252, 254, 254, 251, 255, 255, 249, 255, 254, 245, 255, 254, 247, 255, 254, 241, 254, 254, 241, 254, 254, 241, 254, 255, 239, 251, 254, 236, 249, 253, 233, 246, 255, 231, 245, 253, 229, 242, 252, 225, 238, 248, 225, 238, 246, 222, 235, 243,
   219, 233, 242, 219, 232, 240, 215, 229, 238, 214, 227, 235, 210, 223, 231, 206, 218, 226, 203, 216, 224, 201, 214, 222, 198, 211, 218, 192, 205, 213, 185, 197, 205, 179, 190, 198, 175, 186, 194, 171, 182, 190, 158, 171, 178, 138, 149, 157, 104, 114, 123,  85,  95, 102,  67,  76,  82,  63,  71,  78,  55,  61,  68,
    36,  40,  44,  22,  27,  32,  11,  16,  19,   2,   2,   2,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,
     0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,  87, 103, 112,  82,  99, 108,  80,  97, 106,  79,  96, 104,  75,  92, 102,  76,  93, 101,  77,  93, 104,  98, 115, 124,  90, 106, 119,  83,  99, 110,  83, 100, 111,  95, 111, 123, 108, 125, 136, 112, 128, 139,
   106, 124, 135, 110, 128, 139, 105, 123, 134, 115, 133, 144, 128, 146, 156, 143, 162, 170, 151, 170, 179, 151, 168, 177, 152, 170, 179, 162, 179, 188, 162, 179, 187, 161, 179, 188, 169, 186, 195, 172, 191, 199, 182, 199, 209, 177, 195, 203, 186, 203, 214, 186, 203, 213, 187, 206, 214, 188, 205, 215, 181, 200, 210,
   176, 194, 205, 157, 176, 189, 129, 148, 161, 133, 151, 165, 146, 164, 176, 150, 168, 180, 146, 164, 175, 145, 163, 175, 135, 154, 166, 118, 137, 152, 105, 125, 139,  94, 113, 126,  79,  97, 111,  73,  92, 104,  78,  98, 109,  88, 106, 120,  94, 113, 126,  94, 113, 125, 149, 166, 175, 167, 184, 193, 175, 193, 201,
   191, 208, 218, 187, 204, 212, 187, 204, 212, 184, 201, 210, 182, 200, 209, 190, 209, 216, 192, 209, 218, 196, 215, 222, 201, 218, 227, 204, 221, 230, 204, 222, 229, 196, 215, 223, 203, 220, 229, 207, 223, 232, 207, 224, 233, 201, 220, 228, 197, 215, 224, 198, 215, 224, 203, 220, 230, 199, 217, 225, 193, 211, 221,
   185, 203, 212, 173, 191, 200, 178, 196, 206, 180, 197, 207, 181, 198, 207, 189, 206, 216, 193, 210, 219, 173, 192, 201, 169, 187, 197, 176, 193, 203, 170, 188, 198, 174, 192, 200, 185, 202, 210, 196, 214, 222, 200, 217, 225, 199, 217, 224, 198, 216, 224, 211, 227, 235, 211, 227, 235, 210, 226, 235, 210, 227, 236,
   224, 239, 247, 233, 247, 253, 224, 239, 247, 242, 253, 253, 253, 255, 255, 254, 254, 255, 251, 255, 254, 249, 255, 254, 251, 254, 255, 251, 254, 254, 249, 254, 254, 246, 254, 255, 242, 253, 255, 233, 248, 253, 233, 246, 251, 239, 250, 253, 254, 255, 255, 252, 255, 254, 252, 255, 254, 239, 253, 254, 251, 255, 254,
   245, 254, 254, 251, 255, 254, 242, 254, 253, 247, 255, 254, 254, 255, 255, 254, 255, 255, 253, 255, 254, 229, 244, 252, 135, 152, 183,  59,  74, 116,  23,  37,  86,   4,  12,  68,  15,  22,  84,  45,  63, 135,  52,  70, 143,  36,  52, 127,  25,  38, 110,  29,  41, 132,  52,  76, 199,  77, 113, 237,  87, 127, 245,
    98, 138, 250, 111, 148, 252, 115, 146, 251, 106, 138, 246, 108, 137, 245, 108, 139, 241, 113, 142, 241, 106, 135, 231, 105, 132, 223, 108, 131, 211, 115, 134, 203, 118, 139, 195, 181, 206, 232, 222, 238, 253, 222, 241, 250, 232, 249, 253, 232, 245, 251, 233, 247, 253, 236, 248, 254, 237, 249, 252, 231, 245, 250,
   233, 245, 251, 234, 246, 249, 236, 248, 251, 232, 243, 250, 229, 241, 250, 232, 244, 252, 231, 245, 252, 233, 246, 253, 230, 246, 252, 232, 245, 253, 234, 249, 254, 239, 252, 254, 238, 251, 254, 243, 255, 254, 244, 255, 254, 241, 254, 254, 242, 255, 254, 242, 254, 253, 249, 255, 254, 250, 255, 254, 244, 254, 253,
   242, 254, 254, 241, 255, 254, 243, 255, 255, 241, 254, 254, 240, 253, 254, 240, 254, 253, 238, 250, 254, 235, 248, 254, 231, 244, 253, 229, 245, 252, 229, 242, 252, 227, 242, 250, 225, 239, 247, 221, 234, 242, 222, 235, 242, 221, 233, 241, 216, 231, 239, 213, 226, 234, 207, 222, 230, 203, 216, 224, 198, 211, 219,
   197, 209, 217, 191, 203, 211, 183, 196, 204, 181, 192, 199, 171, 183, 191, 157, 168, 176, 156, 167, 175, 159, 170, 178, 147, 158, 166, 119, 130, 138,  85,  95, 102,  59,  64,  69,  50,  56,  61,  37,  44,  48,  27,  33,  38,  16,  21,  26,   1,   3,   4,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
     1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,
    83,  98, 108,  81,  95, 105,  76,  92, 101,  80,  95, 104,  75,  92, 101,  74,  91, 101,  86, 103, 113,  93, 110, 119,  82,  98, 111,  82, 101, 109,  96, 112, 123, 107, 123, 132, 102, 119, 130,  99, 116, 126, 107, 125, 134, 109, 127, 138, 107, 125, 136, 122, 141, 151, 136, 155, 163, 145, 164, 173, 141, 160, 169,
   140, 159, 168, 146, 165, 175, 153, 173, 181, 157, 175, 183, 167, 184, 194, 168, 185, 195, 165, 183, 191, 177, 194, 204, 182, 199, 208, 180, 197, 207, 188, 205, 214, 181, 198, 208, 187, 206, 213, 181, 199, 210, 166, 184, 196, 150, 167, 182, 138, 157, 170, 113, 132, 145, 120, 138, 151, 129, 146, 160, 141, 159, 171,
   126, 144, 157, 115, 133, 146, 102, 121, 134,  92, 111, 123,  80,  99, 112,  74,  93, 104,  80,  98, 108,  83, 102, 114,  89, 108, 122,  97, 115, 128, 116, 133, 146, 135, 154, 164, 126, 144, 156, 153, 170, 180, 162, 180, 189, 176, 194, 201, 175, 192, 200, 173, 191, 200, 179, 196, 205, 187, 204, 212, 195, 212, 221,
   198, 215, 223, 196, 213, 221, 200, 217, 226, 200, 217, 225, 197, 215, 223, 210, 227, 236, 205, 222, 231, 204, 221, 230, 199, 217, 226, 191, 208, 217, 189, 207, 217, 180, 198, 207, 187, 203, 212, 196, 213, 221, 191, 208, 216, 178, 196, 206, 167, 186, 197, 157, 176, 186, 156, 174, 185, 150, 167, 179, 164, 182, 193,
   181, 199, 208, 180, 198, 206, 182, 199, 210, 167, 185, 195, 172, 189, 199, 178, 195, 205, 179, 196, 206, 194, 211, 219, 190, 207, 216, 182, 199, 207, 194, 212, 220, 195, 213, 222, 188, 204, 214, 197, 213, 222, 212, 227, 235, 221, 236, 244, 236, 249, 254, 236, 251, 253, 240, 252, 253, 250, 255, 255, 249, 254, 254,
   250, 253, 254, 251, 254, 255, 252, 254, 254, 243, 253, 254, 234, 246, 252, 240, 252, 254, 236, 250, 253, 236, 249, 254, 237, 250, 254, 248, 254, 254, 250, 255, 254, 252, 255, 254, 245, 253, 253, 248, 254, 254, 239, 254, 253, 246, 255, 254, 252, 254, 254, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
   253, 255, 254, 241, 254, 255, 186, 205, 232,  93, 113, 153,  46,  65, 117,  15,  27,  91,   0,   3,  73,   0,   0,  29,   0,   0,   3,   0,   0,   2,   0,   0,  34,   0,   0,  91,  32,  51, 191,  66, 103, 236,  84, 119, 241,  88, 123, 243,  91, 123, 245,  84, 112, 236,  88, 117, 235,  93, 119, 235,  88, 118, 228,
    86, 116, 218,  74, 104, 200,  85, 112, 197, 101, 126, 195, 144, 173, 217, 216, 238, 252, 227, 246, 254, 225, 241, 252, 231, 246, 252, 228, 243, 250, 233, 245, 252, 237, 250, 254, 236, 248, 252, 235, 249, 252, 227, 239, 247, 235, 247, 251, 232, 245, 251, 228, 240, 247, 228, 242, 249, 229, 242, 250, 231, 244, 252,
   236, 249, 253, 236, 251, 254, 237, 252, 255, 240, 252, 254, 240, 253, 253, 241, 253, 254, 248, 254, 254, 248, 255, 254, 242, 254, 254, 242, 254, 254, 245, 254, 254, 249, 255, 254, 247, 254, 255, 247, 255, 254, 244, 254, 254, 241, 254, 253, 242, 254, 254, 240, 254, 254, 241, 254, 254, 239, 251, 253, 233, 245, 254,
   231, 244, 253, 230, 245, 253, 230, 245, 252, 230, 242, 250, 225, 238, 247, 219, 234, 242, 217, 231, 240, 217, 231, 239, 216, 230, 237, 215, 229, 237, 214, 226, 234, 208, 221, 229, 205, 217, 225, 199, 211, 219, 195, 207, 215, 184, 197, 205, 176, 189, 197, 172, 184, 192, 171, 184, 192, 161, 172, 180, 151, 163, 170,
   143, 154, 162, 144, 155, 163, 133, 144, 151, 108, 117, 126,  79,  86,  95,  53,  59,  65,  48,  54,  58,  25,  31,  35,   8,  12,  15,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,
     0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   0,   1,   1,   1,   2,   1,   2,  81,  99, 107,  87, 104, 114,  85, 100, 112,  85, 102, 111,  80,  97, 109,  79,  96, 105,  87, 104, 115,
    81,  98, 107,  81,  98, 107,  92, 109, 119,  98, 114, 125,  93, 109, 118,  93, 109, 121,  96, 112, 123, 110, 127, 136, 119, 137, 147, 123, 141, 150, 130, 148, 159, 130, 149, 157, 131, 150, 159, 131, 150, 160, 139, 156, 167, 147, 165, 174, 153, 171, 179, 152, 169, 179, 152, 169, 180, 163, 180, 188, 177, 193, 203,
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    90, 110, 121,  92, 111, 124,  98, 116, 129,  96, 114, 126,  83, 102, 113, 108, 125, 138, 114, 132, 145, 121, 140, 152, 133, 151, 162, 151, 169, 179, 160, 179, 187, 169, 187, 196, 171, 188, 197, 174, 192, 201, 172, 189, 198, 176, 193, 202, 188, 205, 214, 185, 202, 211, 184, 203, 211, 189, 207, 215, 198, 215, 224,
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   167, 184, 193, 172, 189, 198, 168, 185, 194, 169, 186, 195, 180, 196, 207, 180, 197, 206, 175, 191, 201, 187, 205, 212, 199, 216, 224, 221, 237, 244, 233, 246, 251, 222, 238, 245, 233, 246, 249, 232, 247, 251, 235, 247, 252, 233, 248, 251, 233, 245, 248, 235, 245, 249, 234, 246, 251, 229, 243, 249, 237, 250, 253,
   247, 254, 253, 251, 254, 254, 250, 253, 254, 240, 253, 253, 249, 254, 254, 251, 255, 255, 250, 254, 254, 241, 254, 254, 247, 254, 255, 252, 255, 254, 252, 255, 255, 251, 255, 255, 255, 255, 255, 254, 255, 255, 254, 255, 255, 250, 255, 255, 235, 252, 255, 220, 241, 255, 167, 190, 224,  80, 105, 161,  40,  56, 127,
    10,  19,  97,   3,   4,  62,   2,   2,  33,   1,   1,  58,   1,   2,  94,   2,   3, 138,  50,  83, 223,  72, 103, 232,  74, 102, 235,  75,  99, 231,  72,  92, 229,  76, 102, 229,  77, 104, 225,  74, 103, 215,  52,  77, 177,  26,  54, 147,  80, 109, 187, 146, 180, 226, 209, 238, 255, 226, 245, 253, 227, 245, 252,
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   121, 139, 150, 116, 134, 145, 112, 131, 141, 118, 137, 144, 114, 132, 143, 122, 139, 151, 129, 148, 157, 136, 154, 163, 133, 151, 162, 130, 149, 160, 142, 160, 171, 150, 168, 177, 170, 187, 195, 171, 188, 197, 167, 184, 193, 177, 194, 203, 179, 196, 205, 183, 200, 209, 181, 199, 207, 169, 187, 197, 146, 165, 177,
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    86, 105, 118, 110, 128, 140, 123, 142, 153, 137, 156, 165, 144, 162, 172, 137, 154, 164, 148, 165, 176, 164, 181, 190, 163, 180, 189, 165, 183, 191, 172, 189, 199, 171, 190, 199, 179, 195, 205, 184, 201, 210, 186, 205, 213, 183, 201, 209, 175, 194, 203, 170, 188, 198, 150, 167, 179, 153, 171, 182, 157, 174, 185,
   162, 179, 191, 164, 182, 193, 164, 181, 191, 169, 188, 196, 162, 180, 191, 153, 171, 182, 157, 174, 187, 159, 177, 188, 164, 182, 192, 154, 172, 183, 158, 176, 186, 161, 178, 188, 155, 173, 184, 156, 175, 185, 161, 179, 190, 160, 178, 187, 157, 175, 184, 148, 164, 176, 152, 169, 182, 159, 175, 187, 163, 179, 191,
   187, 205, 214, 200, 217, 225, 199, 216, 224, 202, 218, 226, 191, 206, 217, 188, 204, 215, 212, 227, 237, 239, 251, 254, 228, 242, 249, 206, 223, 231, 195, 211, 221, 208, 224, 233, 215, 229, 239, 228, 242, 249, 238, 250, 252, 235, 248, 252, 228, 242, 249, 225, 240, 246, 234, 248, 253, 242, 253, 253, 232, 246, 251,
   230, 248, 252, 231, 249, 253, 251, 255, 254, 241, 254, 254, 237, 254, 254, 253, 255, 255, 254, 254, 254, 255, 255, 255, 252, 255, 254, 251, 255, 254, 238, 253, 253, 235, 254, 255, 183, 210, 244, 148, 179, 228,  79, 109, 180,  21,  36, 128,   1,   2,  94,   1,   2,  86,   0,   1, 109,   2,   3, 142,  45,  69, 211,
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   240, 251, 253, 236, 248, 252, 233, 245, 251, 231, 243, 250, 233, 245, 249, 236, 249, 253, 225, 238, 246, 230, 245, 251, 229, 247, 253, 232, 247, 254, 234, 247, 254, 238, 251, 253, 238, 252, 254, 242, 253, 254, 242, 253, 254, 241, 253, 254, 239, 252, 254, 237, 250, 254, 236, 249, 254, 238, 252, 253, 239, 253, 255,
   236, 250, 253, 237, 250, 253, 238, 251, 254, 239, 251, 254, 237, 251, 254, 236, 250, 254, 234, 247, 254, 231, 245, 253, 224, 237, 246, 224, 236, 246, 221, 237, 245, 223, 236, 245, 220, 236, 244, 217, 230, 239, 215, 231, 239, 214, 228, 237, 212, 225, 233, 211, 226, 232, 210, 223, 231, 208, 221, 229, 205, 218, 226,
   202, 215, 223, 195, 208, 215, 187, 200, 208, 184, 195, 203, 174, 188, 196, 165, 177, 184, 155, 167, 174, 142, 153, 161, 122, 134, 140, 117, 128, 136, 118, 129, 137, 111, 119, 128,  92, 101, 110,  63,  68,  73,  34,  39,  42,  16,  20,  24,   6,   9,  13,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,
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   123, 141, 152, 131, 149, 159, 130, 148, 159, 140, 158, 168, 151, 169, 178, 164, 181, 190, 155, 172, 181, 164, 181, 190, 172, 189, 198, 173, 190, 199, 167, 184, 193, 159, 178, 187, 136, 155, 168, 133, 151, 165, 133, 153, 165, 135, 154, 169, 126, 144, 157, 107, 125, 141,  89, 109, 122,  86, 106, 120,  80,  99, 112,
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   139, 158, 167, 144, 163, 172, 167, 184, 193, 174, 192, 200, 183, 200, 209, 180, 196, 206, 181, 198, 206, 181, 199, 208, 173, 191, 200, 175, 194, 202, 166, 184, 195, 154, 173, 184, 147, 166, 178, 148, 167, 178, 168, 187, 197, 172, 189, 201, 175, 193, 202, 176, 194, 202, 172, 190, 199, 165, 183, 193, 166, 184, 194,
   179, 196, 206, 179, 197, 206, 172, 190, 199, 180, 198, 207, 186, 203, 210, 191, 208, 216, 178, 196, 205, 176, 193, 202, 163, 182, 192, 144, 162, 173, 134, 153, 166, 135, 151, 165, 132, 150, 163, 130, 147, 161, 160, 175, 187, 206, 223, 231, 211, 228, 236, 217, 232, 241, 190, 207, 219, 177, 193, 206, 195, 211, 219,
   238, 250, 254, 236, 249, 253, 226, 242, 249, 210, 227, 236, 174, 190, 202, 191, 207, 217, 221, 237, 245, 231, 246, 252, 223, 238, 247, 201, 218, 227, 198, 214, 224, 221, 236, 245, 241, 254, 254, 239, 253, 254, 223, 239, 248, 230, 246, 253, 245, 254, 253, 243, 254, 254, 240, 254, 254, 244, 254, 254, 253, 255, 255,
   255, 255, 255, 253, 254, 254, 249, 255, 255, 242, 253, 253, 242, 254, 253, 219, 241, 254, 206, 233, 255, 166, 201, 245,  86, 123, 196,  10,  27, 125,   3,   3, 109,   2,   2, 129,  10,  15, 162,  39,  60, 199,  57,  81, 214,  60,  82, 214,  46,  60, 203,  50,  65, 205,  64,  86, 210,  67, 103, 209,  82, 137, 224,
   121, 173, 240, 158, 201, 249, 194, 226, 254, 215, 241, 254, 228, 250, 253, 231, 249, 253, 230, 248, 254, 225, 242, 249, 224, 237, 245, 229, 243, 249, 230, 244, 249, 235, 248, 252, 240, 253, 254, 240, 251, 253, 235, 247, 251, 234, 248, 252, 231, 244, 248, 233, 245, 251, 230, 242, 249, 237, 249, 252, 232, 245, 252,
   234, 246, 251, 228, 246, 253, 234, 249, 254, 234, 246, 254, 236, 247, 254, 234, 248, 254, 233, 248, 254, 235, 249, 254, 237, 250, 253, 239, 251, 254, 236, 249, 254, 233, 247, 253, 234, 248, 254, 240, 253, 253, 235, 251, 254, 238, 250, 254, 240, 252, 254, 239, 251, 254, 238, 253, 255, 239, 253, 254, 235, 249, 254,
   232, 243, 253, 231, 245, 252, 229, 241, 250, 227, 240, 249, 223, 240, 247, 222, 239, 246, 217, 232, 241, 216, 231, 239, 216, 229, 239, 213, 227, 235, 213, 227, 235, 213, 226, 234, 209, 222, 230, 209, 222, 230, 207, 219, 227, 199, 211, 219, 194, 204, 213, 186, 197, 205, 173, 186, 194, 166, 177, 184, 146, 158, 165,
   138, 149, 158, 127, 137, 146, 114, 125, 133, 104, 114, 122, 108, 117, 126,  99, 108, 117,  68,  75,  82,  42,  47,  51,  29,  34,  40,  11,  17,  21,   1,   2,   2,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
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   161, 179, 188, 162, 179, 188, 160, 178, 187, 149, 168, 178, 146, 165, 177, 142, 161, 173, 149, 168, 179, 147, 164, 177, 127, 147, 160, 119, 138, 152, 114, 134, 149, 111, 130, 146,  92, 111, 125,  77,  98, 110,  69,  87,  99,  60,  78,  91,  73,  91, 103,  54,  72,  83,  53,  69,  80,  56,  72,  84,  62,  78,  89,
    55,  72,  85,  65,  81,  91,  63,  79,  91,  83, 101, 111,  87, 105, 116, 107, 126, 138,  95, 113, 126,  86, 104, 117,  96, 115, 129, 109, 126, 139, 111, 131, 143, 101, 119, 132, 112, 131, 143, 128, 147, 159, 137, 155, 166, 154, 172, 181, 153, 170, 180, 148, 166, 176, 163, 180, 190, 170, 188, 197, 157, 175, 184,
   150, 168, 179, 166, 185, 193, 154, 172, 184, 165, 183, 193, 170, 187, 199, 175, 193, 203, 175, 193, 201, 188, 205, 214, 189, 206, 216, 168, 185, 196, 161, 181, 191, 177, 195, 203, 170, 188, 197, 176, 194, 201, 201, 218, 226, 190, 207, 216, 180, 197, 205, 175, 193, 202, 182, 200, 208, 174, 192, 200, 184, 202, 210,
   188, 204, 213, 184, 202, 209, 177, 195, 204, 188, 206, 214, 203, 218, 225, 197, 215, 224, 174, 192, 202, 160, 176, 187, 207, 224, 231, 217, 233, 241, 216, 232, 239, 203, 219, 229, 190, 206, 218, 196, 212, 220, 221, 236, 246, 227, 242, 248, 231, 247, 252, 221, 237, 244, 194, 210, 222, 202, 218, 227, 224, 240, 244,
   242, 253, 255, 235, 248, 253, 204, 219, 229, 192, 209, 218, 217, 235, 244, 242, 253, 254, 238, 250, 253, 220, 237, 247, 228, 243, 249, 244, 253, 254, 235, 251, 253, 233, 251, 254, 244, 254, 255, 253, 255, 254, 254, 254, 254, 243, 254, 254, 247, 255, 254, 254, 255, 255, 247, 254, 254, 235, 255, 253, 226, 252, 254,
   204, 234, 254, 161, 199, 249,  73, 108, 193,  17,  29, 140,  15,  20, 149,  31,  43, 175,  39,  58, 192,  50,  70, 201,  51,  69, 202,  32,  42, 189,  49,  66, 200,  66,  91, 206,  72, 122, 214, 129, 185, 249, 169, 213, 255, 187, 225, 254, 210, 238, 254, 224, 245, 253, 230, 250, 254, 232, 249, 254, 233, 248, 254,
   224, 238, 247, 226, 239, 248, 234, 248, 253, 233, 247, 252, 234, 246, 251, 236, 250, 253, 237, 249, 253, 236, 247, 250, 232, 245, 249, 230, 245, 251, 234, 246, 251, 227, 239, 246, 226, 239, 248, 231, 244, 252, 230, 243, 250, 228, 241, 248, 232, 245, 252, 232, 246, 252, 237, 249, 253, 236, 250, 253, 238, 251, 253,
   238, 250, 252, 241, 253, 254, 239, 251, 254, 237, 250, 253, 238, 250, 254, 232, 248, 254, 236, 249, 253, 237, 250, 254, 236, 251, 254, 237, 252, 255, 237, 252, 254, 239, 252, 255, 240, 254, 255, 239, 252, 254, 233, 247, 253, 233, 245, 253, 231, 244, 252, 229, 240, 249, 223, 239, 246, 224, 240, 247, 221, 236, 243,
   219, 234, 242, 219, 233, 239, 217, 228, 237, 215, 228, 237, 214, 227, 235, 212, 225, 233, 208, 221, 229, 208, 219, 227, 204, 216, 224, 200, 212, 220, 191, 202, 209, 181, 194, 201, 170, 182, 189, 154, 165, 172, 135, 145, 153, 126, 136, 144, 117, 128, 136,  99, 108, 117,  92, 101, 110,  93, 102, 111,  80,  90,  97,
    62,  69,  75,  40,  45,  50,  24,  32,  36,   5,   7,  10,   1,   1,   1,   0,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   2,   2,
     3,   7,  10,   9,  17,  25,  18,  28,  36,  28,  39,  47,  40,  50,  59,  51,  62,  71,  56,  69,  79,  72,  88,  95,  69,  86,  94,  72,  87,  96,  70,  86,  95,  73,  89,  98,  74,  90,  99,  80,  97, 106,  91, 108, 117,  92, 109, 119,  92, 108, 118,  97, 113, 124, 100, 116, 126, 100, 116, 129, 100, 117, 128,
    95, 114, 122,  92, 110, 119,  93, 109, 121, 100, 117, 128, 110, 127, 138, 119, 137, 147, 121, 139, 150, 115, 133, 144, 114, 131, 142, 134, 152, 162, 144, 162, 173, 152, 171, 180, 145, 163, 171, 152, 171, 179, 150, 168, 179, 163, 182, 190, 155, 173, 183, 153, 171, 182, 158, 176, 187, 155, 172, 184, 136, 155, 168,
   134, 153, 167, 146, 164, 176, 141, 158, 171, 130, 150, 164, 114, 133, 148,  99, 119, 133,  92, 112, 125,  71,  89, 102,  74,  91, 103,  68,  85,  98,  64,  80,  93,  53,  69,  80,  45,  62,  72,  42,  58,  69,  54,  70,  82,  69,  86,  96,  84, 100, 112,  84, 101, 112,  91, 108, 119,  98, 116, 126, 105, 122, 134,
   111, 129, 142, 107, 125, 138, 118, 136, 148, 133, 152, 165, 131, 149, 161, 141, 159, 170, 148, 166, 177, 147, 165, 177, 112, 130, 144, 114, 133, 145, 118, 136, 150, 120, 138, 151, 114, 132, 145, 114, 132, 147, 118, 139, 150, 134, 153, 165, 137, 156, 169, 145, 163, 175, 159, 177, 187, 164, 182, 192, 176, 194, 203,
   192, 210, 217, 204, 222, 229, 194, 211, 219, 188, 205, 213, 181, 198, 206, 183, 202, 209, 191, 209, 216, 200, 218, 225, 208, 224, 232, 217, 232, 239, 220, 236, 243, 216, 232, 240, 214, 230, 238, 220, 236, 244, 219, 232, 240, 207, 225, 232, 198, 215, 223, 193, 210, 218, 187, 203, 212, 175, 194, 202, 182, 200, 209,
   184, 201, 211, 218, 232, 241, 231, 244, 251, 230, 245, 253, 225, 240, 247, 226, 242, 247, 218, 233, 241, 228, 243, 248, 241, 254, 255, 239, 253, 253, 241, 254, 255, 231, 246, 252, 226, 240, 248, 241, 254, 254, 252, 254, 254, 249, 254, 255, 241, 253, 255, 214, 230, 241, 224, 236, 245, 240, 254, 254, 228, 243, 249,
   214, 231, 241, 237, 251, 254, 236, 252, 253, 234, 248, 253, 234, 252, 254, 239, 253, 253, 249, 255, 254, 244, 254, 253, 241, 254, 253, 255, 255, 254, 252, 255, 255, 232, 248, 254, 237, 254, 254, 224, 244, 253, 208, 236, 254, 187, 219, 253, 107, 142, 212,  53,  75, 169,  37,  52, 164,  43,  61, 180,  43,  61, 188,
    51,  71, 198,  45,  63, 192,  41,  50, 189,  49,  69, 195,  71, 102, 204, 100, 157, 236, 152, 197, 249, 187, 224, 254, 201, 234, 254, 215, 241, 254, 226, 246, 253, 229, 247, 254, 228, 244, 253, 228, 244, 251, 226, 240, 247, 228, 241, 248, 238, 250, 254, 231, 243, 250, 234, 247, 252, 239, 251, 253, 237, 249, 253,
   232, 243, 250, 230, 242, 251, 226, 238, 244, 225, 237, 244, 226, 239, 246, 230, 243, 251, 230, 242, 250, 227, 243, 250, 221, 237, 244, 223, 239, 247, 225, 237, 247, 228, 242, 249, 226, 241, 247, 228, 240, 247, 232, 246, 251, 236, 248, 253, 238, 250, 255, 237, 250, 254, 238, 251, 254, 236, 249, 254, 235, 247, 254,
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   224, 239, 246, 219, 232, 243, 210, 225, 234, 194, 211, 219, 198, 216, 223, 212, 226, 235, 212, 226, 234, 201, 218, 228, 200, 217, 225, 205, 221, 229, 210, 227, 234, 206, 221, 228, 225, 239, 244, 220, 234, 244, 207, 223, 232, 196, 213, 222, 226, 241, 249, 225, 240, 246, 217, 234, 244, 212, 228, 238, 213, 230, 240,
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   226, 246, 254, 218, 236, 251, 219, 236, 250, 215, 231, 245, 218, 234, 244, 219, 232, 242, 224, 237, 246, 229, 242, 250, 230, 243, 251, 224, 237, 244, 228, 242, 247, 221, 234, 242, 221, 234, 242, 223, 236, 244, 217, 229, 238, 220, 232, 240, 222, 235, 242, 227, 239, 247, 231, 245, 248, 233, 246, 251, 232, 246, 252,
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   183, 195, 203, 174, 185, 193, 163, 174, 182, 147, 159, 166, 131, 144, 152, 117, 128, 136,  95, 104, 113,  73,  81,  90,  64,  72,  79,  58,  66,  73,  50,  56,  61,  26,  33,  37,  13,  16,  21,   4,   6,   8,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,
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   165, 182, 192, 170, 189, 197, 155, 173, 182, 149, 167, 178, 147, 165, 176, 122, 140, 153, 107, 126, 139, 111, 130, 142, 105, 123, 134, 122, 140, 150, 109, 126, 139,  99, 117, 129, 110, 128, 139, 110, 128, 139,  83, 101, 112,  78,  95, 105,  91, 107, 117, 116, 132, 144, 113, 130, 142, 156, 174, 183, 182, 200, 206,
   189, 207, 214, 198, 215, 222, 188, 204, 213, 180, 198, 206, 176, 194, 202, 170, 188, 197, 170, 188, 195, 180, 198, 205, 202, 219, 226, 224, 238, 245, 220, 235, 240, 213, 227, 235, 217, 234, 242, 212, 227, 236, 200, 218, 225, 186, 202, 212, 200, 215, 224, 174, 191, 201, 178, 195, 205, 191, 208, 216, 183, 199, 208,
   207, 223, 230, 203, 220, 228, 192, 210, 219, 169, 186, 197, 166, 183, 193, 225, 241, 246, 214, 228, 238, 177, 195, 204, 188, 206, 215, 203, 220, 228, 187, 206, 215, 201, 219, 228, 213, 228, 238, 224, 240, 248, 213, 230, 238, 233, 247, 253, 239, 252, 254, 240, 253, 255, 243, 254, 254, 238, 252, 252, 232, 248, 253,
   226, 242, 253, 229, 246, 254, 202, 223, 243, 154, 176, 213, 106, 126, 180,  85, 103, 166,  76,  93, 161,  91, 115, 181,  97, 125, 189, 109, 143, 201, 147, 183, 230, 197, 223, 251, 198, 225, 248, 211, 233, 251, 221, 239, 253, 210, 228, 244, 219, 236, 247, 218, 235, 246, 213, 228, 238, 223, 237, 245, 230, 243, 251,
   236, 249, 254, 233, 246, 251, 233, 246, 252, 236, 250, 254, 230, 244, 250, 230, 242, 249, 228, 240, 247, 226, 237, 244, 219, 231, 238, 216, 229, 237, 217, 230, 238, 221, 234, 240, 223, 236, 244, 228, 242, 247, 227, 239, 245, 227, 240, 246, 228, 242, 248, 231, 244, 249, 232, 244, 252, 227, 240, 249, 223, 237, 245,
   223, 238, 247, 226, 243, 250, 228, 240, 249, 228, 243, 252, 234, 247, 255, 233, 248, 254, 233, 246, 253, 230, 247, 253, 230, 246, 253, 232, 245, 254, 234, 247, 255, 230, 243, 253, 231, 243, 252, 228, 243, 251, 229, 240, 250, 230, 241, 249, 228, 240, 249, 227, 240, 248, 223, 236, 245, 223, 234, 243, 222, 235, 243,
   220, 233, 241, 217, 230, 238, 215, 228, 236, 213, 227, 235, 213, 225, 234, 210, 223, 231, 206, 222, 229, 206, 219, 227, 204, 217, 225, 204, 217, 225, 204, 216, 224, 200, 212, 219, 194, 205, 214, 191, 203, 211, 188, 200, 208, 180, 193, 200, 170, 183, 190, 162, 173, 181, 143, 156, 164, 130, 141, 149, 111, 122, 130,
    86,  95, 103,  70,  78,  86,  61,  69,  76,  48,  55,  61,  32,  36,  41,   9,  14,  17,   2,   1,   2,   0,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   5,   8,  17,  25,  33,  34,  42,  49,  47,  55,  64,  64,  73,  83,
    81,  94, 105,  98, 115, 125, 113, 131, 143, 127, 144, 157, 137, 155, 167, 142, 160, 173, 144, 163, 176,  73,  88,  96,  71,  86,  95,  67,  82,  91,  69,  84,  92,  75,  90,  99,  86, 102, 111,  86, 103, 112,  76,  94, 102,  80,  97, 106,  86, 103, 112,  88, 105, 115,  89, 105, 116,  85, 101, 113,  98, 116, 127,
   102, 120, 131,  96, 115, 125,  93, 111, 122,  94, 112, 122,  90, 108, 118,  96, 113, 122, 100, 118, 130, 109, 127, 138, 112, 130, 140, 123, 141, 152, 131, 149, 159, 133, 151, 162, 143, 162, 172, 142, 160, 170, 137, 156, 167, 127, 146, 157, 127, 146, 158, 131, 151, 162, 141, 160, 171, 143, 162, 174, 149, 167, 177,
   144, 163, 175, 125, 145, 157, 125, 144, 156, 120, 137, 150, 116, 135, 147, 125, 144, 155, 126, 145, 157, 123, 143, 156, 121, 139, 152, 116, 134, 146, 107, 125, 138,  89, 107, 120,  72,  90, 100,  72,  88,  98,  73,  90,  99,  58,  73,  82,  44,  59,  68,  47,  62,  71,  51,  63,  72,  51,  65,  73,  56,  69,  78,
    53,  68,  77,  64,  79,  88,  74,  90,  99,  99, 116, 127, 113, 131, 140, 112, 127, 139, 101, 118, 128, 126, 144, 155, 156, 175, 183, 168, 186, 197, 179, 197, 204, 173, 190, 199, 154, 171, 180, 148, 165, 177, 151, 167, 179, 147, 165, 175, 146, 164, 176, 132, 151, 162, 131, 149, 162, 121, 140, 151, 102, 121, 134,
    96, 115, 128,  98, 116, 129,  90, 109, 121, 102, 121, 133, 114, 132, 143, 103, 120, 132,  84, 101, 113,  67,  84,  93,  62,  79,  88,  60,  77,  87,  69,  86,  96,  97, 114, 123, 122, 139, 150, 154, 172, 179, 160, 178, 185, 164, 181, 188, 183, 201, 209, 160, 177, 186, 140, 157, 168, 128, 145, 157, 146, 164, 174,
   186, 203, 212, 197, 215, 222, 203, 220, 227, 207, 225, 232, 207, 224, 231, 204, 221, 228, 159, 176, 186, 163, 181, 191, 159, 175, 188, 188, 206, 215, 184, 201, 210, 179, 195, 206, 169, 185, 197, 185, 201, 211, 208, 223, 231, 194, 210, 219, 189, 206, 216, 167, 184, 196, 202, 219, 228, 237, 249, 254, 217, 232, 240,
   186, 203, 214, 210, 227, 235, 192, 209, 220, 207, 225, 234, 217, 234, 244, 237, 251, 255, 223, 238, 247, 238, 252, 255, 240, 252, 253, 241, 254, 254, 239, 252, 255, 237, 250, 253, 236, 249, 253, 237, 252, 253, 223, 237, 250, 224, 239, 252, 195, 213, 232, 176, 194, 222, 133, 152, 191,  92, 107, 160, 105, 126, 180,
   115, 138, 188, 118, 150, 200, 151, 182, 222, 186, 211, 242, 185, 209, 234, 214, 235, 251, 217, 236, 252, 223, 240, 252, 214, 232, 244, 220, 236, 247, 211, 228, 237, 223, 237, 246, 224, 237, 245, 225, 238, 246, 238, 250, 254, 231, 245, 250, 238, 250, 255, 233, 246, 252, 228, 241, 248, 230, 242, 248, 225, 238, 245,
   228, 240, 246, 229, 241, 247, 230, 242, 248, 229, 241, 248, 227, 240, 246, 229, 242, 249, 229, 243, 248, 228, 241, 248, 230, 243, 251, 227, 239, 247, 226, 240, 247, 224, 236, 245, 220, 233, 241, 220, 235, 242, 219, 235, 244, 221, 236, 244, 227, 240, 248, 227, 240, 249, 228, 243, 252, 230, 243, 252, 229, 246, 253,
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     2,   2,   1,   0,   0,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   2,   3,   5,   6,  14,  22,  28,  31,  40,  46,  43,  51,  57,  60,  68,  77,  75,  86,  95,  93, 106, 118, 110, 126, 138, 125, 141, 154, 135, 152, 165, 143, 160, 173, 146, 165, 178, 149, 167, 183,
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   116, 134, 145, 115, 133, 144, 117, 135, 146, 130, 148, 159, 130, 147, 160, 126, 144, 156, 113, 133, 144, 121, 141, 152, 106, 126, 138, 120, 139, 152, 130, 149, 158, 143, 161, 172, 153, 171, 181, 135, 152, 164, 122, 140, 153, 118, 136, 149, 108, 128, 141, 115, 134, 146, 121, 140, 153, 126, 145, 156, 124, 142, 153,
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   197, 215, 224, 174, 191, 203, 198, 216, 224, 196, 213, 222, 178, 196, 206, 193, 209, 218, 205, 221, 230, 218, 234, 242, 221, 237, 245, 200, 217, 226, 200, 217, 226, 221, 236, 245, 233, 244, 250, 235, 245, 249, 230, 246, 253, 235, 250, 255, 229, 245, 253, 225, 241, 249, 235, 249, 254, 234, 249, 253, 215, 231, 239,
   243, 252, 252, 242, 250, 252, 233, 247, 251, 228, 241, 250, 227, 241, 247, 213, 227, 237, 231, 245, 251, 206, 223, 234, 207, 222, 236, 193, 209, 226, 168, 184, 207, 125, 143, 177, 100, 118, 158, 119, 141, 182, 120, 142, 183, 145, 169, 206, 179, 202, 228, 199, 222, 242, 206, 226, 245, 212, 231, 245, 224, 241, 253,
   224, 240, 251, 212, 228, 241, 222, 238, 246, 214, 230, 239, 219, 235, 243, 227, 241, 249, 226, 239, 247, 231, 242, 248, 226, 238, 246, 230, 242, 249, 237, 249, 253, 229, 241, 249, 220, 232, 239, 230, 243, 249, 230, 242, 248, 224, 235, 241, 229, 241, 246, 224, 237, 244, 230, 241, 249, 228, 241, 249, 227, 241, 248,
   227, 240, 247, 228, 242, 248, 230, 242, 248, 233, 245, 250, 231, 244, 251, 228, 240, 248, 225, 240, 248, 230, 243, 250, 234, 248, 254, 232, 247, 252, 227, 240, 247, 225, 239, 245, 225, 240, 248, 223, 239, 245, 221, 237, 244, 220, 236, 244, 223, 238, 246, 228, 241, 250, 228, 242, 250, 227, 240, 248, 223, 239, 246,
   224, 238, 247, 222, 236, 245, 220, 233, 241, 220, 234, 242, 221, 233, 242, 221, 232, 241, 218, 232, 240, 218, 231, 240, 212, 228, 235, 212, 225, 233, 211, 224, 232, 212, 223, 231, 208, 221, 229, 205, 219, 226, 203, 216, 224, 200, 213, 221, 199, 212, 220, 199, 212, 220, 193, 206, 214, 190, 203, 211, 189, 202, 210,
   184, 196, 204, 178, 191, 199, 170, 182, 190, 162, 174, 181, 152, 163, 172, 149, 160, 168, 141, 154, 161, 125, 136, 144, 111, 121, 129,  91, 101, 109,  79,  89,  98,  64,  72,  79,  43,  53,  56,  22,  32,  36,   9,  12,  14,   2,   3,   6,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,
     4,   5,   8,  14,  20,  24,  27,  34,  38,  41,  48,  55,  55,  63,  72,  73,  82,  91,  86,  98, 109, 101, 116, 128, 119, 134, 147, 131, 147, 160, 141, 157, 171, 145, 164, 176, 149, 168, 181, 153, 171, 184,  67,  85,  92,  60,  77,  84,  69,  84,  92,  70,  85,  94,  79,  96, 105,  77,  94, 103,  88, 105, 114,
    82,  99, 108,  84, 101, 111,  79,  96, 105,  85, 102, 111,  83, 100, 109,  90, 107, 117,  84, 101, 111,  90, 107, 116,  86, 102, 114,  90, 108, 119,  88, 106, 117,  90, 108, 119,  98, 116, 127, 110, 128, 139, 116, 134, 145, 113, 131, 142, 124, 142, 153, 122, 139, 151, 115, 133, 146, 101, 119, 132, 102, 121, 132,
   110, 128, 141, 116, 134, 145, 133, 150, 162, 131, 148, 158, 127, 146, 158, 118, 138, 150, 109, 127, 140, 106, 125, 137, 115, 134, 147, 119, 139, 150, 106, 125, 137, 108, 128, 140, 119, 138, 149, 117, 136, 147, 118, 138, 148, 119, 137, 148, 106, 124, 135,  92, 112, 123,  92, 111, 122,  94, 111, 123,  83, 101, 112,
    69,  87,  95,  46,  61,  70,  37,  52,  61,  37,  52,  61,  32,  43,  53,  37,  47,  58,  54,  69,  77,  81,  97, 106,  86, 103, 111,  73,  88,  97,  50,  64,  72,  38,  49,  58,  45,  59,  67,  48,  62,  72,  52,  67,  76,  54,  71,  78,  60,  76,  85,  74,  90, 100,  98, 115, 127, 121, 140, 150, 132, 150, 161,
   151, 169, 179, 162, 181, 190, 166, 185, 193, 163, 180, 192, 156, 173, 183, 150, 168, 180, 130, 148, 162, 119, 137, 149, 109, 127, 139,  90, 107, 118,  69,  85,  97,  74,  90,  99,  63,  81,  89,  68,  84,  92,  77,  94, 104, 115, 132, 140, 161, 175, 185, 124, 142, 151,  91, 108, 120, 122, 138, 150, 125, 144, 154,
   140, 158, 168, 127, 145, 157, 132, 149, 162, 127, 144, 156, 141, 159, 170, 172, 189, 199, 209, 225, 233, 183, 201, 208, 186, 204, 211, 211, 227, 236, 212, 229, 237, 226, 242, 250, 209, 226, 233, 231, 245, 252, 208, 225, 233, 212, 227, 237, 221, 237, 245, 204, 220, 229, 204, 221, 228, 219, 234, 242, 225, 240, 248,
   232, 244, 252, 228, 241, 250, 214, 228, 237, 226, 241, 249, 232, 246, 252, 248, 255, 254, 242, 251, 252, 231, 248, 252, 234, 247, 253, 230, 244, 252, 226, 242, 248, 230, 244, 247, 222, 235, 245, 223, 235, 244, 211, 228, 235, 211, 227, 236, 213, 229, 238, 212, 226, 236, 184, 198, 209, 171, 187, 199, 220, 234, 242,
   177, 193, 206, 181, 195, 212, 189, 205, 221, 159, 173, 197, 129, 146, 176, 115, 133, 166, 124, 141, 175, 122, 142, 175, 152, 171, 197, 187, 208, 227, 198, 218, 235, 218, 234, 250, 212, 230, 241, 220, 236, 248, 217, 233, 244, 222, 238, 247, 217, 232, 241, 208, 225, 233, 216, 231, 239, 221, 235, 242, 223, 236, 244,
   217, 228, 238, 220, 232, 241, 223, 236, 243, 232, 245, 248, 235, 247, 251, 219, 231, 238, 224, 237, 245, 226, 239, 246, 229, 240, 246, 216, 228, 235, 220, 231, 239, 224, 237, 243, 232, 246, 252, 229, 240, 248, 229, 242, 249, 231, 245, 251, 226, 240, 247, 224, 236, 245, 224, 237, 245, 224, 239, 246, 226, 240, 247,
   230, 243, 248, 233, 247, 250, 233, 247, 253, 233, 245, 252, 233, 247, 254, 234, 247, 253, 230, 246, 253, 229, 245, 252, 228, 241, 251, 221, 237, 246, 221, 236, 245, 217, 234, 241, 216, 230, 238, 214, 231, 238, 211, 228, 235, 211, 226, 234, 210, 226, 233, 212, 229, 236, 216, 231, 239, 217, 231, 239, 213, 229, 237,
   214, 226, 235, 210, 226, 232, 209, 222, 230, 209, 222, 230, 208, 221, 229, 205, 218, 226, 202, 218, 225, 202, 215, 223, 199, 212, 220, 196, 209, 217, 196, 209, 216, 191, 204, 212, 190, 202, 210, 187, 200, 207, 179, 192, 201, 177, 189, 198, 169, 181, 189, 165, 176, 184, 153, 164, 172, 140, 151, 159, 132, 145, 152,
   124, 135, 143, 114, 124, 132, 103, 113, 121,  88,  97, 106,  59,  68,  75,  42,  50,  54,  32,  38,  43,  20,  27,  32,   1,   2,   3,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   4,   6,   7,  14,  18,  21,  30,  34,  39,  43,  48,  53,  54,  62,  69,  67,  76,  85,  83,  92, 102,  97, 110, 121,
   114, 128, 140, 125, 141, 155, 135, 152, 165, 141, 158, 171, 148, 166, 179, 151, 170, 184, 152, 171, 184,  56,  74,  81,  65,  82,  89,  66,  82,  90,  68,  84,  93,  77,  94, 103,  87, 105, 113,  87, 104, 113,  85, 102, 111,  88, 105, 114,  84, 101, 111,  80,  97, 106,  81,  98, 106,  88, 105, 116,  85, 101, 113,
    83,  99, 107,  77,  94, 104,  86, 105, 115,  87, 105, 116,  97, 116, 127, 101, 118, 129, 106, 125, 136, 108, 126, 137, 114, 132, 143, 110, 128, 139, 112, 130, 141,  98, 117, 131,  97, 117, 129,  99, 118, 130, 106, 125, 137, 112, 130, 142,  99, 117, 131, 104, 122, 135, 100, 118, 131,  93, 112, 125, 106, 125, 138,
   100, 119, 131,  88, 108, 122,  89, 108, 121, 104, 124, 138, 113, 132, 143, 102, 122, 133,  96, 115, 128,  97, 116, 128,  89, 108, 120,  89, 107, 120,  89, 109, 120,  89, 107, 118,  92, 111, 122,  67,  85,  96,  46,  62,  70,  40,  55,  64,  35,  48,  58,  36,  48,  58,  49,  62,  72,  75,  90,  99,  81,  97, 105,
    62,  76,  85,  35,  47,  55,  21,  31,  40,  28,  41,  49,  34,  47,  56,  40,  52,  61,  46,  58,  67,  48,  63,  71,  51,  67,  75,  63,  79,  87,  64,  80,  91,  94, 111, 123, 119, 137, 148, 143, 160, 171, 147, 165, 176, 158, 177, 186, 166, 183, 192, 155, 173, 181, 159, 177, 186, 153, 171, 181, 124, 142, 153,
   103, 121, 132,  86, 103, 115,  71,  87,  98,  69,  86,  96,  74,  89,  98,  96, 112, 122, 139, 155, 164, 155, 171, 180, 104, 120, 127,  56,  71,  79,  78,  95, 106, 111, 128, 138, 119, 137, 148, 144, 162, 173, 155, 173, 182, 160, 178, 187, 163, 181, 191, 171, 189, 198, 200, 216, 224, 209, 227, 233, 183, 201, 210,
   172, 188, 198, 187, 206, 214, 220, 234, 243, 220, 233, 242, 218, 233, 240, 231, 246, 252, 220, 236, 244, 228, 241, 251, 221, 236, 244, 221, 237, 245, 207, 225, 232, 218, 232, 240, 216, 232, 240, 222, 238, 245, 229, 241, 249, 226, 240, 247, 223, 235, 245, 222, 236, 242, 234, 247, 251, 226, 242, 248, 224, 238, 246,
   217, 233, 240, 228, 240, 249, 225, 241, 248, 210, 227, 234, 210, 225, 233, 196, 212, 220, 212, 226, 235, 217, 233, 242, 209, 225, 233, 205, 222, 230, 175, 191, 203, 135, 151, 168, 192, 207, 220, 191, 206, 217, 164, 179, 195, 173, 187, 204, 180, 195, 211, 130, 144, 169, 121, 135, 164, 120, 135, 164, 118, 133, 163,
   141, 159, 184, 147, 164, 187, 160, 180, 199, 192, 210, 225, 204, 222, 235, 202, 219, 230, 215, 232, 242, 216, 232, 240, 222, 237, 244, 223, 238, 246, 223, 237, 244, 218, 233, 241, 222, 235, 243, 224, 238, 243, 221, 233, 241, 205, 220, 228, 217, 229, 238, 223, 237, 245, 223, 236, 243, 215, 228, 236, 219, 231, 238,
   221, 235, 241, 214, 229, 235, 221, 235, 242, 225, 237, 243, 226, 239, 245, 230, 242, 249, 224, 236, 244, 222, 236, 244, 224, 237, 245, 221, 235, 244, 219, 231, 241, 218, 232, 241, 220, 235, 244, 222, 239, 248, 229, 244, 251, 230, 244, 251, 228, 242, 249, 230, 242, 248, 229, 241, 248, 227, 240, 247, 228, 243, 249,
   227, 241, 250, 225, 241, 249, 226, 241, 249, 229, 242, 251, 225, 240, 249, 227, 238, 249, 224, 238, 247, 222, 237, 245, 219, 233, 241, 213, 227, 236, 209, 225, 232, 209, 224, 232, 207, 223, 230, 205, 222, 228, 203, 218, 224, 201, 218, 225, 199, 214, 222, 201, 214, 222, 201, 213, 221, 201, 215, 223, 198, 214, 221,
   201, 214, 222, 198, 210, 218, 192, 205, 213, 193, 205, 213, 189, 202, 210, 184, 198, 206, 183, 196, 203, 177, 191, 198, 174, 187, 195, 167, 180, 188, 165, 176, 184, 159, 172, 180, 150, 161, 169, 137, 147, 155, 120, 130, 139, 108, 118, 127,  96, 107, 115,  86,  95, 104,  70,  78,  86,  41,  47,  53,  24,  32,  37,
    14,  24,  29,   7,  11,  14,   4,   5,   6,   3,   4,   5,   5,   7,   9,   8,  11,  13,  19,  26,  29,  33,  41,  44,  48,  55,  62,  59,  68,  75,  69,  77,  86,  82,  93, 101,  95, 106, 116, 104, 119, 131, 118, 134, 146, 128, 145, 157, 136, 153, 166, 143, 162, 174, 151, 169, 181, 154, 173, 186, 153, 172, 186,
    56,  74,  81,  63,  82,  89,  65,  82,  89,  72,  89,  97,  82,  99, 108,  86, 103, 112,  89, 106, 115,  84, 101, 110,  89, 106, 115,  79,  96, 105,  78,  95, 104,  86, 103, 112,  86, 103, 114,  77,  94, 103,  71,  87,  98,  74,  90,  99,  91, 109, 117,  98, 116, 127, 100, 117, 129, 107, 123, 134, 106, 124, 135,
   102, 120, 131, 101, 119, 130, 104, 123, 134, 103, 122, 134, 103, 122, 135, 104, 124, 135, 107, 125, 138, 105, 125, 136, 105, 124, 137, 101, 120, 133,  96, 115, 128, 101, 119, 132, 102, 122, 133, 103, 121, 134, 100, 119, 132,  95, 117, 129, 105, 124, 137,  98, 117, 129,  90, 109, 121,  91, 110, 123,  95, 114, 127,
    98, 117, 129, 111, 128, 141,  94, 111, 125,  85, 103, 114,  70,  88,  99,  80,  99, 110,  60,  76,  87,  50,  65,  74,  49,  66,  75,  55,  72,  80,  71,  85,  95,  77,  93, 102,  68,  82,  91,  46,  60,  68,  29,  41,  49,  29,  41,  50,  36,  48,  57,  41,  53,  63,  44,  56,  66,  53,  66,  75,  47,  59,  69,
    52,  66,  75,  58,  74,  83,  57,  72,  80,  67,  84,  94,  90, 107, 118, 116, 134, 145, 132, 149, 160, 129, 148, 158, 144, 162, 171, 164, 182, 190, 157, 175, 184, 128, 145, 156, 113, 132, 142,  89, 107, 119,  82,  99, 111,  78,  94, 105,  86, 103, 112, 116, 132, 141, 157, 174, 181, 133, 150, 158,  74,  90,  97,
    37,  53,  62,  49,  64,  74,  80,  97, 108,  96, 113, 125, 115, 133, 144, 122, 140, 151, 156, 174, 183, 156, 173, 182, 177, 195, 203, 200, 219, 224, 216, 231, 239, 216, 231, 238, 204, 222, 229, 191, 209, 217, 186, 203, 211, 207, 225, 231, 211, 226, 234, 215, 230, 238, 235, 249, 253, 233, 245, 253, 233, 248, 253,
   216, 231, 239, 219, 235, 243, 218, 234, 241, 222, 237, 244, 220, 235, 242, 205, 221, 228, 218, 232, 241, 218, 233, 241, 202, 219, 226, 205, 221, 228, 215, 228, 236, 218, 233, 241, 198, 214, 222, 189, 206, 213, 197, 214, 221, 210, 226, 233, 224, 239, 245, 197, 213, 221, 190, 206, 214, 170, 186, 195, 177, 192, 203,
   197, 213, 222, 217, 232, 240, 198, 215, 223, 172, 188, 201, 165, 180, 195, 182, 197, 208, 169, 184, 199, 168, 182, 199, 162, 178, 194, 154, 167, 187, 118, 131, 157, 126, 139, 166, 121, 134, 162, 112, 126, 153, 133, 150, 174, 172, 188, 206, 155, 172, 189, 180, 196, 211, 185, 202, 213, 185, 203, 213, 209, 226, 235,
   219, 234, 242, 220, 232, 242, 225, 240, 247, 229, 242, 250, 227, 241, 249, 228, 241, 249, 239, 252, 254, 227, 241, 246, 218, 235, 241, 215, 230, 238, 220, 233, 241, 217, 230, 238, 221, 234, 241, 212, 226, 233, 214, 229, 237, 211, 225, 233, 209, 222, 230, 218, 232, 238, 223, 237, 243, 229, 241, 247, 225, 238, 246,
   221, 234, 242, 216, 230, 239, 216, 233, 241, 220, 233, 243, 218, 233, 242, 226, 241, 249, 228, 243, 251, 227, 242, 251, 232, 248, 254, 233, 247, 254, 231, 245, 253, 231, 245, 254, 229, 244, 252, 224, 239, 248, 224, 240, 248, 224, 239, 246, 226, 239, 246, 224, 239, 247, 225, 241, 248, 225, 237, 246, 222, 235, 244,
   221, 235, 243, 221, 234, 243, 218, 232, 241, 218, 232, 241, 218, 232, 240, 214, 226, 236, 214, 227, 236, 211, 226, 233, 209, 222, 230, 207, 221, 228, 204, 219, 226, 201, 216, 224, 199, 215, 222, 195, 212, 218, 194, 208, 215, 191, 204, 212, 186, 200, 208, 183, 196, 204, 182, 195, 203, 178, 191, 199, 174, 187, 195,
   170, 184, 191, 168, 181, 189, 161, 173, 181, 159, 170, 178, 153, 165, 173, 148, 159, 167, 142, 154, 162, 128, 139, 148, 109, 120, 128,  89,  99, 107,  87,  96, 105,  77,  86,  95,  64,  72,  79,  40,  45,  50,  25,  32,  37,  19,  25,  30,  20,  26,  30,  16,  23,  28,  22,  28,  33,  29,  34,  39,  39,  45,  51,
    47,  55,  61,  60,  68,  76,  69,  78,  87,  81,  92, 100,  92, 104, 114, 104, 117, 129, 114, 130, 142, 125, 141, 153, 134, 151, 163, 142, 161, 173, 148, 167, 180, 157, 174, 187, 156, 175, 188, 156, 175, 190,  53,  72,  79,  55,  72,  79,  67,  84,  91,  76,  92, 100,  80,  97, 106,  82,  99, 108,  91, 107, 116,
    88, 106, 114,  82,  99, 109,  71,  88,  97,  79,  95, 105,  78,  95, 104,  77,  94, 104,  68,  84,  94,  63,  80,  89,  73,  89,  99,  89, 108, 116,  99, 117, 128,  97, 115, 126,  94, 111, 122,  95, 114, 124,  99, 118, 128, 113, 130, 141, 106, 125, 136, 107, 127, 139, 106, 125, 136, 108, 126, 140, 103, 122, 134,
   100, 120, 132, 108, 126, 139, 106, 124, 137, 114, 131, 144, 111, 129, 142,  98, 118, 130, 102, 120, 134,  99, 117, 130, 103, 123, 136, 104, 123, 136, 103, 123, 136, 102, 123, 136, 120, 138, 152, 110, 129, 141, 114, 131, 144,  96, 113, 126,  80,  98, 112,  88, 106, 119,  87, 104, 117,  77,  96, 107,  76,  93, 104,
    64,  80,  92,  79,  96, 105,  87, 104, 113,  76,  92, 102,  59,  75,  84,  44,  58,  67,  38,  50,  58,  48,  61,  70,  53,  68,  76,  56,  71,  79,  39,  51,  60,  39,  51,  59,  44,  55,  64,  48,  61,  69,  50,  63,  72,  53,  67,  76,  61,  76,  84,  68,  85,  93,  84, 101, 110, 105, 122, 133, 126, 145, 155,
   129, 147, 158, 129, 147, 157, 124, 143, 154, 124, 143, 155, 107, 124, 138,  94, 114, 126, 103, 121, 132, 115, 131, 142, 142, 160, 168, 153, 169, 177, 108, 124, 131,  63,  79,  87,  49,  65,  73,  52,  68,  78,  65,  80,  90,  82,  98, 109, 115, 132, 144, 129, 147, 158, 133, 151, 162, 138, 157, 167, 157, 175, 183,
   177, 194, 201, 196, 213, 220, 216, 231, 239, 209, 225, 233, 209, 227, 234, 207, 225, 232, 201, 218, 226, 203, 220, 228, 203, 222, 229, 196, 211, 218, 228, 243, 249, 234, 247, 251, 230, 243, 251, 227, 242, 247, 206, 222, 229, 211, 225, 234, 213, 228, 235, 212, 228, 234, 193, 210, 217, 175, 192, 199, 206, 221, 228,
   198, 213, 220, 161, 178, 187, 175, 192, 199, 183, 200, 208, 192, 209, 216, 162, 179, 188, 163, 180, 191, 165, 182, 191, 216, 231, 239, 198, 216, 224, 209, 225, 232, 172, 188, 199, 136, 153, 167, 145, 162, 175, 194, 210, 219, 198, 214, 223, 159, 175, 188, 168, 184, 198, 179, 195, 208, 168, 182, 196, 154, 169, 186,
   152, 166, 185, 147, 161, 181, 124, 137, 160, 126, 139, 165, 112, 125, 151, 105, 119, 145, 125, 138, 163, 141, 157, 177, 166, 182, 199, 181, 197, 213, 183, 199, 211, 171, 188, 198, 184, 201, 212, 209, 225, 233, 212, 227, 236, 217, 230, 238, 222, 235, 243, 230, 242, 249, 229, 242, 250, 236, 249, 253, 247, 253, 254,
   241, 254, 254, 236, 248, 252, 228, 240, 248, 224, 237, 244, 217, 231, 239, 210, 226, 233, 212, 226, 233, 206, 223, 230, 211, 224, 232, 209, 222, 230, 216, 229, 237, 221, 233, 241, 224, 238, 244, 227, 239, 246, 228, 241, 249, 223, 237, 245, 215, 231, 239, 218, 234, 242, 220, 234, 244, 220, 234, 245, 224, 239, 248,
   227, 242, 251, 229, 245, 253, 234, 247, 254, 233, 247, 255, 235, 247, 255, 233, 248, 254, 231, 247, 254, 233, 247, 254, 229, 244, 252, 229, 245, 253, 224, 239, 248, 220, 235, 243, 220, 233, 242, 217, 233, 240, 216, 230, 238, 215, 230, 238, 216, 230, 239, 216, 228, 237, 213, 229, 236, 212, 226, 235, 211, 223, 233,
   210, 224, 233, 208, 221, 229, 202, 219, 226, 202, 217, 225, 201, 216, 224, 200, 216, 224, 201, 217, 224, 201, 213, 221, 198, 211, 219, 196, 209, 217, 191, 204, 212, 187, 200, 208, 182, 195, 203, 176, 189, 197, 177, 189, 197, 168, 181, 190, 158, 171, 179, 156, 167, 175, 147, 160, 168, 144, 155, 163, 142, 155, 163,
   134, 145, 154, 119, 130, 138, 101, 111, 119,  88,  97, 106,  83,  92, 101,  72,  80,  87,  52,  58,  64,  29,  35,  40,  19,  24,  29,  21,  27,  32,  30,  37,  41,  38,  42,  49,  43,  49,  55,  56,  62,  68,  65,  74,  83,  76,  86,  95,  88,  97, 106,  96, 109, 118, 105, 120, 128, 114, 127, 140, 123, 139, 151,
   132, 149, 160, 140, 157, 169, 148, 165, 178, 153, 171, 184, 157, 175, 188, 158, 177, 191, 159, 177, 190,  49,  68,  75,  56,  75,  81,  63,  79,  86,  65,  82,  89,  71,  88,  95,  78,  94, 102,  81,  97, 106,  78,  95, 103,  75,  92, 102,  77,  93, 102,  74,  90,  99,  66,  83,  92,  61,  78,  87,  63,  79,  88,
    73,  90,  99,  83, 100, 109,  92, 110, 120,  95, 114, 123,  87, 105, 115,  99, 118, 127,  99, 117, 129, 112, 129, 140, 112, 130, 141, 110, 128, 139, 109, 127, 139, 112, 131, 142, 102, 121, 134, 113, 132, 145, 104, 123, 135, 107, 126, 138,  99, 118, 131, 101, 120, 133,  96, 116, 128, 104, 126, 136, 111, 129, 143,
   116, 134, 147, 114, 133, 146, 123, 142, 155, 126, 145, 158, 137, 156, 168, 130, 148, 161, 114, 132, 144, 107, 126, 140,  99, 119, 131, 102, 122, 134, 116, 134, 147, 114, 132, 145,  99, 118, 128,  91, 108, 120,  95, 112, 124,  94, 113, 121,  86, 103, 112,  75,  92, 101,  59,  75,  83,  72,  88,  97,  55,  68,  77,
    52,  66,  74,  36,  50,  59,  35,  46,  55,  37,  49,  58,  37,  50,  58,  37,  50,  58,  34,  47,  55,  34,  48,  55,  41,  52,  62,  37,  50,  60,  51,  64,  73,  56,  71,  79,  66,  81,  93,  84, 101, 110, 104, 120, 132, 126, 145, 154, 130, 148, 159, 137, 154, 165, 144, 162, 173, 158, 175, 186, 166, 184, 192,
   138, 156, 163,  93, 110, 118,  57,  74,  82,  59,  74,  83,  70,  86,  95,  78,  95, 104,  84, 100, 111,  97, 114, 125, 117, 134, 145, 138, 156, 165, 134, 151, 161, 162, 180, 188, 159, 176, 185, 163, 180, 189, 189, 206, 213, 214, 228, 236, 208, 226, 233, 203, 220, 227, 210, 228, 235, 200, 217, 226, 191, 209, 217,
   186, 203, 211, 194, 212, 219, 224, 238, 245, 214, 229, 237, 208, 222, 230, 211, 226, 233, 199, 216, 223, 196, 213, 220, 194, 211, 218, 182, 199, 207, 176, 193, 200, 151, 169, 178, 160, 176, 186, 181, 198, 205, 152, 168, 178, 141, 160, 171, 155, 173, 183, 175, 193, 201, 197, 214, 223, 175, 191, 202, 157, 176, 184,
   188, 204, 213, 202, 220, 228, 198, 215, 223, 187, 204, 212, 170, 187, 198, 153, 171, 182, 173, 190, 202, 177, 193, 204, 166, 182, 193, 151, 167, 182, 158, 174, 187, 159, 175, 189, 142, 156, 175, 150, 166, 183, 146, 162, 181, 123, 137, 160,  99, 113, 137, 109, 123, 149, 101, 114, 140, 112, 126, 153, 116, 132, 156,
   134, 150, 168, 166, 182, 198, 174, 190, 204, 179, 196, 207, 195, 213, 220, 178, 194, 206, 198, 215, 223, 200, 216, 224, 190, 205, 213, 214, 227, 236, 222, 235, 243, 223, 235, 244, 226, 240, 246, 240, 250, 251, 235, 248, 252, 240, 252, 254, 237, 250, 253, 233, 246, 251, 229, 241, 248, 221, 235, 242, 213, 227, 234,
   209, 224, 231, 216, 229, 237, 212, 225, 233, 216, 229, 237, 223, 233, 241, 227, 240, 246, 225, 239, 246, 226, 238, 246, 223, 237, 245, 222, 238, 244, 222, 237, 245, 225, 240, 249, 229, 246, 252, 228, 244, 252, 229, 246, 253, 230, 246, 253, 230, 245, 253, 232, 247, 254, 231, 247, 254, 229, 245, 253, 230, 245, 252,
   229, 245, 252, 225, 241, 249, 225, 240, 248, 227, 240, 249, 222, 237, 247, 222, 236, 245, 221, 237, 244, 219, 234, 243, 213, 227, 236, 208, 222, 231, 207, 222, 230, 209, 223, 231, 208, 221, 229, 208, 221, 230, 209, 222, 231, 207, 220, 228, 203, 220, 227, 199, 214, 221, 199, 213, 221, 199, 212, 220, 198, 211, 218,
   198, 211, 219, 193, 206, 214, 192, 205, 213, 190, 203, 211, 185, 198, 206, 178, 191, 199, 172, 185, 193, 171, 182, 190, 164, 175, 186, 156, 169, 177, 145, 157, 165, 143, 155, 163, 141, 154, 162, 133, 146, 155, 133, 144, 152, 125, 137, 146, 115, 126, 134, 104, 113, 122,  95, 104, 113,  83,  92, 101,  72,  82,  90,
    61,  69,  77,  48,  54,  59,  42,  49,  54,  48,  54,  60,  59,  65,  72,  66,  74,  82,  75,  83,  92,  86,  96, 106,  96, 107, 115, 106, 117, 126, 112, 127, 136, 118, 132, 144, 125, 140, 152, 131, 149, 160, 138, 156, 167, 145, 164, 174, 153, 170, 183, 156, 174, 188, 159, 178, 191, 161, 180, 195, 161, 179, 192,
    45,  64,  71,  48,  67,  72,  50,  68,  74,  60,  74,  81,  64,  80,  87,  67,  84,  90,  67,  83,  90,  71,  88,  95,  77,  94, 103,  74,  91,  99,  67,  84,  94,  66,  82,  91,  73,  90, 100,  76,  93, 103,  84, 100, 112,  85, 103, 112,  82, 100, 110,  78,  97, 107,  88, 106, 117, 100, 118, 129, 108, 126, 138,
   107, 126, 136, 110, 127, 139, 104, 125, 137,  94, 113, 125,  94, 112, 123, 114, 132, 145, 116, 135, 148, 116, 134, 147, 121, 140, 153, 108, 126, 139, 106, 125, 138, 106, 124, 137, 129, 148, 160, 137, 155, 167, 145, 163, 175, 137, 156, 168, 137, 155, 168, 142, 161, 173, 135, 154, 166, 136, 154, 168, 131, 150, 163,
   119, 138, 152, 124, 141, 154, 130, 147, 160, 126, 145, 158, 128, 145, 158, 112, 130, 141, 113, 130, 142, 106, 124, 135,  84, 103, 112,  72,  88, 100,  60,  78,  85,  53,  68,  75,  46,  62,  70,  47,  60,  69,  42,  58,  65,  43,  55,  65,  39,  52,  60,  35,  47,  57,  31,  43,  52,  28,  41,  51,  30,  43,  51,
    39,  52,  60,  49,  61,  71,  43,  58,  67,  42,  53,  63,  46,  60,  68,  50,  63,  73,  64,  79,  88,  92, 109, 118, 134, 151, 161, 151, 168, 177, 174, 190, 197, 179, 196, 203, 153, 171, 179, 112, 130, 140,  82, 101, 111,  72,  89,  98,  66,  84,  92,  61,  76,  85,  61,  75,  84,  70,  85,  93,  69,  83,  93,
    74,  89,  98,  89, 106, 115, 135, 153, 164, 129, 147, 156, 132, 150, 161, 144, 162, 171, 191, 208, 214, 206, 222, 229, 193, 211, 218, 197, 213, 220, 192, 208, 217, 198, 216, 223, 177, 195, 202, 168, 184, 192, 182, 199, 207, 210, 225, 233, 206, 219, 226, 175, 191, 199, 175, 191, 200, 162, 180, 187, 170, 186, 195,
   169, 185, 193, 166, 182, 192, 131, 148, 160, 141, 158, 170, 133, 149, 162, 141, 158, 170, 147, 165, 175, 155, 173, 183, 154, 171, 183, 182, 199, 208, 198, 216, 224, 218, 232, 241, 178, 195, 204, 188, 204, 214, 182, 198, 205, 205, 222, 229, 213, 228, 236, 192, 209, 218, 159, 175, 186, 161, 179, 190, 153, 169, 182,
   174, 190, 202, 168, 184, 198, 159, 175, 189, 143, 159, 175, 147, 163, 180, 133, 148, 168, 145, 160, 180, 113, 130, 152, 124, 139, 162,  88, 103, 128, 104, 118, 145, 101, 116, 143, 103, 117, 144, 117, 132, 157, 130, 148, 168, 159, 176, 192, 155, 171, 187, 177, 194, 206, 197, 214, 223, 184, 201, 210, 201, 218, 227,
   185, 201, 210, 178, 194, 202, 188, 202, 212, 202, 217, 225, 210, 223, 231, 214, 227, 235, 229, 243, 249, 230, 243, 250, 235, 248, 252, 233, 245, 250, 230, 243, 247, 232, 244, 251, 231, 244, 250, 228, 241, 249, 211, 224, 232, 201, 215, 223, 206, 220, 228, 213, 225, 233, 219, 231, 239, 225, 237, 244, 228, 241, 249,
   227, 239, 247, 220, 234, 242, 221, 236, 244, 224, 240, 248, 227, 242, 251, 227, 242, 250, 230, 246, 253, 230, 246, 253, 230, 244, 253, 229, 243, 252, 228, 243, 252, 229, 244, 252, 228, 242, 251, 228, 243, 251, 226, 241, 249, 224, 239, 248, 223, 238, 246, 220, 236, 244, 219, 233, 243, 217, 232, 241, 218, 234, 241,
   215, 230, 239, 213, 228, 237, 214, 229, 238, 211, 225, 233, 209, 225, 232, 207, 224, 230, 206, 221, 228, 200, 215, 223, 201, 216, 224, 199, 213, 221, 195, 212, 219, 199, 213, 220, 197, 210, 218, 194, 209, 216, 195, 208, 216, 195, 207, 215, 192, 205, 213, 188, 201, 209, 186, 198, 206, 177, 190, 198, 170, 182, 190,
   164, 178, 186, 158, 170, 180, 151, 164, 172, 145, 158, 166, 142, 156, 163, 143, 154, 162, 137, 150, 159, 137, 148, 156, 128, 140, 149, 116, 127, 135, 110, 121, 129, 111, 121, 130,  95, 106, 114,  89,  99, 107,  84,  93, 102,  76,  85,  93,  72,  80,  87,  69,  79,  87,  77,  85,  94,  85,  94, 103,  96, 106, 116,
   107, 119, 128, 117, 129, 138, 123, 137, 146, 128, 143, 152, 131, 147, 159, 135, 151, 163, 141, 159, 170, 146, 164, 175, 152, 171, 181, 157, 173, 187, 162, 179, 192, 165, 181, 195, 164, 183, 198, 163, 182, 195,  42,  61,  68,  41,  60,  65,  43,  62,  67,  49,  64,  70,  53,  68,  75,  57,  72,  77,  61,  76,  83,
    69,  85,  92,  67,  83,  90,  66,  82,  89,  67,  83,  92,  66,  82,  90,  68,  85,  95,  75,  92, 101,  78,  95, 105,  74,  91, 100,  82, 101, 111,  95, 113, 124, 110, 128, 139, 104, 122, 133, 104, 123, 134, 112, 130, 141, 112, 130, 141, 104, 124, 136,  97, 115, 129, 104, 122, 134, 124, 142, 154, 121, 139, 152,
   125, 143, 156, 129, 146, 159, 114, 132, 145, 115, 134, 147, 133, 152, 165, 130, 149, 162, 130, 148, 162, 141, 158, 171, 136, 155, 166, 140, 160, 171, 146, 164, 176, 137, 156, 168, 140, 158, 171, 133, 153, 166, 133, 151, 164, 139, 157, 168, 142, 161, 172, 119, 138, 150, 116, 134, 145, 117, 135, 146, 102, 121, 132,
   107, 124, 135,  84, 102, 114,  62,  78,  90,  59,  75,  86,  54,  69,  78,  49,  64,  73,  41,  55,  64,  39,  53,  61,  35,  46,  56,  33,  45,  54,  27,  39,  49,  26,  38,  48,  33,  43,  52,  34,  47,  56,  36,  48,  56,  35,  47,  56,  40,  51,  61,  40,  54,  63,  49,  62,  72,  60,  74,  83,  82, 100, 108,
   128, 145, 155, 153, 170, 180, 157, 173, 182, 146, 164, 172, 137, 155, 164, 124, 142, 152, 108, 126, 138, 107, 125, 134,  78,  95, 103,  75,  91, 100,  67,  82,  91,  55,  68,  78,  50,  62,  71,  49,  62,  70,  56,  68,  77,  91, 109, 118, 114, 131, 142, 113, 131, 140, 122, 141, 149, 187, 204, 211, 195, 209, 217,
   162, 179, 187, 176, 193, 201, 169, 186, 195, 174, 191, 199, 173, 189, 199, 148, 166, 174, 160, 177, 185, 180, 197, 204, 188, 202, 211, 134, 150, 160, 118, 135, 146, 125, 144, 155, 125, 143, 154, 138, 153, 166, 119, 137, 149, 132, 150, 161, 142, 160, 172, 163, 181, 192, 143, 160, 172, 143, 161, 172, 165, 181, 192,
   175, 193, 201, 164, 180, 190, 198, 216, 223, 208, 226, 233, 196, 212, 220, 196, 212, 221, 201, 217, 226, 190, 207, 215, 196, 214, 221, 194, 210, 219, 174, 191, 200, 163, 180, 191, 163, 180, 193, 158, 175, 188, 157, 173, 186, 171, 187, 201, 159, 175, 189, 135, 151, 168, 143, 159, 178, 118, 136, 156, 136, 153, 174,
   101, 118, 140, 103, 118, 142,  82,  97, 124,  78,  93, 119,  95, 113, 140,  90, 105, 132, 116, 132, 158, 124, 142, 162, 153, 170, 188, 161, 177, 193, 166, 182, 195, 190, 206, 218, 209, 226, 235, 208, 225, 233, 197, 213, 221, 185, 203, 210, 190, 205, 213, 197, 212, 220, 199, 216, 223, 205, 219, 227, 222, 236, 243,
   218, 229, 237, 227, 241, 246, 222, 234, 241, 229, 242, 248, 232, 245, 250, 233, 245, 249, 232, 245, 250, 230, 242, 249, 218, 232, 239, 209, 224, 232, 203, 217, 225, 213, 226, 234, 215, 229, 237, 215, 228, 236, 218, 233, 241, 216, 232, 241, 220, 236, 244, 224, 240, 247, 228, 242, 252, 228, 243, 251, 226, 242, 250,
   228, 244, 252, 229, 242, 251, 229, 241, 250, 226, 241, 250, 227, 242, 251, 226, 241, 248, 225, 240, 249, 225, 240, 248, 222, 238, 245, 221, 236, 244, 221, 236, 244, 220, 235, 244, 217, 232, 241, 214, 228, 238, 210, 226, 235, 211, 226, 234, 210, 226, 233, 207, 223, 231, 205, 221, 228, 205, 221, 228, 206, 219, 226,
   202, 218, 225, 201, 217, 224, 201, 216, 223, 200, 217, 224, 196, 211, 218, 192, 205, 213, 193, 207, 215, 194, 206, 214, 190, 204, 212, 189, 202, 210, 184, 197, 205, 179, 192, 200, 176, 189, 197, 173, 186, 194, 166, 179, 187, 161, 175, 182, 152, 165, 173, 142, 154, 164, 137, 148, 158, 139, 150, 159, 142, 154, 163,
   146, 157, 165, 137, 149, 157, 127, 138, 146, 117, 128, 136, 113, 124, 132, 104, 114, 123, 102, 112, 121, 101, 111, 119,  99, 109, 118,  99, 109, 118,  97, 106, 116, 102, 112, 120, 109, 119, 128, 117, 130, 140, 127, 140, 149, 136, 148, 158, 140, 155, 164, 140, 157, 166, 144, 162, 171, 147, 163, 174, 150, 168, 179,
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   144, 160, 169, 141, 158, 165,  60,  75,  82,  57,  71,  78,  62,  73,  83,  65,  80,  90, 110, 127, 139, 183, 200, 207,  86, 104, 111, 108, 125, 134, 166, 183, 191, 181, 198, 205, 147, 164, 172, 154, 171, 180, 175, 192, 200, 171, 188, 196, 167, 185, 192, 175, 192, 199, 144, 162, 172, 155, 172, 181, 190, 206, 215,
   207, 222, 229, 176, 193, 200, 129, 147, 154, 136, 153, 164, 155, 172, 183, 136, 154, 164, 168, 185, 194, 164, 180, 189, 139, 156, 166, 121, 137, 150, 152, 168, 178, 144, 161, 172, 146, 162, 173, 164, 181, 189, 110, 126, 139, 130, 147, 158, 136, 152, 165, 114, 131, 145, 121, 137, 152, 117, 133, 150, 104, 121, 138,
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   171, 188, 197, 171, 188, 197, 170, 187, 196, 168, 184, 196, 166, 182, 194, 164, 182, 193, 160, 178, 190,  34,  54,  60,  36,  56,  62,  41,  61,  67,  46,  65,  72,  53,  71,  77,  54,  72,  79,  60,  78,  85,  63,  79,  89,  60,  77,  84,  57,  73,  81,  49,  64,  71,  42,  58,  64,  38,  55,  59,  40,  57,  61,
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   135, 155, 166, 143, 161, 173, 148, 165, 178, 136, 155, 167, 132, 149, 163, 130, 149, 161, 133, 150, 163, 126, 144, 155, 119, 138, 150, 112, 132, 144, 116, 135, 147, 127, 146, 158, 112, 131, 143,  85, 103, 113,  58,  75,  86,  53,  68,  77,  33,  48,  57,  38,  51,  61,  39,  53,  62,  38,  51,  62,  35,  49,  59,
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   219, 233, 240, 214, 230, 239, 222, 235, 238, 225, 241, 247, 224, 239, 248, 222, 237, 246, 222, 237, 246, 222, 237, 246, 225, 240, 249, 222, 238, 247, 215, 230, 240, 215, 231, 239, 221, 236, 245, 221, 235, 244, 220, 236, 245, 221, 235, 244, 218, 233, 243, 213, 228, 236, 224, 236, 240, 220, 233, 241, 214, 229, 238,
   211, 226, 235, 211, 226, 234, 197, 212, 219, 196, 212, 219, 196, 210, 217, 193, 210, 217, 199, 215, 222, 195, 211, 218, 194, 211, 218, 198, 210, 218, 195, 211, 218, 194, 210, 217, 194, 209, 216, 195, 209, 217, 197, 211, 218, 194, 209, 216, 193, 206, 214, 193, 208, 216, 192, 206, 214, 189, 202, 210, 191, 204, 212,
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   187, 200, 208, 184, 200, 207, 185, 198, 206, 185, 198, 206, 185, 197, 205, 186, 197, 206, 186, 197, 205, 183, 196, 204, 182, 198, 205, 183, 198, 205, 174, 191, 200, 174, 190, 198, 175, 191, 198, 175, 190, 198, 171, 188, 196, 171, 187, 198, 169, 186, 195, 167, 183, 194, 164, 180, 192, 162, 180, 191, 160, 178, 189,
    35,  54,  61,  34,  53,  60,  38,  57,  64,  44,  63,  70,  49,  66,  73,  51,  69,  76,  57,  75,  82,  66,  82,  91,  57,  74,  81,  54,  71,  79,  60,  76,  83,  53,  69,  76,  57,  74,  81,  57,  74,  80,  50,  66,  73,  45,  62,  68,  40,  55,  60,  39,  56,  59,  42,  58,  61,  49,  64,  67,  58,  74,  79,
    74,  92,  99,  84, 102, 110,  93, 111, 121, 115, 134, 143, 126, 144, 154, 130, 148, 159, 141, 159, 170, 148, 166, 176, 140, 157, 169, 136, 155, 165, 135, 154, 166, 130, 148, 160, 135, 155, 167, 143, 161, 172, 157, 175, 185, 151, 169, 180, 139, 156, 170, 131, 150, 163, 117, 135, 148, 116, 135, 148, 128, 146, 159,
   124, 143, 155, 108, 126, 138,  93, 111, 122, 107, 125, 136, 111, 130, 140,  79,  96, 107,  44,  59,  70,  50,  64,  74,  36,  51,  60,  38,  53,  62,  37,  51,  60,  37,  52,  61,  36,  48,  59,  41,  54,  63,  36,  48,  58,  33,  46,  56,  35,  49,  59,  39,  51,  61,  40,  52,  62,  39,  51,  61,  36,  49,  59,
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   150, 168, 184, 187, 204, 214, 148, 165, 180, 147, 164, 178, 128, 146, 160, 130, 148, 162, 127, 143, 158, 131, 147, 160,  95, 112, 125,  91, 109, 121,  81,  97, 111,  79,  96, 109,  75,  95, 109,  72,  93, 108,  80, 101, 117,  84, 105, 120, 109, 127, 142, 107, 124, 137, 117, 136, 146, 109, 126, 138, 124, 141, 151,
   140, 157, 166, 166, 181, 192, 156, 174, 181, 117, 133, 145, 165, 181, 189, 162, 177, 186, 145, 163, 173, 163, 180, 188, 196, 211, 219, 202, 215, 222, 195, 212, 219, 204, 219, 227, 201, 218, 224, 206, 223, 230, 214, 229, 237, 222, 235, 244, 201, 217, 226, 215, 230, 236, 230, 243, 248, 224, 239, 247, 221, 237, 246,
   218, 235, 244, 217, 233, 243, 221, 236, 247, 221, 236, 247, 222, 238, 246, 218, 233, 242, 215, 231, 240, 213, 228, 237, 215, 231, 240, 216, 230, 238, 212, 228, 238, 211, 225, 234, 213, 229, 233, 221, 233, 239, 212, 227, 233, 210, 227, 233, 206, 221, 230, 203, 219, 226, 191, 207, 214, 193, 209, 216, 194, 208, 216,
   191, 205, 213, 195, 210, 217, 194, 207, 215, 190, 203, 211, 191, 205, 213, 195, 210, 217, 195, 208, 216, 192, 207, 214, 193, 209, 216, 192, 205, 213, 188, 202, 210, 186, 202, 209, 189, 202, 210, 189, 203, 211, 189, 202, 210, 185, 198, 206, 185, 198, 206, 184, 197, 205, 182, 195, 202, 181, 192, 199, 178, 191, 197,
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   183, 196, 204, 181, 197, 204, 178, 195, 203, 180, 196, 203, 178, 194, 201, 174, 190, 197, 171, 188, 196, 170, 187, 195, 171, 188, 197, 168, 185, 194, 166, 183, 194, 165, 183, 191, 162, 180, 191, 161, 179, 190,  35,  54,  60,  33,  53,  58,  35,  54,  61,  40,  59,  66,  43,  61,  68,  49,  67,  74,  51,  69,  76,
    59,  75,  83,  63,  80,  87,  71,  89,  98,  70,  86,  95,  62,  79,  88,  76,  93, 102,  66,  83,  92,  57,  75,  81,  54,  72,  79,  46,  64,  68,  43,  61,  64,  43,  59,  62,  42,  58,  61,  47,  63,  65,  51,  68,  73,  64,  82,  87,  82, 100, 108,  94, 113, 121, 113, 132, 139, 125, 144, 153, 145, 163, 174,
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    41,  54,  64,  41,  53,  63,  38,  50,  60,  37,  49,  59,  39,  50,  58,  38,  50,  59,  67,  80,  90,  73,  88,  96,  81,  96, 105, 103, 117, 125,  48,  59,  68,  35,  47,  55,  36,  47,  55,  32,  45,  54,  37,  47,  57,  72,  88,  96, 142, 158, 166,  30,  42,  50, 107, 122, 131, 171, 183, 192,  78,  90,  98,
    32,  42,  50,  32,  42,  51,  35,  46,  54,  35,  46,  54,  42,  52,  60,  87, 103, 112, 134, 149, 158,  32,  42,  50,  47,  60,  68,  33,  44,  52,  43,  53,  62,  80,  93, 102, 198, 212, 220, 129, 145, 153,  35,  46,  54,  49,  60,  69,  58,  70,  78, 118, 132, 141,  71,  85,  93, 133, 148, 157,  64,  79,  89,
    77,  92, 104,  77,  93, 104,  94, 110, 122, 110, 126, 138,  74,  91, 102, 110, 127, 140, 107, 123, 136, 116, 133, 145, 131, 148, 161, 128, 145, 159, 162, 179, 192, 164, 182, 193, 158, 175, 189, 188, 205, 217, 154, 172, 186, 154, 172, 183, 164, 181, 192, 162, 179, 190, 145, 165, 175, 140, 158, 168, 129, 147, 157,
   125, 142, 155, 100, 116, 129,  96, 112, 125,  85, 102, 115,  91, 109, 122,  85, 103, 117,  81, 102, 117,  90, 112, 127,  87, 105, 122, 101, 120, 134, 105, 122, 134,  96, 113, 124,  95, 111, 123,  94, 111, 123, 128, 145, 155, 174, 190, 198, 153, 170, 177, 119, 135, 146, 116, 131, 144, 204, 218, 225, 147, 165, 174,
   165, 182, 190, 178, 194, 201, 192, 208, 216, 205, 221, 229, 210, 225, 233, 214, 228, 238, 212, 228, 236, 222, 234, 246, 216, 231, 238, 225, 241, 248, 198, 213, 221, 216, 229, 235, 230, 243, 250, 225, 240, 248, 219, 236, 244, 219, 235, 245, 220, 234, 244, 221, 237, 245, 221, 236, 245, 222, 237, 246, 221, 236, 246,
   215, 230, 240, 209, 227, 234, 209, 224, 234, 208, 224, 232, 210, 226, 233, 208, 224, 231, 206, 221, 228, 218, 230, 236, 215, 230, 234, 206, 222, 230, 204, 220, 227, 201, 218, 225, 195, 211, 218, 186, 202, 209, 191, 205, 214, 190, 206, 214, 188, 203, 210, 188, 204, 211, 190, 205, 213, 187, 204, 211, 188, 203, 210,
   186, 203, 210, 188, 203, 211, 191, 204, 212, 190, 205, 213, 186, 201, 209, 185, 198, 206, 182, 195, 203, 182, 195, 203, 182, 195, 203, 180, 193, 201, 179, 192, 200, 177, 190, 198, 179, 191, 199, 181, 193, 201, 176, 189, 197, 174, 185, 193, 174, 185, 192, 172, 184, 191, 169, 180, 188, 170, 181, 189, 170, 183, 191,
   174, 186, 194, 175, 188, 196, 175, 188, 196, 177, 190, 198, 180, 193, 201, 184, 196, 204, 185, 198, 206, 188, 201, 209, 188, 201, 209, 188, 201, 209, 186, 199, 207, 187, 199, 207, 184, 197, 205, 185, 197, 206, 183, 196, 204, 183, 196, 204, 177, 195, 202, 178, 195, 202, 178, 194, 201, 175, 192, 201, 174, 191, 200,
   173, 191, 199, 169, 186, 195, 167, 184, 195, 165, 181, 192, 164, 182, 189, 163, 181, 192, 162, 180, 191,  34,  53,  60,  33,  52,  58,  32,  51,  57,  34,  53,  60,  39,  57,  63,  41,  59,  66,  49,  67,  74,  57,  75,  82,  69,  87,  95,  73,  89,  98,  73,  89,  99,  82, 100, 108,  76,  92, 102,  72,  88,  98,
    66,  84,  91,  60,  78,  85,  57,  77,  83,  56,  74,  81,  51,  68,  74,  49,  66,  71,  48,  64,  69,  46,  64,  66,  50,  67,  70,  63,  79,  85,  79,  97, 103, 102, 120, 128, 113, 134, 141, 123, 142, 153, 133, 152, 163, 129, 147, 159, 137, 155, 166, 146, 164, 174, 148, 168, 178, 153, 171, 182, 150, 169, 178,
   137, 155, 168, 128, 146, 159, 133, 150, 163, 120, 139, 152, 127, 146, 158, 137, 155, 168, 126, 144, 157, 113, 132, 145, 103, 124, 135,  97, 114, 127,  77,  95, 106,  73,  90, 101,  47,  61,  71,  41,  57,  66,  50,  66,  75,  41,  58,  66,  43,  58,  67,  39,  54,  63,  40,  55,  64,  34,  47,  58,  38,  51,  60,
    32,  45,  54,  36,  48,  58,  38,  49,  58,  36,  48,  58,  34,  46,  57,  31,  44,  54,  31,  44,  54,  32,  43,  53,  36,  48,  58,  38,  49,  59,  38,  51,  62,  43,  57,  65,  42,  56,  66,  44,  56,  66,  42,  54,  64,  43,  57,  65,  43,  57,  66,  42,  54,  64,  41,  54,  63,  65,  80,  89,  74,  89,  99,
    75,  89,  98, 102, 118, 127,  58,  70,  79,  36,  47,  56,  35,  47,  55,  38,  48,  57,  36,  49,  57,  54,  66,  74, 146, 160, 169,  55,  67,  77,  73,  89,  97, 183, 198, 206,  81,  93, 102,  43,  55,  62,  35,  46,  54,  34,  45,  53,  35,  46,  54,  35,  47,  54,  47,  58,  68, 118, 135, 144,  86,  97, 105,
    55,  65,  75,  35,  47,  55,  40,  52,  60,  41,  52,  61, 131, 147, 156, 168, 182, 190, 122, 139, 148,  47,  59,  68,  44,  55,  64,  68,  82,  91, 121, 136, 144, 100, 118, 126, 114, 131, 141,  74,  89, 101,  85, 101, 113,  88, 106, 117,  91, 108, 119, 112, 128, 140,  92, 108, 120, 134, 150, 162,  98, 114, 127,
   133, 150, 162, 141, 159, 170, 132, 148, 163, 157, 174, 185, 168, 185, 196, 164, 183, 194, 167, 185, 198, 152, 169, 181, 134, 151, 165, 161, 179, 187, 149, 166, 177, 156, 174, 184, 145, 161, 173, 139, 156, 166, 110, 127, 139, 123, 139, 151,  95, 113, 125,  98, 116, 127,  96, 114, 127,  96, 116, 129, 100, 120, 135,
    96, 117, 133,  89, 108, 124, 102, 120, 133,  93, 110, 122,  87, 103, 116, 103, 121, 132,  86, 103, 115, 114, 132, 142, 148, 165, 175, 141, 158, 168, 127, 143, 155, 127, 144, 156, 156, 174, 182, 199, 213, 219, 175, 192, 201, 190, 207, 214, 206, 222, 229, 207, 223, 233, 224, 238, 242, 219, 234, 243, 220, 233, 243,
   222, 236, 246, 224, 239, 249, 215, 230, 237, 225, 240, 247, 215, 229, 239, 221, 235, 240, 228, 240, 245, 220, 236, 245, 221, 236, 245, 218, 233, 243, 216, 232, 241, 218, 232, 241, 218, 233, 242, 216, 231, 240, 214, 230, 239, 213, 229, 237, 211, 228, 236, 209, 226, 234, 207, 223, 230, 204, 220, 227, 203, 219, 226,
   204, 221, 228, 202, 216, 224, 210, 227, 232, 205, 219, 226, 199, 215, 222, 193, 210, 217, 193, 209, 217, 185, 201, 208, 183, 198, 206, 190, 205, 213, 191, 205, 213, 188, 204, 212, 185, 201, 209, 186, 202, 209, 187, 203, 210, 185, 199, 206, 185, 199, 207, 188, 202, 210, 189, 203, 211, 187, 200, 208, 185, 198, 206,
   182, 196, 204, 183, 196, 204, 179, 192, 200, 176, 188, 196, 176, 189, 197, 175, 188, 196, 177, 190, 198, 175, 188, 196, 173, 186, 194, 172, 183, 190, 171, 182, 190, 168, 180, 188, 172, 183, 191, 171, 183, 190, 174, 187, 195, 180, 193, 199, 180, 192, 200, 181, 194, 202, 182, 194, 202, 181, 194, 202, 182, 195, 203,
   184, 197, 205, 185, 199, 207, 186, 199, 207, 185, 198, 206, 183, 196, 204, 184, 198, 206, 182, 195, 203, 181, 197, 205, 181, 195, 203, 180, 197, 204, 179, 196, 203, 178, 193, 202, 177, 194, 202, 174, 191, 200, 174, 191, 200, 172, 189, 199, 170, 187, 196, 169, 186, 195, 166, 183, 192, 163, 181, 192, 164, 182, 193,
    35,  54,  60,  32,  51,  58,  30,  49,  56,  33,  52,  58,  38,  57,  64,  46,  64,  71,  54,  72,  79,  59,  77,  84,  63,  79,  89,  64,  80,  88,  75,  91,  99,  73,  89,  99,  72,  88,  98,  64,  81,  91,  83, 101, 111,  84, 102, 112,  78,  97, 106,  73,  91, 101,  70,  89,  96,  68,  86,  93,  61,  80,  87,
    55,  74,  78,  48,  66,  70,  48,  64,  68,  60,  76,  80,  75,  93,  99,  96, 115, 122, 107, 125, 135, 115, 134, 144, 138, 158, 168, 150, 168, 179, 149, 167, 178, 147, 165, 176, 135, 153, 164, 131, 148, 160, 138, 156, 168, 132, 150, 163, 123, 141, 154, 136, 155, 168, 133, 152, 164, 127, 145, 158, 113, 132, 145,
   106, 124, 137, 107, 125, 138,  68,  84,  96,  78,  96, 106,  60,  77,  88,  49,  65,  74,  44,  59,  69,  61,  78,  87,  44,  61,  70,  43,  58,  67,  39,  54,  63,  39,  53,  62,  38,  50,  60,  33,  46,  55,  30,  43,  53,  36,  47,  57,  35,  48,  57,  29,  42,  52,  28,  40,  52,  27,  39,  51,  32,  45,  54,
    33,  47,  56,  34,  47,  56,  39,  50,  60,  39,  53,  63,  42,  54,  64,  42,  55,  63,  42,  56,  65,  41,  54,  64,  44,  61,  69,  44,  58,  68,  47,  60,  69,  63,  78,  87,  77,  94, 103,  70,  84,  93, 106, 122, 130,  69,  83,  91,  38,  48,  59,  37,  47,  57,  39,  51,  59,  40,  52,  60,  44,  56,  65,
   123, 139, 148,  94, 107, 116,  53,  65,  76, 166, 182, 189,  96, 110, 118,  67,  78,  86,  38,  49,  57,  36,  48,  56,  38,  49,  57,  38,  48,  57,  36,  48,  55,  77,  88,  97, 128, 144, 151,  39,  50,  58,  81,  92, 102,  43,  55,  63,  43,  56,  64,  45,  57,  65, 186, 202, 210, 146, 163, 171, 110, 126, 135,
    55,  66,  76,  55,  69,  76,  85, 102, 111, 120, 136, 144, 123, 140, 148,  98, 115, 125,  91, 107, 119,  92, 108, 120,  78,  94, 107,  89, 105, 117, 106, 123, 134, 123, 140, 152, 126, 142, 155, 122, 140, 151, 144, 162, 173, 145, 162, 174, 124, 141, 155, 166, 184, 194, 172, 189, 200, 168, 186, 197, 162, 181, 190,
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   173, 190, 199, 172, 189, 198, 170, 187, 196, 168, 185, 194, 166, 184, 193, 165, 184, 192, 164, 181, 193,  34,  56,  61,  34,  52,  60,  33,  52,  59,  31,  51,  56,  30,  49,  56,  32,  51,  58,  32,  50,  57,  39,  55,  62,  54,  71,  78,  70,  86,  94,  76,  93, 103,  81,  98, 107,  91, 109, 118, 100, 118, 128,
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   166, 182, 192, 163, 180, 191, 163, 180, 189, 160, 178, 186, 160, 178, 186, 158, 176, 187, 157, 174, 186,  34,  58,  63,  35,  57,  63,  33,  55,  61,  29,  49,  56,  31,  50,  57,  33,  52,  59,  40,  58,  65,  50,  68,  75,  63,  81,  89,  76,  93, 101,  85, 102, 111,  76,  92, 103,  67,  83,  91,  57,  72,  80,
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    34,  58,  64,  34,  58,  63,  32,  55,  61,  31,  51,  58,  29,  48,  55,  33,  52,  60,  39,  57,  64,  54,  73,  80,  63,  80,  88,  65,  82,  91,  77,  94, 103,  66,  83,  91,  60,  76,  84,  66,  81,  91,  67,  80,  88,  66,  80,  89,  67,  82,  90,  72,  88,  97,  81,  98, 108,  89, 106, 117,  88, 106, 115,
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    36,  47,  59,  32,  46,  57,  31,  45,  56,  44,  58,  68,  59,  74,  83,  34,  50,  58,  61,  76,  84,  79,  93, 104,  60,  76,  84,  42,  57,  66,  44,  61,  70,  48,  63,  72,  51,  66,  75,  65,  82,  92, 117, 133, 143,  83,  98, 107,  54,  70,  79, 125, 143, 153,  87, 104, 113,  47,  62,  70,  62,  77,  86,
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    88, 107, 117,  73,  91, 101,  90, 109, 118, 142, 158, 167,  91, 109, 120,  76,  94, 103,  84, 100, 113,  78,  94, 106,  96, 113, 125,  80,  98, 109, 100, 117, 128,  99, 117, 129, 119, 137, 148, 121, 140, 150, 126, 144, 155, 113, 131, 142, 104, 122, 133, 106, 124, 135, 116, 136, 146, 121, 138, 150, 131, 149, 160,
   127, 145, 156, 123, 141, 152, 122, 142, 152, 124, 142, 153, 100, 119, 132, 110, 129, 142, 111, 129, 142, 114, 133, 147, 117, 136, 151, 126, 144, 160, 140, 159, 174, 149, 168, 182, 156, 174, 187, 162, 180, 194, 175, 193, 205, 176, 193, 206, 181, 199, 210, 185, 204, 213, 180, 197, 208, 181, 199, 210, 194, 211, 222,
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   171, 189, 199, 175, 193, 202, 175, 193, 202, 174, 191, 200, 174, 190, 201, 173, 190, 199, 173, 189, 201, 175, 192, 201, 165, 183, 191, 183, 199, 208, 175, 191, 200, 167, 184, 193, 184, 201, 208, 170, 187, 195, 164, 181, 191, 166, 183, 192, 169, 186, 193, 170, 187, 195, 170, 187, 195, 186, 202, 210, 183, 197, 205,
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   155, 168, 173, 152, 166, 171, 153, 165, 172, 151, 162, 171, 145, 159, 164, 149, 160, 168, 151, 162, 169, 148, 159, 166, 148, 159, 165, 141, 151, 158, 140, 151, 158, 143, 153, 160, 142, 152, 160, 143, 155, 161, 147, 157, 165, 149, 158, 167, 151, 163, 168, 152, 163, 168, 153, 164, 171, 152, 163, 171, 152, 165, 170,
   154, 167, 173, 156, 166, 173, 157, 170, 176, 167, 179, 185, 155, 165, 172, 157, 169, 175, 160, 172, 178, 159, 171, 176, 159, 172, 178, 163, 177, 181, 165, 177, 183, 163, 175, 181, 163, 176, 183, 165, 177, 182, 163, 174, 180, 158, 171, 176, 157, 170, 176, 159, 172, 177, 157, 170, 176, 157, 168, 176, 157, 170, 176,
   157, 169, 176, 156, 169, 174, 153, 168, 173, 152, 165, 171, 150, 163, 171, 149, 162, 169, 147, 161, 168, 148, 160, 167, 147, 161, 167, 145, 159, 166, 144, 157, 166, 142, 155, 164, 138, 152, 161, 135, 150, 159,};
 const char* CatPics::cat2Data = (const char*)temp_cat2_2;
 
 static const unsigned char temp_cat3_3[] = {
    99,  16,   2,  98,  14,   2, 101,  16,   2, 103,  17,   2, 105,  18,   2, 106,  19,   2, 105,  17,   2, 106,  18,   2, 107,  20,   2, 108,  21,   2, 110,  21,   3, 111,  22,   2, 112,  22,   1, 114,  22,   2, 115,  23,   1, 118,  24,   2, 118,  24,   2, 119,  25,   2, 121,  24,   1, 123,  26,   2, 123,  26,   2,
   125,  27,   2, 127,  28,   2, 127,  27,   2, 128,  28,   2, 128,  29,   1, 132,  30,   2, 132,  32,   2, 132,  31,   2, 135,  33,   3, 134,  32,   1, 137,  35,   3, 137,  33,   2, 139,  36,   2, 141,  37,   3, 141,  38,   3, 141,  37,   3, 143,  37,   2, 143,  37,   2, 145,  38,   2, 145,  38,   2, 148,  40,   3,
   149,  40,   3, 149,  39,   2, 152,  42,   2, 153,  42,   3, 152,  42,   2, 153,  42,   2, 153,  43,   2, 154,  42,   1, 155,  44,   2, 155,  44,   2, 156,  44,   3, 158,  46,   2, 158,  47,   2, 157,  47,   3, 159,  47,   2, 158,  46,   2, 159,  46,   3, 161,  47,   2, 162,  47,   2, 163,  51,   2, 163,  49,   2,
   164,  48,   2, 166,  48,   2, 165,  50,   3, 164,  50,   2, 167,  52,   1, 167,  50,   3, 167,  52,   2, 167,  52,   2, 169,  54,   3, 168,  54,   2, 169,  53,   2, 168,  52,   2, 169,  53,   2, 168,  53,   2, 167,  52,   2, 169,  53,   2, 168,  54,   1, 169,  54,   3, 170,  56,   3, 170,  55,   2, 168,  54,   2,
   169,  55,   2, 169,  54,   2, 171,  55,   2, 172,  57,   2, 171,  56,   2, 172,  56,   3, 170,  56,   1, 171,  57,   2, 169,  56,   2, 168,  55,   2, 169,  55,   3, 170,  56,   3, 169,  56,   2, 168,  55,   2, 168,  57,   2, 167,  56,   2, 169,  56,   2, 169,  56,   2, 169,  56,   2, 168,  56,   2, 169,  55,   3,
   168,  55,   2, 166,  54,   2, 166,  54,   2, 168,  56,   3, 167,  56,   2, 167,  55,   2, 167,  54,   3, 167,  55,   2, 166,  55,   2, 166,  54,   2, 166,  55,   3, 167,  55,   2, 167,  55,   2, 168,  55,   3, 166,  54,   1, 168,  55,   2, 167,  54,   2, 169,  56,   3, 170,  57,   2, 169,  54,   3, 169,  55,   2,
   171,  55,   2, 169,  54,   1, 173,  57,   2, 172,  56,   2, 172,  55,   2, 172,  56,   2, 173,  56,   2, 171,  53,   2, 174,  57,   2, 173,  56,   2, 176,  57,   2, 176,  57,   2, 178,  56,   3, 178,  57,   2, 177,  56,   2, 178,  56,   3, 177,  55,   3, 177,  54,   2, 176,  56,   2, 171,  58,   8, 162,  63,  39,
   148,  67,  74, 137,  75,  99, 108,  77, 131,  66,  83, 144,  40,  83, 156,  29,  86, 159,  13,  81, 154,   9,  79, 150,   7,  75, 146,   4,  70, 139,   2,  64, 133,   5,  66, 134,   6,  71, 142,  16,  79, 150,  35,  80, 151,  52,  79, 143,  86,  78, 132, 119,  69, 120, 137,  66,  87, 150,  59,  52, 160,  48,   0,
   161,  48,   3, 163,  48,   2, 162,  47,   2, 162,  48,   2, 161,  47,   2, 159,  47,   2, 159,  46,   2, 158,  46,   2, 158,  46,   3, 157,  44,   2, 156,  44,   3, 156,  44,   3, 154,  43,   3, 154,  43,   2, 152,  42,   2, 152,  41,   3, 150,  41,   3, 150,  41,   4, 147,  41,   3, 148,  40,   4, 147,  41,   3,
   146,  41,   6, 144,  38,   5, 143,  38,   6, 143,  37,   4, 143,  38,   6, 140,  37,   5, 140,  37,   5, 137,  35,   4, 136,  33,   3, 134,  33,   3, 132,  33,   3, 130,  30,   2, 129,  29,   2, 128,  30,   2, 126,  28,   3, 124,  29,   3, 118,  28,   8, 109,  26,  16,  98,  28,  35,  84,  36,  63,  51,  39,  87,
    23,  39,  86,   3,  34,  90,   2,  32,  89,   2,  26,  81,   3,  18,  67,   3,  12,  57,   4,  11,  54,   2,  11,  54,   2,  12,  55,   2,  12,  59,   2,  15,  63,   3,  18,  64,  10,  22,  64,  32,  21,  58,  61,  19,  45,  78,  20,  24,  90,  18,   6,  99,  15,   2, 104,  15,   2, 104,  13,   2, 104,  11,   2,
   103,  12,   3, 101,  10,   2, 101,  12,   2, 100,  11,   3,  97,   9,   2,  96,   7,   1,  96,   9,   2,  94,   9,   2,  91,   7,   1,  89,   7,   1,  88,   5,   2,  87,   5,   1,  88,   5,   2,  86,   3,   2,  87,   5,   2,  84,   3,   1,  81,   4,   1,  98,  15,   2, 100,  16,   2, 102,  18,   2, 103,  18,   2,
   104,  17,   2, 107,  19,   2, 106,  20,   3, 108,  21,   2, 108,  20,   2, 109,  22,   2, 110,  20,   2, 111,  21,   2, 112,  22,   2, 115,  22,   2, 117,  23,   2, 118,  24,   1, 120,  26,   2, 120,  25,   2, 122,  26,   2, 124,  26,   2, 124,  26,   2, 127,  30,   2, 127,  27,   2, 129,  29,   1, 130,  30,   3,
   131,  30,   2, 134,  32,   1, 133,  32,   2, 134,  33,   2, 136,  35,   2, 136,  35,   2, 138,  36,   2, 139,  36,   1, 141,  37,   3, 141,  36,   2, 141,  36,   2, 142,  36,   2, 144,  38,   2, 146,  39,   2, 145,  39,   2, 147,  40,   3, 148,  39,   2, 151,  41,   3, 151,  41,   2, 152,  41,   2, 152,  41,   2,
   152,  41,   2, 155,  44,   2, 154,  43,   1, 154,  44,   2, 156,  44,   2, 156,  44,   2, 157,  46,   2, 157,  46,   2, 158,  46,   2, 159,  48,   2, 159,  47,   2, 161,  48,   2, 161,  47,   2, 162,  48,   2, 163,  49,   2, 163,  50,   1, 166,  51,   3, 165,  51,   3, 166,  51,   2, 166,  51,   2, 168,  53,   3,
   167,  52,   2, 168,  53,   2, 168,  53,   2, 168,  53,   2, 169,  55,   2, 170,  55,   2, 169,  55,   2, 168,  53,   2, 172,  56,   3, 170,  54,   2, 171,  55,   3, 170,  54,   2, 169,  54,   2, 170,  56,   2, 172,  57,   2, 171,  57,   2, 171,  55,   3, 171,  56,   2, 172,  56,   3, 172,  56,   2, 171,  56,   1,
   171,  57,   2, 171,  56,   3, 171,  58,   3, 170,  56,   2, 170,  57,   2, 169,  58,   2, 171,  57,   2, 171,  56,   3, 170,  56,   2, 169,  55,   2, 169,  55,   2, 169,  55,   2, 168,  56,   2, 169,  56,   3, 169,  57,   2, 169,  58,   2, 169,  58,   2, 167,  55,   2, 168,  57,   1, 168,  56,   3, 167,  56,   2,
   167,  55,   3, 167,  55,   2, 167,  55,   2, 167,  56,   2, 167,  55,   3, 166,  56,   2, 166,  55,   2, 167,  56,   2, 168,  56,   3, 168,  57,   2, 168,  56,   3, 166,  53,   2, 169,  55,   2, 167,  54,   2, 169,  55,   2, 169,  57,   3, 169,  56,   2, 169,  56,   2, 170,  56,   3, 171,  56,   2, 173,  57,   3,
   173,  57,   2, 174,  58,   2, 173,  56,   2, 173,  56,   2, 174,  57,   1, 174,  57,   2, 176,  57,   2, 176,  57,   2, 178,  57,   3, 178,  57,   2, 178,  56,   2, 179,  57,   2, 178,  56,   3, 179,  59,   2, 177,  57,   2, 171,  60,   7, 163,  63,  37, 150,  65,  70, 134,  68,  93, 108,  71, 119,  65,  75, 131,
    38,  74, 141,  20,  73, 142,   7,  68, 139,   5,  63, 130,   4,  57, 122,   4,  52, 117,   4,  49, 116,   3,  52, 118,   3,  60, 128,  10,  72, 142,  23,  75, 144,  44,  76, 140,  78,  78, 133, 105,  72, 126, 132,  71, 105, 143,  64,  69, 157,  55,  25, 160,  52,  13, 159,  50,   8, 160,  50,   9, 158,  52,  11,
   155,  48,  10, 156,  50,  13, 155,  50,  16, 153,  50,  20, 153,  49,  18, 151,  49,  19, 151,  50,  19, 151,  48,  17, 151,  50,  23, 151,  49,  24, 147,  47,  22, 145,  47,  26, 145,  46,  24, 145,  48,  29, 143,  48,  29, 142,  48,  31, 143,  49,  30, 141,  48,  31, 139,  47,  34, 138,  46,  28, 135,  45,  31,
   135,  44,  30, 132,  43,  30, 129,  40,  27, 128,  39,  26, 126,  38,  23, 124,  35,  19, 123,  34,  16, 122,  33,  15, 120,  32,  13, 119,  32,  15, 118,  32,  18, 113,  30,  20, 107,  31,  26, 100,  28,  32,  92,  30,  44,  74,  33,  65,  43,  37,  83,  19,  36,  84,   2,  30,  84,   1,  26,  79,   3,  19,  70,
     2,   9,  44,   3,   3,  21,   2,   3,  20,   2,   3,  21,   2,   3,  25,   2,   3,  29,   2,   5,  33,   4,   8,  38,  17,  12,  41,  46,  14,  40,  66,  18,  29,  79,  15,  13,  93,  16,   3, 101,  16,   1, 105,  15,   1, 106,  14,   2, 105,  13,   1, 104,  13,   2, 102,  12,   2, 102,  11,   3, 101,  10,   3,
   100,  10,   2,  99,   9,   3,  97,   9,   2,  95,   8,   1,  94,   9,   1,  92,   7,   2,  91,   7,   1,  89,   6,   2,  87,   4,   1,  88,   4,   2,  87,   4,   1,  86,   4,   2,  84,   4,   2, 100,  16,   2, 101,  17,   2, 102,  17,   2, 105,  17,   2, 105,  18,   2, 106,  20,   2, 107,  19,   3, 108,  21,   2,
   108,  20,   1, 110,  21,   1, 111,  22,   2, 112,  23,   2, 113,  23,   2, 117,  23,   2, 118,  25,   2, 119,  25,   2, 120,  25,   2, 120,  24,   2, 121,  26,   1, 125,  27,   2, 125,  28,   3, 127,  28,   2, 127,  28,   1, 129,  30,   2, 131,  30,   2, 130,  30,   1, 135,  34,   2, 134,  32,   3, 135,  32,   3,
   137,  34,   2, 138,  35,   2, 139,  36,   2, 140,  36,   2, 142,  37,   2, 143,  37,   3, 145,  38,   2, 143,  37,   2, 146,  40,   2, 146,  40,   2, 147,  39,   2, 147,  40,   2, 150,  40,   2, 151,  41,   2, 151,  41,   2, 152,  44,   2, 154,  44,   2, 155,  46,   3, 155,  45,   2, 156,  46,   2, 155,  44,   2,
   158,  47,   2, 158,  46,   3, 159,  49,   2, 159,  48,   2, 159,  48,   2, 159,  48,   2, 161,  50,   2, 163,  49,   2, 162,  50,   2, 163,  50,   2, 165,  50,   2, 165,  50,   2, 166,  51,   1, 166,  51,   1, 168,  53,   3, 169,  53,   3, 170,  54,   3, 169,  54,   2, 170,  54,   3, 169,  54,   2, 169,  54,   3,
   170,  56,   2, 169,  55,   2, 170,  55,   2, 170,  55,   2, 170,  55,   2, 171,  55,   2, 170,  57,   2, 172,  55,   2, 172,  57,   3, 171,  56,   2, 170,  55,   2, 172,  57,   2, 171,  56,   2, 172,  57,   3, 173,  57,   3, 171,  55,   2, 173,  57,   2, 170,  56,   2, 170,  57,   2, 172,  58,   2, 171,  57,   1,
   171,  56,   2, 171,  58,   2, 171,  57,   3, 169,  57,   2, 169,  55,   3, 170,  57,   2, 170,  56,   2, 170,  57,   2, 170,  58,   2, 169,  57,   2, 169,  57,   2, 168,  56,   2, 169,  58,   2, 169,  58,   2, 167,  56,   2, 168,  57,   3, 168,  57,   2, 167,  57,   1, 168,  56,   3, 169,  56,   2, 169,  56,   3,
   169,  57,   2, 168,  58,   2, 168,  57,   2, 167,  57,   2, 168,  57,   2, 169,  58,   1, 169,  57,   3, 168,  55,   3, 169,  56,   2, 169,  56,   2, 170,  57,   2, 170,  57,   2, 172,  59,   2, 171,  58,   2, 171,  55,   3, 173,  58,   3, 173,  58,   2, 174,  59,   2, 174,  57,   2, 176,  58,   2, 174,  57,   2,
   175,  59,   3, 178,  59,   2, 177,  56,   2, 179,  57,   2, 178,  57,   2, 180,  59,   2, 179,  58,   1, 180,  59,   2, 179,  57,   2, 180,  57,   2, 179,  59,   3, 174,  60,   6, 165,  62,  29, 147,  60,  59, 130,  62,  79, 109,  63, 101,  69,  61, 112,  37,  58, 115,  14,  54, 117,   4,  48, 110,   3,  44, 105,
     4,  39,  98,   3,  33,  93,   3,  32,  90,   3,  38,  99,   3,  50, 113,   5,  63, 133,  17,  69, 139,  36,  73, 139,  67,  79, 136,  93,  80, 133, 116,  74, 125, 136,  71,  96, 143,  61,  66, 147,  58,  56, 150,  57,  48, 148,  55,  45, 148,  54,  44, 148,  55,  45, 146,  55,  47, 143,  54,  49, 142,  54,  54,
   140,  54,  56, 138,  55,  60, 137,  55,  60, 136,  56,  61, 134,  54,  62, 134,  57,  63, 134,  55,  61, 131,  55,  64, 131,  58,  68, 130,  57,  68, 129,  57,  68, 129,  58,  69, 126,  56,  69, 127,  56,  68, 124,  55,  69, 121,  54,  69, 122,  54,  69, 119,  54,  68, 119,  50,  65, 117,  47,  58, 117,  45,  55,
   113,  41,  50, 109,  36,  44, 107,  36,  42, 105,  33,  37, 104,  34,  38, 105,  35,  40, 102,  34,  41, 101,  34,  43,  96,  32,  42,  89,  29,  41,  81,  31,  50,  63,  31,  72,  35,  38,  82,  13,  34,  84,   2,  27,  81,   2,  22,  75,   3,  14,  62,   2,   5,  29,   1,   2,   4,   2,   1,   2,   1,   2,   3,
     1,   1,   3,   1,   1,   3,   1,   2,   6,   7,   2,  11,  27,   5,  16,  49,   8,  15,  68,  10,  10,  83,  12,   3,  96,  15,   1, 105,  17,   1, 108,  16,   2, 107,  14,   2, 107,  15,   1, 105,  12,   2, 104,  12,   2, 103,  12,   2, 102,  11,   2, 100,  11,   2, 100,  10,   2,  98,  10,   2,  96,   9,   2,
    95,   9,   2,  93,   7,   1,  91,   7,   1,  91,   7,   2,  90,   6,   1,  89,   6,   1,  89,   4,   2,  86,   4,   2,  84,   5,   1, 100,  16,   1, 103,  17,   1, 103,  18,   2, 106,  20,   2, 106,  19,   2, 107,  20,   2, 108,  19,   2, 109,  20,   2, 109,  21,   2, 109,  20,   2, 112,  22,   2, 112,  22,   2,
   115,  23,   2, 116,  24,   2, 117,  24,   2, 119,  24,   2, 119,  24,   2, 120,  24,   1, 123,  25,   2, 124,  26,   3, 126,  26,   2, 127,  28,   2, 128,  29,   2, 131,  31,   2, 132,  31,   1, 132,  31,   2, 135,  32,   2, 137,  34,   2, 137,  35,   1, 139,  35,   2, 140,  35,   2, 140,  36,   2, 141,  36,   2,
   143,  38,   1, 144,  38,   1, 145,  39,   2, 145,  39,   2, 147,  40,   3, 147,  40,   2, 147,  39,   2, 152,  42,   2, 151,  42,   2, 153,  42,   2, 154,  44,   2, 154,  44,   2, 155,  44,   2, 157,  46,   2, 156,  46,   2, 158,  46,   3, 158,  46,   2, 158,  47,   2, 157,  45,   2, 159,  47,   2, 160,  49,   2,
   161,  48,   2, 161,  49,   2, 163,  50,   2, 165,  51,   2, 164,  52,   2, 165,  52,   2, 166,  52,   3, 166,  53,   1, 167,  51,   3, 168,  53,   3, 168,  54,   2, 169,  53,   3, 169,  53,   2, 169,  55,   2, 169,  55,   3, 170,  56,   2, 171,  56,   3, 171,  55,   3, 169,  53,   2, 170,  56,   2, 171,  55,   2,
   171,  57,   3, 173,  57,   2, 172,  57,   2, 173,  57,   2, 173,  56,   2, 173,  58,   2, 172,  57,   2, 173,  57,   2, 171,  55,   2, 172,  57,   2, 173,  57,   1, 173,  58,   3, 172,  57,   2, 172,  59,   2, 173,  58,   1, 173,  57,   2, 171,  57,   2, 172,  59,   2, 171,  57,   2, 170,  56,   2, 171,  59,   3,
   170,  58,   2, 170,  57,   1, 169,  57,   3, 170,  58,   2, 170,  58,   2, 172,  59,   2, 170,  57,   2, 169,  58,   2, 169,  58,   2, 170,  57,   2, 168,  58,   2, 168,  59,   2, 170,  59,   3, 169,  58,   2, 169,  59,   2, 168,  56,   2, 167,  55,   1, 168,  58,   3, 169,  59,   3, 169,  58,   2, 169,  57,   2,
   169,  58,   2, 168,  57,   2, 170,  58,   2, 171,  57,   2, 170,  57,   1, 170,  58,   2, 171,  58,   3, 171,  58,   2, 171,  58,   2, 173,  58,   2, 174,  58,   3, 174,  57,   2, 173,  56,   1, 174,  57,   2, 174,  59,   2, 175,  59,   1, 176,  59,   2, 178,  61,   1, 178,  59,   2, 178,  58,   3, 181,  60,   2,
   182,  60,   2, 182,  60,   2, 182,  60,   1, 181,  60,   1, 182,  59,   2, 181,  60,   1, 178,  58,   2, 173,  58,   2, 166,  57,  14, 149,  54,  40, 130,  52,  59, 112,  51,  73,  83,  45,  93,  43,  42,  88,  10,  35,  85,   4,  28,  80,   4,  22,  72,   2,  19,  65,   3,  16,  61,   2,  14,  61,   3,  22,  71,
     3,  36,  92,   4,  54, 120,   8,  63, 133,  26,  73, 143,  53,  82, 147,  72,  85, 145,  88,  84, 140, 114,  76, 127, 130,  69, 101, 131,  66,  90, 131,  64,  83, 130,  62,  81, 130,  59,  78, 128,  59,  82, 127,  61,  85, 125,  60,  85, 124,  61,  86, 123,  63,  91, 121,  63,  91, 120,  63,  90, 122,  63,  93,
   121,  62,  93, 118,  63,  96, 116,  62, 100, 116,  63, 103, 115,  64, 105, 115,  65, 104, 113,  66, 106, 112,  64, 104, 110,  66, 107, 107,  64, 107, 105,  62, 108, 103,  61, 107, 101,  61, 107,  99,  61, 104,  95,  56,  99,  92,  50,  94,  94,  48,  84,  96,  45,  75,  96,  43,  65,  94,  42,  60,  92,  42,  59,
    88,  40,  57,  88,  40,  58,  88,  39,  61,  88,  40,  62,  85,  36,  61,  75,  31,  61,  62,  26,  66,  43,  32,  74,  24,  38,  83,   6,  31,  82,   3,  27,  81,   2,  22,  74,   2,  14,  61,   2,   4,  29,   1,   2,   4,   1,   1,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   2,   1,   1,   6,   1,   2,
    25,   2,   5,  52,   3,   6,  73,   7,   3,  89,  11,   2, 100,  13,   3, 108,  16,   3, 109,  17,   2, 110,  15,   1, 108,  16,   1, 106,  14,   1, 105,  13,   2, 104,  13,   2, 102,  11,   3, 102,  11,   1, 101,  10,   2,  99,   8,   2,  98,  10,   3,  97,   9,   2,  95,  10,   2,  92,   8,   2,  91,   7,   1,
    91,   7,   2,  90,   6,   2,  89,   4,   2,  88,   4,   1,  87,   4,   1, 101,  16,   2, 102,  17,   2, 104,  18,   2, 104,  18,   1, 106,  19,   2, 107,  19,   2, 110,  20,   2, 111,  21,   3, 109,  22,   2, 111,  22,   3, 114,  23,   2, 113,  22,   2, 113,  21,   2, 118,  25,   2, 118,  24,   2, 119,  24,   2,
   119,  25,   2, 122,  26,   2, 123,  25,   2, 126,  28,   3, 127,  28,   3, 128,  28,   2, 128,  29,   2, 130,  29,   2, 131,  30,   3, 135,  31,   2, 137,  33,   2, 136,  34,   2, 139,  35,   2, 138,  35,   2, 140,  36,   2, 141,  37,   2, 143,  37,   2, 143,  38,   2, 146,  39,   2, 146,  39,   2, 145,  39,   1,
   149,  41,   3, 148,  41,   1, 149,  42,   1, 151,  41,   1, 151,  41,   2, 153,  42,   2, 154,  43,   2, 156,  46,   2, 154,  45,   2, 158,  48,   2, 157,  47,   2, 157,  46,   3, 157,  47,   2, 159,  48,   3, 160,  49,   2, 160,  49,   3, 161,  49,   2, 162,  49,   2, 164,  50,   2, 163,  51,   3, 164,  51,   2,
   165,  50,   2, 165,  53,   2, 166,  52,   2, 164,  52,   2, 166,  53,   2, 169,  54,   2, 171,  56,   2, 168,  53,   2, 170,  55,   2, 170,  56,   3, 171,  57,   3, 171,  57,   2, 171,  56,   3, 171,  56,   2, 171,  56,   2, 171,  57,   2, 172,  57,   2, 171,  58,   2, 172,  58,   2, 171,  57,   2, 171,  55,   2,
   172,  56,   2, 174,  57,   2, 173,  57,   2, 173,  57,   3, 174,  58,   2, 173,  57,   3, 172,  56,   2, 173,  57,   3, 172,  57,   2, 173,  58,   2, 171,  57,   2, 172,  58,   2, 171,  58,   2, 174,  59,   2, 172,  58,   2, 172,  59,   3, 170,  58,   2, 172,  60,   2, 169,  58,   2, 171,  59,   3, 170,  58,   1,
   171,  57,   2, 170,  57,   2, 170,  58,   3, 168,  58,   2, 171,  58,   2, 170,  58,   2, 171,  57,   2, 171,  60,   2, 169,  59,   3, 171,  60,   2, 170,  58,   2, 170,  58,   3, 169,  59,   2, 169,  58,   3, 169,  58,   2, 169,  58,   2, 169,  57,   2, 170,  58,   2, 173,  59,   2, 171,  59,   3, 172,  59,   2,
   170,  58,   2, 172,  58,   2, 171,  57,   2, 170,  58,   2, 173,  59,   2, 173,  60,   2, 173,  58,   2, 174,  58,   2, 176,  60,   1, 175,  61,   2, 175,  59,   2, 177,  61,   2, 176,  59,   2, 177,  59,   2, 181,  61,   2, 179,  59,   3, 180,  60,   2, 182,  61,   2, 181,  60,   2, 181,  59,   1, 183,  60,   2,
   181,  59,   3, 182,  59,   3, 181,  60,   3, 175,  58,   3, 167,  55,   7, 152,  50,  21, 133,  44,  36, 112,  38,  46,  88,  34,  51,  51,  25,  58,  11,  18,  49,   2,  10,  42,   2,   6,  34,   2,   5,  30,   2,   4,  29,   2,   3,  32,   2,  11,  50,   3,  26,  81,   3,  46, 112,   4,  61, 129,  15,  76, 147,
    35,  83, 156,  51,  91, 161,  59,  91, 159,  70,  85, 145,  87,  79, 133,  95,  75, 128,  99,  72, 122,  99,  67, 119,  94,  68, 118,  89,  64, 118,  88,  64, 118,  89,  66, 120,  86,  66, 120,  84,  67, 121,  77,  67, 121,  75,  68, 120,  73,  70, 122,  75,  71, 121,  72,  72, 124,  70,  72, 125,  70,  71, 126,
    70,  74, 127,  68,  74, 128,  66,  75, 129,  64,  73, 129,  61,  73, 129,  60,  72, 129,  60,  73, 129,  59,  73, 125,  60,  70, 120,  61,  70, 119,  61,  65, 114,  59,  59, 106,  59,  54, 102,  61,  48,  93,  62,  43,  86,  62,  42,  82,  63,  40,  80,  60,  38,  78,  60,  38,  79,  60,  39,  81,  59,  39,  80,
    55,  33,  76,  46,  27,  70,  36,  29,  69,  26,  35,  76,  11,  36,  85,   3,  31,  83,   3,  26,  79,   1,  20,  71,   3,  14,  61,   3,   4,  33,   2,   1,   5,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   2,   1,   1,   9,   1,   1,  29,   2,   3,  57,   2,   3,  77,   6,   2,  93,   9,   2,
   104,  14,   2, 112,  18,   2, 112,  17,   2, 112,  16,   2, 110,  15,   2, 110,  15,   2, 107,  14,   2, 104,  14,   1, 104,  13,   2, 102,  11,   2, 101,  11,   3,  99,   9,   3,  98,   9,   2,  97,   8,   1,  96,  10,   3,  94,   9,   2,  91,   7,   2,  90,   6,   1,  90,   8,   2,  89,   6,   2,  87,   5,   1,
    87,   5,   1, 103,  17,   1, 104,  17,   2, 104,  17,   1, 106,  18,   2, 107,  19,   2, 107,  18,   2, 108,  20,   2, 109,  20,   1, 110,  21,   2, 113,  23,   2, 115,  23,   2, 116,  23,   2, 116,  24,   2, 117,  24,   1, 119,  25,   2, 120,  25,   2, 121,  26,   1, 123,  26,   2, 125,  28,   2, 124,  27,   2,
   128,  29,   2, 129,  29,   2, 130,  30,   1, 131,  31,   1, 131,  32,   3, 135,  34,   2, 136,  34,   2, 138,  35,   2, 140,  37,   2, 142,  38,   2, 142,  37,   2, 142,  37,   2, 143,  39,   3, 145,  40,   2, 146,  40,   2, 147,  41,   2, 147,  39,   2, 150,  41,   3, 150,  42,   2, 150,  43,   3, 153,  42,   2,
   153,  42,   2, 154,  44,   2, 156,  45,   2, 157,  45,   2, 157,  46,   2, 157,  46,   2, 159,  48,   2, 159,  48,   2, 160,  49,   2, 159,  48,   2, 160,  48,   2, 163,  52,   2, 163,  52,   2, 162,  52,   3, 164,  51,   3, 165,  54,   2, 165,  52,   3, 167,  52,   2, 167,  53,   2, 166,  54,   2, 168,  53,   2,
   170,  55,   3, 169,  54,   3, 169,  54,   2, 169,  55,   3, 170,  56,   2, 171,  56,   2, 171,  56,   3, 170,  55,   2, 170,  56,   3, 171,  55,   3, 171,  56,   2, 173,  58,   3, 172,  56,   1, 173,  57,   2, 173,  58,   2, 172,  58,   3, 172,  57,   2, 173,  57,   2, 174,  58,   3, 174,  58,   2, 173,  58,   2,
   172,  58,   2, 173,  57,   2, 174,  58,   2, 175,  60,   3, 173,  58,   3, 174,  59,   2, 172,  58,   2, 172,  58,   1, 172,  58,   2, 174,  59,   2, 172,  59,   2, 172,  59,   2, 171,  59,   1, 171,  60,   2, 171,  58,   2, 172,  59,   2, 171,  57,   2, 170,  58,   2, 170,  59,   2, 170,  59,   2, 170,  59,   2,
   172,  59,   2, 170,  60,   1, 171,  60,   2, 171,  59,   2, 170,  57,   2, 171,  60,   2, 172,  59,   2, 173,  60,   1, 172,  59,   3, 171,  59,   2, 171,  60,   3, 171,  58,   2, 171,  57,   2, 171,  59,   2, 172,  58,   1, 173,  60,   2, 174,  59,   3, 172,  59,   1, 173,  58,   2, 174,  61,   2, 173,  59,   2,
   174,  60,   2, 173,  59,   2, 173,  59,   2, 175,  60,   1, 176,  61,   2, 176,  60,   2, 175,  59,   2, 176,  60,   1, 178,  59,   2, 180,  61,   2, 181,  61,   2, 180,  60,   2, 180,  59,   1, 182,  62,   2, 183,  62,   2, 184,  60,   2, 184,  60,   2, 185,  62,   2, 184,  61,   3, 183,  60,   3, 178,  61,   2,
   170,  55,   3, 155,  48,   7, 136,  40,  19, 114,  31,  24,  86,  23,  26,  48,  14,  28,  16,   5,  21,   2,   2,   8,   2,   1,  10,   1,   2,  12,   1,   2,  18,   2,   2,  24,   2,   8,  42,   3,  24,  77,   3,  43, 109,   2,  63, 132,  10,  78, 152,  26,  88, 162,  39,  93, 168,  45,  92, 166,  46,  86, 157,
    50,  81, 146,  54,  83, 146,  50,  77, 137,  50,  74, 136,  50,  72, 132,  54,  72, 131,  57,  74, 133,  53,  73, 132,  50,  73, 133,  48,  74, 133,  47,  73, 135,  45,  74, 136,  43,  74, 137,  42,  74, 137,  40,  73, 136,  45,  75, 139,  41,  75, 139,  42,  77, 140,  40,  76, 141,  39,  76, 141,  39,  76, 141,
    40,  78, 142,  38,  77, 141,  35,  74, 138,  33,  73, 137,  34,  72, 135,  32,  68, 130,  35,  65, 126,  34,  60, 117,  34,  55, 111,  35,  52, 104,  32,  47,  96,  29,  43,  89,  29,  42,  86,  28,  42,  86,  29,  42,  86,  28,  42,  87,  29,  41,  85,  26,  37,  81,  21,  33,  75,  13,  30,  74,   8,  31,  78,
     3,  33,  82,   3,  27,  80,   2,  20,  73,   2,  17,  67,   2,  11,  58,   3,   4,  34,   2,   2,   6,   1,   1,   0,   1,   1,   1,   1,   1,   1,   1,   1,   1,   4,   1,   1,  15,   1,   3,  37,   2,   5,  67,   5,   3,  85,   7,   2,  97,  11,   2, 110,  18,   2, 114,  19,   3, 113,  18,   2, 113,  17,   2,
   111,  15,   1, 110,  14,   2, 107,  14,   2, 108,  14,   2, 105,  14,   2, 104,  13,   1, 102,  11,   2, 102,  12,   2, 100,  10,   2,  98,  10,   1,  97,  10,   3,  94,  10,   3,  93,   8,   2,  92,   8,   2,  89,   6,   1,  90,   6,   2,  89,   6,   1,  88,   5,   2, 103,  18,   2, 105,  18,   2, 106,  18,   2,
   106,  19,   1, 108,  20,   2, 108,  19,   2, 110,  20,   2, 111,  22,   2, 112,  22,   1, 113,  22,   2, 115,  22,   2, 115,  23,   2, 117,  24,   3, 120,  25,   2, 119,  25,   1, 120,  25,   2, 121,  24,   1, 124,  26,   2, 126,  28,   3, 125,  28,   2, 127,  29,   2, 129,  29,   1, 129,  30,   1, 131,  30,   1,
   134,  32,   2, 135,  33,   2, 138,  34,   2, 140,  38,   2, 140,  38,   2, 141,  38,   3, 142,  38,   2, 143,  39,   2, 144,  38,   3, 146,  39,   1, 147,  40,   2, 148,  40,   1, 148,  42,   2, 151,  43,   2, 150,  43,   1, 151,  43,   2, 154,  44,   2, 155,  45,   3, 155,  46,   2, 156,  44,   2, 156,  46,   2,
   157,  47,   1, 157,  47,   2, 157,  48,   2, 158,  47,   2, 159,  48,   1, 161,  49,   1, 161,  50,   2, 163,  51,   3, 163,  51,   2, 163,  53,   1, 164,  51,   2, 165,  53,   2, 167,  53,   2, 167,  54,   2, 168,  53,   3, 170,  56,   3, 169,  55,   3, 170,  56,   2, 169,  55,   2, 171,  57,   2, 170,  55,   3,
   172,  56,   2, 171,  56,   2, 171,  56,   3, 172,  57,   2, 172,  57,   3, 171,  57,   2, 173,  57,   2, 174,  58,   3, 172,  58,   2, 174,  60,   3, 174,  59,   2, 174,  60,   2, 173,  57,   2, 173,  58,   3, 174,  60,   2, 175,  61,   2, 174,  59,   2, 173,  58,   2, 173,  59,   2, 172,  59,   2, 174,  59,   3,
   171,  57,   3, 173,  59,   2, 173,  58,   3, 173,  59,   2, 171,  58,   2, 174,  61,   3, 173,  60,   2, 173,  61,   1, 173,  62,   2, 172,  60,   2, 171,  59,   1, 171,  58,   2, 172,  60,   1, 172,  60,   3, 173,  60,   2, 172,  59,   2, 173,  61,   2, 173,  60,   2, 174,  61,   2, 173,  61,   2, 173,  60,   1,
   175,  60,   2, 173,  59,   2, 173,  61,   1, 173,  60,   2, 174,  61,   2, 171,  58,   2, 171,  59,   2, 172,  59,   2, 172,  58,   3, 172,  59,   1, 173,  59,   3, 174,  62,   2, 173,  60,   3, 172,  59,   2, 173,  59,   1, 174,  60,   2, 174,  59,   2, 175,  61,   2, 176,  61,   3, 176,  62,   2, 176,  62,   1,
   177,  60,   2, 176,  60,   2, 178,  61,   2, 178,  61,   2, 181,  62,   2, 181,  63,   2, 182,  62,   2, 181,  61,   2, 183,  63,   2, 183,  62,   3, 184,  63,   3, 185,  63,   2, 184,  63,   2, 185,  63,   3, 185,  63,   2, 187,  64,   2, 182,  63,   4, 173,  58,   2, 160,  49,   4, 141,  39,   8, 118,  28,  10,
    85,  16,  11,  47,   7,  14,  16,   2,  12,   2,   2,   4,   1,   1,   6,   0,   1,   6,   0,   1,  11,   2,   2,  21,   2,   8,  39,   3,  24,  75,   3,  44, 107,   3,  60, 130,   2,  73, 150,   8,  83, 162,  17,  90, 168,  25,  92, 168,  27,  85, 160,  27,  79, 152,  33,  83, 153,  29,  77, 148,  24,  75, 144,
    25,  73, 142,  24,  73, 141,  25,  72, 141,  22,  73, 141,  20,  73, 141,  21,  74, 141,  22,  74, 141,  23,  73, 141,  20,  72, 140,  19,  73, 140,  23,  76, 142,  24,  75, 142,  23,  76, 143,  24,  76, 143,  26,  78, 146,  23,  77, 146,  23,  76, 146,  21,  76, 145,  20,  75, 143,  22,  76, 143,  19,  73, 140,
    21,  72, 138,  17,  68, 133,  16,  66, 130,  15,  62, 124,  14,  57, 118,  14,  53, 110,  11,  46, 103,  11,  45,  98,  10,  43,  96,   8,  41,  94,   8,  42,  95,   8,  41,  95,  10,  42,  94,   8,  39,  90,   5,  34,  84,   4,  28,  78,   2,  29,  79,   2,  29,  80,   2,  24,  76,   1,  17,  68,   2,  14,  63,
     3,  11,  53,   1,   4,  32,   1,   1,   8,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   5,   1,   1,  19,   2,   4,  44,   2,   4,  72,   5,   1,  92,   9,   2, 104,  15,   3, 113,  19,   2, 114,  18,   2, 115,  19,   2, 113,  19,   2, 113,  18,   3, 112,  16,   2, 111,  15,   2, 108,  15,   2,
   105,  14,   2, 104,  15,   2, 104,  14,   2, 102,  12,   2, 102,  13,   2, 100,  11,   2,  99,  11,   3,  95,  10,   2,  93,   9,   2,  93,   8,   1,  92,   7,   2,  91,   6,   1,  91,   8,   2,  88,   6,   1, 105,  18,   2, 106,  18,   2, 105,  18,   1, 107,  19,   2, 106,  19,   2, 109,  22,   3, 110,  23,   2,
   111,  21,   2, 113,  22,   2, 114,  23,   2, 115,  23,   2, 117,  24,   2, 118,  25,   2, 119,  25,   2, 121,  25,   2, 124,  26,   2, 124,  26,   2, 125,  27,   3, 126,  28,   2, 127,  28,   1, 128,  30,   1, 130,  31,   2, 131,  30,   2, 132,  29,   1, 135,  34,   2, 138,  35,   2, 139,  36,   2, 142,  38,   2,
   141,  38,   2, 142,  39,   2, 143,  39,   2, 143,  39,   2, 144,  40,   2, 146,  40,   2, 146,  41,   2, 148,  42,   2, 149,  42,   2, 150,  42,   2, 152,  42,   2, 153,  43,   2, 152,  41,   2, 155,  44,   2, 155,  45,   2, 156,  47,   2, 156,  45,   2, 158,  48,   3, 157,  46,   2, 159,  49,   2, 160,  50,   2,
   162,  50,   2, 162,  51,   2, 163,  52,   2, 162,  50,   2, 163,  52,   2, 163,  51,   1, 165,  55,   3, 166,  53,   2, 166,  53,   2, 168,  54,   2, 170,  55,   2, 171,  54,   3, 170,  56,   3, 171,  56,   2, 170,  56,   2, 172,  57,   2, 170,  55,   1, 172,  58,   3, 173,  56,   3, 173,  58,   3, 173,  58,   2,
   173,  57,   2, 173,  60,   2, 173,  58,   2, 174,  59,   3, 173,  57,   2, 173,  58,   2, 174,  59,   2, 174,  60,   3, 173,  59,   2, 174,  60,   2, 175,  62,   2, 174,  59,   2, 174,  59,   2, 173,  59,   2, 174,  60,   3, 174,  60,   2, 174,  60,   2, 172,  59,   3, 173,  60,   2, 173,  61,   2, 173,  60,   2,
   171,  59,   2, 172,  59,   2, 173,  61,   2, 172,  60,   1, 173,  60,   1, 173,  60,   2, 173,  61,   1, 172,  60,   2, 172,  60,   2, 172,  59,   2, 172,  61,   2, 174,  62,   2, 174,  62,   2, 173,  60,   2, 174,  61,   1, 176,  63,   2, 174,  59,   2, 175,  62,   2, 174,  59,   2, 175,  60,   2, 174,  60,   2,
   173,  61,   2, 174,  60,   2, 174,  60,   3, 174,  60,   2, 174,  61,   2, 173,  59,   1, 175,  62,   2, 174,  60,   2, 175,  60,   2, 175,  61,   2, 175,  60,   2, 176,  62,   2, 176,  62,   2, 175,  62,   1, 175,  60,   2, 176,  63,   3, 177,  62,   2, 176,  61,   2, 179,  63,   2, 178,  60,   1, 179,  61,   1,
   182,  60,   3, 183,  63,   2, 183,  63,   3, 183,  63,   2, 183,  63,   3, 183,  62,   2, 185,  63,   3, 187,  64,   2, 186,  63,   3, 186,  64,   2, 186,  64,   3, 186,  63,   3, 184,  63,   3, 177,  58,   2, 165,  52,   3, 146,  42,   4, 124,  29,   6,  94,  20,   7,  56,   8,  11,  20,   3,  10,   4,   2,   5,
     0,   1,   2,   0,   1,   6,   1,   1,   8,   2,   2,  18,   2,   5,  34,   2,  19,  69,   3,  37,  99,   4,  51, 117,   3,  65, 136,   4,  76, 154,   3,  84, 162,   6,  87, 165,   9,  84, 160,   9,  77, 151,  14,  79, 151,  10,  76, 147,   8,  74, 144,   8,  72, 143,   9,  73, 142,   6,  69, 140,   6,  72, 142,
     9,  75, 144,   8,  74, 144,   7,  73, 143,   6,  73, 142,   7,  72, 141,   5,  74, 143,   7,  74, 142,   8,  75, 144,   6,  74, 143,   6,  74, 142,   8,  75, 144,   8,  75, 144,   7,  73, 145,   6,  71, 142,   5,  72, 141,   5,  71, 140,   5,  69, 138,   4,  68, 137,   5,  64, 132,   5,  63, 128,   4,  58, 123,
     4,  54, 117,   5,  49, 111,   2,  45, 104,   3,  42, 100,   2,  40,  97,   3,  39,  96,   3,  41,  98,   3,  41,  98,   3,  39,  95,   2,  36,  91,   2,  32,  85,   2,  26,  78,   2,  23,  74,   1,  21,  71,   3,  18,  68,   2,  14,  62,   3,  13,  58,   3,  10,  50,   2,   4,  33,   1,   2,  13,   1,   1,   4,
     1,   1,   2,   1,   1,   1,   1,   0,   1,   7,   1,   2,  24,   2,   4,  50,   2,   3,  75,   5,   1,  94,  10,   1, 108,  18,   2, 118,  23,   1, 116,  20,   3, 115,  19,   2, 114,  19,   2, 114,  18,   2, 112,  16,   1, 111,  16,   2, 110,  16,   2, 108,  15,   2, 105,  14,   2, 104,  14,   2, 104,  13,   2,
   102,  11,   2, 102,  12,   2,  99,  11,   2,  98,   9,   2,  98,  10,   3,  96,   9,   2,  94,   8,   1,  92,   6,   1,  91,   7,   1,  90,   7,   2, 105,  18,   2, 106,  19,   2, 106,  19,   1, 108,  21,   2, 109,  21,   2, 109,  19,   1, 111,  21,   2, 114,  23,   1, 115,  24,   2, 116,  24,   2, 117,  24,   2,
   117,  24,   1, 120,  25,   2, 122,  26,   2, 122,  25,   2, 124,  26,   2, 123,  26,   2, 125,  28,   1, 126,  26,   2, 128,  29,   1, 129,  31,   2, 130,  32,   2, 132,  33,   2, 132,  31,   2, 136,  32,   2, 138,  34,   2, 139,  34,   2, 141,  36,   2, 140,  36,   2, 141,  38,   3, 143,  38,   2, 145,  41,   2,
   145,  41,   2, 146,  39,   2, 148,  40,   2, 149,  44,   1, 150,  42,   2, 150,  42,   2, 152,  42,   2, 155,  44,   2, 153,  42,   2, 156,  46,   2, 157,  48,   3, 156,  47,   2, 158,  47,   2, 158,  48,   2, 159,  48,   2, 160,  51,   2, 162,  52,   2, 162,  50,   2, 163,  50,   2, 163,  50,   2, 165,  51,   2,
   165,  52,   2, 166,  53,   2, 167,  54,   2, 167,  54,   2, 167,  56,   2, 171,  56,   3, 170,  55,   2, 170,  56,   2, 171,  56,   2, 171,  55,   2, 170,  55,   2, 173,  56,   2, 170,  56,   2, 172,  56,   3, 174,  59,   2, 172,  58,   2, 172,  58,   3, 172,  58,   3, 174,  60,   2, 173,  57,   2, 174,  57,   3,
   175,  60,   2, 175,  60,   2, 173,  61,   2, 172,  60,   3, 174,  61,   3, 172,  60,   3, 174,  60,   2, 175,  61,   3, 174,  61,   2, 174,  62,   2, 173,  60,   2, 174,  62,   2, 173,  61,   2, 173,  61,   2, 173,  61,   2, 174,  62,   2, 171,  62,   2, 172,  62,   3, 173,  61,   2, 173,  60,   3, 173,  61,   2,
   174,  60,   2, 173,  61,   2, 172,  59,   2, 175,  62,   2, 175,  64,   2, 174,  63,   2, 175,  62,   2, 174,  61,   1, 175,  62,   1, 174,  62,   2, 175,  62,   1, 175,  62,   2, 176,  62,   2, 175,  62,   1, 176,  63,   2, 177,  62,   2, 176,  62,   2, 176,  62,   3, 176,  63,   2, 175,  63,   1, 175,  63,   2,
   174,  63,   2, 175,  63,   2, 175,  62,   2, 175,  61,   1, 176,  63,   2, 177,  63,   3, 175,  61,   2, 175,  61,   2, 176,  63,   2, 177,  63,   2, 177,  62,   2, 177,  63,   2, 178,  64,   2, 179,  63,   2, 179,  63,   3, 180,  61,   2, 182,  62,   2, 182,  63,   3, 185,  64,   3, 181,  63,   1, 183,  63,   2,
   185,  65,   2, 185,  63,   2, 185,  64,   2, 187,  65,   2, 188,  67,   3, 189,  67,   2, 189,  65,   2, 188,  64,   3, 186,  65,   3, 181,  62,   3, 169,  54,   4, 153,  45,   4, 129,  33,   6,  98,  21,   6,  63,  10,   9,  27,   2,  10,   8,   2,   8,   1,   2,   5,   1,   2,   7,   1,   1,  12,   1,   1,  18,
     3,   6,  36,   2,  18,  64,   3,  31,  89,   3,  42, 103,   3,  54, 120,   3,  63, 135,   3,  72, 146,   3,  76, 151,   3,  75, 151,   2,  70, 143,   3,  72, 144,   3,  69, 142,   3,  68, 140,   2,  69, 140,   3,  70, 138,   3,  68, 138,   2,  69, 139,   4,  69, 140,   3,  66, 137,   2,  66, 136,   3,  65, 135,
     3,  66, 136,   4,  67, 136,   3,  68, 137,   3,  68, 137,   2,  67, 137,   2,  68, 137,   3,  67, 137,   2,  66, 136,   3,  65, 135,   3,  65, 134,   3,  63, 131,   3,  62, 129,   3,  61, 128,   3,  60, 127,   3,  57, 125,   3,  55, 120,   3,  51, 115,   3,  47, 110,   2,  43, 104,   2,  42, 103,   2,  37,  99,
     2,  37,  98,   2,  38,  98,   1,  37,  96,   2,  37,  95,   3,  35,  91,   3,  32,  88,   3,  27,  80,   2,  21,  71,   2,  18,  66,   3,  16,  63,   2,  15,  61,   3,  12,  57,   2,   9,  53,   3,   6,  43,   2,   3,  30,   2,   2,  17,   0,   2,   8,   1,   1,   7,   0,   1,   5,   3,   1,   3,   8,   2,   5,
    26,   2,   5,  52,   3,   4,  80,   7,   2,  98,  12,   2, 111,  19,   2, 118,  22,   2, 119,  20,   2, 116,  20,   2, 117,  19,   2, 114,  18,   2, 113,  18,   2, 110,  15,   2, 111,  18,   2, 108,  15,   1, 105,  14,   1, 105,  14,   3, 104,  13,   1, 103,  13,   2, 103,  13,   2, 101,  11,   3, 100,  12,   1,
   100,  11,   2,  98,  10,   2,  95,   9,   2,  92,   7,   2,  91,   7,   2,  92,   7,   2, 106,  18,   2, 106,  18,   1, 108,  20,   2, 109,  22,   1, 108,  21,   2, 111,  21,   2, 111,  21,   2, 114,  23,   2, 115,  24,   2, 117,  25,   2, 117,  24,   2, 117,  24,   2, 122,  27,   2, 122,  26,   2, 123,  27,   2,
   124,  26,   2, 125,  28,   2, 126,  28,   2, 127,  29,   2, 129,  29,   2, 130,  30,   2, 130,  31,   2, 133,  32,   2, 134,  32,   2, 137,  35,   2, 139,  36,   2, 139,  35,   2, 141,  38,   3, 142,  38,   3, 142,  38,   2, 144,  38,   2, 147,  42,   2, 146,  41,   2, 148,  42,   2, 149,  41,   2, 150,  44,   2,
   149,  43,   2, 151,  44,   2, 152,  44,   2, 152,  44,   1, 154,  45,   3, 156,  47,   2, 155,  46,   3, 158,  47,   2, 160,  50,   2, 160,  50,   2, 161,  50,   2, 162,  51,   2, 162,  51,   3, 161,  50,   2, 163,  51,   1, 163,  51,   2, 164,  50,   2, 165,  53,   2, 166,  53,   3, 168,  53,   2, 170,  56,   3,
   168,  54,   2, 170,  55,   3, 170,  56,   3, 171,  57,   4, 170,  56,   2, 172,  57,   2, 173,  58,   2, 172,  56,   2, 173,  57,   3, 173,  57,   2, 173,  58,   2, 175,  60,   2, 173,  58,   2, 174,  60,   3, 173,  59,   2, 175,  60,   2, 174,  60,   1, 175,  61,   3, 174,  60,   3, 175,  61,   3, 173,  62,   1,
   176,  62,   3, 176,  62,   2, 175,  61,   2, 174,  61,   2, 175,  62,   2, 175,  62,   1, 174,  62,   3, 175,  64,   3, 174,  62,   2, 173,  61,   2, 174,  62,   2, 174,  63,   2, 173,  63,   2, 173,  63,   2, 172,  61,   2, 169,  60,   2, 172,  62,   2, 174,  62,   2, 175,  63,   2, 174,  61,   2, 174,  63,   1,
   175,  64,   2, 175,  64,   2, 175,  63,   2, 177,  65,   2, 176,  64,   2, 175,  62,   2, 178,  62,   3, 176,  62,   2, 177,  63,   2, 177,  63,   2, 176,  63,   1, 178,  65,   3, 177,  63,   2, 176,  62,   3, 177,  64,   2, 177,  64,   2, 175,  63,   2, 177,  65,   2, 177,  64,   3, 176,  63,   2, 176,  63,   2,
   177,  64,   2, 177,  64,   3, 176,  62,   2, 177,  62,   3, 178,  65,   2, 177,  63,   2, 179,  65,   2, 178,  64,   2, 178,  63,   2, 181,  65,   3, 180,  63,   2, 182,  64,   3, 182,  63,   2, 181,  63,   2, 184,  64,   3, 186,  65,   3, 184,  66,   2, 186,  67,   2, 186,  66,   3, 187,  66,   2, 188,  66,   3,
   190,  67,   2, 191,  68,   2, 190,  67,   2, 189,  66,   3, 188,  65,   2, 185,  64,   2, 172,  56,   3, 154,  45,   3, 131,  35,   8, 104,  25,  11,  70,  14,  15,  36,   5,  17,  15,   3,  16,   3,   2,  12,   2,   2,  16,   2,   2,  19,   2,   3,  26,   3,   5,  37,   2,  14,  57,   2,  24,  76,   3,  31,  90,
     2,  40, 103,   4,  50, 119,   2,  57, 126,   3,  62, 132,   3,  63, 131,   3,  60, 129,   3,  58, 128,   3,  59, 129,   3,  61, 131,   4,  61, 131,   3,  63, 132,   3,  62, 132,   3,  62, 131,   3,  60, 130,   4,  59, 130,   3,  57, 128,   2,  58, 128,   2,  58, 126,   3,  58, 127,   3,  56, 125,   3,  57, 126,
     3,  55, 124,   3,  54, 122,   3,  56, 125,   4,  54, 122,   3,  51, 120,   3,  50, 118,   4,  51, 116,   3,  49, 115,   3,  49, 113,   2,  46, 111,   3,  44, 109,   2,  44, 106,   2,  41, 107,   3,  39, 103,   2,  36,  98,   2,  34,  96,   2,  34,  95,   2,  33,  94,   2,  32,  93,   2,  31,  91,   3,  32,  89,
     2,  28,  85,   2,  26,  81,   2,  22,  75,   3,  18,  67,   3,  13,  61,   2,  11,  56,   3,  10,  54,   3,   9,  54,   2,   6,  46,   3,   4,  39,   1,   2,  30,   1,   2,  21,   1,   1,  14,   1,   1,  13,   0,   1,  10,   2,   2,   8,   8,   2,   7,  25,   2,   6,  53,   4,   5,  78,   7,   2,  98,  13,   2,
   113,  20,   2, 119,  23,   2, 119,  23,   2, 119,  21,   2, 117,  19,   2, 116,  19,   3, 114,  19,   2, 113,  19,   2, 111,  17,   2, 111,  16,   2, 109,  16,   2, 107,  15,   2, 105,  15,   2, 104,  14,   1, 103,  13,   2, 103,  13,   2, 101,  12,   2, 100,  11,   2,  99,   9,   2,  97,   9,   2,  95,   8,   2,
    93,   8,   2,  91,   8,   1, 106,  18,   2, 108,  20,   2, 108,  21,   2, 109,  20,   2, 110,  21,   1, 111,  23,   2, 113,  23,   2, 114,  23,   1, 116,  24,   2, 117,  24,   1, 118,  25,   2, 119,  26,   1, 122,  26,   2, 124,  27,   2, 123,  26,   2, 125,  26,   2, 126,  27,   2, 127,  28,   2, 127,  27,   2,
   129,  31,   1, 131,  32,   3, 131,  31,   1, 134,  33,   3, 137,  33,   3, 137,  34,   2, 141,  36,   2, 142,  37,   3, 142,  37,   1, 141,  38,   2, 144,  40,   2, 145,  39,   2, 145,  40,   2, 148,  41,   2, 149,  42,   3, 149,  42,   1, 150,  43,   2, 150,  43,   2, 151,  43,   2, 151,  45,   2, 153,  46,   2,
   154,  46,   3, 155,  47,   3, 156,  46,   2, 158,  48,   3, 158,  49,   2, 160,  50,   2, 160,  49,   2, 162,  51,   2, 164,  52,   2, 164,  51,   2, 164,  52,   2, 165,  51,   2, 167,  54,   3, 166,  53,   1, 166,  54,   3, 167,  53,   2, 170,  56,   3, 170,  55,   2, 170,  56,   3, 171,  57,   3, 170,  55,   2,
   172,  58,   2, 173,  59,   2, 173,  57,   3, 173,  59,   2, 173,  58,   2, 173,  60,   2, 172,  58,   2, 173,  59,   2, 174,  60,   3, 174,  61,   2, 174,  60,   2, 174,  60,   2, 176,  61,   2, 175,  61,   2, 174,  60,   3, 175,  60,   3, 173,  61,   2, 176,  62,   2, 174,  61,   3, 174,  62,   2, 174,  62,   2,
   175,  62,   2, 175,  62,   1, 175,  62,   2, 173,  62,   1, 174,  63,   2, 175,  64,   3, 172,  61,   1, 175,  63,   2, 174,  62,   2, 173,  62,   2, 175,  64,   2, 175,  64,   3, 175,  65,   3, 175,  63,   3, 174,  62,   2, 176,  65,   2, 176,  65,   3, 177,  65,   3, 175,  64,   2, 174,  63,   1, 176,  65,   3,
   176,  63,   2, 178,  65,   2, 177,  63,   2, 178,  64,   3, 178,  64,   3, 178,  64,   3, 177,  65,   2, 177,  64,   2, 176,  63,   2, 177,  64,   2, 177,  63,   2, 177,  65,   3, 177,  64,   2, 176,  64,   2, 177,  63,   2, 177,  66,   2, 176,  63,   2, 177,  63,   2, 178,  65,   2, 177,  63,   2, 178,  64,   2,
   178,  64,   2, 179,  64,   2, 179,  65,   3, 179,  64,   2, 180,  65,   2, 181,  66,   2, 181,  66,   3, 182,  66,   3, 182,  66,   2, 184,  66,   2, 184,  65,   2, 187,  66,   2, 187,  66,   2, 188,  65,   2, 188,  66,   2, 189,  67,   3, 190,  67,   2, 190,  67,   3, 190,  68,   2, 191,  68,   2, 189,  65,   2,
   189,  66,   2, 186,  65,   4, 174,  58,   2, 154,  48,   3, 135,  39,  10, 106,  25,  12,  73,  16,  18,  47,   8,  23,  26,   4,  26,   9,   4,  25,   5,   4,  28,   4,   5,  33,   4,   4,  36,   4,   7,  43,   3,  11,  55,   3,  17,  68,   2,  23,  79,   2,  31,  90,   2,  36,  99,   3,  41, 105,   3,  43, 108,
     2,  45, 111,   3,  43, 109,   3,  46, 113,   3,  48, 116,   2,  48, 119,   3,  49, 121,   3,  52, 124,   3,  51, 123,   2,  50, 122,   3,  50, 122,   3,  48, 119,   4,  47, 118,   3,  47, 118,   2,  46, 117,   3,  45, 117,   3,  45, 117,   3,  45, 117,   3,  43, 115,   3,  43, 116,   3,  41, 113,   3,  40, 112,
     2,  40, 110,   3,  39, 108,   3,  35, 105,   2,  35, 101,   3,  35,  99,   2,  35,  99,   3,  33,  97,   2,  32,  95,   2,  29,  94,   2,  29,  92,   4,  28,  90,   3,  29,  88,   2,  26,  87,   2,  25,  86,   2,  25,  87,   3,  27,  86,   2,  23,  83,   3,  21,  79,   2,  20,  75,   3,  18,  72,   3,  13,  63,
     2,   9,  57,   2,   8,  53,   2,   7,  51,   2,   7,  47,   2,   5,  44,   1,   2,  36,   1,   1,  31,   1,   2,  27,   2,   2,  24,   2,   2,  22,   2,   1,  19,   1,   1,  15,   8,   1,  12,  29,   3,  13,  54,   5,   8,  79,   8,   2,  98,  14,   2, 112,  20,   2, 119,  23,   3, 119,  22,   2, 120,  22,   2,
   118,  21,   2, 116,  19,   1, 114,  20,   2, 114,  19,   2, 113,  19,   3, 109,  17,   2, 110,  16,   1, 107,  16,   1, 104,  15,   2, 106,  13,   2, 104,  13,   2, 103,  12,   3, 101,  10,   2, 102,  12,   2, 100,  11,   3,  98,   9,   2,  97,   9,   2,  94,   9,   2,  93,   8,   2, 106,  19,   2, 108,  21,   3,
   109,  21,   2, 109,  20,   2, 112,  23,   2, 111,  23,   2, 114,  24,   2, 116,  24,   3, 116,  23,   2, 118,  25,   1, 119,  27,   1, 120,  25,   2, 123,  29,   1, 124,  28,   2, 123,  27,   2, 126,  27,   2, 125,  27,   3, 127,  28,   2, 127,  29,   2, 130,  32,   2, 130,  31,   2, 131,  31,   2, 134,  31,   2,
   135,  34,   2, 138,  35,   3, 140,  36,   2, 140,  36,   2, 142,  38,   2, 142,  38,   2, 144,  41,   2, 146,  41,   2, 145,  41,   2, 147,  42,   2, 148,  42,   2, 148,  42,   1, 150,  44,   2, 151,  45,   2, 152,  45,   2, 153,  46,   2, 155,  47,   2, 153,  46,   2, 157,  48,   2, 158,  49,   2, 159,  49,   2,
   160,  49,   2, 161,  49,   3, 160,  49,   2, 161,  50,   2, 163,  52,   2, 165,  54,   2, 163,  52,   2, 167,  54,   2, 165,  53,   2, 166,  55,   2, 168,  55,   3, 169,  55,   3, 169,  56,   2, 170,  57,   1, 169,  56,   3, 170,  56,   2, 170,  57,   2, 171,  57,   3, 171,  58,   3, 173,  59,   2, 172,  58,   2,
   172,  60,   1, 173,  59,   2, 174,  61,   3, 173,  60,   2, 173,  60,   2, 175,  60,   3, 176,  62,   2, 175,  61,   1, 177,  63,   3, 176,  63,   2, 175,  61,   1, 176,  63,   2, 174,  61,   2, 174,  62,   2, 174,  62,   2, 173,  61,   2, 176,  65,   2, 174,  64,   2, 174,  63,   1, 174,  65,   2, 173,  63,   2,
   173,  64,   1, 175,  64,   2, 175,  63,   2, 176,  63,   2, 175,  62,   1, 176,  64,   2, 174,  63,   2, 175,  64,   2, 174,  64,   2, 177,  65,   2, 176,  65,   2, 177,  63,   2, 175,  65,   2, 175,  63,   2, 177,  65,   2, 176,  65,   2, 178,  65,   2, 178,  65,   2, 178,  65,   2, 180,  66,   3, 177,  62,   2,
   178,  65,   2, 177,  64,   2, 178,  65,   2, 178,  65,   2, 178,  65,   2, 178,  66,   3, 178,  65,   2, 178,  65,   2, 177,  64,   2, 177,  63,   2, 178,  64,   2, 178,  64,   3, 177,  63,   2, 178,  63,   3, 178,  65,   1, 179,  65,   2, 179,  65,   2, 177,  64,   2, 178,  64,   2, 179,  65,   2, 180,  66,   3,
   181,  65,   2, 180,  65,   1, 183,  67,   3, 183,  67,   2, 185,  68,   2, 185,  67,   2, 185,  68,   2, 188,  67,   2, 187,  67,   3, 188,  67,   2, 189,  67,   2, 190,  68,   2, 191,  67,   4, 190,  66,   2, 191,  68,   1, 191,  68,   2, 191,  67,   3, 190,  67,   2, 187,  65,   4, 175,  58,   2, 157,  51,   7,
   137,  41,  16, 109,  28,  21,  80,  19,  26,  59,  15,  29,  36,   6,  36,  18,   6,  38,  10,   8,  40,   9,  10,  45,   5,   7,  46,   3,   8,  51,   3,  11,  57,   4,  14,  65,   3,  17,  73,   3,  21,  79,   3,  24,  84,   4,  25,  86,   3,  29,  90,   2,  28,  91,   2,  31,  96,   4,  35, 103,   2,  36, 109,
     3,  38, 113,   2,  39, 115,   3,  40, 118,   3,  41, 119,   3,  39, 117,   2,  39, 116,   2,  37, 112,   2,  36, 111,   2,  36, 111,   3,  35, 111,   2,  36, 111,   2,  34, 111,   2,  33, 110,   3,  35, 111,   2,  31, 108,   2,  31, 106,   2,  31, 106,   3,  29, 105,   3,  25,  99,   3,  25,  96,   2,  24,  94,
     1,  25,  90,   2,  23,  88,   3,  23,  86,   2,  21,  85,   2,  20,  85,   2,  21,  84,   2,  19,  83,   3,  19,  82,   2,  17,  80,   3,  15,  78,   2,  16,  80,   3,  18,  81,   2,  19,  79,   1,  19,  77,   2,  18,  74,   2,  15,  67,   2,  13,  66,   3,   9,  58,   2,   5,  51,   2,   6,  48,   2,   4,  45,
     2,   3,  42,   1,   2,  36,   2,   1,  36,   1,   1,  35,   2,   2,  33,   1,   1,  32,   2,   2,  28,   2,   3,  24,   5,   2,  18,  25,   4,  19,  52,   6,  13,  76,   9,   5,  97,  17,   1, 113,  20,   2, 119,  24,   2, 120,  23,   3, 119,  22,   2, 118,  22,   2, 117,  20,   2, 115,  18,   2, 114,  20,   2,
   113,  19,   2, 113,  19,   2, 111,  17,   3, 110,  16,   2, 107,  15,   1, 106,  14,   1, 104,  15,   1, 103,  13,   2, 103,  12,   2, 102,  12,   2,  99,   9,   2,  97,   8,   2,  96,   9,   2,  94,  10,   2,  93,   9,   3, 107,  20,   2, 108,  21,   2, 109,  22,   2, 109,  23,   2, 109,  23,   2, 112,  23,   2,
   115,  24,   2, 118,  25,   2, 119,  25,   2, 120,  27,   2, 121,  28,   2, 121,  28,   1, 123,  27,   3, 124,  28,   2, 124,  27,   2, 125,  28,   1, 126,  28,   1, 128,  30,   2, 130,  31,   2, 130,  30,   2, 132,  32,   2, 132,  32,   2, 133,  34,   2, 135,  34,   2, 138,  37,   3, 139,  37,   3, 142,  39,   2,
   142,  38,   2, 143,  37,   2, 143,  41,   2, 145,  40,   2, 146,  39,   1, 148,  41,   3, 148,  42,   3, 149,  42,   1, 152,  44,   3, 151,  43,   2, 152,  46,   2, 153,  47,   3, 154,  46,   2, 156,  47,   3, 156,  47,   3, 158,  48,   3, 159,  49,   2, 160,  49,   1, 161,  51,   2, 162,  50,   2, 162,  50,   2,
   164,  53,   2, 165,  54,   2, 164,  52,   2, 166,  53,   1, 164,  54,   3, 167,  54,   2, 168,  57,   2, 169,  55,   3, 169,  55,   2, 169,  56,   3, 170,  56,   3, 170,  59,   2, 171,  58,   2, 171,  57,   2, 170,  57,   2, 172,  59,   2, 172,  59,   2, 172,  61,   3, 173,  61,   2, 172,  60,   2, 172,  61,   3,
   173,  59,   2, 173,  62,   2, 174,  62,   3, 173,  61,   2, 174,  60,   2, 175,  63,   2, 176,  62,   2, 175,  64,   2, 175,  63,   2, 175,  63,   2, 174,  61,   1, 174,  63,   2, 175,  63,   2, 174,  63,   2, 175,  64,   3, 173,  64,   2, 174,  65,   2, 174,  64,   3, 176,  65,   2, 175,  64,   2, 176,  64,   2,
   176,  64,   3, 176,  64,   2, 176,  66,   3, 176,  66,   2, 177,  65,   3, 178,  66,   1, 176,  64,   2, 179,  67,   2, 177,  63,   2, 177,  64,   2, 178,  65,   2, 177,  65,   2, 178,  64,   2, 179,  65,   2, 179,  65,   3, 179,  66,   2, 178,  65,   2, 178,  65,   2, 178,  67,   1, 178,  65,   2, 178,  65,   2,
   177,  64,   2, 179,  66,   3, 178,  64,   2, 179,  65,   2, 178,  64,   2, 178,  65,   3, 178,  65,   2, 179,  67,   2, 178,  66,   2, 179,  65,   2, 179,  65,   3, 179,  64,   1, 177,  64,   1, 179,  65,   2, 179,  65,   3, 180,  66,   2, 181,  67,   3, 181,  65,   2, 183,  68,   2, 182,  68,   2, 183,  67,   2,
   184,  66,   2, 186,  68,   2, 187,  68,   2, 188,  68,   2, 188,  68,   3, 190,  67,   2, 190,  68,   2, 190,  68,   3, 191,  68,   2, 191,  68,   1, 191,  69,   2, 192,  69,   2, 193,  69,   2, 192,  69,   2, 186,  65,   2, 175,  60,   5, 156,  52,  10, 136,  42,  21, 112,  32,  28,  87,  25,  34,  69,  21,  37,
    46,  10,  46,  29,   6,  50,  21,  11,  52,  13,  13,  54,   7,  15,  60,   2,  11,  59,   3,  10,  61,   2,  10,  65,   3,  11,  67,   2,  14,  72,   2,  15,  76,   2,  16,  78,   3,  18,  83,   3,  20,  87,   2,  24,  93,   2,  27, 101,   3,  30, 107,   3,  32, 113,   2,  32, 115,   3,  33, 117,   2,  30, 117,
     3,  28, 115,   3,  29, 116,   2,  28, 113,   2,  27, 111,   2,  26, 111,   2,  25, 109,   2,  24, 108,   3,  25, 110,   2,  24, 109,   3,  24, 109,   3,  23, 107,   3,  25, 107,   2,  21, 103,   2,  17,  98,   3,  17,  94,   3,  15,  92,   2,  14,  87,   3,  15,  84,   3,  13,  81,   2,  10,  77,   2,  12,  78,
     3,  10,  75,   2,  13,  75,   3,  10,  74,   2,   8,  71,   3,   8,  72,   3,   8,  73,   2,   9,  74,   2,  10,  75,   3,  13,  75,   2,  12,  72,   2,  13,  71,   2,  11,  66,   2,   9,  64,   2,   6,  57,   3,   5,  51,   3,   3,  48,   3,   4,  45,   2,   3,  41,   1,   1,  38,   1,   2,  38,   2,   2,  39,
     1,   2,  40,   2,   3,  40,   1,   2,  35,   1,   2,  31,   5,   2,  29,  21,   5,  27,  49,   9,  20,  72,  11,  10,  94,  17,   2, 110,  22,   1, 117,  24,   2, 122,  24,   2, 121,  23,   2, 120,  23,   3, 118,  22,   2, 116,  20,   1, 116,  21,   2, 114,  19,   2, 113,  19,   3, 112,  18,   1, 110,  17,   2,
   107,  17,   2, 106,  15,   2, 105,  14,   1, 104,  13,   2, 103,  14,   2, 103,  13,   2, 102,  13,   2, 100,  12,   2,  99,  11,   2,  97,  11,   3,  92,  10,   1, 108,  21,   2, 108,  22,   2, 107,  21,   1, 110,  23,   3, 111,  23,   1, 114,  24,   3, 114,  23,   2, 117,  24,   3, 119,  26,   2, 120,  26,   2,
   121,  28,   2, 122,  28,   2, 124,  29,   3, 124,  28,   2, 126,  29,   2, 126,  29,   2, 126,  30,   3, 129,  31,   2, 129,  31,   1, 130,  31,   2, 131,  32,   2, 133,  34,   2, 135,  37,   2, 137,  36,   2, 137,  37,   2, 139,  36,   2, 140,  37,   2, 142,  38,   2, 143,  39,   2, 145,  40,   2, 146,  41,   2,
   146,  39,   2, 148,  41,   2, 149,  42,   2, 150,  43,   3, 151,  43,   2, 152,  44,   2, 153,  46,   3, 155,  48,   3, 155,  47,   3, 157,  47,   3, 159,  49,   2, 159,  48,   2, 159,  49,   1, 161,  50,   2, 160,  50,   2, 161,  51,   2, 163,  50,   2, 164,  52,   2, 164,  53,   2, 165,  54,   2, 165,  54,   2,
   166,  55,   2, 167,  55,   2, 168,  57,   3, 167,  55,   2, 170,  56,   2, 171,  58,   2, 168,  55,   2, 169,  57,   3, 170,  57,   3, 169,  58,   2, 171,  57,   2, 172,  58,   2, 172,  60,   3, 172,  62,   3, 172,  60,   2, 173,  61,   2, 172,  62,   2, 173,  61,   2, 174,  62,   3, 173,  61,   2, 175,  63,   3,
   175,  63,   2, 175,  63,   1, 175,  62,   2, 174,  64,   2, 175,  63,   3, 175,  62,   3, 174,  63,   2, 175,  65,   2, 174,  65,   2, 173,  63,   2, 174,  62,   1, 174,  64,   3, 174,  64,   2, 174,  63,   2, 175,  64,   2, 178,  65,   3, 176,  64,   2, 176,  65,   3, 179,  68,   2, 177,  65,   2, 176,  65,   3,
   177,  65,   2, 178,  65,   2, 177,  64,   1, 178,  65,   2, 179,  66,   3, 179,  65,   2, 179,  65,   3, 179,  66,   2, 179,  66,   2, 180,  68,   1, 179,  67,   3, 179,  67,   3, 178,  65,   2, 180,  68,   2, 179,  66,   2, 179,  65,   2, 180,  67,   2, 179,  66,   2, 179,  67,   2, 179,  67,   3, 180,  66,   2,
   179,  65,   2, 179,  66,   2, 179,  66,   2, 178,  65,   2, 179,  67,   1, 180,  68,   2, 180,  67,   2, 181,  68,   2, 181,  68,   2, 181,  66,   2, 178,  65,   3, 180,  66,   3, 181,  65,   2, 183,  67,   3, 183,  67,   3, 183,  68,   2, 184,  67,   3, 185,  68,   2, 185,  67,   2, 188,  69,   3, 189,  68,   2,
   192,  69,   3, 189,  67,   2, 191,  68,   3, 192,  69,   3, 191,  69,   3, 192,  69,   2, 192,  70,   2, 194,  70,   2, 193,  68,   2, 192,  70,   3, 185,  63,   3, 174,  59,   4, 158,  55,  19, 137,  43,  29, 115,  36,  37,  93,  29,  40,  78,  25,  44,  57,  14,  57,  42,  11,  62,  34,  11,  65,  29,  19,  67,
    15,  19,  68,   3,  14,  67,   2,   9,  65,   3,   8,  66,   3,   8,  70,   4,   9,  73,   3,  11,  75,   2,  12,  77,   4,  15,  83,   3,  17,  86,   2,  24,  97,   3,  25, 104,   2,  24, 107,   3,  27, 113,   3,  25, 115,   1,  26, 117,   2,  23, 119,   3,  19, 116,   3,  19, 114,   2,  19, 111,   3,  17, 109,
     3,  15, 107,   3,  16, 107,   4,  16, 107,   2,  14, 106,   2,  13, 107,   3,  13, 106,   2,  11, 104,   3,  10, 101,   3,   9,  99,   3,   7,  95,   2,   6,  90,   3,   5,  84,   3,   5,  80,   2,   5,  73,   3,   4,  69,   2,   3,  65,   2,   3,  63,   2,   2,  61,   4,   5,  62,   2,   3,  60,   2,   4,  61,
     2,   3,  61,   2,   4,  64,   3,   4,  67,   3,   6,  69,   3,   7,  69,   3,   6,  68,   3,   9,  68,   3,   8,  67,   2,   8,  65,   3,   6,  60,   2,   4,  52,   3,   3,  49,   2,   2,  46,   3,   2,  43,   2,   2,  41,   2,   2,  41,   2,   1,  43,   3,   2,  44,   2,   2,  44,   2,   2,  42,   2,   2,  40,
     4,   3,  34,  17,   7,  32,  46,  10,  26,  69,  14,  16,  91,  17,   5, 108,  23,   3, 119,  25,   2, 121,  24,   2, 120,  22,   2, 122,  23,   1, 119,  22,   2, 119,  21,   2, 117,  22,   2, 115,  20,   2, 114,  19,   3, 113,  18,   3, 111,  18,   2, 109,  17,   1, 107,  16,   2, 106,  16,   2, 105,  16,   2,
   105,  14,   2, 102,  13,   2, 101,  12,   1, 101,  12,   3,  98,  13,   2,  97,  11,   3,  96,  11,   2, 108,  20,   2, 109,  22,   3, 110,  23,   2, 110,  24,   2, 112,  24,   2, 116,  25,   1, 117,  25,   2, 120,  26,   2, 119,  26,   1, 120,  26,   2, 122,  28,   2, 123,  29,   2, 123,  27,   1, 125,  28,   2,
   125,  29,   2, 126,  29,   2, 129,  31,   2, 130,  33,   2, 132,  33,   3, 131,  33,   2, 132,  33,   2, 134,  34,   3, 134,  35,   3, 137,  35,   3, 138,  37,   3, 140,  38,   2, 142,  38,   2, 143,  39,   2, 144,  40,   2, 143,  40,   2, 147,  41,   3, 147,  42,   2, 148,  42,   2, 150,  43,   2, 151,  43,   2,
   152,  44,   2, 154,  45,   2, 153,  45,   2, 155,  47,   3, 157,  47,   2, 157,  47,   3, 158,  49,   2, 159,  48,   2, 160,  50,   1, 161,  51,   1, 160,  49,   2, 161,  51,   2, 162,  51,   1, 163,  53,   2, 163,  53,   2, 166,  54,   2, 166,  55,   3, 166,  56,   2, 166,  56,   2, 167,  56,   3, 169,  55,   2,
   169,  58,   2, 170,  57,   2, 169,  58,   2, 170,  58,   2, 170,  58,   2, 170,  58,   2, 170,  61,   2, 170,  59,   1, 170,  60,   3, 171,  59,   2, 171,  60,   2, 171,  60,   2, 173,  62,   4, 175,  61,   3, 173,  62,   3, 173,  62,   2, 174,  61,   3, 175,  63,   2, 173,  63,   3, 175,  64,   3, 174,  64,   2,
   174,  62,   2, 175,  62,   3, 174,  62,   2, 174,  64,   2, 174,  64,   3, 175,  64,   3, 175,  64,   2, 174,  65,   2, 176,  65,   2, 174,  63,   2, 175,  66,   3, 176,  65,   1, 177,  64,   2, 178,  65,   3, 177,  65,   2, 177,  66,   2, 177,  67,   2, 177,  66,   2, 178,  65,   2, 179,  66,   2, 179,  66,   2,
   179,  66,   1, 180,  66,   2, 180,  68,   2, 179,  66,   2, 179,  68,   2, 179,  67,   2, 178,  66,   2, 179,  67,   2, 179,  67,   3, 180,  67,   3, 180,  67,   2, 179,  66,   2, 180,  68,   2, 181,  68,   3, 179,  66,   2, 180,  66,   2, 180,  67,   3, 180,  67,   3, 181,  68,   3, 178,  66,   3, 179,  68,   1,
   177,  65,   2, 177,  65,   2, 178,  64,   2, 180,  67,   3, 180,  67,   2, 181,  67,   3, 181,  67,   2, 183,  69,   2, 184,  69,   2, 183,  67,   2, 184,  69,   2, 183,  67,   2, 186,  69,   1, 186,  68,   2, 187,  69,   1, 189,  68,   3, 189,  70,   2, 192,  71,   2, 190,  69,   2, 191,  68,   2, 192,  70,   2,
   193,  72,   2, 194,  71,   1, 194,  71,   2, 194,  70,   2, 194,  70,   2, 193,  71,   2, 184,  66,   3, 172,  59,   7, 155,  53,  21, 136,  45,  34, 117,  39,  42, 100,  33,  46,  86,  29,  45,  69,  19,  61,  57,  16,  72,  49,  13,  75,  37,  16,  73,  24,  20,  72,   8,  15,  72,   3,  11,  69,   3,   9,  70,
     3,   7,  70,   2,   7,  72,   2,  11,  76,   4,   8,  77,   2,  12,  82,   2,  16,  90,   3,  20,  97,   2,  20, 101,   3,  19, 106,   3,  19, 111,   2,  18, 116,   3,  14, 117,   3,  11, 115,   2,  10, 115,   2,   7, 112,   3,   6, 108,   2,   6, 106,   1,   6, 103,   2,   6, 102,   1,   4, 102,   2,   6, 105,
     1,   5, 104,   1,   4, 103,   2,   3, 101,   2,   4,  97,   2,   2,  92,   2,   2,  88,   1,   2,  82,   2,   2,  76,   2,   1,  69,   3,   3,  65,   3,   2,  60,   4,   3,  55,   3,   1,  53,   4,   2,  53,   3,   2,  51,   2,   1,  50,   3,   2,  52,   2,   2,  56,   2,   2,  61,   3,   4,  63,   2,   7,  65,
     3,   8,  66,   4,   9,  67,   4,  10,  66,   4,  10,  65,   2,   7,  63,   3,   7,  61,   2,   5,  54,   4,   4,  50,   5,   3,  46,   8,   4,  45,   9,   3,  46,   9,   3,  47,   8,   4,  46,   6,   4,  47,   4,   3,  48,   3,   3,  48,   4,   4,  45,   3,   5,  39,  14,   8,  37,  39,   8,  33,  65,  12,  20,
    89,  18,  10, 106,  23,   4, 118,  25,   2, 121,  24,   2, 123,  22,   2, 124,  24,   2, 121,  23,   2, 120,  22,   2, 118,  22,   3, 116,  21,   2, 116,  20,   2, 112,  20,   1, 111,  18,   2, 110,  17,   2, 107,  16,   2, 108,  17,   2, 105,  15,   2, 105,  15,   2, 103,  14,   2, 103,  13,   2, 101,  13,   2,
    98,  11,   3,  97,  11,   2,  96,  11,   2, 109,  22,   3, 110,  23,   3, 110,  23,   2, 112,  24,   3, 116,  25,   2, 116,  23,   1, 118,  26,   2, 120,  25,   2, 119,  24,   2, 121,  27,   2, 123,  28,   2, 124,  27,   2, 125,  30,   2, 127,  29,   2, 127,  29,   2, 127,  30,   3, 129,  32,   3, 131,  31,   2,
   131,  32,   2, 133,  34,   3, 134,  34,   2, 135,  36,   2, 137,  37,   2, 139,  37,   2, 139,  37,   3, 140,  37,   2, 142,  38,   2, 143,  39,   2, 144,  40,   2, 146,  41,   2, 146,  41,   3, 148,  42,   2, 149,  42,   2, 151,  43,   1, 152,  44,   2, 153,  45,   2, 154,  45,   2, 155,  47,   2, 156,  48,   2,
   156,  48,   2, 158,  48,   2, 159,  49,   2, 159,  49,   2, 161,  51,   2, 161,  51,   2, 164,  53,   2, 162,  52,   2, 163,  52,   2, 164,  54,   2, 165,  54,   3, 165,  53,   2, 166,  55,   2, 168,  56,   2, 167,  56,   2, 168,  56,   2, 167,  56,   2, 168,  58,   2, 168,  58,   2, 168,  57,   2, 169,  58,   2,
   169,  58,   2, 172,  59,   2, 168,  58,   2, 170,  60,   3, 170,  59,   3, 171,  59,   2, 173,  61,   2, 174,  62,   3, 174,  60,   3, 173,  59,   3, 174,  62,   3, 175,  61,   3, 172,  61,   2, 175,  66,   5, 174,  63,   3, 174,  63,   2, 174,  64,   2, 173,  63,   3, 174,  65,   3, 176,  67,   3, 175,  65,   3,
   175,  63,   1, 177,  65,   3, 175,  65,   2, 176,  66,   3, 176,  64,   1, 175,  66,   2, 176,  66,   2, 177,  65,   2, 178,  67,   3, 177,  65,   2, 178,  65,   1, 177,  66,   2, 177,  66,   2, 177,  66,   2, 179,  68,   2, 179,  67,   2, 179,  67,   2, 180,  67,   3, 181,  69,   2, 179,  67,   3, 181,  70,   3,
   179,  67,   2, 180,  67,   3, 181,  69,   2, 180,  66,   3, 179,  67,   3, 180,  68,   2, 182,  68,   3, 182,  69,   2, 180,  66,   2, 180,  67,   2, 179,  66,   3, 181,  68,   2, 180,  67,   1, 181,  68,   4, 178,  67,   1, 177,  67,   3, 173,  64,   3, 171,  62,   2, 170,  62,   2, 172,  62,   2, 175,  64,   2,
   179,  67,   1, 180,  69,   2, 183,  71,   3, 184,  70,   3, 183,  70,   2, 185,  70,   2, 185,  70,   2, 186,  69,   2, 185,  68,   2, 187,  69,   2, 189,  70,   2, 189,  69,   2, 192,  70,   2, 192,  70,   1, 192,  70,   1, 192,  71,   2, 192,  70,   2, 193,  71,   3, 194,  71,   2, 195,  73,   2, 195,  71,   2,
   196,  71,   3, 193,  70,   1, 185,  67,   5, 172,  62,  11, 156,  55,  27, 135,  45,  40, 120,  41,  48, 105,  37,  51,  93,  32,  50,  82,  26,  63,  72,  21,  74,  67,  18,  81,  56,  16,  81,  39,  15,  79,  19,  14,  71,   7,  11,  70,   5,  12,  70,   4,  11,  70,   4,  10,  73,   3,  11,  77,   3,   9,  79,
     3,  11,  84,   2,  16,  90,   3,  20,  97,   3,  22, 103,   5,  19, 106,   4,  18, 110,   3,  16, 112,   3,  12, 115,   3,  11, 117,   2,   7, 113,   3,   6, 110,   4,   5, 106,   8,   7, 104,   9,   8, 101,  11,   8, 101,  12,   8,  99,  11,   7,  99,   9,   7, 100,   4,   5,  98,   4,   4,  98,   3,   3,  94,
     3,   2,  89,   6,   2,  82,   9,   3,  79,  13,   2,  71,  19,   3,  68,  27,   3,  65,  29,   2,  63,  30,   2,  57,  29,   2,  56,  24,   2,  54,  20,   3,  53,  12,   2,  53,   5,   3,  50,   5,   3,  53,   7,   4,  56,  10,   6,  63,  14,   8,  64,  20,  10,  67,  23,  15,  68,  18,  14,  65,  12,  14,  63,
     7,   9,  60,   6,   9,  59,   9,   8,  55,  16,   7,  54,  27,   5,  54,  37,   3,  55,  42,   2,  54,  42,   3,  54,  37,   2,  55,  25,   3,  53,  13,   5,  50,   7,   5,  48,   4,   4,  45,   4,   6,  42,  13,   8,  39,  37,  10,  38,  65,  16,  26,  83,  17,  15, 104,  23,   7, 117,  25,   2, 121,  26,   2,
   124,  26,   3, 123,  24,   1, 122,  24,   2, 120,  23,   2, 119,  22,   2, 117,  21,   1, 117,  21,   2, 115,  21,   2, 113,  19,   2, 110,  18,   2, 109,  18,   2, 108,  17,   2, 105,  15,   2, 104,  15,   1, 104,  14,   2, 101,  15,   2,  99,  14,   1,  98,  14,   1,  99,  11,   3,  97,  10,   2, 110,  23,   3,
   111,  24,   3, 113,  23,   1, 114,  24,   1, 117,  25,   2, 118,  25,   2, 119,  25,   2, 120,  25,   2, 121,  26,   2, 122,  27,   2, 123,  27,   3, 125,  28,   2, 126,  29,   2, 127,  30,   2, 128,  30,   2, 129,  31,   2, 130,  32,   2, 131,  31,   2, 134,  34,   2, 133,  31,   2, 135,  35,   2, 136,  35,   2,
   138,  36,   2, 140,  38,   3, 141,  39,   2, 142,  39,   2, 144,  39,   2, 143,  40,   1, 145,  42,   2, 147,  41,   2, 148,  42,   1, 149,  43,   2, 150,  44,   2, 151,  45,   2, 153,  45,   3, 155,  46,   2, 155,  46,   3, 155,  47,   2, 157,  49,   2, 157,  48,   2, 158,  50,   2, 159,  49,   1, 159,  49,   2,
   161,  51,   2, 163,  52,   2, 163,  53,   2, 164,  54,   2, 165,  54,   2, 165,  54,   2, 165,  54,   3, 165,  55,   2, 166,  55,   3, 167,  54,   2, 168,  57,   2, 168,  59,   3, 168,  57,   3, 169,  58,   2, 169,  58,   3, 169,  58,   3, 167,  56,   1, 171,  60,   3, 171,  59,   2, 170,  58,   3, 171,  60,   3,
   171,  61,   3, 172,  60,   3, 172,  60,   3, 173,  60,   3, 173,  61,   4, 173,  61,   3, 173,  62,   4, 173,  63,   2, 173,  63,   4, 174,  63,   4, 174,  64,   3, 174,  63,   3, 175,  65,   4, 173,  63,   3, 174,  65,   4, 173,  64,   2, 174,  63,   2, 175,  65,   3, 176,  65,   2, 176,  65,   3, 175,  64,   1,
   176,  67,   2, 177,  67,   2, 177,  67,   3, 177,  66,   3, 178,  65,   2, 177,  65,   3, 178,  65,   2, 177,  67,   2, 178,  66,   2, 180,  68,   2, 179,  66,   2, 179,  67,   2, 179,  67,   2, 180,  68,   2, 180,  69,   3, 179,  67,   2, 180,  69,   2, 180,  68,   2, 180,  69,   2, 181,  70,   3, 181,  69,   3,
   181,  68,   3, 181,  68,   3, 180,  68,   2, 182,  69,   3, 181,  69,   2, 181,  69,   3, 182,  69,   2, 180,  67,   1, 182,  69,   3, 180,  68,   1, 176,  65,   2, 168,  62,   1, 165,  60,   2, 164,  57,   2, 163,  58,   3, 163,  58,   3, 168,  60,   3, 173,  62,   2, 179,  67,   2, 182,  70,   1, 184,  69,   2,
   186,  70,   2, 185,  70,   2, 186,  69,   2, 186,  69,   2, 188,  69,   3, 188,  70,   2, 191,  72,   3, 190,  71,   2, 192,  71,   2, 192,  71,   2, 193,  70,   2, 193,  72,   2, 194,  73,   2, 194,  73,   2, 195,  72,   2, 196,  71,   3, 197,  73,   2, 196,  71,   2, 194,  72,   3, 185,  69,   6, 170,  59,  12,
   152,  54,  30, 133,  46,  41, 118,  40,  48, 107,  38,  52, 101,  37,  50,  92,  30,  57,  88,  27,  69,  85,  21,  75,  76,  19,  81,  60,  13,  81,  40,   9,  76,  33,  11,  75,  35,  12,  75,  33,  11,  75,  29,  16,  78,  20,  18,  78,  14,  17,  80,   9,  16,  85,  11,  20,  91,  13,  23,  95,  19,  26,  98,
    24,  27, 104,  22,  26, 108,  20,  24, 114,  15,  22, 117,   9,  16, 114,  12,  16, 112,  17,  13, 107,  26,  13, 105,  35,  11, 103,  42,  10, 102,  45,   7, 102,  47,   7, 102,  43,   8, 102,  39,   8, 100,  35,  11,  99,  27,   9,  94,  23,   6,  90,  23,   4,  85,  30,   4,  81,  40,   4,  79,  52,   2,  76,
    63,   2,  68,  69,   4,  61,  74,   8,  53,  74,   7,  48,  71,   7,  49,  62,   5,  49,  53,   3,  53,  39,   2,  56,  31,   3,  59,  23,   5,  61,  26,   6,  62,  35,   6,  68,  44,   7,  70,  51,   9,  72,  51,  10,  73,  48,  12,  72,  37,  10,  67,  29,  11,  65,  25,   9,  62,  30,   7,  59,  44,   7,  58,
    57,   8,  53,  68,  10,  45,  73,  10,  42,  72,  10,  44,  65,   6,  49,  50,   3,  53,  34,   3,  54,  17,   6,  50,   7,   7,  45,   4,   5,  41,   9,   8,  39,  30,  10,  40,  60,  17,  31,  78,  18,  22,  97,  22,  11, 113,  25,   5, 119,  26,   2, 123,  25,   2, 120,  24,   2, 119,  23,   3, 118,  23,   2,
   116,  23,   2, 115,  22,   1, 114,  21,   2, 112,  19,   2, 112,  21,   2, 109,  19,   3, 108,  19,   1, 106,  18,   3, 103,  15,   1, 101,  15,   2,  99,  13,   2,  96,  12,   1,  97,  14,   2,  97,  13,   2,  98,  12,   2,  99,  12,   2, 110,  24,   2, 110,  22,   2, 113,  24,   2, 115,  23,   2, 116,  24,   2,
   118,  24,   2, 120,  26,   2, 121,  26,   2, 124,  29,   2, 123,  28,   1, 124,  29,   2, 125,  29,   3, 125,  28,   2, 127,  32,   3, 130,  32,   2, 132,  34,   2, 131,  32,   2, 133,  33,   2, 133,  35,   2, 135,  35,   2, 137,  35,   2, 139,  37,   2, 140,  37,   3, 139,  35,   2, 141,  38,   1, 142,  39,   2,
   144,  40,   2, 144,  39,   1, 147,  42,   2, 148,  42,   2, 148,  43,   2, 150,  44,   2, 150,  44,   1, 151,  44,   2, 154,  45,   3, 155,  47,   3, 156,  47,   2, 157,  50,   2, 157,  48,   2, 157,  50,   2, 159,  51,   2, 159,  48,   1, 160,  51,   2, 161,  51,   1, 162,  52,   2, 163,  53,   2, 166,  54,   2,
   164,  52,   2, 166,  54,   3, 166,  54,   2, 166,  55,   3, 166,  54,   2, 167,  55,   2, 167,  56,   3, 169,  59,   2, 168,  58,   2, 167,  57,   2, 169,  58,   3, 170,  60,   2, 170,  59,   2, 170,  58,   2, 171,  60,   3, 170,  59,   2, 172,  62,   3, 171,  61,   3, 172,  62,   3, 171,  60,   3, 172,  62,   4,
   172,  61,   4, 172,  62,   3, 173,  61,   5, 173,  63,   4, 174,  63,   2, 173,  64,   3, 174,  65,   3, 173,  64,   3, 173,  64,   2, 174,  65,   3, 174,  63,   2, 174,  65,   2, 175,  65,   2, 176,  66,   2, 175,  66,   3, 176,  67,   2, 176,  66,   3, 178,  66,   2, 177,  69,   2, 177,  67,   2, 178,  68,   2,
   179,  66,   3, 178,  65,   2, 178,  67,   2, 179,  67,   2, 180,  68,   2, 179,  68,   2, 180,  68,   2, 180,  69,   2, 179,  68,   2, 181,  70,   2, 181,  70,   2, 180,  68,   3, 181,  70,   2, 180,  68,   1, 181,  69,   3, 182,  70,   3, 182,  70,   3, 181,  69,   2, 181,  70,   2, 180,  68,   2, 182,  69,   2,
   182,  69,   2, 182,  69,   3, 183,  69,   3, 180,  68,   2, 182,  69,   3, 178,  66,   4, 169,  62,   2, 164,  58,   3, 156,  54,   2, 152,  54,   3, 149,  51,   3, 154,  52,   4, 157,  55,   3, 165,  59,   2, 173,  64,   3, 182,  69,   3, 184,  72,   1, 187,  71,   2, 187,  71,   1, 188,  72,   1, 188,  70,   2,
   188,  71,   2, 189,  72,   2, 189,  71,   2, 191,  72,   1, 192,  71,   2, 194,  73,   2, 196,  74,   3, 196,  75,   2, 196,  74,   2, 195,  72,   2, 197,  73,   3, 197,  73,   2, 197,  72,   3, 197,  73,   2, 194,  72,   3, 185,  69,   6, 168,  60,  18, 150,  54,  35, 131,  46,  43, 118,  41,  50, 107,  40,  52,
   103,  38,  50,  97,  34,  52,  97,  32,  58,  97,  30,  60,  90,  24,  65,  81,  19,  72,  71,  13,  74,  68,  13,  76,  72,  16,  80,  73,  16,  79,  69,  14,  81,  56,  14,  84,  44,  17,  84,  34,  20,  86,  37,  24,  89,  40,  26,  92,  45,  29,  97,  47,  28, 101,  45,  26, 104,  41,  28, 108,  37,  27, 111,
    34,  24, 108,  36,  23, 108,  45,  18, 106,  57,   7, 106,  74,   5, 101,  90,  10,  98,  99,  14,  92, 100,  12,  90,  96,  10,  92,  89,   9,  95,  78,   4,  94,  72,   3,  91,  71,   3,  89,  72,   4,  86,  73,   5,  78,  84,   7,  71,  93,  13,  58,  99,  17,  46, 104,  22,  39, 105,  21,  35, 103,  21,  33,
    97,  19,  31,  90,  18,  32,  82,  15,  39,  69,  11,  52,  56,   8,  60,  45,   6,  61,  48,   8,  65,  57,  10,  67,  71,  18,  69,  77,  22,  66,  76,  21,  66,  70,  19,  68,  61,  14,  66,  52,  10,  64,  49,   9,  62,  53,   9,  59,  62,  12,  52,  78,  19,  42,  88,  20,  35,  92,  20,  33,  91,  20,  35,
    84,  17,  38,  68,  10,  44,  50,   4,  54,  30,   4,  53,  11,   7,  45,   5,   9,  43,   7,   8,  41,  26,  14,  45,  54,  15,  41,  72,  18,  26,  90,  21,  22, 108,  25,  13, 116,  28,   7, 118,  27,   5, 118,  28,   4, 117,  27,   4, 116,  26,   5, 114,  26,   6, 112,  25,   6, 109,  24,   5, 108,  22,   6,
   106,  20,   4, 106,  19,   3, 105,  21,   3, 103,  19,   3,  99,  17,   2,  95,  14,   2,  93,  11,   3,  93,  13,   2,  92,  11,   1,  94,  12,   2,  93,  11,   2,  96,  12,   2, 111,  23,   2, 112,  23,   2, 113,  24,   2, 116,  25,   2, 117,  25,   2, 119,  26,   2, 119,  26,   2, 121,  27,   3, 122,  29,   2,
   123,  28,   2, 125,  31,   1, 126,  29,   3, 127,  31,   2, 128,  31,   2, 130,  31,   2, 131,  33,   2, 132,  33,   2, 135,  33,   2, 134,  34,   1, 135,  35,   2, 138,  36,   3, 138,  36,   2, 139,  39,   2, 140,  38,   3, 141,  40,   2, 143,  39,   2, 144,  40,   2, 146,  41,   3, 146,  41,   2, 149,  43,   2,
   149,  44,   2, 150,  45,   2, 151,  46,   3, 153,  46,   3, 153,  44,   2, 156,  48,   2, 155,  46,   2, 157,  49,   2, 158,  50,   2, 160,  50,   2, 159,  51,   3, 161,  51,   2, 162,  52,   2, 162,  52,   2, 162,  53,   2, 164,  54,   3, 166,  56,   3, 166,  54,   2, 168,  55,   3, 168,  56,   3, 166,  56,   2,
   169,  56,   3, 168,  56,   2, 168,  56,   1, 168,  56,   3, 168,  56,   2, 169,  59,   3, 170,  60,   3, 168,  58,   2, 169,  59,   2, 168,  58,   2, 171,  60,   3, 168,  60,   3, 171,  61,   4, 172,  61,   5, 171,  62,   5, 171,  62,   4, 172,  62,   4, 172,  63,   5, 172,  63,   4, 173,  63,   5, 173,  63,   5,
   174,  63,   4, 174,  66,   5, 173,  64,   3, 175,  65,   3, 175,  65,   3, 174,  65,   4, 175,  65,   3, 175,  66,   3, 175,  68,   2, 176,  66,   3, 178,  68,   2, 177,  66,   3, 178,  67,   3, 178,  68,   3, 177,  67,   1, 177,  67,   2, 177,  66,   3, 180,  69,   2, 181,  68,   2, 179,  67,   2, 180,  68,   2,
   180,  69,   2, 179,  68,   2, 180,  68,   2, 180,  68,   2, 180,  69,   2, 181,  70,   2, 181,  70,   2, 181,  69,   3, 182,  71,   2, 181,  68,   2, 182,  70,   2, 183,  71,   2, 182,  70,   3, 183,  71,   4, 183,  71,   4, 183,  71,   3, 181,  69,   2, 182,  69,   2, 184,  71,   3, 183,  70,   2, 182,  70,   2,
   182,  70,   2, 175,  65,   3, 164,  58,   3, 153,  52,   3, 145,  48,   4, 136,  44,   5, 133,  43,   5, 136,  44,   6, 146,  49,   6, 157,  56,   5, 168,  61,   4, 177,  67,   3, 184,  70,   2, 186,  71,   2, 186,  72,   2, 189,  72,   2, 191,  72,   2, 188,  71,   3, 188,  70,   2, 190,  71,   3, 189,  70,   2,
   193,  72,   3, 193,  72,   2, 193,  72,   2, 195,  75,   3, 196,  73,   2, 197,  74,   3, 198,  74,   3, 199,  74,   3, 197,  74,   2, 198,  75,   2, 193,  72,   5, 183,  67,  10, 167,  62,  28, 147,  53,  40, 129,  47,  48, 116,  42,  53, 109,  41,  53, 104,  39,  50, 100,  34,  46, 103,  34,  52, 103,  31,  49,
   102,  34,  56,  99,  32,  60,  94,  27,  61,  94,  27,  61, 101,  30,  63, 103,  32,  65,  99,  30,  71,  91,  25,  83,  76,  18,  88,  66,  17,  90,  65,  20,  92,  65,  21,  94,  68,  22,  94,  72,  22,  99,  73,  21, 102,  70,  19, 103,  64,  19, 103,  64,  17, 105,  65,  15, 104,  76,  13, 104,  89,  12,  96,
   107,  22,  86, 120,  33,  71, 126,  37,  59, 130,  36,  57, 130,  36,  59, 125,  32,  57, 119,  30,  60, 115,  31,  63, 107,  26,  62, 105,  28,  61, 104,  27,  55, 105,  25,  45, 111,  24,  40, 112,  24,  38, 113,  25,  39, 113,  26,  38, 111,  25,  36, 107,  26,  39, 102,  24,  37,  94,  24,  35,  83,  21,  42,
    70,  17,  54,  61,  15,  64,  61,  15,  64,  69,  20,  64,  78,  24,  58,  89,  28,  55,  91,  28,  56,  83,  26,  55,  73,  19,  55,  64,  15,  56,  63,  16,  56,  64,  16,  51,  73,  18,  44,  86,  22,  37,  95,  23,  35,  97,  23,  35,  98,  24,  35,  89,  19,  32,  76,  16,  37,  60,   8,  48,  40,   5,  54,
    20,   9,  49,   6,  10,  45,   6,  10,  44,  16,  14,  49,  44,  16,  52,  70,  21,  42,  85,  23,  33,  96,  23,  26, 107,  27,  21, 109,  26,  17, 110,  26,  16, 109,  28,  18, 106,  25,  18, 107,  26,  20, 106,  25,  20, 102,  22,  19,  99,  21,  16,  98,  22,  15,  95,  19,  10,  92,  18,   7,  92,  19,   9,
    89,  16,   9,  85,  13,   7,  84,  12,   5,  83,  11,   3,  84,  10,   2,  88,   9,   2,  93,  10,   2,  95,  12,   2, 112,  23,   1, 114,  24,   3, 115,  27,   2, 117,  26,   1, 118,  26,   2, 119,  25,   1, 121,  27,   2, 121,  28,   2, 121,  27,   2, 124,  29,   1, 126,  30,   2, 125,  29,   3, 128,  29,   2,
   129,  31,   2, 130,  32,   2, 131,  32,   1, 132,  33,   2, 135,  36,   2, 135,  34,   2, 137,  35,   2, 140,  38,   2, 138,  37,   2, 140,  39,   2, 140,  38,   2, 142,  39,   2, 143,  40,   2, 145,  41,   2, 146,  41,   1, 147,  43,   3, 148,  43,   2, 149,  43,   2, 150,  45,   2, 152,  46,   2, 156,  49,   2,
   154,  46,   2, 157,  48,   3, 157,  48,   2, 158,  48,   2, 159,  50,   2, 160,  50,   2, 160,  50,   2, 160,  50,   2, 161,  52,   2, 163,  54,   2, 164,  54,   2, 165,  54,   3, 163,  52,   2, 167,  55,   2, 168,  54,   2, 168,  56,   2, 169,  58,   2, 167,  56,   2, 168,  58,   1, 169,  58,   2, 169,  57,   2,
   168,  59,   1, 170,  59,   3, 168,  59,   2, 170,  60,   2, 169,  61,   4, 171,  61,   4, 169,  60,   4, 169,  61,   3, 169,  61,   4, 171,  62,   5, 172,  62,   5, 172,  63,   4, 171,  62,   5, 171,  63,   6, 172,  64,   6, 174,  66,   7, 173,  65,   5, 174,  65,   5, 174,  66,   5, 175,  64,   5, 175,  64,   4,
   174,  65,   5, 175,  65,   4, 174,  65,   3, 176,  67,   4, 175,  68,   2, 176,  66,   2, 177,  67,   3, 176,  67,   4, 178,  67,   3, 177,  67,   2, 180,  70,   3, 178,  69,   2, 179,  69,   3, 179,  68,   4, 179,  68,   2, 180,  68,   3, 180,  68,   2, 181,  69,   2, 181,  70,   2, 181,  70,   2, 181,  70,   2,
   182,  71,   3, 182,  71,   3, 181,  70,   2, 182,  70,   2, 182,  71,   3, 183,  71,   2, 183,  71,   3, 182,  71,   2, 182,  70,   3, 182,  68,   2, 182,  71,   1, 182,  69,   2, 184,  72,   3, 183,  71,   2, 183,  70,   2, 184,  72,   2, 182,  71,   2, 178,  68,   2, 168,  61,   4, 153,  49,   3, 138,  45,   3,
   126,  37,   8, 120,  38,  10, 116,  36,  13, 121,  39,  19, 130,  43,  19, 145,  50,  14, 160,  57,  11, 174,  65,   8, 180,  68,   3, 186,  73,   5, 186,  72,   3, 189,  73,   3, 187,  70,   1, 186,  71,   2, 185,  69,   2, 187,  70,   3, 187,  70,   2, 190,  73,   3, 193,  74,   2, 194,  74,   3, 195,  75,   3,
   195,  72,   2, 195,  75,   2, 196,  74,   2, 197,  74,   2, 198,  75,   4, 194,  74,   4, 190,  73,  14, 178,  66,  22, 161,  62,  40, 142,  54,  50, 126,  46,  55, 114,  45,  58, 108,  44,  56, 102,  40,  55, 100,  36,  51, 104,  38,  54, 108,  39,  52, 109,  39,  53, 106,  38,  54, 103,  34,  53, 108,  37,  55,
   114,  41,  57, 117,  43,  58, 113,  39,  62, 108,  38,  70,  98,  33,  80,  88,  28,  86,  85,  28,  85,  88,  30,  89,  89,  30,  87,  92,  31,  90,  91,  30,  91,  90,  29,  92,  88,  26,  91,  86,  25,  94,  87,  22,  93,  94,  24,  91, 109,  34,  80, 120,  40,  65, 126,  40,  57, 132,  39,  56, 132,  39,  56,
   132,  39,  55, 132,  36,  53, 123,  32,  49, 122,  34,  50, 116,  35,  48, 115,  33,  47, 112,  30,  44, 111,  30,  44, 108,  27,  41, 114,  28,  39, 120,  29,  34, 120,  30,  32, 119,  31,  35, 113,  31,  36, 106,  29,  40, 100,  28,  40,  91,  28,  45,  78,  25,  55,  67,  22,  65,  63,  20,  66,  71,  23,  64,
    81,  28,  59,  90,  31,  52,  92,  30,  48,  85,  26,  47,  76,  22,  47,  70,  22,  51,  66,  21,  52,  67,  20,  49,  75,  22,  45,  85,  24,  38,  94,  24,  37,  99,  26,  40,  98,  26,  38,  90,  23,  35,  78,  19,  37,  60,  11,  45,  39,   7,  52,  19,  10,  49,   5,  12,  49,   4,  11,  51,  10,  16,  56,
    30,  18,  57,  53,  15,  56,  75,  23,  46,  88,  24,  38,  95,  26,  37,  97,  27,  36,  97,  26,  35,  95,  26,  35,  93,  25,  36,  92,  26,  36,  91,  24,  36,  92,  26,  37,  89,  23,  34,  86,  22,  32,  83,  19,  30,  81,  18,  28,  80,  19,  28,  76,  16,  23,  70,  13,  19,  69,   9,  14,  71,  11,  11,
    76,  10,   6,  81,   8,   2,  89,   9,   2,  93,  11,   2, 110,  23,   2, 113,  25,   1, 115,  25,   1, 115,  25,   2, 118,  26,   2, 120,  27,   2, 121,  27,   2, 121,  26,   2, 122,  27,   2, 124,  27,   2, 126,  29,   2, 126,  29,   2, 128,  31,   2, 130,  32,   3, 131,  33,   2, 132,  33,   2, 133,  34,   2,
   136,  36,   2, 135,  34,   2, 138,  35,   1, 139,  36,   3, 139,  36,   2, 140,  38,   2, 141,  37,   3, 143,  39,   2, 145,  40,   3, 146,  41,   3, 147,  42,   1, 148,  42,   2, 148,  41,   2, 150,  44,   2, 151,  43,   2, 152,  46,   2, 153,  45,   3, 155,  47,   3, 155,  46,   2, 157,  48,   2, 159,  48,   3,
   159,  49,   2, 160,  50,   1, 161,  50,   2, 162,  52,   3, 161,  52,   1, 163,  55,   2, 165,  55,   2, 164,  56,   2, 166,  57,   3, 167,  56,   2, 166,  55,   2, 167,  56,   2, 168,  58,   2, 168,  58,   2, 168,  57,   2, 168,  58,   2, 168,  57,   2, 168,  58,   2, 168,  59,   2, 169,  59,   2, 170,  62,   4,
   170,  61,   4, 170,  62,   4, 168,  60,   3, 171,  62,   5, 169,  61,   4, 172,  64,   7, 171,  64,   8, 172,  65,   7, 171,  62,   6, 171,  63,   6, 172,  65,   6, 171,  64,   5, 173,  66,   7, 173,  66,   6, 174,  66,   7, 173,  64,   5, 174,  66,   6, 174,  67,   5, 174,  67,   5, 174,  66,   3, 175,  66,   4,
   177,  69,   3, 176,  68,   4, 176,  67,   3, 177,  67,   4, 177,  67,   3, 178,  68,   2, 179,  69,   3, 179,  68,   2, 179,  68,   3, 180,  69,   2, 180,  69,   3, 181,  69,   3, 180,  69,   2, 181,  69,   3, 183,  72,   4, 181,  71,   3, 182,  71,   3, 181,  70,   2, 181,  70,   2, 181,  70,   2, 183,  71,   3,
   183,  71,   3, 183,  71,   2, 184,  72,   3, 184,  72,   2, 183,  71,   3, 182,  70,   1, 185,  73,   4, 183,  72,   2, 182,  70,   2, 182,  69,   2, 183,  70,   3, 183,  72,   3, 182,  72,   3, 175,  65,   2, 163,  57,   3, 147,  49,   5, 126,  39,   8, 107,  32,  13,  97,  29,  19,  94,  30,  24, 100,  33,  31,
   115,  38,  33, 136,  50,  33, 151,  56,  28, 164,  62,  16, 174,  67,   9, 184,  73,   5, 185,  71,   3, 185,  72,   3, 183,  70,   2, 182,  68,   3, 181,  69,   5, 179,  66,   7, 179,  68,   9, 181,  69,   8, 183,  70,   7, 187,  73,   8, 191,  76,   7, 190,  73,   7, 190,  72,   9, 193,  75,  14, 192,  74,  14,
   190,  73,  16, 189,  76,  28, 184,  74,  36, 175,  72,  50, 158,  65,  58, 138,  56,  63, 124,  54,  68, 117,  54,  72, 108,  50,  73,  99,  43,  69,  97,  40,  65, 102,  42,  64, 105,  41,  59, 108,  43,  60, 107,  41,  60, 109,  42,  60, 113,  43,  60, 122,  48,  65, 125,  47,  63, 120,  45,  63, 115,  44,  71,
   104,  38,  72,  96,  35,  78,  90,  32,  76,  93,  34,  77,  95,  35,  76,  96,  35,  74,  98,  36,  76,  97,  36,  80,  94,  33,  84,  89,  30,  89,  90,  31,  90,  97,  34,  83, 107,  39,  70, 117,  42,  60, 123,  43,  57, 126,  42,  57, 128,  42,  57, 127,  40,  57, 124,  38,  54, 121,  37,  52, 117,  34,  49,
   110,  30,  44, 108,  30,  44, 106,  30,  44, 106,  31,  43, 110,  29,  38, 115,  30,  33, 119,  33,  33, 121,  35,  33, 117,  33,  36, 112,  35,  43, 104,  33,  46,  97,  32,  45,  88,  29,  55,  72,  24,  66,  59,  21,  70,  55,  20,  72,  63,  22,  71,  73,  25,  66,  84,  30,  57,  85,  29,  52,  81,  28,  52,
    72,  23,  54,  63,  21,  57,  59,  19,  59,  59,  17,  56,  66,  19,  53,  78,  25,  49,  91,  29,  45,  96,  30,  42,  92,  28,  40,  85,  26,  42,  71,  20,  45,  51,   9,  51,  31,   8,  53,  11,  11,  50,   3,   9,  54,   2,   8,  56,   4,  13,  60,  12,  18,  60,  33,  18,  62,  55,  16,  63,  71,  21,  54,
    80,  26,  44,  86,  27,  42,  87,  26,  42,  86,  26,  43,  84,  25,  44,  81,  25,  46,  77,  23,  45,  77,  21,  46,  74,  19,  44,  72,  19,  40,  70,  18,  38,  70,  18,  36,  66,  16,  34,  61,  14,  30,  57,  11,  25,  55,   9,  20,  57,   8,  17,  65,   8,  12,  75,   8,   5,  84,   8,   1,  90,  11,   1,
   112,  23,   2, 114,  26,   2, 115,  25,   2, 119,  27,   2, 120,  26,   2, 119,  25,   1, 122,  27,   2, 123,  29,   2, 123,  29,   3, 125,  31,   1, 126,  29,   3, 127,  31,   2, 128,  32,   2, 131,  33,   3, 131,  33,   2, 132,  31,   2, 133,  33,   1, 136,  36,   2, 135,  35,   2, 138,  36,   2, 139,  37,   2,
   139,  37,   2, 140,  37,   3, 141,  39,   2, 144,  40,   2, 147,  40,   2, 146,  40,   2, 149,  43,   3, 149,  43,   2, 149,  42,   1, 150,  44,   2, 152,  44,   2, 154,  46,   3, 155,  47,   2, 157,  48,   2, 156,  46,   3, 157,  48,   2, 160,  49,   1, 160,  50,   3, 161,  51,   3, 161,  52,   2, 162,  53,   2,
   162,  53,   2, 163,  53,   2, 165,  54,   3, 165,  55,   3, 167,  56,   2, 165,  55,   2, 166,  57,   2, 169,  58,   2, 168,  59,   2, 169,  58,   3, 169,  58,   2, 169,  60,   2, 170,  60,   3, 168,  59,   2, 168,  59,   2, 169,  61,   3, 169,  60,   3, 168,  59,   3, 170,  61,   4, 171,  62,   5, 170,  63,   6,
   170,  63,   7, 170,  64,   9, 171,  64,   8, 173,  65,   8, 172,  64,   9, 173,  67,  10, 173,  67,   8, 174,  67,   9, 175,  67,   9, 172,  64,   7, 173,  65,   9, 174,  66,   9, 175,  66,   9, 174,  67,   7, 175,  68,   6, 176,  69,   7, 175,  69,   5, 175,  68,   5, 175,  68,   5, 177,  69,   5, 177,  68,   3,
   177,  70,   4, 177,  69,   3, 177,  70,   4, 177,  68,   2, 178,  69,   2, 179,  69,   3, 181,  70,   3, 182,  70,   3, 182,  70,   3, 180,  69,   2, 182,  71,   4, 182,  71,   3, 182,  71,   3, 181,  69,   2, 183,  72,   3, 182,  71,   4, 183,  71,   3, 183,  71,   2, 185,  73,   4, 183,  71,   2, 184,  71,   3,
   183,  71,   2, 185,  72,   2, 184,  72,   2, 184,  71,   2, 184,  72,   2, 183,  72,   2, 185,  74,   2, 184,  73,   2, 179,  69,   3, 170,  63,   2, 157,  54,   2, 137,  45,   7, 114,  35,  15,  92,  27,  22,  73,  23,  29,  69,  23,  33,  77,  30,  40,  99,  40,  49, 123,  50,  54, 144,  57,  49, 159,  62,  39,
   172,  68,  27, 179,  70,  14, 182,  71,   6, 182,  71,   4, 179,  69,   9, 177,  68,  15, 173,  66,  20, 171,  66,  26, 172,  67,  32, 171,  67,  32, 175,  72,  36, 179,  74,  38, 182,  74,  38, 182,  75,  42, 184,  77,  46, 185,  78,  50, 185,  79,  52, 184,  80,  60, 180,  81,  65, 175,  80,  71, 164,  76,  78,
   149,  71,  84, 137,  70,  89, 123,  64,  89, 113,  62,  98, 103,  56, 105,  94,  47,  98,  90,  42,  92,  91,  40,  83,  96,  42,  77, 100,  43,  74, 100,  43,  74, 103,  42,  73, 112,  47,  73, 123,  53,  77, 126,  55,  76, 122,  51,  74, 114,  47,  75, 103,  42,  80,  91,  37,  81,  86,  36,  81,  87,  35,  79,
    90,  35,  79,  95,  36,  77,  97,  37,  79,  94,  36,  83,  88,  34,  87,  83,  33,  90,  80,  30,  88,  87,  31,  84, 100,  39,  75, 111,  44,  65, 115,  46,  59, 119,  45,  58, 121,  42,  56, 122,  41,  55, 117,  37,  51, 113,  35,  48, 107,  34,  46, 102,  32,  44, 101,  30,  42,  98,  28,  40,  96,  27,  40,
   101,  29,  39, 103,  28,  35, 109,  32,  34, 108,  32,  38, 105,  32,  42, 102,  34,  45,  99,  35,  48,  90,  31,  58,  72,  23,  69,  56,  18,  74,  40,  20,  73,  36,  20,  70,  41,  17,  70,  52,  16,  71,  67,  21,  69,  70,  23,  64,  65,  19,  62,  57,  17,  62,  46,  16,  63,  39,  17,  60,  40,  16,  60,
    49,  16,  62,  62,  20,  63,  74,  24,  61,  79,  26,  59,  76,  23,  56,  66,  19,  54,  53,  12,  55,  32,   8,  53,  16,  11,  51,   4,  11,  55,   3,  10,  58,   2,  10,  61,   2,  12,  64,   4,  17,  67,  12,  19,  65,  28,  18,  64,  46,  16,  66,  55,  15,  63,  61,  17,  63,  63,  18,  60,  62,  18,  62,
    59,  18,  63,  56,  15,  64,  52,  13,  64,  51,  13,  63,  48,  12,  61,  48,  12,  59,  47,  12,  55,  45,   9,  53,  44,   8,  50,  41,   9,  46,  37,   7,  39,  34,   6,  30,  44,   8,  23,  54,   7,  16,  68,   7,   9,  79,   8,   2,  89,  11,   2, 114,  25,   2, 115,  25,   1, 116,  25,   2, 118,  25,   2,
   119,  26,   3, 119,  25,   2, 121,  28,   2, 123,  29,   2, 123,  29,   2, 124,  29,   1, 125,  31,   2, 129,  32,   3, 130,  31,   2, 131,  32,   2, 132,  34,   2, 134,  35,   3, 133,  34,   2, 135,  34,   3, 137,  37,   2, 137,  37,   2, 140,  38,   3, 141,  39,   3, 141,  39,   2, 143,  39,   1, 144,  41,   2,
   147,  41,   1, 146,  41,   2, 148,  42,   2, 150,  43,   2, 150,  44,   3, 151,  44,   2, 152,  45,   2, 155,  48,   2, 156,  49,   2, 157,  47,   2, 157,  48,   2, 159,  49,   2, 159,  49,   2, 160,  51,   3, 160,  51,   2, 161,  53,   2, 161,  52,   2, 164,  54,   3, 164,  55,   3, 164,  55,   3, 165,  55,   3,
   169,  56,   3, 167,  56,   2, 168,  57,   2, 169,  57,   2, 168,  58,   1, 169,  59,   2, 169,  60,   2, 168,  60,   2, 168,  59,   3, 169,  60,   3, 169,  60,   3, 171,  62,   5, 169,  61,   4, 169,  61,   3, 169,  62,   5, 169,  61,   5, 169,  63,   6, 169,  62,   5, 170,  65,   9, 171,  64,  10, 172,  65,   9,
   174,  67,  12, 172,  65,  10, 173,  65,  10, 174,  67,  12, 174,  67,  12, 174,  67,  13, 175,  67,  13, 175,  67,  11, 175,  67,  11, 175,  68,  11, 175,  69,   7, 175,  69,   6, 176,  66,   4, 176,  69,   6, 176,  67,   6, 179,  69,   6, 179,  70,   6, 177,  69,   5, 179,  70,   5, 179,  70,   4, 179,  71,   4,
   181,  71,   4, 181,  71,   3, 181,  70,   1, 182,  71,   3, 184,  72,   5, 183,  72,   3, 181,  69,   2, 183,  72,   4, 184,  73,   4, 184,  71,   4, 182,  70,   3, 183,  70,   3, 184,  72,   2, 185,  73,   3, 183,  71,   2, 185,  73,   2, 184,  71,   1, 185,  72,   3, 185,  73,   3, 187,  73,   3, 185,  72,   2,
   185,  72,   2, 185,  73,   2, 184,  73,   2, 183,  72,   3, 176,  67,   2, 165,  61,   3, 151,  51,   4, 128,  39,   7, 103,  30,  20,  77,  25,  31,  58,  19,  34,  49,  20,  44,  63,  31,  61,  91,  42,  65, 113,  51,  66, 133,  60,  68, 149,  63,  58, 164,  67,  46, 175,  70,  34, 180,  73,  23, 179,  71,  18,
   174,  68,  22, 168,  67,  30, 162,  65,  43, 163,  68,  53, 158,  66,  56, 160,  70,  66, 162,  72,  68, 163,  75,  72, 168,  79,  76, 170,  79,  77, 170,  81,  78, 171,  81,  79, 169,  81,  80, 167,  81,  84, 167,  83,  89, 160,  82,  93, 152,  80,  95, 142,  77, 100, 131,  72, 110, 116,  68, 119, 100,  63, 118,
    86,  59, 112,  74,  50, 106,  74,  47, 103,  78,  44, 100,  78,  40,  96,  78,  37,  94,  81,  36,  93,  84,  34,  89,  96,  41,  92, 109,  47,  93, 114,  50,  90, 110,  49,  89, 100,  44,  92,  87,  36,  90,  73,  33,  88,  66,  31,  86,  66,  32,  85,  70,  30,  83,  77,  29,  86,  81,  32,  88,  76,  30,  88,
    67,  27,  90,  57,  25,  88,  56,  29,  89,  62,  25,  87,  76,  28,  84,  90,  34,  77, 100,  38,  69, 105,  41,  61, 106,  40,  56, 107,  38,  54, 103,  35,  50,  98,  33,  47,  94,  30,  45,  88,  27,  43,  86,  25,  41,  83,  25,  39,  86,  27,  40,  86,  26,  39,  85,  25,  37,  86,  25,  38,  88,  28,  42,
    86,  29,  46,  84,  28,  55,  75,  25,  65,  62,  20,  74,  44,  16,  76,  28,  19,  74,  14,  19,  71,  12,  19,  73,  18,  21,  72,  26,  19,  72,  36,  17,  71,  42,  16,  70,  40,  17,  68,  32,  18,  64,  22,  18,  59,  17,  18,  58,  18,  19,  58,  25,  18,  61,  36,  18,  65,  46,  20,  69,  47,  17,  68,
    43,  16,  66,  37,  14,  63,  24,  14,  59,  12,  12,  55,   4,   9,  52,   3,   9,  57,   2,   7,  59,   3,   9,  65,   3,  12,  69,   3,  15,  71,   2,  17,  70,   8,  18,  65,  18,  20,  64,  27,  19,  64,  30,  16,  64,  29,  15,  62,  28,  15,  62,  27,  17,  62,  27,  16,  63,  23,  15,  61,  21,  15,  58,
    18,  13,  56,  16,  14,  55,  16,  12,  52,  16,  11,  49,  17,  12,  47,  15,  10,  43,  14,   9,  40,  18,   6,  34,  30,   5,  28,  47,   7,  20,  62,   8,  12,  78,  10,   4,  86,  11,   3, 112,  23,   2, 115,  25,   1, 117,  26,   1, 118,  25,   1, 119,  25,   2, 121,  27,   2, 122,  29,   2, 122,  27,   2,
   125,  31,   1, 125,  32,   2, 127,  33,   2, 128,  31,   1, 130,  33,   2, 131,  33,   3, 132,  34,   2, 133,  36,   2, 135,  37,   2, 136,  37,   2, 137,  37,   2, 138,  39,   2, 138,  37,   2, 139,  39,   2, 142,  40,   2, 145,  42,   2, 144,  40,   2, 147,  41,   2, 147,  41,   2, 148,  43,   1, 150,  42,   1,
   152,  44,   3, 153,  45,   3, 153,  46,   2, 153,  46,   3, 154,  46,   2, 157,  47,   3, 157,  48,   3, 159,  49,   2, 160,  50,   2, 161,  52,   3, 162,  53,   3, 163,  54,   3, 164,  54,   2, 163,  54,   2, 165,  55,   3, 166,  56,   2, 166,  56,   3, 167,  56,   2, 167,  57,   2, 167,  57,   2, 169,  58,   2,
   169,  57,   3, 169,  60,   2, 169,  61,   3, 168,  60,   3, 169,  61,   4, 168,  59,   3, 169,  61,   3, 169,  62,   4, 170,  62,   6, 170,  62,   6, 171,  63,   8, 170,  63,   7, 171,  65,  11, 171,  65,  12, 170,  65,  12, 172,  66,  15, 173,  66,  14, 172,  67,  14, 174,  66,  13, 173,  67,  14, 175,  68,  15,
   174,  67,  16, 174,  70,  18, 175,  69,  19, 174,  68,  15, 176,  69,  15, 176,  68,  12, 176,  69,   9, 177,  70,   9, 176,  68,  10, 176,  68,   7, 177,  70,   8, 178,  69,   7, 179,  71,   8, 177,  70,   5, 178,  70,   4, 181,  71,   5, 179,  69,   3, 180,  71,   5, 181,  71,   4, 183,  73,   6, 182,  71,   5,
   183,  72,   4, 182,  70,   3, 183,  72,   4, 183,  72,   4, 183,  72,   4, 185,  73,   5, 183,  70,   4, 186,  74,   6, 185,  72,   3, 184,  72,   2, 185,  74,   3, 185,  73,   3, 188,  74,   4, 187,  74,   2, 186,  73,   2, 184,  72,   2, 187,  74,   3, 184,  73,   2, 185,  74,   2, 185,  75,   3, 183,  73,   3,
   174,  67,   3, 161,  59,   3, 142,  46,   4, 121,  38,  13,  91,  28,  23,  65,  22,  32,  40,  15,  43,  24,  21,  52,  37,  34,  67,  71,  42,  82, 107,  56,  86, 127,  66,  83, 142,  69,  79, 157,  70,  66, 168,  71,  52, 174,  71,  41, 172,  70,  34, 168,  67,  37, 160,  65,  48, 153,  62,  57, 146,  62,  66,
   142,  64,  73, 138,  65,  78, 142,  68,  84, 145,  73,  89, 150,  76,  92, 150,  77,  93, 152,  79,  95, 152,  79,  96, 153,  82,  98, 152,  82, 101, 152,  85, 104, 148,  84, 107, 141,  79, 113, 128,  75, 121, 112,  70, 126,  92,  68, 123,  79,  68, 119,  69,  65, 115,  58,  57, 109,  55,  53, 104,  52,  47,  99,
    52,  46,  97,  51,  41,  95,  48,  37,  91,  52,  36,  93,  65,  37,  97,  78,  38, 103,  86,  41, 105,  85,  39, 102,  77,  37,  99,  61,  37,  93,  47,  35,  87,  38,  35,  81,  36,  32,  79,  44,  32,  82,  49,  28,  84,  52,  29,  88,  50,  28,  89,  39,  28,  87,  31,  28,  85,  27,  27,  82,  33,  27,  84,
    41,  24,  83,  53,  25,  86,  60,  23,  84,  68,  25,  80,  72,  27,  76,  72,  25,  70,  74,  24,  66,  68,  19,  62,  62,  16,  61,  57,  14,  59,  56,  14,  57,  55,  14,  57,  55,  13,  56,  57,  16,  54,  58,  16,  54,  57,  16,  56,  58,  19,  61,  48,  15,  64,  45,  18,  71,  34,  19,  72,  24,  22,  76,
    17,  23,  81,   7,  20,  82,   3,  15,  79,   2,  14,  81,   4,  16,  81,   4,  16,  77,   8,  18,  73,  12,  19,  70,  10,  17,  66,   8,  16,  64,   4,  14,  61,   3,  13,  61,   3,  16,  63,   5,  15,  63,   9,  18,  65,  12,  19,  66,  12,  20,  68,  10,  17,  66,   8,  14,  63,   4,  10,  59,   3,   8,  57,
     2,   7,  55,   2,   6,  58,   3,   8,  65,   3,   8,  68,   2,  10,  70,   3,  13,  72,   2,  13,  72,   2,  15,  70,   2,  15,  68,   4,  14,  64,   5,  13,  62,   6,  14,  62,   5,  14,  61,   5,  13,  61,   5,  13,  62,   4,  13,  61,   4,  10,  58,   4,   9,  56,   4,  10,  56,   3,   9,  53,   3,   8,  49,
     4,   8,  47,   3,   7,  44,   3,   6,  40,   6,   5,  35,  18,   6,  31,  39,   5,  26,  57,   6,  18,  71,   8,  11,  80,  11,   6, 114,  24,   1, 116,  25,   2, 118,  26,   2, 119,  26,   2, 119,  27,   1, 121,  27,   2, 122,  29,   2, 121,  28,   2, 125,  30,   2, 126,  31,   3, 126,  30,   2, 130,  31,   1,
   129,  33,   1, 130,  33,   2, 133,  36,   3, 133,  37,   2, 135,  38,   3, 136,  37,   2, 137,  38,   2, 137,  39,   2, 139,  38,   2, 141,  40,   2, 142,  40,   2, 144,  42,   1, 145,  41,   2, 147,  42,   3, 148,  43,   2, 148,  43,   2, 151,  46,   2, 148,  42,   2, 152,  45,   2, 153,  45,   2, 154,  47,   2,
   157,  49,   2, 156,  49,   3, 156,  48,   2, 159,  49,   3, 159,  49,   2, 161,  52,   2, 162,  55,   2, 161,  54,   1, 163,  55,   3, 164,  55,   3, 164,  55,   2, 166,  56,   2, 167,  57,   3, 167,  57,   2, 167,  58,   2, 169,  58,   1, 168,  57,   2, 168,  58,   3, 168,  60,   3, 168,  59,   3, 168,  60,   3,
   168,  60,   2, 168,  60,   3, 171,  64,   6, 170,  62,   6, 170,  62,   8, 170,  62,   8, 171,  64,  11, 169,  63,  10, 170,  64,  11, 170,  65,  15, 172,  67,  17, 170,  66,  18, 171,  67,  18, 170,  65,  17, 174,  68,  22, 173,  68,  20, 172,  67,  21, 174,  68,  24, 172,  67,  19, 173,  69,  19, 175,  69,  19,
   175,  69,  16, 177,  70,  17, 177,  69,  13, 177,  69,  13, 176,  68,  11, 178,  71,  15, 177,  68,  12, 178,  71,  11, 180,  71,   9, 180,  72,   8, 181,  72,   6, 180,  71,   5, 181,  70,   5, 182,  73,   6, 182,  73,   6, 182,  71,   4, 182,  71,   4, 184,  73,   6, 185,  73,   6, 183,  72,   4, 184,  73,   4,
   182,  71,   3, 185,  72,   4, 184,  73,   4, 185,  73,   4, 184,  73,   3, 185,  73,   3, 184,  72,   2, 186,  75,   3, 186,  73,   2, 187,  74,   3, 187,  74,   3, 187,  74,   2, 185,  73,   3, 187,  75,   3, 184,  72,   2, 185,  74,   3, 183,  72,   4, 173,  65,   3, 160,  57,   4, 139,  47,   5, 111,  34,  11,
    81,  23,  25,  58,  21,  37,  29,  17,  50,  16,  28,  65,  26,  41,  84,  53,  54,  98,  89,  61, 107, 119,  67, 102, 139,  73,  91, 149,  72,  81, 162,  73,  69, 169,  74,  57, 166,  69,  49, 160,  64,  47, 151,  61,  56, 137,  59,  67, 131,  60,  74, 126,  61,  81, 124,  64,  89, 127,  67,  96, 131,  72, 101,
   134,  74, 105, 135,  76, 105, 138,  77, 107, 136,  77, 110, 135,  78, 111, 136,  80, 116, 132,  80, 120, 127,  78, 125, 116,  76, 129, 102,  75, 129,  87,  75, 127,  72,  75, 126,  61,  71, 125,  52,  67, 124,  45,  58, 118,  42,  54, 112,  36,  47, 105,  31,  44, 101,  26,  39,  97,  22,  36,  93,  25,  36,  93,
    32,  37,  95,  43,  41,  99,  46,  41,  98,  45,  39,  95,  37,  37,  92,  30,  35,  91,  20,  33,  88,  13,  30,  85,  13,  30,  84,  18,  30,  84,  21,  31,  84,  21,  28,  83,  21,  28,  87,  17,  27,  89,  10,  23,  89,   8,  23,  90,   9,  22,  88,  11,  22,  86,  18,  25,  85,  23,  26,  83,  27,  25,  80,
    28,  22,  76,  32,  21,  73,  30,  17,  69,  29,  16,  68,  25,  15,  64,  25,  12,  61,  19,  11,  57,  20,  12,  57,  17,  12,  55,  17,  15,  57,  20,  15,  57,  18,  14,  60,  16,  18,  64,  12,  20,  67,  10,  20,  74,   7,  21,  82,   4,  21,  87,   3,  19,  90,   2,  17,  91,   3,  13,  90,   3,  14,  90,
     3,  13,  89,   2,  14,  86,   3,  14,  83,   2,  14,  78,   1,  13,  72,   3,  12,  69,   3,  10,  65,   2,  11,  66,   1,  12,  67,   2,  13,  69,   3,  15,  72,   2,  13,  72,   2,  12,  71,   2,  11,  71,   3,  11,  70,   3,   8,  67,   3,   6,  65,   3,   7,  63,   2,   5,  63,   2,   7,  67,   2,   8,  72,
     3,  11,  77,   3,  13,  78,   3,  13,  76,   3,  11,  74,   3,  12,  72,   2,  12,  68,   1,  10,  65,   3,   9,  65,   2,   8,  65,   3,  10,  65,   3,   9,  63,   3,   8,  61,   2,   7,  62,   2,   8,  59,   2,   8,  59,   3,   7,  56,   2,   8,  54,   2,   7,  51,   2,   5,  48,   3,   5,  45,   3,   6,  42,
    12,   6,  39,  34,   5,  37,  55,   7,  24,  66,   6,  18,  75,  11,  18, 115,  24,   1, 116,  25,   2, 118,  26,   2, 119,  26,   2, 120,  28,   2, 120,  27,   1, 122,  28,   2, 123,  28,   2, 125,  32,   2, 126,  33,   2, 127,  32,   2, 128,  32,   2, 130,  32,   2, 132,  34,   1, 131,  34,   2, 134,  37,   1,
   134,  35,   2, 136,  38,   2, 138,  39,   1, 138,  39,   2, 139,  40,   2, 140,  40,   2, 141,  39,   2, 145,  42,   2, 146,  43,   2, 146,  41,   3, 147,  42,   1, 148,  44,   2, 150,  46,   2, 152,  46,   3, 153,  46,   3, 155,  48,   3, 155,  47,   2, 158,  49,   3, 157,  49,   2, 157,  50,   2, 159,  51,   2,
   159,  52,   2, 161,  53,   2, 161,  54,   2, 162,  54,   2, 164,  55,   2, 164,  55,   3, 164,  54,   2, 165,  57,   2, 167,  58,   3, 167,  58,   3, 167,  57,   3, 167,  59,   2, 166,  57,   2, 167,  58,   2, 168,  60,   2, 167,  59,   2, 168,  61,   3, 168,  61,   3, 168,  61,   4, 170,  63,   7, 169,  62,   5,
   170,  64,   9, 170,  64,  13, 170,  64,  14, 170,  65,  14, 171,  65,  16, 172,  67,  20, 170,  65,  19, 173,  68,  23, 171,  68,  23, 173,  69,  25, 174,  68,  27, 174,  70,  28, 174,  69,  27, 175,  70,  28, 175,  70,  26, 176,  73,  27, 172,  69,  21, 174,  69,  20, 177,  70,  19, 178,  71,  19, 178,  71,  19,
   178,  70,  17, 179,  70,  17, 180,  71,  18, 177,  69,  11, 181,  73,  13, 180,  74,  11, 180,  72,   6, 182,  74,   7, 181,  72,   5, 182,  72,   8, 184,  74,   8, 183,  73,   6, 183,  72,   5, 184,  74,   6, 184,  74,   6, 183,  72,   4, 184,  73,   4, 186,  75,   5, 184,  72,   3, 185,  73,   3, 186,  74,   4,
   186,  74,   3, 185,  74,   3, 188,  76,   4, 188,  75,   4, 188,  73,   3, 187,  74,   3, 187,  74,   3, 187,  74,   3, 188,  74,   3, 187,  76,   4, 187,  75,   3, 186,  75,   3, 182,  72,   3, 171,  65,   3, 155,  56,   5, 134,  43,   6, 105,  31,  12,  72,  21,  24,  52,  19,  38,  23,  24,  55,  13,  34,  75,
    17,  46,  95,  42,  61, 113,  72,  68, 115, 104,  70, 118, 132,  77, 109, 142,  76,  93, 155,  77,  86, 162,  74,  74, 162,  68,  61, 155,  64,  60, 142,  59,  62, 127,  55,  71, 120,  59,  79, 106,  53,  96,  95,  53, 108,  96,  59, 113,  98,  63, 117,  99,  67, 119,  98,  67, 120, 100,  69, 121,  98,  70, 122,
    93,  70, 122,  94,  70, 123,  92,  72, 124,  85,  73, 123,  79,  75, 125,  67,  72, 125,  61,  75, 129,  50,  70, 129,  43,  66, 130,  37,  63, 127,  30,  56, 122,  26,  50, 115,  20,  46, 110,  12,  38, 103,   5,  31,  96,   4,  29,  95,   5,  29,  97,   8,  30,  98,  12,  34, 100,  16,  35, 102,  11,  32,  99,
     8,  31,  96,   6,  29,  96,   4,  26,  91,   3,  24,  88,   3,  25,  88,   4,  25,  89,   4,  24,  91,   6,  27,  95,   4,  25,  97,   3,  21,  96,   4,  20,  97,   3,  19,  97,   2,  18,  95,   3,  19,  93,   3,  20,  93,   3,  19,  88,   5,  19,  83,   4,  18,  79,   5,  17,  74,   6,  16,  72,   5,  14,  69,
     4,  11,  65,   3,  10,  62,   4,  11,  62,   4,  10,  61,   2,   9,  61,   2,  10,  63,   3,  12,  66,   3,  13,  67,   2,  14,  73,   2,  17,  80,   2,  15,  84,   3,  18,  92,   3,  20,  96,   3,  20,  99,   3,  17, 100,   2,  16, 100,   3,  14,  99,   3,  16,  98,   3,  14,  97,   2,  15,  93,   3,  16,  88,
     3,  15,  83,   2,  13,  77,   2,  11,  72,   3,  13,  72,   3,  14,  74,   3,  16,  79,   3,  16,  80,   3,  17,  83,   3,  14,  81,   2,  13,  81,   2,  11,  79,   2,   9,  77,   2,   9,  75,   3,   9,  74,   2,   8,  75,   1,   9,  78,   2,  13,  82,   2,  13,  85,   2,  15,  85,   3,  16,  86,   2,  14,  84,
     2,  17,  85,   3,  17,  83,   3,  16,  81,   2,  16,  79,   2,  17,  79,   3,  18,  82,   3,  18,  81,   4,  17,  78,   4,  15,  75,   3,  11,  69,   3,  10,  68,   3,   9,  66,   2,   8,  62,   2,   8,  63,   2,   8,  61,   2,   7,  59,   3,   6,  53,   7,   8,  50,  24,   6,  51,  45,   6,  48,  63,  13,  40,
    72,  20,  41, 116,  26,   2, 117,  24,   1, 117,  25,   1, 119,  27,   2, 121,  28,   2, 121,  28,   3, 122,  30,   2, 123,  29,   2, 123,  32,   2, 127,  32,   3, 128,  33,   3, 130,  34,   2, 131,  34,   2, 132,  35,   2, 132,  35,   2, 134,  37,   2, 135,  37,   2, 135,  37,   2, 136,  38,   2, 137,  38,   3,
   138,  39,   2, 140,  40,   2, 143,  40,   2, 144,  42,   3, 145,  42,   2, 148,  44,   2, 148,  42,   2, 149,  45,   2, 150,  45,   3, 151,  45,   3, 153,  47,   3, 154,  48,   2, 156,  49,   3, 155,  49,   2, 157,  52,   2, 158,  50,   2, 158,  51,   1, 161,  53,   3, 161,  55,   2, 163,  56,   3, 163,  54,   2,
   165,  56,   3, 165,  55,   2, 165,  55,   3, 167,  57,   2, 167,  58,   2, 166,  58,   2, 169,  59,   2, 168,  59,   3, 168,  59,   2, 168,  59,   3, 167,  59,   3, 168,  61,   3, 168,  61,   4, 170,  64,   6, 171,  64,   7, 170,  63,   8, 171,  65,   9, 170,  65,  14, 170,  65,  17, 169,  64,  20, 171,  67,  24,
   170,  68,  23, 173,  68,  28, 172,  69,  29, 171,  67,  29, 174,  70,  33, 173,  69,  31, 173,  71,  34, 173,  70,  34, 174,  70,  32, 175,  70,  34, 177,  73,  34, 177,  72,  31, 176,  72,  31, 178,  73,  31, 178,  72,  26, 176,  70,  23, 179,  72,  26, 179,  72,  24, 179,  71,  23, 179,  71,  19, 182,  74,  19,
   181,  73,  16, 180,  73,  12, 182,  73,  14, 182,  74,   9, 183,  76,  10, 183,  75,   9, 183,  75,   8, 184,  76,   9, 185,  76,   9, 186,  75,   8, 185,  74,   8, 185,  75,   7, 186,  75,   6, 186,  75,   5, 187,  75,   5, 188,  76,   7, 186,  74,   4, 186,  75,   5, 186,  76,   4, 188,  77,   5, 187,  75,   4,
   187,  75,   3, 187,  74,   3, 187,  74,   3, 187,  74,   3, 188,  75,   3, 189,  74,   3, 188,  74,   4, 187,  75,   4, 182,  72,   4, 172,  66,   4, 155,  55,   4, 131,  41,   5,  99,  29,  10,  69,  20,  25,  48,  19,  40,  24,  28,  59,  11,  35,  79,  15,  48, 100,  35,  60, 116,  60,  68, 121,  88,  72, 122,
   120,  71, 121, 141,  77, 106, 150,  79,  95, 153,  75,  87, 153,  68,  76, 146,  62,  71, 136,  59,  73, 126,  56,  77, 106,  51,  95,  81,  47, 107,  59,  49, 105,  51,  54, 110,  52,  59, 114,  57,  62, 116,  57,  65, 118,  56,  64, 119,  59,  66, 121,  58,  68, 123,  53,  66, 124,  53,  68, 125,  48,  67, 125,
    48,  67, 128,  44,  67, 130,  37,  65, 128,  30,  64, 131,  24,  58, 129,  21,  57, 127,  16,  50, 123,  11,  47, 116,   6,  40, 111,   4,  33, 104,   3,  27,  99,   2,  24,  96,   2,  24,  98,   3,  24,  99,   3,  29, 103,   2,  30, 105,   3,  30, 105,   2,  30, 105,   3,  29, 103,   2,  25,  98,   3,  25,  95,
     3,  24,  96,   3,  27, 100,   3,  29, 104,   3,  28, 106,   2,  27, 107,   3,  24, 107,   3,  23, 108,   3,  20, 104,   3,  19, 103,   3,  18,  99,   3,  16,  95,   3,  16,  91,   3,  15,  87,   3,  13,  81,   2,  16,  79,   3,  14,  74,   3,  11,  70,   3,   9,  68,   2,   9,  68,   3,  11,  69,   3,   9,  68,
     4,  13,  72,   3,  14,  72,   3,  13,  72,   2,  13,  75,   2,  14,  80,   3,  15,  82,   3,  17,  91,   4,  19,  97,   3,  19, 101,   2,  18, 103,   3,  18, 106,   3,  19, 108,   3,  19, 107,   3,  21, 108,   3,  21, 107,   3,  21, 103,   3,  19,  98,   3,  17,  92,   3,  16,  84,   3,  16,  82,   3,  18,  80,
     3,  21,  85,   4,  24,  90,   3,  26,  94,   3,  23,  94,   4,  20,  93,   3,  18,  90,   3,  15,  88,   3,  14,  86,   3,  14,  86,   2,  13,  86,   4,  14,  88,   2,  14,  89,   3,  17,  91,   3,  20,  94,   3,  20,  96,   3,  21,  97,   3,  23,  99,   2,  25, 101,   3,  30, 105,   3,  31, 108,   3,  32, 108,
     2,  34, 108,   2,  36, 111,   2,  36, 111,   3,  35, 109,   3,  30, 103,   3,  23,  94,   3,  17,  86,   2,  14,  80,   3,  15,  82,   3,  16,  83,   2,  16,  82,   1,  13,  79,   2,  11,  73,   4,  12,  69,  12,  14,  65,  28,  14,  67,  43,  15,  71,  54,  17,  71, 114,  24,   2, 116,  24,   2, 118,  25,   1,
   119,  27,   2, 122,  29,   2, 121,  28,   2, 122,  30,   2, 123,  31,   2, 124,  32,   2, 126,  32,   2, 128,  32,   2, 128,  34,   2, 130,  34,   2, 131,  34,   2, 132,  35,   1, 134,  36,   2, 135,  37,   2, 136,  39,   3, 137,  40,   2, 138,  39,   2, 139,  39,   2, 138,  39,   2, 142,  41,   2, 144,  41,   2,
   145,  43,   2, 148,  44,   2, 150,  46,   3, 150,  46,   3, 152,  48,   2, 152,  47,   3, 151,  47,   2, 153,  49,   1, 156,  50,   3, 155,  50,   2, 157,  52,   3, 157,  51,   2, 160,  53,   2, 162,  53,   3, 162,  54,   2, 163,  55,   3, 164,  55,   3, 165,  56,   3, 165,  56,   2, 165,  57,   3, 167,  58,   4,
   165,  57,   2, 166,  57,   2, 166,  58,   2, 167,  59,   2, 168,  61,   2, 170,  63,   3, 168,  61,   2, 170,  63,   5, 170,  63,   5, 170,  63,   7, 170,  63,   7, 169,  62,   7, 171,  66,  15, 169,  63,  17, 170,  66,  24, 170,  67,  26, 172,  69,  30, 171,  69,  31, 172,  69,  33, 171,  69,  36, 173,  71,  40,
   170,  72,  39, 174,  72,  41, 172,  72,  43, 174,  73,  44, 174,  71,  39, 175,  73,  39, 174,  72,  36, 175,  74,  36, 176,  74,  39, 178,  74,  37, 177,  73,  34, 178,  73,  34, 179,  74,  35, 178,  73,  31, 179,  73,  31, 179,  74,  26, 181,  74,  23, 183,  74,  21, 183,  75,  21, 180,  72,  14, 182,  75,  15,
   182,  75,  13, 183,  76,  14, 183,  76,  12, 185,  75,  11, 183,  74,   7, 185,  77,  13, 186,  75,  10, 185,  74,   7, 186,  74,   8, 185,  74,   5, 187,  76,   5, 188,  77,   6, 187,  75,   5, 186,  75,   4, 186,  75,   4, 187,  75,   4, 187,  74,   3, 188,  76,   4, 189,  76,   5, 187,  75,   4, 187,  76,   4,
   187,  74,   3, 189,  75,   4, 190,  76,   3, 188,  76,   5, 183,  72,   5, 171,  65,   3, 154,  55,   5, 131,  43,   7, 101,  31,  14,  69,  20,  26,  47,  16,  38,  23,  24,  55,  16,  35,  79,  17,  45,  99,  31,  56, 112,  52,  65, 120,  80,  73, 126, 105,  72, 129, 129,  71, 121, 144,  75, 104, 149,  75,  94,
   148,  68,  86, 141,  63,  79, 132,  60,  78, 118,  55,  92,  89,  46, 110,  59,  49, 110,  36,  50, 111,  28,  50, 117,  27,  52, 121,  28,  55, 123,  31,  58, 125,  28,  56, 124,  28,  57, 125,  28,  57, 127,  25,  55, 127,  23,  55, 127,  22,  57, 127,  20,  55, 127,  17,  54, 127,  13,  53, 126,  15,  56, 129,
     9,  50, 126,   7,  49, 125,   6,  45, 121,   3,  40, 115,   3,  33, 110,   3,  27, 103,   2,  23, 100,   3,  21, 100,   3,  23, 100,   2,  24, 103,   3,  30, 110,   3,  32, 115,   3,  35, 115,   3,  35, 114,   3,  32, 111,   3,  30, 107,   2,  28, 105,   3,  28, 106,   3,  31, 109,   3,  32, 114,   2,  34, 119,
     3,  38, 124,   2,  32, 121,   2,  29, 119,   3,  27, 117,   3,  23, 110,   2,  20, 105,   3,  17, 100,   3,  14,  92,   3,  14,  87,   3,  12,  80,   2,  13,  79,   2,  12,  75,   3,   9,  72,   3,  11,  72,   2,  12,  73,   4,  14,  74,   3,  15,  76,   3,  16,  77,   3,  15,  77,   3,  12,  76,   2,  13,  79,
     2,  15,  82,   3,  16,  88,   2,  16,  92,   4,  17,  97,   4,  18, 101,   4,  17, 104,   2,  17, 106,   3,  21, 110,   3,  23, 112,   2,  25, 113,   2,  25, 114,   2,  27, 112,   2,  24, 106,   3,  20,  97,   3,  17,  90,   3,  19,  86,   3,  23,  89,   2,  24,  92,   3,  23,  94,   3,  25,  96,   2,  27, 103,
     3,  25, 101,   3,  20,  97,   3,  19,  95,   2,  18,  94,   2,  17,  94,   2,  16,  93,   2,  19,  94,   4,  18,  96,   3,  19,  97,   3,  21,  98,   2,  23,  99,   3,  26, 102,   2,  29, 106,   2,  32, 108,   2,  33, 112,   3,  35, 113,   2,  39, 115,   3,  42, 118,   2,  41, 117,   3,  40, 116,   2,  37, 113,
     2,  35, 110,   2,  29, 105,   3,  26, 100,   2,  19,  94,   2,  18,  92,   2,  18,  89,   2,  17,  88,   3,  16,  89,   2,  14,  86,   3,  16,  84,   3,  16,  78,  13,  19,  74,  26,  23,  71,  35,  23,  71, 116,  25,   2, 118,  27,   2, 117,  25,   1, 119,  27,   2, 119,  27,   3, 121,  29,   2, 121,  29,   2,
   123,  30,   1, 122,  31,   2, 125,  33,   2, 126,  33,   2, 129,  34,   1, 131,  35,   2, 130,  36,   2, 134,  36,   2, 135,  36,   1, 134,  36,   2, 135,  38,   3, 135,  38,   2, 138,  39,   2, 138,  39,   1, 142,  41,   2, 144,  42,   2, 145,  43,   2, 145,  43,   2, 146,  43,   2, 147,  44,   2, 150,  45,   3,
   150,  47,   1, 153,  46,   2, 155,  50,   2, 154,  49,   3, 154,  50,   2, 157,  51,   2, 157,  52,   3, 157,  52,   3, 158,  53,   2, 161,  55,   3, 162,  53,   3, 164,  55,   3, 164,  56,   3, 165,  55,   3, 164,  55,   3, 165,  56,   2, 165,  59,   2, 166,  59,   2, 167,  60,   2, 166,  59,   2, 168,  61,   4,
   166,  59,   2, 169,  61,   3, 169,  62,   4, 168,  61,   4, 169,  62,   5, 169,  63,   9, 168,  63,   9, 171,  66,  14, 169,  63,  16, 171,  67,  26, 169,  67,  29, 170,  68,  32, 171,  69,  35, 170,  67,  35, 171,  69,  38, 172,  70,  41, 171,  71,  45, 173,  73,  48, 174,  74,  50, 177,  77,  52, 173,  72,  47,
   174,  74,  49, 176,  75,  50, 175,  75,  47, 177,  76,  47, 176,  76,  45, 176,  75,  42, 177,  76,  42, 178,  77,  42, 179,  75,  40, 180,  75,  38, 182,  76,  38, 180,  74,  31, 183,  77,  29, 183,  75,  24, 183,  75,  24, 182,  75,  21, 183,  75,  18, 181,  73,  11, 184,  76,  13, 184,  75,  13, 184,  76,  13,
   185,  76,  12, 185,  76,  11, 187,  75,  12, 186,  77,  12, 186,  76,   9, 187,  75,   8, 187,  76,   6, 186,  74,   4, 187,  74,   4, 189,  76,   6, 188,  77,   6, 188,  76,   4, 189,  77,   5, 188,  76,   4, 190,  77,   5, 189,  75,   4, 188,  77,   3, 188,  77,   4, 189,  77,   4, 189,  77,   3, 187,  77,   4,
   186,  75,   7, 172,  67,   4, 156,  55,   6, 131,  42,   7,  99,  29,  12,  69,  22,  27,  48,  17,  35,  26,  19,  51,  19,  32,  71,  23,  43,  94,  35,  55, 109,  54,  65, 122,  74,  72, 126,  91,  70, 130, 110,  64, 131, 131,  71, 128, 141,  74, 116, 141,  67, 102, 137,  65, 102, 124,  58, 105, 103,  48, 116,
    72,  49, 118,  43,  51, 118,  21,  46, 121,  14,  46, 125,  13,  49, 127,  16,  53, 132,  13,  50, 129,  13,  51, 130,  13,  50, 129,  11,  50, 130,  10,  49, 129,   9,  50, 130,   7,  48, 129,   8,  48, 127,   6,  46, 126,   6,  48, 128,   5,  46, 125,   5,  46, 126,   5,  42, 124,   2,  40, 122,   3,  37, 119,
     3,  33, 115,   3,  30, 112,   3,  26, 108,   2,  25, 109,   2,  28, 111,   3,  31, 116,   3,  33, 118,   3,  36, 123,   1,  36, 121,   2,  37, 122,   3,  37, 121,   2,  34, 117,   3,  35, 117,   3,  34, 117,   2,  34, 119,   3,  34, 121,   3,  37, 128,   3,  41, 133,   3,  39, 132,   2,  33, 127,   3,  29, 121,
     2,  25, 115,   2,  21, 107,   2,  17, 101,   3,  13,  92,   3,  13,  85,   3,  12,  79,   2,  11,  77,   3,  14,  76,   2,  11,  71,   2,  11,  72,   3,  16,  77,   2,  17,  80,   3,  18,  81,   3,  18,  81,   3,  14,  78,   4,  14,  80,   3,  11,  78,   2,  13,  80,   3,  15,  86,   2,  17,  90,   3,  17,  94,
     2,  16,  99,   3,  16, 103,   2,  20, 108,   2,  23, 110,   2,  24, 113,   2,  27, 116,   3,  25, 114,   2,  25, 111,   2,  25, 107,   2,  23, 100,   3,  19,  92,   3,  23,  92,   2,  25,  92,   2,  25,  94,   2,  23,  95,   3,  25, 101,   3,  27, 103,   3,  27, 104,   2,  22, 100,   3,  18,  97,   2,  15,  94,
     4,  16,  94,   3,  16,  94,   3,  18,  95,   3,  18,  95,   2,  16,  95,   3,  20,  98,   3,  22, 101,   2,  24, 105,   1,  27, 108,   2,  31, 112,   3,  34, 114,   3,  37, 117,   2,  40, 119,   3,  45, 122,   4,  43, 121,   3,  41, 119,   2,  39, 116,   2,  38, 113,   2,  31, 107,   3,  27, 103,   2,  21,  98,
     3,  20,  96,   4,  18,  96,   2,  16,  93,   2,  15,  91,   2,  15,  89,   2,  15,  87,   3,  16,  83,   4,  18,  78,  10,  20,  75,  16,  22,  70, 115,  26,   2, 116,  25,   1, 118,  27,   2, 119,  28,   2, 120,  28,   2, 121,  28,   2, 123,  31,   3, 123,  30,   2, 124,  31,   2, 126,  31,   3, 128,  34,   2,
   129,  34,   3, 130,  35,   2, 131,  35,   1, 132,  36,   2, 134,  37,   2, 135,  38,   2, 134,  38,   1, 137,  39,   2, 137,  41,   2, 141,  41,   2, 141,  42,   2, 144,  43,   2, 142,  40,   2, 146,  43,   2, 148,  44,   2, 149,  45,   2, 152,  47,   3, 150,  46,   2, 151,  46,   2, 154,  49,   2, 154,  49,   1,
   155,  51,   2, 156,  51,   3, 157,  52,   2, 159,  54,   3, 160,  53,   2, 161,  54,   2, 163,  54,   2, 164,  55,   3, 164,  56,   2, 165,  56,   3, 167,  60,   3, 166,  57,   3, 167,  59,   2, 165,  59,   2, 168,  62,   2, 167,  60,   2, 168,  61,   3, 168,  61,   4, 171,  63,   5, 169,  61,   5, 170,  63,   5,
   169,  64,  10, 169,  64,  13, 171,  66,  20, 170,  66,  20, 169,  66,  27, 169,  66,  27, 169,  67,  34, 171,  69,  37, 170,  71,  42, 172,  72,  46, 171,  72,  48, 175,  74,  52, 174,  75,  54, 174,  75,  54, 175,  74,  56, 177,  77,  57, 176,  76,  56, 176,  76,  58, 178,  77,  57, 177,  77,  57, 176,  77,  54,
   177,  78,  54, 177,  76,  51, 179,  77,  51, 178,  76,  48, 180,  78,  49, 180,  77,  44, 183,  77,  44, 182,  77,  39, 184,  77,  37, 181,  76,  29, 183,  76,  32, 182,  76,  25, 185,  76,  23, 184,  77,  22, 186,  77,  22, 185,  76,  17, 185,  75,  17, 187,  78,  17, 186,  75,  16, 188,  77,  17, 186,  75,  13,
   188,  79,  15, 186,  74,   9, 188,  77,   9, 188,  76,   8, 189,  77,   7, 188,  77,   6, 189,  77,   6, 189,  77,   6, 189,  76,   5, 191,  77,   6, 190,  77,   4, 190,  77,   4, 189,  78,   2, 190,  78,   4, 190,  78,   4, 191,  78,   2, 188,  77,   4, 185,  74,   4, 175,  68,   5, 158,  58,   8, 134,  43,   7,
   101,  30,  13,  70,  20,  24,  54,  18,  31,  37,  16,  48,  30,  28,  63,  37,  42,  85,  44,  50, 100,  60,  63, 115,  73,  68, 125,  83,  69, 130,  96,  64, 135, 108,  63, 138, 117,  64, 140, 118,  62, 139, 107,  57, 139,  92,  52, 133,  76,  55, 131,  52,  56, 128,  29,  49, 129,  13,  47, 133,   6,  47, 134,
     6,  49, 136,   5,  48, 136,   8,  49, 137,   6,  49, 136,   6,  49, 137,   4,  47, 137,   3,  45, 135,   3,  45, 133,   2,  43, 133,   4,  44, 132,   3,  40, 127,   3,  45, 129,   4,  41, 126,   3,  43, 126,   3,  41, 125,   3,  39, 123,   4,  38, 122,   3,  35, 119,   2,  34, 118,   3,  30, 115,   3,  27, 114,
     2,  30, 118,   3,  33, 122,   3,  37, 126,   3,  38, 131,   3,  38, 130,   3,  38, 128,   3,  36, 124,   3,  37, 123,   3,  38, 123,   3,  36, 122,   3,  38, 124,   3,  37, 127,   2,  37, 131,   2,  41, 136,   3,  41, 137,   3,  38, 132,   2,  33, 126,   3,  29, 120,   2,  26, 111,   3,  21, 101,   3,  13,  89,
     2,  12,  82,   2,  13,  78,   3,  12,  72,   2,  13,  72,   3,  13,  71,   3,  17,  76,   3,  18,  77,   2,  17,  78,   2,  19,  79,   2,  16,  77,   2,  15,  76,   3,  14,  76,   2,  14,  76,   2,  13,  75,   2,  14,  79,   3,  13,  83,   3,  14,  89,   3,  15,  92,   2,  17,  95,   3,  18, 101,   2,  22, 106,
     3,  22, 108,   3,  23, 110,   2,  25, 112,   3,  24, 109,   3,  24, 107,   2,  21,  99,   3,  18,  94,   3,  23,  93,   2,  26,  94,   3,  25,  94,   1,  25,  95,   2,  23,  98,   3,  26, 102,   2,  26, 103,   3,  22,  99,   3,  16,  94,   2,  14,  92,   2,  13,  91,   3,  15,  92,   2,  15,  91,   3,  18,  93,
     2,  16,  93,   3,  17,  94,   3,  20,  98,   2,  21, 102,   2,  28, 109,   2,  30, 111,   2,  32, 114,   2,  35, 114,   3,  40, 118,   4,  44, 123,   2,  42, 121,   4,  43, 121,   2,  37, 115,   4,  36, 112,   1,  31, 106,   2,  25, 102,   3,  21,  98,   2,  19,  94,   3,  18,  93,   2,  15,  91,   3,  14,  91,
     2,  16,  90,   2,  15,  87,   2,  15,  82,   3,  15,  77,   4,  18,  74,   7,  18,  71, 114,  26,   2, 117,  26,   2, 118,  28,   2, 120,  29,   2, 121,  28,   3, 122,  30,   3, 122,  29,   2, 122,  29,   3, 124,  32,   2, 123,  32,   2, 126,  34,   2, 129,  35,   2, 131,  36,   2, 132,  36,   2, 132,  35,   2,
   135,  38,   2, 134,  38,   2, 136,  39,   2, 136,  39,   3, 137,  40,   2, 140,  41,   3, 141,  41,   2, 143,  42,   2, 143,  41,   2, 146,  45,   2, 148,  44,   2, 150,  46,   3, 150,  45,   2, 152,  47,   3, 153,  46,   2, 153,  49,   2, 155,  50,   3, 155,  51,   2, 157,  51,   3, 156,  52,   2, 158,  53,   2,
   160,  53,   3, 163,  55,   3, 163,  53,   3, 164,  55,   4, 164,  56,   3, 166,  57,   3, 166,  57,   3, 165,  57,   3, 166,  57,   2, 166,  59,   3, 168,  61,   3, 167,  59,   3, 169,  60,   3, 168,  61,   3, 168,  62,   4, 170,  62,   5, 170,  64,   9, 169,  65,  13, 168,  65,  19, 170,  66,  23, 168,  65,  26,
   172,  69,  35, 168,  68,  36, 170,  69,  43, 171,  69,  44, 174,  74,  51, 172,  74,  52, 173,  77,  58, 173,  75,  58, 173,  75,  61, 174,  76,  63, 177,  78,  67, 176,  78,  65, 177,  79,  68, 177,  80,  67, 176,  78,  64, 178,  79,  66, 177,  79,  65, 180,  80,  64, 181,  80,  61, 180,  79,  58, 178,  77,  54,
   179,  77,  52, 179,  77,  50, 181,  77,  46, 184,  77,  43, 183,  77,  40, 182,  76,  36, 181,  76,  30, 183,  77,  31, 186,  78,  28, 186,  77,  26, 184,  75,  22, 188,  78,  27, 186,  77,  24, 186,  76,  16, 185,  76,  17, 187,  76,  15, 187,  77,  15, 186,  77,  13, 189,  79,  14, 190,  79,  12, 189,  77,   9,
   189,  78,   8, 188,  78,   7, 191,  80,   8, 189,  77,   5, 189,  79,   6, 191,  78,   6, 190,  76,   4, 190,  78,   4, 191,  78,   4, 191,  77,   3, 191,  78,   3, 191,  80,   2, 191,  79,   7, 185,  76,   5, 176,  69,   4, 160,  59,   8, 136,  46,   9, 105,  30,  13,  73,  20,  18,  57,  16,  26,  47,  14,  39,
    44,  20,  59,  54,  35,  79,  63,  44,  95,  74,  54, 112,  81,  60, 124,  85,  66, 130,  88,  62, 136,  90,  60, 139,  91,  61, 144,  90,  65, 146,  82,  66, 147,  70,  65, 141,  53,  61, 140,  34,  58, 145,  21,  55, 146,  10,  52, 146,   6,  51, 146,   6,  53, 147,   7,  53, 146,   8,  54, 146,   7,  52, 145,
     6,  50, 144,   7,  50, 145,   4,  48, 143,   4,  48, 142,   3,  45, 139,   2,  46, 138,   3,  45, 136,   2,  43, 132,   3,  41, 130,   4,  40, 128,   4,  41, 127,   2,  38, 126,   4,  34, 123,   2,  34, 120,   3,  31, 117,   3,  32, 118,   3,  30, 119,   2,  30, 120,   2,  34, 125,   3,  37, 129,   3,  38, 132,
     3,  39, 131,   2,  36, 128,   3,  36, 126,   2,  36, 123,   3,  37, 123,   2,  37, 123,   3,  37, 125,   3,  34, 125,   2,  37, 130,   2,  40, 134,   3,  39, 135,   2,  36, 131,   2,  32, 122,   3,  27, 115,   2,  23, 107,   4,  18,  95,   3,  16,  87,   3,  12,  78,   3,  12,  73,   2,  10,  67,   2,  12,  68,
     4,  14,  69,   3,  17,  74,   2,  17,  74,   3,  19,  77,   2,  17,  78,   3,  18,  79,   3,  16,  76,   2,  16,  74,   4,  13,  71,   2,  11,  70,   3,  10,  69,   4,   9,  70,   3,  11,  76,   3,  12,  80,   2,  11,  83,   2,  13,  87,   2,  15,  91,   3,  16,  96,   2,  19, 100,   3,  20, 103,   3,  21, 102,
     3,  22, 100,   3,  20,  95,   3,  19,  91,   2,  19,  88,   4,  22,  90,   3,  24,  90,   3,  23,  91,   3,  24,  96,   4,  26,  98,   2,  24,  97,   3,  20,  94,   2,  15,  90,   3,  14,  88,   3,  13,  86,   2,  13,  84,   2,  14,  83,   3,  14,  83,   3,  14,  84,   3,  16,  87,   3,  16,  90,   3,  18,  95,
     3,  22,  99,   3,  25, 103,   2,  27, 106,   2,  32, 108,   3,  37, 113,   2,  39, 116,   3,  37, 113,   3,  40, 114,   2,  37, 110,   3,  34, 107,   2,  29, 103,   2,  21,  95,   3,  17,  90,   3,  16,  87,   2,  17,  88,   2,  14,  85,   2,  12,  85,   2,  14,  84,   2,  11,  79,   4,  11,  75,   2,  15,  73,
     5,  16,  69,   5,  15,  63, 114,  26,   1, 118,  27,   2, 118,  26,   2, 119,  29,   2, 121,  29,   3, 121,  29,   2, 122,  31,   2, 123,  31,   3, 125,  32,   2, 125,  31,   2, 127,  33,   2, 128,  34,   2, 129,  35,   2, 132,  36,   2, 132,  35,   1, 134,  37,   2, 136,  40,   3, 135,  38,   2, 136,  39,   2,
   138,  42,   2, 138,  40,   2, 142,  42,   2, 142,  43,   2, 145,  44,   1, 145,  44,   2, 148,  45,   3, 149,  44,   2, 151,  46,   3, 151,  46,   2, 154,  49,   1, 153,  49,   3, 154,  48,   1, 155,  50,   2, 158,  51,   3, 158,  53,   3, 158,  53,   2, 160,  54,   3, 160,  53,   3, 162,  55,   3, 165,  56,   2,
   165,  57,   3, 167,  58,   3, 167,  59,   3, 165,  57,   3, 167,  59,   3, 166,  59,   3, 168,  60,   2, 167,  59,   2, 168,  61,   4, 168,  62,   4, 170,  63,   8, 169,  63,  11, 167,  64,  12, 168,  65,  17, 169,  67,  25, 167,  67,  29, 170,  68,  35, 170,  70,  40, 172,  70,  46, 172,  71,  46, 174,  74,  53,
   173,  75,  57, 172,  75,  61, 173,  76,  64, 174,  78,  67, 176,  77,  72, 175,  78,  72, 177,  81,  76, 176,  80,  75, 178,  81,  77, 177,  80,  75, 178,  80,  76, 179,  81,  78, 181,  82,  76, 181,  83,  74, 180,  80,  69, 181,  80,  65, 181,  79,  64, 183,  81,  63, 181,  79,  57, 182,  78,  53, 183,  78,  49,
   184,  79,  48, 184,  79,  45, 184,  79,  38, 185,  79,  36, 186,  78,  30, 185,  78,  28, 186,  78,  26, 186,  77,  24, 188,  79,  25, 190,  80,  25, 187,  77,  20, 186,  77,  17, 188,  78,  19, 188,  79,  18, 188,  78,  14, 189,  78,  13, 191,  80,  12, 189,  78,   8, 189,  78,   7, 188,  77,   5, 190,  79,   7,
   189,  78,   6, 190,  78,   6, 190,  78,   4, 191,  79,   4, 189,  79,   4, 192,  80,   4, 192,  80,   4, 192,  77,   3, 190,  79,   6, 188,  78,  10, 177,  70,   6, 160,  59,   8, 138,  47,  12, 111,  33,  12,  77,  20,  14,  58,  14,  19,  56,  17,  28,  61,  23,  42,  74,  30,  61,  88,  38,  82,  97,  45, 103,
    99,  52, 120,  97,  56, 130,  93,  59, 136,  84,  58, 139,  82,  66, 145,  80,  69, 147,  70,  70, 148,  63,  76, 154,  50,  71, 155,  26,  58, 150,  13,  56, 152,   8,  57, 153,   8,  55, 154,   5,  54, 153,   6,  54, 152,   4,  50, 149,   5,  50, 150,   4,  50, 149,   5,  49, 148,   5,  49, 146,   3,  45, 143,
     4,  46, 143,   3,  42, 138,   3,  41, 135,   4,  39, 133,   3,  39, 130,   3,  37, 126,   3,  36, 126,   3,  34, 123,   3,  34, 120,   4,  32, 118,   2,  28, 114,   3,  29, 115,   2,  28, 115,   2,  28, 116,   3,  29, 120,   3,  33, 124,   3,  36, 128,   2,  35, 128,   4,  33, 124,   2,  34, 124,   2,  35, 122,
     2,  35, 120,   3,  34, 120,   3,  35, 120,   4,  33, 121,   3,  36, 124,   3,  37, 126,   4,  37, 126,   2,  33, 123,   2,  31, 116,   4,  28, 110,   4,  21,  98,   4,  18,  88,   4,  16,  79,   6,  14,  72,   5,  12,  66,   5,  11,  63,   5,  14,  65,   2,  15,  67,   2,  15,  70,   4,  17,  73,   3,  18,  76,
     3,  18,  77,   2,  16,  74,   2,  15,  72,   3,  14,  69,   3,  14,  68,   2,  10,  64,   3,   7,  59,   5,  11,  64,   7,  12,  67,   8,  14,  70,   7,  13,  71,   5,  15,  77,   2,  16,  80,   3,  19,  87,   2,  19,  90,   3,  19,  91,   2,  20,  92,   2,  23,  93,   4,  21,  89,   3,  17,  83,   2,  17,  80,
     3,  19,  81,   4,  22,  82,   3,  23,  84,   4,  24,  87,   5,  27,  89,   5,  23,  86,   3,  16,  81,   3,  15,  78,   3,  14,  77,   3,  13,  74,   4,  13,  71,   3,  13,  71,   2,  14,  72,   3,  12,  69,   2,  13,  72,   3,  11,  73,   2,  11,  72,   2,  14,  78,   2,  17,  83,   3,  22,  91,   3,  25,  95,
     3,  28,  98,   5,  32,  97,   5,  32,  96,   5,  33,  98,   4,  33,  98,   4,  29,  93,   5,  24,  87,   5,  18,  76,   5,  13,  68,   5,  14,  69,   4,  12,  67,   3,  10,  67,   2,  10,  70,   3,  10,  66,   5,   9,  58,   7,   9,  56,  12,  12,  57,  16,  12,  53,  15,  10,  47, 116,  25,   1, 118,  27,   1,
   118,  27,   2, 119,  29,   2, 120,  29,   3, 121,  30,   3, 120,  29,   3, 121,  30,   2, 123,  32,   2, 124,  32,   2, 126,  34,   2, 129,  35,   1, 130,  36,   2, 132,  36,   2, 134,  37,   2, 134,  38,   3, 133,  38,   1, 136,  39,   3, 136,  39,   2, 137,  40,   2, 139,  41,   2, 141,  43,   2, 142,  42,   2,
   144,  44,   2, 145,  44,   2, 147,  45,   2, 151,  47,   3, 151,  48,   2, 151,  46,   3, 152,  48,   2, 151,  47,   2, 155,  50,   3, 157,  53,   5, 156,  51,   2, 158,  53,   3, 159,  54,   3, 159,  55,   3, 163,  56,   4, 164,  57,   2, 165,  58,   2, 164,  56,   3, 166,  59,   3, 165,  58,   2, 168,  60,   4,
   167,  60,   3, 167,  59,   3, 169,  63,   5, 168,  61,   4, 169,  61,   5, 168,  61,   5, 171,  65,  14, 169,  63,  13, 167,  65,  17, 168,  65,  22, 168,  66,  30, 171,  70,  36, 167,  66,  35, 169,  69,  45, 171,  72,  51, 172,  73,  54, 173,  73,  59, 172,  76,  62, 175,  78,  69, 175,  78,  72, 176,  78,  76,
   174,  79,  80, 175,  81,  84, 174,  82,  86, 174,  82,  86, 174,  81,  86, 177,  82,  88, 177,  82,  86, 178,  85,  88, 179,  83,  85, 179,  83,  80, 182,  84,  81, 184,  85,  79, 183,  83,  73, 184,  81,  68, 183,  80,  63, 183,  82,  60, 183,  81,  57, 183,  80,  53, 184,  79,  50, 185,  81,  47, 186,  79,  42,
   186,  80,  37, 187,  80,  38, 187,  78,  33, 188,  81,  32, 187,  78,  27, 188,  78,  24, 188,  78,  25, 189,  79,  25, 188,  78,  20, 188,  77,  17, 191,  81,  19, 190,  80,  16, 189,  78,  11, 191,  79,  10, 190,  78,   9, 189,  78,   6, 190,  79,   7, 190,  79,   7, 191,  80,   8, 191,  78,   5, 190,  79,   4,
   192,  79,   6, 194,  80,   5, 194,  80,   7, 192,  79,   5, 190,  76,   7, 188,  78,  11, 179,  70,   7, 164,  62,  11, 143,  48,  13, 117,  36,  15,  84,  23,  16,  65,  15,  14,  58,  13,  21,  68,  19,  30,  88,  31,  43, 103,  39,  55, 115,  47,  72, 120,  55,  99, 116,  57, 123, 106,  56, 135,  94,  58, 141,
    82,  63, 145,  74,  67, 145,  63,  77, 159,  57, 133, 216,  46, 124, 206,  19,  85, 172,   5,  54, 153,   5,  54, 153,   5,  52, 151,   6,  51, 151,   9,  52, 151,  10,  52, 149,  10,  50, 147,  11,  50, 149,   7,  47, 146,   8,  48, 145,   5,  43, 141,   4,  39, 136,   4,  40, 135,   4,  37, 132,   4,  35, 127,
     4,  35, 124,   4,  35, 121,   5,  36, 120,   4,  33, 116,   3,  32, 114,   4,  31, 112,   4,  28, 109,   4,  29, 109,   4,  27, 108,   3,  28, 110,   3,  30, 113,   3,  32, 117,   4,  35, 120,   3,  35, 123,   3,  36, 123,   3,  38, 122,   3,  41, 124,   5,  37, 119,   2,  30, 116,   3,  29, 110,   2,  33, 111,
     5,  38, 118,   4,  38, 118,   5,  37, 117,   6,  34, 113,   7,  32, 107,  10,  31, 100,  13,  28,  93,  14,  24,  81,  16,  23,  76,  17,  21,  69,  14,  18,  64,   9,  16,  61,   5,  14,  63,   3,  16,  66,   3,  17,  70,   2,  17,  72,   2,  18,  74,   2,  17,  75,   3,  14,  72,   3,  12,  69,   3,  13,  67,
     2,  14,  64,   4,  11,  58,   6,  11,  56,  12,  13,  57,  18,  17,  60,  21,  18,  63,  22,  18,  66,  15,  16,  66,  14,  19,  70,  12,  20,  76,   8,  18,  76,   6,  20,  78,   7,  23,  83,   6,  23,  83,   3,  19,  78,   2,  16,  72,   2,  13,  68,   3,  15,  66,   3,  18,  69,   7,  24,  73,  12,  26,  75,
    17,  25,  74,  17,  19,  69,  19,  17,  67,  17,  16,  65,  14,  14,  62,  13,  11,  58,  13,  11,  57,  13,  11,  54,  12,  11,  54,  12,  12,  54,  10,  10,  53,   6,   7,  50,   4,   6,  48,   4,   7,  50,   4,   8,  53,   5,  12,  58,   9,  16,  60,  17,  16,  57,  26,  15,  57,  31,  16,  54,  34,  19,  55,
    31,  19,  55,  30,  16,  54,  30,  10,  46,  24,   9,  44,  19,   8,  43,  19,   7,  43,  15,   8,  42,  10,   7,  42,   8,   6,  41,  10,   6,  38,  17,   5,  36,  26,   6,  38,  35,   5,  34,  34,   5,  28,  30,   5,  26, 117,  26,   1, 117,  27,   2, 118,  27,   1, 119,  29,   2, 120,  30,   2, 121,  31,   1,
   120,  29,   2, 122,  32,   2, 124,  33,   2, 124,  33,   2, 126,  35,   2, 127,  36,   2, 129,  34,   2, 131,  36,   2, 132,  36,   2, 133,  37,   2, 135,  38,   2, 135,  40,   2, 136,  40,   2, 137,  41,   2, 139,  42,   2, 140,  42,   1, 142,  43,   2, 144,  44,   2, 145,  45,   2, 148,  45,   2, 150,  47,   2,
   150,  47,   2, 151,  47,   2, 153,  50,   2, 152,  48,   2, 153,  49,   3, 155,  52,   3, 157,  52,   2, 159,  55,   2, 159,  55,   2, 161,  56,   3, 163,  55,   2, 164,  55,   2, 165,  58,   3, 165,  57,   3, 165,  58,   3, 167,  59,   3, 165,  58,   1, 167,  60,   3, 168,  61,   4, 170,  62,   6, 168,  61,   5,
   169,  62,   8, 166,  61,   8, 167,  62,  12, 169,  64,  17, 167,  65,  21, 168,  67,  28, 168,  69,  34, 168,  67,  38, 169,  70,  45, 170,  72,  51, 171,  73,  56, 171,  74,  60, 172,  75,  64, 174,  77,  70, 174,  80,  78, 173,  79,  82, 174,  79,  86, 172,  81,  92, 171,  82,  93, 171,  82,  96, 169,  82,  95,
   170,  82,  97, 170,  83,  97, 172,  84,  97, 173,  84,  96, 174,  84,  93, 177,  86,  93, 178,  85,  88, 181,  84,  86, 185,  86,  84, 184,  84,  78, 185,  83,  72, 186,  82,  68, 186,  83,  65, 183,  79,  58, 183,  79,  56, 184,  80,  51, 186,  82,  49, 187,  80,  43, 186,  80,  39, 188,  81,  38, 188,  79,  34,
   187,  79,  29, 188,  80,  28, 188,  78,  21, 188,  79,  22, 189,  80,  25, 187,  77,  16, 189,  80,  20, 189,  79,  14, 190,  79,  14, 190,  80,  14, 190,  79,  13, 191,  79,  12, 191,  79,  11, 191,  79,  10, 191,  78,   6, 192,  80,   8, 191,  80,   6, 192,  79,   6, 192,  78,   5, 194,  80,   8, 192,  77,   4,
   192,  79,   9, 190,  79,  14, 181,  72,  10, 166,  62,  12, 147,  53,  18, 121,  38,  15,  88,  25,  14,  67,  14,   8,  68,  15,  13,  75,  20,  22,  95,  29,  35, 109,  37,  46, 123,  48,  60, 135,  60,  78, 137,  65, 102, 125,  60, 127, 109,  58, 138,  95,  60, 146,  85,  67, 150,  80,  99, 177,  63, 141, 223,
    51, 129, 211,  30, 112, 191,  20,  93, 184,   4,  50, 151,  10,  53, 148,  14,  51, 146,  14,  49, 143,  18,  50, 143,  19,  51, 143,  16,  48, 141,  15,  47, 141,  13,  45, 138,  11,  41, 134,   7,  38, 129,   7,  37, 127,   4,  32, 120,   5,  32, 117,   7,  34, 115,   8,  32, 110,  15,  33, 109,  18,  34, 107,
    19,  34, 103,  20,  31,  99,  21,  34, 100,  18,  31,  97,  17,  29,  97,  16,  29,  99,  16,  29, 100,  13,  31, 103,  11,  33, 107,   7,  38, 119,  13,  65, 144,  12,  79, 148,   9,  80, 149,   8,  82, 152,   6,  70, 142,   5,  35, 112,   5,  30, 101,  10,  33, 103,  17,  35, 104,  19,  35, 102,  18,  32,  98,
    20,  32,  95,  22,  31,  90,  25,  29,  83,  24,  25,  75,  27,  25,  71,  27,  25,  69,  25,  25,  67,  21,  24,  68,  15,  23,  68,   5,  20,  70,   4,  20,  72,   3,  21,  75,   2,  17,  72,   2,  17,  74,   3,  18,  72,   3,  14,  69,   2,  12,  65,   3,  13,  62,   6,  14,  59,  15,  18,  59,  22,  18,  59,
    28,  18,  61,  32,  18,  63,  32,  15,  64,  28,  18,  63,  25,  19,  64,  19,  20,  65,  16,  19,  65,  15,  19,  68,  11,  18,  66,  10,  17,  66,   6,  17,  65,   5,  15,  63,   5,  13,  58,   5,  15,  58,   9,  18,  58,  15,  20,  57,  23,  17,  57,  34,  15,  60,  39,  11,  61,  41,  11,  60,  41,  10,  59,
    37,   8,  55,  36,   8,  53,  33,   6,  50,  34,   6,  51,  33,   7,  49,  28,   6,  47,  25,   6,  46,  15,   6,  42,   9,   7,  40,   3,   5,  36,   3,   5,  34,   8,   5,  34,  17,   6,  36,  28,   5,  37,  41,   6,  35,  46,   9,  27,  48,   9,  24,  46,   7,  22,  42,   8,  23,  38,   7,  28,  38,   6,  33,
    34,   6,  37,  32,   5,  36,  25,   4,  33,  17,   3,  29,  15,   2,  25,  18,   3,  27,  28,   4,  29,  34,   4,  22,  39,   4,  17,  37,   1,  13,  31,   1,  10, 115,  27,   2, 116,  27,   2, 119,  28,   3, 119,  29,   2, 122,  31,   3, 121,  31,   2, 120,  30,   1, 122,  31,   1, 122,  32,   2, 125,  34,   2,
   125,  35,   2, 126,  35,   2, 129,  36,   2, 132,  36,   2, 133,  38,   2, 134,  38,   2, 134,  38,   2, 135,  38,   2, 135,  39,   2, 137,  40,   2, 139,  41,   2, 140,  43,   2, 142,  45,   1, 144,  44,   2, 146,  46,   2, 147,  45,   2, 150,  48,   2, 150,  47,   3, 151,  47,   3, 153,  49,   2, 152,  49,   2,
   155,  51,   5, 154,  50,   2, 156,  54,   2, 159,  53,   2, 160,  56,   2, 162,  56,   2, 163,  57,   3, 165,  57,   3, 164,  56,   3, 164,  57,   4, 166,  59,   3, 168,  61,   2, 168,  59,   4, 168,  60,   4, 168,  60,   3, 168,  61,   5, 170,  63,   6, 168,  63,   7, 169,  64,  12, 168,  64,  18, 167,  64,  18,
   167,  65,  24, 169,  66,  31, 168,  68,  36, 169,  68,  44, 171,  71,  50, 171,  74,  56, 171,  74,  60, 173,  75,  66, 173,  79,  74, 174,  78,  78, 173,  79,  86, 174,  82,  93, 171,  80,  96, 170,  83,  99, 171,  85, 103, 168,  84, 102, 167,  84, 103, 167,  84, 103, 166,  84, 101, 168,  86, 103, 169,  85, 103,
   170,  86, 102, 173,  86, 102, 176,  86, 100, 180,  87,  96, 182,  86,  92, 183,  86,  86, 184,  85,  80, 184,  81,  72, 186,  82,  71, 184,  81,  65, 184,  81,  62, 185,  81,  56, 184,  80,  51, 188,  82,  49, 188,  82,  43, 188,  80,  40, 188,  81,  42, 189,  81,  36, 189,  81,  31, 190,  81,  28, 191,  80,  28,
   191,  81,  26, 189,  80,  25, 190,  80,  24, 189,  78,  20, 191,  81,  21, 190,  79,  18, 191,  80,  16, 192,  80,  14, 192,  80,  15, 191,  79,  10, 192,  79,  10, 193,  81,   9, 191,  80,   8, 192,  79,   6, 194,  81,   7, 194,  80,   7, 195,  81,   7, 194,  81,  10, 192,  80,  14, 184,  74,  10, 171,  66,  16,
   150,  55,  18, 126,  41,  17,  97,  30,  20,  71,  17,  10,  72,  16,   9,  85,  22,  17, 106,  33,  29, 125,  41,  38, 137,  51,  54, 144,  60,  70, 151,  69,  86, 151,  72,  98, 139,  68, 117, 123,  61, 132, 111,  63, 141,  89,  94, 171,  66, 138, 222,  45, 120, 200,  11,  86, 160,  15,  96, 176,  21,  85, 177,
    14,  43, 132,  22,  46, 130,  29,  49, 132,  34,  47, 128,  35,  48, 127,  37,  47, 126,  34,  45, 122,  32,  43, 121,  25,  40, 119,  19,  37, 116,  13,  32, 111,  12,  32, 106,  14,  32, 102,  18,  31, 100,  28,  34,  98,  35,  35,  95,  42,  33,  93,  47,  33,  93,  49,  34,  93,  49,  31,  90,  45,  29,  89,
    43,  29,  88,  41,  29,  87,  41,  31,  91,  35,  30,  90,  26,  37, 103,  23,  82, 160,  15,  88, 163,   7,  54, 124,   7,  68, 138,   6,  66, 135,   7,  81, 151,   7,  76, 148,  10,  28,  93,  18,  31,  89,  23,  32,  89,  27,  33,  87,  29,  33,  86,  30,  32,  85,  33,  34,  83,  34,  32,  78,  34,  32,  76,
    32,  30,  72,  32,  32,  74,  31,  32,  74,  22,  29,  74,  19,  31,  76,   8,  25,  75,   3,  23,  74,   2,  21,  77,   3,  23,  79,   3,  22,  79,   3,  19,  76,   3,  17,  73,   3,  18,  70,   3,  16,  66,   4,  18,  64,  14,  22,  65,  25,  24,  63,  32,  23,  65,  38,  25,  68,  36,  24,  69,  32,  20,  66,
    30,  22,  65,  23,  21,  61,  23,  23,  63,  21,  21,  63,  19,  20,  61,  14,  17,  60,  11,  17,  60,   9,  15,  59,   8,  17,  56,  12,  17,  54,  18,  20,  53,  26,  19,  54,  36,  15,  56,  50,  15,  60,  58,  16,  55,  62,  18,  54,  61,  17,  50,  56,  15,  50,  54,  14,  49,  51,  12,  46,  51,  13,  45,
    50,  12,  46,  43,   9,  45,  37,   6,  44,  28,   7,  42,  17,   6,  37,   8,   5,  33,   7,   5,  32,  11,   4,  31,  21,   5,  34,  33,   6,  36,  44,   9,  31,  50,  10,  27,  52,  10,  26,  51,  10,  24,  49,  11,  24,  48,  10,  25,  46,  10,  26,  43,   8,  25,  40,   9,  27,  33,   5,  30,  25,   3,  28,
    21,   2,  26,  25,   4,  25,  32,   5,  21,  37,   4,  15,  40,   2,  12,  37,   1,   8,  32,   1,   6, 117,  27,   2, 117,  28,   2, 117,  28,   2, 119,  29,   1, 120,  32,   2, 121,  32,   2, 122,  32,   2, 122,  32,   2, 122,  31,   1, 125,  34,   3, 126,  36,   1, 127,  36,   2, 128,  36,   2, 130,  37,   2,
   131,  37,   2, 133,  38,   2, 135,  40,   2, 135,  40,   2, 136,  42,   2, 137,  41,   2, 137,  41,   2, 139,  43,   2, 142,  43,   1, 143,  45,   2, 146,  47,   2, 146,  46,   2, 149,  47,   1, 152,  49,   2, 152,  50,   2, 153,  51,   3, 154,  51,   3, 155,  52,   4, 156,  53,   3, 157,  52,   2, 158,  53,   4,
   160,  56,   3, 162,  56,   4, 162,  54,   3, 164,  57,   2, 164,  56,   3, 167,  59,   4, 167,  59,   2, 168,  61,   3, 167,  60,   3, 167,  61,   3, 169,  61,   4, 169,  63,   6, 169,  63,   7, 169,  64,  10, 168,  64,  14, 169,  65,  19, 167,  64,  22, 168,  66,  28, 170,  70,  37, 169,  69,  41, 168,  67,  45,
   170,  73,  55, 170,  73,  59, 173,  77,  66, 173,  79,  74, 173,  80,  80, 175,  82,  90, 171,  82,  95, 169,  82, 100, 172,  85, 104, 169,  85, 103, 166,  84, 105, 166,  86, 109, 162,  87, 111, 160,  86, 112, 161,  85, 110, 162,  86, 109, 165,  88, 110, 168,  88, 108, 171,  88, 106, 175,  88, 107, 177,  89, 108,
   180,  89, 101, 184,  88,  96, 186,  89,  92, 185,  86,  84, 186,  85,  78, 186,  83,  73, 185,  82,  67, 186,  83,  63, 185,  82,  58, 187,  84,  53, 187,  82,  47, 187,  80,  42, 189,  79,  40, 189,  81,  39, 191,  81,  39, 191,  83,  36, 191,  82,  29, 191,  82,  29, 190,  80,  27, 190,  79,  22, 191,  82,  23,
   192,  81,  21, 193,  82,  19, 193,  81,  17, 194,  82,  19, 193,  81,  16, 192,  79,  13, 193,  79,  14, 192,  80,  10, 194,  82,  10, 194,  80,   8, 194,  81,   8, 196,  81,   8, 194,  81,   7, 194,  82,  10, 193,  81,  15, 186,  75,  16, 173,  68,  13, 153,  56,  18, 131,  46,  21,  99,  31,  20,  78,  20,  13,
    75,  17,   9,  89,  25,  17, 110,  35,  21, 133,  45,  29, 148,  55,  38, 161,  64,  55, 165,  71,  73, 162,  72,  81, 159,  70,  83, 155,  71,  92, 148,  73, 107, 129,  99, 154,  76, 144, 227,  48, 120, 198,  17,  95, 170,  12,  86, 162,  20, 110, 193,  27,  60, 136,  38,  43, 112,  53,  40, 107,  62,  42, 111,
    65,  38, 108,  67,  37, 107,  63,  37, 107,  54,  35, 102,  44,  35,  98,  36,  35,  97,  27,  32,  92,  27,  32,  90,  29,  31,  85,  36,  32,  84,  46,  29,  86,  59,  29,  89,  71,  30,  91,  76,  30,  89,  80,  32,  89,  79,  31,  88,  77,  31,  88,  72,  28,  86,  71,  29,  87,  65,  28,  88,  53,  32,  92,
    35,  70, 134,  20,  83, 155,   7,  62, 131,   5,  60, 131,   6,  58, 131,   4,  59, 131,   6,  71, 142,   7,  79, 152,  19,  72, 138,  25,  29,  82,  28,  33,  85,  34,  37,  86,  34,  37,  85,  36,  37,  85,  36,  36,  83,  39,  39,  85,  37,  39,  84,  35,  38,  83,  33,  38,  83,  29,  37,  81,  22,  35,  82,
    18,  35,  83,  11,  31,  83,   4,  27,  83,   2,  25,  81,   3,  26,  81,   3,  22,  79,   3,  20,  76,   3,  19,  74,   2,  18,  74,   2,  21,  74,   4,  22,  71,  12,  25,  72,  21,  26,  69,  29,  30,  69,  34,  31,  69,  35,  29,  69,  31,  28,  68,  26,  26,  68,  25,  26,  67,  25,  26,  68,  22,  24,  65,
    20,  22,  63,  16,  20,  62,  13,  19,  60,  10,  18,  59,  10,  17,  56,  16,  21,  57,  23,  23,  56,  33,  20,  58,  45,  17,  61,  59,  19,  60,  70,  24,  56,  71,  25,  51,  72,  25,  51,  66,  22,  50,  62,  19,  48,  61,  19,  49,  59,  20,  48,  55,  17,  45,  52,  14,  47,  46,  11,  47,  35,   8,  45,
    24,   7,  42,  16,   9,  39,  12,   7,  36,  15,   7,  33,  26,   7,  36,  40,   9,  37,  52,  14,  31,  59,  16,  29,  61,  16,  27,  59,  15,  25,  55,  13,  25,  54,  14,  26,  52,  11,  27,  51,  13,  28,  44,  11,  27,  39,   9,  30,  31,   5,  32,  26,   4,  30,  29,   5,  26,  35,   7,  21,  40,   5,  16,
    41,   2,  10,  41,   1,   8,  36,   1,   7, 115,  28,   2, 118,  30,   3, 118,  30,   2, 119,  30,   1, 120,  32,   2, 120,  32,   2, 122,  32,   3, 123,  31,   3, 123,  33,   2, 126,  34,   2, 125,  34,   3, 127,  36,   2, 127,  36,   1, 130,  36,   2, 131,  38,   2, 132,  39,   2, 133,  39,   2, 134,  39,   2,
   136,  41,   2, 137,  41,   2, 138,  42,   2, 140,  43,   2, 142,  44,   2, 143,  45,   2, 147,  47,   3, 145,  46,   2, 150,  49,   2, 150,  49,   2, 151,  48,   3, 152,  48,   3, 153,  51,   4, 156,  53,   4, 156,  52,   3, 157,  52,   3, 159,  54,   2, 161,  56,   3, 162,  57,   3, 163,  58,   2, 164,  57,   4,
   165,  58,   4, 166,  60,   6, 166,  59,   3, 167,  59,   2, 168,  61,   3, 168,  63,   4, 168,  61,   4, 169,  62,   6, 168,  63,   6, 168,  64,   9, 167,  64,  15, 170,  66,  22, 168,  66,  26, 168,  66,  31, 168,  69,  36, 169,  69,  45, 171,  71,  53, 170,  72,  59, 172,  75,  63, 172,  76,  70, 172,  80,  77,
   174,  81,  86, 171,  82,  95, 171,  84, 103, 170,  87, 105, 168,  86, 106, 167,  88, 112, 162,  87, 119, 158,  85, 125, 152,  85, 132, 149,  82, 134, 150,  84, 135, 152,  85, 134, 154,  85, 128, 164,  90, 124, 168,  90, 113, 173,  92, 112, 177,  92, 111, 179,  91, 111, 180,  89, 103, 186,  91, 101, 186,  89,  92,
   186,  86,  84, 187,  85,  79, 186,  84,  71, 185,  83,  65, 185,  82,  60, 187,  84,  56, 189,  84,  51, 189,  83,  47, 191,  84,  48, 191,  82,  45, 191,  81,  39, 189,  81,  36, 192,  82,  33, 190,  81,  29, 191,  81,  30, 192,  82,  29, 192,  81,  26, 192,  81,  21, 191,  80,  17, 193,  81,  16, 193,  82,  20,
   193,  81,  17, 194,  82,  14, 194,  82,  14, 193,  80,   9, 193,  81,  10, 196,  82,  10, 193,  80,   7, 195,  81,   9, 193,  80,   7, 193,  81,  10, 194,  82,  16, 187,  75,  16, 176,  69,  13, 158,  60,  18, 133,  47,  19, 105,  34,  21,  81,  22,  15,  79,  21,  12,  88,  23,  13, 110,  36,  17, 138,  49,  20,
   156,  59,  26, 172,  70,  42, 176,  73,  51, 178,  76,  62, 174,  74,  67, 168,  70,  74, 163,  70,  77, 156,  87, 112,  77, 128, 205,  54, 126, 206,  28, 106, 183,  16,  97, 172,  26, 117, 201,  53, 153, 221,  46,  69, 139,  76,  28,  94,  90,  36,  96,  95,  38,  95,  96,  40, 100,  89,  37,  98,  79,  33,  97,
    65,  32,  94,  51,  30,  87,  43,  32,  83,  41,  33,  84,  42,  32,  80,  49,  27,  82,  62,  30,  87,  78,  34,  89,  91,  37,  85, 100,  44,  83, 102,  47,  83,  98,  44,  79,  98,  43,  84,  93,  39,  86,  89,  37,  88,  81,  38,  93,  58,  57, 116,  24,  84, 155,   4,  46, 112,  12,  80, 152,  10,  81, 157,
    11,  87, 161,   6,  61, 134,   8,  56, 130,   6,  70, 144,  13,  96, 167,  25,  37,  91,  28,  37,  90,  35,  41,  92,  36,  41,  93,  37,  41,  95,  35,  42,  92,  33,  41,  91,  31,  42,  91,  29,  41,  90,  24,  37,  90,  23,  40,  90,  17,  37,  88,  11,  34,  88,   5,  31,  87,   2,  27,  84,   2,  28,  85,
     3,  24,  83,   3,  23,  81,   3,  23,  80,   2,  20,  77,   4,  21,  78,   3,  22,  77,   3,  24,  78,   8,  27,  76,  15,  27,  76,  20,  28,  73,  28,  32,  76,  30,  33,  75,  28,  32,  77,  24,  32,  77,  20,  29,  73,  18,  27,  72,  18,  24,  69,  20,  25,  68,  16,  22,  66,  13,  21,  64,   7,  19,  62,
     8,  20,  61,  13,  23,  61,  20,  24,  59,  32,  25,  61,  46,  22,  67,  61,  24,  68,  72,  27,  66,  74,  28,  63,  74,  27,  61,  69,  24,  62,  64,  22,  60,  61,  21,  59,  59,  22,  58,  57,  21,  56,  53,  18,  54,  48,  15,  55,  37,  12,  51,  26,  11,  48,  13,   9,  40,  11,   9,  37,  14,   7,  37,
    26,   9,  40,  40,  11,  43,  53,  16,  38,  59,  19,  35,  63,  19,  34,  61,  17,  31,  60,  17,  32,  57,  16,  31,  56,  17,  34,  52,  17,  34,  49,  14,  35,  41,   9,  38,  32,   8,  39,  28,   7,  36,  29,   6,  32,  32,   6,  24,  34,   4,  16,  36,   2,  10,  36,   2,   7,  29,   1,   5, 113,  27,   2,
   115,  29,   2, 116,  29,   2, 117,  28,   2, 119,  30,   2, 119,  31,   2, 121,  32,   2, 120,  32,   2, 124,  34,   2, 123,  34,   2, 125,  36,   2, 125,  35,   1, 127,  36,   2, 130,  38,   2, 130,  37,   2, 132,  38,   3, 133,  38,   2, 134,  41,   2, 136,  42,   2, 137,  41,   1, 138,  42,   2, 138,  42,   2,
   141,  44,   2, 144,  46,   2, 145,  46,   2, 147,  45,   2, 150,  49,   3, 148,  46,   3, 150,  49,   2, 154,  50,   3, 155,  53,   4, 154,  51,   2, 156,  53,   3, 156,  55,   2, 159,  56,   3, 161,  57,   3, 161,  57,   3, 161,  57,   2, 163,  57,   2, 164,  58,   3, 165,  58,   3, 166,  60,   4, 168,  60,   4,
   167,  61,   3, 169,  63,   4, 168,  61,   3, 167,  61,   4, 169,  65,  12, 169,  63,  10, 169,  65,  17, 167,  65,  20, 170,  67,  28, 169,  68,  34, 170,  68,  40, 169,  70,  49, 171,  74,  58, 172,  75,  64, 172,  76,  70, 172,  78,  76, 174,  81,  84, 172,  83,  95, 170,  83, 102, 170,  86, 106, 169,  88, 110,
   166,  89, 115, 160,  88, 128, 149,  86, 144, 134,  85, 158, 123,  89, 170, 117,  96, 178, 117, 101, 180, 120, 101, 180, 128,  98, 176, 148,  92, 158, 162,  94, 141, 172,  96, 130, 178,  97, 119, 181,  95, 115, 181,  92, 112, 183,  91, 107, 187,  91,  99, 184,  87,  88, 187,  87,  83, 187,  86,  75, 188,  85,  69,
   187,  85,  64, 188,  85,  59, 190,  82,  53, 188,  82,  49, 192,  85,  51, 190,  83,  47, 191,  80,  42, 192,  81,  39, 193,  84,  39, 191,  82,  33, 192,  83,  32, 192,  82,  29, 190,  81,  24, 192,  83,  28, 193,  84,  25, 193,  82,  18, 194,  83,  21, 194,  82,  15, 193,  81,  12, 195,  83,  14, 195,  83,  13,
   194,  81,  10, 193,  81,   9, 195,  83,  11, 194,  82,  10, 193,  82,  11, 192,  80,  10, 193,  81,  16, 189,  79,  18, 179,  72,  14, 160,  61,  19, 136,  48,  20, 110,  39,  24,  86,  25,  16,  82,  22,  13,  90,  25,  15, 109,  33,  16, 138,  48,  18, 162,  59,  19, 178,  70,  27, 188,  77,  34, 193,  80,  46,
   188,  78,  46, 182,  75,  49, 180,  73,  56, 170,  91,  99,  99, 126, 195,  59, 132, 209,  36, 116, 188,  22, 101, 177,  21, 103, 182,  24,  95, 172,  35, 133, 208,  86,  43,  96, 105,  45,  82, 109,  50,  82, 112,  50,  84, 107,  47,  87,  95,  41,  92,  81,  38,  93,  66,  34,  90,  57,  34,  86,  54,  35,  87,
    55,  35,  86,  59,  32,  86,  71,  35,  88,  91,  43,  94, 101,  46,  89, 110,  52,  89, 115,  55,  92, 113,  53,  91, 107,  51,  95, 105,  50, 101,  98,  46, 101,  84,  53, 111,  35,  95, 167,  12,  61, 126,   9,  64, 134,   8,  88, 162,   8,  82, 160,   9,  82, 158,   9,  78, 150,   5,  49, 124,   5,  50, 124,
     8,  66, 138,  22,  83, 150,  26,  39,  96,  30,  43, 101,  31,  45, 104,  32,  45, 104,  29,  46, 102,  25,  43, 100,  26,  46, 100,  24,  43,  98,  23,  42,  97,  22,  42,  97,  17,  40,  95,   7,  33,  90,   5,  34,  91,   3,  30,  89,   4,  26,  86,   3,  23,  83,   3,  20,  80,   2,  20,  79,   3,  21,  80,
     3,  21,  78,   4,  24,  81,   3,  27,  80,   8,  30,  83,  12,  30,  80,  16,  31,  80,  23,  34,  82,  19,  33,  81,  18,  34,  82,  12,  31,  80,  13,  29,  82,  16,  31,  81,  14,  28,  77,  16,  26,  74,  15,  25,  71,  10,  23,  68,   8,  23,  68,   4,  20,  65,   8,  22,  66,  16,  25,  65,  26,  28,  66,
    39,  26,  69,  55,  27,  76,  67,  27,  77,  72,  28,  76,  73,  27,  75,  67,  25,  72,  60,  24,  69,  57,  23,  68,  54,  21,  65,  53,  20,  64,  51,  18,  63,  44,  17,  59,  37,  16,  56,  25,  15,  50,  15,  12,  46,   8,  10,  42,  12,  10,  41,  19,  11,  43,  34,  12,  47,  49,  15,  49,  58,  18,  45,
    62,  21,  43,  61,  19,  41,  59,  19,  42,  55,  17,  42,  53,  15,  43,  48,  14,  44,  44,  12,  45,  35,   9,  44,  28,   8,  42,  21,   8,  37,  21,   7,  35,  23,   5,  27,  27,   3,  19,  27,   2,  11,  26,   2,   7,  24,   2,   5, 114,  28,   2, 115,  30,   2, 115,  30,   2, 116,  30,   2, 118,  29,   2,
   119,  31,   2, 120,  33,   2, 122,  32,   2, 123,  34,   3, 123,  33,   2, 125,  36,   2, 126,  36,   2, 128,  36,   1, 129,  38,   3, 129,  37,   3, 132,  39,   2, 131,  38,   2, 134,  40,   2, 135,  41,   1, 137,  42,   3, 138,  43,   2, 138,  42,   1, 143,  45,   3, 142,  45,   2, 144,  46,   2, 145,  47,   2,
   148,  49,   3, 149,  48,   3, 150,  51,   3, 154,  52,   4, 152,  50,   3, 155,  53,   3, 155,  54,   3, 158,  56,   3, 158,  55,   3, 160,  56,   3, 162,  57,   4, 161,  57,   3, 165,  58,   5, 164,  58,   5, 166,  60,   6, 165,  58,   5, 167,  60,   5, 167,  62,   5, 168,  63,   5, 168,  63,   7, 168,  64,  10,
   168,  64,  11, 168,  64,  13, 168,  65,  18, 168,  66,  22, 168,  67,  33, 169,  69,  38, 170,  69,  44, 171,  72,  52, 172,  75,  60, 173,  76,  67, 171,  78,  74, 173,  80,  80, 174,  83,  90, 173,  84, 102, 173,  87, 107, 172,  91, 112, 167,  90, 117, 161,  88, 132, 146,  86, 152, 125,  95, 177, 109, 115, 196,
   105, 136, 212, 116, 155, 221, 124, 168, 229, 129, 173, 229, 128, 171, 227, 122, 149, 214, 142, 116, 190, 166,  99, 160, 178, 101, 136, 182, 102, 124, 186,  99, 118, 183,  93, 112, 188,  94, 105, 186,  90,  94, 188,  90,  88, 187,  87,  79, 188,  85,  71, 189,  86,  67, 188,  86,  62, 190,  85,  59, 188,  83,  50,
   191,  84,  51, 192,  85,  50, 189,  82,  44, 192,  83,  43, 193,  83,  39, 193,  84,  37, 194,  84,  34, 192,  83,  30, 191,  81,  25, 194,  84,  26, 192,  82,  21, 194,  83,  20, 194,  83,  16, 195,  83,  17, 195,  83,  15, 195,  83,  13, 195,  84,  14, 195,  83,  12, 195,  82,   8, 195,  81,   8, 194,  82,   9,
   193,  81,  10, 193,  81,   9, 195,  84,  17, 192,  80,  17, 182,  74,  20, 163,  63,  18, 143,  52,  22, 115,  39,  22,  91,  29,  19,  85,  23,  14,  88,  24,  13, 108,  33,  15, 135,  47,  15, 161,  59,  14, 179,  70,  13, 192,  81,  23, 197,  82,  28, 199,  84,  30, 197,  83,  37, 191,  80,  38, 185,  81,  53,
   151, 119, 153,  77, 152, 232,  63, 138, 218,  53, 132, 214,  31, 116, 197,  27, 114, 196,  18, 104, 182,  76, 101, 157, 116,  49,  80, 118,  57,  87, 121,  56,  88, 113,  53,  88, 107,  51,  98,  92,  46, 101,  75,  44,  98,  65,  43,  96,  58,  44,  94,  56,  43,  93,  63,  44,  95,  77,  47, 102,  92,  49, 106,
   105,  53, 108, 114,  57, 106, 116,  58, 111, 115,  58, 114, 109,  57, 116, 101,  51, 115,  91,  56, 120,  59,  83, 149,  18,  71, 140,  13,  51, 119,   7,  57, 127,   7,  69, 145,   4,  71, 151,   6,  63, 143,   5,  55, 133,   5,  57, 129,   5,  43, 118,   5,  51, 124,  16,  97, 171,  25,  42, 107,  28,  48, 110,
    29,  48, 111,  27,  49, 114,  24,  49, 112,  21,  47, 109,  24,  50, 109,  22,  48, 106,  22,  47, 102,  19,  43,  98,  19,  40,  96,  10,  36,  92,   6,  33,  91,   3,  28,  87,   2,  25,  84,   2,  23,  83,   2,  22,  81,   2,  20,  80,   3,  20,  80,   3,  22,  79,   2,  25,  81,   3,  26,  82,   6,  30,  84,
    13,  34,  86,  17,  34,  85,  18,  35,  86,  16,  36,  87,  13,  34,  89,   9,  33,  89,   7,  29,  86,   9,  31,  86,  14,  31,  84,  15,  29,  80,  14,  28,  76,  11,  25,  72,   5,  22,  68,   4,  21,  68,   4,  22,  69,  10,  24,  69,  21,  30,  72,  34,  32,  73,  46,  31,  77,  57,  26,  81,  63,  29,  82,
    61,  26,  79,  57,  24,  76,  53,  26,  75,  47,  22,  71,  48,  23,  72,  46,  20,  68,  45,  19,  68,  42,  21,  65,  35,  21,  61,  22,  18,  53,  12,  14,  50,   7,  11,  47,   8,  12,  45,  13,  14,  45,  25,  14,  47,  41,  13,  52,  52,  16,  55,  57,  18,  53,  56,  16,  50,  53,  13,  51,  48,  13,  51,
    47,  13,  52,  43,  12,  51,  37,  10,  49,  28,  11,  47,  18,  10,  42,  12,   8,  37,  11,   8,  33,  14,   5,  27,  19,   2,  19,  20,   1,   9,  19,   2,   4,  19,   2,   3, 113,  27,   2, 113,  28,   2, 116,  30,   2, 118,  32,   1, 118,  30,   2, 119,  29,   3, 120,  32,   2, 120,  33,   2, 122,  34,   2,
   124,  35,   1, 126,  36,   2, 125,  36,   2, 127,  37,   2, 128,  37,   2, 131,  39,   3, 130,  38,   2, 131,  38,   2, 135,  42,   2, 135,  42,   2, 136,  42,   1, 138,  43,   2, 138,  44,   1, 139,  43,   2, 142,  45,   1, 145,  48,   2, 145,  48,   2, 147,  49,   2, 149,  50,   4, 150,  50,   2, 153,  52,   4,
   153,  51,   3, 154,  52,   3, 155,  53,   4, 158,  56,   5, 157,  55,   3, 159,  57,   4, 161,  57,   5, 161,  58,   4, 164,  59,   2, 165,  59,   4, 165,  59,   5, 166,  59,   5, 166,  61,   4, 167,  61,   4, 167,  63,   5, 167,  64,   8, 168,  64,  11, 167,  64,  13, 168,  65,  16, 169,  67,  20, 167,  67,  25,
   170,  69,  33, 169,  69,  37, 169,  69,  45, 168,  72,  53, 171,  75,  61, 171,  76,  69, 172,  80,  77, 174,  81,  85, 173,  84,  96, 171,  86, 103, 171,  89, 109, 169,  91, 115, 164,  89, 134, 150,  88, 157, 124, 105, 186, 117, 164, 229, 143, 224, 251, 192, 252, 253, 230, 255, 254, 242, 255, 255, 244, 255, 255,
   232, 255, 254, 196, 253, 254, 150, 224, 251, 144, 150, 217, 174, 104, 167, 186, 106, 138, 187, 103, 123, 189,  99, 119, 186,  95, 111, 188,  93, 100, 189,  90,  92, 188,  88,  82, 189,  87,  77, 190,  87,  69, 189,  87,  65, 190,  86,  61, 191,  86,  56, 191,  85,  53, 192,  85,  51, 191,  84,  46, 192,  83,  43,
   193,  85,  42, 193,  83,  36, 193,  84,  35, 194,  84,  32, 193,  83,  30, 192,  83,  27, 194,  83,  23, 195,  82,  24, 196,  84,  20, 195,  83,  17, 194,  83,  15, 194,  82,  12, 194,  83,  11, 195,  84,   9, 196,  85,  10, 195,  84,  12, 195,  83,  10, 195,  84,  13, 194,  81,   8, 195,  83,  13, 193,  83,  18,
   184,  76,  18, 166,  64,  18, 148,  56,  24, 122,  43,  24,  95,  29,  19,  87,  24,  14,  91,  26,  16, 107,  33,  15, 133,  46,  15, 160,  59,  13, 182,  72,  12, 192,  79,  12, 200,  84,  15, 203,  85,  13, 204,  87,  23, 202,  86,  33, 196,  80,  34, 180,  86,  66,  68, 126, 203,  71, 143, 226,  56, 133, 213,
    59, 151, 227,  23, 108, 188,  11,  87, 162,  44, 117, 195, 103,  57, 106, 113,  58, 107, 119,  60, 105, 114,  56, 105, 102,  52, 110,  85,  47, 109,  69,  46, 103,  57,  48, 100,  53,  48,  99,  55,  51, 102,  60,  51, 103,  72,  52, 109,  88,  55, 116,  97,  55, 118, 108,  61, 122, 109,  62, 125, 107,  61, 126,
   103,  63, 127,  92,  60, 126,  74,  71, 135,  29,  78, 148,  13,  52, 120,   9,  57, 127,  14,  88, 163,  16,  98, 176,  10,  78, 159,   9,  82, 163,   7,  62, 143,   5,  45, 123,   3,  33, 110,   5,  45, 120,  13,  73, 146,  19,  68, 138,  23,  48, 114,  25,  51, 117,  22,  52, 118,  18,  51, 116,  15,  49, 114,
    17,  47, 110,  16,  45, 106,  23,  47, 103,  24,  43,  99,  24,  41,  97,  18,  37,  92,  12,  34,  89,   4,  29,  85,   3,  23,  80,   4,  25,  83,   3,  19,  78,   3,  21,  79,   3,  20,  78,   2,  24,  79,   4,  27,  82,   4,  27,  82,   8,  33,  86,  13,  34,  86,  17,  36,  89,  15,  34,  87,  13,  35,  89,
    10,  36,  91,   5,  33,  90,   5,  30,  89,   8,  30,  87,  12,  30,  87,  15,  30,  82,  15,  28,  78,  11,  25,  74,   5,  22,  71,   4,  24,  72,   4,  23,  71,   7,  26,  74,  16,  29,  77,  26,  31,  77,  36,  34,  79,  44,  33,  82,  47,  29,  81,  50,  30,  82,  48,  28,  78,  43,  27,  74,  40,  25,  73,
    40,  26,  72,  40,  25,  72,  38,  26,  69,  37,  26,  66,  30,  24,  62,  19,  20,  57,   9,  15,  55,   5,  13,  53,   5,  12,  51,   9,  15,  49,  17,  18,  49,  34,  18,  54,  46,  18,  59,  52,  17,  60,  53,  16,  59,  51,  14,  58,  47,  14,  57,  43,  14,  56,  37,  14,  53,  30,  14,  50,  21,  15,  46,
    13,  12,  43,   6,   9,  37,   4,   5,  30,   5,   3,  23,   8,   2,  15,  12,   3,   8,  15,   2,   3,  19,   1,   3, 115,  29,   2, 114,  28,   2, 116,  29,   3, 116,  30,   2, 117,  29,   2, 118,  31,   1, 120,  32,   2, 120,  32,   2, 123,  34,   2, 124,  35,   2, 125,  36,   2, 126,  36,   2, 126,  36,   2,
   127,  36,   1, 128,  36,   2, 130,  38,   2, 132,  41,   2, 134,  40,   2, 134,  40,   2, 137,  43,   1, 138,  43,   2, 138,  43,   2, 141,  45,   2, 142,  46,   2, 144,  45,   1, 146,  48,   3, 147,  48,   2, 148,  49,   3, 150,  50,   3, 152,  51,   4, 153,  52,   4, 154,  55,   4, 156,  55,   4, 157,  55,   5,
   158,  56,   3, 157,  56,   3, 160,  57,   5, 160,  57,   4, 163,  59,   3, 164,  59,   4, 164,  60,   4, 165,  60,   4, 166,  60,   4, 166,  61,   5, 167,  63,   6, 168,  64,  11, 168,  65,  13, 166,  65,  13, 167,  65,  17, 169,  68,  25, 168,  68,  28, 169,  69,  36, 168,  68,  39, 168,  70,  47, 170,  73,  56,
   171,  76,  63, 172,  78,  72, 173,  80,  81, 174,  81,  89, 172,  84, 101, 171,  86, 105, 173,  92, 114, 168,  93, 130, 154,  87, 153, 128, 101, 181, 123, 176, 236, 168, 246, 253, 229, 254, 253, 254, 254, 254, 253, 253, 253, 253, 253, 254, 253, 254, 254, 255, 254, 254, 250, 254, 253, 213, 253, 253, 151, 223, 250,
   160, 134, 206, 188, 110, 160, 193, 111, 133, 192, 102, 123, 189,  99, 115, 189,  95, 105, 187,  91,  95, 190,  92,  88, 188,  88,  79, 190,  88,  74, 191,  88,  69, 189,  86,  62, 191,  87,  59, 192,  85,  56, 195,  87,  56, 193,  86,  50, 192,  84,  46, 193,  85,  44, 194,  85,  39, 195,  85,  36, 195,  85,  31,
   196,  86,  34, 193,  84,  26, 194,  83,  23, 195,  85,  26, 196,  86,  21, 195,  84,  20, 196,  85,  22, 194,  82,  15, 197,  84,  15, 198,  85,  15, 197,  85,  13, 197,  84,  12, 197,  83,   8, 195,  83,   8, 196,  84,   8, 195,  84,  11, 193,  82,  16, 186,  77,  20, 173,  69,  24, 153,  58,  24, 126,  44,  23,
    99,  31,  22,  87,  25,  17,  89,  23,  13, 104,  31,  16, 130,  46,  17, 158,  59,  14, 180,  71,  12, 195,  82,  16, 204,  87,  17, 207,  88,  10, 208,  89,  18, 204,  87,  25, 200,  84,  37, 189, 100,  92, 123, 174, 244,  79, 153, 232,  40, 117, 196,  22, 115, 189,  47, 139, 219,  28, 120, 203,  14,  92, 170,
    51,  82, 152,  89,  56, 114, 106,  59, 119, 101,  58, 119,  91,  54, 116,  78,  52, 113,  64,  54, 108,  54,  54, 106,  48,  50, 106,  49,  51, 106,  56,  55, 109,  67,  58, 115,  81,  57, 119,  90,  58, 123,  99,  65, 129,  97,  64, 129,  94,  66, 130,  86,  62, 127,  74,  73, 133,  47,  97, 164,  12,  47, 115,
    11,  57, 124,  11,  77, 148,  19, 104, 180,  12,  94, 174,   7,  86, 167,  12,  94, 175,   9,  87, 167,  10,  82, 160,   3,  41, 118,   3,  39, 115,   5,  56, 131,  23,  96, 170,  21,  51, 117,  23,  52, 116,  21,  50, 117,  17,  50, 117,  16,  49, 115,  22,  49, 113,  22,  46, 108,  27,  47, 104,  30,  43, 100,
    30,  42,  95,  28,  38,  91,  19,  33,  87,   8,  27,  80,   5,  25,  78,   2,  21,  75,   3,  19,  75,   3,  18,  75,   2,  19,  75,   3,  21,  76,   4,  23,  77,   6,  28,  82,  12,  32,  85,  16,  34,  86,  20,  36,  89,  21,  37,  91,  16,  37,  92,  13,  37,  93,   8,  35,  92,   8,  33,  92,  13,  35,  92,
    14,  32,  88,  18,  32,  87,  18,  30,  80,  16,  28,  78,  11,  26,  74,   5,  24,  71,   6,  27,  75,   6,  24,  76,   9,  28,  79,  18,  32,  83,  27,  37,  85,  34,  37,  85,  35,  37,  82,  37,  37,  80,  37,  35,  80,  35,  33,  78,  33,  30,  75,  32,  29,  72,  33,  29,  71,  32,  30,  71,  31,  30,  69,
    28,  26,  66,  16,  22,  62,   8,  18,  61,   3,  15,  58,   3,  15,  55,   7,  17,  55,  13,  19,  54,  28,  22,  55,  42,  20,  62,  48,  19,  66,  50,  18,  65,  48,  15,  62,  45,  17,  61,  40,  17,  58,  33,  18,  55,  26,  17,  52,  17,  15,  46,   9,  11,  42,   4,   7,  37,   3,   3,  29,   2,   2,  18,
     4,   1,  10,   9,   2,   6,  14,   2,   3,  24,   2,   4, 114,  28,   1, 116,  29,   3, 114,  29,   2, 117,  31,   2, 117,  31,   3, 118,  32,   2, 120,  33,   1, 120,  33,   2, 122,  35,   2, 125,  35,   2, 124,  35,   1, 126,  37,   3, 127,  38,   2, 126,  36,   2, 127,  37,   2, 130,  39,   4, 130,  39,   1,
   133,  41,   2, 134,  42,   3, 137,  42,   2, 139,  44,   2, 139,  45,   2, 140,  45,   2, 142,  46,   3, 143,  47,   3, 144,  47,   2, 147,  48,   3, 147,  50,   5, 149,  50,   3, 152,  50,   4, 152,  51,   3, 154,  53,   4, 155,  54,   4, 156,  54,   4, 159,  58,   6, 158,  56,   5, 161,  59,   6, 162,  59,   4,
   163,  59,   4, 164,  60,   3, 165,  60,   4, 164,  60,   3, 167,  62,   4, 166,  62,   6, 168,  63,   9, 166,  62,  10, 167,  64,  14, 167,  66,  18, 166,  64,  16, 169,  67,  24, 167,  68,  29, 169,  70,  37, 167,  68,  41, 170,  72,  52, 170,  75,  59, 172,  77,  63, 172,  79,  74, 173,  80,  82, 173,  82,  93,
   172,  85, 103, 172,  88, 108, 173,  93, 118, 164,  90, 139, 140,  90, 169, 120, 134, 213, 151, 234, 253, 226, 254, 253, 254, 254, 254, 252, 254, 254, 254, 254, 254, 253, 254, 254, 254, 254, 254, 254, 254, 254, 252, 254, 254, 248, 254, 253, 196, 248, 253, 150, 181, 236, 188, 115, 180, 196, 115, 141, 195, 107, 127,
   190,  99, 120, 188,  97, 108, 190,  95, 101, 188,  92,  91, 189,  90,  83, 191,  88,  77, 191,  88,  71, 190,  88,  66, 193,  88,  63, 192,  86,  58, 192,  86,  55, 195,  88,  54, 193,  86,  48, 194,  85,  43, 193,  86,  43, 195,  86,  40, 195,  86,  36, 194,  85,  31, 195,  86,  27, 194,  86,  28, 196,  84,  22,
   196,  85,  19, 195,  83,  19, 197,  85,  23, 196,  85,  17, 196,  84,  16, 197,  85,  15, 197,  84,  11, 196,  84,  13, 197,  84,  11, 198,  85,  10, 198,  87,  15, 197,  85,  13, 196,  85,  20, 189,  79,  22, 176,  72,  21, 156,  58,  20, 132,  48,  25, 105,  35,  25,  89,  25,  17,  87,  24,  12, 103,  32,  18,
   128,  44,  17, 155,  57,  12, 177,  69,  12, 192,  78,   9, 202,  85,  11, 207,  88,  11, 208,  89,  13, 206,  87,  21, 203,  86,  33, 195,  89,  57, 155, 123, 154,  76, 148, 231,  70, 146, 227,  41, 126, 204,  24, 113, 192,  19, 110, 191,  31, 118, 201,  29, 111, 184,  30,  47, 107,  55,  50, 111,  84,  58, 119,
    78,  59, 119,  68,  56, 114,  56,  56, 111,  48,  54, 112,  39,  50, 110,  41,  51, 112,  49,  55, 114,  60,  60, 116,  72,  63, 121,  79,  63, 123,  81,  64, 126,  83,  67, 129,  77,  67, 128,  72,  70, 129,  59,  76, 139,  28,  78, 147,  10,  59, 129,   9,  76, 146,  18, 107, 184,  15, 101, 181,  10,  94, 174,
     7,  70, 152,   9,  85, 169,  10,  88, 170,   8,  75, 155,   5,  50, 128,   4,  46, 124,   7,  67, 143,  16, 101, 182,  22,  50, 119,  27,  54, 121,  25,  53, 118,  22,  52, 117,  21,  50, 115,  25,  49, 115,  28,  48, 112,  34,  49, 107,  37,  45, 100,  39,  43,  95,  34,  39,  89,  27,  35,  84,  16,  28,  77,
     7,  23,  73,   3,  19,  71,   4,  16,  69,   2,  14,  69,   3,  15,  70,   2,  18,  72,   5,  22,  76,  10,  27,  82,  18,  33,  85,  23,  37,  90,  27,  40,  93,  26,  39,  94,  23,  39,  96,  19,  39,  96,  11,  35,  94,  11,  36,  94,  17,  37,  94,  18,  35,  91,  20,  33,  87,  23,  33,  83,  20,  31,  79,
    13,  28,  76,   7,  26,  75,   8,  29,  79,   6,  27,  82,   6,  28,  84,  11,  31,  87,  20,  37,  91,  26,  38,  90,  28,  37,  89,  27,  35,  85,  28,  36,  83,  29,  34,  82,  25,  32,  79,  26,  31,  77,  27,  31,  76,  26,  31,  76,  24,  29,  73,  21,  26,  71,  11,  21,  68,   5,  19,  67,   2,  17,  63,
     2,  16,  62,   3,  18,  61,  10,  21,  61,  24,  25,  62,  37,  25,  64,  44,  23,  70,  48,  20,  69,  48,  20,  68,  45,  21,  66,  40,  21,  62,  31,  21,  57,  22,  19,  53,  15,  17,  50,   8,  12,  45,   3,   7,  36,   2,   2,  27,   1,   2,  14,   5,   2,   8,  12,   2,   4,  21,   1,   4,  34,   1,   3,
   114,  27,   2, 115,  29,   2, 115,  30,   2, 116,  32,   2, 117,  32,   2, 118,  32,   2, 119,  33,   2, 120,  35,   1, 123,  35,   2, 123,  35,   1, 125,  36,   2, 125,  36,   2, 126,  38,   2, 127,  37,   2, 127,  38,   2, 130,  40,   3, 130,  39,   3, 132,  42,   3, 132,  41,   2, 137,  42,   2, 138,  43,   2,
   139,  45,   2, 140,  47,   2, 141,  46,   2, 142,  46,   2, 145,  48,   3, 147,  49,   4, 148,  50,   5, 150,  50,   3, 150,  50,   3, 152,  51,   3, 156,  56,   4, 156,  55,   4, 157,  57,   4, 157,  56,   5, 158,  56,   4, 159,  57,   5, 161,  57,   4, 162,  58,   4, 163,  61,   5, 165,  62,   5, 163,  62,   2,
   164,  62,   5, 166,  62,   5, 166,  62,   7, 165,  62,   9, 168,  65,  16, 167,  66,  17, 166,  65,  18, 167,  66,  23, 168,  69,  34, 169,  70,  38, 168,  69,  43, 170,  72,  52, 171,  76,  59, 171,  78,  63, 172,  79,  74, 174,  81,  82, 173,  84,  94, 170,  86, 103, 170,  88, 108, 170,  92, 119, 160,  88, 143,
   131,  98, 174, 122, 170, 235, 194, 252, 255, 251, 254, 253, 253, 253, 253, 253, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 252, 254, 254, 227, 252, 254, 155, 209, 245, 183, 118, 191, 198, 118, 149, 201, 113, 134, 194, 104, 123, 188,  98, 112, 190,  95, 103, 189,  94,  94,
   190,  92,  88, 192,  91,  80, 192,  90,  75, 192,  90,  69, 192,  89,  65, 193,  88,  60, 193,  88,  57, 194,  87,  53, 194,  88,  51, 194,  86,  47, 195,  87,  45, 195,  85,  39, 196,  86,  36, 195,  87,  32, 195,  86,  29, 195,  88,  31, 197,  87,  27, 195,  84,  23, 195,  85,  22, 197,  87,  26, 197,  85,  23,
   197,  85,  19, 198,  85,  19, 198,  87,  19, 199,  86,  17, 195,  83,  10, 195,  83,   9, 198,  85,  14, 196,  85,  14, 196,  86,  21, 190,  81,  26, 179,  73,  23, 162,  62,  26, 135,  49,  26, 107,  37,  24,  91,  26,  18,  88,  25,  16,  99,  31,  16, 123,  41,  16, 152,  56,  14, 174,  68,  12, 192,  78,  12,
   202,  88,  14, 208,  88,  16, 209,  90,  15, 208,  90,  23, 205,  88,  36, 199,  84,  44, 185,  92,  81,  79, 128, 203,  30, 115, 194,  33, 118, 196,  43, 132, 209,  16,  94, 169,  10,  81, 153,  23, 112, 187,  25,  89, 155,  19,  43, 106,  33,  49, 111,  59,  63, 119,  57,  62, 117,  50,  58, 115,  42,  55, 116,
    39,  54, 117,  36,  52, 116,  44,  57, 119,  52,  60, 121,  61,  64, 123,  66,  68, 124,  67,  68, 126,  70,  72, 130,  65,  69, 129,  59,  73, 134,  45,  97, 165,  21,  65, 127,  15,  56, 122,  17,  94, 167,  15, 108, 188,  16, 108, 188,  12, 101, 182,  18, 104, 186,  10,  82, 164,   5,  75, 158,   4,  70, 150,
     6,  66, 146,   4,  46, 125,   6,  67, 146,  14,  99, 184,  20,  61, 132,  28,  52, 118,  28,  55, 120,  27,  53, 119,  26,  52, 118,  27,  52, 115,  30,  49, 112,  37,  50, 109,  44,  49, 104,  41,  44,  95,  36,  40,  88,  30,  35,  81,  19,  27,  74,   9,  22,  70,   3,  14,  64,   3,  11,  63,   3,  13,  66,
     2,  12,  65,   3,  18,  70,   4,  22,  75,  12,  30,  82,  22,  36,  88,  28,  39,  92,  31,  41,  95,  31,  44,  98,  26,  43,  99,  23,  42,  98,  19,  42,  98,  17,  40,  97,  19,  38,  95,  22,  37,  92,  22,  36,  87,  24,  35,  85,  23,  31,  81,  13,  27,  77,   8,  26,  77,   6,  28,  81,   4,  30,  85,
     3,  32,  88,   8,  35,  92,  17,  38,  97,  21,  40,  97,  19,  37,  93,  20,  36,  90,  23,  36,  89,  21,  34,  86,  19,  33,  83,  19,  32,  81,  23,  32,  81,  23,  31,  80,  24,  32,  81,  17,  28,  76,  11,  25,  75,   4,  22,  72,   4,  22,  71,   3,  20,  68,   3,  20,  67,  10,  24,  67,  21,  27,  67,
    34,  28,  68,  43,  28,  72,  47,  25,  73,  48,  24,  73,  44,  24,  70,  36,  24,  65,  28,  21,  60,  20,  19,  55,  15,  19,  53,   7,  12,  45,   4,   6,  37,   2,   2,  23,   2,   2,  12,   8,   2,   8,  18,   2,   4,  34,   2,   4,  52,   3,   3, 113,  29,   2, 114,  31,   1, 114,  31,   2, 115,  32,   1,
   117,  32,   3, 116,  33,   2, 118,  34,   2, 121,  36,   2, 122,  36,   3, 124,  37,   2, 123,  36,   2, 125,  37,   3, 127,  39,   3, 128,  39,   3, 128,  38,   3, 129,  39,   4, 130,  40,   2, 131,  41,   2, 135,  42,   3, 135,  42,   2, 137,  43,   2, 137,  42,   2, 140,  45,   3, 141,  45,   2, 142,  47,   4,
   144,  48,   3, 147,  50,   3, 148,  50,   4, 149,  51,   3, 151,  52,   4, 153,  53,   5, 154,  56,   4, 156,  55,   4, 157,  56,   5, 159,  57,   5, 159,  58,   5, 158,  58,   4, 161,  60,   4, 161,  61,   3, 162,  60,   3, 163,  62,   3, 164,  62,   4, 165,  64,   7, 164,  63,   7, 166,  63,  10, 166,  64,  13,
   167,  65,  14, 167,  67,  20, 167,  66,  20, 167,  68,  29, 167,  70,  34, 167,  71,  41, 169,  71,  48, 169,  74,  54, 171,  76,  59, 171,  77,  65, 172,  80,  75, 173,  80,  85, 173,  85,  95, 170,  87, 104, 172,  91, 111, 168,  92, 123, 157,  88, 150, 130, 101, 181, 131, 183, 238, 222, 255, 253, 254, 254, 254,
   254, 254, 254, 254, 254, 254, 253, 253, 253, 253, 253, 253, 254, 254, 254, 253, 254, 254, 254, 254, 254, 254, 254, 254, 237, 253, 254, 167, 218, 247, 183, 123, 199, 201, 120, 157, 202, 114, 135, 194, 105, 124, 189,  99, 113, 189,  97, 106, 188,  93,  96, 191,  94,  90, 192,  92,  83, 194,  91,  77, 192,  91,  72,
   191,  89,  67, 192,  88,  63, 193,  89,  62, 196,  90,  57, 195,  88,  53, 194,  87,  48, 195,  88,  48, 195,  87,  44, 196,  88,  41, 196,  89,  37, 195,  86,  31, 197,  88,  32, 196,  88,  26, 196,  87,  27, 196,  86,  23, 196,  87,  27, 198,  86,  24, 198,  85,  21, 197,  86,  22, 197,  86,  18, 195,  85,  15,
   198,  88,  21, 198,  87,  16, 198,  87,  18, 196,  84,  14, 195,  83,  16, 191,  81,  27, 180,  73,  22, 164,  63,  23, 141,  53,  27, 110,  37,  23,  90,  26,  18,  87,  25,  15,  96,  30,  15, 119,  39,  17, 148,  53,  14, 173,  68,  14, 190,  76,  10, 202,  87,  16, 208,  90,  18, 209,  89,  15, 208,  89,  20,
   207,  90,  36, 203,  86,  45, 190,  84,  59, 119, 121, 171,  71, 161, 238,  51, 131, 214,  40, 128, 209,  30, 109, 188,  17,  90, 166,  17, 101, 179,  27, 117, 186,   8,  46, 111,   8,  42, 112,  31,  56, 121,  41,  58, 122,  43,  59, 121,  39,  57, 121,  34,  56, 121,  33,  55, 121,  37,  57, 122,  47,  64, 127,
    51,  65, 127,  53,  65, 129,  55,  66, 130,  57,  69, 134,  58,  74, 140,  57, 100, 169,  26,  72, 136,  18,  61, 121,  15,  52, 115,   9,  61, 128,  13,  98, 177,   9,  87, 167,  10,  88, 168,   7,  62, 144,   5,  73, 155,   9,  73, 153,   7,  64, 143,   4,  56, 136,   3,  47, 127,   4,  64, 145,  11, 101, 189,
    23,  78, 150,  32,  54, 121,  34,  57, 122,  31,  54, 121,  31,  55, 122,  31,  53, 117,  33,  51, 115,  39,  52, 110,  45,  51, 105,  44,  47,  95,  41,  42,  88,  33,  36,  81,  24,  29,  74,  11,  21,  69,   3,  13,  64,   4,  11,  64,   3,   9,  63,   3,  11,  66,   3,  17,  71,   5,  25,  79,  13,  31,  86,
    22,  36,  91,  30,  42,  97,  32,  45, 100,  30,  46, 101,  27,  45, 102,  24,  45, 102,  18,  41, 101,  17,  40,  99,  20,  40,  97,  23,  40,  95,  23,  36,  89,  25,  35,  87,  21,  33,  83,  11,  27,  79,   7,  27,  80,   5,  30,  84,   4,  32,  88,   3,  31,  92,   5,  35,  97,  11,  40, 101,  16,  41, 102,
    16,  40,  99,  17,  39,  96,  17,  37,  93,  16,  35,  90,  16,  35,  90,  16,  34,  88,  18,  33,  87,  19,  32,  85,  22,  33,  86,  19,  32,  84,  11,  27,  80,   6,  25,  78,   2,  21,  74,   2,  19,  73,   2,  21,  72,   5,  25,  73,  17,  28,  75,  32,  33,  76,  38,  32,  74,  44,  29,  76,  43,  27,  74,
    41,  27,  71,  35,  28,  68,  26,  24,  62,  18,  22,  58,  13,  19,  56,   6,  11,  46,   2,   5,  33,   2,   3,  21,   6,   3,  12,  16,   2,   7,  30,   2,   5,  49,   2,   4,  67,   5,   2, 113,  28,   2, 115,  30,   4, 115,  31,   3, 116,  33,   3, 116,  32,   2, 117,  33,   2, 119,  34,   2, 121,  35,   3,
   120,  33,   2, 124,  36,   2, 123,  36,   2, 124,  37,   2, 125,  37,   3, 127,  38,   3, 129,  40,   3, 129,  40,   3, 130,  40,   3, 131,  41,   2, 135,  43,   3, 136,  44,   3, 136,  44,   3, 138,  45,   2, 140,  44,   2, 140,  45,   3, 141,  47,   3, 143,  48,   4, 146,  49,   5, 147,  50,   4, 149,  51,   5,
   150,  52,   4, 153,  54,   4, 153,  54,   3, 155,  56,   4, 158,  57,   5, 157,  56,   5, 159,  58,   5, 160,  60,   5, 161,  59,   4, 162,  61,   4, 162,  61,   3, 164,  62,   5, 164,  63,   6, 165,  63,   8, 166,  64,   8, 165,  65,  10, 165,  65,  12, 167,  67,  17, 166,  67,  20, 165,  65,  20, 167,  69,  31,
   167,  69,  33, 167,  70,  39, 167,  71,  47, 170,  74,  55, 170,  77,  60, 170,  78,  66, 172,  80,  75, 174,  82,  86, 173,  86,  98, 172,  87, 106, 172,  91, 112, 169,  93, 122, 158,  91, 155, 130, 103, 186, 131, 173, 234, 231, 255, 254, 255, 254, 254, 254, 254, 254, 253, 253, 253, 254, 254, 254, 253, 253, 253,
   254, 254, 254, 253, 254, 254, 254, 254, 254, 253, 254, 254, 238, 253, 254, 174, 214, 243, 187, 124, 203, 204, 124, 164, 203, 115, 137, 195, 106, 126, 189, 100, 117, 190,  98, 108, 192,  97, 101, 191,  94,  92, 192,  93,  86, 192,  93,  79, 194,  92,  76, 192,  91,  70, 193,  91,  68, 194,  90,  64, 194,  89,  59,
   194,  88,  54, 196,  90,  52, 195,  88,  49, 195,  87,  46, 196,  89,  46, 196,  87,  40, 198,  90,  38, 196,  87,  34, 197,  87,  32, 197,  88,  33, 197,  86,  29, 198,  88,  32, 197,  87,  25, 198,  87,  22, 197,  87,  21, 197,  86,  19, 196,  84,  16, 199,  86,  23, 198,  86,  18, 196,  85,  15, 197,  86,  22,
   198,  86,  25, 193,  82,  29, 183,  74,  22, 168,  66,  25, 146,  56,  28, 116,  42,  26,  92,  30,  19,  88,  25,  16,  93,  30,  14, 116,  39,  18, 144,  52,  15, 170,  66,  12, 191,  78,  16, 201,  86,  20, 209,  90,  20, 211,  91,  17, 211,  91,  23, 208,  90,  31, 204,  88,  43, 193,  87,  56, 122, 114, 160,
    45, 129, 212,  60, 151, 230,  17, 102, 180,  11,  80, 153,   7,  68, 141,  17, 103, 177,  38, 150, 210,   3,  29,  97,   9,  51, 118,  22,  57, 124,  26,  59, 125,  35,  59, 125,  39,  60, 126,  33,  59, 124,  32,  58, 123,  35,  59, 123,  44,  63, 127,  50,  68, 130,  53,  70, 134,  53,  70, 136,  54,  78, 146,
    62, 111, 180,  38,  82, 148,   4,  24,  75,   8,  34,  92,   8,  61, 126,   8,  76, 147,   5,  65, 141,  10,  98, 177,  15,  98, 179,  14,  92, 172,   9,  76, 157,   6,  60, 142,   6,  42, 124,   6,  49, 130,   5,  52, 132,   4,  68, 152,  10,  94, 179,  26,  90, 162,  33,  55, 121,  32,  55, 122,  33,  57, 123,
    31,  56, 121,  31,  54, 118,  36,  53, 116,  39,  52, 109,  45,  51, 104,  45,  48,  96,  43,  43,  90,  35,  37,  82,  25,  31,  77,  12,  24,  71,   2,  16,  67,   4,  10,  65,   2,   9,  65,   3,  12,  69,   3,  17,  73,   4,  24,  80,   6,  30,  86,  15,  35,  92,  24,  41,  97,  29,  44, 101,  29,  47, 104,
    29,  47, 106,  25,  47, 106,  21,  46, 104,  19,  43, 103,  19,  41, 100,  23,  41,  97,  24,  40,  94,  22,  36,  88,  19,  33,  85,  10,  29,  80,   6,  29,  82,   4,  29,  85,   3,  30,  89,   3,  33,  95,   5,  36, 100,  11,  41, 106,  15,  43, 105,  19,  44, 104,  15,  42, 101,  14,  39,  98,  14,  38,  96,
    14,  38,  94,  14,  36,  93,  15,  34,  90,  18,  36,  90,  20,  36,  91,  18,  35,  88,  12,  32,  86,   6,  29,  83,   3,  25,  81,   2,  20,  77,   2,  22,  77,   4,  25,  79,  12,  29,  80,  25,  33,  79,  33,  34,  77,  39,  33,  76,  40,  32,  76,  37,  29,  72,  32,  28,  69,  24,  25,  65,  15,  20,  59,
     7,  17,  55,   4,   7,  45,   3,   4,  34,   5,   3,  21,  16,   2,  15,  29,   2,   7,  47,   2,   4,  67,   5,   3,  82,   7,   2, 113,  29,   3, 113,  31,   2, 115,  31,   3, 115,  32,   3, 116,  33,   2, 117,  32,   3, 118,  33,   2, 119,  35,   3, 120,  35,   3, 120,  34,   4, 124,  38,   3, 126,  38,   3,
   125,  38,   3, 127,  38,   3, 128,  38,   3, 128,  39,   2, 128,  40,   2, 131,  41,   2, 133,  44,   2, 134,  43,   3, 136,  44,   2, 138,  44,   2, 139,  44,   2, 140,  46,   2, 140,  46,   3, 142,  48,   3, 144,  50,   5, 146,  51,   6, 148,  52,   4, 150,  53,   5, 152,  54,   4, 154,  55,   4, 155,  56,   5,
   156,  55,   4, 159,  58,   5, 158,  58,   5, 158,  58,   4, 161,  61,   5, 162,  62,   4, 162,  62,   4, 164,  63,   7, 163,  62,   6, 163,  61,   7, 165,  64,  11, 165,  64,  11, 167,  66,  12, 165,  65,  13, 165,  66,  18, 167,  68,  24, 165,  67,  30, 168,  69,  36, 169,  71,  42, 169,  72,  48, 169,  75,  54,
   172,  77,  61, 171,  77,  65, 173,  81,  76, 172,  82,  85, 173,  86,  97, 170,  87, 105, 173,  93, 113, 170,  95, 124, 158,  90, 155, 135,  98, 181, 125, 150, 224, 222, 255, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 253, 253, 253, 254, 254, 254, 254, 254, 254, 252, 254, 254,
   232, 251, 253, 172, 199, 242, 194, 130, 207, 207, 127, 165, 205, 116, 138, 196, 108, 127, 192, 103, 121, 190, 100, 111, 192,  97, 104, 192,  97,  96, 193,  95,  88, 193,  94,  83, 194,  95,  82, 193,  94,  75, 192,  91,  69, 192,  90,  65, 195,  91,  63, 196,  90,  57, 196,  89,  52, 196,  90,  51, 195,  88,  46,
   196,  89,  43, 195,  88,  42, 196,  87,  39, 196,  89,  36, 197,  90,  38, 198,  89,  35, 195,  86,  29, 196,  87,  30, 197,  86,  27, 196,  88,  28, 197,  88,  22, 198,  88,  24, 197,  86,  21, 196,  86,  22, 198,  85,  18, 197,  87,  23, 198,  86,  19, 196,  85,  22, 194,  84,  29, 186,  78,  27, 170,  68,  25,
   148,  57,  26, 121,  44,  25,  93,  30,  18,  86,  25,  14,  90,  26,  12, 112,  37,  16, 141,  51,  18, 166,  63,  16, 187,  75,  16, 202,  86,  23, 209,  91,  23, 211,  90,  18, 212,  92,  24, 212,  92,  31, 207,  90,  39, 199,  88,  56, 112, 103, 143,  27, 106, 185,  60, 149, 235,  41, 125, 211,  16,  86, 161,
     8,  70, 140,  40, 158, 230,  26, 119, 191,   4,  40, 107,   5,  42, 108,   8,  47, 113,  25,  65, 131,  29,  60, 125,  28,  57, 122,  22,  52, 116,  26,  56, 118,  26,  55, 117,  34,  59, 123,  39,  62, 125,  39,  63, 129,  39,  66, 134,  42,  90, 163,  37,  96, 162,   7,  40,  96,   9,  33,  86,  12,  43, 102,
    15,  67, 131,   9,  67, 138,  10, 102, 178,  24, 131, 218,  21, 127, 213,  24, 114, 200,  13,  96, 182,   6,  60, 140,   8,  64, 144,   4,  56, 137,   3,  57, 139,   4,  81, 167,  10,  91, 177,  28,  87, 161,  34,  56, 122,  34,  57, 123,  29,  54, 121,  32,  55, 121,  33,  54, 118,  36,  52, 114,  45,  55, 112,
    46,  51, 105,  46,  50,  99,  44,  46,  94,  37,  41,  88,  28,  34,  82,  15,  27,  76,   3,  18,  72,   3,  13,  69,   3,  11,  70,   3,  13,  72,   3,  18,  77,   3,  23,  82,   3,  30,  89,   7,  34,  93,  19,  40, 100,  25,  45, 103,  30,  48, 107,  30,  50, 109,  26,  49, 109,  22,  46, 107,  22,  46, 105,
    23,  44, 104,  24,  44, 100,  25,  42,  96,  23,  38,  92,  14,  32,  84,   9,  30,  83,   5,  26,  82,   3,  27,  85,   4,  33,  94,   6,  36, 100,  13,  42, 105,  19,  46, 110,  18,  46, 108,  16,  43, 106,  15,  42, 104,  12,  39, 101,  10,  39, 100,   9,  37,  97,  12,  37,  95,  16,  36,  94,  17,  35,  92,
    20,  37,  94,  21,  38,  94,  12,  33,  89,   7,  30,  87,   3,  27,  85,   2,  25,  84,   2,  23,  81,   3,  26,  82,   6,  29,  82,  18,  33,  83,  29,  35,  82,  32,  33,  77,  35,  34,  75,  31,  30,  72,  25,  26,  68,  18,  22,  65,  10,  19,  62,   5,  14,  55,   4,   8,  43,   4,   4,  31,  14,   4,  24,
    30,   3,  17,  47,   4,   8,  64,   5,   3,  80,   7,   2,  91,  11,   2, 112,  28,   2, 115,  30,   2, 114,  29,   2, 115,  31,   3, 116,  32,   2, 116,  34,   3, 116,  34,   2, 119,  35,   4, 120,  35,   3, 121,  36,   3, 121,  35,   3, 127,  39,   4, 125,  39,   4, 126,  37,   3, 128,  39,   3, 129,  41,   4,
   129,  40,   3, 130,  41,   2, 132,  43,   2, 136,  45,   3, 136,  44,   2, 138,  44,   2, 140,  47,   3, 141,  48,   3, 142,  49,   3, 143,  50,   5, 143,  50,   4, 146,  51,   5, 149,  53,   5, 150,  52,   5, 152,  55,   6, 154,  56,   3, 156,  57,   6, 156,  57,   4, 158,  58,   4, 160,  59,   5, 160,  59,   5,
   161,  61,   5, 161,  59,   5, 162,  61,   6, 164,  62,   7, 165,  63,   9, 165,  65,  11, 165,  64,  14, 163,  63,   8, 166,  66,  14, 165,  66,  17, 166,  68,  21, 165,  66,  24, 165,  68,  28, 166,  69,  35, 168,  71,  44, 168,  73,  51, 169,  74,  56, 172,  78,  63, 171,  78,  66, 171,  80,  74, 171,  82,  84,
   172,  84,  95, 171,  87, 105, 173,  92, 111, 171,  93, 120, 162,  92, 152, 141,  94, 176, 121, 129, 212, 190, 239, 252, 250, 254, 252, 253, 254, 254, 253, 253, 253, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 249, 254, 254, 215, 249, 252, 176, 185, 239, 200, 136, 210, 208, 129, 167,
   202, 116, 138, 195, 109, 129, 192, 103, 122, 191, 100, 114, 190,  99, 107, 192,  99, 101, 194, 104, 107, 197, 112, 119, 196, 114, 123, 198, 111, 116, 196, 100,  89, 193,  92,  68, 194,  90,  63, 195,  92,  61, 198,  93,  59, 197,  91,  55, 196,  91,  49, 196,  90,  49, 195,  89,  46, 196,  88,  41, 197,  89,  39,
   197,  89,  36, 196,  87,  34, 197,  88,  34, 198,  88,  36, 197,  88,  30, 197,  87,  28, 197,  86,  21, 199,  89,  29, 198,  86,  23, 198,  86,  22, 197,  86,  22, 199,  89,  27, 197,  86,  25, 198,  87,  26, 196,  86,  33, 188,  80,  28, 170,  69,  24, 151,  59,  25, 124,  45,  24,  98,  33,  21,  85,  23,  13,
    89,  26,  13, 106,  35,  16, 136,  48,  18, 163,  62,  17, 185,  74,  18, 198,  82,  19, 207,  89,  21, 210,  90,  17, 213,  92,  23, 213,  93,  29, 211,  94,  39, 203,  95,  61, 129, 114, 160,   8,  89, 170,  37, 123, 209,  36, 119, 206,   9,  77, 146,  13,  80, 153,  25, 121, 208,   8,  63, 132,   8,  40, 102,
     4,  34,  95,   4,  30,  89,   6,  37,  95,   6,  35,  93,   8,  36,  96,   7,  43, 104,   7,  37,  96,  11,  41, 100,  14,  44, 103,  12,  44, 102,   6,  40, 101,  17,  64, 132,  42, 118, 191,  10,  50, 111,   6,  28,  79,   5,  34,  87,   8,  28,  85,   5,  52, 121,   7,  70, 145,  10,  97, 175,  23, 130, 215,
    27, 132, 218,  32, 143, 228,  26, 130, 215,  22, 113, 193,   6,  58, 141,   3,  49, 134,   3,  54, 138,   4,  82, 170,  12, 101, 187,  27,  76, 150,  37,  57, 123,  37,  56, 122,  41,  59, 125,  40,  58, 120,  41,  55, 118,  46,  55, 114,  49,  55, 110,  51,  52, 106,  50,  50,  99,  50,  48,  96,  41,  42,  90,
    31,  37,  86,  19,  30,  83,   5,  23,  79,   3,  17,  75,   2,  14,  75,   3,  14,  77,   3,  18,  80,   3,  22,  85,   2,  27,  89,   5,  34,  96,  11,  38,  99,  22,  43, 105,  30,  49, 109,  32,  49, 111,  31,  49, 111,  30,  50, 111,  29,  47, 108,  29,  47, 106,  26,  46, 102,  26,  43,  98,  23,  39,  93,
    17,  34,  87,   9,  30,  83,   5,  27,  83,   4,  29,  87,   4,  33,  93,   9,  37, 100,  18,  45, 107,  24,  49, 114,  23,  48, 112,  24,  48, 111,  18,  44, 107,  15,  42, 104,  11,  39, 100,  10,  37,  99,  12,  36,  97,  19,  39,  98,  18,  39,  96,  19,  37,  94,  19,  36,  93,  11,  33,  88,   7,  31,  87,
     2,  29,  86,   3,  28,  86,   3,  27,  87,   2,  26,  86,   3,  29,  86,  12,  34,  87,  21,  35,  84,  27,  32,  80,  30,  31,  77,  26,  30,  74,  19,  23,  69,  12,  21,  65,   7,  18,  60,   4,  12,  52,   6,   8,  41,   9,   6,  31,  26,   5,  25,  44,   6,  16,  62,   7,   8,  76,   8,   2,  89,  11,   3,
   100,  17,   2, 113,  30,   3, 115,  32,   1, 115,  32,   1, 115,  31,   2, 116,  32,   2, 116,  33,   2, 118,  34,   3, 119,  34,   3, 120,  36,   4, 120,  38,   4, 124,  39,   4, 125,  38,   3, 125,  39,   4, 128,  40,   4, 129,  40,   3, 129,  39,   3, 130,  42,   2, 130,  42,   2, 133,  44,   2, 135,  43,   3,
   136,  46,   2, 138,  45,   2, 140,  49,   4, 140,  49,   4, 141,  50,   4, 143,  51,   4, 144,  50,   5, 144,  50,   5, 147,  53,   5, 150,  54,   6, 152,  55,   7, 152,  55,   4, 153,  56,   4, 157,  58,   5, 159,  58,   5, 159,  60,   6, 160,  60,   6, 160,  59,   7, 161,  60,   7, 163,  63,   9, 163,  62,   8,
   165,  65,  11, 164,  64,  12, 165,  65,  13, 166,  64,  14, 166,  65,  15, 167,  68,  21, 165,  68,  24, 165,  68,  28, 165,  68,  30, 167,  69,  36, 168,  71,  45, 170,  74,  52, 169,  74,  56, 171,  77,  63, 171,  78,  67, 172,  81,  77, 172,  83,  85, 173,  87,  97, 171,  88, 105, 173,  92, 110, 174,  97, 121,
   165,  95, 144, 148,  95, 173, 132, 117, 199, 148, 202, 244, 228, 254, 253, 251, 254, 253, 253, 254, 254, 254, 254, 254, 254, 254, 254, 253, 254, 254, 253, 254, 254, 249, 254, 254, 225, 252, 253, 180, 232, 251, 182, 158, 230, 206, 140, 210, 210, 132, 170, 203, 119, 141, 197, 112, 131, 193, 106, 125, 190, 100, 116,
   194, 102, 114, 200, 119, 136, 205, 136, 159, 203, 133, 156, 204, 133, 154, 203, 133, 157, 201, 126, 144, 196, 103,  90, 194,  95,  67, 194,  92,  63, 197,  93,  59, 195,  91,  54, 196,  91,  52, 196,  91,  49, 195,  90,  47, 195,  88,  43, 198,  91,  45, 197,  90,  41, 199,  90,  43, 197,  88,  36, 197,  87,  34,
   198,  87,  36, 198,  89,  32, 198,  90,  32, 198,  89,  27, 199,  88,  26, 198,  87,  22, 200,  88,  24, 198,  87,  24, 198,  86,  22, 200,  87,  26, 195,  86,  30, 188,  77,  24, 174,  71,  26, 156,  61,  28, 130,  47,  25, 101,  35,  23,  87,  26,  16,  90,  27,  17, 102,  34,  17, 132,  45,  18, 159,  60,  20,
   180,  72,  20, 198,  81,  22, 209,  91,  25, 210,  92,  20, 214,  93,  20, 214,  94,  27, 214,  96,  42, 207, 113, 103, 141, 122, 168,  19, 105, 189,  32, 117, 204,  25, 105, 184,  12,  77, 148,   6,  64, 131,  11,  66, 130,   8,  56, 123,  11,  45, 102,   9,  26,  72,   6,  12,  52,   5,  11,  52,  10,  28,  79,
    24,  74, 137,  31,  86, 152,  31,  72, 136,  10,  34,  91,   7,  37,  94,   6,  38,  94,  10,  53, 113,  28, 105, 174,   8,  51, 113,   6,  33,  91,   5,  21,  74,   4,  17,  67,   8,  24,  80,  15,  73, 145,  16,  95, 172,  20, 110, 191,  13, 112, 193,  21, 131, 220,  20, 114, 202,  13,  99, 186,   5,  75, 160,
     4,  74, 159,   4,  61, 146,   4,  58, 143,   5,  88, 178,  16, 128, 218,  31,  75, 147,  45,  59, 121,  47,  59, 120,  50,  58, 119,  50,  57, 116,  52,  56, 115,  59,  58, 114,  63,  57, 111,  63,  53, 107,  63,  52, 106,  59,  51, 103,  52,  48,  96,  39,  43,  91,  27,  35,  88,  10,  28,  84,   3,  24,  82,
     3,  19,  81,   3,  15,  81,   2,  19,  84,   3,  22,  88,   2,  28,  91,   4,  34,  98,  13,  41, 103,  23,  46, 106,  33,  50, 110,  37,  53, 111,  39,  53, 112,  38,  52, 111,  39,  53, 112,  37,  51, 109,  34,  49, 106,  32,  47, 102,  28,  42,  96,  19,  35,  90,  12,  31,  86,   6,  28,  84,   4,  30,  87,
     7,  35,  93,  12,  39, 101,  23,  46, 109,  29,  50, 114,  31,  50, 115,  26,  47, 112,  22,  45, 109,  18,  42, 105,  14,  40, 104,  13,  39, 101,  16,  40,  99,  20,  41,  98,  21,  39,  97,  22,  40,  97,  16,  36,  93,  15,  37,  93,   7,  33,  89,   4,  30,  87,   3,  29,  88,   2,  28,  87,   2,  30,  88,
     3,  31,  88,   7,  33,  89,  14,  34,  85,  21,  33,  81,  25,  31,  77,  21,  28,  73,  14,  23,  69,   7,  18,  63,   5,  14,  58,   5,  11,  48,   9,   9,  39,  23,   7,  31,  42,   7,  22,  56,   6,  12,  75,   9,   4,  89,  14,   2, 100,  16,   3, 109,  22,   3, 114,  29,   3, 114,  31,   2, 115,  32,   2,
   116,  33,   2, 116,  33,   2, 116,  33,   3, 117,  34,   3, 118,  35,   4, 119,  36,   4, 120,  38,   5, 121,  39,   4, 124,  40,   5, 123,  39,   4, 126,  41,   5, 129,  41,   4, 129,  41,   5, 130,  41,   4, 130,  42,   2, 132,  44,   2, 133,  44,   2, 135,  45,   3, 136,  46,   3, 137,  47,   3, 139,  49,   4,
   141,  50,   5, 142,  49,   5, 144,  52,   7, 145,  52,   6, 146,  52,   6, 150,  56,   8, 152,  55,   6, 151,  55,   5, 155,  57,   5, 156,  56,   4, 159,  59,   7, 158,  58,   6, 160,  59,   6, 161,  61,   8, 161,  60,   8, 164,  62,  10, 163,  62,   8, 163,  62,   8, 164,  64,  10, 165,  64,  13, 164,  65,  15,
   165,  65,  19, 164,  64,  19, 164,  66,  25, 165,  68,  28, 166,  69,  30, 166,  69,  36, 167,  71,  45, 167,  72,  51, 169,  75,  58, 170,  76,  63, 170,  78,  68, 172,  80,  75, 172,  82,  83, 171,  85,  93, 172,  88, 104, 175,  94, 111, 174,  96, 118, 174, 100, 143, 161,  98, 171, 146, 104, 192, 136, 152, 222,
   180, 243, 253, 232, 254, 253, 249, 253, 254, 253, 254, 254, 252, 254, 253, 250, 254, 254, 242, 254, 253, 209, 251, 253, 163, 233, 249, 159, 180, 235, 194, 137, 213, 210, 136, 192, 208, 131, 161, 203, 121, 143, 197, 113, 133, 196, 110, 130, 194, 109, 125, 200, 119, 138, 209, 143, 175, 208, 144, 171, 209, 144, 174,
   210, 143, 173, 208, 142, 171, 207, 141, 168, 201, 127, 142, 196,  96,  73, 195,  94,  66, 194,  92,  59, 196,  93,  57, 197,  93,  54, 198,  93,  52, 198,  92,  51, 196,  90,  47, 197,  91,  45, 198,  91,  42, 197,  89,  39, 197,  88,  39, 197,  89,  35, 197,  88,  32, 198,  88,  29, 197,  89,  27, 197,  87,  23,
   199,  90,  30, 200,  91,  29, 201,  89,  27, 199,  88,  24, 199,  86,  20, 198,  86,  24, 197,  86,  29, 190,  83,  31, 177,  73,  25, 159,  63,  28, 138,  53,  29, 103,  35,  24,  84,  25,  16,  85,  23,  14,  97,  31,  19, 126,  44,  22, 153,  58,  20, 179,  71,  23, 198,  83,  26, 206,  89,  26, 212,  93,  28,
   213,  92,  22, 215,  93,  27, 214,  97,  40, 204, 113, 111, 179, 139, 188,  57, 126, 207,  56, 136, 221,  25, 100, 178,  11,  75, 141,   8,  51, 114,   7,  29,  82,  11,  34,  86,   9,  19,  69,   9,  18,  57,   8,  15,  56,  12,  30,  78,  21,  57, 115,  26,  74, 134,  16,  45, 101,   5,  35,  91,  11,  47, 104,
     6,  30,  84,   4,  22,  78,   6,  49, 108,   7,  57, 118,   8,  37,  95,   6,  24,  80,   7,  22,  79,   6,  19,  76,   3,  43, 108,   8,  64, 138,   7,  83, 164,  20, 133, 223,  39, 157, 240,  26, 130, 215,  17, 107, 192,  12,  90, 175,   6,  78, 163,   5,  73, 159,   6,  71, 158,   4,  68, 157,   5,  90, 184,
    13, 133, 220,  36,  50, 112,  59,  64, 120,  61,  64, 118,  66,  61, 117,  66,  58, 115,  68,  58, 115,  73,  58, 115,  78,  54, 115,  78,  51, 113,  79,  52, 112,  76,  54, 111,  62,  51, 104,  47,  47,  97,  34,  41,  94,  16,  33,  90,   5,  30,  89,   3,  26,  89,   2,  18,  84,   4,  22,  87,   3,  25,  89,
     3,  29,  92,   5,  37, 100,  13,  41, 101,  28,  47, 106,  36,  50, 109,  41,  54, 112,  46,  56, 114,  49,  57, 115,  48,  57, 115,  47,  56, 113,  43,  54, 110,  38,  51, 105,  31,  45,  99,  26,  43,  96,  16,  34,  88,  12,  33,  88,   9,  33,  90,   9,  35,  93,  16,  41, 101,  27,  49, 110,  31,  52, 115,
    34,  51, 116,  28,  47, 112,  25,  47, 109,  20,  43, 105,  17,  41, 104,  16,  39, 102,  23,  42, 102,  22,  41, 100,  25,  43,  99,  28,  43, 100,  22,  39,  97,  16,  36,  92,  10,  36,  93,   2,  33,  90,   3,  34,  92,   4,  32,  90,   3,  31,  90,   3,  31,  89,   4,  33,  89,  11,  33,  86,  18,  32,  81,
    20,  30,  77,  16,  26,  72,  10,  20,  65,   4,  15,  59,   5,  11,  52,   6,  11,  44,  17,   8,  38,  35,   7,  29,  56,  10,  19,  69,   9,   7,  85,  12,   2,  98,  18,   2, 109,  24,   3, 111,  24,   3, 112,  30,   2, 114,  31,   2, 114,  31,   2, 115,  33,   2, 116,  33,   3, 117,  35,   4, 117,  35,   4,
   119,  37,   5, 119,  38,   5, 121,  40,   4, 120,  39,   4, 123,  40,   5, 123,  40,   5, 126,  42,   6, 127,  42,   5, 128,  41,   5, 131,  42,   5, 130,  41,   3, 131,  43,   3, 132,  44,   3, 134,  46,   3, 136,  46,   5, 139,  48,   3, 139,  46,   3, 139,  48,   3, 142,  50,   6, 142,  51,   6, 143,  49,   4,
   146,  54,   8, 148,  55,   8, 150,  55,   7, 152,  57,   9, 153,  56,   8, 154,  56,   6, 156,  58,   7, 157,  57,   7, 159,  59,   9, 161,  61,   9, 162,  61,   9, 161,  60,   7, 163,  62,   8, 163,  62,   8, 162,  62,  10, 165,  66,  15, 165,  64,  16, 164,  65,  18, 165,  66,  20, 164,  66,  24, 165,  69,  30,
   164,  68,  34, 165,  69,  38, 165,  71,  46, 168,  74,  54, 167,  75,  59, 170,  77,  67, 170,  79,  71, 171,  81,  77, 170,  82,  83, 170,  85,  92, 173,  88, 103, 175,  94, 111, 179,  99, 120, 176, 102, 133, 173, 101, 157, 159, 105, 179, 150, 116, 203, 153, 190, 238, 172, 241, 253, 199, 249, 253, 216, 250, 253,
   216, 251, 253, 199, 248, 252, 160, 237, 252, 124, 211, 247, 118, 164, 225, 157, 128, 194, 195, 136, 203, 207, 135, 184, 205, 131, 156, 202, 121, 143, 200, 118, 137, 197, 115, 133, 196, 114, 133, 207, 142, 173, 212, 151, 190, 213, 154, 193, 212, 155, 196, 210, 151, 193, 210, 147, 189, 210, 144, 183, 207, 139, 169,
   197, 105,  94, 196,  96,  69, 195,  94,  64, 197,  95,  61, 198,  94,  57, 197,  91,  51, 200,  94,  53, 199,  93,  51, 197,  90,  45, 197,  90,  42, 198,  90,  42, 197,  89,  39, 199,  90,  39, 199,  88,  35, 199,  91,  37, 196,  87,  30, 199,  91,  32, 197,  88,  28, 197,  87,  23, 199,  89,  25, 199,  88,  27,
   199,  88,  25, 198,  88,  25, 198,  87,  30, 192,  84,  29, 181,  76,  27, 163,  64,  26, 141,  54,  26, 109,  40,  27,  89,  31,  25,  82,  22,  15,  93,  28,  18, 120,  42,  24, 151,  56,  25, 173,  68,  23, 193,  79,  25, 206,  89,  31, 214,  95,  33, 213,  93,  26, 214,  95,  33, 212,  96,  43, 197, 122, 136,
   155, 181, 244,  93, 160, 237,  37, 111, 186,  13,  72, 138,   8,  42, 100,  13,  55, 113,   9,  39,  96,   8,  35,  89,  14,  47, 103,  27,  64, 117,  20,  43,  94,  27,  82, 148,  28,  84, 150,   5,  14,  54,  28,  71, 132,   7,  31,  86,  12,  47, 103,   9,  41,  98,  10,  44, 102,   4,  45, 103,   8,  44, 104,
    10,  67, 130,  12,  62, 128,   9,  52, 117,   7,  37, 100,   6,  52, 122,  10,  80, 158,  15, 105, 190,  16, 119, 208,  24, 131, 223,  26, 134, 221,  26, 116, 204,  17,  86, 169,  15,  91, 176,  10,  88, 175,   3,  72, 159,   2,  69, 159,   6,  98, 188,  15, 102, 177,  42,  62, 125,  71,  68, 120,  78,  65, 120,
    84,  61, 122,  87,  60, 123,  86,  57, 119,  90,  56, 119,  93,  55, 117,  96,  55, 115,  98,  57, 119,  87,  55, 114,  71,  53, 109,  56,  50, 101,  40,  46,  98,  23,  39,  97,   6,  34,  93,   3,  31,  94,   3,  23,  89,   2,  24,  89,   2,  28,  92,   3,  32,  96,   7,  39, 100,  18,  44, 102,  31,  48, 105,
    41,  53, 110,  48,  57, 113,  54,  59, 115,  54,  59, 115,  54,  61, 115,  54,  62, 115,  49,  58, 113,  45,  54, 109,  37,  48, 103,  29,  45,  99,  17,  36,  90,  11,  34,  89,   9,  36,  91,  12,  39,  97,  20,  45, 103,  27,  48, 109,  34,  53, 117,  35,  53, 117,  31,  50, 114,  27,  47, 111,  21,  45, 106,
    19,  43, 104,  16,  41, 100,  19,  41,  99,  22,  41,  99,  23,  41,  98,  26,  42,  98,  23,  42,  97,  15,  37,  94,   9,  36,  93,   3,  33,  91,   2,  31,  91,   1,  31,  90,   3,  31,  91,   3,  33,  90,   4,  35,  90,   8,  33,  85,  11,  29,  81,  12,  27,  76,  10,  23,  70,   6,  19,  64,   4,  15,  57,
     6,  11,  50,  11,  10,  43,  25,   8,  37,  44,   9,  25,  63,  10,  14,  79,  12,   4,  95,  18,   3, 107,  22,   2, 111,  24,   2, 112,  23,   2, 110,  31,   2, 113,  33,   2, 114,  32,   3, 115,  32,   3, 115,  33,   2, 115,  33,   3, 115,  33,   3, 116,  35,   4, 121,  39,   8, 121,  40,   7, 122,  41,   9,
   123,  40,   9, 125,  43,  12, 125,  43,   8, 125,  43,   7, 128,  42,   7, 129,  44,   7, 128,  43,   7, 131,  45,   7, 132,  44,   6, 132,  45,   5, 136,  48,   6, 137,  47,   5, 138,  47,   4, 139,  50,   5, 141,  50,   5, 141,  49,   5, 143,  52,   7, 146,  53,  10, 146,  53,   9, 147,  53,   7, 151,  57,  10,
   152,  56,   9, 153,  56,   8, 157,  59,   9, 157,  59,   9, 159,  61,  12, 162,  62,  11, 161,  62,  11, 162,  62,   9, 163,  63,  10, 164,  63,  11, 165,  65,  13, 163,  64,  14, 165,  67,  20, 164,  65,  21, 164,  66,  25, 163,  67,  28, 164,  69,  30, 166,  70,  38, 164,  70,  42, 164,  70,  49, 166,  75,  59,
   167,  75,  64, 168,  76,  68, 169,  78,  72, 170,  80,  76, 168,  81,  82, 170,  85,  91, 173,  89, 100, 172,  90, 108, 177,  97, 115, 179, 103, 126, 178, 105, 142, 177, 106, 166, 169, 111, 190, 163, 125, 202, 144, 179, 239, 135, 207, 250, 134, 212, 249, 118, 202, 247, 101, 188, 241,  94, 167, 229, 107, 155, 213,
   148, 175, 204, 190, 195, 217, 198, 177, 213, 206, 147, 190, 206, 137, 160, 202, 127, 148, 202, 121, 141, 200, 123, 141, 202, 134, 151, 211, 187, 214, 223, 211, 231, 226, 223, 238, 216, 204, 227, 208, 168, 213, 209, 155, 205, 210, 150, 195, 206, 143, 174, 197, 111, 110, 197,  96,  71, 196,  94,  65, 199,  96,  62,
   197,  94,  58, 199,  93,  53, 199,  93,  52, 198,  92,  51, 198,  92,  49, 196,  89,  42, 198,  92,  45, 199,  91,  43, 199,  90,  40, 200,  93,  40, 198,  90,  34, 199,  91,  34, 198,  89,  31, 198,  88,  27, 198,  88,  29, 198,  87,  29, 198,  89,  28, 197,  89,  26, 198,  87,  27, 200,  91,  34, 193,  84,  31,
   184,  76,  24, 167,  67,  29, 143,  54,  25, 114,  41,  27,  93,  31,  26,  89,  31,  26,  93,  30,  22, 116,  39,  25, 146,  54,  29, 170,  67,  30, 193,  81,  31, 206,  88,  32, 211,  93,  32, 214,  94,  34, 210,  93,  35, 203, 106,  92, 180, 141, 201, 120, 151, 221,  59, 125, 207,  43, 113, 187,  21,  82, 149,
    32,  88, 154,   7,  32,  88,  13,  60, 122,  17,  63, 125,  23,  78, 143,  50, 140, 215,  31,  93, 162,  16,  57, 116,  12,  25,  68,  33,  75, 127,  38, 105, 179,  27,  88, 157,  20,  59, 122,  10,  37,  97,   8,  37,  97,  11,  45, 105,   9,  61, 124,  11,  75, 145,  32, 104, 180,  25, 107, 186,  28, 109, 190,
    17,  71, 145,   7,  54, 133,  17, 111, 194,  27, 138, 227,  18, 107, 194,  10, 101, 191,   5,  64, 154,   4,  56, 144,   5,  82, 170,   7,  97, 187,   9,  97, 185,   5,  78, 168,   5,  78, 162,  14,  54, 127,  46,  84, 152,  83,  66, 119,  90,  64, 124,  95,  61, 124,  95,  58, 123,  96,  57, 120,  98,  57, 119,
   101,  56, 115, 102,  56, 112, 101,  59, 117,  94,  60, 117,  77,  57, 112,  59,  54, 105,  41,  48, 103,  22,  41,  99,  11,  38, 100,   3,  32,  96,   3,  23,  88,   2,  28,  92,   2,  29,  93,   3,  33,  97,   8,  39, 100,  21,  44, 103,  34,  50, 107,  45,  55, 112,  51,  58, 113,  56,  61, 116,  56,  64, 119,
    54,  62, 117,  54,  63, 119,  50,  60, 116,  45,  56, 112,  38,  51, 107,  30,  44, 100,  18,  37,  93,  10,  34,  90,   8,  35,  93,   8,  37,  97,  13,  41, 102,  22,  48, 110,  29,  52, 116,  30,  52, 116,  28,  49, 113,  21,  47, 110,  14,  42, 105,  11,  41, 103,  13,  41, 100,  13,  39,  99,  15,  39,  98,
    19,  40,  97,  20,  40,  97,  17,  38,  94,  10,  36,  92,   7,  35,  93,   2,  30,  88,   2,  29,  89,   2,  30,  90,   2,  29,  89,   2,  30,  88,   2,  31,  89,   5,  32,  87,   8,  30,  82,   9,  26,  76,   6,  22,  70,   5,  20,  64,   5,  16,  58,   9,  14,  51,  17,  10,  40,  37,   9,  36,  54,  11,  22,
    71,  12,  11,  89,  16,   3, 103,  22,   2, 112,  26,   4, 114,  26,   3, 112,  25,   2, 106,  29,   2, 108,  32,   3, 110,  32,   3, 111,  32,   2, 108,  32,   3, 108,  31,   3, 111,  34,   5, 111,  34,   5, 113,  36,   8, 118,  41,  15, 118,  41,  15, 121,  42,  17, 121,  42,  16, 124,  44,  16, 126,  44,  16,
   126,  45,  14, 125,  43,  11, 125,  43,  10, 126,  43,   9, 128,  43,   7, 130,  45,   8, 134,  45,   7, 135,  47,   5, 135,  47,   4, 138,  51,   6, 138,  50,   5, 140,  50,   7, 141,  51,   8, 143,  51,   8, 144,  52,  10, 148,  55,  12, 146,  54,   9, 150,  57,  11, 153,  58,  12, 154,  58,  11, 155,  60,  11,
   158,  61,  12, 158,  59,   9, 161,  60,  11, 161,  62,  11, 162,  62,   9, 163,  64,  13, 162,  64,  12, 163,  65,  15, 165,  66,  23, 163,  65,  23, 164,  67,  29, 163,  68,  32, 162,  67,  32, 161,  66,  36, 160,  68,  44, 163,  72,  55, 162,  72,  59, 165,  77,  66, 164,  76,  69, 168,  79,  75, 169,  83,  79,
   166,  82,  81, 168,  84,  87, 172,  87,  96, 171,  89, 106, 177,  96, 114, 177,  99, 120, 179, 105, 131, 180, 109, 149, 179, 110, 170, 175, 114, 187, 154, 122, 203, 134, 142, 220, 112, 135, 218,  98, 127, 202, 130, 176, 213, 207, 238, 245, 252, 255, 255, 255, 255, 255, 255, 255, 255, 251, 255, 255, 223, 226, 232,
   204, 146, 170, 204, 134, 155, 203, 131, 149, 210, 153, 169, 237, 231, 234, 254, 255, 255, 253, 255, 254, 253, 254, 254, 251, 255, 254, 229, 234, 242, 201, 170, 217, 207, 154, 205, 208, 145, 177, 200, 115, 116, 199, 100,  78, 196,  97,  69, 199,  98,  67, 200,  96,  62, 198,  94,  56, 199,  94,  53, 199,  93,  51,
   198,  92,  48, 199,  93,  49, 197,  92,  46, 198,  93,  47, 199,  91,  46, 199,  92,  43, 199,  92,  39, 198,  91,  37, 198,  90,  34, 200,  91,  35, 198,  88,  31, 199,  89,  35, 198,  88,  27, 200,  90,  34, 196,  88,  25, 199,  88,  34, 196,  87,  37, 187,  81,  32, 170,  70,  27, 147,  56,  25, 122,  45,  27,
    94,  30,  22,  85,  25,  17,  92,  30,  20, 113,  40,  26, 144,  54,  33, 167,  66,  34, 189,  78,  31, 203,  87,  39, 211,  95,  44, 212,  94,  46, 211,  99,  62, 194, 123, 144, 129, 142, 212,  59, 106, 178,  44, 108, 184,  37,  99, 169,  34,  90, 155,  16,  59, 119,  10,  40, 101,  37, 100, 170,  39, 116, 189,
    59, 156, 226,  33,  96, 162,   9,  34,  94,   8,  21,  69,  24,  59, 119,  39, 119, 191,  29,  89, 162,  23,  76, 149,  35,  87, 155,  23,  83, 151,  16,  66, 133,   8,  30,  87,  12,  47, 108,  10,  61, 132,  20, 100, 176,  37, 128, 214,  37, 118, 202,  10,  73, 150,   8,  71, 152,  10,  95, 177,  10,  73, 151,
     8,  25,  99,   7,  55, 133,  10,  95, 185,   5,  86, 177,   6,  94, 183,   8,  89, 179,  14, 127, 218,  10, 102, 194,   5,  44, 124,   9,  53, 130,  40,  87, 158,  85,  63, 119,  93,  64, 123,  96,  60, 124,  96,  56, 121,  97,  54, 119,  97,  55, 117,  98,  53, 114, 101,  56, 114,  97,  57, 115,  88,  58, 113,
    73,  58, 110,  59,  56, 107,  42,  50, 106,  23,  45, 104,   7,  37, 100,   2,  31,  96,   3,  26,  93,   3,  25,  91,   2,  29,  93,   3,  32,  96,   8,  38,  99,  18,  43, 100,  32,  48, 105,  41,  55, 109,  48,  57, 113,  53,  59, 116,  50,  59, 117,  47,  59, 117,  44,  59, 116,  43,  58, 116,  42,  54, 112,
    34,  47, 105,  26,  42, 100,  17,  38,  94,   7,  33,  92,   5,  33,  94,   5,  36,  98,   7,  38, 102,  12,  43, 107,  21,  48, 114,  22,  50, 115,  18,  48, 113,   9,  42, 107,   6,  39, 103,   3,  36,  98,   3,  34,  97,   5,  34,  95,   7,  37,  96,   8,  35,  94,   8,  35,  93,   7,  34,  91,   5,  31,  90,
     3,  30,  89,   2,  30,  88,   3,  30,  89,   3,  28,  89,   3,  27,  90,   3,  30,  90,   3,  30,  89,   3,  31,  87,   4,  25,  80,   4,  23,  75,   3,  20,  70,   3,  17,  64,   5,  15,  56,  12,  14,  50,  29,  10,  43,  47,  11,  34,  64,  15,  21,  80,  17,  11,  95,  19,   3, 106,  24,   2, 112,  25,   3,
   112,  24,   1, 114,  25,   2, 104,  28,   3, 104,  31,   3, 103,  30,   3, 103,  30,   3, 100,  28,   3, 101,  29,   5, 103,  31,   9, 105,  32,  10, 107,  35,  16, 113,  41,  22, 116,  42,  24, 119,  43,  25, 120,  44,  23, 120,  43,  24, 119,  43,  22, 118,  41,  16, 118,  39,  11, 117,  40,  11, 120,  40,  11,
   123,  41,  11, 126,  44,  13, 129,  45,  11, 135,  50,  13, 134,  47,   9, 136,  49,   9, 136,  49,   9, 137,  51,  11, 137,  49,  10, 138,  51,  12, 140,  52,  14, 143,  53,  14, 142,  52,  10, 146,  54,  12, 149,  56,  12, 152,  59,  13, 153,  58,  12, 154,  59,  12, 157,  60,  14, 157,  61,  14, 158,  59,  12,
   160,  62,  14, 160,  63,  16, 161,  64,  18, 157,  62,  18, 161,  64,  25, 158,  64,  25, 157,  63,  26, 156,  63,  28, 157,  64,  32, 155,  64,  38, 156,  66,  46, 157,  70,  57, 158,  72,  63, 157,  74,  69, 160,  76,  74, 160,  79,  77, 162,  81,  80, 164,  80,  83, 165,  81,  85, 169,  84,  92, 169,  87, 100,
   170,  91, 106, 173,  96, 116, 173, 101, 124, 175, 105, 131, 174, 106, 143, 174, 110, 165, 162, 113, 180, 141, 123, 196, 121, 133, 195, 165, 210, 230, 243, 255, 254, 255, 254, 254, 253, 254, 253, 253, 254, 253, 253, 254, 254, 254, 255, 254, 249, 252, 252, 209, 205, 215, 189, 126, 148, 196, 138, 159, 237, 231, 236,
   254, 255, 255, 254, 254, 254, 254, 254, 255, 254, 254, 254, 253, 254, 254, 251, 253, 252, 213, 215, 231, 203, 151, 205, 201, 139, 165, 195, 113, 114, 195, 100,  79, 197,  98,  72, 197,  96,  63, 197,  95,  62, 198,  96,  59, 198,  92,  54, 199,  95,  56, 197,  93,  50, 200,  95,  52, 200,  95,  52, 197,  92,  50,
   198,  93,  49, 198,  93,  49, 198,  92,  44, 200,  93,  45, 198,  91,  37, 198,  91,  36, 199,  91,  36, 198,  89,  32, 199,  88,  30, 199,  90,  34, 198,  89,  29, 198,  88,  33, 194,  85,  32, 187,  79,  29, 172,  72,  29, 152,  61,  27, 128,  47,  26, 100,  33,  20,  88,  27,  16,  89,  27,  15, 108,  36,  21,
   136,  49,  29, 162,  63,  30, 184,  76,  34, 200,  88,  41, 206,  93,  50, 210,  97,  60, 204,  96,  73, 180, 107, 122,  69, 114, 192,  59, 115, 192,  61, 123, 201,  25,  76, 142,  42, 100, 164,  10,  37,  92,  21,  71, 134,  57, 156, 221,  61, 157, 217,  19,  73, 140,  13,  36,  89,  19,  71, 134,  39, 124, 196,
    30, 112, 190,  23,  96, 171,  39, 111, 179,  22,  69, 141,  19,  78, 146,  27,  81, 148,  15,  74, 144,  24,  87, 157,  10,  54, 119,  15,  91, 168,  21,  99, 179,  20, 101, 183,  14,  78, 155,  17,  95, 172,  19,  89, 169,  10,  79, 158,  11,  53, 125,   5,  25,  97,  10,  61, 141,   5,  62, 151,   7,  82, 174,
     5,  86, 176,  13,  79, 165,  23, 167, 245,   7, 128, 212,   5,  52, 135,   6,  71, 152,  32,  77, 143,  73,  60, 113,  84,  62, 122,  84,  56, 119,  87,  54, 117,  86,  52, 116,  89,  54, 115,  89,  52, 114,  92,  56, 114,  86,  53, 112,  80,  58, 112,  69,  61, 110,  55,  58, 108,  40,  53, 108,  23,  45, 106,
     9,  39, 104,   2,  29,  95,   3,  25,  90,   3,  26,  91,   4,  28,  92,   3,  31,  93,   5,  36,  96,  18,  42, 101,  30,  46, 105,  39,  52, 110,  44,  56, 114,  43,  56, 115,  42,  55, 116,  38,  54, 116,  38,  56, 118,  38,  55, 116,  36,  52, 112,  34,  49, 107,  28,  43, 101,  14,  36,  94,   6,  32,  91,
     3,  29,  92,   2,  32,  95,   2,  34,  99,   5,  39, 105,   8,  42, 110,   8,  43, 111,   6,  41, 109,   4,  38, 104,   3,  33,  99,   4,  30,  95,   3,  30,  94,   3,  30,  91,   3,  29,  90,   2,  28,  89,   3,  29,  88,   2,  27,  86,   3,  26,  86,   4,  25,  87,   2,  22,  84,   3,  23,  85,   3,  24,  86,
     3,  23,  87,   3,  26,  89,   2,  26,  88,   3,  24,  84,   3,  22,  79,   3,  19,  75,   3,  17,  69,   2,  15,  62,   8,  16,  57,  20,  14,  51,  40,   9,  44,  59,  14,  30,  71,  16,  20,  86,  19,   9, 101,  24,   6, 109,  25,   4, 113,  26,   2, 113,  25,   3, 113,  24,   3,  97,  27,   5,  96,  26,   5,
    97,  29,   9,  95,  26,   6,  93,  27,   9,  95,  29,  13,  94,  29,  16,  98,  34,  23, 100,  36,  24, 109,  43,  31, 118,  51,  39, 124,  54,  44, 122,  53,  40, 118,  49,  34, 114,  42,  30, 111,  40,  24, 112,  39,  21, 110,  36,  15, 110,  37,  13, 115,  39,  13, 117,  40,  13, 122,  43,  15, 126,  44,  13,
   127,  44,  13, 130,  47,  13, 129,  46,  13, 130,  48,  17, 130,  44,  15, 130,  45,  15, 133,  50,  16, 136,  51,  17, 136,  51,  14, 138,  52,  14, 141,  51,  11, 144,  53,  10, 148,  56,  12, 148,  57,  12, 148,  56,  11, 151,  57,  15, 151,  59,  15, 151,  58,  16, 152,  59,  18, 152,  60,  19, 150,  57,  19,
   153,  60,  25, 151,  59,  25, 151,  62,  32, 151,  63,  34, 150,  63,  35, 149,  63,  41, 148,  65,  50, 148,  67,  58, 150,  71,  68, 151,  72,  72, 152,  74,  76, 152,  75,  78, 153,  74,  78, 159,  76,  80, 159,  76,  80, 160,  79,  86, 161,  82,  93, 162,  86, 100, 162,  90, 106, 164,  93, 114, 164,  97, 119,
   166, 100, 131, 166, 103, 143, 159, 105, 164, 141, 112, 172, 142, 171, 206, 233, 255, 255, 253, 254, 253, 254, 254, 254, 253, 253, 253, 253, 253, 253, 253, 254, 254, 253, 254, 254, 252, 254, 254, 221, 241, 242, 148, 116, 140, 178, 157, 174, 255, 255, 255, 254, 254, 254, 252, 254, 254, 253, 253, 253, 253, 255, 254,
   255, 254, 254, 252, 254, 254, 239, 244, 247, 192, 149, 190, 192, 122, 137, 192, 110, 110, 191,  98,  78, 193,  98,  72, 193,  95,  65, 194,  95,  63, 194,  94,  60, 196,  95,  57, 195,  94,  55, 196,  94,  54, 197,  93,  51, 198,  94,  53, 197,  94,  55, 198,  94,  54, 198,  94,  54, 201,  95,  54, 198,  93,  49,
   198,  93,  45, 198,  92,  39, 201,  91,  41, 198,  89,  34, 199,  90,  37, 198,  88,  33, 197,  88,  30, 199,  88,  35, 198,  88,  40, 188,  83,  33, 177,  75,  32, 157,  65,  30, 135,  50,  24, 108,  39,  21,  92,  30,  15,  91,  27,  14, 108,  34,  16, 133,  50,  26, 160,  63,  32, 182,  76,  41, 194,  86,  50,
   201,  93,  62, 198,  92,  70, 163,  93, 107, 117, 103, 155,  62, 121, 201,  70, 145, 219,  57, 125, 196,  39, 101, 170,  15,  40,  93,  25,  78, 139,  74, 190, 249,  50, 150, 223,  34, 114, 182,  65, 175, 234,  42, 150, 226,  26, 101, 173,  18,  80, 152,  17,  87, 161,  17,  91, 165,  24, 100, 176,  24,  88, 159,
    28,  90, 163,  14,  80, 150,  15,  80, 152,  18,  89, 161,  14,  78, 151,  22,  94, 171,  16, 105, 190,  10,  86, 164,  36, 129, 213,  26, 118, 202,  27, 114, 195,  22,  92, 170,  15,  53, 121,  10,  78, 158,  10,  99, 190,   7, 107, 202,   9, 117, 211,  13, 112, 199,   6,  73, 157,  18, 132, 213,   7, 118, 211,
     6,  77, 162,   8,  70, 148,  19,  63, 128,  36,  43,  97,  68,  59, 113,  73,  58, 116,  75,  56, 114,  72,  51, 111,  72,  50, 109,  74,  50, 108,  77,  54, 110,  73,  54, 108,  67,  57, 107,  59,  59, 107,  48,  57, 109,  35,  52, 107,  19,  45, 106,   6,  39, 101,   4,  32,  97,   3,  22,  88,   2,  21,  86,
     4,  25,  88,   2,  30,  90,   7,  33,  92,  18,  39,  95,  27,  44, 101,  34,  49, 108,  39,  53, 112,  36,  51, 114,  33,  51, 114,  31,  50, 115,  28,  48, 113,  27,  46, 111,  28,  45, 108,  28,  43, 104,  21,  38,  97,  11,  32,  90,   5,  28,  89,   3,  27,  89,   3,  25,  91,   3,  30,  97,   4,  32, 102,
     2,  34, 106,   3,  36, 107,   3,  36, 105,   4,  30,  99,   3,  26,  93,   3,  24,  90,   3,  21,  86,   2,  20,  84,   3,  20,  84,   2,  21,  82,   2,  21,  81,   2,  22,  81,   4,  22,  81,   3,  19,  80,   2,  19,  79,   3,  19,  80,   3,  20,  82,   3,  20,  83,   3,  20,  85,   2,  19,  84,   2,  19,  82,
     2,  18,  77,   4,  14,  72,   3,   9,  64,   3,  11,  61,  12,  14,  57,  31,  12,  52,  53,  13,  42,  68,  17,  26,  79,  18,  20,  93,  22,   9, 100,  23,   4, 108,  25,   3, 114,  26,   3, 114,  25,   1, 114,  25,   2,  90,  25,   9,  87,  24,   7,  85,  24,   8,  84,  23,   9,  84,  25,  14,  82,  25,  18,
    85,  29,  26,  88,  30,  27, 101,  45,  41, 134, 105, 104, 188, 181, 182, 197, 206, 201, 185, 194, 190, 126,  97,  96, 110,  47,  42, 104,  38,  34, 103,  37,  28, 101,  35,  22, 103,  36,  19, 105,  35,  13, 109,  36,  12, 113,  38,  13, 116,  39,  14, 118,  41,  16, 120,  43,  16, 120,  42,  18, 120,  42,  19,
   120,  43,  21, 122,  44,  22, 123,  45,  21, 125,  46,  19, 126,  46,  18, 129,  47,  19, 133,  48,  15, 136,  50,  14, 138,  51,  10, 137,  50,   8, 140,  51,  12, 140,  52,  12, 142,  52,  12, 142,  55,  14, 142,  54,  16, 142,  54,  17, 141,  54,  19, 142,  54,  23, 142,  54,  27, 143,  55,  31, 140,  55,  32,
   140,  57,  36, 140,  61,  44, 141,  64,  55, 143,  66,  62, 143,  70,  70, 142,  68,  72, 141,  70,  76, 146,  73,  80, 146,  72,  78, 149,  72,  79, 150,  70,  77, 152,  74,  82, 153,  77,  89, 151,  79,  94, 154,  85, 101, 154,  88, 105, 157,  91, 112, 159,  96, 122, 158,  98, 133, 155, 102, 154, 139, 111, 162,
   176, 217, 232, 248, 255, 254, 253, 254, 254, 254, 254, 254, 253, 254, 254, 254, 254, 254, 253, 253, 253, 253, 254, 254, 253, 254, 254, 223, 246, 248, 116, 116, 137, 187, 184, 192, 255, 255, 255, 253, 254, 254, 254, 254, 254, 252, 254, 254, 254, 254, 254, 254, 254, 254, 253, 254, 254, 247, 249, 250, 178, 149, 164,
   179, 109, 122, 184, 105, 101, 185,  98,  79, 186,  94,  70, 187,  93,  65, 190,  93,  64, 189,  92,  61, 189,  92,  57, 189,  90,  54, 190,  92,  55, 192,  90,  52, 194,  93,  54, 193,  94,  57, 196,  94,  56, 196,  94,  59, 198,  95,  56, 198,  94,  52, 200,  95,  52, 199,  93,  47, 198,  90,  38, 198,  90,  38,
   197,  88,  35, 200,  90,  39, 199,  90,  38, 198,  88,  36, 199,  90,  42, 193,  86,  41, 180,  77,  35, 165,  69,  33, 141,  56,  28, 112,  40,  21,  96,  32,  17,  95,  29,  16, 107,  36,  16, 128,  45,  22, 158,  62,  33, 178,  75,  45, 188,  84,  58, 187,  86,  66, 170,  92,  95,  97, 126, 190,  56,  96, 160,
    51, 118, 182,  60, 137, 209,  29,  86, 152,  21,  66, 123,   8,  23,  73,  16,  49, 106,  46, 135, 204,  57, 158, 221,  89, 214, 255,  51, 163, 227,  21,  96, 168,   7,  51, 115,  12,  67, 133,  27,  96, 169,  19,  77, 146,  15,  76, 147,  21,  94, 167,  25, 102, 176,  16,  83, 154,  19,  79, 151,  12,  65, 138,
    13,  93, 173,  23, 115, 198,  17, 110, 195,   9,  83, 164,  21, 104, 188,  20, 116, 204,  24, 113, 200,  25, 112, 193,  19,  89, 167,  24, 131, 221,  23, 124, 213,  10,  87, 173,   6,  64, 145,   4,  74, 159,   5,  71, 155,  11,  99, 184,   5,  79, 163,   5,  79, 162,  11,  85, 164,   9,  48, 115,  12,  32,  91,
    47,  51, 106,  58,  56, 110,  60,  56, 109,  58,  51, 106,  58,  51, 105,  60,  50, 103,  61,  51, 104,  58,  52, 103,  55,  53, 103,  52,  55, 107,  40,  51, 107,  29,  48, 107,  15,  42, 104,   6,  37, 103,   4,  35,  99,   4,  29,  93,   2,  22,  83,   3,  24,  84,   4,  27,  85,   7,  29,  88,  14,  34,  92,
    25,  38,  97,  28,  42, 102,  31,  46, 107,  30,  46, 110,  27,  45, 109,  23,  43, 109,  24,  43, 109,  22,  41, 107,  22,  40, 105,  21,  38,  99,  15,  34,  92,  10,  29,  88,   4,  24,  84,   2,  19,  82,   3,  22,  87,   4,  24,  91,   3,  25,  96,   2,  28, 102,   3,  25,  99,   2,  24,  96,   3,  20,  91,
     4,  20,  87,   3,  17,  84,   2,  13,  79,   3,  13,  78,   3,  12,  75,   2,  12,  72,   2,  16,  74,   3,  15,  74,   2,  14,  73,   2,  14,  73,   3,  15,  75,   2,  15,  75,   3,  16,  77,   3,  16,  80,   2,  15,  82,   2,  15,  80,   3,  14,  78,   3,  12,  75,   2,  11,  72,   3,   8,  64,   5,  10,  59,
    18,  13,  55,  41,  10,  51,  63,  16,  37,  76,  18,  26,  88,  21,  18,  98,  22,   8, 103,  23,   3, 110,  27,   3, 113,  27,   3, 113,  26,   2, 114,  25,   2,  78,  22,   9,  78,  23,  13,  77,  25,  15,  72,  20,  13,  73,  22,  19,  74,  28,  28,  76,  30,  34,  89,  43,  46, 188, 181, 182, 254, 255, 255,
   255, 255, 255, 254, 255, 255, 255, 255, 255, 228, 242, 243, 109,  85,  88,  96,  42,  43,  97,  40,  40,  95,  37,  34,  95,  36,  28,  96,  34,  22, 103,  36,  19, 106,  37,  18, 107,  35,  16, 111,  38,  18, 111,  39,  19, 110,  38,  18, 112,  41,  23, 112,  40,  22, 112,  41,  26, 112,  41,  25, 115,  43,  23,
   117,  42,  21, 117,  42,  19, 121,  43,  16, 126,  46,  18, 128,  48,  16, 127,  45,  12, 131,  47,  16, 131,  48,  17, 132,  49,  17, 131,  50,  19, 132,  50,  20, 131,  49,  20, 133,  49,  22, 132,  51,  26, 132,  52,  31, 129,  50,  30, 130,  53,  37, 130,  53,  40, 131,  56,  47, 131,  58,  55, 131,  62,  63,
   129,  62,  70, 132,  66,  75, 133,  68,  79, 135,  69,  80, 137,  69,  79, 138,  67,  76, 141,  67,  76, 141,  68,  77, 142,  72,  84, 142,  74,  89, 146,  80,  95, 145,  83,  99, 148,  86, 105, 149,  89, 113, 149,  91, 123, 147,  95, 140, 137, 111, 158, 182, 225, 239, 249, 255, 254, 253, 254, 254, 254, 254, 254,
   254, 254, 254, 254, 254, 254, 253, 253, 253, 254, 254, 254, 253, 254, 254, 216, 243, 246, 104, 107, 126, 183, 180, 188, 255, 255, 255, 253, 254, 253, 252, 254, 254, 252, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 246, 248, 247, 171, 140, 149, 174, 107, 116, 176, 100,  93, 176,  94,  77, 179,  92,  71,
   180,  91,  63, 182,  92,  63, 181,  90,  59, 182,  88,  54, 184,  89,  53, 185,  89,  54, 185,  89,  52, 191,  93,  57, 190,  93,  58, 191,  93,  58, 194,  95,  60, 193,  94,  60, 195,  93,  57, 199,  95,  56, 198,  94,  51, 198,  92,  44, 197,  89,  39, 199,  91,  44, 198,  90,  40, 197,  88,  37, 198,  90,  42,
   198,  90,  44, 191,  86,  40, 183,  80,  35, 166,  71,  34, 146,  58,  29, 118,  43,  23, 101,  33,  17,  98,  31,  16, 106,  35,  19, 126,  44,  25, 153,  58,  35, 168,  70,  47, 174,  77,  59, 158,  81,  80, 106, 122, 175,  45,  89, 148,  28,  73, 129,  74, 176, 239,  25,  80, 147,  13,  49, 106,  16,  39,  92,
     8,  23,  72,  25,  70, 130,  39, 120, 184,  79, 218, 255,  55, 176, 247,  42, 147, 215,  15,  51, 108,  11,  44, 102,  16,  79, 150,  24, 104, 181,   9,  65, 134,  10,  68, 136,  14,  85, 156,  17,  92, 168,  14,  78, 154,  17,  92, 169,  28, 102, 179,  23, 116, 199,  20, 103, 187,  15, 110, 197,  14, 110, 199,
    20, 119, 210,  21, 132, 226,  35, 149, 239,  44, 155, 243,  41, 154, 240,  22, 126, 215,  19, 124, 213,  16,  89, 170,   4,  10,  75,   7,  36, 105,   7,  83, 162,  12,  99, 181,   5,  60, 139,   6,  68, 146,  11,  74, 147,   5,  49, 118,  14,  37,  97,  29,  44, 104,  46,  50, 108,  44,  48, 106,  48,  49, 106,
    46,  47, 103,  47,  47, 100,  49,  47, 101,  45,  46, 100,  46,  49, 103,  42,  50, 107,  35,  50, 108,  30,  49, 111,  22,  45, 111,  13,  41, 106,  13,  41, 104,   8,  35,  96,   3,  27,  86,   4,  24,  82,   5,  24,  82,   8,  28,  84,  19,  31,  89,  21,  34,  92,  25,  36,  96,  22,  37, 100,  22,  38, 104,
    21,  38, 105,  22,  41, 106,  20,  39, 104,  18,  37, 102,  18,  37, 101,  16,  33,  94,  12,  29,  89,   8,  26,  85,   2,  19,  77,   3,  18,  80,   3,  16,  81,   3,  18,  87,   3,  21,  93,   3,  22,  94,   3,  17,  91,   2,  15,  89,   3,  14,  86,   3,  10,  79,   2,  10,  77,   3,   8,  73,   2,   6,  70,
     3,   6,  69,   3,   6,  66,   3,   7,  67,   2,  10,  68,   3,  11,  69,   2,  10,  69,   2,  11,  71,   2,  11,  72,   2,  12,  76,   2,  10,  75,   2,  10,  78,   2,   9,  76,   2,   9,  77,   1,   8,  74,   2,   8,  71,   3,   9,  66,   9,  13,  61,  30,  13,  58,  53,  12,  49,  71,  19,  32,  82,  18,  23,
    95,  23,  14, 102,  24,   7, 107,  25,   5, 111,  26,   4, 113,  27,   3, 113,  26,   2, 113,  24,   2,  70,  20,  13,  71,  21,  17,  68,  22,  20,  64,  21,  22,  63,  23,  28,  65,  28,  34,  71,  34,  42, 149, 138, 142, 246, 255, 255, 252, 254, 254, 252, 254, 254, 253, 254, 254, 253, 254, 254, 252, 254, 254,
   167, 185, 186,  93,  50,  59,  88,  41,  46,  87,  38,  38,  88,  36,  34,  90,  34,  28,  91,  31,  21,  96,  33,  22,  99,  33,  24, 102,  35,  23,  99,  34,  24, 101,  36,  26, 101,  37,  28,  99,  34,  28, 100,  36,  29, 101,  36,  28, 104,  37,  28, 105,  38,  25, 108,  40,  22, 112,  41,  21, 114,  42,  18,
   115,  42,  17, 118,  42,  17, 117,  41,  16, 120,  43,  19, 119,  42,  17, 121,  44,  20, 119,  44,  21, 118,  45,  23, 119,  45,  24, 122,  46,  28, 122,  48,  31, 121,  47,  33, 121,  48,  38, 122,  50,  42, 120,  52,  49, 121,  55,  58, 122,  59,  67, 121,  61,  72, 125,  65,  77, 127,  66,  80, 127,  67,  81,
   128,  66,  79, 128,  63,  74, 128,  63,  74, 132,  65,  76, 133,  68,  81, 132,  69,  82, 136,  74,  88, 140,  78,  94, 140,  81, 100, 141,  83, 107, 139,  88, 117, 137,  90, 131, 127, 105, 149, 153, 194, 214, 244, 255, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 253, 253, 253, 254, 254, 254,
   251, 254, 254, 193, 229, 233, 105,  92, 121, 156, 151, 167, 255, 255, 255, 254, 253, 253, 252, 254, 254, 253, 254, 254, 254, 255, 255, 254, 254, 254, 252, 254, 254, 231, 237, 236, 162, 121, 131, 165, 100, 106, 166,  95,  87, 168,  91,  76, 169,  88,  67, 171,  88,  62, 172,  87,  60, 174,  88,  58, 176,  86,  57,
   175,  86,  54, 176,  84,  50, 181,  88,  56, 183,  90,  59, 185,  92,  60, 188,  92,  62, 189,  91,  61, 191,  93,  64, 191,  93,  60, 192,  93,  56, 194,  91,  52, 193,  89,  45, 196,  90,  45, 196,  91,  47, 195,  88,  45, 194,  88,  42, 197,  89,  44, 195,  88,  45, 192,  87,  43, 188,  82,  45, 170,  72,  37,
   151,  61,  35, 126,  48,  31, 106,  35,  20, 102,  32,  21, 106,  35,  19, 122,  43,  25, 145,  56,  38, 156,  64,  50, 145,  62,  61,  89,  71, 104,  65, 135, 205,  23,  62, 117,  72, 155, 229,  44, 119, 184,  22,  77, 137,   8,  24,  78,  28,  80, 143,   8,  39,  98,  25,  84, 151,  61, 181, 245,  52, 175, 243,
    47, 161, 231,   9,  60, 118,  10,  27,  74,  29, 105, 176,  17,  97, 171,  27,  94, 164,   9,  49, 113,   9,  34, 100,  14,  74, 147,  15,  90, 171,  18,  92, 170,  21, 107, 185,  23,  96, 173,  26, 108, 188,  22, 107, 191,  19, 113, 200,  23, 129, 222,  14, 120, 216,  17, 126, 222,  18, 135, 230,  19, 134, 229,
    47, 163, 247,  35, 145, 231,  31, 135, 218,   5,  80, 159,   6,  51, 131,   6,  76, 154,   8,  69, 146,  13,  89, 165,   9,  65, 137,   7,  53, 123,   6,  49, 120,   8,  62, 131,  17,  49, 113,  26,  44, 108,  36,  44, 105,  37,  43, 103,  40,  44, 104,  37,  41, 101,  36,  40,  99,  38,  41,  99,  39,  41, 101,
    40,  46, 105,  35,  45, 107,  30,  45, 110,  27,  48, 113,  24,  49, 114,  20,  45, 110,  19,  43, 107,  12,  35,  97,  10,  31,  91,   8,  26,  83,   7,  23,  78,  11,  25,  82,  14,  26,  82,  17,  27,  86,  21,  32,  93,  19,  32,  96,  22,  36, 102,  20,  35, 103,  16,  32, 100,  15,  32,  99,  14,  31,  97,
    13,  29,  96,  11,  27,  90,  12,  28,  87,   7,  22,  80,   3,  17,  76,   3,  16,  77,   3,  14,  80,   2,  13,  83,   3,  15,  88,   3,  17,  92,   2,  12,  90,   3,  12,  88,   2,  12,  86,   3,  10,  80,   3,   7,  75,   2,   6,  72,   2,   4,  70,   3,   4,  66,   2,   4,  64,   3,   4,  64,   2,   6,  65,
     3,   7,  67,   3,   9,  70,   2,   8,  70,   3,  12,  75,   4,  12,  78,   2,  10,  77,   3,   9,  78,   3,   9,  77,   2,   8,  76,   2,   8,  76,   3,   8,  73,   3,   9,  67,  16,  15,  65,  43,  13,  60,  64,  16,  45,  78,  22,  31,  88,  23,  23, 100,  25,  12, 104,  25,   7, 107,  25,   3, 111,  28,   3,
   114,  29,   2, 114,  25,   3, 112,  24,   2,  59,  19,  18,  58,  21,  22,  59,  23,  28,  58,  22,  29,  58,  23,  31,  62,  28,  39,  66,  38,  55, 202, 216, 218, 251, 254, 254, 252, 254, 254, 253, 254, 254, 252, 254, 254, 253, 254, 254, 252, 255, 254, 208, 232, 232,  82,  56,  69,  81,  43,  51,  76,  36,  43,
    77,  33,  35,  82,  34,  32,  83,  30,  26,  89,  31,  26,  89,  31,  27,  90,  31,  28,  89,  32,  30,  91,  34,  31,  89,  33,  33,  91,  36,  35,  89,  34,  35,  90,  32,  33,  92,  34,  34,  94,  35,  32,  97,  36,  31, 100,  37,  30, 104,  38,  26, 106,  38,  25, 107,  40,  24, 108,  38,  22, 110,  39,  20,
   112,  40,  21, 109,  40,  19, 110,  41,  24, 109,  41,  25, 110,  42,  27, 111,  44,  29, 110,  44,  34, 110,  44,  35, 109,  45,  39, 110,  47,  44, 109,  48,  52, 111,  53,  62, 114,  59,  69, 114,  60,  73, 116,  62,  77, 118,  64,  78, 119,  64,  79, 121,  64,  78, 120,  61,  75, 120,  59,  72, 122,  61,  73,
   124,  63,  76, 128,  67,  79, 130,  70,  84, 133,  74,  92, 130,  75,  94, 133,  80, 101, 132,  85, 112, 131,  86, 126, 120, 100, 143, 117, 140, 174, 206, 241, 246, 250, 255, 254, 253, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 240, 250, 251, 149, 182, 195, 125, 103, 139, 137, 121, 155,
   232, 237, 238, 253, 255, 255, 254, 254, 254, 254, 254, 254, 253, 254, 254, 253, 254, 254, 246, 249, 249, 191, 188, 187, 158, 106, 117, 160,  99, 102, 160,  92,  87, 162,  89,  73, 165,  89,  69, 166,  88,  63, 167,  86,  59, 167,  86,  55, 170,  88,  58, 171,  87,  58, 172,  86,  55, 174,  88,  59, 177,  89,  63,
   177,  88,  61, 178,  88,  63, 181,  90,  64, 183,  90,  64, 185,  90,  62, 187,  91,  60, 187,  88,  54, 187,  86,  47, 188,  85,  42, 189,  85,  41, 191,  86,  43, 192,  87,  44, 192,  87,  46, 191,  86,  44, 190,  86,  45, 184,  83,  49, 172,  75,  42, 152,  61,  40, 127,  48,  33, 109,  38,  26, 101,  32,  22,
   106,  34,  22, 117,  41,  28, 135,  52,  46, 136,  61,  63, 109,  85, 119,  47,  84, 139,  22,  77, 138,  22,  72, 135,  29, 100, 171,  13,  60, 120,  23,  69, 127,   8,  34,  92,  17,  77, 142,  18,  80, 147,  53, 161, 232,  41, 168, 232,  46, 155, 229,  13,  81, 147,   4,   6,  37,  19,  84, 148,  47, 134, 209,
    19,  72, 139,   5,  22,  80,   4,  27,  89,   7,  45, 112,  12,  80, 155,  13,  87, 164,  15,  96, 177,  12,  83, 161,  10,  68, 145,  12,  83, 162,   8,  76, 158,  24, 101, 181,  20, 110, 194,   9, 107, 204,  17, 127, 223,  21, 134, 227,  14, 115, 205,  30, 149, 237,  20, 129, 223,  10,  93, 177,   5,  49, 125,
     5,  36, 114,   5,  49, 120,   4,  31,  96,   5,  43, 112,   5,  30,  95,   5,  34, 101,   4,  68, 141,   4,  57, 127,   6,  33,  98,  20,  43, 109,  22,  38, 105,  28,  39, 105,  30,  37, 104,  30,  38, 104,  31,  38, 103,  30,  37, 101,  31,  39, 103,  34,  43, 109,  32,  46, 112,  30,  50, 116,  28,  51, 119,
    25,  50, 118,  21,  48, 115,  19,  44, 110,  12,  37, 101,   9,  31,  92,  10,  28,  88,   8,  23,  83,   8,  22,  81,  13,  24,  84,  16,  27,  88,  20,  32,  96,  18,  32,  99,  15,  32,  99,  14,  32,  99,  13,  31, 100,  12,  31,  98,  11,  29,  96,  10,  27,  93,   9,  25,  89,   9,  24,  85,   4,  19,  80,
     3,  19,  79,   2,  16,  78,   3,  13,  80,   3,  12,  83,   3,  15,  89,   3,  16,  92,   4,  14,  91,   3,  12,  90,   3,  13,  88,   3,  10,  83,   3,   8,  80,   2,   9,  79,   2,   6,  74,   1,   5,  70,   2,   4,  69,   4,   6,  68,   2,   7,  69,   2,   6,  70,   3,   9,  74,   2,  10,  76,   3,  13,  80,
     3,  12,  81,   2,   9,  79,   3,   8,  80,   3,  10,  81,   3,   9,  81,   2,   8,  78,   3,   7,  75,   4,  12,  71,  22,  15,  65,  52,  13,  60,  73,  20,  42,  82,  21,  29,  93,  23,  19, 102,  25,  11, 107,  26,   7, 109,  26,   4, 115,  29,   4, 115,  28,   3, 115,  27,   2, 114,  26,   2,  50,  17,  23,
    53,  22,  29,  56,  25,  30,  55,  25,  34,  57,  27,  38,  62,  35,  51,  69,  42,  64, 213, 226, 228, 251, 254, 254, 252, 254, 254, 252, 254, 254, 252, 254, 254, 252, 254, 254, 253, 254, 254, 211, 234, 234,  81,  58,  76,  79,  44,  55,  75,  38,  47,  74,  34,  40,  78,  35,  36,  79,  31,  31,  81,  31,  30,
    81,  30,  30,  81,  32,  34,  79,  31,  35,  80,  32,  37,  80,  34,  39,  81,  35,  41,  80,  34,  42,  81,  34,  41,  83,  33,  39,  82,  31,  37,  86,  34,  36,  91,  37,  38,  93,  36,  34,  96,  37,  34,  99,  38,  33, 100,  36,  29, 103,  38,  27, 103,  38,  26, 104,  39,  28, 103,  39,  29, 100,  39,  30,
   101,  39,  32, 100,  40,  33, 103,  44,  38, 103,  44,  40, 101,  43,  41, 103,  46,  47, 103,  48,  53, 105,  51,  60, 107,  57,  68, 110,  61,  75, 112,  62,  79, 110,  62,  78, 111,  64,  80, 113,  63,  80, 113,  60,  75, 116,  59,  74, 119,  61,  74, 120,  61,  75, 123,  63,  78, 123,  67,  83, 125,  70,  86,
   127,  73,  91, 124,  76,  96, 127,  82, 108, 127,  87, 123, 117,  99, 141, 110, 114, 155, 126, 174, 206, 222, 246, 249, 247, 251, 252, 249, 252, 253, 251, 253, 253, 251, 253, 253, 242, 248, 250, 186, 216, 223, 121, 123, 155, 136, 114, 151, 140, 115, 154, 171, 163, 185, 245, 246, 248, 250, 252, 252, 252, 253, 253,
   252, 254, 253, 247, 249, 250, 213, 215, 215, 152, 116, 128, 152, 102, 109, 151,  95,  96, 155,  94,  87, 160,  94,  79, 162,  93,  72, 162,  89,  63, 163,  90,  61, 165,  91,  63, 164,  88,  60, 165,  90,  62, 165,  86,  60, 168,  88,  65, 170,  86,  64, 169,  85,  63, 170,  87,  68, 174,  87,  68, 176,  88,  69,
   178,  90,  67, 176,  86,  60, 180,  85,  56, 178,  81,  46, 180,  82,  45, 183,  84,  46, 182,  83,  45, 183,  82,  45, 188,  83,  47, 189,  85,  46, 187,  84,  48, 181,  81,  47, 168,  73,  43, 148,  62,  43, 127,  50,  39, 107,  36,  29, 100,  33,  25, 100,  33,  22, 110,  36,  27, 118,  45,  42, 109,  68,  94,
    68,  93, 146,  31,  64, 111,  42, 105, 171,  44, 107, 175,  39, 112, 185,  28,  89, 155,  11,  59, 120,  14,  63, 123,  18,  75, 141,  29, 118, 196,  36, 137, 221,  37, 142, 220,  35, 135, 209,   5,  25,  76,   9,  28,  70,  41, 142, 226,  13,  82, 157,   5,  46, 109,  10,  44, 110,  11,  83, 156,  16,  89, 166,
    16,  98, 181,  16, 103, 187,   6,  83, 168,  15, 105, 190,  24, 115, 197,  19,  98, 178,  11,  86, 164,  11,  76, 156,  20,  94, 174,  16, 106, 196,  12, 107, 198,  12, 109, 200,   8,  92, 180,   9,  91, 174,  15, 111, 201,  12,  88, 168,   7,  55, 131,   5,  49, 124,   4,  28,  97,   4,  21,  82,   7,  51, 119,
     9,  44, 112,   8,  68, 140,  10,  79, 153,   5,  41, 108,   8,  40, 106,  18,  48, 116,  18,  38, 107,  26,  42, 112,  26,  40, 112,  24,  39, 110,  27,  41, 110,  26,  40, 110,  26,  41, 112,  28,  44, 115,  25,  46, 119,  28,  53, 126,  26,  56, 129,  23,  54, 127,  22,  54, 124,  18,  47, 116,  13,  41, 108,
     8,  34, 100,  12,  34,  98,   9,  28,  91,  12,  28,  91,  11,  27,  91,  14,  30,  95,  15,  32, 100,  17,  34, 104,  13,  33, 104,   8,  33, 103,   6,  29, 101,   7,  29,  99,   8,  29,  98,   8,  27,  94,   9,  27,  90,   6,  23,  85,   3,  20,  81,   3,  19,  80,   3,  15,  79,   3,  14,  81,   3,  13,  85,
     2,  16,  88,   2,  17,  94,   3,  16,  94,   3,  16,  93,   4,  14,  90,   3,  12,  89,   3,  11,  86,   3,  10,  81,   3,  11,  81,   3,   9,  79,   2,   8,  77,   2,   8,  76,   3,  10,  76,   2,  12,  79,   3,  13,  81,   2,  12,  81,   3,  13,  81,   2,  11,  81,   3,  10,  82,   3,  11,  83,   3,   9,  83,
     2,   9,  80,   2,   7,  79,   2,  10,  76,   6,  13,  70,  30,  15,  65,  61,  16,  60,  79,  24,  39,  88,  23,  30,  98,  26,  19, 104,  25,   8, 106,  25,   5, 111,  27,   5, 113,  28,   3, 115,  29,   2, 114,  27,   3, 112,  26,   2,  45,  18,  26,  49,  24,  32,  53,  26,  36,  55,  30,  42,  59,  33,  48,
    65,  38,  58,  72,  46,  71, 183, 190, 197, 248, 253, 254, 253, 254, 254, 252, 254, 254, 253, 254, 254, 254, 254, 254, 252, 254, 254, 172, 201, 205,  77,  56,  77,  78,  47,  60,  75,  41,  50,  74,  36,  44,  75,  35,  40,  74,  31,  32,  74,  28,  30,  74,  28,  34,  73,  29,  38,  72,  29,  38,  73,  31,  41,
    75,  35,  43,  75,  36,  44,  76,  35,  47,  77,  35,  45,  77,  35,  46,  78,  34,  46,  78,  34,  43,  82,  36,  44,  87,  37,  45,  92,  40,  45,  95,  40,  43,  97,  40,  38, 100,  41,  37,  99,  38,  32, 100,  40,  33,  99,  39,  32,  95,  37,  33,  95,  39,  36,  94,  39,  37,  97,  42,  39,  97,  42,  40,
    96,  44,  44,  98,  46,  50,  99,  48,  56, 103,  51,  62, 104,  58,  71, 108,  63,  77, 108,  64,  81, 107,  64,  82, 109,  68,  89, 107,  67,  87, 109,  61,  79, 111,  58,  76, 112,  58,  73, 115,  61,  77, 117,  63,  78, 118,  64,  80, 122,  69,  86, 123,  71,  89, 120,  73,  92, 122,  79, 105, 125,  85, 121,
   119,  96, 137, 112, 110, 153, 109, 120, 168, 112, 149, 189, 151, 193, 218, 180, 218, 230, 200, 229, 235, 203, 226, 231, 157, 183, 206, 119, 130, 165, 132, 120, 157, 137, 112, 153, 139, 112, 152, 141, 117, 153, 157, 146, 169, 197, 199, 210, 222, 225, 227, 230, 231, 229, 193, 190, 191, 154, 122, 132, 146, 103, 113,
   149, 102, 106, 150,  99,  97, 157,  99,  92, 160, 100,  82, 165, 103,  78, 164, 100,  73, 164,  96,  68, 163,  98,  74, 163,  96,  75, 165,  98,  78, 166,  96,  78, 167,  95,  81, 170,  98,  85, 168,  95,  83, 167,  91,  82, 165,  90,  80, 167,  91,  77, 169,  89,  71, 168,  84,  63, 170,  81,  55, 169,  78,  47,
   168,  77,  44, 171,  78,  47, 174,  80,  48, 178,  83,  50, 182,  91,  62, 185, 111,  93, 187, 121, 109, 179, 100,  83, 165,  77,  54, 146,  63,  50, 122,  48,  46, 103,  40,  38,  95,  32,  31,  96,  33,  27, 103,  38,  34, 111,  44,  47, 106,  51,  66,  50,  50,  98,   2,  11,  41,  12,  43,  88,  41, 115, 180,
    43, 112, 179,  21,  83, 149,  10,  52, 117,  25, 104, 171,  28, 106, 177,  12,  89, 163,  20, 116, 197,  32, 140, 219,  25, 121, 199,   3,  22,  75,  10,  67, 135,  30, 124, 206,  21,  93, 158,   5,  41, 101,  12,  78, 146,  19,  99, 172,  20, 102, 183,  24, 123, 211,  24, 130, 224,  21, 127, 220,  12, 104, 193,
    13, 105, 191,  14,  89, 171,  30, 117, 197,  13,  80, 161,   4,  56, 135,   5,  72, 152,  10,  88, 172,  13,  93, 178,   8,  76, 157,   7,  67, 142,   7,  66, 141,   7,  64, 139,   8,  71, 148,   7,  69, 146,   6,  60, 134,   7,  50, 118,   7,  45, 113,   5,  51, 123,   6,  61, 136,   7,  62, 135,   3,  34, 104,
     9,  46, 113,  18,  56, 127,  15,  40, 112,  20,  42, 115,  21,  43, 117,  19,  42, 118,  19,  42, 119,  18,  42, 119,  19,  43, 121,  17,  45, 121,  18,  49, 124,  20,  52, 130,  19,  55, 133,  20,  55, 131,  18,  54, 128,  14,  49, 122,  11,  44, 115,  10,  41, 110,  10,  38, 104,   6,  34, 100,   5,  31,  97,
     5,  29,  98,   7,  30, 102,   7,  33, 107,  11,  37, 111,   8,  36, 110,   5,  35, 108,   4,  32, 107,   5,  31, 104,   5,  29, 101,   4,  26,  97,   4,  24,  92,   5,  20,  85,   4,  17,  81,   3,  15,  80,   3,  16,  81,   3,  16,  83,   3,  15,  85,   2,  16,  90,   3,  19,  95,   3,  19,  95,   3,  17,  95,
     3,  19,  94,   4,  19,  94,   2,  16,  91,   3,  14,  90,   2,  15,  87,   4,  15,  87,   3,  11,  84,   3,  11,  83,   3,  12,  82,   4,  10,  81,   2,  11,  81,   3,  12,  81,   2,  11,  81,   2,  10,  79,   4,   9,  81,   1,   7,  78,   2,   8,  80,   3,   6,  79,   2,   9,  78,   3,  11,  74,  12,  16,  70,
    39,  15,  67,  68,  19,  56,  82,  23,  33,  92,  24,  28, 101,  27,  15, 106,  25,   7, 108,  25,   4, 113,  28,   5, 116,  30,   4, 116,  30,   2, 114,  28,   2, 112,  26,   3,  44,  20,  30,  48,  24,  33,  52,  28,  37,  56,  32,  44,  62,  36,  51,  69,  42,  61,  74,  48,  74, 120, 152, 170, 236, 250, 253,
   251, 254, 254, 252, 254, 254, 254, 254, 254, 253, 254, 254, 244, 247, 248, 110, 130, 142,  80,  56,  78,  75,  47,  64,  77,  44,  55,  74,  40,  48,  74,  35,  41,  72,  30,  36,  71,  29,  36,  73,  31,  39,  72,  32,  41,  71,  32,  43,  71,  35,  46,  71,  35,  48,  71,  37,  50,  74,  38,  53,  75,  38,  53,
    79,  41,  55,  76,  39,  53,  77,  39,  51,  81,  39,  52,  86,  42,  52,  90,  44,  54,  96,  45,  54,  97,  45,  48,  98,  42,  41, 100,  43,  40, 100,  42,  38,  97,  41,  37,  96,  40,  38,  95,  43,  42,  94,  44,  43,  95,  45,  44,  95,  45,  45,  98,  48,  51,  98,  48,  53,  99,  50,  58, 100,  53,  64,
   104,  60,  72, 107,  65,  81, 107,  73,  93, 107, 104, 139, 103, 133, 187,  97, 133, 193, 104, 101, 141, 111,  65,  85, 110,  59,  77, 112,  59,  77, 117,  65,  81, 119,  66,  83, 120,  69,  87, 119,  70,  88, 119,  72,  91, 121,  78, 103, 122,  81, 117, 117,  92, 133, 111, 107, 149, 110, 117, 162, 108, 123, 176,
   105, 129, 183,  99, 128, 183,  95, 129, 181, 103, 125, 172, 115, 121, 163, 127, 120, 157, 134, 114, 151, 137, 108, 148, 139, 107, 143, 139, 107, 143, 145, 113, 148, 148, 115, 148, 149, 118, 148, 148, 116, 140, 150, 114, 131, 148, 112, 122, 148, 106, 113, 152, 109, 109, 159, 112, 103, 169, 117, 101, 173, 117,  92,
   175, 119,  86, 171, 115,  81, 170, 118,  92, 162, 126, 127, 159, 133, 154, 160, 138, 161, 162, 130, 145, 164, 115, 116, 165, 112, 113, 164, 110, 110, 162, 100,  97, 162,  96,  93, 160,  93,  88, 161,  90,  81, 161,  83,  69, 159,  79,  60, 159,  76,  54, 159,  75,  49, 161,  76,  52, 171,  86,  63, 179, 139, 137,
   187, 203, 234, 185, 217, 255, 183, 214, 255, 181, 210, 248, 169, 155, 170, 145,  74,  68, 121,  58,  64, 105,  51,  61,  94,  40,  47,  88,  31,  30,  96,  35,  36, 100,  42,  52,  81,  61,  98,  35,  86, 153,  35,  78, 131,  44,  97, 150,  19,  41,  70,  39,  96, 160,  19,  75, 142,  13,  74, 142,  35, 122, 193,
    24, 114, 189,  20, 112, 188,  14, 109, 190,  20, 133, 218,  21, 133, 217,  10,  95, 172,  13,  93, 168,  15,  92, 160,  12,  65, 123,   7,  34,  80,  12,  48,  89,  14,  58, 104,  19,  98, 172,  34, 141, 228,  33, 147, 238,  23, 142, 235,  12, 103, 194,   8,  92, 180,   8,  88, 173,   7,  89, 172,   5,  72, 152,
     9,  77, 154,  12,  80, 158,  11,  83, 161,  13,  86, 166,   7,  78, 156,  10,  68, 144,   7,  59, 134,   4,  59, 133,   7,  57, 132,   7,  44, 116,   7,  50, 123,   8,  83, 160,   9,  83, 162,   8,  65, 142,   7,  67, 139,   6,  54, 127,   4,  46, 118,   7,  56, 123,  10,  58, 128,   5,  34, 107,   6,  36, 110,
     8,  38, 117,  10,  41, 121,  12,  44, 125,   9,  43, 124,   8,  43, 124,   9,  44, 126,   7,  45, 128,   7,  47, 129,   9,  49, 129,  10,  53, 131,   7,  50, 127,   7,  48, 123,   6,  45, 119,   6,  43, 117,   6,  40, 112,   3,  33, 105,   4,  32, 105,   3,  32, 107,   5,  34, 109,   5,  35, 111,   4,  37, 113,
     4,  35, 111,   4,  36, 111,   3,  33, 109,   2,  31, 106,   2,  28, 101,   4,  26,  97,   3,  23,  91,   3,  20,  86,   2,  18,  83,   2,  16,  81,   3,  16,  80,   2,  13,  80,   3,  13,  82,   2,  17,  89,   3,  20,  94,   3,  19,  94,   4,  20,  95,   3,  19,  93,   4,  19,  94,   3,  17,  92,   2,  16,  91,
     4,  18,  93,   2,  13,  87,   3,  11,  86,   2,  11,  84,   3,  12,  84,   4,  11,  82,   3,   9,  81,   2,  12,  82,   3,  11,  80,   2,   8,  77,   3,   7,  77,   3,   8,  77,   2,   7,  76,   2,   6,  75,   2,   9,  76,   4,  12,  73,  21,  17,  70,  50,  17,  69,  74,  21,  51,  86,  25,  34,  96,  26,  27,
   104,  28,  14, 107,  27,   9, 111,  28,   5, 116,  30,   6, 117,  30,   4, 116,  30,   3, 115,  30,   5, 112,  28,   5,  46,  22,  34,  50,  26,  37,  56,  31,  42,  60,  34,  47,  65,  39,  53,  71,  45,  62,  81,  78, 100,  85, 199, 249, 122, 206, 248, 225, 247, 249, 246, 253, 254, 246, 252, 254, 242, 249, 251,
   141, 171, 179,  81,  64,  89,  81,  54,  77,  77,  50,  67,  77,  45,  56,  74,  40,  48,  76,  37,  44,  71,  31,  38,  74,  34,  41,  74,  34,  43,  70,  34,  44,  71,  35,  49,  72,  38,  52,  69,  39,  55,  70,  39,  58,  72,  39,  60,  79,  43,  67,  79,  45,  66,  81,  44,  65,  80,  45,  63,  83,  44,  60,
    88,  47,  62,  94,  51,  65,  97,  50,  61,  97,  48,  55,  97,  45,  46,  96,  43,  42,  97,  44,  41,  97,  44,  41,  94,  42,  40,  96,  46,  45,  97,  48,  47,  97,  47,  47,  98,  50,  51, 100,  51,  54, 100,  51,  57,  99,  52,  59,  99,  57,  66, 105,  63,  73, 112,  77,  91, 116, 147, 188, 111, 167, 230,
   110, 158, 222, 103, 156, 223,  99, 152, 220, 102, 114, 161, 109,  65,  81, 112,  64,  82, 117,  66,  83, 116,  66,  83, 117,  69,  86, 117,  70,  87, 118,  73,  90, 120,  76, 100, 121,  81, 116, 117,  90, 130, 111, 107, 147, 112, 113, 155, 113, 119, 166, 111, 125, 175, 110, 126, 174, 108, 122, 170, 116, 122, 164,
   123, 116, 157, 131, 112, 152, 135, 109, 148, 138, 104, 140, 136, 102, 137, 141, 107, 139, 143, 109, 139, 144, 112, 138, 151, 118, 140, 154, 121, 138, 153, 120, 133, 148, 114, 121, 150, 114, 119, 160, 128, 124, 173, 142, 129, 183, 148, 128, 186, 151, 112, 187, 156,  95, 181, 158, 102, 176, 166, 170, 165, 156, 173,
   155, 153, 175, 153, 156, 185, 153, 160, 194, 155, 155, 183, 163, 128, 140, 162, 121, 132, 160, 113, 120, 159, 106, 112, 155,  98,  99, 153,  92,  89, 152,  85,  78, 153,  80,  69, 147,  74,  56, 150,  74,  56, 156,  82,  67, 170, 142, 145, 178, 225, 255, 180, 217, 254, 183, 217, 253, 184, 219, 253, 180, 220, 254,
   175, 218, 251, 155, 162, 184, 121,  64,  79, 104,  54,  71,  88,  43,  55,  76,  28,  34,  80,  30,  36,  91,  43,  57,  62,  71, 119,  49,  98, 165, 118, 145, 198,  51,  60,  92,  17,   7,  25,  34,  70, 117,  21,  90, 160,  15,  87, 159,  42, 141, 217,  27, 122, 200,  15,  89, 164,  16, 117, 199,  21, 136, 220,
    30, 147, 231,  17, 122, 200,  10,  68, 131,   7,  22,  63,   5,   7,  36,   4,   6,  31,   3,   1,  21,   2,   1,  20,   5,  16,  47,  11,  87, 157,  19, 122, 213,   8, 120, 218,  10, 111, 204,   8,  92, 182,   9,  84, 171,  14,  92, 175,  17, 101, 184,  12,  82, 158,   8,  65, 141,   7,  72, 148,   7,  62, 133,
     6,  58, 131,   7,  65, 139,  10,  71, 148,   8,  64, 142,   8,  69, 148,   6,  60, 131,   6,  40, 110,   5,  45, 119,   7,  75, 154,   6,  81, 160,   7,  76, 153,   8,  62, 136,   4,  59, 132,  12,  78, 151,   7,  65, 137,   6,  37, 108,   7,  33, 106,   7,  39, 116,   4,  40, 123,   3,  40, 124,   5,  43, 126,
     4,  41, 125,   4,  42, 126,   4,  45, 128,   4,  46, 128,   4,  48, 130,   3,  49, 129,   7,  51, 129,   5,  49, 126,   6,  48, 122,   6,  46, 120,   3,  36, 112,   3,  34, 109,   3,  34, 109,   3,  34, 109,   3,  36, 111,   3,  37, 113,   3,  37, 113,   3,  36, 112,   2,  34, 110,   3,  34, 108,   3,  32, 106,
     2,  30, 101,   2,  26,  96,   3,  24,  90,   2,  19,  85,   3,  19,  82,   2,  16,  79,   2,  14,  76,   3,  14,  79,   3,  14,  80,   2,  16,  85,   3,  18,  89,   4,  18,  90,   3,  18,  90,   2,  21,  90,   3,  20,  91,   2,  18,  91,   3,  17,  91,   3,  15,  90,   3,  15,  89,   3,  12,  87,   3,  11,  83,
     3,  12,  82,   2,  11,  80,   3,  11,  79,   2,   9,  74,   2,  11,  75,   2,   9,  73,   2,   8,  73,   3,   5,  71,   4,   6,  73,   3,   6,  72,   2,   8,  71,   5,  14,  70,  25,  18,  66,  55,  18,  65,  77,  23,  48,  89,  27,  36,  96,  30,  29, 103,  29,  19, 105,  29,  13, 110,  31,  10, 116,  33,   9,
   120,  35,  10, 118,  33,   8, 115,  31,   8, 110,  28,  10,  47,  23,  34,  51,  26,  37,  59,  32,  44,  61,  36,  49,  65,  38,  52,  68,  42,  57,  88, 130, 157,  79, 185, 248,  85, 190, 245, 137, 215, 245, 175, 237, 247, 158, 228, 249, 111, 196, 229,  81,  67,  89,  82,  54,  80,  80,  50,  74,  78,  50,  67,
    80,  48,  61,  77,  43,  53,  74,  38,  47,  76,  37,  46,  77,  38,  48,  74,  37,  48,  71,  37,  49,  72,  39,  55,  71,  40,  59,  72,  41,  64,  72,  41,  67,  75,  43,  71,  77,  44,  75,  82,  48,  77,  82,  48,  77,  85,  50,  79,  86,  48,  72,  91,  52,  71,  93,  51,  67,  97,  53,  66,  94,  49,  58,
    93,  44,  50,  92,  42,  43,  93,  44,  43,  93,  43,  42,  93,  43,  41,  95,  46,  44,  98,  50,  49,  99,  50,  50, 100,  53,  53, 100,  56,  57,  99,  56,  59, 100,  56,  63, 107,  64,  71, 126,  87,  84, 136, 136, 150, 127, 174, 230, 117, 162, 220, 119, 167, 224, 113, 165, 228, 104, 160, 225,  97, 152, 218,
   107,  83, 107, 113,  67,  84, 116,  68,  85, 117,  68,  84, 116,  67,  84, 116,  67,  84, 117,  71,  89, 117,  74,  97, 121,  83, 115, 117,  91, 129, 112, 105, 145, 115, 113, 154, 114, 116, 161, 115, 125, 172, 114, 124, 169, 116, 121, 163, 120, 118, 157, 126, 111, 149, 133, 111, 150, 135, 105, 143, 138, 104, 138,
   141, 104, 134, 140, 105, 131, 141, 108, 132, 152, 126, 138, 190, 177, 165, 218, 218, 191, 219, 223, 191, 181, 177, 148, 158, 144, 146, 159, 144, 152, 176, 159, 142, 208, 207, 156, 239, 243, 205, 250, 255, 227, 250, 253, 235, 224, 230, 195, 178, 183, 167, 157, 164, 178, 155, 166, 194, 151, 169, 204, 151, 171, 209,
   158, 159, 186, 164, 142, 157, 161, 129, 143, 157, 118, 131, 155, 109, 120, 152,  97, 103, 149,  92,  92, 145,  82,  78, 141,  74,  64, 143,  75,  64, 150,  95,  89, 171, 213, 240, 171, 218, 254, 175, 221, 253, 177, 221, 253, 178, 223, 254, 176, 224, 254, 173, 223, 254, 156, 211, 243, 129,  95, 118, 102,  56,  83,
    87,  47,  68,  70,  30,  41,  73,  32,  43,  80,  55,  78,  60, 118, 178,  65, 129, 184, 120, 196, 236,  88,  86,  97,  27,  21,  44,  19,  68, 126,  17,  88, 159,  21,  99, 171,  40, 142, 221,  29, 127, 209,  14,  93, 171,  17, 133, 216,  32, 163, 245,  15, 138, 228,  10,  97, 170,   5,  17,  51,   3,  11,  41,
     8,  49, 101,  16,  25,  55,   4,   5,  35,   9,  15,  45,   8,  32,  73,  10,  53, 112,   6,  67, 142,   9, 119, 213,   7,  94, 184,  12, 108, 198,  14, 108, 194,   8,  80, 164,  11,  83, 165,  21, 101, 178,  11,  85, 162,  14,  94, 171,  12,  89, 167,   8,  78, 153,   6,  68, 143,   7,  75, 151,   6,  77, 154,
     5,  74, 152,   8,  73, 150,   5,  45, 118,   4,  56, 128,   8,  56, 131,   6,  71, 149,   9,  75, 155,   6,  77, 154,   7,  75, 151,  10,  76, 151,   7,  65, 138,   5,  42, 110,   3,  23,  93,   4,  34, 109,   3,  39, 117,   3,  37, 122,   4,  40, 125,   3,  39, 123,   3,  39, 122,   3,  40, 123,   3,  43, 124,
     3,  43, 124,   3,  45, 123,   2,  44, 122,   3,  45, 120,   3,  41, 115,   3,  38, 112,   3,  33, 108,   3,  34, 109,   4,  35, 109,   2,  34, 109,   3,  34, 109,   2,  33, 109,   3,  34, 109,   3,  34, 108,   3,  33, 106,   3,  32, 104,   3,  30, 100,   2,  26,  94,   4,  24,  91,   3,  21,  85,   3,  17,  80,
     2,  17,  76,   3,  14,  73,   3,  13,  73,   2,  11,  72,   3,  11,  74,   3,  15,  80,   3,  16,  83,   3,  17,  84,   3,  16,  83,   2,  16,  83,   2,  18,  86,   4,  17,  86,   3,  16,  85,   3,  15,  86,   3,  14,  85,   3,  13,  80,   3,  11,  80,   3,   9,  76,   2,   9,  73,   3,   9,  68,   4,   6,  64,
     4,   8,  64,   2,   6,  62,   3,   7,  63,   3,   6,  63,   2,   5,  61,   2,   5,  61,   4,   9,  64,   7,  13,  62,  26,  16,  63,  55,  16,  62,  72,  22,  42,  85,  27,  35,  94,  31,  32, 103,  34,  29, 108,  37,  28, 113,  38,  26, 117,  38,  21, 121,  39,  19, 117,  37,  17, 113,  34,  21, 106,  29,  20,
    47,  23,  34,  52,  27,  37,  57,  31,  40,  61,  34,  45,  67,  40,  50,  71,  43,  54,  94, 135, 157, 146, 214, 246, 238, 252, 251, 255, 255, 253, 253, 254, 253, 205, 245, 250,  92, 186, 225,  85,  64,  79,  82,  53,  76,  78,  49,  69,  77,  46,  63,  77,  44,  59,  77,  41,  53,  75,  40,  51,  74,  39,  51,
    76,  40,  51,  75,  40,  53,  71,  37,  54,  69,  36,  58,  68,  38,  62,  71,  42,  69,  74,  43,  73,  76,  44,  77,  80,  47,  81,  83,  51,  84,  84,  51,  85,  86,  53,  87,  88,  51,  80,  90,  52,  75,  94,  54,  70,  94,  54,  66,  92,  50,  62,  88,  45,  53,  86,  42,  45,  85,  42,  43,  87,  44,  43,
    90,  43,  40,  95,  48,  45,  99,  54,  49,  99,  54,  50, 100,  56,  53, 101,  57,  57, 102,  62,  60, 112,  69,  68, 136,  95,  77, 148, 105,  90, 139, 173, 208, 128, 172, 224, 128, 173, 224, 124, 172, 227, 122, 173, 231, 110, 166, 228, 101, 156, 222, 103, 107, 146, 112,  66,  82, 113,  69,  85, 114,  66,  81,
   115,  67,  83, 115,  67,  82, 116,  70,  86, 117,  75,  96, 117,  82, 114, 117,  91, 126, 112, 102, 141, 114, 110, 151, 117, 117, 159, 116, 121, 166, 117, 123, 164, 117, 121, 160, 120, 114, 152, 128, 109, 148, 132, 105, 143, 136, 103, 138, 138, 103, 136, 138, 103, 130, 138, 104, 127, 159, 139, 139, 239, 241, 222,
   255, 255, 255, 255, 255, 255, 254, 255, 255, 252, 255, 253, 204, 215, 198, 144, 147, 131, 218, 218, 173, 255, 255, 254, 254, 254, 255, 254, 253, 255, 254, 253, 255, 253, 254, 254, 242, 247, 231, 174, 190, 180, 155, 173, 198, 147, 173, 211, 149, 177, 217, 152, 179, 213, 167, 156, 175, 166, 148, 170, 161, 134, 158,
   158, 124, 144, 151, 110, 124, 146, 103, 113, 139,  91,  94, 138,  82,  80, 139,  85,  84, 147, 130, 137, 163, 228, 255, 165, 220, 252, 168, 223, 252, 173, 229, 253, 175, 228, 253, 170, 226, 253, 169, 225, 254, 147, 212, 245, 127, 130, 163,  98,  58,  96,  86,  47,  81,  65,  32,  50,  67,  40,  61,  71, 125, 185,
    65, 156, 220,  32,  96, 138,  30, 169, 231,  13,  22,  42,  20,  46,  81,  14,  81, 151,  11,  82, 152,  16, 105, 180,  36, 145, 228,  25, 122, 203,  13,  87, 164,  26, 149, 228,  35, 167, 244,  16, 126, 205,   5,  29,  76,   3,   5,  34,   8,  77, 144,  34, 161, 228,  68,  80, 106,  14,  24,  52,  75, 108, 145,
     6,  92, 145,   8, 172, 242,   6,  67, 144,   7,  86, 171,  11,  91, 174,   9,  81, 165,  11,  90, 172,  13,  91, 170,  10,  86, 163,   9,  75, 150,  16,  90, 169,  15,  96, 175,   9,  81, 159,   5,  74, 149,   4,  63, 138,   8,  68, 142,   6,  71, 146,   9,  81, 157,   6,  63, 138,   7,  61, 137,   4,  53, 126,
     5,  57, 131,   8,  68, 144,   7,  67, 143,   6,  62, 139,   6,  55, 132,   5,  63, 138,   8,  61, 133,  10,  59, 129,   6,  31, 100,   4,  27,  99,   3,  32, 109,   3,  35, 115,   3,  36, 118,   2,  35, 118,   4,  33, 116,   2,  34, 115,   3,  36, 114,   3,  36, 114,   3,  36, 112,   3,  36, 110,   2,  34, 108,
     2,  34, 108,   3,  32, 105,   3,  29, 102,   2,  30, 102,   2,  30, 103,   2,  30, 102,   3,  31, 103,   3,  33, 104,   2,  31, 103,   3,  31, 101,   2,  29,  98,   3,  29,  97,   2,  25,  91,   3,  25,  89,   4,  24,  85,   3,  22,  80,   3,  18,  77,   4,  15,  72,   2,  14,  71,   3,  13,  70,   3,  10,  68,
     3,  10,  70,   3,  12,  72,   2,  13,  72,   2,  12,  70,   3,  15,  74,   3,  15,  74,   2,  14,  75,   3,  15,  77,   2,  14,  77,   3,  14,  78,   3,  10,  75,   4,  10,  74,   2,   8,  66,   3,   7,  54,   3,   4,  40,   2,   4,  35,   3,   4,  33,   3,   3,  30,   4,   5,  34,   2,   3,  29,   2,   3,  29,
     2,   3,  31,   3,   4,  29,   2,   4,  35,   4,   5,  35,   9,   7,  29,  15,   5,  22,  22,   7,  23,  37,  12,  24,  60,  18,  25,  73,  25,  30,  85,  35,  35,  96,  45,  45, 100,  42,  40, 101,  29,  21, 108,  33,  23, 109,  37,  31,  94,  32,  35,  47,  24,  34,  54,  30,  40,  59,  33,  42,  64,  36,  45,
    67,  40,  45,  75,  46,  53, 152, 146, 132, 255, 255, 252, 255, 254, 254, 253, 254, 254, 253, 254, 253, 255, 254, 253, 174, 209, 197,  88,  66,  78,  82,  53,  71,  81,  49,  67,  80,  47,  64,  82,  47,  66,  81,  45,  62,  79,  43,  59,  78,  42,  56,  77,  42,  55,  75,  41,  56,  71,  41,  59,  65,  35,  60,
    65,  35,  60,  72,  42,  70,  72,  43,  74,  75,  45,  78,  78,  46,  80,  83,  51,  86,  86,  53,  88,  87,  56,  90,  89,  55,  87,  92,  56,  83,  89,  53,  73,  88,  53,  68,  86,  48,  61,  81,  41,  52,  77,  39,  45,  78,  41,  43,  82,  44,  40,  90,  54,  42,  98,  80,  35, 104, 103,  31, 104,  95,  34,
   109,  78,  48, 112,  71,  59, 110,  70,  62, 131,  90,  68, 143, 101,  78, 150, 108,  91, 141, 184, 219, 134, 175, 227, 134, 179, 227, 131, 179, 231, 127, 177, 232, 116, 171, 233, 104, 159, 226, 105, 112, 151, 111,  65,  83, 111,  66,  83, 112,  66,  83, 112,  65,  81, 115,  68,  85, 114,  70,  87, 117,  77,  99,
   117,  84, 115, 114,  90, 124, 111,  99, 138, 115, 107, 149, 115, 114, 155, 118, 120, 162, 120, 122, 161, 119, 118, 156, 120, 112, 149, 125, 105, 140, 129, 103, 137, 135, 105, 139, 134, 112, 145, 130, 114, 148, 128, 131, 153, 230, 233, 218, 254, 255, 255, 253, 254, 253, 253, 254, 254, 253, 254, 253, 252, 254, 253,
   249, 252, 247, 198, 216, 146, 255, 255, 253, 253, 253, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 253, 254, 253, 251, 254, 252, 226, 235, 216, 157, 180, 199, 141, 179, 219, 146, 184, 226, 152, 189, 224, 167, 167, 187, 164, 164, 183, 164, 156, 178, 162, 141, 169, 157, 124, 151, 147, 115, 130, 140, 101, 111,
   136,  92, 100, 136,  96, 104, 148, 146, 160, 160, 224, 255, 160, 219, 252, 167, 225, 253, 171, 229, 252, 174, 231, 253, 171, 229, 253, 166, 227, 253, 153, 216, 248, 126, 138, 173,  97,  59, 102,  84,  50,  90,  59,  35,  61,  59,  53,  84,  72, 148, 213,  63, 144, 198,   7,  42,  80,  13, 165, 240,  20, 134, 195,
    24, 151, 225,  13,  80, 154,  14,  88, 160,  17, 109, 185,  34, 148, 225,  16, 100, 183,  24, 113, 190,  29, 165, 243,  24, 149, 224,  10,  54, 111,   3,   5,  46,   4,  19,  60,  12, 119, 199,  43, 191, 239,  37,  52,  78,  18,  25,  62,  11,  48,  89,   9, 165, 230,  14, 179, 242,  18, 117, 200,   9,  76, 151,
     3,  36, 106,   5,  32, 100,   6,  26,  85,   7,  27,  86,   9,  51, 117,  19,  95, 171,  27, 115, 199,  13,  97, 176,   8,  75, 151,   6,  49, 120,   7,  47, 117,   4,  62, 136,   8,  70, 144,   3,  64, 139,   8,  71, 147,   6,  66, 141,   7,  50, 124,   5,  56, 128,   9,  59, 131,   5,  52, 126,   4,  58, 133,
     3,  53, 129,   5,  58, 134,   9,  56, 130,   5,  46, 114,   8,  43, 111,   5,  24,  92,   4,  32, 103,   3,  34, 106,   3,  32, 109,   2,  30, 107,   3,  32, 106,   3,  31, 105,   3,  30, 102,   4,  31, 102,   3,  28,  99,   3,  28,  98,   3,  28,  95,   3,  27,  94,   3,  27,  94,   3,  26,  94,   3,  26,  93,
     3,  26,  93,   3,  27,  94,   3,  27,  94,   3,  28,  94,   3,  28,  92,   3,  27,  90,   3,  26,  89,   2,  25,  86,   2,  25,  84,   4,  22,  81,   3,  20,  76,   3,  18,  73,   3,  19,  72,   3,  15,  70,   3,  16,  71,   3,  15,  68,   4,  13,  66,   3,  10,  64,   2,  11,  65,   4,  11,  64,   4,  11,  62,
     3,  12,  63,   3,  15,  66,   2,  14,  65,   3,  12,  62,   4,  12,  61,   3,  10,  55,   3,   7,  43,   2,   3,  30,   2,   3,  20,   2,   3,  16,   2,   2,  13,   1,   1,  13,   2,   3,  13,   1,   2,  11,   1,   2,   9,   1,   2,   9,   1,   2,   8,   2,   2,   8,   2,   1,   8,   1,   2,   6,   1,   2,   6,
     1,   2,   7,   0,   2,   4,   0,   1,   5,   0,   1,   6,   0,   1,   7,   1,   2,   9,   0,   1,   8,   0,   0,   7,   3,   3,  13,  20,   9,  21,  20,   8,  18,  23,  10,  23,  34,  12,  25,  52,  29,  39,  57,  32,  42,  61,  36,  44,  67,  39,  45,  71,  40,  45,  79,  49,  47, 229, 223, 192, 252, 253, 253,
   254, 254, 254, 254, 254, 254, 254, 254, 254, 253, 254, 254, 237, 244, 213,  90,  78,  62,  85,  54,  70,  83,  50,  68,  81,  49,  69,  85,  50,  74,  85,  48,  73,  80,  42,  63,  77,  40,  57,  76,  40,  56,  73,  39,  56,  67,  37,  57,  61,  30,  53,  60,  31,  56,  64,  36,  63,  69,  41,  71,  72,  43,  77,
    78,  46,  81,  80,  49,  84,  85,  52,  87,  88,  55,  90,  85,  52,  86,  83,  50,  81,  78,  46,  73,  79,  46,  68,  75,  43,  60,  70,  37,  50,  66,  36,  44,  69,  39,  44,  88,  65,  40, 120, 143,  18, 141, 188,   3, 150, 198,   2, 154, 193,   3, 158, 171,   4, 162, 132,  57, 157, 117,  66, 147, 105,  70,
   151, 111,  81, 155, 111,  90, 144, 170, 190, 134, 178, 230, 135, 181, 230, 134, 182, 231, 128, 179, 234, 116, 172, 233, 102, 158, 222, 104,  98, 133, 108,  62,  79, 108,  64,  81, 108,  63,  79, 111,  65,  81, 114,  69,  86, 116,  74,  92, 118,  79, 105, 118,  86, 121, 115,  92, 128, 112,  98, 137, 113, 104, 145,
   113, 111, 151, 117, 117, 157, 118, 118, 158, 120, 117, 156, 121, 108, 147, 125, 104, 139, 126, 108, 142, 125, 120, 156, 122, 121, 154, 115, 126, 162, 145, 173, 188, 255, 255, 255, 252, 254, 253, 250, 254, 254, 249, 254, 253, 250, 254, 253, 249, 254, 253, 249, 253, 252, 252, 255, 247, 251, 253, 254, 254, 254, 254,
   254, 254, 254, 253, 253, 253, 254, 254, 254, 253, 253, 253, 253, 254, 253, 247, 250, 242, 169, 196, 194, 142, 181, 219, 147, 187, 229, 155, 191, 227, 169, 179, 200, 170, 175, 198, 167, 167, 189, 162, 150, 177, 160, 134, 165, 152, 122, 145, 142, 112, 127, 136, 103, 116, 137, 104, 119, 141, 123, 141, 158, 223, 252,
   159, 221, 254, 161, 223, 253, 170, 229, 253, 172, 229, 253, 172, 229, 254, 168, 228, 253, 147, 214, 247, 125, 126, 164, 100,  67, 108,  84,  55,  94,  58,  38,  69,  49,  46,  79,  43, 101, 160,  69, 151, 214,   5,  21,  55,  10,  91, 153,  20, 152, 228,  24, 128, 208,  24, 101, 179,  13,  92, 168,  22, 119, 199,
    12, 107, 191,  11,  98, 180,  13, 123, 206,  32, 179, 249,  15,  95, 165,   2,   6,  55,   3,   6,  47,   6,  19,  62,   7, 101, 181,   4, 170, 250,  10, 112, 167,   7,  38,  84,  14, 145, 207,   5, 170, 247,  19, 131, 207,  44, 182, 247,  26, 135, 219,   9,  94, 174,   9,  71, 145,   6,  29,  90,   4,   8,  56,
     4,   7,  45,   4,  30,  80,   9,  74, 147,   8,  86, 165,   7,  73, 147,   5,  40, 110,   7,  45, 113,   9,  56, 130,   8,  79, 152,   8,  65, 138,  12,  80, 153,   5,  66, 138,   4,  58, 129,   4,  45, 114,   6,  54, 123,   6,  61, 133,   6,  62, 136,   6,  64, 141,  10,  76, 152,   9,  63, 138,   6,  53, 123,
    15,  62, 131,   4,  21,  87,   4,  21,  85,   4,  27,  92,   3,  26,  92,   4,  26,  93,   4,  23,  90,   4,  24,  89,   3,  24,  86,   4,  22,  84,   3,  23,  84,   3,  19,  79,   3,  18,  78,   3,  18,  77,   4,  20,  79,   3,  19,  78,   2,  19,  77,   3,  19,  76,   3,  21,  77,   3,  21,  77,   4,  22,  79,
     4,  22,  78,   3,  20,  74,   5,  17,  73,   4,  19,  73,   3,  19,  72,   4,  18,  71,   4,  16,  68,   1,  14,  65,   2,  17,  67,   3,  15,  66,   3,  16,  68,   2,  16,  66,   2,  13,  62,   3,  13,  61,   3,  13,  58,   3,  11,  54,   3,  10,  50,   4,  12,  51,   3,  11,  50,   4,   9,  45,   3,   6,  37,
     4,   6,  28,   4,   2,  16,   2,   2,  16,   1,   1,  13,   2,   2,  11,   2,   2,  11,   1,   2,   8,   1,   1,   9,   1,   1,  10,   1,   1,   7,   1,   2,   7,   1,   2,   6,   1,   2,   5,   0,   2,   4,   1,   1,   5,   1,   2,   5,   1,   1,   5,   1,   2,   6,   1,   1,   5,   1,   2,   6,   1,   2,   6,
     0,   1,   5,   1,   1,   6,   2,   2,   5,   1,   2,   5,   2,   2,   4,   0,   1,   3,   0,   1,   6,   1,   1,   6,   0,   2,   4,  55,  30,  43,  60,  35,  47,  65,  38,  47,  70,  41,  46,  72,  41,  45,  87,  56,  45, 248, 245, 219, 253, 254, 253, 254, 254, 254, 254, 255, 254, 254, 254, 254, 254, 254, 254,
   252, 252, 240,  98,  94,  58,  84,  50,  65,  84,  48,  65,  85,  49,  71,  85,  48,  74,  84,  48,  74,  81,  43,  68,  76,  38,  58,  75,  38,  55,  72,  37,  54,  66,  33,  53,  59,  30,  49,  54,  24,  48,  58,  30,  54,  61,  34,  62,  67,  39,  71,  72,  42,  77,  77,  44,  81,  80,  47,  83,  84,  52,  87,
    83,  51,  86,  78,  48,  78,  70,  43,  71,  68,  38,  66,  65,  38,  61,  59,  30,  51,  55,  31,  44,  69,  49,  42, 126, 152,  15, 143, 189,   1, 155, 197,   2, 193, 218,   4, 212, 229,   3, 197, 210,   3, 190, 171,  23, 190, 144,  68, 179, 133,  64, 158, 117,  83, 158, 118,  92, 150, 134, 125, 138, 186, 234,
   132, 179, 230, 131, 183, 233, 118, 173, 232, 109, 166, 231,  98, 144, 204, 102,  68,  86, 105,  59,  77, 106,  61,  77, 109,  64,  80, 112,  67,  83, 115,  71,  89, 116,  75,  96, 118,  80, 110, 116,  87, 125, 114,  97, 135, 110, 100, 140, 113, 107, 147, 112, 109, 150, 116, 116, 156, 116, 116, 154, 121, 116, 151,
   123, 111, 146, 123, 106, 140, 120, 122, 158, 119, 123, 160, 107, 128, 169, 100, 137, 184, 182, 206, 215, 253, 255, 255, 249, 253, 253, 249, 254, 253, 250, 254, 253, 248, 254, 253, 249, 254, 253, 248, 253, 252, 252, 253, 254, 252, 254, 254, 253, 253, 253, 253, 253, 253, 253, 254, 254, 253, 253, 253, 254, 254, 254,
   254, 254, 253, 248, 251, 249, 186, 206, 190, 147, 181, 216, 147, 187, 228, 158, 187, 219, 172, 182, 203, 173, 179, 204, 171, 172, 194, 167, 155, 180, 161, 136, 168, 155, 125, 153, 144, 115, 137, 140, 110, 132, 137, 107, 129, 138, 110, 134, 152, 179, 204, 158, 222, 254, 165, 226, 253, 171, 227, 253, 171, 227, 253,
   170, 227, 253, 168, 225, 252, 152, 198, 232, 125, 100, 140, 111,  83, 124,  87,  59,  96,  61,  48,  77,  49,  55,  88,  24,  47,  87,  36,  89, 145,  34,  88, 146,   9,  25,  64,  10,  38,  82,  22,  99, 174,  18,  99, 181,  22, 114, 197,  22, 134, 222,  19, 134, 221,  10, 105, 188,  10, 108, 191,  33, 161, 231,
     6,  51, 121,   7,  24,  79,   3,   2,  42,  11,  22,  69,  21,  80, 146,   7, 164, 239,   5, 192, 253,  12, 191, 255,   7, 174, 249,  21, 141, 222,  56, 175, 229,  27, 116, 197,  10,  94, 177,  17, 104, 187,   5,  56, 129,   5,  47, 116,   6,  35,  92,   3,   5,  40,   4,   2,  34,   5,  16,  57,   5,  47, 108,
     5,  58, 125,  11,  79, 154,  22,  99, 181,  11,  75, 151,   9,  70, 143,   7,  49, 116,   4,  39, 109,   8,  50, 119,   8,  57, 125,   5,  32, 102,   3,  42, 113,   6,  62, 133,   4,  57, 132,   5,  66, 143,   6,  72, 147,   5,  61, 134,   9,  59, 129,   7,  48, 115,  10,  54, 117,   4,  13,  72,   4,  19,  73,
     6,  20,  75,   4,  19,  73,   5,  19,  73,   3,  18,  69,   3,  18,  70,   3,  16,  68,   3,  13,  65,   2,  11,  63,   3,  10,  61,   3,  10,  60,   3,  11,  60,   3,  11,  59,   3,  12,  59,   3,  12,  59,   2,  15,  63,   3,  14,  62,   4,  14,  62,   4,  17,  66,   4,  16,  65,   5,  15,  63,   4,  13,  61,
     5,  17,  63,   5,  14,  61,   4,  13,  60,   4,  15,  62,   5,  17,  63,   3,  20,  66,   5,  20,  67,   3,  15,  59,   4,  12,  55,   3,  15,  54,   3,  13,  50,   3,   8,  40,   4,   7,  37,   4,   7,  36,   4,   6,  31,   3,   3,  25,   3,   3,  22,   2,   3,  16,   1,   2,  13,   1,   2,   8,   2,   3,   9,
     2,   2,   8,   1,   2,   7,   1,   2,   8,   2,   3,   9,   3,   3,  10,   1,   2,   6,   1,   2,   9,   1,   1,   5,   1,   2,   6,   2,   2,   4,   2,   3,   4,   1,   2,   4,   1,   2,   5,   1,   2,   7,   1,   1,   7,   1,   1,   6,   1,   2,   5,   2,   2,   7,   1,   2,   8,   1,   2,   5,   1,   2,   6,
     1,   2,   4,   2,   2,   4,   1,   1,   6,   1,   1,   6,   2,   2,   7,  55,  32,  46,  60,  35,  48,  62,  37,  49,  67,  41,  46,  69,  39,  44,  78,  47,  44, 230, 227, 196, 253, 254, 253, 254, 254, 253, 254, 254, 253, 254, 255, 254, 254, 254, 254, 241, 245, 215,  92,  77,  54,  84,  50,  63,  84,  47,  64,
    85,  48,  72,  85,  49,  76,  84,  47,  74,  81,  43,  70,  75,  37,  59,  70,  34,  51,  66,  32,  48,  62,  29,  46,  57,  25,  42,  52,  23,  40,  54,  26,  47,  59,  30,  57,  65,  37,  68,  71,  41,  75,  77,  44,  81,  80,  48,  83,  78,  46,  80,  80,  51,  82,  72,  45,  74,  65,  40,  69,  58,  36,  63,
    53,  32,  60,  50,  28,  55,  50,  29,  54,  97, 101,  44, 137, 176,  10, 143, 184,   2, 166, 206,   2, 211, 226,   2, 212, 231,   7, 207, 228,   5, 191, 192,   4, 193, 159,  65, 189, 143,  69, 168, 127,  80, 158, 119,  92, 155, 117,  95, 149, 154, 165, 138, 185, 230, 131, 181, 230, 117, 170, 229,  97, 147, 209,
    92,  91, 120,  97,  55,  74,  97,  56,  73, 103,  59,  75, 107,  64,  81, 112,  68,  85, 113,  70,  92, 115,  75, 103, 118,  82, 117, 114,  92, 130, 111,  98, 138, 112, 105, 146, 111, 109, 149, 112, 113, 153, 114, 113, 154, 116, 115, 153, 119, 114, 150, 122, 110, 143, 120, 113, 147, 120, 130, 170, 114, 135, 178,
   101, 143, 192,  99, 149, 199, 173, 206, 220, 255, 255, 255, 250, 254, 253, 250, 254, 253, 250, 253, 253, 249, 254, 253, 250, 254, 253, 249, 254, 253, 252, 254, 254, 253, 254, 254, 253, 253, 253, 253, 253, 253, 253, 254, 254, 252, 254, 254, 254, 254, 254, 254, 254, 253, 249, 251, 245, 181, 202, 183, 144, 177, 210,
   143, 177, 214, 160, 174, 195, 169, 177, 198, 170, 176, 200, 170, 171, 192, 165, 156, 180, 160, 136, 168, 154, 125, 154, 147, 117, 143, 141, 111, 137, 137, 107, 132, 137, 106, 132, 138, 117, 143, 157, 201, 224, 168, 221, 250, 170, 223, 250, 170, 223, 250, 170, 220, 248, 171, 201, 231, 155, 136, 164, 137, 102, 141,
   123,  89, 129,  96,  64,  98,  68,  50,  80,  54,  58,  93,  24,  48,  85,  16,  43,  87,  39, 101, 166,  39, 123, 200,  26, 103, 171,  32, 118, 199,  35, 137, 219,  26, 136, 223,  24, 141, 232,  23, 143, 235,  16, 131, 218,  11,  75, 150,  10,  59, 123,   9,  40, 105,   7,  40, 102,   6,  12,  56,  24,  47,  91,
    12,  37,  93,  19,  76, 138,  14, 118, 183,  12, 116, 190,  17, 108, 184,  30, 112, 181,   3,  62, 132,   5,  51, 121,   6,  65, 139,   6,  70, 146,   4,  35, 109,   6,  45, 120,  11,  95, 175,  11,  55, 122,   5,  27,  77,   2,   6,  45,   2,   4,  45,   4,  17,  63,   8,  57, 124,  15,  78, 152,   8,  53, 121,
    10,  49, 113,   8,  33,  82,   4,  11,  57,   4,  10,  60,   5,  17,  74,   6,  46, 111,   6,  45, 113,   5,  53, 126,   6,  63, 139,   8,  68, 144,   6,  61, 135,   7,  46, 119,   7,  50, 120,  11,  55, 122,   7,  45, 107,  10,  37,  93,   7,  17,  63,  10,  19,  62,   9,  17,  61,   9,  17,  60,   6,  16,  61,
     6,  15,  58,   4,   9,  54,   3,  10,  55,   4,   9,  53,   2,   7,  48,   3,   7,  48,   3,   7,  46,   3,   6,  45,   5,  10,  49,   6,  10,  49,   5,  10,  49,   6,  11,  51,  10,  14,  57,  10,  16,  60,   8,  15,  59,  12,  18,  59,   8,  13,  55,  10,  14,  56,   6,  12,  54,   8,  15,  56,   6,  16,  58,
     8,  19,  61,   7,  20,  63,   5,  15,  56,   5,  11,  47,   2,   7,  41,   3,   5,  35,   3,   4,  32,   5,   5,  29,   4,   6,  29,   3,   5,  26,   4,   4,  18,   2,   2,  16,   2,   3,  14,   2,   3,  12,   2,   2,  12,   1,   2,   8,   1,   2,   8,   2,   2,  10,   1,   3,   8,   2,   2,   7,   1,   2,   8,
     1,   2,  10,   1,   1,   9,   2,   3,  10,   1,   1,   6,   1,   2,   8,   1,   2,   8,   1,   3,   8,   1,   2,   6,   1,   2,   5,   2,   2,   7,   1,   2,   6,   1,   2,   7,   2,   2,   8,   1,   2,   7,   1,   2,   7,   1,   1,   6,   2,   2,   6,   1,   1,   7,   1,   1,   8,   1,   1,   8,   1,   1,   7,
     2,   2,  10,  53,  31,  52,  58,  33,  50,  63,  38,  53,  65,  39,  51,  66,  39,  46,  71,  43,  49, 164, 151, 120, 250, 251, 249, 254, 255, 254, 253, 254, 254, 253, 254, 253, 252, 254, 251, 191, 200, 143,  88,  56,  68,  83,  48,  63,  83,  45,  68,  85,  47,  72,  84,  44,  72,  82,  43,  72,  79,  42,  68,
    71,  36,  59,  66,  30,  47,  63,  27,  42,  58,  24,  39,  54,  19,  33,  50,  19,  34,  50,  22,  40,  54,  26,  50,  59,  33,  61,  71,  42,  74,  75,  43,  77,  75,  42,  78,  74,  42,  75,  73,  44,  76,  66,  41,  70,  57,  36,  64,  51,  33,  61,  46,  31,  59,  44,  27,  56,  49,  33,  58, 124, 135,  52,
   135, 178,   7, 152, 194,   3, 184, 213,   3, 210, 229,   4, 214, 231,  21, 213, 231,  22, 193, 205,   3, 193, 162,  57, 194, 152,  76, 171, 128,  78, 148, 112,  90, 148, 113,  93, 147, 112,  98, 139, 125, 119, 126, 133, 151, 109, 122, 162,  90,  84, 112,  87,  54,  78,  90,  54,  74,  92,  54,  71,  98,  55,  73,
   107,  64,  84, 110,  66,  87, 113,  71,  98, 117,  79, 111, 118,  88, 126, 114,  96, 136, 114, 105, 146, 113, 110, 150, 113, 112, 153, 116, 116, 156, 117, 116, 156, 117, 117, 152, 123, 116, 151, 123, 112, 145, 124, 120, 155, 119, 136, 181, 115, 145, 192, 107, 154, 206, 102, 162, 219, 131, 190, 225, 253, 254, 252,
   251, 254, 253, 251, 254, 254, 251, 254, 253, 251, 254, 253, 251, 253, 253, 251, 253, 252, 249, 251, 235, 253, 253, 254, 253, 254, 254, 254, 254, 254, 253, 253, 253, 253, 254, 254, 253, 253, 253, 252, 253, 252, 243, 246, 218, 174, 188, 158, 149, 167, 178, 153, 160, 176, 159, 165, 183, 164, 168, 188, 165, 165, 188,
   165, 164, 187, 163, 151, 177, 160, 135, 164, 152, 123, 152, 144, 115, 140, 139, 109, 135, 137, 107, 132, 133, 101, 127, 132, 100, 125, 141, 115, 140, 156, 156, 185, 161, 174, 200, 167, 182, 204, 162, 164, 187, 158, 123, 139, 150, 107, 126, 141, 102, 129, 127,  86, 118,  99,  61,  85,  75,  48,  74,  62,  65, 100,
    40,  64, 104,  15,  41,  82,  14,  55, 107,  30, 118, 192,  50, 169, 243,  43, 167, 240,  49, 175, 246,  29, 151, 241,  17, 134, 227,  13, 129, 222,   7, 105, 192,   9,  50, 113,   5,  14,  59,  11,  48, 114,   9,  49, 117,  10,  63, 129,  15,  77, 145,  17,  81, 149,  17,  74, 135,  24,  89, 151,  19,  71, 130,
     8,  43,  97,   7,  39,  99,   8,  61, 127,   5,  50, 120,   7,  56, 127,   7,  66, 142,   5,  76, 152,  10,  93, 175,  22, 126, 217,  14, 128, 223,  15, 111, 194,   6,  39,  96,   4,   8,  49,   2,   3,  37,   6,  29,  78,  14,  87, 163,  16,  94, 175,  13,  78, 150,   9,  28,  76,   4,  10,  57,   4,  14,  69,
     4,  23,  80,   4,  36, 101,   6,  53, 121,   7,  59, 131,  10,  73, 145,   5,  67, 142,  10,  66, 140,   8,  57, 127,   9,  51, 119,   6,  54, 121,  11,  54, 117,  15,  59, 119,  11,  20,  63,  16,  22,  62,  12,  18,  56,  12,  17,  53,  10,  14,  53,   8,  12,  51,   7,  12,  51,   4,  10,  49,   5,   8,  47,
     3,   6,  41,   4,   4,  38,   2,   5,  39,   3,   6,  40,   2,   7,  40,   4,   6,  40,   5,   9,  44,   8,  10,  50,  12,  18,  56,  11,  17,  59,  14,  19,  62,   8,  10,  49,  11,  12,  50,  11,  14,  50,  10,  13,  49,   6,  11,  47,   7,  14,  50,   4,  13,  48,   4,   8,  39,   3,   5,  34,   4,   6,  34,
     3,   3,  25,   2,   3,  23,   4,   4,  23,   5,   6,  24,   6,   9,  27,   3,   3,  17,   5,   5,  20,   3,   4,  16,   1,   2,  11,   2,   2,  12,   2,   3,  10,   0,   3,   7,   3,   3,  10,   1,   2,   8,   1,   2,   7,   1,   2,  10,   2,   3,  10,   1,   3,   8,   2,   2,   9,   1,   2,  10,   1,   3,  11,
     1,   3,  11,   1,   2,  10,   2,   3,   9,   2,   2,   8,   1,   1,   6,   1,   2,   6,   1,   2,   7,   1,   2,   5,   2,   2,   8,   1,   2,   7,   2,   2,   9,   2,   4,  14,   1,   3,   9,   2,   3,   8,   2,   3,  11,   1,   3,   9,   2,   2,   8,   1,   1,   6,  56,  34,  61,  60,  36,  62,  66,  39,  63,
    69,  42,  63,  68,  42,  57,  71,  45,  58,  82,  58,  65, 198, 193, 170, 245, 245, 241, 249, 249, 245, 249, 250, 247, 231, 236, 217, 107, 100,  87,  85,  54,  74,  85,  48,  70,  85,  47,  73,  83,  44,  72,  79,  41,  72,  74,  40,  70,  70,  36,  63,  67,  33,  58,  60,  26,  40,  57,  22,  34,  53,  17,  30,
    53,  17,  31,  49,  17,  32,  51,  22,  38,  53,  25,  45,  58,  30,  55,  70,  39,  68,  70,  38,  68,  69,  37,  66,  71,  38,  66,  71,  39,  67,  62,  35,  62,  57,  35,  63,  51,  31,  60,  46,  29,  59,  48,  31,  62,  51,  33,  63, 129, 139,  62, 138, 178,  11, 153, 195,   2, 188, 216,   5, 212, 228,  12,
   213, 232,  25, 213, 232,  25, 191, 203,   4, 196, 161,  61, 191, 140,  65, 168, 128,  78, 129, 100,  86, 129, 100,  91, 128, 102,  95, 120,  93,  97, 101,  75,  97,  92,  66,  95,  84,  57,  89,  83,  52,  82,  83,  50,  76,  90,  53,  76,  99,  59,  81, 107,  66,  90, 115,  74, 102, 120,  77, 113, 120,  83, 123,
   117,  92, 133, 115,  98, 140, 112, 102, 144, 114, 110, 152, 113, 111, 153, 116, 116, 156, 119, 117, 157, 117, 112, 152, 121, 113, 149, 121, 112, 144, 125, 117, 152, 121, 141, 189, 121, 156, 202, 119, 166, 217, 112, 179, 232, 115, 190, 241, 208, 235, 245, 253, 254, 254, 253, 253, 254, 253, 254, 254, 251, 254, 254,
   252, 254, 254, 248, 250, 242, 211, 223, 146, 251, 251, 233, 253, 254, 254, 253, 253, 255, 254, 254, 255, 253, 253, 254, 252, 253, 254, 250, 251, 241, 219, 220, 140, 167, 165, 113, 161, 155, 147, 155, 154, 165, 159, 157, 173, 161, 159, 177, 162, 155, 178, 163, 152, 176, 162, 143, 168, 157, 129, 158, 146, 116, 142,
   138, 107, 133, 132, 102, 126, 133, 100, 126, 132,  98, 123, 131,  93, 119, 137, 103, 130, 144, 112, 147, 149, 112, 143, 150, 111, 134, 152, 107, 123, 152, 107, 122, 152, 106, 122, 146, 100, 117, 130,  83, 100, 101,  55,  66,  75,  39,  56,  66,  53,  85,  36,  56,  93,  12,  40,  83,  21,  98, 171,  31, 160, 242,
    24, 156, 241,  38, 178, 247,  31, 157, 235,  26, 145, 232,   8, 111, 203,   5,  94, 179,   6,  79, 157,   4,  24,  77,   3,   2,  42,   4,  20,  75,  10,  73, 145,  22, 116, 196,  33, 136, 215,  16, 107, 180,  10,  55, 108,   5,  15,  59,   5,  15,  60,   5,  36,  90,   8,  51, 112,   8,  51, 114,  11,  74, 144,
     9,  82, 156,  18,  92, 170,  14, 114, 197,  13, 119, 208,  10, 117, 209,  22, 141, 238,  22, 125, 215,  13,  89, 170,   4,  41, 100,   3,   3,  35,   6,  16,  55,   7,  28,  79,   5,  27,  77,   9,  53, 117,  14,  70, 143,   9,  46, 111,   5,  34,  94,   7,  37,  97,   5,  18,  83,   8,  46, 115,   7,  55, 125,
     6,  58, 129,   4,  53, 124,   6,  56, 128,   8,  61, 128,   8,  46, 110,   9,  42, 102,   7,  31,  86,  11,  37,  91,  17,  36,  80,   7,  12,  49,  10,  17,  52,  15,  19,  51,  11,  14,  48,  10,  14,  51,   8,  13,  52,   5,  11,  50,   3,   8,  46,   2,   7,  43,   3,   4,  39,   3,   4,  38,   3,   5,  40,
     4,   7,  43,   4,   6,  42,   6,   7,  45,   8,  13,  53,  11,  18,  57,  12,  18,  57,   8,  11,  47,   7,   9,  43,  11,  13,  46,  10,  12,  43,   4,   6,  35,   6,   9,  39,   4,   6,  36,   3,   7,  34,   4,   5,  28,   3,   5,  25,   3,   4,  21,   3,   3,  17,   2,   3,  19,   3,   5,  22,   4,   4,  19,
     4,   4,  20,   4,   6,  21,   2,   3,  15,   2,   2,  12,   1,   2,  12,   2,   2,  12,   2,   2,  13,   1,   3,  10,   1,   2,   7,   3,   3,  10,   2,   2,   9,   2,   3,   8,   2,   2,   4,   1,   3,   9,   1,   2,  10,   1,   3,  10,   2,   3,  13,   4,   4,  17,   3,   3,  17,   3,   4,  13,   2,   3,   8,
     2,   3,   7,   1,   2,   5,   1,   2,   6,   2,   2,   6,   2,   2,   6,   5,   5,  13,   5,   6,  19,   3,   5,  18,   2,   2,  10,   1,   2,   8,   1,   3,  10,   1,   1,   8,   2,   2,   6,   0,   2,   5,  54,  36,  64,  59,  39,  69,  65,  43,  74,  69,  46,  75,  72,  48,  78,  75,  51,  76,  81,  55,  81,
    80,  63,  83, 137, 132, 100, 186, 185, 141, 188, 192, 159, 111, 106,  99,  88,  61,  92,  85,  54,  81,  84,  48,  79,  84,  48,  80,  82,  44,  79,  77,  40,  76,  72,  37,  71,  69,  34,  65,  64,  31,  56,  56,  24,  37,  54,  19,  32,  50,  14,  27,  51,  15,  28,  54,  17,  32,  53,  20,  35,  55,  23,  41,
    58,  27,  49,  68,  36,  62,  74,  37,  65,  75,  37,  64,  75,  39,  64,  70,  36,  60,  66,  35,  61,  59,  32,  61,  52,  28,  59,  53,  31,  63,  54,  30,  64,  59,  35,  66, 116, 112,  64, 141, 165,  35, 151, 194,   2, 175, 207,   3, 210, 227,   6, 213, 230,  13, 209, 226,  11, 190, 188,  15, 195, 147,  67,
   183, 127,  55, 141, 101,  67, 114,  84,  79, 109,  83,  83, 104,  78,  91,  96,  69,  96,  93,  66,  98,  85,  60,  93,  78,  54,  88,  80,  54,  87,  83,  53,  86,  89,  54,  83, 100,  58,  86, 108,  67,  96, 118,  76, 112, 120,  79, 119, 120,  88, 131, 117,  92, 135, 113,  95, 138, 110, 101, 144, 113, 109, 151,
   111, 110, 150, 113, 112, 151, 116, 113, 152, 116, 109, 148, 119, 110, 145, 122, 112, 143, 122, 110, 141, 124, 139, 183, 125, 158, 208, 125, 176, 224, 126, 193, 242, 128, 203, 250, 140, 212, 250, 226, 245, 250, 247, 252, 252, 248, 251, 253, 250, 252, 251, 246, 248, 244, 211, 218, 180, 166, 163, 105, 222, 221, 143,
   249, 250, 231, 251, 251, 245, 251, 252, 245, 252, 251, 244, 248, 250, 237, 231, 234, 169, 184, 178,  95, 175, 161, 128, 159, 153, 149, 159, 149, 160, 161, 149, 164, 160, 145, 164, 159, 139, 162, 157, 133, 154, 152, 125, 146, 146, 117, 136, 139, 108, 127, 134, 100, 120, 131,  94, 113, 128,  90, 112, 125,  86, 106,
   125,  85, 104, 133,  95, 117, 140, 105, 133, 145, 105, 131, 148, 105, 122, 148, 101, 118, 153, 103, 116, 156, 104, 118, 151,  99, 111, 138,  84,  95, 109,  53,  61,  85,  41,  52,  73,  49,  74,  40,  62, 103,  16,  57, 112,  12,  96, 178,  12, 122, 210,  14, 143, 233,   8, 135, 227,   5, 106, 194,   6, 100, 187,
     6,  81, 161,   6,  56, 131,  10,  86, 161,   5,  31,  91,   4,   9,  49,   6,  36,  95,   6,  61, 132,  12,  64, 133,  10,  51, 109,   7,  27,  77,   4,  20,  65,  11,  42,  88,  15,  54, 106,  10,  57, 113,  10,  67, 129,   7,  62, 131,   8,  71, 143,   5,  70, 144,   4,  63, 140,   8,  89, 171,   6,  81, 160,
    14, 114, 202,  26, 143, 237,  26, 142, 234,  35, 146, 232,   6,  64, 133,   5,   3,  40,   3,   2,  31,   5,   9,  40,   3,   0,  27,   3,   7,  40,   6,  26,  75,   8,  39,  98,  11,  46, 107,   3,  30,  90,   6,  34,  98,   5,  24,  90,   6,  54, 124,   6,  51, 121,   4,  41, 111,   7,  36, 102,   7,  34,  91,
     5,  20,  74,   5,  12,  59,   5,  11,  55,  11,  27,  74,   6,  17,  56,   8,  14,  49,   7,  13,  44,  11,  14,  43,   4,   5,  32,   6,  13,  48,   8,  17,  57,   4,  11,  54,   2,   9,  51,   4,   8,  50,   3,   7,  47,   3,   5,  46,   3,   6,  50,   3,   7,  51,   3,   8,  50,   6,  12,  49,   6,  12,  48,
     6,  11,  44,   8,  13,  43,   3,   4,  28,   3,   4,  31,   4,   7,  30,   2,   3,  23,   2,   3,  19,   2,   2,  19,   2,   2,  21,   2,   4,  24,   3,   3,  22,   3,   4,  19,   3,   4,  17,   3,   3,  17,   3,   4,  16,   2,   3,  14,   2,   2,  12,   2,   2,  13,   1,   2,  13,   1,   2,  11,   3,   5,  14,
     1,   2,  11,   2,   2,  13,   3,   4,  15,   3,   4,  12,   2,   2,  10,   1,   2,  11,   2,   2,   9,   1,   2,   7,   2,   2,   5,   2,   2,   8,   2,   3,  14,   3,   3,  15,   5,   6,  22,   7,   8,  27,   4,   6,  27,   4,   8,  25,   2,   2,  11,   2,   2,   7,   1,   1,   6,   1,   2,   7,   0,   1,   5,
     2,   3,   8,   5,   5,  17,   2,   3,  14,   2,   4,  15,   3,   3,  16,   4,   4,  17,   2,   2,   9,   2,   2,   7,   1,   1,   7,   1,   2,   8,  50,  37,  66,  58,  43,  76,  63,  47,  79,  67,  53,  85,  70,  56,  89,  74,  60,  95,  78,  63,  96,  80,  65,  97,  80,  67, 102,  84,  72, 107,  84,  72, 106,
    90,  71, 105,  87,  64,  97,  87,  60,  94,  85,  56,  92,  86,  52,  89,  81,  45,  85,  78,  43,  83,  74,  40,  79,  71,  38,  72,  61,  30,  57,  53,  21,  37,  50,  15,  30,  49,  13,  28,  53,  18,  33,  58,  21,  36,  63,  26,  42,  63,  28,  45,  65,  31,  51,  74,  36,  61,  80,  40,  65,  81,  40,  62,
    79,  40,  61,  75,  36,  59,  68,  34,  57,  61,  31,  56,  56,  25,  55,  59,  29,  61,  60,  31,  62,  70,  36,  66,  90,  62,  63, 141, 146,  62, 154, 189,  18, 168, 206,   4, 202, 223,   5, 211, 228,   6, 200, 208,   8, 192, 159,  45, 188, 136,  56, 167, 113,  51, 114,  74,  67, 100,  62,  70,  96,  58,  74,
    93,  59,  84,  92,  61,  93,  86,  60,  94,  78,  54,  89,  70,  52,  86,  77,  54,  88,  83,  55,  89,  87,  54,  89,  99,  59,  92, 109,  67, 101, 116,  73, 111, 122,  80, 122, 119,  86, 131, 115,  92, 135, 113,  95, 138, 109,  97, 141, 108, 101, 143, 108, 102, 145, 110, 105, 145, 112, 107, 147, 113, 103, 143,
   117, 106, 142, 122, 109, 140, 120, 105, 137, 123, 120, 151, 125, 151, 201, 125, 170, 221, 129, 190, 240, 134, 205, 251, 138, 210, 253, 141, 211, 248, 165, 219, 242, 186, 222, 235, 198, 221, 220, 179, 195, 174, 145, 132, 109, 155, 133, 102, 182, 169,  98, 211, 206, 104, 224, 216, 125, 222, 217, 131, 223, 219, 118,
   209, 206,  95, 178, 172,  69, 179, 159, 112, 175, 151, 129, 163, 145, 143, 156, 140, 145, 155, 134, 146, 151, 127, 141, 148, 121, 135, 145, 114, 127, 137, 104, 112, 135,  97, 104, 129,  91,  98, 123,  82,  91, 122,  80,  92, 121,  79,  94, 119,  74,  89, 121,  75,  91, 125,  81,  97, 132,  88, 104, 141,  98, 116,
   144,  97, 112, 152, 101, 113, 154, 100, 109, 156, 100, 110, 153,  96, 105, 137,  73,  78, 117,  56,  60,  97,  46,  57,  80,  44,  66,  41,  65, 114,  24,  74, 141,   7,  70, 145,  10,  87, 165,   8,  94, 179,   6,  90, 174,   6,  86, 169,   7,  74, 154,   5,  66, 143,   6,  36, 109,   5,  75, 151,   7,  49, 115,
     5,  34,  94,   8,  46, 111,   9,  59, 127,   9,  43, 102,   5,  18,  67,   4,  16,  66,   7,  33,  84,   9,  40,  92,   7,  45, 100,   7,  46, 106,   7,  49, 115,  10,  68, 139,   6,  67, 140,   7,  76, 153,   6,  84, 162,   9,  91, 173,  15, 107, 191,  28, 142, 230,  42, 167, 242,  30, 143, 237,  14, 122, 215,
     8,  81, 158,   6,  22,  70,   6,  12,  51,   3,   6,  35,   3,   6,  31,   3,   3,  28,   2,   4,  34,   6,  18,  68,   6,  27,  81,   6,  23,  81,   8,  47, 108,   8,  51, 117,   9,  51, 121,   5,  50, 118,   5,  27,  92,   5,  17,  79,   5,  17,  72,   5,  17,  66,   6,  20,  66,   8,  15,  59,  10,  36,  82,
     7,  14,  47,   7,  12,  41,   3,   6,  23,   0,   1,  11,   3,   4,  20,   9,  17,  49,   5,  19,  56,   4,  15,  62,   4,  16,  64,   4,  14,  64,   1,   8,  57,   3,  10,  60,   2,  11,  62,   4,  13,  64,   4,  14,  61,   5,  12,  48,   7,  12,  42,   1,   3,  25,   2,   3,  17,   3,   4,  19,   4,   4,  20,
     2,   3,  16,   2,   2,  13,   1,   2,  13,   1,   1,  11,   2,   3,  15,   3,   3,  18,   2,   3,  15,   3,   3,  16,   2,   2,  12,   2,   2,  12,   1,   2,   9,   2,   3,  10,   1,   1,  10,   1,   2,  13,   2,   2,  12,   1,   2,  10,   1,   3,  11,   2,   3,  12,   2,   3,  11,   2,   3,  11,   2,   3,  10,
     2,   3,   9,   2,   2,  10,   2,   2,  10,   1,   2,   7,   2,   2,   6,   2,   2,  10,   6,   6,  22,   7,   8,  28,   3,   3,  22,   3,   5,  25,   5,   9,  32,   9,  16,  36,   5,   7,  16,   2,   4,  10,   2,   3,   9,   1,   2,   7,   0,   1,   5,   1,   1,   9,   1,   3,  10,   2,   3,  14,   3,   3,  16,
     2,   2,  16,   1,   3,  11,   2,   2,  10,   4,   5,  12,   3,   5,  11,   1,   2,   7,  49,  40,  72,  55,  47,  79,  59,  50,  83,  63,  56,  91,  70,  65, 100,  74,  67, 103,  75,  69, 106,  78,  69, 107,  85,  75, 112,  89,  81, 115,  89,  80, 116,  91,  76, 113,  90,  70, 108,  88,  67, 105,  86,  60, 101,
    84,  55,  96,  83,  50,  93,  81,  47,  91,  77,  44,  85,  71,  39,  77,  62,  31,  62,  51,  21,  42,  47,  15,  31,  49,  14,  31,  56,  21,  38,  61,  25,  40,  67,  30,  48,  74,  34,  53,  79,  37,  59,  84,  41,  65,  88,  43,  68,  88,  42,  62,  84,  40,  59,  77,  37,  56,  71,  34,  52,  61,  29,  48,
    59,  28,  51,  63,  29,  53,  71,  34,  60,  77,  39,  64,  86,  45,  66, 106,  76,  61, 142, 142,  52, 158, 181,  18, 171, 194,   9, 183, 193,  14, 177, 154,  42, 178, 129,  50, 165, 113,  42, 127,  80,  55,  94,  53,  61,  90,  49,  59,  90,  51,  67,  91,  54,  82,  86,  52,  88,  78,  50,  88,  70,  50,  86,
    69,  53,  88,  71,  53,  87,  79,  55,  91,  86,  56,  95,  98,  61,  99, 108,  68, 106, 112,  71, 112, 117,  77, 118, 119,  86, 130, 115,  92, 134, 111,  92, 135, 105,  88, 132, 105,  93, 135, 108,  97, 141, 107,  98, 140, 108,  98, 139, 109,  96, 136, 115, 100, 134, 119, 105, 137, 116, 101, 133, 118,  99, 129,
   126, 118, 150, 124, 148, 190, 124, 169, 218, 126, 187, 236, 134, 196, 241, 133, 196, 240, 128, 186, 231, 125, 172, 214, 119, 153, 183, 124, 127, 141, 136, 106,  97, 139, 105,  87, 150, 118,  84, 169, 145,  79, 170, 149,  70, 155, 135,  55, 148, 129,  48, 149, 130,  53, 156, 134,  74, 164, 133,  96, 161, 128, 111,
   157, 125, 117, 150, 121, 118, 144, 114, 115, 139, 105, 109, 137, 100, 103, 132,  91,  90, 129,  83,  81, 122,  74,  69, 119,  70,  67, 115,  66,  67, 111,  63,  70, 109,  62,  70, 112,  64,  75, 113,  63,  73, 119,  66,  74, 126,  73,  78, 136,  79,  82, 144,  90,  95, 150,  93, 100, 153,  94, 100, 156,  91,  94,
   153,  82,  79, 138,  66,  59, 123,  55,  56, 106,  48,  58,  88,  51,  71,  52,  98, 168,  39,  92, 167,  16,  83, 159,   7,  81, 156,   5,  64, 136,   7,  85, 166,  11,  85, 168,   4,  48, 126,   5,  46, 124,   7,  63, 139,  12, 110, 192,   8,  69, 141,   8,  72, 141,   7,  67, 134,  12,  76, 148,  17,  94, 169,
    17,  69, 132,   8,  40,  96,   7,  46, 103,   7,  44, 102,   8,  60, 123,  11,  88, 157,   5,  72, 142,  16,  99, 174,  15,  84, 160,  13,  72, 144,   8,  80, 156,  22, 140, 226,  26, 151, 241,  28, 151, 241,  21, 140, 234,  25, 146, 239,  18, 127, 223,  20, 115, 201,  14,  87, 167,  18, 102, 183,   9,  62, 125,
     9,  47, 106,   6,  35,  79,   4,   6,  37,   4,  14,  59,   3,   8,  56,   4,  10,  68,   5,  24,  88,  10,  55, 125,  11,  61, 131,  10,  40, 106,   8,  32,  94,   9,  37,  95,   5,  23,  76,   5,  18,  68,   4,  21,  65,   6,  24,  66,   7,  20,  60,   3,   4,  27,   2,   4,  16,   1,   1,   5,   1,   1,   6,
     2,   3,  13,   6,  12,  40,   8,  22,  61,  14,  38,  86,  12,  38,  88,   8,  33,  85,   4,  25,  80,   5,  25,  82,   6,  29,  86,   9,  35,  89,   8,  25,  71,   3,   4,  30,   3,   3,  20,   2,   3,  16,   2,   2,   7,   3,   3,  12,   2,   2,   7,   1,   3,   8,   4,   5,  15,   1,   2,   8,   1,   2,   9,
     2,   2,  14,   2,   3,  17,   3,   3,  15,   1,   2,  12,   2,   3,  11,   1,   2,   8,   1,   2,   7,   1,   2,   8,   1,   2,   9,   2,   2,  12,   2,   4,  12,   2,   3,  12,   1,   2,  11,   2,   3,  11,   2,   2,  11,   1,   2,   8,   2,   2,  11,   4,   4,  15,   4,   4,  15,   2,   3,   9,   2,   2,   7,
     1,   2,   6,   1,   2,   7,   1,   2,  15,   4,   5,  23,   4,   7,  31,   4,   8,  33,   6,   7,  29,   2,   2,  18,   3,   2,  14,   4,   3,  13,   6,   7,  17,   1,   1,   9,   1,   1,   7,   3,   3,  12,   6,   7,  21,   5,   8,  25,  10,  16,  38,   4,   5,  23,   3,   4,  15,   3,   3,  14,   1,   2,   9,
     1,   2,   6,   2,   2,   5,  54,  49,  80,  58,  53,  86,  60,  56,  89,  68,  64, 100,  75,  72, 108,  77,  73, 112,  79,  74, 115,  81,  73, 113,  88,  79, 121,  96,  88, 128,  96,  87, 128,  95,  84, 127,  90,  79, 120,  90,  74, 115,  88,  65, 107,  85,  60, 102,  81,  52,  97,  81,  50,  96,  79,  49,  92,
    70,  41,  82,  58,  33,  66,  49,  19,  47,  43,  14,  38,  49,  17,  38,  58,  23,  40,  68,  30,  48,  73,  33,  52,  82,  39,  58,  90,  44,  64,  96,  49,  71,  95,  47,  68,  93,  47,  65,  88,  43,  61,  80,  38,  55,  73,  34,  48,  65,  29,  45,  64,  30,  46,  68,  32,  49,  73,  35,  53,  79,  38,  58,
    87,  46,  62,  89,  43,  61,  90,  47,  62,  98,  67,  58, 109,  85,  56, 102,  72,  57, 100,  68,  55,  99,  66,  56,  96,  59,  56,  84,  45,  56,  83,  41,  51,  83,  40,  54,  83,  43,  60,  85,  49,  77,  80,  48,  86,  74,  47,  87,  70,  51,  87,  69,  53,  89,  71,  56,  90,  77,  58,  95,  82,  58,  97,
    93,  62, 101, 102,  67, 105, 110,  72, 112, 113,  74, 115, 110,  73, 116, 110,  80, 123, 108,  80, 124, 104,  79, 123, 102,  82, 126, 107,  90, 133, 105,  89, 133, 103,  87, 129, 106,  91, 131, 111,  97, 132, 113,  98, 129, 112,  94, 124, 113,  93, 122, 119, 100, 128, 117, 111, 138, 114, 128, 165, 116, 144, 189,
   114, 158, 200, 117, 161, 202, 114, 154, 192, 118, 140, 166, 121, 125, 134, 121, 104, 105, 121,  84,  80, 121,  81,  72, 127,  85,  69, 126,  85,  58, 118,  85,  35, 105,  77,  12, 101,  73,   9, 111,  79,  24, 131,  89,  50, 147, 100,  72, 145,  98,  77, 141,  95,  81, 141,  96,  86, 138,  95,  88, 135,  90,  85,
   130,  83,  79, 123,  73,  67, 118,  68,  61, 115,  62,  55, 113,  59,  54, 110,  54,  51, 109,  54,  54, 109,  55,  56, 110,  53,  57, 109,  52,  55, 112,  52,  51, 121,  58,  54, 133,  65,  55, 142,  69,  57, 147,  74,  61, 152,  75,  65, 155,  76,  67, 151,  72,  62, 140,  64,  57, 128,  57,  54, 112,  50,  56,
   100,  60,  79,  59, 113, 189,  51, 114, 198,  13,  78, 155,   9,  79, 157,   5,  63, 138,   5,  78, 159,   5,  71, 150,   4,  47, 125,   5,  46, 126,   8,  97, 180,  16, 129, 218,  17, 124, 209,  12,  95, 174,  13,  88, 161,  25, 116, 196,  24, 109, 184,   9,  80, 150,   8,  62, 130,   7,  58, 124,  13,  77, 142,
    13,  75, 141,   9,  55, 118,   8,  49, 115,   4,  36, 100,   7,  40, 104,   9,  71, 144,  12, 111, 191,  21, 132, 215,   7,  98, 183,  12, 122, 212,  17, 122, 209,  16, 115, 201,  16, 114, 202,  23, 126, 220,  17, 111, 201,  19, 119, 210,   6,  97, 184,  12,  90, 170,  12,  86, 161,  13,  56, 119,   7,  35,  87,
     5,  17,  68,   4,  15,  73,   5,  29,  92,  10,  51, 119,  11,  49, 117,   5,  31,  96,   7,  27,  88,   4,  22,  78,   4,  17,  69,   5,  13,  61,   4,  14,  56,   3,  11,  45,   3,   3,  22,   3,   3,  17,   2,   1,   6,   1,   1,   3,   1,   1,   4,   1,   2,   8,   4,   7,  28,  15,  31,  66,  28,  50,  99,
    34,  61, 111,  38,  64, 115,  25,  55, 109,  23,  53, 110,  29,  57, 114,  23,  51, 100,   5,  12,  33,   2,   2,  14,   4,   3,  13,   2,   2,   8,   2,   2,   7,   1,   2,   6,   2,   3,   7,   2,   3,   7,   1,   1,   6,   1,   2,   9,   1,   2,  10,   3,   4,  15,   2,   2,  13,   2,   2,  14,   3,   3,  12,
     1,   2,   7,   1,   2,   7,   0,   1,   6,   1,   2,   7,   1,   1,  10,   3,   5,  15,  11,  14,  30,   1,   2,  10,   1,   2,  12,   2,   2,  12,   1,   2,  10,   1,   2,   9,   4,   4,  14,   6,   8,  22,   5,   6,  20,   3,   4,  13,   2,   2,   7,   1,   2,   4,   1,   1,   7,   4,   6,  19,  12,  17,  39,
     8,  14,  39,   5,  10,  37,   7,  11,  36,   4,   6,  21,   3,   3,  14,   4,   4,  20,   4,   5,  18,   1,   2,  10,   3,   3,  12,   2,   3,  14,   4,   5,  19,   4,   5,  20,   5,   9,  26,   6,  10,  29,   3,   2,  17,   5,   6,  17,   1,   1,   4,   1,   1,   5,   3,   4,  13,  63,  55,  91,  64,  61,  97,
    66,  65, 102,  73,  71, 111,  78,  78, 117,  79,  78, 118,  82,  78, 119,  88,  81, 122,  93,  85, 127, 100,  91, 134, 103,  93, 138,  99,  89, 135,  94,  83, 127,  93,  78, 121,  90,  72, 115,  88,  67, 110,  85,  62, 106,  82,  56, 101,  79,  52,  97,  72,  45,  88,  57,  33,  68,  48,  23,  54,  43,  13,  42,
    47,  18,  41,  58,  24,  44,  68,  31,  49,  75,  34,  53,  86,  41,  59,  95,  46,  70,  98,  49,  73,  98,  48,  70,  94,  44,  65,  89,  44,  61,  82,  37,  54,  74,  32,  47,  67,  30,  45,  64,  28,  44,  68,  31,  48,  72,  34,  52,  78,  39,  58,  84,  42,  61,  88,  45,  61,  85,  44,  58,  83,  44,  60,
    84,  46,  64,  81,  47,  60,  79,  44,  57,  77,  43,  56,  75,  39,  54,  74,  37,  52,  76,  38,  51,  78,  39,  56,  77,  38,  59,  79,  46,  79,  78,  46,  84,  73,  49,  88,  70,  50,  89,  69,  54,  90,  71,  56,  91,  78,  61,  97,  81,  61,  99,  88,  61, 101,  97,  67, 106, 105,  70, 110, 107,  72, 113,
   106,  68, 109, 108,  68, 110, 106,  69, 112, 103,  69, 114, 101,  70, 115, 103,  78, 121, 102,  77, 121, 101,  85, 126, 110,  97, 134, 112, 102, 136, 115, 101, 133, 113,  98, 129, 111,  92, 123, 108,  86, 114, 111,  89, 119, 114,  96, 126, 115, 106, 133, 113, 115, 138, 114, 121, 136, 121, 132, 140, 128, 145, 149,
   128, 134, 135, 122, 106, 103, 116,  81,  73, 117,  76,  62, 118,  77,  58, 125,  92,  51, 149, 140,  39, 164, 169,  37, 150, 151,  25, 128, 113,  24, 125,  85,  40, 134,  85,  58, 135,  83,  63, 133,  81,  65, 134,  82,  71, 130,  81,  70, 127,  79,  72, 123,  73,  69, 121,  70,  65, 120,  67,  62, 116,  61,  55,
   113,  58,  49, 111,  53,  45, 109,  48,  42, 107,  47,  43, 108,  46,  44, 109,  45,  41, 112,  45,  39, 120,  48,  39, 126,  52,  38, 134,  57,  41, 141,  64,  48, 145,  67,  52, 150,  69,  60, 150,  68,  61, 145,  65,  59, 134,  59,  57, 119,  50,  55, 104,  52,  66,  59, 109, 176,  52, 128, 213,  22,  99, 185,
    11,  90, 176,  11,  96, 179,  10,  91, 170,   7,  53, 118,   6,  62, 141,   6,  92, 179,   7, 104, 194,  10, 107, 193,  18,  94, 170,  27, 141, 227,  20, 111, 193,  28, 116, 195,  16, 102, 182,  15, 102, 182,  12,  96, 174,   7,  69, 139,   3,  53, 121,  11,  73, 143,  11,  62, 127,   9,  55, 123,   6,  37, 100,
     8,  37,  98,   9,  42,  99,   6,  21,  70,   4,  25,  80,   6,  33,  85,   5,  24,  68,   5,  15,  57,   6,  26,  72,  10,  62, 129,  14, 101, 183,  28, 115, 198,  26, 122, 212,  17, 112, 201,  16, 105, 186,  10,  81, 157,   8,  45, 105,   9,  36,  89,   7,  30,  84,   4,  18,  74,   5,  34,  98,   8,  43, 107,
     4,  30,  94,   5,  29,  93,   6,  30,  88,   4,  17,  70,   4,   9,  57,   6,  15,  56,   6,  15,  52,   3,   8,  32,   1,   3,  12,   2,   4,  12,   1,   2,   3,   2,   2,   2,   1,   2,   4,   1,   2,   8,   2,   4,  20,  10,  21,  53,  19,  37,  81,  30,  53,  98,  41,  65, 113,  54,  75, 125,  43,  67, 118,
    30,  54, 101,  12,  22,  41,   1,   1,   4,   2,   3,  10,   1,   2,   6,   2,   2,   9,   4,   5,  12,   2,   3,   8,   4,   4,  13,   2,   2,   9,   2,   2,   7,   1,   1,   6,   3,   3,  14,   7,   9,  21,   2,   3,  16,   3,   4,  16,   1,   2,  11,   1,   2,  10,   1,   2,  10,   1,   2,   8,   2,   3,   9,
     3,   4,  13,   5,   6,  20,   4,   4,  15,   4,   5,  18,   2,   2,  10,   4,   4,  13,   5,   7,  18,   2,   3,  10,   1,   2,  10,   4,   4,  16,   3,   3,  17,   4,   6,  17,   3,   4,  12,   1,   2,   6,   1,   2,   9,   3,   3,  15,   5,   8,  29,   5,   9,  34,   7,  12,  38,   5,  11,  36,   9,  14,  39,
     9,  13,  33,   5,   7,  22,   2,   3,  13,   1,   2,   9,   1,   2,  10,   2,   3,  15,   3,   3,  18,   3,   5,  21,   4,   6,  23,   5,   5,  27,   3,   3,  18,   2,   2,  11,   1,   2,   7,   2,   3,  11,   3,   4,  17,  64,  56,  97,  69,  66, 105,  74,  73, 113,  79,  79, 119,  81,  80, 120,  81,  81, 121,
    86,  82, 124,  91,  84, 126,  96,  87, 130, 100,  90, 134, 103,  94, 138, 101,  91, 137,  96,  87, 132,  93,  82, 125,  91,  79, 122,  92,  77, 120,  88,  70, 113,  84,  64, 107,  81,  56, 101,  74,  46,  91,  61,  36,  73,  47,  24,  55,  46,  18,  47,  51,  22,  47,  59,  27,  48,  65,  27,  47,  72,  30,  51,
    85,  39,  61,  95,  47,  73,  98,  49,  74,  97,  45,  69,  93,  44,  66,  89,  42,  61,  83,  40,  56,  75,  36,  53,  67,  31,  48,  63,  31,  49,  64,  32,  53,  69,  32,  57,  77,  38,  64,  79,  39,  65,  82,  42,  66,  81,  42,  63,  82,  44,  64,  79,  42,  62,  77,  41,  59,  75,  40,  59,  73,  41,  58,
    73,  38,  58,  73,  37,  58,  72,  35,  59,  72,  36,  62,  72,  36,  67,  72,  41,  77,  76,  50,  85,  70,  50,  88,  68,  52,  89,  69,  55,  92,  70,  56,  92,  75,  60,  95,  79,  60,  98,  86,  61, 100,  96,  67, 107, 103,  71, 110, 104,  67, 108, 106,  67, 106, 103,  61, 100, 102,  59,  95, 102,  59,  97,
    99,  58,  97, 100,  62,  99, 101,  69, 109, 105,  95, 132, 109, 109, 144, 112, 118, 156, 113, 119, 157, 113, 112, 146, 114, 101, 130, 105,  84, 114, 109,  83, 114, 109,  84, 114, 111,  86, 114, 111,  97, 116, 133, 146, 145, 160, 184, 176, 169, 193, 184, 166, 191, 177, 157, 170, 141, 128, 117,  85, 107,  71,  54,
   132, 107,  60, 223, 231, 128, 255, 255, 196, 254, 255, 202, 250, 254, 183, 240, 249, 145, 189, 189,  79, 136,  93,  56, 138,  88,  70, 135,  84,  70, 135,  85,  76, 131,  82,  76, 130,  81,  77, 127,  77,  73, 122,  71,  69, 121,  66,  63, 119,  63,  59, 117,  60,  53, 115,  53,  44, 111,  48,  37, 113,  48,  38,
   112,  44,  37, 115,  45,  37, 118,  46,  38, 122,  48,  40, 129,  52,  41, 135,  57,  45, 141,  63,  50, 148,  67,  56, 150,  67,  56, 153,  68,  60, 149,  66,  58, 139,  60,  56, 126,  55,  56, 109,  53,  68,  64, 127, 192,  67, 154, 228,   3,  77, 161,   4,  61, 131,   4,   7,  28,   8,  28,  58,   8,  50,  98,
    11, 107, 196,   8, 116, 210,   6,  90, 174,  11,  79, 153,  10,  90, 167,  17, 103, 179,   9,  82, 158,   8,  84, 163,   8,  97, 179,  19, 118, 201,  27, 129, 216,   7,  88, 165,   7,  83, 157,   6,  58, 129,   6,  53, 121,   7,  62, 132,  14,  85, 159,   7,  63, 132,   6,  48, 116,   7,  37,  97,   8,  36,  92,
     6,  34,  89,   7,  26,  77,   4,  10,  48,   3,   7,  42,   3,   5,  38,   5,  20,  62,   5,  46, 101,   8,  64, 128,  20,  74, 133,  13,  75, 138,  12,  64, 129,   6,  39, 100,   6,  23,  74,   4,   7,  60,   4,  18,  75,   6,  37,  99,   7,  36,  97,   5,  29,  88,   8,  40,  98,   7,  32,  86,   5,  27,  76,
     3,  11,  55,   5,  15,  54,   8,  19,  52,   3,   4,  21,   2,   2,  12,   4,   5,  16,   1,   2,   6,   1,   1,   2,   1,   2,   4,   2,   3,  11,   3,   3,  18,   7,   7,  30,   7,   8,  28,  10,   8,  26,  19,  24,  48,  24,  35,  58,   7,  10,  21,   6,   5,  10,   1,   0,   1,   3,   2,   6,   2,   2,   6,
     4,   5,  15,   1,   2,  10,   3,   3,  16,   5,   6,  19,   1,   1,   7,   2,   3,  10,   4,   4,  15,   2,   1,  11,   3,   4,  16,   5,  11,  29,   7,  10,  28,   6,   8,  26,   2,   2,  11,   2,   3,  13,   1,   3,  13,   2,   3,  15,   1,   2,  10,   3,   4,  14,   7,  10,  24,   4,   7,  23,   3,   4,  13,
     2,   2,  10,   3,   5,  20,   6,   8,  25,   6,   8,  20,   1,   1,   9,   1,   2,  15,   6,   8,  27,   8,  13,  31,   4,   5,  13,   3,   3,  10,   5,   7,  17,   2,   4,  14,  10,  16,  42,   7,  15,  42,   7,   8,  32,   6,  10,  38,   5,  10,  37,   5,   6,  23,   2,   3,  15,   2,   2,   8,   6,   7,  16,
     3,   4,  15,   4,   4,  19,   6,   9,  26,   9,  15,  38,  10,  13,  34,   4,   5,  21,   6,  10,  24,   4,   6,  13,   1,   2,   7,   4,   4,  14,   5,   7,  21,  69,  61, 101,  71,  68, 108,  78,  78, 118,  80,  80, 120,  81,  80, 120,  84,  83, 123,  89,  84, 125,  96,  89, 130,  97,  88, 131, 100,  90, 136,
   104,  94, 140, 103,  94, 138, 101,  91, 136,  97,  86, 130,  96,  85, 129,  94,  83, 126,  90,  77, 120,  88,  72, 115,  85,  62, 107,  78,  49,  94,  64,  38,  76,  52,  28,  58,  48,  20,  50,  52,  23,  51,  57,  25,  52,  64,  27,  52,  73,  33,  59,  84,  42,  68,  93,  48,  76,  96,  50,  79,  96,  48,  76,
    96,  50,  75,  91,  46,  70,  84,  45,  65,  72,  35,  59,  65,  31,  56,  60,  32,  57,  61,  32,  61,  66,  37,  66,  70,  37,  69,  75,  41,  75,  79,  42,  76,  79,  44,  76,  79,  42,  77,  77,  43,  75,  76,  43,  75,  77,  44,  76,  74,  42,  74,  73,  41,  74,  70,  39,  72,  72,  40,  74,  70,  40,  74,
    70,  40,  76,  67,  43,  79,  69,  49,  85,  71,  53,  89,  71,  57,  93,  67,  56,  93,  71,  60,  95,  72,  59,  94,  76,  60,  98,  86,  63, 101,  93,  67, 104,  97,  64, 105,  99,  64, 103, 100,  61,  98,  99,  58,  92,  97,  56,  86,  93,  52,  81,  93,  52,  81,  95,  56,  86,  99,  79, 116, 104, 124, 159,
   110, 163, 205, 116, 180, 224, 115, 174, 219, 113, 150, 195, 110, 125, 164, 110, 100, 129, 111,  81, 111, 110,  81, 111, 113,  84, 111, 135, 131, 134, 184, 209, 197, 190, 220, 216, 191, 220, 214, 185, 213, 208, 177, 201, 191, 149, 167, 134, 109, 101,  42, 209, 208, 121, 255, 255, 239, 254, 254, 239, 254, 254, 237,
   254, 254, 239, 255, 255, 242, 253, 252, 220, 188, 177,  83, 141,  92,  79, 141,  91,  80, 142,  93,  88, 139,  91,  88, 138,  90,  89, 133,  86,  85, 131,  80,  81, 128,  72,  73, 125,  67,  67, 121,  61,  57, 118,  55,  46, 117,  49,  39, 118,  47,  38, 121,  49,  41, 122,  50,  41, 124,  51,  44, 128,  57,  51,
   132,  60,  56, 137,  62,  57, 143,  66,  60, 149,  70,  62, 154,  72,  64, 159,  74,  65, 156,  73,  64, 150,  67,  63, 131,  56,  59, 112,  68,  90,  59, 138, 211,  86, 188, 246,  29,  98, 180,   4,  66, 147,   9,  46, 103,  22, 104, 177,  23, 139, 221,  23, 154, 237,  11, 108, 197,   6,  71, 145,   9,  49, 115,
    15,  62, 127,  12,  58, 117,  13,  55, 114,  12,  67, 132,  13, 110, 190,  14, 107, 188,  21, 129, 216,  11, 105, 189,   6,  99, 179,   5,  82, 156,   4,  69, 139,   6,  58, 128,   7,  54, 127,   5,  75, 151,   4,  71, 145,   5,  53, 117,   5,  43, 104,   5,  29,  90,   5,  38, 100,   7,  37,  93,   8,  43,  99,
     7,  44, 102,   6,  32,  80,   5,  10,  46,   2,   1,  30,   2,   5,  34,   3,   0,  22,   2,   0,  27,   6,   8,  48,   4,  10,  60,   5,  22,  81,   5,  37,  96,   7,  36,  97,   6,  22,  79,   4,  12,  66,   5,  19,  73,   3,  12,  64,   5,  14,  65,   7,  17,  63,   8,  15,  49,   3,   5,  33,   4,   6,  28,
     3,   3,  14,   4,   6,  17,   3,   2,   6,   2,   2,   4,   2,   2,   6,   2,   3,  10,   1,   2,   9,   3,   2,  13,   2,   2,  11,   1,   2,   8,   1,   1,   3,   1,   0,   0,   1,   1,   1,   2,   2,   5,   3,   2,   6,   2,   2,   4,   1,   2,   6,   5,   5,  15,   5,   5,  19,   7,  10,  27,   3,   4,  16,
     1,   3,   9,   5,   6,  21,  11,  20,  42,   5,   8,  26,   7,   9,  29,   9,  19,  47,   6,  11,  29,   2,   3,  17,   3,   3,  15,   3,   4,  17,   6,   9,  29,   5,   8,  26,   2,   2,  16,   4,   4,  24,   6,  10,  34,   7,  12,  31,   2,   3,  13,   2,   2,  15,   3,   4,  18,   5,   7,  23,   2,   2,  13,
     1,   2,   9,   2,   3,  14,   6,   9,  28,   7,  12,  37,   2,   3,  17,   4,   5,  18,   4,   7,  25,   3,   4,  20,   7,  13,  39,  11,  23,  51,   5,   8,  35,  13,  20,  50,  10,  17,  46,   7,  11,  35,   3,   5,  17,   1,   2,   7,   2,   2,  11,   3,   4,  17,   7,   9,  29,  10,  17,  42,  11,  21,  47,
     3,   6,  29,   3,   6,  25,   6,   8,  24,   2,   2,  12,   3,   4,  14,   7,   9,  25,   6,  11,  31,  74,  67, 107,  78,  75, 115,  81,  82, 122,  83,  83, 123,  82,  81, 121,  84,  83, 123,  87,  84, 124,  94,  87, 128,  97,  88, 131,  99,  89, 135, 104,  95, 139, 103,  94, 139, 101,  93, 137,  99,  91, 136,
    99,  90, 133,  98,  89, 131,  93,  83, 124,  91,  75, 118,  89,  66, 110,  82,  51,  96,  68,  40,  79,  54,  29,  61,  50,  23,  56,  53,  25,  56,  60,  30,  60,  66,  35,  67,  75,  40,  72,  86,  45,  77,  88,  48,  83,  91,  50,  85,  90,  50,  84,  89,  48,  82,  87,  47,  81,  79,  43,  75,  68,  37,  71,
    61,  34,  67,  56,  34,  66,  59,  38,  71,  62,  42,  75,  67,  43,  77,  71,  45,  80,  74,  45,  83,  73,  44,  82,  74,  47,  87,  71,  46,  82,  72,  46,  84,  74,  44,  84,  72,  46,  84,  71,  45,  82,  70,  46,  82,  69,  44,  80,  66,  44,  82,  67,  46,  84,  64,  47,  82,  64,  49,  84,  66,  54,  89,
    64,  55,  90,  64,  57,  91,  68,  59,  94,  71,  62,  95,  77,  59,  96,  81,  58,  97,  87,  60,  97,  91,  56,  96,  91,  55,  91,  94,  55,  87,  96,  55,  84,  97,  56,  83,  94,  53,  80,  95,  54,  82, 100,  70,  98, 104, 143, 179, 136, 215, 245, 156, 232, 255, 153, 229, 254, 148, 226, 254, 137, 214, 250,
   118, 173, 215, 112, 126, 161, 113,  82, 110, 114,  83, 110, 119,  91, 114, 179, 193, 176, 210, 236, 232, 210, 236, 236, 199, 231, 232, 188, 223, 221, 176, 209, 204, 156, 184, 158, 142, 157,  65, 254, 255, 211, 254, 254, 246, 255, 254, 247, 254, 254, 248, 254, 254, 250, 253, 254, 252, 253, 254, 247, 238, 239, 178,
   156, 114,  84, 151, 102,  94, 149, 101,  99, 147, 101, 100, 145, 101, 102, 140,  93,  97, 139,  86,  90, 136,  81,  86, 134,  75,  77, 129,  66,  65, 128,  63,  57, 126,  55,  46, 126,  53,  45, 128,  56,  48, 126,  54,  47, 128,  61,  58, 133,  69,  70, 136,  70,  74, 139,  72,  76, 146,  73,  73, 151,  73,  70,
   154,  72,  67, 160,  72,  64, 160,  74,  62, 151,  69,  63, 139,  60,  58, 121,  72,  91,  66, 139, 209,  86, 197, 250,  67, 159, 217,   7,  47, 115,  19,  66, 134,  39, 151, 224,  39, 171, 247,  19, 136, 222,   8,  91, 171,   8,  65, 138,   9,  72, 144,  16,  95, 168,  20, 105, 179,  18, 118, 194,  18, 147, 227,
    34, 188, 249,  21, 173, 238,  17, 135, 210,   5,  99, 189,  12, 123, 211,  20, 138, 227,   9,  89, 167,   5,  66, 140,   5,  84, 163,   5,  95, 174,   5,  71, 147,   7,  40, 107,   6,  48, 114,   8,  58, 124,   8,  64, 130,  10,  76, 146,   7,  78, 146,   8,  72, 139,   9,  75, 145,   7,  59, 123,   5,  24,  74,
     3,   3,  40,   3,   4,  40,   5,  10,  50,   7,  32,  84,  12,  72, 143,  14,  61, 131,   4,  29,  91,   6,  29,  89,   5,  22,  75,   4,  15,  67,   4,  17,  68,   4,  25,  74,   6,  28,  76,   8,  24,  66,   8,  14,  45,   4,   6,  31,   4,   4,  20,   2,   5,  21,   4,   6,  19,   1,   2,   7,   1,   1,   6,
     2,   2,   8,   3,   3,  12,   2,   2,   7,   2,   2,  10,   2,   3,   8,   1,   2,   4,   1,   2,   5,   2,   2,   3,   2,   2,   4,   2,   2,   4,   2,   3,   5,   1,   2,   4,   1,   1,   4,   2,   3,  12,   5,   6,  21,   7,  12,  35,   4,   7,  25,   6,   8,  27,   5,  10,  32,  14,  28,  56,   7,  12,  40,
    13,  25,  57,  21,  46,  81,   1,   3,  22,   2,   2,  13,   1,   2,  12,   4,   5,  21,  12,  19,  45,   4,   6,  29,   6,   9,  36,   6,  10,  39,   8,  13,  42,   8,  15,  38,   9,  13,  32,   4,   6,  23,   4,   5,  22,   4,   6,  19,   8,  12,  29,   3,   4,  15,   5,   7,  26,   6,  12,  37,   4,   9,  38,
    10,  18,  45,  15,  25,  48,   2,   3,  20,   2,   3,  16,   3,   5,  23,   5,   8,  32,   4,   5,  31,   3,   7,  34,   7,  12,  43,   7,  10,  34,   1,   3,  18,   2,   1,   9,   1,   2,  14,   5,   6,  22,  10,  15,  40,   7,  12,  42,   8,  16,  43,   1,   2,  13,   3,   4,  19,   4,   7,  25,   2,   3,  19,
     5,   8,  21,   6,  10,  26,   5,   8,  27,  80,  74, 115,  83,  82, 122,  86,  85, 125,  85,  85, 125,  84,  84, 124,  84,  83, 123,  89,  85, 125,  94,  86, 128,  97,  89, 130, 100,  92, 135, 103,  95, 139, 101,  96, 141, 100,  94, 140, 100,  94, 139,  98,  92, 136,  99,  89, 132,  92,  81, 124,  92,  74, 118,
    89,  66, 110,  84,  52,  97,  73,  42,  82,  59,  32,  66,  56,  30,  64,  57,  32,  67,  61,  35,  71,  67,  41,  77,  75,  43,  83,  79,  46,  86,  80,  46,  86,  81,  46,  86,  81,  46,  87,  79,  45,  87,  76,  44,  84,  71,  42,  79,  62,  39,  75,  59,  40,  73,  56,  41,  74,  56,  43,  76,  59,  46,  79,
    62,  48,  81,  66,  50,  85,  70,  50,  89,  70,  50,  90,  72,  54,  94,  71,  54,  93,  72,  53,  92,  71,  50,  92,  70,  51,  91,  68,  50,  88,  68,  52,  88,  67,  53,  88,  64,  51,  87,  66,  54,  90,  65,  54,  89,  63,  53,  89,  64,  55,  90,  65,  58,  91,  63,  57,  91,  66,  60,  93,  70,  59,  93,
    77,  59,  94,  81,  57,  93,  86,  55,  91,  89,  54,  90,  92,  55,  87,  94,  53,  83,  94,  53,  81,  95,  56,  84,  94,  54,  84,  97,  62,  91,  97, 126, 157, 129, 209, 242, 171, 239, 255, 172, 238, 253, 174, 239, 254, 174, 240, 254, 166, 235, 253, 145, 221, 250, 118, 164, 200, 119,  91, 116, 118,  84, 111,
   131, 105, 118, 207, 236, 223, 227, 247, 250, 216, 242, 248, 198, 234, 240, 187, 225, 231, 174, 215, 216, 157, 197, 182, 188, 206, 120, 255, 255, 243, 254, 253, 249, 254, 254, 252, 254, 254, 253, 253, 253, 253, 254, 254, 254, 253, 254, 254, 250, 248, 237, 181, 155,  83, 159, 110, 108, 160, 111, 111, 157, 111, 114,
   153, 108, 114, 151, 103, 111, 147,  96, 102, 145,  89,  93, 141,  83,  83, 139,  76,  75, 136,  69,  63, 135,  63,  54, 135,  61,  53, 132,  59,  51, 133,  65,  61, 136,  73,  79, 137,  77,  87, 143,  81,  93, 149,  86,  98, 150,  84,  96, 156,  85,  88, 160,  78,  76, 162,  74,  65, 166,  81,  71, 160,  78,  73,
   144,  61,  57, 126,  61,  67,  84, 138, 202,  88, 190, 250,  92, 194, 242,  33,  86, 146,  38, 106, 175,  55, 170, 238,  39, 162, 238,  19, 140, 228,  15, 103, 183,   9,  79, 152,   7,  51, 121,   9,  52, 120,   8,  65, 138,  15,  93, 164,  14, 117, 195,  16, 118, 201,  13, 165, 245,  13, 180, 249,  16, 129, 223,
    35, 172, 249,  31, 150, 230,  18, 111, 196,   9,  97, 178,   9, 102, 184,  10, 106, 189,  12, 105, 188,   8,  98, 178,   8,  89, 162,   6,  49, 112,   6,  37, 101,   5,  48, 114,   7,  61, 127,  10,  72, 137,   8,  53, 115,   4,  35,  93,   8,  32,  83,   4,  13,  57,   4,  14,  62,   8,  44,  99,  12,  71, 138,
     8,  61, 131,   7,  40, 105,   7,  37,  97,   6,  36,  91,   8,  30,  81,   8,  22,  70,   4,  13,  59,   5,  11,  55,   6,  10,  54,   9,  20,  60,   1,   2,  30,   3,   4,  27,   6,   7,  27,   3,   2,  16,   2,   2,  13,   4,   4,  17,   3,   3,  12,   2,   2,   9,   2,   2,  12,   3,   3,  10,   2,   2,   7,
     1,   2,   7,   2,   2,   4,   1,   1,   4,   1,   2,   5,   1,   2,   6,   1,   1,   6,   1,   1,   5,   1,   1,   3,   1,   2,   5,   1,   1,   9,   7,   8,  24,  15,  24,  50,   6,   9,  33,   8,  15,  40,   4,   2,  22,   6,  12,  41,  13,  23,  57,   9,  15,  47,   9,  19,  46,   3,   3,  20,   2,   2,  14,
     2,   2,  15,   6,   8,  27,   9,  18,  47,   6,   9,  39,   9,  15,  49,   3,   4,  39,   6,  12,  50,   8,  20,  57,   5,  11,  37,   3,   6,  23,   5,  10,  29,   4,   6,  22,   3,   4,  13,   2,   2,  11,   4,   5,  26,   5,   9,  37,   4,  12,  43,   6,  15,  46,   2,   7,  32,   4,   5,  19,   1,   1,  12,
     3,   5,  22,   4,   7,  31,   4,   8,  34,   8,  15,  43,   8,  17,  47,   6,  15,  47,   9,  13,  37,   1,   2,  15,   4,   5,  20,   2,   3,  16,   2,   4,  26,   4,   7,  28,   3,   4,  20,   8,  16,  42,   8,  17,  49,   4,   5,  25,   3,   4,  19,   2,   2,  14,   2,   2,  16,   5,  11,  35,  86,  82, 125,
    89,  86, 128,  89,  87, 128,  89,  88, 128,  88,  87, 127,  86,  84, 125,  90,  86, 127,  96,  88, 130,  96,  90, 132, 102,  95, 138, 105,  98, 142, 104,  98, 142, 103,  99, 144, 101,  96, 142, 101,  94, 140,  99,  89, 134,  93,  82, 127,  94,  78, 121,  90,  69, 112,  84,  55, 101,  74,  45,  88,  66,  39,  78,
    63,  38,  77,  61,  40,  79,  64,  45,  84,  66,  48,  86,  69,  48,  88,  70,  48,  87,  73,  49,  89,  71,  49,  87,  71,  51,  89,  70,  49,  89,  70,  48,  88,  66,  46,  86,  62,  45,  82,  61,  47,  81,  57,  48,  81,  57,  51,  82,  57,  53,  85,  59,  53,  85,  63,  56,  90,  68,  57,  95,  68,  55,  95,
    72,  58,  99,  71,  58,  97,  69,  56,  95,  72,  58,  97,  70,  58,  97,  68,  58,  95,  68,  57,  93,  67,  59,  93,  63,  57,  92,  62,  55,  91,  62,  56,  91,  63,  58,  91,  64,  58,  92,  66,  61,  94,  65,  60,  92,  69,  61,  93,  75,  62,  95,  80,  59,  94,  83,  57,  91,  90,  57,  92,  91,  56,  91,
    93,  54,  89,  95,  55,  86,  97,  56,  87,  96,  57,  90,  96,  58,  94,  98,  81, 115, 105, 169, 219, 154, 230, 253, 176, 242, 252, 176, 242, 253, 176, 242, 253, 178, 242, 253, 177, 241, 253, 168, 235, 253, 135, 202, 235, 123, 103, 134, 121,  89, 116, 137, 128, 132, 229, 254, 251, 229, 250, 252, 215, 244, 250,
   200, 236, 246, 185, 228, 240, 173, 219, 225, 161, 206, 203, 206, 224, 170, 255, 255, 248, 253, 254, 253, 253, 254, 253, 254, 254, 254, 253, 254, 254, 254, 254, 254, 253, 254, 254, 250, 250, 244, 194, 173,  96, 165, 116, 114, 167, 118, 118, 167, 119, 123, 164, 115, 124, 159, 109, 117, 156, 104, 111, 154,  97, 100,
   150,  91,  90, 147,  83,  80, 144,  74,  66, 143,  68,  60, 143,  65,  55, 141,  67,  59, 143,  77,  81, 146,  85,  99, 154,  95, 110, 155,  95, 111, 159,  97, 113, 157,  95, 109, 160,  92, 103, 163,  87,  95, 164,  80,  74, 160,  71,  56, 160,  73,  62, 155,  72,  68, 140,  67,  65, 104, 137, 195,  83, 171, 242,
    73, 160, 235,  65, 145, 219,  47, 120, 194,  37, 117, 189,  22, 102, 175,  19, 106, 181,  16, 113, 197,   9,  89, 169,   9,  71, 147,  12,  81, 160,  17,  97, 174,  16,  97, 174,  19,  98, 169,  12, 119, 197,  15, 153, 231,  17, 172, 248,  19, 159, 246,   8, 124, 219,   7,  68, 135,  15,  55, 118,  18,  89, 166,
    21, 119, 203,  18, 125, 211,   8, 107, 192,   7,  83, 159,   5,  78, 154,   5,  89, 165,   8,  81, 151,   7,  70, 138,   4,  31,  90,   7,  21,  77,   5,  28,  83,   7,  20,  74,   6,  16,  70,   6,  36,  92,   6,  45, 105,  12,  73, 143,  14,  68, 133,   7,  29,  88,   6,  34,  93,  11,  48, 105,   3,  18,  70,
     5,  17,  65,   8,  28,  74,   6,  23,  66,  10,  25,  67,   4,  12,  53,   3,   4,  38,   5,   5,  31,   5,   5,  29,   3,   4,  23,   3,   4,  21,   6,   7,  27,   6,   7,  25,   4,   4,  18,   3,   4,  18,   2,   3,  13,   2,   3,  13,   2,   3,  10,   6,   7,  18,   2,   3,  11,   2,   2,   8,   3,   3,   9,
     2,   2,   8,   3,   3,   8,   3,   3,  10,   2,   3,   7,   1,   2,   9,   2,   3,  15,   3,   4,  20,   4,   9,  35,  10,  18,  45,   9,  12,  39,   3,   7,  30,   3,   4,  34,   6,   9,  41,   8,  19,  56,   6,  10,  39,   5,   9,  31,   2,   1,  17,   3,   5,  20,   9,  15,  37,   2,   1,  28,   6,   8,  42,
    10,  19,  59,   3,   6,  45,   9,  25,  69,  16,  38,  80,   9,  20,  54,   3,   7,  32,   4,   8,  28,   5,   7,  20,   2,   2,  11,   1,   2,  13,   4,   4,  26,   2,   4,  30,   4,  11,  45,   8,  13,  44,   4,   8,  30,   5,   7,  25,   4,   5,  24,   1,   3,  19,   3,   5,  24,   3,   7,  32,   8,  16,  49,
     6,  16,  52,   5,  17,  51,   5,  10,  37,   2,   3,  23,   2,   3,  23,   3,   3,  20,   2,   3,  19,   2,   4,  22,   3,   4,  24,   5,  14,  44,   9,  22,  53,   5,  10,  36,   4,   6,  24,   1,   2,  13,   5,  13,  33,  12,  26,  54,  90,  84, 128,  91,  88, 130,  91,  88, 130,  89,  88, 129,  89,  88, 129,
    88,  87, 127,  90,  87, 129,  92,  87, 129,  98,  91, 134, 102,  94, 138,  99,  95, 139, 101,  95, 140, 100,  96, 142, 101,  94, 140, 102,  94, 140,  99,  89, 133,  96,  86, 130,  94,  80, 123,  91,  72, 115,  83,  59, 103,  76,  53,  95,  71,  48,  91,  68,  48,  91,  65,  48,  90,  66,  54,  94,  65,  55,  93,
    65,  53,  93,  62,  50,  89,  62,  50,  88,  64,  53,  89,  67,  57,  93,  66,  56,  93,  66,  54,  92,  65,  52,  90,  62,  52,  90,  62,  54,  91,  64,  56,  92,  63,  57,  92,  63,  61,  94,  62,  62,  94,  66,  63,  96,  69,  64, 100,  70,  63, 101,  71,  62, 101,  70,  60, 100,  69,  60,  98,  71,  61, 100,
    69,  61, 100,  68,  60,  97,  67,  58,  95,  66,  59,  94,  63,  59,  94,  63,  59,  93,  61,  58,  90,  63,  60,  92,  61,  59,  90,  64,  60,  92,  65,  60,  91,  69,  58,  91,  76,  57,  91,  81,  54,  91,  88,  56,  92,  90,  56,  92,  94,  59,  95,  98,  63, 105, 102,  67, 112, 102,  69, 115,  98,  72, 118,
    97,  73, 120,  97, 114, 160, 106, 183, 237, 161, 237, 254, 179, 245, 253, 176, 244, 254, 177, 244, 254, 174, 241, 253, 173, 241, 253, 168, 234, 254, 142, 212, 245, 114, 112, 145, 113,  92, 126, 136, 170, 193, 227, 253, 254, 223, 248, 253, 210, 240, 252, 198, 234, 249, 190, 230, 248, 186, 226, 240, 175, 216, 219,
   212, 231, 191, 255, 255, 252, 252, 254, 254, 254, 254, 254, 253, 254, 254, 253, 254, 254, 253, 254, 254, 254, 254, 255, 250, 249, 244, 197, 176,  95, 169, 119, 117, 173, 124, 122, 174, 124, 129, 171, 121, 129, 168, 117, 125, 162, 109, 115, 158, 102, 102, 155,  95,  93, 153,  86,  82, 151,  78,  70, 150,  73,  63,
   150,  70,  58, 149,  74,  66, 153,  90,  99, 157,  98, 113, 161, 100, 120, 165, 104, 124, 169, 107, 127, 168, 106, 123, 167, 101, 117, 167,  96, 108, 170,  89,  88, 170,  83,  70, 168,  78,  64, 153,  63,  47, 142,  60,  52, 124,  79, 106,  87, 155, 230,  88, 173, 244,  60, 127, 207,  36,  97, 165,  38, 111, 183,
    45, 126, 200,  33, 122, 197,  46, 145, 222,  24, 117, 197,  17,  99, 173,  11,  83, 159,  14,  90, 168,  18,  81, 155,  17, 100, 175,  15, 115, 201,  18, 141, 224,  14, 144, 241,  13, 136, 230,   5,  64, 135,   4,  14,  68,   5,  31,  91,  11,  96, 172,  24, 141, 228,  22, 136, 226,  11, 118, 206,   8, 113, 197,
     8, 112, 194,   7,  94, 170,   6,  55, 121,   3,  34,  96,   8,  41, 103,   4,  20,  76,   4,  27,  84,   7,  47, 110,  14,  91, 166,  11,  89, 162,  10,  57, 121,  10,  67, 133,   6,  29,  86,   4,  15,  69,   9,  35,  86,   7,  23,  71,   4,   6,  46,   6,   8,  48,   3,   8,  51,   4,  14,  59,   7,  20,  59,
     5,  12,  46,   4,   4,  33,   6,  10,  35,   4,   6,  30,   3,   3,  22,   7,  10,  34,   7,  12,  35,   3,   4,  21,   3,   5,  21,   3,   3,  18,   4,   5,  16,   1,   2,  10,   2,   2,  11,   6,   7,  21,   7,   9,  27,   3,   3,  11,   3,   3,   9,   7,   6,  18,   6,   6,  17,   5,   6,  14,   2,   2,   8,
     6,   7,  17,   7,  10,  26,   7,   6,  25,   4,  10,  32,   8,  17,  48,   5,   8,  35,   5,   4,  25,   3,   5,  31,  12,  25,  60,  18,  37,  76,   4,   7,  38,   7,   8,  32,   3,   3,  24,   3,   4,  24,   4,   2,  25,   3,   5,  35,   4,  10,  48,   8,  18,  64,  11,  24,  69,  25,  53, 105,  20,  43,  92,
     3,   9,  44,   6,  14,  42,   5,   8,  28,   1,   1,  10,   1,   2,   7,   2,   3,  17,   4,  11,  38,   5,  14,  50,   6,  11,  46,   4,   6,  39,  14,  30,  71,  12,  26,  61,   3,   4,  22,   3,   2,  15,   1,   2,  18,   4,   7,  36,   4,  16,  52,   7,  25,  62,   8,  16,  51,   4,  15,  51,   7,  14,  46,
     4,   8,  35,   3,   4,  27,   3,   4,  24,   4,   6,  26,   4,   9,  27,   6,  16,  43,   8,  16,  41,   3,   5,  24,   2,   3,  19,   2,   1,  12,   3,   6,  26,   6,  12,  31,  87,  82, 127,  90,  86, 128,  89,  86, 127,  88,  86, 127,  88,  86, 127,  90,  87, 128,  92,  85, 127,  93,  85, 129,  94,  87, 131,
    96,  86, 132,  95,  87, 133,  96,  88, 132,  94,  86, 130,  95,  88, 131,  95,  87, 131,  96,  87, 130,  94,  87, 127,  89,  81, 122,  87,  73, 115,  82,  65, 107,  77,  59, 101,  72,  58, 101,  71,  59, 101,  69,  61, 102,  68,  63, 103,  66,  64, 103,  63,  61, 100,  60,  59,  95,  58,  56,  92,  63,  61,  95,
    62,  60,  96,  64,  59,  96,  64,  60,  95,  65,  59,  96,  66,  62,  98,  68,  64, 100,  69,  64, 101,  67,  65, 101,  67,  67, 101,  69,  69, 103,  67,  67, 101,  71,  67, 103,  71,  65, 103,  69,  63, 100,  70,  61, 100,  66,  57,  97,  66,  58,  96,  63,  57,  92,  62,  58,  92,  63,  58,  92,  61,  56,  90,
    57,  54,  87,  58,  55,  87,  55,  55,  86,  56,  54,  86,  55,  55,  85,  60,  54,  86,  64,  54,  86,  71,  54,  87,  76,  52,  88,  81,  52,  90,  90,  58,  96,  99,  69, 109, 102,  77, 125, 103,  84, 137,  99,  90, 147,  99,  96, 154,  96,  97, 155,  92,  97, 157, 100, 131, 189, 106, 183, 239, 164, 239, 253,
   177, 244, 253, 177, 244, 253, 178, 244, 253, 174, 241, 254, 167, 238, 253, 151, 227, 254, 123, 200, 242,  94, 106, 141,  91,  93, 128, 126, 190, 230, 209, 244, 252, 213, 242, 252, 198, 234, 253, 194, 233, 253, 189, 230, 252, 189, 229, 249, 183, 222, 234, 210, 231, 194, 255, 255, 249, 253, 254, 254, 254, 254, 254,
   253, 253, 253, 253, 253, 253, 253, 254, 254, 254, 254, 255, 249, 249, 243, 197, 180,  89, 171, 121, 118, 177, 125, 125, 177, 126, 130, 174, 121, 128, 170, 117, 124, 166, 109, 115, 161, 104, 102, 160,  96,  93, 158,  87,  81, 154,  79,  70, 153,  75,  63, 152,  72,  59, 154,  78,  68, 160,  96, 110, 166, 104, 124,
   168, 105, 129, 171, 110, 134, 172, 111, 134, 174, 110, 131, 172, 108, 125, 174, 106, 122, 171,  89,  87, 169,  74,  50, 168,  73,  53, 159,  67,  50, 151,  68,  61, 141,  91, 118, 108, 118, 171, 104, 178, 240,  88, 151, 226,  34,  83, 150,  28,  84, 148,  46, 112, 182,  34, 109, 183,  29, 111, 183,  16,  92, 162,
    14,  86, 156,   9,  67, 136,   8,  46, 112,   9,  65, 134,   9,  83, 154,  11,  92, 174,   9, 109, 203,  14, 120, 212,  13,  83, 164,   8,  27,  86,  12,  56, 121,  18, 111, 190,  37, 158, 248,  43, 160, 245,  26, 142, 231,  23, 131, 219,  12, 114, 197,   9, 101, 178,   8,  87, 158,   6,  39, 101,   4,  22,  81,
     5,  48, 113,  10,  71, 139,   9,  77, 150,  11,  80, 153,  10,  90, 163,   9,  71, 140,  10,  71, 137,   7,  49, 107,   4,  22,  71,   6,  19,  65,   7,  16,  56,   6,  16,  57,   4,   6,  43,   6,  15,  55,   4,  13,  52,   5,  16,  56,   4,  11,  45,   3,   8,  39,   4,   7,  37,   4,   7,  34,   3,   4,  27,
     2,   5,  31,   4,  10,  37,   4,   5,  25,   5,   7,  26,   4,   6,  26,   3,   4,  19,   3,   3,  18,   2,   2,  16,   3,   3,  18,   7,   8,  25,  20,  27,  53,  11,  16,  33,   5,   5,  15,   2,   2,  12,   4,   4,  14,   1,   2,   9,   4,   5,  16,   7,   8,  24,  17,  23,  41,  14,  17,  37,   4,   3,  26,
     9,  18,  49,   6,  12,  41,   6,   9,  36,   6,   8,  34,   8,  21,  56,   6,  11,  47,   7,  11,  45,  11,  16,  44,   4,   6,  32,   6,  11,  40,   5,   9,  41,   5,   8,  39,   8,  16,  55,   5,  17,  61,   7,  19,  67,   6,  17,  65,   8,  23,  67,   5,  15,  53,   8,  19,  49,   3,   4,  22,   2,   3,  12,
     1,   3,  11,   4,   7,  23,  14,  27,  62,  12,  28,  66,   6,  18,  57,   7,  14,  49,  20,  42,  84,  11,  26,  62,   7,  11,  31,   1,   0,  10,   1,   3,  17,   4,  12,  42,   4,  18,  57,   3,  10,  49,   5,  12,  51,   7,  18,  56,   6,  12,  43,   4,   8,  36,   3,   4,  27,   2,   3,  23,   2,   3,  22,
     3,   3,  18,   2,   1,   8,   2,   1,   9,   2,   3,  17,   3,   5,  22,   2,   4,  21,   3,   4,  22,   2,   2,  17,  86,  76, 121,  86,  77, 120,  85,  76, 120,  85,  77, 120,  85,  77, 119,  86,  76, 119,  87,  77, 119,  89,  75, 121,  90,  75, 120,  90,  76, 120,  92,  76, 120,  91,  76, 119,  89,  76, 120,
    88,  79, 121,  89,  81, 122,  91,  83, 125,  89,  82, 124,  86,  79, 121,  85,  76, 117,  80,  70, 111,  75,  66, 107,  73,  67, 108,  72,  67, 108,  72,  69, 109,  72,  71, 111,  66,  67, 108,  62,  66, 106,  61,  65, 104,  63,  67, 105,  65,  66, 106,  66,  66, 103,  64,  65, 100,  63,  62,  99,  67,  65, 100,
    68,  66, 100,  70,  65, 102,  70,  66, 102,  67,  66, 102,  68,  68, 104,  69,  69, 104,  69,  69, 103,  70,  68, 102,  66,  64,  99,  65,  59,  97,  65,  58,  95,  60,  54,  91,  59,  53,  90,  56,  52,  88,  54,  52,  84,  54,  52,  85,  52,  51,  83,  51,  50,  81,  49,  50,  81,  47,  49,  79,  48,  49,  79,
    49,  49,  78,  55,  49,  79,  61,  49,  80,  68,  48,  83,  78,  50,  89,  91,  62, 103,  97,  77, 122, 101,  90, 146, 101, 101, 163, 103, 109, 176, 103, 115, 189, 102, 116, 194, 101, 119, 198,  96, 116, 196,  93, 125, 200,  99, 181, 241, 147, 228, 251, 174, 245, 253, 173, 243, 253, 172, 241, 253, 169, 240, 253,
   159, 234, 253, 133, 219, 252, 102, 178, 231,  81,  97, 147,  77, 100, 150, 109, 177, 231, 184, 231, 253, 198, 234, 252, 193, 234, 254, 190, 233, 253, 190, 232, 253, 190, 231, 251, 182, 224, 238, 199, 226, 190, 255, 254, 245, 254, 253, 254, 253, 253, 253, 253, 253, 253, 254, 254, 254, 254, 254, 254, 254, 254, 255,
   251, 250, 242, 194, 185,  78, 168, 114, 110, 175, 120, 120, 178, 123, 126, 174, 120, 125, 171, 116, 121, 168, 110, 111, 165, 104, 102, 161,  95,  90, 161,  88,  82, 157,  81,  70, 157,  78,  62, 154,  74,  57, 155,  76,  62, 163, 101, 114, 168, 107, 129, 173, 111, 137, 173, 114, 141, 175, 116, 142, 177, 114, 137,
   175, 110, 131, 175, 105, 122, 174,  90,  85, 169,  73,  49, 169,  73,  51, 165,  69,  51, 160,  73,  65, 139,  55,  45, 126,  50,  47, 111,  95, 128, 114, 163, 226,  94, 147, 221,  59, 116, 182,  19,  66, 125,  18,  73, 134,  26,  91, 156,  20,  94, 162,  16,  92, 159,  13,  86, 153,  11,  85, 150,  12,  73, 142,
     7,  46, 113,  11,  50, 118,   7,  41, 111,  10,  53, 122,  11,  48, 116,  13,  79, 151,  26, 120, 203,  36, 149, 237,  34, 146, 236,  21, 135, 223,  26, 138, 224,  17, 127, 213,  14, 115, 199,   7,  80, 154,   6,  28,  82,   3,   9,  61,   5,  31,  93,   6,  66, 134,   9,  83, 157,  10,  84, 161,   6,  87, 165,
     7,  75, 150,   9,  66, 130,   5,  36,  89,   4,  23,  64,   4,   5,  41,   5,  18,  57,   4,   9,  47,   4,  13,  55,   5,  16,  58,  13,  48, 100,   6,  14,  53,   4,  10,  44,   6,  17,  51,   6,  10,  39,   4,   9,  37,   5,  10,  38,   6,   8,  39,   6,   8,  38,   4,   6,  31,   5,   8,  35,   5,  10,  36,
     6,   8,  29,   4,   4,  20,   7,   8,  24,   4,   4,  21,   3,   5,  22,   8,  10,  28,   9,  12,  36,   4,   6,  23,   5,   5,  19,   4,   3,  17,   6,   8,  22,   2,   2,  11,   3,   4,  15,   3,   4,  19,   4,   6,  22,  13,  21,  49,   8,   9,  34,   7,  12,  43,  19,  31,  64,  11,  18,  48,   5,   6,  33,
     7,  14,  52,  15,  25,  61,   9,  25,  60,   6,  16,  47,   3,   9,  41,  10,  23,  57,   4,   9,  42,   3,   4,  37,   6,   9,  51,  16,  37,  86,  12,  30,  80,   4,  13,  58,  10,  26,  70,   5,   9,  46,   5,  12,  41,   4,   7,  24,   2,   2,  14,   1,   2,  14,   2,   3,  20,   4,   9,  41,   9,  25,  66,
     5,  16,  60,   7,  17,  59,   8,  21,  58,  12,  24,  57,   5,   8,  28,   2,   2,  15,   3,   5,  21,   9,  22,  54,   6,  22,  64,   7,  21,  62,  11,  31,  73,  12,  30,  70,   8,  15,  47,   7,  10,  39,   4,   7,  32,   6,  12,  33,   3,   3,  19,   2,   2,  10,   1,   2,   8,   3,   3,  14,   4,   5,  21,
     2,   3,  18,   5,   8,  29,   3,   5,  23,   2,   2,  17,  81,  65, 108,  83,  66, 109,  82,  64, 108,  82,  65, 108,  85,  68, 112,  84,  66, 110,  84,  66, 109,  87,  67, 111,  86,  67, 111,  87,  68, 112,  88,  69, 112,  88,  70, 113,  85,  70, 113,  86,  74, 116,  85,  76, 118,  84,  77, 118,  85,  79, 120,
    81,  76, 116,  80,  76, 116,  77,  73, 111,  72,  71, 111,  70,  70, 111,  73,  73, 114,  73,  73, 113,  71,  74, 114,  65,  70, 111,  62,  68, 108,  62,  69, 108,  63,  68, 109,  64,  66, 106,  62,  64, 103,  64,  64, 103,  63,  65, 103,  62,  64, 101,  64,  65, 101,  65,  65, 100,  69,  67, 102,  72,  69, 106,
    70,  68, 103,  67,  63, 100,  67,  66, 101,  65,  62,  96,  60,  58,  93,  58,  59,  91,  57,  55,  90,  55,  52,  87,  51,  50,  83,  46,  46,  80,  43,  45,  75,  42,  44,  76,  40,  43,  74,  40,  42,  72,  42,  44,  74,  39,  41,  71,  40,  41,  71,  42,  42,  70,  49,  42,  73,  58,  43,  76,  69,  48,  84,
    85,  63, 105,  94,  81, 131, 100,  98, 159, 106, 111, 187, 107, 122, 202, 109, 130, 216, 105, 135, 221, 106, 142, 227, 103, 142, 226,  96, 137, 224,  89, 132, 218,  94, 166, 236, 118, 202, 250, 169, 241, 254, 169, 242, 253, 169, 241, 253, 166, 238, 253, 149, 231, 253, 116, 209, 251,  81, 156, 217,  74,  94, 159,
    71, 101, 164, 100, 164, 228, 158, 219, 251, 182, 230, 253, 185, 231, 253, 184, 231, 253, 185, 231, 253, 183, 228, 252, 172, 219, 238, 185, 218, 178, 255, 255, 239, 253, 253, 254, 252, 254, 253, 253, 254, 254, 253, 254, 254, 254, 254, 254, 253, 254, 254, 250, 249, 239, 193, 183,  80, 164, 109, 104, 173, 117, 115,
   175, 119, 120, 174, 118, 120, 172, 114, 115, 167, 108, 106, 163, 100,  95, 163,  93,  88, 161,  86,  78, 160,  82,  68, 157,  76,  59, 156,  75,  58, 157,  77,  63, 160,  96, 107, 170, 109, 133, 176, 114, 144, 179, 119, 150, 180, 120, 150, 182, 117, 146, 179, 114, 137, 175, 106, 123, 171,  88,  83, 169,  73,  47,
   167,  70,  47, 166,  71,  50, 163,  74,  62, 144,  61,  49, 124,  43,  33, 115,  39,  35, 117,  86, 118, 119, 166, 222, 120, 195, 250,  63, 118, 188,  29,  85, 148,  26,  89, 154,  13,  83, 148,   8,  68, 131,   8,  43, 101,  11,  64, 124,   8,  38,  99,  16,  66, 132,   7,  50, 118,  10,  65, 138,  16,  80, 157,
    27, 104, 186,  40, 143, 231,  56, 160, 245,  43, 149, 234,  16, 122, 209,   9, 111, 195,  12, 110, 189,  14,  95, 171,   9,  54, 117,   6,  27,  87,   5,  14,  65,   7,  32,  91,   8,  61, 129,   7,  67, 139,  10,  74, 146,  12,  95, 170,   8,  80, 152,   8,  70, 133,   6,  32,  79,   3,  13,  52,   2,   3,  31,
     3,   3,  28,   2,   2,  24,   4,   5,  31,   5,  14,  54,   5,  20,  60,   4,  13,  51,   5,   8,  43,   4,   7,  38,   9,  13,  44,   3,   7,  35,   3,   3,  27,   4,   8,  39,   7,  12,  41,   3,   3,  29,   5,   7,  34,   5,   8,  36,   5,   6,  33,   6,   9,  35,   6,   8,  30,   5,   8,  27,  11,  13,  33,
     2,   2,  14,   3,   2,  15,   4,   5,  24,   9,  10,  34,   4,   3,  19,   6,   7,  24,  13,  20,  39,   4,   5,  19,   5,   6,  20,   8,  10,  33,  13,  22,  52,  19,  32,  68,   4,   7,  32,   7,  14,  45,  17,  33,  72,   7,  13,  42,   4,   9,  40,   9,  25,  64,  13,  35,  78,   9,  29,  68,   4,   4,  35,
     6,  15,  51,   4,  14,  47,   2,   2,  31,   3,   4,  38,   4,  10,  54,   5,  25,  77,   5,  28,  80,   4,   8,  57,   5,  11,  55,   4,   7,  42,   2,   4,  28,   3,   4,  20,   2,   3,  13,   1,   3,  14,   3,   6,  31,   3,   8,  43,   5,  16,  58,   6,  23,  65,   7,  14,  54,   4,  10,  44,   3,   5,  28,
     6,   8,  24,   1,   1,  11,   2,   3,  19,   2,  10,  40,   9,  32,  74,  21,  50,  96,  11,  27,  70,   8,  20,  59,   9,  20,  56,   5,  10,  39,   4,   5,  31,   7,  15,  41,   2,   3,  14,   2,   1,  10,   2,   4,  14,   5,   7,  20,   2,   2,  15,   3,   7,  29,   4,  12,  35,   3,   4,  23,   4,   5,  23,
    77,  57, 100,  78,  58, 101,  79,  59, 102,  78,  58, 101,  80,  59, 102,  80,  59, 103,  79,  58, 102,  82,  61, 104,  81,  60, 103,  82,  61, 105,  82,  62, 105,  83,  63, 106,  80,  63, 106,  81,  68, 110,  82,  72, 114,  80,  73, 114,  80,  74, 115,  75,  74, 114,  74,  75, 114,  73,  74, 114,  72,  73, 114,
    72,  74, 115,  71,  74, 115,  68,  71, 112,  61,  67, 109,  60,  66, 108,  56,  62, 103,  56,  62, 102,  55,  60, 100,  58,  61, 101,  57,  61, 100,  58,  62, 102,  58,  62, 101,  58,  61, 100,  62,  63,  99,  61,  62,  99,  63,  63,  98,  65,  65,  99,  64,  63,  98,  62,  61,  96,  59,  59,  92,  57,  57,  91,
    55,  56,  89,  53,  55,  86,  50,  52,  84,  46,  47,  81,  43,  44,  77,  38,  41,  73,  35,  39,  69,  34,  38,  68,  33,  36,  66,  32,  35,  64,  34,  37,  66,  34,  37,  66,  34,  38,  66,  37,  38,  66,  44,  39,  69,  55,  44,  77,  73,  58,  99,  84,  75, 124,  94,  95, 154, 105, 112, 185, 109, 127, 211,
   109, 141, 226, 108, 151, 237, 106, 158, 243, 105, 163, 244, 102, 161, 243,  98, 157, 242,  92, 146, 232,  86, 142, 226,  93, 171, 238, 127, 210, 249, 155, 230, 252, 158, 235, 254, 151, 232, 254, 125, 217, 251,  98, 184, 244,  85, 141, 213,  71,  99, 177,  64,  98, 172,  94, 153, 222, 138, 202, 246, 173, 223, 253,
   178, 227, 253, 178, 227, 252, 178, 226, 253, 174, 222, 252, 152, 206, 230, 171, 204, 160, 255, 255, 230, 254, 254, 253, 253, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 254, 253, 254, 254, 250, 250, 239, 198, 188,  87, 158, 104,  96, 167, 110, 108, 172, 115, 115, 173, 114, 115, 170, 110, 110, 168, 103, 101,
   165,  97,  92, 164,  92,  85, 163,  85,  76, 159,  79,  63, 159,  76,  56, 158,  74,  55, 157,  75,  59, 159,  91,  99, 170, 112, 136, 179, 120, 148, 182, 122, 156, 184, 123, 157, 185, 121, 152, 181, 117, 142, 172, 104, 120, 170,  86,  79, 171,  75,  49, 170,  72,  48, 167,  70,  47, 161,  67,  47, 148,  58,  38,
   131,  48,  33, 118,  39,  32, 114,  45,  47, 126, 118, 154, 143, 203, 246, 116, 189, 244,  74, 151, 223,  62, 140, 215,  32, 110, 181,  36, 123, 197,  40, 127, 203,  32, 116, 193,  31, 109, 183,  29, 111, 187,  16,  94, 171,  35, 113, 196,  45, 127, 215,  40, 125, 212,  42, 138, 225,  34, 131, 219,  20, 119, 202,
    11, 102, 179,  12,  96, 171,   7,  67, 134,   6,  35,  92,   5,  14,  71,   4,  18,  76,   7,  38,  93,   8,  63, 126,   6,  46, 109,   7,  72, 139,  10,  72, 138,   7,  44,  96,   6,  18,  47,   3,   2,  21,   4,   5,  32,   3,   6,  32,   3,   3,  26,   3,   4,  29,   5,  13,  49,   6,  25,  71,   6,  22,  65,
     3,   7,  44,   3,   8,  40,   5,  13,  49,   7,  15,  50,   5,   7,  33,   4,   5,  33,   7,   9,  39,  10,  17,  51,  14,  23,  54,   4,  10,  43,  10,  21,  55,  11,  21,  59,  12,  22,  58,  10,  16,  48,  14,  19,  49,   8,  16,  45,   4,   5,  27,   2,   3,  19,   3,   3,  18,   6,   9,  34,   5,   7,  29,
     4,   5,  24,   5,   7,  26,   4,   4,  22,   6,   7,  21,   3,   6,  17,  16,  29,  60,  15,  32,  67,   9,  25,  64,   5,   9,  42,  11,  24,  64,   7,  15,  51,   3,   5,  37,   5,  14,  47,  10,  28,  69,  10,  29,  73,  11,  25,  64,   4,   8,  44,   8,  24,  62,   5,  10,  44,   3,   5,  35,   2,   5,  39,
     4,   7,  52,   5,  21,  73,   8,  29,  82,  10,  32,  82,  10,  29,  72,  11,  26,  62,   4,  11,  36,   4,   6,  19,   2,   1,  12,   3,   3,  19,   5,  14,  45,   7,  27,  68,  12,  41,  85,  12,  40,  82,   6,  14,  53,   8,  19,  52,   5,  16,  43,   1,   1,  15,   1,   2,  12,   2,   4,  21,   5,  13,  47,
    10,  29,  73,   6,  23,  69,   7,  23,  68,  10,  25,  65,   4,  13,  47,   9,  22,  53,   2,   3,  33,   3,   7,  37,   3,   4,  27,   2,   3,  19,   4,   5,  16,   2,   1,  12,   3,   5,  21,   5,  10,  35,   2,   3,  27,   2,   4,  26,   2,   4,  24,  70,  47,  91,  73,  50,  93,  72,  50,  93,  73,  51,  94,
    74,  50,  95,  75,  51,  95,  75,  52,  96,  77,  54,  98,  77,  54,  98,  75,  55,  97,  77,  57, 100,  76,  56,  99,  76,  57, 100,  75,  58, 101,  73,  62, 104,  72,  66, 106,  70,  67, 108,  70,  70, 110,  70,  71, 110,  68,  71, 111,  65,  68, 110,  60,  67, 110,  60,  67, 108,  57,  63, 105,  54,  60, 100,
    50,  57,  97,  48,  54,  96,  47,  54,  94,  46,  52,  92,  50,  55,  95,  51,  58,  95,  54,  58,  96,  56,  60,  99,  54,  59,  97,  57,  60,  96,  56,  57,  93,  57,  58,  92,  60,  61,  92,  59,  59,  92,  59,  58,  92,  55,  57,  89,  51,  53,  84,  48,  50,  82,  46,  48,  81,  43,  45,  78,  39,  41,  74,
    35,  39,  71,  31,  35,  68,  29,  35,  66,  27,  32,  65,  25,  31,  62,  26,  31,  61,  27,  32,  61,  28,  33,  62,  32,  36,  65,  34,  39,  68,  44,  43,  74,  58,  54,  89,  70,  67, 113,  82,  84, 139,  92,  99, 169, 102, 120, 201, 107, 138, 224, 107, 152, 239, 107, 166, 247, 105, 174, 252, 108, 178, 252,
   105, 176, 253,  99, 172, 250,  93, 156, 243,  86, 144, 230,  83, 132, 219,  92, 143, 218,  99, 178, 237, 105, 185, 242, 103, 186, 244,  97, 179, 243,  95, 164, 235,  89, 130, 213,  78, 110, 195,  71, 102, 185,  85, 134, 208, 114, 184, 243, 155, 213, 252, 163, 219, 252, 168, 221, 254, 164, 218, 251, 150, 208, 245,
   119, 177, 207, 155, 181, 127, 255, 255, 224, 254, 254, 249, 253, 254, 252, 254, 254, 254, 253, 253, 253, 254, 254, 254, 254, 254, 253, 251, 252, 238, 203, 195,  91, 155,  97,  91, 165, 106, 100, 171, 110, 109, 173, 109, 110, 170, 105, 103, 169, 102,  97, 166,  95,  86, 163,  89,  79, 163,  86,  72, 160,  80,  63,
   160,  75,  54, 157,  72,  51, 157,  73,  55, 160,  89,  94, 171, 111, 132, 176, 115, 142, 181, 120, 150, 182, 120, 150, 183, 120, 149, 181, 116, 140, 173, 104, 121, 169,  84,  78, 168,  72,  46, 168,  70,  42, 167,  71,  44, 164,  68,  44, 154,  60,  38, 137,  51,  31, 125,  42,  27, 117,  44,  39, 113,  50,  55,
   131, 119, 153, 144, 210, 247, 127, 208, 254, 100, 181, 248,  66, 149, 225,  48, 133, 212,  57, 139, 219,  44, 123, 205,  47, 122, 204,  38, 114, 196,  29, 107, 186,  24, 102, 181,  40, 118, 201,  38, 116, 199,  20, 101, 177,  19, 102, 178,   5,  84, 155,   7,  73, 139,   5,  45, 106,   6,  23,  82,   7,  31,  91,
     5,  38,  95,   7,  53, 110,   9,  40,  94,   4,  19,  68,   4,  27,  78,   7,  26,  69,   8,  28,  64,   4,   6,  31,   4,   5,  22,   2,   3,  24,   2,   2,  19,   4,   7,  39,   5,  16,  56,   6,  22,  70,   6,  39,  94,   6,  36,  88,   7,  30,  75,   6,  10,  46,   3,   7,  38,   6,  17,  53,   6,  14,  53,
     7,  17,  56,   8,  15,  48,  19,  39,  82,  19,  32,  68,   7,  11,  41,   6,   8,  39,  13,  25,  69,  19,  40,  86,  10,  21,  60,   7,  11,  42,  17,  28,  60,  19,  33,  66,  20,  33,  64,   9,  13,  35,   7,  10,  34,  13,  20,  50,   7,  13,  40,   6,   8,  36,   7,   9,  34,  10,  13,  37,   7,   7,  24,
     1,   2,  17,   8,  15,  45,  16,  32,  72,   6,  22,  64,   5,   7,  40,  18,  38,  77,   9,  18,  54,   6,  11,  41,  17,  33,  68,  13,  30,  72,  10,  34,  74,   5,   8,  40,   6,  11,  47,  15,  38,  80,   8,  18,  54,   6,  12,  44,   2,   6,  39,   7,  18,  64,   9,  26,  79,   7,  20,  74,  11,  40,  88,
     4,  20,  63,   5,  12,  47,   5,   8,  34,   4,   8,  22,   2,   2,  15,   2,   3,  22,   4,  11,  46,  10,  34,  78,   5,  25,  72,   2,  20,  64,   4,  11,  48,   5,  14,  45,   6,  12,  40,   3,   3,  20,   1,   2,  14,   2,   3,  22,   5,  11,  47,   6,  27,  74,   6,  25,  73,   5,  18,  63,   7,  17,  56,
     4,   5,  31,   6,  13,  42,   4,   8,  39,   5,  19,  54,   4,  10,  40,   2,   3,  21,   3,   3,  13,   2,   4,  16,   7,  11,  33,   4,   5,  31,   4,   7,  33,   3,   7,  30,   2,   4,  23,  58,  37,  75,  62,  40,  79,  61,  41,  81,  61,  41,  81,  63,  40,  83,  65,  41,  83,  67,  42,  84,  68,  45,  87,
    66,  44,  86,  64,  44,  86,  66,  47,  89,  66,  47,  89,  64,  46,  88,  63,  47,  89,  61,  50,  92,  59,  54,  93,  60,  60,  99,  61,  62, 102,  59,  64, 104,  58,  64, 105,  55,  61, 103,  50,  57,  99,  47,  55,  96,  45,  54,  92,  44,  51,  88,  41,  49,  87,  40,  47,  87,  41,  48,  86,  43,  50,  89,
    45,  51,  90,  47,  54,  90,  50,  56,  91,  51,  56,  94,  52,  56,  93,  52,  56,  92,  53,  54,  89,  53,  56,  88,  53,  55,  88,  52,  54,  85,  52,  54,  86,  50,  52,  82,  48,  50,  80,  46,  48,  79,  41,  45,  75,  37,  41,  72,  34,  38,  71,  29,  35,  68,  22,  29,  64,  21,  30,  64,  21,  30,  66,
    21,  30,  64,  20,  30,  61,  26,  33,  66,  25,  34,  69,  29,  37,  72,  35,  43,  80,  44,  51,  88,  55,  60, 102,  66,  72, 122,  80,  87, 150,  91, 106, 180,  96, 125, 209, 104, 144, 229, 104, 161, 244, 105, 172, 251, 106, 179, 253, 108, 186, 253, 106, 183, 253, 103, 177, 252,  97, 163, 247,  88, 148, 234,
    84, 131, 220,  82, 115, 201,  81, 110, 190,  89, 124, 201,  91, 135, 209,  94, 141, 220,  91, 136, 220,  88, 127, 217,  84, 121, 209,  78, 114, 200,  77, 113, 197,  95, 151, 223, 127, 192, 243, 144, 203, 247, 145, 202, 247, 139, 195, 240, 117, 174, 218,  90, 132, 168, 114, 130, 104, 253, 255, 210, 254, 254, 244,
   254, 254, 246, 254, 254, 250, 254, 253, 250, 254, 254, 252, 254, 254, 250, 251, 251, 233, 202, 194,  93, 151,  90,  83, 162, 101,  94, 170, 105, 103, 169, 104, 102, 170, 101,  96, 168,  96,  91, 166,  90,  81, 165,  86,  73, 162,  82,  65, 162,  78,  58, 160,  73,  51, 159,  72,  49, 157,  70,  52, 161,  90,  96,
   168, 104, 123, 172, 109, 130, 175, 112, 136, 177, 113, 138, 178, 113, 137, 176, 112, 132, 171, 103, 119, 167,  84,  79, 166,  70,  41, 167,  72,  39, 167,  70,  37, 165,  68,  37, 157,  62,  32, 146,  54,  30, 134,  48,  27, 116,  36,  17, 108,  32,  17, 115,  56,  58, 124, 105, 153, 136, 178, 219, 111, 183, 245,
    97, 167, 240,  80, 153, 230,  48, 124, 205,  44, 121, 201,  30, 109, 190,  18, 100, 180,  16,  95, 171,   9,  81, 155,   8,  77, 148,  10,  78, 147,   7,  67, 135,   4,  53, 113,   7,  56, 120,   6,  40,  99,   8,  39,  99,   6,  42, 100,   7,  56, 118,   7,  60, 117,   9,  38,  91,   7,  31,  84,   6,  17,  61,
     6,  19,  63,   6,  13,  48,   3,   2,  20,   4,   6,  27,   4,  10,  41,   4,   7,  34,   4,   6,  32,   5,  19,  59,   9,  45, 102,   9,  49, 108,   5,  40,  93,   8,  37,  87,   8,  17,  59,   5,  15,  51,   7,  21,  57,   9,  23,  59,   6,  20,  59,  10,  27,  68,  18,  42,  86,  14,  34,  77,  11,  26,  68,
     5,  10,  47,   5,  12,  52,  15,  31,  79,  20,  45,  95,   9,  23,  62,   4,   6,  33,   6,   9,  41,  13,  24,  56,  10,  17,  45,  13,  20,  50,  10,  16,  43,   5,  12,  40,   7,  13,  42,   6,   9,  35,   4,   5,  30,   6,  11,  33,   6,   8,  22,   2,   3,  18,   8,  13,  41,  11,  21,  54,  15,  33,  76,
     9,  19,  55,   5,  16,  51,  10,  23,  59,   6,  16,  51,   8,  23,  63,  14,  33,  78,   8,  22,  63,   5,  15,  53,  11,  16,  53,  17,  38,  80,  10,  31,  70,   4,   7,  37,   3,   5,  36,   6,  25,  71,  12,  46, 100,  13,  46,  99,  10,  37,  88,   5,  13,  57,   4,   9,  45,   4,   5,  30,   3,   3,  21,
     2,   3,  16,   5,   9,  32,   5,  20,  57,   8,  23,  66,   6,  30,  75,   3,  13,  56,   4,  16,  54,   8,  20,  53,   6,  15,  44,   4,   4,  22,   2,   3,  16,   3,   4,  21,   8,  17,  52,  13,  37,  84,  19,  55, 105,   7,  26,  70,   4,  12,  53,   6,  11,  47,   5,   9,  39,   9,  23,  57,   7,  21,  57,
     6,  13,  45,   2,   5,  24,   1,   2,  12,   2,   5,  24,   3,   7,  32,   4,   7,  32,   3,   6,  32,   2,   3,  24,   2,   3,  22,  48,  31,  65,  50,  33,  68,  51,  33,  71,  52,  34,  72,  55,  36,  75,  55,  36,  77,  56,  37,  77,  57,  37,  78,  57,  38,  80,  60,  41,  82,  58,  42,  83,  57,  42,  83,
    56,  42,  84,  55,  44,  85,  55,  47,  87,  54,  53,  88,  55,  56,  93,  53,  57,  96,  51,  58,  97,  50,  57,  96,  46,  54,  94,  42,  50,  90,  41,  49,  88,  37,  45,  83,  35,  44,  80,  34,  41,  78,  32,  41,  76,  33,  42,  77,  38,  45,  80,  41,  47,  83,  44,  49,  85,  48,  51,  86,  47,  52,  86,
    46,  50,  85,  46,  49,  84,  48,  51,  84,  48,  51,  83,  48,  51,  82,  49,  50,  81,  47,  50,  80,  50,  50,  81,  45,  46,  77,  45,  46,  75,  42,  45,  75,  34,  39,  71,  29,  36,  70,  25,  35,  69,  24,  34,  68,  23,  33,  70,  24,  34,  72,  21,  32,  70,  24,  36,  74,  26,  38,  77,  28,  42,  82,
    29,  44,  86,  32,  47,  92,  42,  57, 105,  52,  67, 117,  63,  77, 135,  72,  91, 159,  86, 108, 188,  92, 126, 212,  99, 144, 230, 101, 161, 243, 105, 171, 250, 104, 179, 253, 107, 184, 253, 104, 182, 253, 100, 175, 251,  95, 162, 245,  87, 147, 235,  86, 132, 220,  86, 120, 205,  83, 110, 191,  81, 106, 184,
    86, 112, 193,  92, 124, 211,  90, 130, 218,  88, 131, 221,  90, 128, 219,  88, 126, 213,  85, 122, 207,  80, 115, 200,  86, 124, 199, 103, 145, 204, 103, 150, 204, 101, 142, 195,  86, 120, 170,  68,  91, 139,  79,  93, 119, 249, 250, 188, 253, 254, 235, 254, 253, 238, 254, 254, 241, 254, 254, 243, 255, 254, 246,
   254, 254, 243, 250, 250, 222, 198, 190,  84, 148,  85,  77, 157,  93,  84, 167, 100,  95, 168,  97,  93, 168,  95,  89, 166,  90,  81, 164,  86,  75, 163,  84,  65, 162,  79,  57, 160,  73,  49, 159,  71,  46, 158,  70,  46, 156,  70,  49, 159,  88,  94, 164,  98, 113, 165, 100, 118, 170, 105, 124, 172, 107, 127,
   172, 108, 126, 172, 104, 123, 168,  96, 111, 166,  82,  80, 164,  69,  37, 166,  69,  33, 166,  68,  30, 166,  69,  32, 160,  62,  27, 154,  56,  25, 142,  49,  18, 129,  42,  18, 118,  37,  19, 106,  30,  14, 110,  40,  35, 119,  66,  78, 134, 128, 182, 121, 133, 194, 122, 168, 235, 110, 167, 243,  96, 157, 239,
    85, 151, 238,  64, 136, 216,  41, 113, 191,  25,  96, 171,  15,  86, 156,   6,  72, 141,   4,  49, 115,   5,  33,  89,   4,  34,  91,   7,  41,  99,   7,  36,  90,   9,  48, 101,   6,  43,  93,   5,   7,  43,   4,   7,  42,   6,  17,  61,   4,  17,  61,   4,  17,  60,   4,   8,  44,   5,  12,  45,   8,  32,  73,
    10,  44,  91,   6,  15,  54,   8,  30,  76,   9,  37,  89,   9,  47, 106,  12,  56, 113,   7,  29,  86,   7,  24,  74,   7,  16,  54,   5,  11,  44,  10,  25,  61,   7,  19,  53,   8,  19,  51,   7,  19,  57,   6,  12,  52,   6,  11,  51,  10,  18,  55,   9,  17,  56,  12,  27,  68,  19,  49, 102,  24,  52, 104,
    22,  39,  83,  11,  22,  57,  13,  26,  59,  24,  38,  75,   3,   5,  35,   4,   8,  36,   4,   7,  33,   5,   9,  37,   5,   7,  35,   7,  11,  36,   4,   6,  33,   5,   8,  28,   7,   9,  25,   3,   6,  22,  13,  22,  51,  14,  27,  65,  16,  37,  77,  16,  27,  60,   3,   9,  39,  12,  26,  66,  11,  29,  69,
     8,  25,  66,  10,  29,  75,  14,  38,  85,  12,  21,  60,   5,  12,  51,  17,  40,  85,   7,  20,  59,   3,   3,  28,   3,   6,  36,   4,  24,  67,   8,  48, 104,  16,  53, 108,   9,  38,  88,   9,  28,  72,   8,  15,  53,   4,   6,  33,   3,   5,  26,   2,   2,  20,   1,   3,  19,   3,  14,  49,   4,  19,  62,
     5,  22,  66,   7,  23,  66,   6,  17,  57,   5,  13,  49,   5,  12,  39,   3,   4,  20,   5,  10,  26,   1,   1,  13,   5,   8,  33,  13,  30,  75,   5,  20,  71,   3,  13,  62,   4,  17,  61,   3,   9,  47,   5,   8,  41,   5,  13,  46,   5,  15,  49,   4,  13,  43,   4,   6,  28,   4,   5,  22,   1,   2,  21,
     2,   3,  27,   2,   5,  31,   3,   7,  33,   3,   4,  24,   3,   4,  21,  41,  27,  60,  44,  30,  63,  45,  33,  68,  46,  34,  71,  49,  37,  73,  51,  38,  75,  52,  37,  76,  56,  40,  79,  56,  42,  81,  58,  44,  83,  58,  45,  84,  56,  47,  85,  56,  48,  85,  57,  51,  85,  56,  52,  88,  54,  55,  87,
    51,  53,  89,  48,  53,  91,  45,  53,  91,  42,  50,  88,  41,  49,  88,  35,  46,  82,  36,  44,  81,  32,  42,  76,  29,  38,  72,  30,  37,  69,  27,  34,  66,  32,  37,  69,  35,  41,  73,  39,  41,  76,  40,  43,  78,  43,  46,  79,  43,  48,  80,  44,  48,  80,  44,  47,  79,  46,  48,  79,  47,  49,  79,
    46,  47,  77,  47,  46,  77,  45,  46,  76,  47,  46,  76,  43,  43,  73,  43,  41,  71,  40,  42,  72,  37,  42,  74,  34,  40,  78,  34,  44,  83,  32,  44,  85,  31,  46,  90,  29,  47,  92,  24,  44,  92,  24,  45,  93,  27,  49,  97,  27,  51, 101,  28,  55, 107,  31,  58, 113,  37,  65, 123,  47,  74, 134,
    56,  82, 147,  69,  96, 171,  80, 110, 191,  87, 128, 214,  94, 142, 229,  94, 156, 241,  98, 165, 247,  98, 172, 249,  99, 173, 250,  97, 171, 250,  94, 164, 245,  91, 153, 238,  88, 140, 227,  87, 127, 215,  85, 117, 201,  85, 110, 191,  86, 108, 185,  89, 114, 193,  91, 124, 210,  93, 133, 220,  93, 135, 224,
    92, 134, 223,  89, 130, 220,  89, 127, 216,  85, 120, 206,  82, 111, 194,  76, 103, 180,  73,  96, 171,  69,  91, 163,  68,  86, 153,  63,  80, 142,  90, 108, 137, 226, 223, 163, 253, 254, 221, 253, 253, 227, 253, 254, 229, 253, 254, 231, 254, 254, 232, 252, 253, 230, 248, 249, 202, 188, 177,  59, 144,  78,  71,
   156,  87,  78, 163,  92,  85, 165,  92,  84, 163,  90,  80, 164,  87,  74, 162,  83,  65, 162,  79,  58, 161,  76,  50, 159,  71,  43, 157,  68,  37, 156,  66,  36, 157,  68,  44, 157,  81,  81, 161,  90, 104, 163,  95, 110, 165,  98, 115, 166,  99, 116, 166,  97, 114, 168,  96, 112, 164,  88, 101, 165,  78,  74,
   163,  67,  35, 164,  65,  26, 167,  68,  24, 165,  65,  20, 165,  66,  24, 159,  59,  22, 150,  52,  16, 137,  44,  15, 124,  36,  10, 112,  32,  12, 107,  29,  18, 106,  38,  37, 116,  61,  78, 113,  62,  85, 109,  98, 153,  94, 135, 213,  95, 152, 236,  97, 167, 245, 108, 186, 252,  82, 151, 236,  66, 134, 219,
    35, 103, 178,  11,  83, 152,  15,  79, 148,   5,  30,  88,   6,  42,  97,   8,  46,  96,   4,  12,  48,   5,  11,  47,   4,  14,  52,   4,  11,  48,   5,  26,  74,   7,  43,  97,   8,  50, 107,   8,  32,  82,   8,  27,  74,   8,  24,  64,   4,  10,  45,   6,  11,  48,   8,  25,  66,   6,  18,  65,   6,  22,  75,
     5,  27,  85,  10,  37,  93,   7,  30,  81,   9,  23,  69,  12,  29,  71,   4,  13,  42,   3,  14,  48,   4,   5,  33,   4,   4,  33,   6,  11,  44,  10,  22,  63,  13,  25,  64,   7,  14,  52,  15,  35,  75,  15,  33,  77,   7,  24,  72,   6,  18,  65,  16,  30,  73,  18,  35,  73,  26,  52,  99,   2,   7,  40,
     8,  14,  47,   8,  14,  46,   8,  11,  40,   8,  11,  39,   4,   7,  36,   3,   3,  25,   5,  11,  39,   5,  10,  36,  10,  15,  41,   3,   2,  20,   5,   5,  28,   9,  17,  54,   5,   9,  41,   7,  12,  42,   6,  13,  46,  15,  41,  79,   4,  13,  51,   4,   6,  43,   9,  30,  74,  15,  49,  98,   4,  11,  54,
     5,  12,  55,   7,  24,  71,   7,  15,  54,   8,  16,  47,   3,   7,  36,   4,  16,  54,  14,  55, 112,  15,  52, 107,   3,  27,  80,   6,  28,  77,  19,  41,  82,   3,   7,  38,   5,  10,  38,   3,   3,  23,   3,   4,  27,   4,  10,  48,   5,  21,  65,   5,  20,  65,  16,  47,  92,   7,  26,  67,   5,  17,  54,
     5,  11,  42,   3,   3,  24,   2,   2,  19,   2,   1,  17,   3,   2,  23,   2,   7,  46,   5,  20,  71,   3,  18,  71,   5,  32,  79,   5,  16,  59,   5,  13,  45,   3,   5,  36,   4,   8,  37,   3,   5,  27,   3,   6,  22,   2,   4,  15,   5,  10,  39,   4,   9,  39,   2,   6,  36,   2,   5,  30,   2,   4,  22,
     3,   3,  16,  39,  28,  60,  40,  34,  64,  42,  36,  67,  45,  40,  70,  48,  42,  75,  49,  43,  77,  52,  46,  80,  55,  47,  83,  56,  45,  84,  56,  47,  85,  58,  49,  85,  58,  52,  87,  58,  52,  87,  57,  53,  85,  54,  52,  85,  50,  51,  84,  48,  49,  84,  45,  49,  84,  41,  48,  83,  37,  46,  81,
    34,  42,  78,  32,  42,  77,  30,  39,  73,  27,  34,  66,  26,  34,  65,  26,  31,  59,  27,  31,  59,  30,  32,  62,  33,  35,  64,  35,  37,  67,  37,  38,  69,  39,  41,  72,  40,  43,  73,  42,  45,  74,  41,  43,  73,  44,  43,  74,  46,  45,  75,  46,  43,  73,  46,  42,  73,  47,  42,  72,  47,  40,  72,
    48,  41,  71,  44,  38,  69,  43,  40,  72,  44,  47,  81,  45,  51,  96,  45,  57, 108,  42,  59, 114,  41,  62, 119,  35,  60, 116,  31,  58, 117,  27,  59, 119,  25,  60, 120,  25,  63, 124,  24,  64, 126,  26,  67, 130,  31,  71, 136,  41,  80, 145,  50,  86, 155,  62,  99, 174,  71, 109, 191,  80, 123, 212,
    81, 135, 223,  84, 144, 233,  87, 152, 237,  88, 157, 240,  91, 160, 240,  89, 157, 239,  86, 150, 234,  86, 141, 228,  83, 127, 215,  84, 116, 202,  83, 107, 186,  85, 107, 183,  86, 107, 183,  89, 112, 188,  93, 121, 206,  94, 130, 216,  95, 136, 223,  95, 137, 225,  92, 132, 220,  89, 126, 212,  87, 120, 201,
    84, 110, 187,  81, 104, 180,  79, 102, 177,  77,  99, 175,  72,  93, 163,  67,  87, 150, 106, 119, 144, 183, 175, 145, 249, 246, 196, 252, 249, 205, 253, 250, 206, 254, 252, 209, 254, 252, 210, 253, 252, 207, 243, 243, 170, 174, 148,  62, 144,  78,  71, 153,  82,  73, 159,  84,  77, 159,  84,  76, 160,  82,  69,
   160,  80,  63, 161,  77,  58, 161,  74,  49, 159,  71,  41, 158,  67,  37, 154,  63,  28, 156,  64,  31, 157,  65,  36, 157,  75,  66, 158,  83,  94, 158,  89, 102, 159,  90, 105, 162,  91, 107, 162,  90, 106, 161,  87, 101, 164,  83,  90, 162,  73,  61, 161,  64,  30, 162,  63,  22, 164,  65,  16, 167,  65,  17,
   166,  64,  15, 163,  61,  15, 157,  55,  13, 144,  47,   7, 134,  43,  13, 121,  36,  14, 113,  36,  27, 106,  38,  42, 106,  47,  62, 104,  54,  79,  95,  76, 125,  86, 112, 187,  84, 125, 205,  93, 154, 236, 107, 186, 252,  90, 167, 247,  86, 157, 245,  55, 121, 206,  35, 104, 180,  23,  90, 160,   4,  49, 105,
     9,  44,  98,   3,   6,  41,   4,   7,  35,   7,  28,  72,   8,  38,  88,   9,  38,  86,   8,  40,  90,   8,  24,  70,   6,  29,  79,   4,  21,  73,   9,  41,  91,  13,  38,  83,   8,  17,  53,   3,   7,  41,   3,   5,  43,   5,  12,  58,   7,  34,  88,   4,  40,  94,   5,  18,  70,   7,  24,  71,   9,  21,  65,
    10,  26,  70,   5,   8,  45,   3,  10,  41,   4,   7,  35,   6,  10,  42,  11,  23,  62,   6,  12,  50,   7,  13,  52,   8,  20,  61,   9,  29,  75,   8,  23,  72,  11,  31,  80,  17,  41,  87,  16,  36,  79,  15,  26,  64,   7,  17,  61,  23,  53, 100,  21,  44,  87,  14,  23,  62,  15,  27,  65,   1,   5,  37,
     4,   9,  43,   5,   9,  43,   5,  13,  50,  10,  25,  63,  10,  17,  47,   3,   4,  27,   6,  10,  31,  17,  35,  70,  19,  37,  74,   7,  12,  45,   2,   3,  34,   4,  11,  50,   4,   9,  44,   5,  13,  50,   4,  14,  56,  11,  38,  88,  15,  37,  85,  14,  32,  80,  15,  40,  86,   5,  19,  62,  10,  24,  59,
     2,   2,  26,   4,  11,  44,  11,  48, 102,  13,  52, 106,   7,  36,  90,   9,  31,  80,   5,  16,  60,   2,   7,  41,   4,   8,  38,   3,   5,  30,   3,  10,  46,   5,  19,  61,   7,  26,  71,   3,  15,  62,   6,  28,  74,   8,  30,  71,   9,  28,  64,   7,  16,  46,   2,   3,  20,   2,   2,  17,   2,   4,  25,
     4,   8,  43,   6,  26,  71,   6,  36,  89,   6,  26,  80,   7,  32,  81,   5,  14,  57,   8,  23,  61,   4,   8,  41,   5,  12,  36,   2,   3,  21,   1,   3,   9,   4,   9,  26,   9,  22,  55,   4,   9,  41,   4,  13,  44,   2,   7,  31,   1,   2,  18,   2,   4,  18,  40,  31,  61,  42,  36,  66,  44,  39,  70,
    45,  41,  72,  47,  43,  75,  49,  45,  79,  50,  46,  78,  52,  45,  80,  53,  45,  82,  51,  45,  80,  53,  45,  82,  53,  46,  81,  52,  46,  80,  52,  47,  79,  49,  46,  79,  46,  44,  77,  44,  44,  76,  42,  44,  76,  39,  42,  74,  36,  41,  73,  33,  40,  72,  30,  37,  67,  29,  34,  65,  27,  33,  62,
    25,  30,  58,  27,  30,  58,  27,  29,  54,  29,  30,  56,  32,  31,  59,  35,  33,  62,  40,  36,  66,  42,  38,  69,  45,  42,  72,  46,  43,  72,  42,  40,  69,  46,  40,  70,  48,  41,  71,  52,  41,  72,  53,  40,  72,  54,  39,  72,  55,  39,  72,  56,  40,  72,  52,  39,  72,  53,  45,  80,  54,  54,  93,
    56,  62, 111,  52,  65, 120,  51,  70, 132,  49,  73, 137,  40,  74, 138,  34,  72, 134,  30,  71, 136,  26,  70, 136,  24,  71, 135,  24,  72, 136,  25,  73, 138,  28,  77, 143,  34,  83, 151,  41,  90, 160,  49,  96, 172,  58, 105, 185,  64, 113, 197,  68, 123, 208,  74, 130, 215,  76, 135, 220,  80, 142, 227,
    81, 144, 227,  82, 140, 225,  81, 134, 220,  78, 125, 210,  76, 114, 197,  75, 104, 181,  76,  97, 168,  79,  95, 166,  81,  98, 169,  88, 107, 183,  91, 115, 194,  90, 121, 206,  93, 129, 213,  92, 129, 212,  89, 123, 207,  88, 117, 196,  86, 110, 185,  86, 105, 176,  82, 101, 173,  81, 102, 172,  81, 102, 174,
    77,  98, 168,  72,  91, 156,  95, 106, 146, 153, 143, 144, 216, 208, 151, 244, 234, 182, 245, 234, 180, 248, 237, 185, 248, 240, 186, 247, 238, 177, 225, 210, 126, 161, 123,  78, 145,  83,  80, 152,  82,  80, 155,  81,  77, 157,  81,  75, 157,  78,  69, 159,  77,  61, 158,  72,  51, 158,  70,  45, 158,  66,  35,
   157,  66,  33, 155,  62,  25, 155,  62,  24, 154,  62,  27, 156,  66,  45, 158,  79,  81, 159,  83,  93, 155,  80,  93, 156,  80,  94, 157,  82,  97, 158,  80,  92, 158,  74,  76, 157,  66,  52, 157,  61,  28, 161,  62,  25, 163,  63,  19, 164,  62,  15, 168,  65,  16, 165,  61,  13, 162,  60,  16, 153,  53,  11,
   142,  47,  16, 131,  43,  23, 116,  38,  34, 106,  42,  50, 107,  54,  74, 101,  59,  96,  85,  80, 132,  74, 103, 173,  81, 121, 201,  81, 126, 212,  79, 139, 227,  67, 130, 218,  67, 132, 221,  44, 112, 193,  25,  95, 169,   8,  59, 124,   7,  53, 110,   8,  47, 101,   6,  29,  76,   6,  22,  67,   7,  27,  72,
     5,  24,  64,   3,  13,  52,   4,  12,  47,   5,  31,  83,   7,  55, 115,  13,  61, 115,   9,  21,  66,   6,  18,  57,   6,   8,  39,   4,  10,  46,   5,  13,  48,   7,  26,  69,  10,  43,  94,   6,  36,  89,  11,  35,  83,   8,  21,  69,  18,  33,  76,   4,  12,  54,   8,  14,  54,   8,  15,  52,  10,  19,  55,
    12,  28,  68,  10,  27,  70,   8,  12,  51,   8,  18,  64,  12,  32,  83,  12,  36,  85,   9,  32,  81,  20,  50,  99,  14,  30,  78,  24,  63, 114,   9,  16,  55,  17,  36,  84,  20,  50,  98,  12,  25,  69,  20,  39,  84,   5,   9,  53,  11,  28,  71,  14,  33,  78,  16,  37,  85,  19,  49,  99,  12,  31,  72,
     9,  14,  47,   4,   7,  34,   5,   8,  32,   8,  16,  49,  17,  34,  75,  16,  36,  75,   6,  12,  51,   5,  23,  66,   5,  15,  58,   6,  16,  55,   2,  11,  50,   6,  30,  77,   6,  19,  66,   8,  27,  73,  16,  44,  90,   5,  16,  58,   5,  12,  48,   3,   2,  23,   6,  11,  37,   9,  35,  85,   9,  38,  91,
    10,  40,  95,   4,  21,  75,   6,  27,  73,   8,  22,  62,   9,  20,  55,   2,   5,  37,   3,  16,  56,   5,  20,  65,   4,  12,  61,   8,  31,  79,  10,  31,  74,   4,  21,  63,  10,  29,  67,   4,  10,  42,   3,   3,  26,   3,   3,  23,   3,   4,  33,   4,  13,  55,   7,  31,  80,  13,  46, 100,  11,  37,  91,
    10,  38,  89,   4,  14,  54,   3,   5,  37,   3,  12,  43,   5,  10,  37,   3,   5,  22,   3,   5,  17,   6,  18,  45,   5,  16,  51,   3,  10,  45,   3,   9,  41,   3,   8,  35,   2,   3,  22,   2,   3,  21,  40,  29,  60,  40,  32,  64,  42,  34,  66,  41,  37,  68,  44,  41,  73,  47,  47,  78,  50,  49,  82,
    54,  48,  83,  51,  45,  82,  50,  42,  78,  50,  41,  78,  51,  41,  77,  50,  42,  77,  49,  42,  75,  47,  41,  74,  47,  42,  74,  46,  42,  74,  42,  42,  73,  40,  41,  71,  40,  40,  71,  35,  38,  69,  32,  36,  65,  28,  33,  62,  28,  31,  60,  28,  31,  57,  29,  28,  54,  32,  28,  54,  34,  29,  57,
    38,  31,  61,  40,  33,  62,  44,  34,  66,  47,  37,  68,  50,  40,  71,  54,  40,  74,  54,  40,  72,  56,  42,  74,  57,  42,  71,  62,  43,  74,  64,  42,  74,  63,  41,  73,  64,  40,  73,  63,  39,  73,  62,  41,  75,  61,  49,  88,  61,  61, 103,  60,  66, 117,  59,  72, 131,  58,  77, 142,  53,  80, 146,
    45,  80, 148,  36,  80, 147,  30,  79, 145,  26,  78, 146,  21,  77, 142,  20,  77, 144,  19,  79, 146,  22,  82, 149,  28,  85, 156,  32,  90, 162,  39,  94, 170,  48, 101, 180,  51, 106, 185,  52, 108, 188,  61, 117, 198,  68, 124, 205,  74, 129, 212,  75, 130, 212,  73, 122, 208,  72, 118, 200,  71, 110, 191,
    67, 104, 179,  68,  96, 164,  66,  86, 150,  67,  86, 148,  72,  91, 154,  76,  97, 167,  79, 104, 177,  82, 109, 185,  84, 113, 190,  86, 113, 191,  84, 111, 188,  85, 108, 182,  83, 104, 175,  81, 102, 168,  82, 102, 169,  83, 101, 169,  81, 101, 168,  78,  98, 164,  72,  92, 157,  69,  88, 146, 131, 128, 142,
   157, 145, 126, 202, 184, 126, 217, 193, 127, 222, 201, 131, 223, 202, 131, 219, 191, 118, 192, 161, 106, 150, 100,  93, 147,  87,  95, 151,  86,  95, 153,  81,  86, 155,  80,  83, 155,  77,  73, 156,  75,  66, 157,  72,  58, 156,  69,  50, 156,  66,  41, 155,  64,  36, 154,  60,  25, 154,  59,  22, 155,  60,  24,
   155,  61,  35, 154,  66,  59, 156,  75,  80, 155,  76,  88, 155,  77,  91, 156,  79,  94, 153,  73,  86, 153,  69,  72, 154,  65,  55, 156,  65,  46, 159,  63,  41, 161,  64,  37, 161,  61,  29, 163,  62,  26, 163,  60,  21, 162,  61,  24, 157,  59,  24, 147,  52,  25, 136,  46,  34, 123,  46,  50, 111,  48,  66,
   104,  56,  88,  88,  70, 121,  71,  87, 143,  70, 106, 177,  79, 120, 200,  72, 117, 199,  46, 103, 183,  55, 117, 202,  59, 125, 212,  47, 116, 199,  15,  74, 146,   7,  48, 108,   7,  33,  88,  13,  54, 111,   6,  48, 101,   7,  36,  84,   7,  20,  59,   4,   9,  41,   7,  30,  79,  14,  85, 153,   7,  69, 131,
     6,  50, 104,   8,  27,  70,   5,  16,  56,   6,  15,  54,   6,  10,  46,   5,   8,  41,   4,  10,  49,   6,  23,  67,  10,  44,  94,   5,  30,  78,   5,  14,  58,  10,  34,  78,  10,  29,  72,   7,  17,  60,  10,  28,  72,   6,  12,  50,  10,  24,  63,   9,  21,  64,   7,  16,  59,   8,  25,  72,  14,  37,  88,
    27,  58, 110,  10,  31,  80,  17,  42,  90,  16,  42,  89,  17,  42,  90,  13,  24,  64,   6,   7,  38,  11,  23,  68,  11,  28,  72,  19,  34,  80,  12,  28,  73,  18,  42,  92,  28,  55, 106,  11,  34,  81,  17,  46,  96,  18,  44,  95,  10,  26,  70,  22,  44,  83,   3,   8,  36,   6,   9,  32,   4,   6,  36,
     8,  15,  53,  18,  48,  93,   6,  26,  73,   8,  29,  77,   9,  24,  70,   4,   5,  45,   6,  19,  61,  10,  31,  76,   5,  22,  70,   5,  15,  64,  12,  35,  84,  11,  27,  71,  13,  32,  71,   3,   3,  28,   3,   3,  29,   4,   9,  51,   5,  26,  81,   6,  33,  88,   9,  46,  99,   8,  39,  89,   9,  36,  80,
     3,   9,  48,   2,   6,  41,   4,  12,  55,   7,  28,  75,   4,  20,  73,   5,  28,  78,   3,  18,  62,   5,  11,  52,   7,  20,  58,   3,  10,  41,   3,   3,  22,   4,   7,  32,   3,  10,  44,   5,  19,  66,   5,  31,  82,   4,  16,  71,  10,  36,  88,  19,  54, 105,   3,  14,  54,   4,  10,  43,   3,   7,  34,
     4,  10,  34,   3,   2,  15,   3,   4,  16,   3,  11,  43,   3,  13,  49,   2,  10,  45,   2,   8,  39,   3,   7,  36,   4,   5,  27,   3,   6,  24,  43,  27,  60,  46,  30,  63,  48,  32,  65,  48,  36,  70,  51,  45,  80,  53,  52,  85,  57,  57,  92,  59,  59,  96,  58,  57,  94,  58,  52,  89,  57,  48,  86,
    53,  43,  80,  54,  42,  77,  52,  42,  78,  52,  44,  78,  51,  43,  76,  51,  42,  77,  50,  41,  75,  46,  40,  72,  45,  42,  71,  41,  40,  69,  38,  36,  66,  35,  34,  63,  36,  34,  62,  36,  33,  61,  40,  32,  61,  41,  30,  61,  43,  30,  62,  47,  32,  63,  50,  35,  67,  52,  36,  68,  55,  37,  69,
    59,  39,  71,  59,  37,  70,  60,  39,  70,  62,  39,  70,  63,  39,  69,  64,  39,  69,  67,  40,  68,  70,  38,  69,  72,  39,  69,  70,  38,  71,  69,  40,  74,  70,  52,  93,  68,  64, 108,  70,  75, 123,  67,  78, 136,  61,  81, 147,  58,  86, 153,  54,  88, 158,  43,  86, 157,  32,  83, 154,  26,  82, 153,
    18,  80, 150,  16,  79, 148,  15,  81, 151,  13,  82, 152,  16,  85, 157,  25,  91, 163,  29,  94, 169,  38,  99, 177,  43, 103, 182,  46, 105, 185,  53, 112, 192,  60, 117, 198,  63, 119, 200,  64, 117, 199,  63, 111, 191,  64, 107, 184,  61,  99, 171,  57,  92, 158,  56,  84, 146,  51,  76, 137,  52,  77, 137,
    59,  85, 147,  63,  91, 155,  66,  95, 160,  68,  97, 164,  72, 101, 169,  75, 103, 171,  76, 101, 173,  74, 100, 171,  73,  97, 165,  77, 101, 168,  77, 100, 166,  80, 101, 168,  81, 103, 170,  79,  99, 166,  73,  92, 157,  67,  86, 146,  77,  89, 133, 124, 119, 126, 137, 120, 107, 156, 133,  97, 166, 138,  97,
   175, 146, 102, 178, 143, 104, 155, 115, 101, 141,  91, 106, 147,  88, 105, 151,  89, 104, 151,  85, 100, 151,  81,  93, 152,  77,  86, 153,  77,  80, 156,  75,  73, 158,  72,  66, 155,  67,  58, 156,  67,  51, 154,  63,  40, 153,  61,  33, 153,  59,  30, 154,  61,  40, 153,  63,  53, 151,  67,  70, 150,  70,  82,
   151,  75,  90, 153,  77,  94, 153,  79,  95, 153,  77,  90, 154,  76,  85, 157,  73,  79, 157,  69,  66, 158,  69,  59, 158,  65,  51, 160,  65,  47, 163,  66,  46, 162,  64,  45, 161,  65,  49, 153,  62,  52, 145,  63,  68, 133,  62,  78, 122,  63,  98, 104,  70, 122,  75,  87, 142,  62,  96, 163,  59, 102, 176,
    70, 117, 197,  74, 122, 205,  58, 116, 200,  47, 114, 198,  33, 106, 186,  36, 108, 189,  16,  89, 160,  10,  92, 165,  10,  67, 125,   7,  36,  80,   5,  14,  54,   7,  32,  79,   6,  51, 107,   6,  48, 105,   7,  39,  88,   6,  55, 113,   7,  39,  89,   4,  11,  46,   5,  11,  45,   4,  19,  56,   4,  14,  47,
     4,  10,  48,   4,  13,  53,   9,  30,  76,   5,  15,  59,   4,   9,  50,   4,  10,  49,   5,  11,  53,   7,  21,  63,   5,  12,  52,   7,  14,  54,   7,  17,  58,  12,  26,  66,  12,  22,  58,   5,  15,  55,  15,  38,  79,  19,  42,  88,   6,  25,  76,  12,  33,  81,  13,  29,  76,  17,  37,  82,   9,  23,  71,
    14,  36,  86,  17,  39,  80,  10,  15,  54,   9,  19,  58,  13,  29,  77,  10,  22,  69,  14,  31,  77,  23,  58, 107,  15,  35,  80,   5,  18,  66,   9,  31,  82,  13,  30,  77,  10,  22,  64,   4,  14,  52,   8,  13,  43,   3,   4,  28,   6,  12,  41,  12,  22,  59,  10,  23,  68,   5,  22,  71,  15,  46,  96,
    13,  45,  95,   8,  23,  67,  10,  16,  56,   7,  22,  70,   5,  21,  71,   7,  19,  67,   9,  25,  76,  22,  59, 106,   8,  26,  69,   8,  21,  55,   4,   7,  40,   5,  22,  65,  10,  54, 109,  10,  45,  99,  13,  58, 111,   8,  48,  98,   6,  27,  73,   4,  12,  54,   4,   5,  44,   6,  21,  70,   5,  26,  76,
     6,  28,  79,   8,  35,  84,   4,  22,  65,   5,  13,  53,   5,  17,  53,  11,  24,  57,   3,   4,  23,   2,   0,  19,   3,   7,  38,   5,  28,  76,   8,  36,  88,   9,  33,  84,   5,  23,  75,   5,  27,  76,   5,  17,  57,   4,  12,  47,   4,   5,  32,   2,   6,  26,   3,   6,  25,   2,   5,  23,   6,  19,  52,
     6,  22,  60,   4,  15,  52,   3,  14,  50,   3,   7,  37,   1,   4,  26,   3,   5,  25,  53,  29,  63,  54,  32,  65,  57,  35,  69,  60,  42,  80,  60,  54,  94,  63,  63, 103,  65,  68, 110,  68,  71, 116,  68,  72, 115,  70,  69, 111,  67,  61, 101,  68,  55,  95,  67,  52,  90,  64,  51,  87,  65,  51,  89,
    67,  50,  90,  63,  45,  86,  61,  43,  79,  58,  43,  76,  54,  42,  74,  51,  41,  73,  46,  39,  68,  45,  37,  67,  44,  36,  66,  45,  33,  65,  48,  32,  64,  50,  30,  63,  52,  32,  64,  54,  34,  66,  56,  35,  68,  59,  37,  69,  60,  37,  68,  62,  38,  68,  64,  37,  67,  64,  37,  66,  64,  36,  63,
    65,  36,  62,  64,  35,  60,  68,  36,  60,  66,  34,  57,  72,  36,  60,  71,  35,  63,  73,  38,  71,  73,  52,  91,  70,  64, 107,  70,  71, 119,  68,  75, 133,  64,  82, 149,  61,  86, 156,  55,  88, 162,  48,  89, 164,  34,  87, 159,  28,  87, 158,  13,  82, 153,   5,  79, 148,   8,  82, 151,  10,  83, 153,
    13,  86, 158,  15,  88, 160,  24,  93, 169,  32,  99, 177,  39, 103, 181,  44, 106, 186,  49, 111, 190,  57, 115, 194,  58, 114, 195,  59, 113, 193,  59, 108, 187,  58, 102, 176,  55,  94, 162,  50,  83, 147,  44,  74, 137,  39,  70, 131,  43,  73, 134,  48,  79, 141,  51,  85, 149,  54,  89, 153,  58,  92, 156,
    63,  94, 162,  65,  96, 165,  66,  96, 164,  65,  94, 163,  68,  95, 164,  71,  98, 163,  72,  98, 163,  78, 100, 167,  76,  99, 166,  76,  98, 164,  70,  92, 155,  65,  84, 144,  56,  74, 130,  59,  73, 113,  83,  84, 103,  95,  88,  99, 105,  91, 100, 116,  96, 108, 126,  99, 113, 134,  96, 120, 137,  89, 122,
   149,  93, 123, 154,  94, 124, 154,  90, 114, 152,  85, 105, 152,  83, 103, 155,  86, 104, 153,  82,  97, 154,  78,  89, 153,  73,  76, 152,  68,  68, 152,  65,  57, 154,  64,  49, 153,  61,  42, 152,  63,  46, 149,  61,  56, 149,  67,  73, 147,  69,  84, 152,  79,  95, 153,  81, 102, 154,  84, 108, 156,  87, 115,
   154,  87, 114, 155,  85, 110, 154,  82, 103, 154,  77,  92, 154,  74,  85, 155,  75,  84, 159,  75,  84, 160,  73,  83, 157,  75,  88, 156,  77,  95, 150,  78, 102, 140,  78, 115, 121,  73, 133,  93,  85, 144,  70,  96, 163,  60, 105, 178,  62, 112, 189,  71, 121, 201,  65, 121, 202,  64, 127, 212,  49, 120, 204,
     9,  78, 151,   9,  75, 144,  17,  86, 156,  17,  91, 161,  15,  86, 157,  10,  77, 142,   7,  68, 133,  17,  96, 167,  10,  84, 153,   7,  65, 127,   7,  26,  71,   5,  11,  53,   8,  26,  65,   2,   3,  36,   3,   3,  32,   5,   8,  39,   5,  10,  46,   4,  23,  66,   5,  30,  73,  12,  38,  82,   5,  14,  54,
     4,  14,  55,   9,  26,  69,   4,  13,  50,   8,  24,  60,   5,  13,  46,   5,  13,  47,  13,  26,  60,  13,  23,  57,   6,  10,  39,  14,  27,  62,   8,  18,  57,   8,  32,  78,   9,  26,  74,   4,  11,  56,   8,  21,  62,   6,  10,  49,  11,  28,  76,  21,  62, 116,  15,  28,  75,   8,  17,  63,  27,  52, 100,
    17,  34,  81,   6,  15,  64,   7,  21,  71,   7,  21,  68,   7,  19,  64,   7,  22,  66,  14,  39,  84,  11,  30,  74,  12,  25,  65,  14,  32,  73,  18,  35,  69,   2,   1,  24,   3,   8,  35,  13,  29,  69,  12,  33,  78,   7,  23,  74,   7,  28,  81,  12,  36,  86,  10,  28,  71,   6,  13,  56,   9,  39,  91,
    10,  46,  99,  14,  48, 101,   7,  22,  76,  13,  42,  92,  13,  33,  76,  12,  26,  61,   4,  10,  43,   3,  16,  56,   7,  45, 101,  12,  58, 114,   9,  54, 108,   5,  33,  86,   4,  16,  65,   4,  11,  59,   3,  13,  63,   5,  36,  85,   7,  36,  88,   5,  29,  80,   7,  30,  76,   5,  12,  57,   5,  10,  49,
     7,  18,  56,  16,  31,  65,   1,   1,  15,   2,   2,  22,   4,  10,  40,   9,  37,  86,   3,  22,  73,   3,  20,  72,   4,  20,  71,  11,  41,  88,   7,  24,  65,   9,  27,  66,   5,  13,  43,   2,   3,  26,   3,   8,  27,   2,   5,  20,   7,  22,  56,   4,  18,  58,   4,  13,  52,   3,  15,  52,   3,   6,  38,
     2,   4,  29,   3,   4,  28,  55,  26,  58,  57,  29,  63,  61,  34,  68,  65,  44,  86,  66,  60, 101,  68,  69, 113,  72,  77, 124,  74,  81, 130,  75,  82, 133,  73,  76, 124,  73,  71, 115,  75,  69, 112,  75,  65, 108,  77,  63, 107,  79,  60, 105,  75,  54,  98,  71,  47,  91,  69,  42,  81,  64,  38,  73,
    59,  37,  71,  55,  35,  67,  52,  34,  66,  51,  34,  65,  51,  30,  63,  53,  30,  65,  56,  32,  64,  57,  30,  62,  58,  30,  62,  60,  33,  64,  63,  37,  68,  61,  36,  65,  62,  37,  66,  63,  35,  63,  65,  35,  60,  63,  34,  58,  64,  34,  54,  64,  35,  55,  65,  34,  52,  66,  34,  50,  67,  33,  49,
    70,  34,  51,  72,  34,  55,  75,  37,  65,  75,  45,  86,  71,  55, 104,  72,  66, 116,  70,  73, 129,  66,  81, 147,  62,  87, 155,  58,  90, 162,  49,  90, 163,  35,  89, 159,  27,  88, 158,  12,  82, 154,   3,  78, 150,   5,  81, 150,   5,  82, 151,   6,  84, 156,  12,  89, 161,  22,  95, 169,  32, 101, 178,
    38, 105, 183,  40, 106, 184,  45, 110, 188,  52, 112, 190,  57, 113, 194,  57, 112, 191,  56, 106, 184,  52,  97, 169,  51,  91, 158,  44,  80, 143,  35,  70, 131,  30,  66, 129,  36,  71, 133,  41,  77, 139,  42,  80, 144,  48,  86, 149,  50,  87, 153,  53,  90, 156,  56,  90, 159,  58,  93, 161,  59,  93, 159,
    64,  95, 160,  67,  95, 161,  69,  95, 161,  73,  98, 163,  75,  97, 163,  72,  94, 159,  69,  90, 154,  64,  83, 142,  55,  73, 129,  45,  62, 111,  41,  57,  99,  58,  67,  99,  77,  75, 107,  96,  84, 118, 105,  89, 129, 114,  89, 138, 130,  91, 145, 140,  96, 155, 147,  96, 157, 151,  93, 145, 153,  91, 132,
   155,  91, 127, 157,  91, 122, 157,  90, 116, 156,  87, 112, 153,  80,  98, 151,  75,  90, 151,  72,  81, 149,  66,  68, 150,  65,  61, 147,  61,  58, 146,  64,  66, 146,  67,  79, 147,  73,  89, 151,  81, 102, 151,  84, 112, 151,  85, 123, 153,  90, 134, 152,  88, 133, 152,  89, 132, 152,  87, 126, 150,  86, 117,
   153,  85, 113, 153,  83, 107, 157,  84, 107, 160,  87, 110, 160,  86, 108, 157,  87, 116, 154,  90, 133, 136,  89, 150, 111,  87, 151,  89,  95, 157,  69, 101, 172,  59, 109, 186,  58, 114, 195,  60, 116, 196,  71, 132, 214,  69, 138, 224,  48, 125, 210,  31, 110, 189,  40, 127, 207,  50, 144, 225,  29, 123, 202,
    13, 101, 175,  13, 101, 176,   8,  83, 156,  20,  91, 160,   4,  26,  78,   7,  13,  60,   4,  11,  55,   6,  19,  59,   3,   8,  48,   5,  16,  58,   5,   9,  45,   6,  21,  62,   4,  18,  61,   7,  29,  74,   4,  12,  52,   5,   8,  43,   5,  12,  53,   8,  30,  75,   9,  24,  65,   6,  11,  48,   8,  14,  46,
     2,   2,  27,   3,   3,  25,   2,   4,  27,   5,   8,  31,   6,   9,  38,   7,  13,  50,   8,  15,  53,   6,  12,  55,   9,  29,  76,   6,  13,  59,  12,  24,  70,  11,  29,  77,  27,  59, 111,  21,  53, 105,  15,  41,  94,  11,  27,  80,  21,  48, 103,  18,  47,  99,  16,  38,  90,  10,  25,  74,  14,  29,  72,
     5,  13,  56,   6,  16,  61,   9,  26,  71,  11,  28,  71,   3,  12,  52,   3,  12,  52,   5,  12,  46,   4,   6,  35,   5,   9,  38,  16,  33,  70,   8,  17,  58,   8,  27,  78,  16,  55, 110,   8,  27,  76,   9,  26,  69,   6,  22,  69,  21,  67, 123,  14,  52, 108,  15,  55, 111,   7,  25,  80,   9,  32,  85,
    12,  29,  77,   8,  15,  49,   3,   4,  31,   4,  12,  45,   9,  50, 104,  11,  53, 108,  11,  46, 101,   4,  24,  79,   4,  21,  73,   4,  20,  71,   4,  26,  77,   8,  40,  91,   9,  44,  97,   8,  31,  83,   5,  15,  63,  12,  33,  77,   9,  22,  62,  13,  25,  60,   8,  22,  54,   2,   0,  17,   3,   3,  19,
     4,  10,  40,   5,  27,  73,   4,  22,  70,   6,  25,  73,   3,  17,  62,   6,  23,  66,   3,  11,  54,   4,  19,  58,   6,  22,  53,   2,   4,  27,   3,   9,  27,   2,   4,  17,   5,  18,  52,   4,  22,  63,   3,  10,  47,   4,  13,  49,   3,  11,  43,   2,   7,  37,   2,   8,  35,  57,  25,  51,  59,  26,  55,
    65,  31,  67,  69,  48,  91,  70,  67, 110,  73,  77, 126,  74,  85, 137,  79,  93, 146,  77,  89, 143,  76,  86, 137,  80,  84, 133,  80,  82, 128,  82,  78, 124,  84,  75, 122,  81,  66, 114,  79,  58, 103,  77,  50,  94,  75,  42,  83,  70,  34,  69,  63,  31,  64,  58,  29,  60,  55,  28,  61,  52,  27,  60,
    56,  26,  59,  58,  28,  60,  59,  28,  56,  59,  27,  55,  60,  29,  56,  62,  30,  59,  63,  30,  62,  63,  31,  61,  64,  33,  61,  64,  34,  60,  63,  34,  57,  64,  34,  53,  66,  33,  50,  66,  34,  49,  64,  32,  47,  64,  32,  46,  65,  31,  46,  67,  32,  47,  69,  31,  48,  71,  33,  57,  73,  38,  76,
    71,  46,  94,  73,  57, 107,  71,  65, 117,  65,  75, 136,  59,  83, 148,  53,  84, 152,  41,  83, 152,  30,  83, 154,  22,  85, 154,  12,  83, 154,   7,  82, 152,   3,  77, 149,   3,  78, 149,   4,  82, 153,  10,  87, 159,  20,  94, 168,  30,  99, 176,  38, 105, 183,  40, 106, 184,  45, 110, 188,  51, 111, 190,
    54, 111, 191,  54, 109, 188,  53, 103, 180,  49,  94, 167,  48,  88, 154,  39,  79, 141,  32,  69, 130,  28,  66, 127,  30,  69, 131,  30,  72, 134,  35,  78, 141,  37,  81, 144,  44,  86, 151,  46,  86, 153,  49,  88, 156,  51,  89, 155,  54,  90, 155,  58,  90, 157,  63,  93, 158,  68,  94, 160,  68,  94, 158,
    69,  94, 158,  67,  89, 152,  66,  86, 148,  58,  78, 136,  50,  70, 126,  41,  61, 111,  34,  53, 101,  37,  54, 100,  55,  65, 110,  76,  77, 122,  90,  85, 135, 105,  89, 145, 116,  93, 155, 129, 100, 168, 135,  98, 172, 140,  95, 167, 143,  93, 160, 147,  91, 152, 149,  92, 147, 153,  91, 140, 154,  89, 127,
   154,  86, 113, 152,  81, 103, 149,  78,  95, 147,  71,  85, 145,  67,  75, 142,  63,  69, 142,  67,  76, 143,  71,  85, 146,  77,  95, 149,  82, 110, 147,  85, 127, 145,  87, 141, 141,  85, 145, 143,  87, 150, 143,  88, 149, 143,  87, 145, 144,  86, 136, 146,  86, 133, 151,  87, 129, 153,  86, 125, 156,  89, 125,
   156,  89, 126, 152,  89, 134, 144,  88, 146, 130,  93, 158, 105, 100, 159,  87, 102, 168,  73, 108, 182,  64, 116, 196,  58, 115, 197,  49, 112, 193,  66, 131, 217,  66, 137, 227,  59, 136, 225,  49, 130, 212,  37, 117, 191,  13,  74, 142,   5,  77, 147,  10,  76, 145,  12,  55, 113,   6,  23,  80,   4,  14,  64,
     5,  14,  61,  11,  24,  68,   6,  19,  61,   6,  21,  65,   6,  22,  66,   6,  19,  64,   7,  27,  76,   8,  41,  89,  10,  33,  78,   6,  17,  56,   5,  14,  58,  11,  32,  77,   8,  26,  68,  10,  41,  88,  14,  44,  90,   6,  17,  54,   7,  11,  38,   4,   8,  34,   4,   6,  31,   8,  17,  48,   3,   5,  24,
     7,  12,  40,  11,  21,  57,  10,  20,  59,   6,  16,  58,  20,  47,  93,  15,  35,  83,  14,  40,  87,  11,  32,  77,  15,  37,  84,   9,  30,  80,  16,  43,  96,  26,  61, 115,  24,  52, 108,  23,  57, 112,  17,  44,  97,  20,  46,  94,  13,  31,  78,  11,  27,  74,   8,  24,  67,   7,  14,  55,   8,  19,  58,
     6,  12,  51,   9,  27,  71,  10,  23,  61,   5,  12,  48,   6,  13,  48,   7,  15,  56,   7,  18,  62,   9,  40,  94,  18,  58, 114,  12,  39,  90,   3,   6,  47,   7,  19,  68,  13,  62, 117,  14,  56, 111,  17,  59, 118,   9,  34,  92,  18,  52, 105,  14,  43,  91,   5,   9,  46,   7,   9,  41,   4,   8,  41,
     6,  26,  76,   8,  52, 108,   6,  43,  99,   8,  51, 106,   5,  34,  89,   5,  23,  79,   9,  39,  90,  12,  42,  94,   6,  34,  85,   6,  28,  78,   5,  14,  64,   6,  24,  71,   5,  17,  56,   2,   3,  33,   3,   6,  38,   3,   3,  19,   2,   4,  21,   5,  16,  48,   5,  22,  63,   5,  21,  62,   8,  30,  71,
     4,  13,  54,   4,   9,  51,   3,  16,  60,   5,  20,  61,   3,  15,  48,   4,   5,  30,   5,   9,  27,   3,   6,  19,   9,  30,  65,   7,  30,  71,   2,  13,  50,   3,  11,  47,   3,   9,  45,   2,   7,  39,   3,   6,  33,  57,  23,  44,  61,  26,  51,  69,  36,  73,  71,  55,  98,  73,  73, 117,  77,  84, 136,
    80,  93, 152,  84, 100, 159,  82,  97, 157,  83,  96, 154,  82,  92, 147,  84,  90, 141,  86,  89, 139,  86,  83, 133,  83,  75, 122,  81,  63, 111,  79,  51,  95,  76,  40,  80,  69,  31,  58,  62,  25,  50,  59,  25,  50,  56,  23,  50,  53,  21,  48,  58,  23,  50,  60,  25,  49,  60,  23,  46,  61,  24,  45,
    60,  25,  46,  59,  26,  47,  60,  27,  53,  60,  29,  56,  66,  34,  59,  64,  33,  58,  64,  33,  57,  64,  34,  51,  65,  31,  47,  65,  31,  46,  66,  31,  46,  63,  30,  44,  61,  31,  46,  62,  30,  45,  65,  30,  49,  68,  32,  58,  74,  39,  76,  71,  41,  88,  72,  46,  96,  72,  55, 104,  67,  65, 115,
    58,  71, 128,  48,  70, 129,  39,  76, 140,  29,  79, 146,  19,  84, 152,  11,  83, 154,   6,  80, 152,   4,  79, 149,   1,  76, 148,   3,  79, 152,   9,  85, 158,  19,  92, 166,  31,  99, 175,  36, 103, 180,  38, 105, 183,  40, 106, 184,  45, 107, 185,  51, 107, 187,  49, 104, 183,  47,  98, 175,  44,  91, 163,
    40,  83, 148,  33,  73, 136,  28,  66, 128,  22,  62, 125,  25,  67, 129,  28,  72, 134,  30,  74, 138,  36,  80, 145,  38,  83, 148,  40,  83, 151,  42,  85, 151,  45,  85, 152,  50,  87, 151,  55,  89, 154,  59,  89, 154,  64,  90, 156,  66,  92, 156,  67,  91, 153,  67,  88, 149,  61,  81, 140,  55,  75, 133,
    46,  66, 120,  39,  60, 111,  33,  53, 102,  33,  52,  99,  47,  62, 111,  69,  74, 125,  86,  84, 136,  97,  90, 147, 110,  96, 160, 120, 100, 171, 127, 101, 175, 130,  98, 172, 131,  93, 164, 134,  92, 162, 138,  90, 158, 141,  90, 157, 146,  91, 150, 148,  87, 137, 149,  83, 123, 147,  79, 107, 145,  77,  97,
   140,  70,  86, 137,  66,  80, 140,  68,  84, 144,  73,  89, 145,  76, 101, 145,  81, 117, 143,  83, 135, 139,  86, 147, 132,  84, 149, 132,  87, 152, 133,  88, 154, 130,  83, 148, 130,  83, 144, 133,  84, 144, 137,  83, 143, 141,  84, 142, 143,  85, 141, 146,  88, 142, 141,  85, 145, 132,  87, 151, 119,  95, 157,
   105, 104, 163,  86, 104, 172,  74, 110, 185,  67, 118, 198,  67, 125, 208,  64, 126, 210,  78, 146, 232,  53, 123, 208,  28, 101, 180,   5,  74, 150,  11,  76, 147,  16,  81, 152,   6,  61, 129,   5,  31,  89,   3,  17,  72,   5,  27,  80,   7,  15,  63,   9,  20,  65,   3,   8,  51,   6,  14,  59,   5,  22,  69,
     7,  30,  80,   9,  42,  99,   9,  36,  87,  10,  28,  75,   4,  15,  62,   7,  24,  68,   7,  22,  64,   7,  32,  74,   9,  25,  63,  13,  26,  64,  12,  27,  69,   9,  25,  63,   6,  13,  47,  12,  32,  70,   5,   7,  35,  11,  23,  59,   9,  19,  55,   5,  11,  47,   3,   5,  43,   3,  16,  57,   7,  25,  71,
    14,  41,  89,  15,  43,  91,   9,  33,  80,   7,  19,  67,   7,  24,  78,  11,  27,  79,  15,  43,  95,  15,  34,  84,  13,  38,  90,  11,  44, 102,  10,  43, 102,   9,  23,  77,   9,  23,  72,  10,  31,  82,  23,  60, 111,  10,  24,  69,   7,  15,  57,   6,  17,  62,  18,  47,  91,  13,  29,  69,  11,  27,  69,
    17,  45,  91,  16,  37,  82,  12,  28,  75,  10,  33,  88,  12,  38,  94,  13,  33,  84,   4,   6,  46,   6,  21,  72,  13,  54, 110,  10,  51, 110,  11,  53, 109,   7,  27,  84,  17,  55, 108,  21,  65, 116,   6,  10,  50,   3,   6,  38,   5,   6,  40,   6,  26,  72,   6,  36,  94,   7,  45, 104,   5,  50, 106,
     8,  45, 102,   6,  37,  91,   7,  32,  84,   4,  20,  71,   6,  12,  63,   5,  23,  73,   4,  16,  64,   6,  20,  66,  10,  22,  61,   5,   8,  39,   8,  15,  44,   5,   8,  27,   2,   3,  17,   5,  12,  41,   3,  10,  46,   2,   3,  36,   3,   5,  37,   3,   6,  41,   4,  17,  56,   4,  19,  63,   4,  25,  67,
     2,   6,  37,   3,   4,  23,   1,   1,  11,   4,   5,  19,   6,  16,  47,   2,  12,  46,   3,  13,  49,   2,  13,  50,   4,  20,  57,   3,  13,  45,   3,   0,  23,  50,  18,  38,  59,  25,  51,  70,  43,  83,  72,  61, 104,  75,  76, 121,  79,  89, 142,  83, 101, 162,  86, 105, 170,  86, 104, 169,  85, 103, 165,
    86,  99, 159,  88,  98, 156,  88,  96, 151,  88,  89, 142,  82,  77, 127,  79,  65, 113,  76,  50,  96,  73,  37,  76,  66,  29,  50,  58,  21,  38,  57,  22,  38,  58,  20,  39,  56,  20,  40,  60,  23,  41,  59,  21,  40,  59,  22,  37,  57,  20,  36,  58,  21,  36,  57,  22,  41,  56,  24,  47,  59,  29,  53,
    60,  30,  55,  62,  31,  56,  66,  32,  54,  65,  32,  48,  67,  32,  48,  64,  29,  45,  62,  30,  44,  59,  28,  43,  57,  29,  47,  58,  27,  49,  60,  27,  55,  62,  27,  63,  66,  34,  73,  70,  40,  84,  72,  44,  91,  71,  45,  95,  68,  53,  99,  59,  60, 106,  51,  62, 114,  37,  66, 126,  27,  75, 139,
    19,  81, 149,   9,  80, 152,   7,  81, 153,   7,  82, 153,   4,  79, 151,   4,  78, 152,  11,  86, 158,  19,  91, 165,  28,  96, 172,  33, 101, 178,  34, 102, 180,  38, 104, 181,  41, 106, 184,  43, 104, 182,  46, 103, 180,  43,  97, 171,  39,  90, 159,  38,  82, 147,  31,  73, 136,  26,  65, 126,  23,  63, 124,
    22,  66, 126,  25,  70, 132,  27,  75, 138,  31,  78, 143,  33,  79, 145,  35,  79, 146,  38,  81, 146,  42,  81, 146,  48,  83, 148,  53,  85, 150,  60,  88, 153,  62,  89, 153,  66,  90, 153,  68,  88, 150,  63,  81, 141,  57,  76, 133,  49,  69, 123,  41,  62, 115,  33,  53, 104,  27,  49,  98,  28,  49,  97,
    37,  56, 106,  55,  66, 120,  76,  79, 135,  88,  87, 146,  99,  92, 156, 105,  95, 164, 114,  98, 170, 117,  95, 168, 118,  94, 166, 120,  92, 163, 124,  92, 163, 128,  90, 160, 131,  87, 156, 134,  83, 151, 137,  80, 140, 139,  76, 122, 140,  76, 106, 138,  74,  92, 134,  67,  83, 135,  67,  82, 137,  69,  88,
   140,  74,  99, 139,  80, 117, 137,  82, 136, 128,  80, 143, 124,  81, 148, 118,  82, 147, 119,  85, 149, 115,  82, 146, 113,  81, 141, 116,  81, 142, 120,  79, 141, 123,  79, 142, 126,  80, 144, 130,  83, 146, 125,  81, 145, 118,  86, 147, 110,  95, 153,  96,  99, 158,  83, 103, 170,  67, 102, 174,  62, 110, 187,
    65, 121, 205,  65, 124, 209,  66, 128, 214,  38, 103, 181,  19,  83, 157,  16,  60, 126,  13,  56, 120,   6,  53, 116,   7,  40,  98,   6,  27,  83,   4,  13,  66,  13,  39,  91,   4,  10,  57,   5,  15,  64,   5,  31,  81,   6,  30,  82,   7,  29,  82,  12,  57, 113,  11,  58, 116,   7,  32,  80,  10,  22,  63,
     6,  20,  63,   8,  31,  75,   5,   8,  44,   3,   6,  40,   8,  13,  47,   8,  15,  51,   6,  10,  50,   5,  11,  52,   5,  16,  59,   7,  23,  68,   6,  17,  56,  10,  31,  77,  15,  38,  81,  11,  28,  73,   6,  14,  60,   7,  25,  72,  12,  28,  75,   4,  15,  66,   7,  21,  73,   7,  21,  70,   8,  22,  71,
    19,  52, 105,  21,  51, 103,  13,  36,  84,   6,  13,  58,   9,  17,  64,  16,  47, 107,  12,  44, 104,  17,  44, 101,   7,  16,  69,  10,  32,  87,   7,  26,  76,   8,  12,  55,  12,  23,  66,  10,  23,  70,  11,  35,  81,   8,  20,  65,   6,  10,  47,  10,  26,  69,  15,  36,  83,   7,  15,  60,   7,  37,  91,
    17,  62, 120,  18,  51, 107,  11,  25,  76,   7,  30,  83,  12,  59, 119,  15,  68, 125,  11,  48, 106,   6,  42, 101,   9,  37,  94,   8,  45,  99,   9,  26,  68,   5,   7,  37,   7,  17,  54,   6,  27,  76,   8,  50, 107,   6,  41, 101,   7,  49, 105,  11,  57, 111,   8,  41,  95,   7,  41,  94,   7,  25,  77,
     9,  35,  86,   5,  15,  66,   9,  32,  77,   5,  16,  58,   9,  26,  65,   7,  19,  56,   3,  11,  40,   3,   5,  29,   2,   2,  17,   5,  10,  37,   3,   8,  43,   5,   9,  39,   6,  13,  36,   3,   5,  32,   4,  19,  60,   3,  17,  60,   4,  11,  53,   4,  19,  56,   3,   8,  37,   2,   5,  18,   1,   3,  14,
     3,   8,  35,   3,   7,  38,   3,   9,  45,   2,  11,  48,   4,  16,  54,   3,   9,  44,   2,   4,  35,  47,  17,  43,  59,  27,  57,  68,  43,  84,  70,  59, 105,  79,  78, 127,  82,  91, 147,  83, 100, 162,  84, 102, 166,  84, 104, 169,  87, 105, 168,  88, 104, 166,  90, 102, 162,  89,  98, 158,  88,  92, 147,
    81,  81, 132,  76,  65, 113,  72,  47,  94,  68,  34,  73,  61,  25,  43,  53,  18,  33,  51,  15,  30,  52,  15,  32,  53,  18,  34,  55,  18,  34,  54,  18,  32,  52,  15,  28,  51,  15,  28,  49,  15,  28,  49,  17,  33,  51,  21,  41,  53,  23,  48,  57,  26,  52,  63,  31,  55,  64,  32,  56,  66,  32,  52,
    64,  31,  48,  62,  28,  44,  58,  28,  44,  57,  29,  48,  54,  26,  51,  54,  25,  57,  56,  30,  64,  56,  33,  69,  61,  37,  76,  66,  40,  85,  69,  44,  88,  70,  45,  89,  66,  46,  91,  58,  50,  91,  52,  58, 101,  40,  66, 121,  27,  75, 136,  22,  81, 148,  14,  82, 152,  10,  83, 155,   7,  83, 154,
     5,  80, 153,   6,  81, 153,  12,  87, 159,  19,  90, 163,  26,  96, 169,  31, 100, 176,  31, 101, 178,  36, 104, 181,  37, 104, 181,  41, 104, 181,  42, 101, 177,  39,  96, 169,  33,  86, 154,  34,  79, 142,  28,  71, 133,  25,  64, 123,  21,  60, 121,  22,  64, 125,  26,  70, 132,  27,  74, 137,  32,  77, 141,
    29,  74, 140,  30,  74, 140,  34,  75, 139,  36,  75, 141,  40,  78, 142,  46,  79, 144,  53,  81, 145,  59,  86, 150,  65,  88, 148,  60,  81, 141,  57,  76, 133,  53,  70, 125,  44,  63, 114,  36,  54, 103,  30,  47,  95,  24,  42,  89,  23,  42,  90,  30,  49,  98,  44,  59, 113,  57,  68, 126,  71,  77, 137,
    82,  84, 145,  88,  88, 150,  95,  91, 155, 101,  91, 158, 103,  91, 159, 102,  90, 156, 109,  93, 161, 114,  93, 161, 115,  87, 157, 120,  83, 153, 123,  77, 145, 126,  72, 133, 128,  71, 113, 127,  65,  95, 128,  64,  85, 130,  65,  84, 132,  66,  86, 135,  70,  94, 137,  75, 112, 132,  77, 127, 126,  76, 138,
   118,  76, 141, 110,  76, 140, 105,  77, 141, 100,  76, 137,  96,  74, 132,  98,  75, 134,  99,  73, 132, 102,  72, 133, 109,  74, 136, 108,  73, 136, 109,  78, 139, 102,  82, 138,  93,  87, 140,  83,  89, 145,  73,  92, 156,  67,  99, 168,  61, 102, 174,  55, 101, 175,  59, 111, 188,  33,  78, 148,   9,  54, 118,
     6,  20,  75,   6,  23,  78,   6,  31,  88,   6,  32,  89,   5,  29,  86,   7,  32,  88,   6,  30,  84,  10,  50, 107,   6,  33,  88,   7,  51, 110,  10,  69, 127,   6,  55, 111,   8,  45,  96,   6,  39,  91,   6,  21,  69,   5,  13,  56,   7,  22,  63,   9,  19,  61,   5,  11,  49,   7,  15,  50,   5,  12,  48,
     3,  10,  47,   3,  16,  59,   6,  28,  76,  10,  53, 105,  14,  47,  98,  13,  54, 108,   9,  57, 110,   9,  35,  81,   6,  14,  58,   7,  33,  81,   7,  25,  76,  10,  38,  92,   5,  20,  71,  11,  40,  94,   9,  25,  77,   7,  20,  71,   7,  17,  67,  12,  36,  89,   9,  26,  77,  13,  36,  86,   5,  10,  53,
     8,  23,  74,  32,  76, 134,  14,  52, 112,  11,  41, 100,  13,  32,  88,   9,  31,  85,  11,  38,  91,   9,  28,  76,   4,  11,  57,   8,  22,  70,  17,  45,  94,  20,  50,  95,  13,  25,  64,  13,  27,  69,   8,  18,  65,   9,  23,  72,   7,  32,  89,  16,  64, 120,   6,  27,  82,   6,  20,  73,   7,  21,  74,
     8,  42,  99,  12,  57, 118,  22,  72, 129,  15,  74, 132,  11,  58, 119,  10,  53, 110,  10,  31,  71,   7,  11,  42,   3,   5,  33,   7,  24,  69,   8,  45, 107,   7,  52, 112,   3,  21,  81,   6,  40,  98,  14,  59, 111,   5,  28,  84,   6,  27,  81,   5,  34,  87,   7,  33,  85,   7,  28,  74,   3,   8,  47,
     3,   5,  37,   4,   7,  41,   7,  22,  55,   2,   5,  28,   3,   2,  15,   2,   4,  24,   4,   8,  38,   3,   5,  29,   4,   6,  25,   5,  10,  33,   7,  28,  68,   3,  22,  64,   4,  14,  53,   5,  20,  57,   6,  19,  48,   2,   2,  15,   3,   6,  23,   5,  16,  44,   6,  19,  51,   3,   6,  37,   3,   9,  41,
     2,  15,  49,   3,  17,  54,   4,  15,  48,  43,  16,  48,  54,  28,  62,  61,  39,  83,  69,  58, 107,  76,  76, 127,  81,  91, 149,  80,  98, 160,  81,  99, 162,  80, 100, 163,  80, 100, 164,  83, 100, 162,  87, 100, 160,  87,  98, 157,  87,  91, 148,  78,  82, 131,  73,  65, 114,  67,  45,  91,  59,  27,  64,
    47,  14,  32,  42,   9,  24,  45,  11,  25,  45,  11,  25,  47,  11,  27,  48,  12,  28,  47,  11,  25,  47,  10,  23,  46,  10,  23,  46,  11,  24,  45,  14,  29,  49,  18,  38,  50,  20,  44,  53,  22,  48,  57,  26,  50,  59,  28,  52,  60,  30,  50,  56,  27,  46,  56,  27,  45,  53,  24,  48,  53,  25,  51,
    49,  24,  57,  47,  28,  61,  47,  32,  68,  49,  37,  75,  52,  41,  81,  56,  40,  83,  62,  42,  87,  64,  41,  86,  59,  40,  83,  55,  42,  84,  51,  52,  90,  40,  62, 113,  27,  73, 133,  23,  80, 145,  16,  83, 153,  13,  84, 155,   9,  84, 156,   8,  83, 156,   5,  81, 153,   8,  83, 156,  17,  91, 162,
    22,  94, 166,  28,  99, 172,  31, 101, 177,  33, 102, 180,  34, 102, 179,  36, 103, 179,  34,  98, 174,  34,  93, 167,  31,  86, 154,  32,  78, 140,  28,  70, 129,  24,  61, 120,  22,  60, 119,  23,  62, 122,  23,  66, 127,  26,  70, 133,  28,  72, 135,  26,  70, 135,  26,  69, 134,  31,  72, 135,  33,  71, 136,
    35,  71, 135,  39,  72, 136,  46,  75, 139,  52,  80, 142,  53,  79, 140,  59,  79, 137,  53,  72, 128,  48,  64, 114,  37,  52, 101,  32,  47,  94,  25,  41,  86,  20,  37,  80,  19,  36,  82,  28,  46,  93,  36,  52, 103,  48,  61, 118,  57,  69, 128,  65,  74, 136,  75,  78, 143,  80,  83, 147,  86,  86, 149,
    89,  88, 151,  92,  89, 152,  99,  93, 156, 101,  91, 156, 104,  89, 155, 106,  80, 149, 107,  75, 142, 103,  64, 130, 108,  60, 117, 113,  58, 101, 119,  61,  87, 121,  58,  79, 126,  62,  82, 128,  64,  83, 129,  66,  92, 127,  68, 102, 121,  67, 114, 112,  66, 124, 103,  66, 126,  90,  63, 122,  86,  66, 121,
    75,  61, 115,  71,  59, 110,  77,  61, 113,  84,  64, 119,  91,  67, 123,  90,  65, 122,  89,  68, 125,  86,  74, 127,  80,  80, 133,  70,  80, 137,  57,  78, 140,  53,  82, 147,  46,  84, 151,  37,  80, 146,   8,  43, 103,   8,  36,  94,  13,  47, 110,   8,  46, 106,  13,  64, 125,   7,  43, 102,   8,  47, 107,
     7,  58, 118,   5,  41, 100,  14,  64, 124,  11,  67, 129,   9,  45, 102,   9,  56, 114,   7,  40,  91,   5,  35,  84,  11,  32,  80,   5,  14,  59,   7,  19,  61,   6,  17,  56,   4,  12,  52,   5,  10,  49,   8,  19,  57,   4,  12,  51,   6,  26,  68,   9,  32,  78,   7,  34,  84,  11,  49, 104,  14,  75, 137,
     7,  36,  89,   8,  45,  97,   7,  27,  72,   5,  12,  50,   5,  14,  57,   5,  21,  70,   9,  30,  83,  13,  49, 104,  14,  53, 108,  11,  46, 100,  15,  48, 103,   8,  29,  83,   6,  28,  83,   8,  34,  89,  11,  35,  90,   5,  15,  72,   9,  29,  82,  11,  33,  88,  14,  43, 104,  10,  31,  93,  17,  42, 101,
    23,  59, 114,  11,  31,  86,  11,  37,  90,  18,  62, 119,  18,  59, 116,  12,  33,  81,  14,  27,  70,  13,  26,  70,   8,  24,  67,  12,  39,  88,   6,  15,  59,  15,  49, 103,   4,  35,  95,   9,  51, 111,  13,  65, 121,   5,  21,  73,   7,  25,  76,   6,  23,  78,  14,  71, 129,   8,  49, 111,  14,  67, 126,
     8,  44, 104,  14,  66, 120,  11,  39,  81,   5,   6,  34,   2,   3,  28,   4,  16,  53,  11,  67, 128,  10,  61, 122,   6,  33,  95,   5,  22,  80,   6,  37,  90,  11,  44,  95,   9,  38,  92,   7,  43,  96,   6,  38,  88,   6,  20,  66,   3,   9,  44,   2,   2,  26,   5,  13,  45,  11,  26,  61,   3,  10,  40,
     2,   2,  18,   3,   5,  23,   5,  11,  39,   3,   1,  22,   2,   1,  13,   2,   1,  18,   3,   8,  47,   5,  22,  66,   5,  23,  63,   3,   4,  36,   5,  16,  47,   5,  12,  35,   6,  11,  33,   3,   5,  31,   3,   8,  39,   2,   3,  26,   2,   2,  26,   2,   5,  36,   3,  12,  46,   2,  20,  56,  36,  13,  47,
    48,  25,  64,  59,  41,  85,  67,  58, 107,  76,  78, 129,  78,  89, 148,  78,  94, 156,  78,  96, 159,  77,  96, 157,  74,  91, 153,  73,  88, 149,  78,  90, 150,  76,  87, 146,  76,  82, 138,  69,  74, 124,  62,  60, 106,  53,  37,  80,  41,  16,  49,  32,   6,  20,  31,   5,  19,  35,   7,  21,  36,   9,  23,
    40,   9,  24,  45,  10,  28,  46,   9,  24,  46,  10,  23,  46,   9,  23,  43,   9,  21,  43,  12,  28,  45,  15,  36,  46,  17,  40,  50,  20,  45,  52,  22,  47,  54,  24,  50,  55,  26,  49,  52,  24,  48,  51,  22,  46,  47,  21,  50,  44,  21,  53,  40,  24,  57,  38,  31,  64,  39,  38,  74,  39,  42,  81,
    45,  45,  86,  49,  46,  88,  54,  44,  85,  57,  40,  84,  55,  39,  82,  50,  40,  81,  49,  49,  88,  41,  59, 108,  30,  70, 130,  21,  77, 143,  16,  81, 151,  13,  85, 155,  12,  85, 156,  10,  83, 156,   6,  82, 153,  10,  85, 156,  18,  91, 162,  22,  94, 166,  27,  98, 171,  28,  99, 174,  31,  99, 177,
    35, 103, 180,  33, 100, 176,  33,  97, 172,  34,  91, 166,  30,  85, 151,  30,  75, 138,  24,  65, 124,  22,  59, 117,  17,  53, 110,  19,  57, 115,  20,  60, 120,  23,  65, 128,  22,  64, 127,  22,  65, 128,  19,  62, 126,  26,  65, 128,  27,  65, 127,  30,  65, 128,  33,  65, 128,  36,  67, 130,  44,  72, 132,
    46,  73, 133,  48,  70, 128,  45,  65, 117,  41,  57, 105,  34,  47,  95,  26,  39,  85,  20,  35,  77,  15,  30,  72,  15,  31,  73,  22,  38,  84,  32,  47,  97,  42,  55, 112,  50,  62, 120,  62,  71, 134,  69,  75, 140,  75,  80, 144,  79,  82, 147,  83,  85, 149,  85,  86, 150,  86,  86, 150,  86,  84, 147,
    86,  81, 144,  81,  73, 136,  81,  68, 129,  80,  59, 120,  84,  51, 110,  95,  49, 102, 104,  51,  89, 111,  53,  77, 117,  55,  74, 118,  55,  71, 120,  56,  71, 118,  55,  70, 117,  57,  75, 109,  55,  83,  98,  51,  89,  84,  45,  89,  73,  44,  90,  65,  44,  89,  61,  42,  85,  63,  42,  86,  67,  48,  94,
    69,  49,  97,  72,  53, 101,  73,  63, 112,  76,  79, 133,  80,  99, 160,  68, 100, 168,  56,  81, 147,  47,  79, 144,  31,  70, 138,  28,  74, 142,  28,  76, 146,  24,  72, 140,  32,  96, 170,  24,  96, 167,  14,  82, 150,  15,  80, 144,  15,  86, 150,  10,  72, 133,   7,  60, 121,  19,  80, 141,  14,  71, 133,
     8,  41,  96,  12,  32,  79,   4,  15,  55,   4,   8,  49,   4,  13,  57,   5,  17,  60,   4,  13,  53,  10,  27,  66,   4,  11,  53,   8,  25,  66,   6,  14,  58,   5,  18,  61,   4,  13,  58,   5,  15,  64,   9,  36,  85,  12,  43,  96,   8,  30,  82,   5,  20,  65,   4,  10,  49,   4,   5,  44,   7,  22,  63,
    10,  31,  75,   7,  17,  65,  14,  43,  95,  15,  53, 107,   8,  32,  87,  12,  47, 102,  11,  39,  97,  13,  45, 102,   6,  17,  77,  12,  30,  88,  17,  50, 109,   9,  32,  90,   8,  31,  90,  19,  66, 129,  12,  54, 116,  14,  55, 117,  16,  36,  96,  12,  38,  93,  11,  32,  86,   6,  20,  75,   8,  43,  98,
    11,  49, 106,  13,  43,  95,   8,  19,  62,   4,   9,  52,   8,  26,  72,  13,  50, 102,  10,  32,  82,   7,  32,  87,  10,  49, 110,  19,  70, 131,   9,  46, 105,  10,  27,  80,  14,  35,  83,   2,   9,  58,  11,  46, 105,  16,  68, 128,  17,  76, 137,  16,  71, 131,   7,  29,  78,   8,  16,  54,   6,  10,  41,
     4,   7,  36,   4,  13,  46,  15,  70, 129,  20,  83, 147,  12,  70, 133,   5,  46, 103,   5,  26,  79,   4,   9,  60,   8,  34,  89,  11,  43,  99,   6,  36,  89,   8,  38,  84,   5,  13,  49,   3,   2,  27,   3,   4,  31,   3,   9,  42,   6,  17,  46,   2,   4,  24,   2,   2,  17,   4,   8,  33,   5,   9,  33,
     1,   1,  13,   3,   4,  26,   5,  16,  55,   4,  24,  70,   4,  22,  63,   2,   3,  34,   3,   7,  34,   3,   3,  20,   3,   4,  21,   6,  12,  37,   4,   9,  36,   2,   6,  30,   3,   2,  22,   1,   4,  28,   3,  10,  43,   3,  10,  45,  28,  13,  45,  44,  26,  66,  55,  42,  86,  65,  61, 108,  71,  77, 129,
    76,  87, 147,  75,  88, 150,  73,  87, 149,  68,  83, 144,  64,  79, 137,  63,  75, 133,  64,  74, 129,  63,  71, 128,  59,  65, 119,  49,  55, 102,  39,  43,  83,  31,  29,  60,  25,   8,  33,  19,   2,  16,  24,   3,  19,  28,   5,  23,  33,   6,  28,  37,   7,  32,  42,   9,  34,  46,   9,  31,  47,   9,  28,
    44,   9,  27,  41,   8,  24,  39,   9,  30,  40,  10,  34,  44,  14,  40,  45,  15,  42,  47,  17,  45,  52,  22,  50,  51,  23,  51,  48,  20,  47,  42,  18,  45,  42,  20,  49,  37,  20,  53,  33,  27,  58,  34,  34,  69,  34,  41,  81,  36,  43,  90,  40,  47,  94,  43,  48,  94,  48,  48,  91,  51,  45,  86,
    48,  42,  83,  46,  42,  83,  45,  47,  90,  40,  56, 106,  31,  66, 126,  21,  74, 140,  18,  81, 149,  15,  85, 153,  12,  85, 156,   9,  85, 155,   7,  83, 153,  11,  83, 155,  18,  88, 161,  23,  93, 164,  25,  94, 168,  28,  98, 173,  32, 100, 176,  36, 103, 180,  32,  99, 176,  31,  97, 171,  31,  90, 163,
    27,  81, 148,  28,  73, 136,  24,  63, 122,  21,  55, 110,  16,  51, 105,  15,  50, 105,  17,  52, 109,  20,  57, 118,  20,  59, 120,  17,  57, 119,  15,  56, 116,  19,  58, 117,  19,  58, 117,  23,  59, 118,  25,  58, 116,  30,  61, 120,  35,  63, 121,  37,  66, 120,  40,  62, 117,  38,  57, 108,  36,  50,  98,
    30,  41,  87,  26,  36,  78,  20,  30,  69,  18,  27,  67,  16,  27,  69,  21,  32,  78,  29,  41,  89,  35,  47, 102,  45,  56, 114,  55,  64, 125,  61,  70, 134,  64,  73, 138,  70,  76, 142,  73,  77, 144,  74,  78, 144,  74,  76, 142,  72,  74, 137,  70,  72, 132,  64,  66, 123,  61,  61, 113,  59,  55, 107,
    61,  47,  99,  73,  42,  97,  87,  43,  90, 101,  48,  76, 108,  50,  68, 114,  53,  66, 115,  52,  64, 116,  52,  65, 112,  50,  63, 104,  46,  61,  90,  38,  57,  79,  33,  65,  66,  28,  69,  56,  26,  67,  54,  27,  68,  56,  29,  69,  54,  27,  67,  56,  32,  71,  58,  38,  82,  69,  72, 123,  82, 153, 228,
    82, 156, 241,  63, 123, 204,  52, 101, 175,  56, 116, 195,  56, 121, 202,  60, 126, 210,  64, 130, 215,  61, 130, 215,  58, 127, 206,  34, 103, 177,  21,  87, 155,  15,  77, 141,  13,  66, 126,   7,  44, 102,   8,  61, 119,   7,  36,  90,   8,  37,  87,   5,  12,  52,  10,  27,  69,   8,  25,  65,   5,  20,  61,
     4,  20,  62,   6,  16,  54,   3,   6,  43,   3,  10,  51,   5,  23,  71,   6,  24,  71,   6,  15,  60,   5,  13,  56,   7,  25,  71,   7,  22,  73,   7,  28,  78,   7,  23,  73,   4,   8,  50,   4,   7,  47,   4,   9,  50,   6,  14,  55,   8,  21,  64,   6,  18,  61,   7,  25,  74,   8,  21,  68,   4,  11,  59,
     5,  18,  68,   9,  35,  87,  19,  68, 125,  25,  72, 131,  11,  43, 103,  26,  84, 147,  20,  77, 142,  19,  80, 144,  13,  57, 122,  17,  65, 131,  17,  67, 129,  15,  58, 120,  14,  45, 102,  13,  32,  87,  16,  45,  99,   5,  17,  71,   5,  25,  82,   7,  37,  98,  13,  44, 100,   7,  19,  67,   6,  17,  58,
     7,  28,  72,  22,  73, 130,  16,  54, 108,   3,  14,  70,   7,  47, 109,  20,  85, 148,  11,  51, 110,  20,  50, 102,  13,  25,  69,   4,  13,  63,   7,  28,  86,   5,  41, 100,   8,  62, 124,   9,  61, 122,  10,  32,  82,  10,  18,  54,   2,   6,  36,   4,   6,  35,   4,   9,  43,  13,  59, 114,  22,  95, 156,
    11,  73, 137,  19,  78, 138,   3,  29,  85,   2,  17,  69,  10,  47, 101,  21,  67, 123,   2,  17,  69,   5,  22,  69,   5,  11,  46,   2,   2,  23,   3,   6,  31,   3,   8,  40,   4,  11,  40,   2,   3,  20,   1,   2,  14,   3,   8,  25,   8,  19,  44,   1,   0,  15,   2,   4,  25,   4,  18,  55,   5,  31,  75,
     4,  15,  56,   4,   8,  39,   5,  10,  30,   2,   2,  18,   3,   4,  18,   2,   4,  22,   2,   2,  21,   3,   3,  20,   3,   4,  24,   2,   4,  25,   2,   3,  29,   3,   9,  39,  21,  13,  42,  34,  22,  59,  45,  39,  79,  56,  54, 102,  63,  70, 124,  64,  76, 134,  62,  73, 132,  61,  72, 131,  56,  70, 128,
    51,  63, 117,  45,  57, 109,  47,  57, 107,  48,  56, 107,  40,  49,  95,  32,  39,  79,  24,  28,  62,  15,  16,  41,  10,   2,  17,  11,   2,  15,  17,   2,  22,  23,   3,  28,  28,   4,  35,  35,   7,  43,  42,  11,  46,  45,  12,  45,  43,   9,  38,  42,   8,  34,  39,   7,  34,  37,   6,  36,  41,  12,  40,
    43,  13,  43,  43,  13,  45,  45,  18,  49,  51,  23,  55,  46,  23,  54,  45,  21,  51,  40,  17,  47,  35,  16,  47,  33,  20,  53,  29,  26,  58,  28,  32,  69,  29,  37,  82,  31,  44,  93,  33,  47,  98,  35,  48,  97,  38,  46,  94,  42,  46,  90,  42,  44,  86,  42,  43,  87,  42,  48,  94,  38,  55, 106,
    31,  64, 124,  22,  73, 139,  17,  79, 148,  15,  84, 154,  14,  85, 155,  11,  83, 154,  10,  83, 153,  13,  83, 155,  18,  88, 160,  23,  91, 164,  25,  93, 166,  28,  95, 170,  32,  99, 174,  35, 100, 175,  33,  99, 175,  34,  97, 171,  31,  88, 161,  30,  83, 149,  25,  70, 132,  23,  59, 118,  20,  51, 105,
    14,  44,  96,  13,  41,  96,  15,  46, 102,  15,  50, 106,  16,  51, 108,  11,  47, 106,  11,  47, 105,  13,  50, 107,  14,  50, 107,  18,  52, 109,  19,  50, 108,  25,  55, 112,  27,  57, 113,  31,  60, 114,  32,  56, 109,  31,  50,  99,  30,  44,  90,  28,  36,  81,  26,  35,  75,  22,  30,  70,  17,  27,  67,
    19,  28,  71,  24,  33,  78,  29,  38,  86,  36,  46,  99,  44,  52, 110,  48,  57, 118,  54,  64, 128,  60,  69, 134,  64,  72, 138,  69,  74, 141,  66,  70, 138,  66,  68, 134,  66,  69, 129,  59,  62, 121,  56,  58, 115,  50,  53, 103,  47,  47,  96,  46,  42,  87,  56,  37,  84,  70,  35,  80,  88,  42,  70,
    99,  45,  62, 105,  48,  60, 111,  50,  62, 113,  50,  62, 108,  47,  58,  99,  41,  53,  88,  36,  53,  75,  31,  59,  61,  24,  63,  52,  20,  62,  49,  19,  61,  49,  19,  60,  49,  22,  60,  57,  34,  71,  63,  66, 113,  77, 142, 211,  86, 179, 253,  82, 165, 241,  63, 129, 215,  68, 141, 224,  75, 145, 229,
    64, 133, 216,  67, 133, 219,  59, 124, 208,  37, 103, 179,  20,  83, 153,  13,  70, 135,   7,  60, 120,   9,  57, 117,   4,  28,  83,   7,  43,  96,   9,  48, 103,  13,  41,  92,  10,  34,  83,   5,  20,  63,   6,  15,  54,   7,  13,  50,   6,  16,  54,   5,   9,  47,   3,  10,  48,   6,  26,  67,   8,  33,  77,
     6,  26,  73,   5,  22,  69,   7,  28,  71,   6,  30,  76,   9,  38,  86,  11,  43,  93,   7,  25,  73,   6,  16,  61,   5,  19,  63,   4,  10,  50,   6,  17,  58,   6,  18,  59,   5,  12,  57,   4,  15,  61,   8,  27,  72,   8,  26,  74,   8,  25,  74,   8,  27,  76,  10,  36,  86,   7,  27,  80,   5,  18,  73,
     6,  22,  82,  14,  45, 106,  12,  46, 110,  14,  64, 130,  14,  54, 121,  20,  67, 134,   9,  38, 100,  12,  51, 113,  15,  56, 114,  15,  42,  95,  18,  42,  93,   8,  25,  77,   6,  24,  83,  12,  49, 108,  12,  47, 106,   9,  28,  81,   6,  12,  55,   8,  17,  54,  15,  56, 107,  10,  23,  69,   5,  15,  66,
    11,  60, 119,  22,  86, 153,  10,  39, 103,  11,  44,  97,   7,  15,  56,   8,  17,  67,  15,  55, 110,  14,  59, 118,  20,  82, 142,  13,  74, 133,   9,  37,  85,   3,   5,  39,   3,  10,  41,   5,  12,  42,   7,  15,  51,   7,  27,  77,   6,  47, 106,   9,  61, 125,  18,  85, 146,   3,  35,  92,   3,  16,  71,
     6,  34,  89,   9,  53, 107,   5,  31,  82,   7,  25,  68,   6,  19,  52,   3,   1,  18,   3,   6,  29,   2,   8,  36,   3,  11,  42,   2,   2,  24,   1,   1,  15,   2,   4,  20,   2,   5,  26,   1,   2,  15,   2,   3,  22,   3,  12,  48,   4,  24,  69,   5,  17,  58,   3,   5,  37,   1,   1,  18,   1,   1,  12,
     1,   1,   9,   2,   4,  19,   2,   3,  20,   1,   2,  15,   2,   5,  22,   2,   4,  23,   4,   7,  33,   3,   5,  36,  13,   9,  36,  23,  17,  49,  33,  29,  66,  42,  42,  86,  51,  57, 110,  53,  61, 117,  49,  58, 113,  46,  55, 110,  45,  54, 105,  37,  46,  94,  31,  39,  84,  30,  39,  84,  30,  38,  79,
    24,  32,  69,  17,  24,  53,  13,  15,  41,   5,   5,  23,   3,   1,  14,  11,   3,  21,  16,   4,  27,  22,   5,  34,  30,   7,  44,  35,   9,  50,  40,  10,  53,  44,  11,  52,  44,  11,  51,  44,  13,  49,  44,  12,  47,  43,  12,  45,  43,  14,  48,  40,  13,  46,  42,  17,  50,  44,  22,  56,  47,  22,  57,
    42,  20,  54,  40,  18,  50,  37,  15,  47,  31,  14,  46,  30,  16,  49,  25,  21,  55,  22,  27,  66,  19,  31,  77,  23,  37,  89,  25,  42,  95,  27,  46,  98,  29,  46,  97,  33,  44,  92,  37,  42,  89,  37,  42,  90,  40,  48,  98,  38,  54, 108,  32,  61, 120,  26,  73, 138,  20,  79, 148,  18,  84, 153,
    16,  85, 154,  14,  84, 153,  12,  82, 152,  15,  84, 154,  19,  86, 155,  24,  90, 159,  25,  90, 162,  25,  93, 166,  30,  96, 170,  30,  96, 171,  34,  97, 172,  35,  95, 168,  28,  87, 157,  25,  76, 141,  25,  66, 128,  22,  57, 113,  17,  48,  98,  14,  38,  87,  14,  38,  88,  13,  40,  92,  12,  43,  96,
    11,  43,  98,   7,  43,  98,   5,  41,  95,  12,  45, 101,   8,  42,  98,  12,  44, 100,  16,  46, 102,  21,  52, 107,  24,  53, 108,  27,  52, 107,  30,  52, 104,  30,  47,  96,  29,  42,  89,  27,  37,  82,  26,  33,  78,  23,  30,  75,  22,  30,  74,  26,  32,  79,  30,  38,  86,  36,  44,  94,  42,  49, 103,
    48,  55, 114,  51,  60, 121,  58,  65, 128,  64,  70, 134,  67,  72, 138,  67,  72, 137,  68,  71, 135,  64,  67, 129,  61,  63, 122,  55,  57, 115,  47,  50, 103,  42,  43,  92,  37,  36,  81,  35,  31,  70,  42,  26,  67,  56,  27,  67,  75,  35,  61,  91,  43,  59,  99,  44,  56, 103,  45,  55, 103,  41,  53,
   102,  41,  52,  95,  38,  48,  88,  36,  50,  71,  27,  54,  57,  20,  56,  48,  15,  55,  47,  16,  56,  45,  15,  54,  43,  16,  52,  47,  25,  62,  60,  78, 130,  79, 164, 248,  81, 175, 247,  63, 140, 225,  65, 145, 229,  83, 173, 248,  81, 164, 242,  83, 157, 241,  74, 147, 228,  32,  98, 172,  13,  74, 142,
     8,  58, 119,   4,  40,  99,   4,  37,  94,   4,  37,  92,   8,  45,  97,   7,  32,  79,   7,  29,  77,   8,  24,  65,  10,  33,  77,   4,   9,  42,   5,  12,  47,   4,  13,  50,   5,  12,  51,   6,  18,  61,   4,  16,  56,   6,  24,  67,   6,  24,  64,   8,  32,  76,   9,  30,  77,   2,  12,  55,   3,   8,  50,
     7,  21,  64,   6,  19,  65,   7,  30,  75,   5,  21,  65,   6,  26,  71,   8,  30,  76,   5,  27,  75,   8,  26,  70,   7,  22,  70,  11,  39,  87,   7,  27,  78,  10,  34,  84,   8,  27,  80,   7,  28,  81,  14,  50, 103,   8,  25,  76,   6,  22,  73,  10,  28,  81,  15,  56, 116,  22,  77, 140,  21,  86, 153,
    27,  84, 151,  28,  88, 155,  16,  43, 103,  12,  48, 105,  15,  56, 111,  15,  47,  98,  11,  24,  72,   5,  18,  68,  11,  44, 100,  12,  48, 107,  14,  59, 119,  18,  56, 112,   6,   9,  48,   8,  13,  45,  15,  32,  75,  10,  23,  70,  10,  20,  65,   6,  35,  95,  27,  89, 154,  27,  86, 152,   8,  29,  81,
    13,  25,  66,   8,  29,  74,  11,  48, 105,   9,  41, 103,  15,  63, 124,  13,  71, 130,   9,  35,  85,   4,   5,  37,  10,  20,  58,   5,  12,  46,   9,  27,  66,   8,  25,  75,   7,  51, 109,  10,  60, 121,   9,  70, 133,   7,  48, 108,   4,  19,  78,   4,  24,  80,   7,  44,  97,   6,  33,  83,   3,  10,  49,
     6,  11,  42,   2,   4,  24,   2,   2,  20,   5,  11,  43,   6,  16,  49,   2,   6,  36,   2,   3,  23,   2,   3,  17,   4,   5,  27,   2,   1,  13,   1,   1,  12,   4,  11,  39,   9,  37,  80,   5,  25,  67,   3,  12,  46,   2,   5,  28,   1,   2,  13,   2,   2,  10,   3,   4,  18,   1,   1,  11,   1,   1,   6,
     2,   2,  12,   3,   7,  31,   6,  18,  51,   3,  11,  45,  10,   7,  31,  17,  12,  41,  18,  20,  51,  25,  28,  65,  33,  38,  82,  40,  46,  94,  41,  47,  95,  34,  41,  86,  29,  37,  78,  24,  31,  70,  20,  28,  64,  17,  22,  56,  15,  21,  51,  10,  16,  42,  10,  12,  37,   8,   8,  29,   6,   4,  25,
     7,   3,  25,  15,   6,  31,  18,   8,  38,  23,   9,  42,  29,  13,  50,  33,  12,  54,  39,  14,  58,  42,  13,  60,  43,  14,  58,  47,  16,  57,  48,  18,  57,  46,  15,  52,  42,  15,  51,  39,  14,  50,  41,  19,  53,  40,  20,  54,  38,  17,  52,  38,  17,  51,  37,  16,  49,  30,  10,  44,  28,  10,  44,
    26,  11,  44,  20,  15,  48,  18,  21,  58,  16,  25,  69,  17,  32,  80,  20,  38,  90,  24,  43,  95,  28,  45,  96,  30,  43,  93,  32,  40,  90,  36,  42,  91,  37,  48,  97,  35,  54, 107,  31,  60, 118,  23,  66, 129,  17,  74, 141,  15,  79, 147,  13,  80, 149,  12,  80, 148,  11,  78, 148,  14,  79, 148,
    15,  80, 149,  19,  85, 154,  19,  85, 155,  23,  90, 160,  24,  91, 163,  27,  92, 163,  27,  92, 163,  26,  88, 157,  24,  81, 147,  25,  73, 136,  22,  60, 118,  19,  52, 105,  17,  43,  91,  13,  34,  82,  15,  36,  82,  14,  37,  85,  13,  41,  92,  13,  42,  98,  13,  45,  99,  10,  41,  96,  15,  45, 101,
    12,  42,  98,  13,  43, 100,  15,  44, 100,  19,  48, 104,  24,  51, 106,  27,  52, 106,  27,  48, 101,  28,  46,  97,  29,  43,  91,  28,  39,  88,  27,  35,  83,  29,  35,  84,  29,  38,  87,  32,  41,  90,  37,  45,  96,  45,  52, 107,  50,  56, 114,  55,  61, 120,  60,  66, 127,  68,  73, 135,  71,  73, 136,
    71,  72, 137,  70,  71, 135,  66,  68, 129,  61,  62, 122,  54,  56, 114,  48,  50, 103,  42,  43,  91,  35,  32,  74,  28,  24,  61,  26,  18,  53,  34,  12,  49,  52,  22,  56,  70,  30,  50,  82,  35,  49,  94,  39,  50,  97,  38,  50,  99,  39,  50,  97,  38,  48,  90,  35,  46,  80,  30,  44,  65,  24,  49,
    53,  18,  54,  45,  12,  52,  41,  12,  52,  41,  12,  51,  41,  15,  53,  49,  31,  67,  61,  88, 144,  78, 158, 239,  56, 139, 222,  36, 113, 189,  68, 154, 238,  61, 146, 226,  43, 119, 196,  83, 161, 242,  70, 141, 221,  42, 112, 184,  19,  87, 154,   8,  59, 119,  10,  64, 124,  10,  58, 117,   5,  40,  94,
     4,  37,  89,   5,  22,  69,   6,  25,  65,   3,   8,  36,   3,   9,  33,   3,   8,  36,   6,  19,  57,   4,  24,  67,   7,  24,  64,   7,  19,  61,   6,  26,  68,   6,  18,  60,   4,  11,  50,   3,  15,  54,   5,  15,  58,   4,  19,  65,   5,  16,  59,   6,  16,  55,   6,  16,  58,   3,  10,  55,   4,  12,  56,
     6,  18,  61,   4,  23,  71,   5,  36,  86,   8,  31,  82,   5,  24,  74,   6,  33,  78,   9,  39,  89,  12,  41,  91,  14,  46,  99,   7,  36,  91,   9,  40,  93,  13,  38,  89,   8,  22,  71,   8,  21,  69,   6,  39,  98,  10,  63, 126,  25,  88, 154,  15,  66, 133,  27,  82, 147,  10,  37,  97,   7,  18,  72,
    10,  23,  74,  11,  36,  88,  10,  34,  85,   6,  16,  66,  15,  41,  97,  16,  51, 109,  18,  58, 120,  12,  37,  94,   4,  12,  55,   5,  11,  52,   9,  33,  84,   8,  14,  57,   4,  13,  58,   9,  38,  95,   9,  43, 105,   8,  35,  94,  10,  34,  87,   7,  15,  55,  11,  30,  74,  13,  60, 115,  13,  58, 120,
    10,  48, 111,  15,  69, 129,  15,  60, 113,   5,  22,  62,   8,  24,  62,   6,  27,  69,   5,   8,  42,   9,  36,  86,  13,  67, 127,   4,  27,  89,   5,  55, 117,   6,  56, 117,   3,  41, 100,   5,  21,  79,   8,  40,  91,   5,  24,  75,   3,  13,  52,   6,  14,  46,   5,   8,  27,   1,   1,  18,   2,   3,  29,
     4,  12,  45,   4,  11,  46,   4,   4,  30,   2,   3,  23,   3,   4,  25,   1,   2,  14,   2,   2,  20,   2,   6,  32,   3,  18,  59,   3,  14,  53,   5,  15,  50,   5,  12,  37,   2,   3,  19,   2,   4,  12,   5,  10,  26,   1,   2,  10,   2,   1,   6,   1,   2,  11,   2,   4,  25,   4,  13,  47,   3,  16,  51,
     2,   2,  20,   8,   7,  30,   9,  11,  39,  12,  19,  51,  17,  26,  63,  22,  29,  69,  24,  31,  71,  20,  28,  67,  17,  25,  62,  15,  21,  54,  12,  14,  44,  12,   9,  35,   8,   6,  28,   7,   4,  24,  10,   6,  28,   9,   6,  28,  11,   6,  31,  12,   7,  34,  15,   7,  37,  21,  11,  44,  21,  12,  47,
    29,  15,  54,  34,  16,  56,  36,  16,  60,  40,  17,  61,  45,  17,  63,  49,  21,  65,  51,  21,  61,  50,  18,  56,  46,  18,  54,  43,  16,  52,  42,  17,  52,  38,  15,  49,  34,  11,  47,  34,  11,  46,  33,  10,  44,  30,   9,  42,  26,   6,  40,  22,   6,  39,  20,   9,  44,  17,  16,  52,  17,  22,  63,
    21,  29,  77,  18,  32,  82,  24,  38,  89,  25,  39,  89,  29,  41,  90,  31,  38,  86,  34,  41,  88,  33,  43,  93,  32,  49, 103,  29,  54, 112,  23,  61, 122,  16,  67, 130,  15,  72, 138,  12,  74, 138,  11,  73, 139,  10,  70, 138,  12,  70, 136,  14,  73, 138,  17,  76, 142,  19,  78, 144,  21,  79, 147,
    22,  80, 146,  26,  81, 149,  27,  83, 150,  24,  79, 143,  23,  73, 135,  20,  63, 123,  20,  55, 110,  22,  48, 101,  20,  41,  89,  15,  34,  81,  16,  34,  81,  15,  34,  82,  14,  37,  87,  15,  40,  94,  14,  42,  97,  15,  45, 101,  15,  44, 102,  17,  46, 102,  19,  47, 105,  18,  46, 103,  22,  49, 106,
    27,  52, 108,  30,  51, 107,  28,  48, 104,  28,  46, 100,  29,  43,  97,  30,  43,  95,  32,  43,  95,  32,  44,  98,  35,  46, 100,  40,  52, 108,  44,  56, 113,  52,  59, 119,  58,  64, 125,  64,  68, 130,  69,  72, 135,  71,  73, 135,  73,  74, 136,  71,  72, 133,  68,  68, 128,  60,  61, 122,  54,  54, 112,
    47,  47,  99,  40,  37,  85,  34,  27,  70,  28,  21,  56,  23,  12,  45,  21,   6,  38,  32,   7,  40,  47,  16,  42,  64,  24,  39,  76,  30,  40,  90,  34,  44,  95,  38,  49,  95,  38,  48,  93,  36,  47,  85,  33,  45,  74,  30,  45,  62,  23,  47,  49,  14,  50,  40,  11,  47,  37,  12,  49,  38,  13,  51,
    42,  18,  54,  50,  38,  76,  72, 123, 197,  63, 128, 213,  16,  75, 138,  36, 106, 180,  45, 121, 207,  30, 103, 179,  23,  96, 170,  57, 128, 208,  20,  81, 146,  27, 100, 171,  24,  98, 167,  15,  90, 155,  36, 124, 197,  24, 115, 190,   9,  83, 152,  10,  75, 140,   6,  44,  96,   4,  13,  42,   4,   9,  35,
     6,  15,  47,  10,  24,  60,   5,  19,  58,   9,  36,  79,   7,  26,  69,   4,  15,  56,   4,  18,  59,   4,  22,  66,   5,  24,  65,   6,  27,  69,   5,  23,  66,   5,  32,  78,   6,  26,  69,   6,  22,  65,   7,  26,  69,   5,  25,  70,   3,  18,  60,   5,  15,  56,   3,  22,  69,   5,  40,  91,   6,  48,  97,
     9,  28,  73,  10,  26,  69,   6,  21,  67,   5,  22,  69,  10,  38,  93,   6,  41,  96,  13,  56, 109,  11,  43,  95,   6,  22,  69,   9,  30,  80,  13,  65, 123,  12,  61, 126,  18,  60, 125,  12,  62, 126,  12,  50, 114,  16,  58, 119,  10,  29,  85,  14,  28,  77,   4,  10,  60,   8,  24,  74,   3,   6,  58,
     5,  12,  68,   7,  29,  87,   8,  37,  94,  12,  37,  93,  15,  40,  90,   6,  18,  61,  17,  54, 108,   9,  25,  71,   6,  16,  60,   6,  38,  95,   8,  55, 118,  13,  45, 102,   8,  25,  74,   8,  15,  54,   6,  13,  55,  11,  54, 108,  10,  47, 109,   9,  32,  92,  14,  60, 119,  11,  56, 114,   5,  23,  68,
     5,  18,  59,   8,  42,  88,   6,  14,  50,  10,  45,  96,   8,  58, 117,   4,  44, 107,   5,  55, 118,   8,  64, 125,   5,  44, 105,   3,  28,  87,   3,  17,  72,   3,  20,  69,   4,  14,  53,   5,  15,  45,   1,   0,  16,   1,   2,  20,   2,   4,  32,   3,  10,  46,   6,  23,  63,   2,   4,  37,   2,   4,  30,
     3,   8,  34,   2,   2,  20,   2,   3,  22,   4,   9,  38,   5,  25,  62,   3,  10,  43,   4,   7,  37,   2,   2,  25,   1,   1,  14,   2,   2,  13,   3,   3,  15,   3,   5,  16,   2,   2,  10,   2,   5,  21,   4,  12,  41,   3,  15,  49,   2,   6,  38,   0,   1,  11,   1,   1,  16,   3,   4,  27,   5,   8,  36,
     7,  14,  46,   8,  16,  51,  10,  18,  54,   9,  17,  54,  12,  19,  56,  10,  13,  44,   8,   8,  36,   8,   4,  30,  10,   6,  30,  10,   4,  29,  12,   6,  31,  13,   5,  32,  18,   8,  38,  19,   9,  42,  18,  11,  43,  24,  14,  50,  26,  15,  52,  32,  17,  56,  35,  16,  57,  36,  16,  60,  42,  19,  64,
    47,  20,  64,  50,  22,  65,  53,  23,  62,  52,  21,  58,  48,  17,  52,  46,  15,  52,  39,  13,  47,  37,  13,  47,  33,   9,  44,  29,   7,  43,  27,   5,  41,  27,   7,  40,  25,   5,  37,  22,   5,  38,  24,   8,  44,  24,  15,  55,  23,  23,  63,  26,  29,  71,  24,  30,  75,  27,  35,  81,  28,  36,  83,
    31,  37,  83,  31,  37,  82,  32,  37,  82,  32,  41,  89,  30,  44,  95,  27,  47, 104,  21,  53, 111,  16,  57, 117,  14,  60, 122,  12,  64, 124,  12,  62, 121,  13,  60, 121,  14,  60, 122,  17,  63, 124,  17,  63, 124,  19,  67, 128,  22,  68, 130,  24,  68, 132,  24,  70, 132,  25,  71, 132,  23,  67, 129,
    22,  63, 122,  23,  57, 113,  23,  51, 105,  23,  46,  97,  21,  40,  90,  19,  36,  83,  20,  35,  83,  20,  37,  86,  18,  39,  92,  20,  40,  97,  20,  43, 101,  19,  46, 103,  22,  48, 107,  23,  48, 108,  23,  49, 110,  27,  52, 111,  25,  49, 110,  26,  50, 109,  31,  53, 109,  32,  50, 108,  33,  49, 108,
    36,  48, 105,  38,  50, 106,  42,  54, 111,  41,  52, 112,  46,  57, 118,  50,  61, 121,  57,  65, 127,  64,  68, 131,  68,  71, 135,  73,  74, 139,  73,  74, 137,  74,  75, 137,  70,  71, 132,  66,  67, 125,  62,  61, 119,  55,  54, 110,  48,  44,  96,  40,  32,  79,  33,  21,  64,  27,  13,  51,  21,   9,  37,
    17,   4,  28,  21,   4,  29,  33,   7,  33,  47,  15,  31,  64,  23,  36,  76,  28,  39,  86,  33,  42,  94,  37,  47,  94,  37,  48,  94,  38,  50,  84,  36,  51,  73,  32,  52,  62,  26,  53,  53,  20,  55,  49,  19,  56,  47,  21,  59,  49,  23,  61,  50,  26,  63,  63,  52,  92,  81, 132, 213,  41,  91, 164,
     9,  49, 108,  47, 123, 204,  24, 102, 180,   8,  64, 127,  13,  63, 124,  30, 100, 174,  10,  63, 128,  41, 131, 211,  45, 142, 223,  46, 148, 228,  59, 159, 240,  27, 116, 193,  17, 109, 186,  33, 129, 216,  18, 105, 188,   7,  54, 112,   4,   9,  32,   3,   6,  32,   7,  18,  57,   5,  24,  64,   6,  25,  63,
     8,  28,  67,   6,  18,  59,   4,  17,  59,   5,  16,  58,   4,  11,  49,   4,  16,  58,   5,  12,  52,   7,  30,  76,   3,  11,  52,   4,  16,  59,   5,  15,  58,   6,  20,  62,   6,  19,  62,   5,  24,  68,   6,  25,  70,   7,  29,  78,   7,  25,  72,   7,  21,  64,   5,  16,  56,   7,  23,  70,   8,  31,  83,
     8,  24,  78,  10,  41,  96,  10,  38,  89,  12,  29,  76,   6,  17,  66,   6,  20,  71,  10,  40, 100,  12,  53, 115,   8,  39, 101,  11,  53, 116,  15,  57, 116,  13,  49, 110,  11,  41,  99,  12,  34,  87,   7,  24,  77,  12,  36,  87,   9,  37,  91,  12,  45, 103,   7,  30,  84,  16,  50, 105,  11,  35,  89,
    11,  39,  88,   8,  20,  63,  19,  58, 113,  11,  42,  91,   7,  16,  61,  10,  45, 100,  13,  62, 124,  20,  73, 132,  10,  28,  74,  14,  32,  65,   7,  11,  48,   6,  20,  70,  12,  48, 107,   7,  26,  83,   8,  31,  90,  10,  57, 112,  12,  48,  98,   6,  23,  68,  14,  48,  92,   9,  22,  59,   6,  38,  86,
     6,  50, 112,  10,  70, 130,   4,  51, 116,   8,  57, 121,  10,  64, 125,   5,  39,  97,   4,  32,  85,   6,  22,  69,   5,  13,  47,   4,  11,  38,   1,   1,  16,   2,   3,  26,   2,  10,  48,   2,  15,  59,   3,  13,  58,   2,   6,  41,   2,   5,  34,   3,  12,  42,   2,   3,  28,   3,   4,  32,   2,   3,  34,
     3,   8,  39,   3,  10,  43,   4,   7,  37,   3,   8,  32,   2,   1,  16,   2,   2,  15,   1,   2,   9,   2,   4,  17,   1,   2,  11,   2,   4,  23,   3,  14,  47,   3,  13,  44,   2,   5,  33,   0,   2,   8,   1,   1,  10,   1,   2,  15,   3,   3,  24,   2,   3,  32,   5,   8,  41,   5,   8,  46,   6,  12,  51,
     9,  14,  51,  11,  10,  44,  13,   8,  40,  14,   7,  39,  19,   7,  40,  21,   8,  39,  20,   6,  39,  23,   6,  40,  25,  11,  45,  23,  11,  46,  25,  16,  50,  28,  14,  53,  29,  15,  53,  32,  15,  56,  33,  14,  57,  37,  16,  60,  41,  18,  61,  47,  19,  63,  50,  18,  60,  53,  19,  57,  51,  17,  51,
    49,  16,  45,  45,  12,  41,  42,  11,  41,  36,   9,  40,  32,   7,  41,  29,   7,  42,  30,   7,  43,  31,   6,  42,  30,   6,  41,  28,   6,  41,  29,   9,  48,  31,  15,  58,  31,  24,  65,  29,  27,  66,  33,  32,  71,  32,  33,  74,  32,  32,  74,  33,  33,  76,  33,  35,  76,  35,  36,  79,  33,  39,  83,
    32,  42,  90,  30,  45,  98,  24,  47, 100,  22,  50, 106,  20,  52, 108,  16,  51, 107,  16,  53, 107,  16,  50, 107,  17,  51, 108,  20,  51, 110,  20,  53, 111,  22,  55, 114,  25,  60, 117,  27,  60, 118,  27,  60, 119,  28,  60, 118,  28,  59, 118,  26,  57, 112,  27,  53, 108,  26,  48, 101,  25,  43,  94,
    25,  40,  91,  24,  39,  88,  23,  38,  89,  24,  40,  94,  26,  43, 101,  24,  43, 101,  26,  46, 106,  27,  49, 109,  25,  49, 112,  28,  52, 115,  26,  51, 115,  31,  53, 117,  32,  53, 115,  35,  54, 116,  34,  52, 113,  37,  53, 113,  40,  54, 113,  44,  55, 114,  47,  57, 118,  51,  61, 122,  54,  64, 127,
    58,  67, 131,  63,  70, 135,  68,  73, 138,  76,  77, 142,  77,  78, 142,  77,  77, 140,  75,  76, 137,  72,  73, 134,  67,  66, 126,  60,  61, 118,  54,  51, 105,  47,  41,  91,  43,  29,  79,  37,  17,  60,  26,   9,  42,  20,   5,  31,  14,   3,  22,  15,   4,  21,  20,   4,  21,  31,   6,  23,  46,  13,  26,
    61,  19,  31,  74,  27,  35,  87,  34,  43,  95,  38,  49,  97,  41,  52,  98,  45,  59,  86,  41,  60,  77,  37,  61,  71,  35,  67,  64,  32,  68,  60,  29,  65,  59,  28,  65,  62,  32,  70,  63,  35,  73,  70,  49,  91,  77, 118, 191,  23,  62, 123,   9,  49, 105,  50, 125, 208,  30, 105, 182,   5,  49, 103,
    12,  61, 117,  22,  90, 162,   9,  65, 129,  31, 118, 194,  59, 162, 247,  65, 174, 251,  50, 152, 229,  13,  85, 155,  16,  99, 176,  36, 130, 216,  37, 130, 216,  12,  85, 157,   8,  44,  93,   4,  13,  45,   4,  14,  47,   7,  31,  74,   5,  21,  60,   4,  24,  63,   6,  37,  86,   9,  46,  94,   6,  35,  81,
     5,  18,  57,   4,  13,  50,   4,  29,  68,   6,  20,  62,   8,  41,  85,   4,  16,  59,   6,  26,  71,   8,  26,  66,   9,  29,  70,   4,  14,  56,   4,   8,  49,   4,   5,  46,   3,  10,  52,   3,   8,  48,   4,  10,  50,   4,  26,  78,  10,  54, 109,  11,  58, 112,  11,  62, 115,   6,  23,  74,   6,  17,  65,
     7,  22,  72,  10,  41,  96,   8,  40,  99,  13,  55, 115,  12,  52, 107,   9,  43,  97,  12,  35,  90,  20,  56, 113,  16,  53, 111,  10,  42,  96,  10,  33,  85,  10,  40,  93,  10,  52, 108,  17,  62, 117,   8,  24,  76,   5,  14,  62,   9,  24,  71,   5,  16,  57,  12,  25,  65,  10,  29,  71,  14,  43,  93,
     9,  31,  81,   6,  35,  89,  17,  85, 149,  21,  88, 153,  14,  38,  81,   2,   1,  26,   6,  15,  53,   6,  17,  63,  11,  49, 104,  17,  63, 115,   6,  42,  99,   8,  47, 104,   7,  46,  99,   8,  35,  81,   4,  11,  44,   3,   3,  28,   6,  20,  58,   9,  56, 112,   9,  56, 120,  16,  78, 140,  10,  67, 128,
     6,  54, 113,   5,  46, 101,   6,  47, 100,   5,  26,  71,   2,   4,  32,   2,   2,  20,   2,   3,  19,   2,   5,  32,   2,  11,  50,   3,  19,  64,   4,  33,  83,   4,  24,  70,   4,  12,  51,   3,  15,  52,   4,  12,  47,   3,   8,  40,   4,  11,  42,   4,   9,  41,   3,   4,  35,   3,   8,  38,   4,  10,  36,
     3,   6,  25,   1,   2,  11,   1,   2,   5,   1,   2,   8,   2,   2,  14,   3,   6,  30,   2,  10,  42,   3,  10,  41,   2,   2,  30,   2,   4,  20,   4,   6,  27,   3,   6,  30,   3,   5,  36,   5,   8,  43,   7,   9,  47,   8,  10,  50,  12,  13,  51,  14,  15,  53,  16,  16,  50,  19,  13,  48,  22,  10,  46,
    27,  10,  47,  29,  10,  48,  28,   7,  45,  28,   8,  46,  29,  10,  48,  30,  12,  52,  29,  13,  50,  32,  15,  55,  31,  14,  53,  32,  13,  52,  34,  12,  54,  35,  12,  55,  39,  13,  55,  43,  14,  55,  49,  16,  53,  51,  15,  48,  53,  17,  41,  51,  15,  35,  46,  10,  31,  38,   8,  29,  35,   6,  33,
    31,   6,  38,  33,   8,  43,  35,  11,  48,  36,  10,  48,  34,   9,  48,  34,  10,  50,  33,  13,  55,  33,  17,  60,  34,  24,  67,  35,  27,  69,  34,  29,  68,  34,  31,  72,  33,  30,  71,  34,  31,  73,  35,  33,  75,  36,  35,  76,  35,  36,  78,  33,  37,  82,  31,  39,  87,  25,  41,  89,  24,  43,  94,
    22,  45,  95,  20,  44,  96,  20,  46,  97,  20,  44,  96,  22,  44,  98,  22,  44,  99,  22,  46, 100,  24,  49, 103,  26,  51, 103,  27,  51, 107,  29,  53, 108,  27,  52, 107,  29,  51, 106,  30,  50, 106,  30,  50, 102,  32,  49, 100,  31,  46,  96,  32,  44,  97,  29,  42,  96,  31,  44, 102,  30,  47, 105,
    31,  49, 108,  33,  51, 114,  34,  52, 115,  32,  53, 117,  34,  56, 122,  34,  56, 121,  34,  57, 122,  37,  57, 122,  35,  56, 120,  37,  56, 120,  38,  55, 118,  43,  58, 120,  48,  60, 122,  54,  63, 125,  58,  66, 129,  60,  68, 133,  65,  72, 138,  69,  75, 140,  76,  78, 143,  79,  81, 146,  81,  80, 143,
    79,  78, 142,  77,  77, 140,  72,  73, 134,  66,  66, 125,  60,  60, 115,  54,  49, 100,  47,  39,  87,  41,  27,  71,  37,  16,  57,  28,   7,  37,  17,   4,  24,  12,   2,  17,  12,   3,  16,  12,   2,  14,  18,   2,  15,  30,   6,  20,  46,  11,  22,  61,  18,  27,  74,  26,  35,  87,  34,  44,  95,  38,  48,
    99,  44,  55, 100,  46,  63,  92,  44,  66,  86,  42,  70,  82,  40,  74,  77,  37,  75,  74,  37,  74,  75,  37,  75,  76,  38,  75,  78,  41,  79,  81,  49,  93,  83, 110, 173,  35,  75, 137,   6,  44, 101,  14,  77, 144,  18,  94, 168,   5,  31,  82,   9,  69, 129,   5,  53, 111,   4,  51, 112,  14,  88, 156,
    47, 148, 234,  50, 151, 235,  17, 100, 174,   8,  60, 124,  26, 110, 189,  47, 139, 225,  29, 120, 204,  23, 112, 192,  17,  99, 173,   4,  25,  65,   4,   4,  30,   5,  22,  58,   7,  43,  90,   8,  47,  96,   6,  39,  86,  10,  33,  77,   6,  26,  67,   4,  11,  41,   3,   7,  36,   4,  14,  43,   5,  10,  39,
     4,  17,  50,   5,  14,  49,   7,  15,  49,   5,   5,  38,   4,   7,  40,   4,  11,  51,   6,  26,  72,   4,  22,  69,   8,  24,  70,   5,  23,  69,   8,  25,  71,   6,  41,  91,   8,  46, 101,   7,  44,  95,  11,  49, 101,   6,  14,  61,   7,  27,  75,   9,  30,  80,   6,  40,  97,   7,  50, 111,   9,  36,  91,
     5,   7,  55,   8,  14,  61,   7,  20,  71,   6,  23,  77,  13,  45,  99,  14,  40,  93,   9,  22,  72,   9,  30,  83,  11,  47, 103,   7,  27,  80,  12,  35,  83,   4,  13,  57,   6,  14,  55,   4,   8,  45,   5,  12,  46,   7,  17,  49,  14,  46,  94,  11,  39,  87,   7,  22,  73,  10,  46, 109,  16,  72, 133,
     9,  32,  73,   4,   4,  25,   4,  10,  47,   8,  19,  64,   7,  32,  86,  10,  37,  90,  13,  49, 104,   8,  41,  98,   7,  38,  90,   7,  22,  64,   3,  12,  47,   3,   2,  28,   4,  12,  43,   9,  51, 105,  11,  70, 133,  19,  85, 149,   6,  54, 114,   5,  35,  94,   5,  23,  80,   8,  42,  93,   6,  28,  70,
     2,   2,  23,   3,   3,  19,   2,   3,  21,   3,  10,  43,   3,  15,  56,   4,  28,  76,   6,  33,  85,   4,  32,  84,   5,  29,  78,   2,   9,  51,   4,  20,  61,   6,  22,  61,   4,  11,  44,   4,   7,  37,   3,   8,  36,   2,   5,  25,   2,   4,  22,   2,   3,  18,   1,   1,   8,   1,   1,   7,   1,   2,  12,
     2,   4,  21,   3,   9,  33,   3,  10,  40,   3,   9,  42,   3,   3,  31,   4,  25,  80,   4,  24,  92,   3,  20,  81,   5,  15,  65,   5,  11,  56,   8,  12,  54,  10,  13,  54,  14,  13,  55,  19,  18,  57,  22,  20,  56,  22,  15,  54,  30,  13,  54,  32,  12,  53,  35,  10,  51,  34,   7,  49,  33,   9,  49,
    33,  10,  51,  32,  12,  53,  30,  11,  50,  31,  10,  50,  30,  10,  49,  29,   8,  45,  30,   7,  45,  32,   9,  45,  34,   8,  46,  40,  10,  47,  47,  14,  45,  51,  14,  39,  55,  17,  34,  50,  13,  29,  45,   8,  24,  37,   8,  23,  34,   6,  30,  33,   8,  39,  34,  10,  45,  33,  11,  48,  33,  10,  50,
    33,  10,  52,  36,  15,  58,  37,  18,  63,  36,  22,  66,  36,  26,  70,  39,  29,  73,  39,  30,  73,  38,  31,  74,  40,  34,  77,  39,  35,  77,  37,  35,  76,  36,  36,  75,  35,  35,  76,  32,  35,  77,  30,  35,  79,  28,  35,  80,  26,  36,  84,  25,  38,  86,  22,  39,  87,  23,  38,  86,  22,  39,  88,
    23,  38,  90,  24,  39,  90,  23,  40,  91,  25,  42,  93,  28,  45,  96,  29,  46,  97,  30,  46,  98,  30,  47, 101,  31,  44, 100,  32,  46, 100,  34,  47, 100,  33,  47,  99,  33,  47, 100,  34,  45, 102,  37,  48, 107,  32,  49, 109,  32,  51, 112,  34,  54, 117,  39,  57, 121,  38,  55, 121,  40,  58, 124,
    39,  58, 125,  39,  59, 126,  40,  59, 125,  42,  59, 125,  42,  60, 124,  43,  60, 126,  47,  61, 124,  51,  63, 126,  56,  67, 130,  60,  68, 131,  64,  70, 133,  71,  75, 138,  75,  78, 141,  79,  82, 144,  79,  79, 144,  84,  83, 145,  83,  82, 144,  80,  79, 140,  73,  73, 133,  67,  67, 126,  59,  59, 113,
    52,  51,  98,  45,  37,  82,  39,  22,  65,  34,  11,  49,  28,   5,  34,  21,   4,  23,  12,   2,  14,  10,   2,  12,  10,   2,  11,  10,   2,  10,  15,   2,  12,  29,   4,  16,  46,  10,  19,  62,  19,  28,  79,  26,  35,  87,  30,  40,  97,  38,  48, 102,  44,  56, 103,  47,  64,  99,  45,  65,  95,  45,  71,
    92,  45,  74,  90,  44,  75,  88,  43,  74,  88,  44,  74,  90,  44,  76,  90,  45,  79,  90,  52,  90,  90, 105, 165,  55,  94, 160,   6,  39,  91,   9,  50, 104,  38, 107, 180,   3,  32,  82,  14,  76, 138,   6,  53, 112,   4,  40, 100,   9,  60, 120,  18,  96, 169,  26, 105, 183,   9,  63, 124,   9,  47, 106,
    40, 126, 207,  46, 131, 214,  15,  92, 170,  27, 108, 187,  21,  99, 173,   4,  34,  84,   4,   7,  35,   3,   6,  21,   6,  29,  73,   5,  25,  70,   6,  43,  93,   8,  38,  84,   4,  11,  41,   3,   2,  17,   4,   5,  19,   4,   6,  20,   5,   8,  21,   3,   4,  28,   4,   6,  37,   4,   9,  42,   5,  23,  66,
     7,  23,  67,   7,  20,  61,  12,  33,  78,   6,  29,  74,   6,  26,  71,   6,  31,  77,   9,  39,  87,   6,  32,  80,   6,  29,  79,   5,  19,  66,   9,  41,  88,   6,  21,  68,  12,  34,  81,   7,  24,  73,  10,  55, 110,  11,  64, 125,  11,  42, 101,  10,  40,  94,   8,  24,  68,   8,  19,  66,   5,  19,  73,
     8,  28,  82,  14,  40,  90,  11,  25,  71,   5,  10,  59,  10,  38,  87,   7,  31,  82,  10,  26,  69,   4,   7,  47,   5,   9,  43,   4,   7,  37,   5,  11,  40,   5,   5,  31,  10,  25,  62,  11,  31,  72,   8,  33,  86,   9,  47, 104,   9,  44, 102,  11,  41,  87,  10,  15,  43,   3,   3,  33,   6,  23,  64,
    13,  52, 107,   5,  26,  79,  12,  48, 100,   8,  46,  98,   7,  36,  86,   4,  12,  56,   8,  29,  67,   3,   6,  38,   3,  10,  43,   7,  42,  97,  20,  85, 149,  10,  66, 128,  13,  61, 122,   3,  34,  92,   4,  23,  78,   3,  16,  66,   4,  13,  52,   3,   2,  25,   3,   5,  20,   2,   3,  16,   2,   5,  33,
     3,   9,  48,   3,  21,  67,   3,  22,  75,   6,  39,  91,   4,  20,  70,   5,  16,  61,   3,  11,  54,   5,  12,  52,   2,   6,  39,   3,   4,  28,   3,   5,  23,   2,   4,  19,   1,   1,  11,   2,   3,  19,   2,   3,  16,   1,   2,   5,   1,   2,  12,   2,   7,  22,   4,   7,  31,   2,   6,  33,   3,  12,  43,
     3,   5,  35,   4,  29,  99,   4,  30,  97,   7,  29,  94,   9,  26,  86,  10,  20,  69,  12,  18,  62,  16,  17,  60,  17,  17,  58,  21,  18,  58,  28,  21,  60,  28,  17,  59,  34,  13,  56,  37,  11,  54,  36,   8,  50,  35,   7,  47,  34,   8,  46,  33,   8,  45,  32,   9,  46,  29,   7,  44,  27,   7,  41,
    26,   6,  39,  25,   6,  37,  28,   5,  38,  29,   5,  37,  34,   8,  41,  42,  11,  43,  48,  14,  39,  53,  16,  37,  53,  15,  31,  49,  12,  27,  46,   9,  25,  37,   7,  23,  36,   7,  33,  31,   6,  41,  30,   7,  44,  33,  12,  51,  34,  15,  55,  36,  17,  60,  35,  18,  63,  38,  24,  69,  37,  28,  72,
    38,  29,  74,  40,  33,  78,  41,  35,  79,  42,  35,  80,  43,  37,  80,  40,  35,  78,  40,  38,  79,  38,  37,  77,  37,  37,  76,  34,  33,  74,  28,  31,  73,  25,  30,  75,  26,  32,  77,  25,  33,  80,  23,  33,  80,  24,  34,  81,  23,  34,  82,  25,  37,  85,  23,  36,  85,  25,  37,  86,  27,  40,  90,
    27,  41,  91,  27,  40,  92,  30,  43,  93,  30,  42,  95,  30,  41,  95,  32,  44,  98,  32,  43,  99,  34,  47, 102,  34,  45, 103,  36,  49, 106,  38,  52, 113,  37,  54, 116,  38,  56, 120,  37,  57, 122,  40,  59, 124,  41,  58, 125,  41,  59, 124,  43,  60, 127,  43,  61, 127,  43,  60, 126,  44,  61, 126,
    46,  61, 125,  50,  64, 127,  57,  67, 130,  59,  67, 130,  61,  71, 132,  67,  71, 133,  72,  75, 138,  75,  77, 138,  81,  81, 141,  81,  81, 142,  80,  79, 143,  83,  82, 144,  79,  79, 141,  74,  75, 135,  67,  68, 126,  59,  61, 116,  49,  51, 100,  42,  40,  83,  37,  24,  65,  31,  11,  47,  25,   6,  33,
    18,   2,  21,  12,   2,  12,   8,   2,   8,   8,   1,   7,   9,   2,   8,   9,   2,   8,  14,   2,   9,  30,   4,  14,  44,   9,  18,  64,  17,  27,  77,  23,  33,  88,  29,  39, 101,  39,  49, 107,  46,  58, 107,  46,  61, 108,  49,  66, 105,  48,  69, 104,  49,  72, 101,  46,  71, 100,  45,  69,  98,  45,  68,
    99,  47,  68, 102,  49,  73, 102,  53,  84,  92,  83, 136,  74, 105, 175,  12,  28,  74,   5,  23,  66,  14,  67, 128,   5,  37,  89,  12,  76, 139,   6,  55, 116,   9,  62, 124,   7,  69, 128,   5,  42,  95,   8,  56, 114,   8,  58, 119,   8,  45, 104,  36, 119, 197,  21,  96, 169,   5,  63, 130,  18,  90, 162,
    24, 104, 181,   8,  64, 128,   5,  38,  89,   4,   6,  27,   3,   9,  39,   6,  26,  74,   4,  19,  65,   5,  23,  68,   5,   7,  32,   2,   3,  10,   1,   3,  14,   3,   4,  11,   3,   4,  22,   5,  11,  40,   5,  16,  52,   6,  25,  67,   7,  42,  91,  10,  33,  80,   9,  22,  62,   3,   8,  42,   4,  10,  46,
     5,   9,  44,   4,   8,  46,   5,  19,  61,   5,  14,  59,   3,   8,  49,   2,   8,  48,   5,  10,  46,   9,  29,  72,   4,  12,  60,   5,  17,  65,   6,  36,  92,  17,  73, 133,  12,  63, 125,  20,  77, 137,  10,  43,  96,  10,  35,  86,  11,  34,  84,  17,  54, 105,  12,  43,  94,   5,  14,  57,   5,  12,  59,
    13,  41,  90,   7,  23,  75,   7,  26,  73,   6,  17,  58,   4,   9,  44,  10,  21,  56,   7,  13,  42,   4,   8,  36,   6,  11,  41,   7,  14,  47,  12,  36,  89,  13,  55, 113,   7,  45, 104,  10,  38,  90,   5,  10,  41,   4,   8,  40,   3,  11,  50,   7,  17,  63,   5,  19,  69,   4,  29,  82,   7,  35,  86,
     8,  39,  88,   5,  22,  68,   8,  28,  69,   6,  15,  51,   6,  24,  67,   9,  49, 106,  19,  81, 143,   8,  52, 114,   5,  34,  93,   6,  51, 109,   3,  26,  80,   4,  13,  61,   3,  10,  49,   2,   1,  27,   2,   1,  15,   1,   2,  13,   2,   3,  26,   3,   8,  46,   3,  13,  57,   3,  22,  74,   5,  25,  76,
     5,  31,  79,   4,  26,  74,   3,   7,  54,   5,  15,  57,   5,  20,  56,   3,   3,  28,   1,   2,  13,   1,   1,  11,   1,   3,  16,   3,   6,  25,   2,   4,  17,   1,   2,   9,   1,   2,   9,   1,   1,   9,   2,   3,  22,   3,   5,  30,   4,   9,  38,   3,   8,  37,   8,  32, 102,  10,  33, 102,  14,  34, 102,
    15,  33, 100,  16,  28,  83,  20,  22,  67,  20,  19,  61,  20,  17,  58,  22,  16,  57,  24,  15,  56,  30,  14,  57,  33,  11,  53,  33,   6,  47,  32,   6,  42,  32,   6,  40,  33,   5,  40,  29,   6,  37,  26,   3,  33,  20,   4,  29,  21,   5,  29,  23,   5,  31,  24,   6,  34,  25,   6,  35,  29,   6,  37,
    33,   8,  38,  39,   9,  38,  45,  12,  38,  51,  17,  36,  53,  15,  33,  53,  15,  31,  50,  12,  30,  45,  10,  34,  38,   7,  42,  34,   9,  47,  32,  12,  50,  36,  17,  58,  36,  18,  61,  36,  21,  65,  37,  27,  71,  36,  29,  73,  37,  32,  77,  37,  35,  78,  41,  39,  80,  39,  37,  79,  41,  38,  79,
    38,  35,  79,  38,  34,  77,  35,  35,  75,  34,  33,  73,  33,  33,  74,  32,  32,  73,  30,  32,  73,  28,  31,  75,  26,  31,  76,  25,  32,  77,  28,  33,  81,  28,  34,  82,  32,  37,  86,  29,  37,  86,  29,  38,  87,  28,  39,  87,  30,  39,  89,  31,  40,  91,  32,  41,  93,  34,  43,  96,  32,  43,  97,
    36,  45, 100,  35,  45, 102,  36,  47, 104,  36,  47, 106,  38,  50, 108,  37,  52, 112,  38,  54, 118,  39,  57, 120,  39,  58, 123,  39,  58, 125,  40,  58, 124,  41,  58, 123,  39,  57, 121,  41,  57, 121,  42,  58, 122,  43,  57, 122,  46,  59, 123,  50,  60, 123,  55,  64, 126,  60,  67, 129,  64,  68, 129,
    69,  72, 132,  76,  76, 135,  78,  78, 138,  80,  79, 139,  83,  81, 140,  79,  78, 138,  80,  79, 139,  76,  76, 136,  76,  76, 135,  67,  68, 125,  59,  62, 115,  49,  54, 104,  39,  42,  88,  32,  31,  69,  26,  15,  50,  22,   5,  32,  16,   3,  21,  16,   2,  14,  11,   2,  10,   8,   2,   7,   8,   3,   5,
     9,   2,   7,   8,   2,   7,  15,   2,   8,  31,   4,  13,  48,   9,  17,  64,  15,  25,  79,  22,  33,  94,  31,  43, 104,  38,  50, 111,  45,  58, 114,  48,  61, 115,  50,  63, 113,  49,  65, 111,  50,  68, 109,  47,  65, 109,  48,  62, 109,  49,  64, 106,  48,  61, 108,  48,  64, 111,  53,  76, 104,  58, 102,
    83,  82, 142,  24,  38,  85,   3,  13,  55,  10,  45, 101,   5,  33,  82,   8,  60, 118,  16,  82, 146,  23,  89, 157,   6,  49, 101,   4,   6,  39,   8,  38,  89,   9,  55, 108,   9,  40,  96,  33, 116, 191,  17,  92, 161,   6,  51, 110,  11,  78, 146,  25, 107, 183,  11,  87, 155,   3,  35,  82,   2,   0,   8,
     5,  13,  41,   7,  46,  98,   5,  22,  62,   5,  31,  77,   4,  22,  64,   3,  14,  44,   6,  24,  58,   6,  25,  59,   5,  17,  52,   4,  24,  62,   7,  34,  81,   8,  33,  80,   9,  35,  83,  19,  63, 118,   8,  34,  82,   7,  20,  58,   4,   5,  33,   3,   7,  37,   4,   8,  44,   6,  15,  52,   7,  20,  61,
     4,  14,  55,   4,  13,  52,   4,  15,  52,   8,  36,  83,   4,  25,  71,   8,  33,  79,   6,  29,  78,  14,  46, 100,  10,  46, 104,   9,  53, 111,   9,  44,  99,   6,  40,  94,   7,  22,  69,  12,  38,  86,   4,  17,  63,   3,   7,  48,   7,  28,  76,  13,  43,  92,   7,  28,  77,   9,  26,  69,  11,  33,  74,
     5,  18,  58,   4,   6,  41,   5,  10,  41,   5,   6,  34,   5,  12,  41,  13,  35,  77,   8,  34,  86,  10,  55, 113,  18,  63, 122,   8,  40,  94,   8,  18,  56,   6,   9,  39,   8,  20,  57,  13,  32,  76,   6,  32,  78,   6,  26,  75,  10,  47,  96,   6,  39,  91,   6,  30,  77,   4,  15,  56,   3,   4,  36,
     5,  22,  61,   8,  53, 111,   7,  56, 116,   8,  48, 107,   4,  37,  96,   9,  58, 114,   4,  26,  80,   4,  12,  58,   5,  18,  60,   3,   5,  37,   3,   4,  23,   2,   2,  16,   2,   3,  24,   3,  14,  52,   6,  36,  82,   3,  20,  69,   5,  25,  76,   7,  33,  81,   4,  26,  76,   3,  16,  66,   4,  17,  65,
     3,  16,  54,   3,   9,  37,   2,   2,  18,   2,   3,  17,   1,   3,  18,   2,   6,  27,   2,   4,  20,   1,   1,   5,   1,   1,   6,   0,   3,  12,   2,   4,  22,   3,   2,  20,   2,   3,  22,   2,   4,  25,  19,  38, 107,  21,  38, 108,  24,  41, 108,  23,  37, 103,  23,  30,  86,  23,  23,  64,  20,  20,  60,
    23,  19,  58,  23,  14,  54,  23,  13,  51,  26,   8,  45,  27,   4,  40,  28,   4,  36,  27,   4,  32,  25,   3,  28,  23,   2,  25,  21,   2,  23,  22,   3,  26,  21,   4,  28,  22,   5,  31,  24,   5,  32,  25,   7,  34,  25,   5,  34,  29,   7,  36,  33,   7,  41,  39,  10,  42,  44,  13,  42,  48,  15,  40,
    53,  18,  39,  52,  15,  36,  51,  14,  39,  46,  11,  44,  41,  10,  49,  36,  13,  54,  34,  17,  57,  35,  20,  62,  36,  22,  65,  37,  27,  70,  39,  31,  75,  37,  34,  77,  37,  34,  78,  37,  37,  78,  38,  37,  79,  36,  35,  77,  33,  31,  74,  33,  33,  74,  32,  29,  71,  32,  32,  72,  32,  31,  71,
    31,  30,  72,  30,  31,  73,  29,  31,  75,  29,  33,  79,  28,  34,  80,  31,  36,  83,  31,  36,  84,  32,  37,  84,  33,  39,  87,  35,  40,  89,  33,  40,  89,  32,  42,  92,  32,  42,  92,  32,  42,  94,  33,  43,  97,  35,  45, 100,  33,  43, 101,  36,  45, 102,  36,  46, 103,  35,  47, 105,  36,  47, 108,
    39,  50, 113,  38,  53, 115,  37,  54, 117,  37,  55, 119,  39,  56, 119,  37,  55, 119,  38,  55, 119,  39,  54, 118,  40,  54, 119,  42,  55, 116,  45,  56, 117,  48,  57, 120,  53,  60, 121,  59,  62, 123,  65,  67, 126,  69,  69, 128,  75,  72, 131,  78,  74, 134,  80,  76, 135,  83,  78, 137,  82,  78, 137,
    82,  77, 136,  78,  76, 134,  78,  75, 133,  73,  72, 129,  66,  68, 124,  58,  62, 116,  49,  54, 104,  39,  44,  90,  31,  35,  75,  23,  24,  56,  18,  10,  39,  14,   4,  24,  13,   3,  16,   9,   2,   9,   9,   2,   5,   7,   2,   4,   7,   1,   3,   8,   2,   5,   9,   2,   5,  20,   2,   7,  34,   3,  12,
    50,   8,  15,  68,  15,  22,  80,  20,  30,  94,  28,  39, 105,  36,  47, 111,  40,  52, 115,  45,  56, 116,  46,  58, 116,  46,  59, 116,  48,  60, 116,  47,  60, 115,  46,  58, 113,  46,  57, 110,  43,  56, 112,  45,  58, 107,  47,  67, 104,  56, 100,  79,  62, 113,  42,  52,  99,   2,  19,  62,   8,  31,  81,
     7,  26,  75,   8,  48, 103,  15,  76, 139,  23,  83, 148,   4,  25,  68,   6,  22,  60,   7,  50, 105,   6,  25,  71,   8,  37,  89,  22, 108, 179,  23, 103, 175,   6,  51, 111,  12,  82, 150,  14,  94, 166,   7,  75, 141,   7,  37,  81,   4,   1,  11,   4,   8,  27,   6,  44,  97,   6,  18,  60,   6,  25,  67,
     4,  35,  86,   5,  32,  83,  10,  51, 103,   7,  45,  97,   4,  24,  72,   5,  28,  73,   5,  32,  81,   5,  22,  71,   5,  14,  60,   3,   6,  54,   8,  25,  72,   6,  31,  74,   6,  22,  64,   7,  39,  86,   6,  34,  81,   6,  26,  72,   8,  45,  95,   7,  35,  86,   6,  17,  60,   4,   6,  42,   3,   7,  43,
     4,  18,  57,   6,  28,  70,   5,  14,  49,   2,   4,  36,   3,  11,  54,   7,  34,  86,   7,  33,  86,   9,  34,  86,   4,  13,  56,   8,  17,  57,   8,  24,  65,   5,  11,  53,   6,  22,  72,   6,  25,  74,   7,  26,  71,   9,  22,  63,   5,  16,  58,   9,  33,  74,   7,  19,  55,   3,   5,  36,   4,   6,  36,
     4,   6,  32,   3,  14,  50,   8,  45,  98,  10,  63, 122,  13,  52, 107,  11,  59, 113,   7,  27,  67,   7,  16,  50,   7,  18,  49,   4,  15,  55,   7,  30,  74,   5,  25,  69,   5,  18,  63,   6,  30,  76,   6,  29,  75,   3,   9,  48,   4,   6,  37,   8,  26,  63,   7,  48, 106,   8,  60, 116,   7,  47, 104,
     8,  49, 106,   7,  53, 109,   5,  36,  89,   3,  12,  62,   4,  14,  60,   4,  10,  47,   3,   8,  34,   1,   1,  14,   3,   3,  28,   4,  15,  52,   5,  27,  74,   3,  15,  64,   3,  18,  67,   3,  15,  61,   4,  20,  66,   5,  31,  81,   4,  29,  78,   4,  10,  50,   2,   4,  31,   3,   3,  16,   2,   2,  10,
     2,   2,  19,   2,   2,  22,   3,   3,  23,   2,   2,  10,   1,   2,   5,   1,   2,   8,   2,   4,  19,   2,   2,  16,   1,   2,  11,   2,   2,  21,  25,  40, 110,  22,  39, 110,  23,  39, 109,  23,  37, 104,  24,  30,  83,  22,  20,  59,  20,  15,  53,  20,  11,  47,  21,   9,  41,  24,   7,  35,  22,   2,  28,
    24,   4,  27,  23,   2,  25,  22,   2,  22,  19,   2,  19,  21,   2,  23,  22,   3,  25,  23,   2,  28,  21,   4,  29,  23,   5,  32,  24,   5,  35,  24,   7,  38,  26,   6,  39,  31,   8,  41,  35,  11,  45,  39,  12,  46,  45,  15,  50,  49,  17,  48,  50,  16,  46,  51,  16,  48,  48,  13,  48,  45,  14,  54,
    38,  11,  54,  35,  16,  58,  33,  19,  61,  34,  24,  65,  37,  26,  69,  37,  27,  71,  39,  31,  75,  35,  33,  73,  35,  34,  75,  32,  31,  72,  31,  30,  71,  31,  30,  70,  31,  29,  70,  32,  30,  71,  29,  27,  69,  31,  30,  72,  31,  30,  72,  33,  33,  74,  30,  31,  76,  30,  32,  77,  30,  35,  80,
    28,  33,  80,  30,  35,  83,  32,  37,  85,  34,  38,  88,  34,  39,  88,  34,  39,  88,  32,  39,  89,  32,  41,  93,  32,  41,  94,  31,  44,  96,  33,  45,  98,  33,  44, 101,  33,  46, 103,  35,  46, 103,  34,  46, 105,  38,  49, 108,  37,  48, 109,  37,  49, 112,  37,  52, 114,  37,  52, 115,  35,  52, 115,
    36,  52, 115,  37,  53, 115,  38,  52, 115,  39,  52, 113,  41,  52, 113,  45,  54, 113,  49,  56, 115,  54,  58, 117,  60,  61, 119,  63,  61, 120,  69,  66, 123,  75,  70, 128,  78,  71, 131,  81,  72, 133,  83,  75, 135,  83,  76, 134,  81,  74, 133,  79,  73, 129,  73,  69, 123,  71,  68, 122,  62,  63, 116,
    55,  59, 109,  48,  53, 102,  38,  44,  90,  30,  37,  78,  23,  28,  64,  15,  17,  47,  12,   8,  32,  12,   4,  22,  10,   3,  12,   9,   2,   8,   7,   2,   6,   7,   2,   4,   7,   2,   3,   8,   2,   4,  15,   3,   5,  26,   2,   7,  42,   5,  11,  59,  10,  13,  74,  16,  16,  90,  24,  25,  99,  27,  31,
   108,  35,  38, 113,  36,  44, 116,  40,  50, 117,  41,  52, 118,  43,  56, 119,  45,  56, 115,  42,  53, 116,  41,  52, 114,  42,  52, 110,  41,  55, 110,  47,  65, 108,  59,  92,  96,  61, 112,  64,  55, 101,  27,  41,  87,   7,  17,  63,   4,  11,  55,   5,  26,  74,   5,  23,  73,   8,  38,  91,   6,  38,  93,
     7,  31,  80,  10,  62, 120,  11,  62, 118,   8,  29,  74,  10,  54, 106,  10,  76, 139,  17,  95, 164,   6,  35,  88,   9,  70, 135,  20, 102, 171,   7,  66, 126,   5,  36,  77,   2,   0,   4,   3,  10,  30,   6,  51, 107,   5,  29,  74,   4,   4,  31,   5,  33,  82,   5,  32,  82,   6,  22,  64,   6,  40,  86,
     5,  37,  85,   8,  37,  81,   7,  37,  85,   7,  26,  75,   6,  23,  70,   7,  27,  75,  16,  50,  95,   8,  34,  80,   8,  29,  75,   7,  33,  81,   8,  53, 106,   7,  35,  86,   5,  26,  76,  10,  53, 107,   6,  38,  90,   6,  25,  73,   5,  14,  53,   3,   6,  36,   3,   5,  29,   5,   9,  36,   4,   6,  37,
     3,   5,  37,   5,  14,  60,   9,  40,  92,  14,  49, 103,   6,  21,  63,   2,   7,  49,   4,   8,  48,   6,  16,  62,   9,  39,  91,  12,  47, 100,   7,  22,  65,   4,  10,  47,   3,  12,  48,   7,  24,  65,  10,  30,  68,   4,  11,  41,   4,  11,  40,   3,   3,  21,   6,  14,  42,   9,  47,  94,   6,  61, 119,
     3,  28,  82,   4,  40,  94,   7,  39,  87,   4,  11,  42,   4,  12,  43,   8,  22,  62,   5,  20,  61,   7,  20,  57,   4,  23,  66,   6,  21,  63,   4,  22,  67,   3,   6,  40,   4,   7,  40,   3,  10,  46,   6,  47, 103,  10,  63, 120,   4,  38,  96,   8,  42, 100,  10,  63, 119,  10,  51, 106,   4,  14,  65,
     4,  18,  66,   4,  15,  55,   3,  10,  40,   2,   1,  18,   2,   3,  25,   3,   9,  46,   4,  15,  61,   3,  16,  65,   3,  10,  56,   4,  14,  58,   3,  16,  64,   5,  33,  82,   7,  32,  79,   4,  18,  60,   2,   2,  30,   2,   4,  21,   3,   2,  15,   5,   9,  33,   2,   5,  31,   3,   7,  31,   3,   4,  17,
     1,   1,   4,   1,   2,   7,   2,   4,  16,   1,   2,  14,   1,   3,  17,   2,   4,  26,  25,  38, 106,  27,  41, 109,  24,  37, 104,  21,  32,  92,  21,  19,  60,  22,   9,  39,  21,   6,  30,  22,   3,  23,  21,   1,  20,  20,   1,  17,  20,   2,  17,  20,   2,  18,  19,   2,  16,  19,   1,  17,  20,   2,  20,
    24,   4,  26,  22,   3,  28,  22,   6,  31,  23,   6,  32,  24,   6,  36,  26,   8,  41,  28,   8,  42,  30,  10,  46,  33,  12,  47,  37,  15,  49,  40,  16,  51,  45,  16,  53,  48,  17,  52,  50,  17,  53,  50,  18,  56,  48,  15,  57,  42,  14,  58,  37,  15,  57,  34,  17,  61,  34,  21,  63,  36,  24,  66,
    36,  26,  68,  36,  26,  70,  36,  27,  71,  33,  28,  68,  32,  30,  67,  31,  29,  68,  29,  27,  67,  30,  29,  68,  30,  27,  67,  30,  28,  69,  30,  28,  70,  30,  29,  70,  31,  30,  72,  31,  30,  73,  32,  33,  77,  31,  33,  77,  31,  34,  80,  30,  35,  81,  32,  36,  83,  31,  35,  85,  32,  37,  87,
    34,  38,  87,  32,  37,  87,  34,  39,  89,  34,  41,  91,  34,  42,  93,  33,  44,  95,  33,  45,  97,  34,  46, 100,  33,  45, 102,  34,  45, 102,  36,  47, 105,  36,  48, 106,  35,  46, 106,  37,  48, 108,  35,  48, 110,  37,  48, 110,  37,  49, 110,  37,  49, 109,  39,  50, 110,  39,  49, 109,  42,  51, 110,
    47,  53, 111,  50,  53, 111,  55,  55, 114,  61,  60, 116,  67,  61, 117,  71,  63, 121,  76,  68, 126,  80,  68, 129,  82,  69, 130,  84,  70, 131,  84,  69, 130,  80,  68, 126,  78,  68, 127,  73,  66, 122,  66,  62, 114,  61,  59, 109,  53,  55, 104,  45,  49,  96,  38,  43,  88,  29,  36,  77,  22,  29,  66,
    16,  21,  53,  12,  14,  40,  10,   6,  27,  10,   3,  18,   9,   2,   9,   9,   2,   7,   6,   2,   3,   7,   2,   3,   7,   1,   3,  10,   2,   4,  19,   2,   5,  32,   2,   9,  52,   6,  12,  68,  11,  11,  81,  15,  11,  94,  22,  16, 106,  28,  24, 111,  32,  28, 119,  36,  35, 119,  39,  39, 118,  37,  39,
   120,  39,  44, 120,  39,  46, 118,  38,  43, 117,  42,  51, 113,  45,  57, 110,  57,  88, 107,  66, 111,  94,  76, 125,  82,  63, 110,  51,  57,  99,  32,  48,  96,  19,  42,  92,  16,  43,  91,  17,  43,  91,   7,  28,  77,   4,  19,  69,   8,  28,  77,   6,  24,  72,   5,  36,  86,   6,  31,  79,   8,  26,  66,
     7,  18,  58,   7,  26,  71,  10,  67, 125,   6,  26,  73,  10,  59, 118,   7,  81, 145,   6,  63, 121,   5,  25,  62,   2,   1,   6,   4,  19,  54,   5,  47, 103,   5,  56, 110,   5,  10,  39,   7,  27,  61,   5,  45,  96,   5,  37,  86,   5,  10,  46,   6,  12,  35,   3,   4,  24,   6,  18,  55,   5,  28,  70,
     4,  28,  74,   6,  26,  72,   5,  17,  60,   6,  17,  58,   8,  30,  74,   9,  33,  75,   8,  47,  94,   6,  39,  83,   6,  23,  66,   8,  49,  98,   9,  44,  96,   6,  29,  80,   5,  35,  86,   9,  35,  83,   5,  21,  61,   2,  13,  47,   4,   4,  29,   3,   3,  30,   2,  17,  59,   5,  26,  77,   6,  31,  84,
     6,  24,  73,   8,  21,  66,   7,  25,  72,   7,  31,  78,   7,  35,  85,   8,  41,  93,   9,  35,  77,   3,   5,  33,   3,   3,  27,   4,   9,  39,   5,  13,  47,   3,   3,  28,   3,   4,  26,   2,   3,  20,   4,   3,  16,   4,  12,  40,   8,  52, 106,   9,  53, 107,   7,  51, 106,   6,  42,  92,   6,  14,  48,
     5,   8,  39,   4,   7,  45,   5,  15,  53,   5,   8,  40,   6,  22,  65,   5,  19,  59,   4,  19,  62,   5,  12,  48,   4,   7,  41,   4,  16,  53,   7,  47, 102,   6,  48, 105,   6,  57, 113,   6,  38,  96,   7,  59, 114,   4,  41,  96,   4,  23,  73,   3,  15,  61,   2,   8,  46,   2,   5,  32,   2,   2,  21,
     2,   4,  26,   3,  15,  52,   5,  42,  91,   4,  32,  77,   4,  16,  59,   5,  17,  61,   4,  28,  75,   4,  31,  79,   4,  25,  72,   4,  22,  64,   2,   4,  35,   4,   6,  28,   2,   4,  24,   4,  15,  44,   3,   9,  35,   3,  13,  41,   2,   2,  16,   1,   2,   5,   1,   2,   5,   1,   2,  11,   2,   3,  15,
     2,   5,  24,   3,  13,  40,  24,  22,  66,  23,  25,  71,  26,  21,  63,  22,  13,  40,  23,   5,  21,  21,   2,  18,  19,   2,  15,  17,   2,  13,  17,   1,  12,  17,   1,  12,  19,   2,  14,  17,   1,  14,  17,   2,  15,  19,   2,  18,  22,   2,  24,  22,   2,  26,  22,   4,  30,  23,   7,  36,  26,   8,  41,
    27,   9,  44,  30,  12,  48,  31,  12,  49,  33,  15,  51,  35,  15,  51,  37,  16,  54,  39,  17,  54,  41,  14,  54,  41,  14,  53,  45,  16,  54,  44,  17,  58,  41,  15,  59,  38,  17,  59,  36,  17,  59,  35,  18,  62,  36,  21,  65,  35,  22,  64,  32,  22,  64,  32,  24,  64,  33,  25,  65,  32,  23,  63,
    33,  27,  65,  30,  24,  63,  28,  24,  62,  28,  23,  63,  28,  24,  65,  30,  26,  68,  29,  26,  68,  29,  28,  68,  30,  28,  70,  31,  30,  72,  30,  31,  73,  29,  31,  74,  29,  31,  75,  28,  32,  77,  29,  33,  79,  29,  34,  81,  31,  36,  84,  31,  35,  84,  33,  37,  87,  32,  37,  87,  35,  39,  89,
    34,  39,  88,  32,  39,  90,  30,  41,  93,  32,  42,  96,  32,  42,  98,  34,  44,  98,  33,  43,  99,  35,  44, 102,  35,  45, 102,  35,  46, 104,  35,  46, 104,  34,  45, 103,  36,  46, 105,  37,  48, 106,  39,  47, 105,  43,  49, 107,  48,  51, 109,  52,  53, 109,  57,  56, 111,  61,  55, 112,  65,  58, 115,
    72,  62, 120,  75,  62, 121,  82,  65, 126,  84,  66, 128,  86,  65, 128,  86,  66, 127,  82,  64, 124,  77,  61, 120,  71,  57, 112,  62,  56, 106,  56,  54, 101,  50,  50,  95,  43,  44,  88,  36,  39,  81,  28,  32,  73,  20,  27,  64,  16,  21,  56,  13,  17,  47,  13,  12,  35,   9,   4,  22,   9,   2,  13,
     9,   2,   8,   8,   2,   5,   7,   2,   3,   7,   2,   3,   8,   1,   2,  16,   2,   4,  26,   2,   7,  42,   4,   9,  58,   8,   9,  76,  14,   8,  89,  18,   8, 100,  22,  12, 112,  30,  18, 116,  33,  20, 119,  34,  23, 121,  34,  27, 122,  37,  33, 122,  37,  34, 123,  41,  42, 117,  43,  51, 114,  59,  83,
   110,  76, 126,  97,  74, 131,  82,  53, 105,  53,  45,  91,  59,  60, 104,  40,  49,  95,  37,  55, 105,  28,  51, 101,  21,  46,  95,  22,  50, 100,  17,  46,  97,  13,  44,  93,   6,  32,  84,   5,  23,  71,   5,  13,  57,   5,  16,  56,   5,   9,  42,   5,   6,  36,   6,  17,  53,   3,  11,  49,   5,  15,  54,
     8,  49, 100,   8,  55, 109,   9,  58, 112,   5,  24,  60,   2,   1,   9,   4,  14,  45,   6,  46, 102,   7,  67, 126,   6,  23,  61,   3,   5,  21,   7,  34,  79,   7,  46,  99,   4,  35,  80,   5,  12,  36,   3,   5,  20,   2,   0,   8,   3,   6,  25,   6,  23,  66,   4,  24,  63,   6,  15,  51,   5,  11,  47,
     6,  17,  53,   7,  15,  43,   2,   3,  19,   3,   5,  27,   5,  22,  55,   2,   4,  26,   4,  19,  58,   8,  32,  79,   5,  33,  85,   6,  37,  89,  10,  49, 103,   7,  37,  86,   4,  21,  59,   4,   6,  34,   4,  12,  50,   5,  25,  69,   9,  40,  87,   8,  29,  77,   3,  17,  62,   6,  22,  68,   8,  33,  80,
    12,  42,  89,   6,  17,  59,   2,   6,  40,   2,   4,  25,   4,   5,  23,   5,   7,  31,   6,  17,  46,   4,   7,  30,   3,   4,  20,   3,   4,  13,   1,   1,   6,   4,   6,  25,   7,  24,  63,   8,  36,  88,   7,  51, 108,   6,  34,  81,   5,  10,  45,   4,   9,  44,   4,  15,  53,   5,  15,  52,   4,   8,  40,
     5,  16,  55,   4,  15,  55,   5,  21,  63,   3,  11,  50,   4,   9,  44,   3,  10,  47,   7,  45, 100,   6,  48, 103,   5,  53, 109,   9,  53, 109,   5,  29,  83,   4,  41,  97,   5,  39,  91,   4,  23,  70,   5,  20,  61,   2,   3,  32,   2,   2,  22,   3,   4,  26,   3,   8,  41,   4,  34,  81,   5,  33,  79,
     2,   6,  48,   3,   9,  51,   4,  30,  75,   4,  20,  65,   3,  15,  60,   3,   7,  46,   3,   9,  44,   3,   8,  37,   2,   2,  24,   3,   5,  36,   4,   9,  40,   3,   7,  35,   2,   2,  14,   1,   1,   4,   1,   1,   5,   2,   3,  13,   2,   3,  17,   2,   4,  22,   3,   8,  34,  25,   6,  26,  24,   3,  23,
    23,   4,  19,  22,   3,  18,  21,   4,  17,  20,   2,  15,  16,   1,  11,  15,   2,  10,  13,   2,   7,  14,   1,  12,  17,   1,  14,  17,   2,  15,  19,   2,  17,  20,   2,  23,  23,   2,  25,  22,   4,  30,  22,   6,  33,  23,   6,  37,  25,   8,  42,  28,  10,  44,  30,  12,  48,  32,  15,  51,  34,  17,  52,
    37,  16,  55,  36,  15,  53,  36,  13,  51,  41,  13,  53,  40,  14,  53,  41,  16,  54,  40,  17,  57,  36,  18,  57,  37,  18,  58,  34,  19,  59,  34,  18,  59,  32,  17,  59,  32,  17,  60,  31,  19,  59,  30,  21,  59,  29,  22,  59,  29,  21,  59,  30,  24,  59,  29,  22,  59,  29,  23,  60,  27,  21,  61,
    31,  25,  65,  29,  25,  66,  30,  24,  66,  30,  28,  68,  31,  29,  70,  30,  29,  70,  30,  29,  71,  31,  31,  73,  30,  31,  72,  31,  32,  73,  32,  33,  78,  30,  33,  79,  30,  33,  80,  30,  34,  83,  30,  34,  82,  33,  37,  85,  32,  37,  86,  33,  37,  86,  32,  37,  87,  33,  40,  89,  33,  40,  91,
    33,  41,  94,  34,  40,  95,  33,  41,  95,  34,  42,  97,  34,  42,  97,  36,  44, 100,  36,  44, 101,  34,  43, 101,  38,  44, 101,  41,  46, 103,  42,  46, 103,  46,  48, 104,  50,  52, 106,  56,  54, 108,  60,  54, 110,  67,  56, 115,  70,  56, 117,  75,  60, 120,  80,  61, 122,  81,  60, 121,  86,  61, 123,
    85,  60, 122,  83,  58, 119,  78,  55, 114,  70,  53, 108,  61,  49,  99,  52,  45,  90,  44,  43,  84,  37,  38,  77,  31,  33,  71,  24,  28,  64,  17,  23,  58,  14,  20,  53,  13,  18,  49,  12,  13,  40,  11,   8,  29,  11,   3,  19,  10,   2,  11,   9,   2,   8,   8,   2,   6,   7,   2,   4,   7,   2,   4,
    12,   1,   4,  20,   2,   4,  32,   2,   8,  50,   5,   9,  66,   8,   7,  82,  15,   6,  95,  20,   8, 106,  26,  11, 114,  30,  11, 120,  33,  16, 121,  32,  17, 122,  32,  21, 124,  38,  31, 122,  44,  45, 117,  62,  81, 106,  84, 133,  93,  72, 127,  85,  67, 123,  84,  73, 127,  55,  47,  97,  48,  50,  98,
    40,  45,  93,  29,  42,  93,  29,  48,  98,  17,  39,  90,  15,  40,  91,   7,  31,  85,  19,  50, 102,  10,  39,  90,   9,  38,  90,   7,  34,  83,   4,  31,  79,   4,  26,  71,   4,  11,  51,   3,   8,  36,   4,   6,  38,   2,   7,  39,   6,  11,  43,   5,   5,  31,   5,  17,  55,   5,  40,  87,   5,  19,  55,
     2,   1,  15,   5,  10,  34,   7,  49, 104,   7,  65, 124,   6,  39,  86,   4,   3,  20,   4,  13,  40,   8,  44,  92,   5,  48, 102,   5,  52, 105,   6,  34,  82,   3,   4,  19,   2,   3,  11,   2,   6,  21,   4,  13,  40,   9,  33,  73,   4,  14,  48,   3,   4,  32,   4,   4,  25,   1,   1,  12,   4,   4,  18,
     6,   9,  27,   2,   0,  10,   2,   1,  10,   4,   5,  27,   6,  19,  64,   5,  27,  77,   5,  28,  80,   7,  31,  82,   7,  33,  79,   5,  22,  60,   4,  10,  43,   3,   4,  32,   6,  12,  42,   9,  26,  67,   7,  21,  64,   8,  26,  67,   5,  18,  56,   5,  11,  48,   4,  16,  50,   3,   7,  38,   3,   4,  26,
     2,   1,  17,   2,   4,  20,   5,   9,  34,   2,   3,  21,   5,   8,  26,   3,   3,  11,   2,   1,   9,   4,   5,  22,   3,   8,  36,   6,  31,  81,   5,  47,  99,   6,  33,  81,   7,  18,  59,   5,  16,  53,   7,  24,  65,   4,  23,  64,   5,  14,  48,   3,   9,  44,   3,   7,  43,   5,  12,  53,   4,  17,  56,
     4,   8,  41,   4,  15,  52,   9,  53, 107,   6,  44,  99,   3,  28,  84,   5,  39,  92,   5,  33,  87,   7,  42,  96,  12,  48,  99,   9,  45,  93,   3,  17,  59,   4,  10,  38,   1,   1,  19,   3,   3,  26,   4,   9,  40,   5,  30,  74,   5,  29,  76,   5,  15,  56,   4,  15,  56,   5,  28,  71,   5,  21,  63,
     4,  24,  65,   4,   8,  46,   3,  13,  50,   3,   8,  43,   3,   5,  39,   3,   8,  39,   4,   7,  37,   4,   7,  35,   2,   3,  16,   0,   2,   8,   1,   1,   9,   0,   2,  10,   1,   1,  12,   2,   6,  27,   4,  10,  36,  23,   4,  22,  22,   4,  18,  19,   2,  15,  17,   2,  11,  17,   2,  11,  16,   2,   8,
    14,   2,   8,  16,   2,  10,  18,   1,  13,  20,   2,  18,  20,   2,  20,  20,   1,  23,  22,   3,  26,  22,   3,  26,  22,   4,  28,  23,   6,  33,  24,   6,  37,  23,   7,  40,  27,  10,  44,  27,  12,  43,  30,  14,  48,  31,  16,  50,  31,  14,  49,  34,  14,  52,  33,  13,  49,  35,  12,  50,  36,  14,  50,
    37,  14,  52,  36,  14,  51,  33,  14,  52,  33,  15,  53,  33,  17,  54,  31,  16,  53,  34,  17,  55,  33,  17,  56,  32,  16,  55,  29,  18,  56,  28,  19,  57,  28,  21,  57,  28,  21,  57,  29,  23,  58,  28,  21,  57,  28,  23,  58,  29,  22,  60,  30,  23,  63,  29,  24,  65,  33,  26,  67,  30,  26,  66,
    29,  28,  67,  31,  29,  68,  30,  29,  69,  29,  28,  70,  30,  30,  71,  30,  30,  71,  30,  32,  76,  27,  30,  75,  28,  31,  77,  30,  34,  80,  29,  33,  80,  31,  34,  82,  31,  35,  84,  33,  37,  85,  31,  36,  85,  32,  37,  86,  33,  39,  88,  33,  39,  88,  34,  40,  91,  34,  41,  91,  35,  41,  93,
    35,  41,  94,  35,  41,  95,  35,  41,  97,  39,  44,  98,  40,  45,  98,  43,  47, 101,  47,  49, 101,  49,  50, 104,  54,  53, 106,  59,  53, 108,  63,  54, 111,  71,  56, 114,  75,  57, 117,  80,  58, 121,  85,  60, 120,  85,  58, 119,  82,  55, 118,  78,  51, 113,  76,  49, 109,  70,  47, 101,  61,  43,  91,
    51,  39,  84,  43,  38,  75,  33,  32,  66,  27,  29,  63,  23,  25,  58,  18,  21,  54,  14,  17,  50,  11,  15,  44,  12,  14,  41,  11,   8,  32,   9,   5,  24,  10,   3,  14,  10,   2,  11,   8,   2,   7,   9,   2,   6,   8,   1,   4,   8,   1,   2,  14,   2,   4,  23,   2,   6,  38,   2,   7,  53,   5,   7,
    71,  10,   6,  85,  16,   4,  99,  21,   7, 109,  26,   9, 117,  31,  12, 120,  31,  14, 122,  36,  25, 123,  44,  41, 116,  61,  74, 103,  87, 130,  95, 102, 159,  74,  75, 126,  67,  60, 112,  65,  65, 115,  57,  59, 111,  57,  64, 115,  44,  54, 108,  49,  67, 122,  36,  55, 109,  36,  58, 112,  28,  50, 104,
    35,  65, 123,  21,  54, 112,  16,  51, 107,  11,  45, 100,  14,  44,  96,   4,  34,  86,   3,  27,  78,   4,  28,  78,   3,  24,  72,   6,  29,  75,   4,  20,  63,   4,  11,  46,   3,   8,  41,   3,   5,  33,   4,   7,  37,   3,   5,  29,   4,  12,  39,   2,   2,  15,   4,   7,  26,   6,  38,  88,   8,  67, 126,
     6,  54, 110,   4,  20,  53,   4,   1,  16,   4,  11,  36,   6,  26,  69,   4,  41,  93,   6,  43,  97,   5,  30,  75,   4,   8,  30,   1,   1,   0,   1,   2,   8,   4,  10,  33,   8,  22,  58,   7,  24,  60,   5,  11,  41,   2,   3,  18,   4,   6,  23,   2,   1,  14,   2,   3,  17,   1,   2,  11,   2,   0,   9,
     2,   2,  18,   5,  12,  48,   3,  19,  64,   4,  30,  80,   6,  30,  80,   6,  24,  67,   7,  21,  58,   3,   2,  22,   2,   2,  16,   6,  12,  38,   9,  18,  51,   5,  13,  44,   4,   5,  28,   5,  10,  39,   7,  20,  52,   5,   9,  37,   4,   5,  22,   3,   3,  19,   2,   4,  13,   5,   9,  29,   3,   3,  17,
     2,   2,  16,   2,   2,   9,   1,   2,   6,   4,   4,  15,   5,  11,  35,   5,  27,  70,   7,  42,  93,   5,  22,  68,   7,  21,  61,   3,   7,  37,   4,  18,  62,   5,  21,  63,   5,   8,  47,   4,  10,  49,   2,  13,  47,   4,  13,  54,   5,  17,  58,   4,  11,  45,   5,  19,  53,   6,  44,  95,   8,  47, 100,
     5,  35,  87,   5,  36,  87,   7,  52, 106,   5,  33,  85,   4,  16,  67,   5,  24,  71,   5,  17,  56,   2,   2,  25,   2,   3,  19,   2,   3,  20,   4,   6,  33,   3,  10,  45,   4,  26,  70,   7,  33,  75,   7,  28,  68,   3,  22,  64,   3,   6,  45,   4,  13,  55,   3,   6,  44,   3,   9,  48,   3,   9,  47,
     3,   5,  39,   3,  11,  43,   3,  11,  44,   4,   9,  39,   3,   3,  26,   2,   2,  16,   0,   1,  13,   2,   3,  13,   2,   2,  17,   2,   7,  28,   3,  13,  42,  18,   2,  13,  15,   2,  11,  14,   2,   8,  12,   2,   6,  13,   2,   7,  14,   2,  10,  16,   2,  11,  17,   2,  16,  19,   2,  21,  20,   2,  25,
    21,   3,  27,  20,   5,  27,  19,   4,  28,  21,   5,  30,  22,   6,  34,  22,   6,  35,  24,   7,  40,  25,  10,  42,  26,  12,  43,  27,  14,  46,  29,  15,  47,  27,  13,  46,  28,  12,  45,  30,  12,  46,  30,  11,  47,  31,  12,  46,  30,  10,  45,  30,  11,  45,  31,  12,  47,  29,  13,  48,  28,  13,  47,
    29,  15,  49,  29,  14,  48,  30,  16,  50,  30,  16,  50,  29,  16,  51,  26,  18,  53,  27,  20,  54,  27,  22,  56,  28,  22,  57,  28,  22,  57,  28,  22,  57,  29,  23,  59,  29,  25,  60,  27,  23,  60,  29,  24,  62,  32,  26,  65,  31,  26,  66,  31,  27,  66,  32,  29,  68,  30,  28,  69,  29,  27,  68,
    29,  29,  70,  29,  29,  70,  29,  32,  73,  29,  30,  74,  30,  32,  75,  29,  32,  79,  29,  32,  79,  31,  34,  81,  33,  36,  82,  30,  33,  82,  31,  34,  84,  34,  38,  86,  33,  37,  86,  34,  38,  87,  34,  39,  89,  34,  38,  89,  35,  41,  91,  35,  40,  91,  36,  41,  92,  38,  43,  95,  39,  44,  96,
    42,  44,  97,  44,  46,  98,  51,  50, 102,  53,  50, 102,  57,  51, 106,  63,  53, 110,  68,  54, 111,  74,  55, 114,  80,  57, 118,  81,  56, 117,  79,  53, 115,  78,  53, 113,  74,  48, 107,  68,  43,  98,  62,  40,  91,  58,  38,  85,  52,  34,  77,  42,  30,  70,  30,  25,  58,  25,  23,  53,  18,  18,  49,
    15,  16,  47,  11,  14,  44,   9,  12,  41,   8,  11,  38,  11,   9,  34,  10,   6,  28,  10,   3,  23,  12,   2,  16,  11,   2,  12,  10,   3,   8,   8,   2,   6,   8,   2,   4,  11,   1,   4,  15,   2,   4,  28,   2,   7,  41,   2,   8,  60,   8,   8,  75,  12,   6,  88,  18,   6, 101,  21,   7, 110,  25,  10,
   118,  33,  18, 121,  44,  35, 116,  62,  73, 110,  95, 137,  97, 103, 159,  68,  71, 126,  59,  67, 120,  55,  61, 116,  55,  59, 111,  55,  60, 114,  60,  68, 123,  53,  64, 119,  41,  55, 112,  45,  65, 122,  39,  60, 118,  33,  58, 115,  28,  56, 114,  22,  56, 117,  21,  59, 121,  12,  51, 111,  14,  55, 114,
     4,  38,  94,   5,  39,  94,   6,  36,  91,   5,  34,  88,   5,  36,  88,   5,  33,  84,   8,  33,  83,   4,  29,  76,   6,  28,  73,   3,  16,  53,   3,   9,  40,   5,  10,  36,   4,   4,  23,   3,   3,  20,   6,  11,  32,   5,  27,  67,   5,  48, 105,  10,  63, 120,   5,  38,  81,   2,   0,   7,   3,   4,  15,
     3,  12,  40,   5,  32,  78,   7,  44,  97,   5,  33,  81,   3,  14,  45,   2,   1,   2,   2,   1,   4,   3,   3,  13,   8,  19,  52,   5,  27,  69,   4,  18,  52,   4,   6,  31,   3,   6,  24,   2,   3,  17,   2,   2,  16,   1,   3,  10,   1,   1,   9,   1,   2,  10,   3,   7,  27,   4,  14,  49,   5,  26,  72,
     5,  34,  83,   6,  24,  67,   8,  35,  79,   3,   8,  35,   3,   4,  19,   3,   4,  22,   5,  11,  35,   3,   2,  24,   2,   2,  15,   3,   2,  19,   3,   3,  25,   3,   5,  27,   2,   2,  16,   3,   3,  16,   4,   7,  16,   2,   5,  17,   1,   1,   5,   1,   1,   6,   2,   2,  10,   2,   3,  12,   2,   4,  11,
     4,   7,  26,   5,  11,  41,   4,  19,  60,   7,  43,  94,   6,  31,  76,   4,   6,  35,   5,  27,  72,   3,  27,  71,   5,  17,  58,   4,  19,  63,   5,  24,  66,   3,  25,  67,   4,  20,  61,   3,  10,  46,   3,   8,  34,   6,  38,  85,   7,  61, 114,   4,  35,  86,   4,  17,  69,   4,  24,  74,   5,  25,  76,
     4,  32,  82,   5,  29,  74,   4,  19,  55,   2,   4,  24,   5,  10,  32,   3,   4,  23,   3,   6,  29,   5,  15,  47,   3,  17,  57,   4,  20,  58,   3,   4,  37,   3,   9,  47,   3,  10,  47,   4,  15,  54,   3,  13,  54,   3,  19,  61,   4,  19,  59,   3,  10,  47,   3,  10,  44,   3,  10,  42,   3,   8,  39,
     2,   5,  29,   2,   3,  23,   1,   2,  13,   2,   2,  15,   2,   3,  20,   2,   3,  19,   3,   6,  27,  12,   2,   9,  11,   2,   8,  10,   2,   8,  13,   2,   8,  15,   1,   9,  17,   2,  14,  19,   3,  19,  17,   2,  22,  18,   4,  26,  18,   5,  28,  19,   7,  30,  21,   8,  32,  23,   8,  35,  22,   8,  36,
    22,   8,  37,  23,   9,  38,  23,  11,  42,  24,  14,  44,  23,  15,  45,  22,  14,  45,  22,  13,  42,  24,  14,  44,  25,  12,  44,  27,  13,  44,  26,  12,  43,  27,   9,  43,  24,   8,  39,  24,   9,  40,  23,   8,  40,  25,  11,  42,  25,  12,  43,  25,  13,  45,  25,  14,  45,  25,  14,  46,  24,  15,  47,
    24,  16,  47,  24,  18,  51,  24,  20,  52,  24,  22,  53,  24,  21,  56,  24,  21,  56,  24,  23,  57,  25,  22,  57,  26,  25,  59,  24,  25,  59,  26,  25,  60,  28,  27,  63,  28,  26,  63,  28,  28,  65,  28,  27,  66,  27,  26,  66,  30,  28,  68,  29,  28,  69,  29,  29,  72,  24,  29,  72,  26,  30,  74,
    28,  32,  75,  28,  32,  76,  27,  31,  78,  28,  33,  81,  28,  33,  80,  30,  35,  81,  29,  34,  82,  30,  34,  83,  32,  36,  85,  31,  36,  85,  32,  36,  86,  31,  36,  87,  35,  39,  89,  36,  40,  90,  34,  40,  90,  40,  44,  95,  41,  44,  95,  45,  47,  98,  48,  48,  99,  53,  49, 101,  58,  53, 106,
    61,  52, 109,  68,  55, 111,  70,  55, 113,  76,  55, 115,  79,  54, 115,  76,  50, 109,  74,  49, 107,  68,  42,  99,  63,  41,  92,  57,  37,  83,  52,  33,  77,  44,  29,  69,  36,  24,  62,  29,  19,  52,  19,  15,  45,  16,  13,  42,  13,  12,  40,  11,  11,  39,   6,   9,  37,   9,   8,  36,   7,   7,  33,
     8,   7,  30,   9,   6,  26,  10,   3,  21,   9,   2,  13,  10,   2,  10,   9,   3,   7,   9,   3,   6,   8,   2,   4,  10,   1,   4,  17,   2,   4,  29,   2,   7,  44,   3,   8,  62,   7,   9,  76,  11,   5,  91,  17,   7, 103,  27,  18, 112,  43,  40, 117,  64,  77, 116, 101, 143, 104, 112, 165,  75,  76, 131,
    72,  75, 131,  58,  66, 122,  47,  58, 115,  52,  66, 123,  55,  69, 127,  48,  60, 118,  49,  64, 121,  47,  58, 116,  38,  55, 113,  35,  57, 116,  33,  60, 120,  32,  62, 122,  27,  61, 123,  22,  60, 121,  16,  57, 120,  13,  57, 120,  13,  60, 122,  12,  60, 120,   9,  50, 110,  10,  52, 114,   6,  40, 100,
     6,  38,  95,   6,  38,  93,   9,  38,  91,   7,  37,  87,   6,  31,  82,   5,  33,  85,   6,  33,  82,  10,  38,  84,   4,  14,  51,   5,  13,  36,   2,   4,  21,   5,   9,  36,   8,  33,  74,   3,  35,  80,   4,  17,  50,   3,   1,   7,   2,   2,   6,   3,   3,   8,   4,  10,  44,   5,  24,  73,   5,  26,  72,
     3,  14,  48,   2,   3,  12,   1,   2,   3,   2,   2,   8,   4,   9,  28,   6,  27,  67,   7,  32,  75,   5,  16,  51,   3,   5,  30,   1,   2,  13,   1,   1,  10,   0,   1,  10,   0,   2,   7,   0,   1,   8,   1,   2,  14,   4,   6,  27,   6,  17,  52,   8,  34,  79,   6,  22,  66,   5,  23,  69,   8,  26,  66,
     5,  12,  39,   5,   5,  27,   3,   3,  25,   3,   4,  27,   2,   2,  16,   3,   2,  20,   3,   5,  21,   3,   7,  30,   2,   2,  12,   2,   3,  14,   2,   4,  11,   3,   3,  13,   1,   1,   3,   2,   2,   5,   1,   2,   7,   3,   4,  11,   3,   4,  10,   2,   5,  22,   4,  13,  42,   4,  18,  59,   5,  28,  75,
     4,  24,  66,   3,   5,  35,   4,  22,  67,   5,  27,  74,   6,  25,  72,   6,  23,  67,   5,  29,  74,   5,  23,  67,   4,  21,  65,   3,   9,  46,   4,   7,  31,   4,  26,  66,   6,  44,  93,   3,  29,  79,   3,  26,  76,   6,  31,  78,   4,  23,  69,   4,  30,  78,   5,  15,  59,   3,   5,  32,   3,   2,  21,
     2,   3,  15,   2,   3,  16,   3,   5,  29,   3,  10,  43,   6,  26,  64,   4,  15,  48,   2,   2,  28,   3,   9,  44,   3,  10,  45,   2,  10,  46,   3,  12,  48,   3,  18,  59,   4,  17,  58,   3,   7,  41,   1,   1,  31,   3,   5,  33,   5,  10,  39,   4,  11,  39,   3,   6,  27,   3,   5,  20,   2,   3,  16,
     2,   5,  16,   1,   1,   8,   1,   2,  13,  13,   2,  16,  15,   3,  16,  13,   3,  15,  16,   3,  18,  18,   4,  20,  17,   7,  24,  18,   7,  31,  18,   8,  32,  19,  11,  37,  19,  12,  40,  20,  14,  41,  22,  13,  44,  24,  15,  45,  23,  14,  44,  22,  15,  45,  22,  14,  44,  22,  18,  47,  20,  18,  46,
    20,  17,  45,  21,  18,  46,  22,  20,  48,  20,  16,  46,  20,  17,  45,  21,  15,  45,  19,  13,  42,  20,  13,  41,  19,  11,  39,  18,  10,  38,  19,  13,  41,  18,  12,  42,  19,  13,  44,  20,  15,  45,  21,  17,  46,  21,  16,  47,  22,  19,  50,  21,  19,  49,  22,  22,  53,  21,  21,  54,  22,  22,  54,
    22,  23,  57,  24,  24,  60,  22,  24,  60,  23,  25,  62,  21,  24,  60,  24,  26,  63,  26,  29,  65,  26,  29,  67,  29,  29,  69,  27,  28,  67,  29,  29,  67,  30,  30,  69,  28,  29,  70,  28,  30,  72,  27,  30,  73,  24,  29,  73,  25,  31,  76,  27,  32,  76,  26,  32,  79,  26,  32,  79,  26,  33,  81,
    27,  33,  81,  29,  35,  82,  28,  33,  81,  31,  36,  85,  29,  34,  84,  28,  35,  84,  29,  35,  85,  30,  36,  86,  33,  39,  89,  36,  41,  92,  38,  43,  93,  42,  45,  98,  43,  46,  98,  48,  51, 102,  52,  51, 103,  56,  52, 104,  59,  53, 108,  64,  55, 112,  69,  55, 112,  71,  57, 114,  73,  55, 113,
    75,  52, 111,  70,  48, 105,  62,  40,  96,  58,  39,  90,  50,  34,  81,  44,  30,  72,  39,  26,  66,  30,  23,  57,  25,  18,  50,  18,  15,  45,  10,   9,  38,   8,   8,  36,   8,   9,  36,   7,   9,  36,   6,   6,  35,   7,   6,  34,   5,   7,  32,   7,   6,  31,   6,   4,  25,   9,   4,  22,  10,   3,  17,
     8,   2,  13,   8,   2,  10,   9,   2,   8,  10,   2,   7,  12,   2,   5,  21,   3,   7,  32,   3,   9,  47,   5,  11,  63,   8,  10,  78,  17,  15,  95,  40,  41, 114,  77,  93, 124, 129, 175, 108, 121, 180,  84,  89, 145,  68,  70, 123,  60,  63, 121,  60,  69, 128,  59,  74, 135,  50,  68, 129,  53,  77, 140,
    46,  66, 128,  50,  70, 131,  45,  65, 126,  48,  69, 130,  38,  60, 120,  33,  58, 120,  27,  57, 119,  21,  53, 117,  19,  59, 121,  15,  57, 122,  16,  63, 127,  16,  67, 131,  13,  63, 128,  14,  65, 131,  13,  62, 125,  10,  56, 119,   5,  49, 110,  10,  52, 115,  13,  51, 112,  11,  45, 104,  11,  43, 100,
    11,  42,  96,   9,  38,  91,   9,  39,  91,   8,  41,  94,   4,  29,  77,   7,  32,  82,   6,  31,  76,   6,  22,  57,   5,  13,  38,   3,  10,  32,   3,   4,  19,   2,   3,   7,   2,   1,   3,   2,   1,   3,   3,   9,  25,   7,  22,  61,   4,  25,  67,   3,  26,  70,   4,  13,  42,   2,   1,  10,   2,   1,   4,
     1,   2,   3,   3,   6,  25,   5,  23,  63,   5,  24,  63,   4,  12,  43,   2,   2,  16,   2,   2,  14,   1,   2,  10,   1,   2,   7,   2,   2,   5,   1,   2,   4,   2,   4,  12,   6,  14,  44,   3,   8,  47,   5,  15,  56,   8,  38,  83,   6,  23,  64,   6,  14,  46,   3,   5,  29,   4,   6,  29,   7,  16,  45,
     5,  13,  37,   5,   6,  31,   5,  10,  32,   5,   9,  30,   2,   2,  12,   4,   6,  21,   3,   4,  11,   3,   4,  11,   1,   2,   5,   1,   2,   3,   1,   2,   4,   2,   2,   6,   1,   2,   7,   2,   3,  20,   4,  10,  39,   4,  15,  51,   5,  27,  69,   5,  16,  57,   4,   7,  40,   5,  17,  57,   4,  25,  71,
     3,  21,  68,   3,  20,  67,   5,  30,  75,   4,  27,  74,   3,  20,  65,   4,  15,  49,   3,   6,  28,   4,  12,  40,   4,  19,  61,   4,  31,  78,   5,  46,  95,   3,  24,  70,   4,  21,  67,   3,  36,  82,   5,  19,  61,   3,  10,  41,   3,   3,  18,   1,   2,   5,   2,   2,  11,   2,   2,  23,   2,   4,  31,
     3,  14,  47,   3,   9,  40,   3,   4,  34,   5,  11,  44,   3,   9,  42,   4,  15,  47,   3,   4,  31,   4,  17,  54,   4,  24,  64,   3,   7,  39,   3,   4,  28,   2,   7,  36,   3,   4,  31,   2,   6,  31,   3,   3,  20,   2,   3,  15,   1,   2,  14,   1,   2,   8,   2,   1,  11,   2,   1,   6,  14,   8,  28,
    12,   9,  29,  12,  10,  33,  13,  12,  38,  13,  15,  42,  11,  17,  49,  12,  21,  54,  15,  24,  61,  15,  25,  61,  14,  26,  64,  19,  27,  67,  20,  29,  69,  19,  28,  68,  19,  29,  67,  20,  29,  66,  21,  30,  67,  20,  28,  64,  22,  29,  64,  22,  30,  64,  20,  28,  65,  21,  30,  66,  18,  30,  67,
    18,  28,  65,  18,  27,  64,  16,  26,  60,  17,  24,  56,  16,  23,  56,  17,  23,  54,  18,  23,  55,  20,  25,  57,  20,  27,  62,  22,  29,  63,  23,  31,  65,  24,  32,  67,  22,  32,  67,  22,  33,  71,  22,  32,  70,  23,  33,  72,  26,  33,  76,  27,  35,  78,  27,  35,  79,  25,  35,  80,  27,  37,  80,
    27,  37,  83,  30,  39,  85,  29,  37,  82,  31,  39,  82,  32,  38,  83,  31,  38,  82,  32,  38,  83,  33,  38,  83,  31,  37,  83,  30,  37,  83,  28,  37,  83,  28,  38,  84,  29,  39,  85,  30,  39,  89,  29,  38,  89,  29,  40,  90,  28,  40,  91,  31,  42,  92,  31,  40,  90,  33,  41,  92,  34,  43,  93,
    35,  43,  93,  34,  42,  94,  34,  44,  96,  35,  45,  98,  37,  49, 101,  40,  50, 103,  45,  53, 107,  46,  54, 108,  49,  54, 108,  56,  57, 110,  59,  58, 111,  62,  60, 114,  66,  62, 115,  70,  63, 118,  72,  63, 119,  75,  63, 119,  73,  59, 115,  71,  55, 111,  66,  50, 104,  60,  46,  97,  52,  43,  89,
    47,  40,  81,  41,  35,  74,  36,  32,  68,  32,  30,  63,  26,  26,  58,  20,  23,  54,  15,  23,  54,  12,  22,  53,  12,  21,  52,  11,  21,  52,  13,  20,  51,  11,  17,  49,  11,  17,  48,  13,  16,  47,  12,  16,  42,  15,  14,  39,  15,  13,  35,  14,  11,  30,  13,   9,  26,  15,   8,  24,  20,  10,  24,
    23,   9,  23,  30,   9,  23,  40,  12,  26,  54,  20,  30,  70,  32,  44,  93,  72,  97, 124, 137, 186, 121, 146, 203,  88, 106, 169,  74,  83, 142,  63,  71, 130,  58,  66, 124,  62,  73, 134,  60,  86, 151,  55,  86, 155,  55,  93, 164,  56,  99, 172,  52,  88, 157,  53,  91, 161,  46,  83, 156,  54,  96, 171,
    46,  87, 157,  48,  85, 155,  32,  72, 139,  31,  75, 143,  30,  77, 145,  17,  65, 132,  14,  65, 133,  13,  67, 135,  13,  66, 132,  13,  66, 134,  18,  69, 135,  16,  64, 131,  13,  62, 128,  10,  55, 120,  16,  59, 124,  12,  54, 119,  22,  65, 130,  11,  45, 105,   8,  44, 100,  16,  55, 111,   9,  46, 101,
     3,  38,  90,   9,  42,  94,   9,  48, 101,  10,  46, 101,   4,  39,  92,   6,  36,  84,   7,  19,  53,   5,  18,  42,   4,   6,  17,   3,   7,  13,   2,   2,   7,   3,   2,  14,   2,   5,  27,   5,  17,  54,   4,  17,  52,   3,   7,  29,   1,   2,   8,   1,   1,   4,   2,   3,  16,   4,  15,  52,   4,  20,  59,
     6,  22,  57,   3,   4,  30,   3,   4,  22,   2,   2,  16,   2,   3,  15,   1,   1,   5,   1,   1,   5,   2,   3,   6,   3,   7,  25,   5,  18,  53,   5,  15,  53,   4,  21,  58,   4,  18,  59,   6,  34,  72,   3,   5,  31,   4,   7,  36,   5,  19,  55,   9,  35,  75,   7,  17,  50,   6,  16,  46,   3,   4,  21,
     2,   3,  13,   4,   5,  18,   5,   8,  24,   2,   3,  12,   1,   2,   6,   2,   3,   6,   2,   1,   2,   2,   2,   6,   1,   2,   5,   1,   2,   8,   3,   5,  20,   3,  12,  44,   4,  22,  63,   4,  13,  53,   3,   9,  44,   4,  11,  47,   5,  35,  81,   5,  38,  85,   4,  24,  72,   5,  27,  74,   5,  41,  87,
     5,  23,  69,   5,  13,  48,   2,   2,  19,   3,   3,  21,   3,  15,  52,   4,  44,  94,   3,  38,  86,   5,  21,  66,   4,  30,  74,   4,  28,  70,   3,   7,  43,   4,   7,  35,   2,   3,  15,   2,   1,   7,   1,   3,  12,   2,   6,  28,   3,   4,  29,   3,   3,  31,   2,   3,  27,   3,   3,  25,   3,   7,  39,
     5,  14,  46,   3,  10,  34,   1,   3,  21,   5,  19,  54,   5,  27,  65,   3,   6,  35,   3,   2,  21,   1,   4,  28,   3,  11,  40,   3,   4,  26,   1,   2,  12,   2,   4,  15,   0,   2,  14,   1,   2,   7,   1,   2,  11,   1,   1,  10,   7,  18,  49,   6,  18,  54,   6,  21,  60,   7,  23,  65,   5,  27,  70,
     8,  29,  77,   9,  33,  81,  13,  35,  86,  15,  38,  90,  14,  37,  92,  17,  40,  95,  18,  40,  95,  16,  40,  95,  17,  41,  95,  18,  42,  98,  18,  43,  98,  17,  42,  98,  19,  42,  97,  18,  42,  97,  15,  42,  94,  16,  42,  93,  14,  41,  93,  11,  41,  93,  10,  39,  92,   9,  40,  93,   8,  38,  92,
     9,  37,  89,   9,  36,  88,  13,  37,  87,  16,  40,  91,  19,  40,  90,  21,  44,  95,  21,  44,  97,  21,  45,  99,  20,  48, 101,  18,  47, 102,  21,  49, 104,  24,  49, 105,  27,  50, 108,  27,  50, 108,  27,  51, 109,  28,  53, 112,  27,  53, 113,  28,  54, 113,  31,  54, 113,  31,  54, 113,  33,  54, 115,
    32,  53, 111,  32,  53, 111,  30,  52, 111,  30,  52, 110,  29,  50, 106,  30,  50, 108,  29,  50, 108,  28,  50, 106,  28,  50, 106,  29,  52, 110,  29,  52, 110,  31,  53, 113,  28,  53, 114,  29,  53, 115,  33,  56, 115,  33,  56, 116,  34,  55, 113,  37,  57, 117,  36,  59, 120,  37,  59, 120,  39,  61, 123,
    42,  64, 126,  44,  66, 128,  48,  65, 128,  53,  71, 132,  55,  70, 131,  60,  72, 132,  64,  74, 134,  67,  77, 138,  69,  77, 138,  72,  78, 138,  74,  80, 139,  74,  79, 135,  73,  75, 130,  72,  72, 126,  65,  67, 120,  60,  64, 115,  54,  60, 109,  48,  57, 104,  39,  52,  98,  36,  50,  95,  31,  49,  96,
    27,  48,  97,  24,  48,  95,  18,  48,  96,  16,  48,  98,  17,  48,  99,  14,  46,  97,  17,  47,  97,  19,  47,  95,  21,  45,  94,  19,  42,  91,  20,  42,  90,  21,  43,  89,  21,  42,  85,  19,  39,  82,  21,  39,  79,  24,  37,  74,  29,  38,  77,  31,  38,  74,  40,  43,  79,  52,  52,  89,  73,  78, 117,
    96, 109, 167, 106, 130, 201,  86, 107, 177,  66,  81, 145,  60,  78, 142,  57,  75, 138,  58,  76, 137,  58,  84, 149,  60,  91, 159,  60,  93, 164,  51,  85, 155,  59,  98, 173,  59, 103, 181,  58, 105, 183,  62, 107, 185,  54, 103, 181,  58, 105, 182,  55, 107, 187,  63, 119, 202,  39, 100, 179,  39,  97, 173,
    33,  88, 159,  26,  82, 153,  26,  84, 155,  22,  78, 148,  22,  75, 144,  15,  68, 138,  15,  67, 135,  10,  62, 133,  16,  68, 138,  16,  67, 138,  25,  76, 147,  21,  71, 142,  28,  77, 147,  21,  64, 130,  17,  60, 125,  19,  67, 132,  16,  63, 126,  14,  58, 121,  18,  60, 121,  11,  50, 110,  14,  55, 113,
     9,  44,  98,   7,  38,  91,  10,  47, 102,   4,  43,  97,   4,  29,  81,   9,  40,  83,   5,  15,  46,   4,  10,  29,   3,   4,  16,   3,   4,  20,   4,  10,  39,   4,  17,  46,   4,   7,  24,   1,   1,   2,   2,   3,  10,   5,  11,  38,   6,  16,  51,   4,  16,  55,   4,  13,  49,   4,   9,  39,   2,   2,  23,
     5,   8,  32,   2,   5,  20,   1,   2,   7,   2,   2,   5,   2,   2,  11,   4,   6,  28,   3,   7,  35,   5,   8,  35,   4,  18,  51,   3,  11,  39,   6,  19,  50,   3,   6,  33,   5,  15,  48,   4,  13,  45,   4,   7,  27,   4,   5,  26,   3,   4,  20,   2,   3,  10,   2,   2,   7,   2,   2,   9,   3,   4,  15,
     2,   2,  10,   2,   3,   5,   1,   1,   1,   2,   3,   7,   4,   4,  13,   2,   3,  13,   4,   5,  20,   3,   9,  36,   4,  16,  52,   3,  22,  65,   4,  18,  57,   5,   6,  32,   5,  18,  56,   6,  30,  72,   4,  34,  80,   3,  25,  72,   3,  27,  75,   4,  20,  65,   5,  15,  52,   2,   4,  24,   1,   3,  18,
     2,  18,  55,   4,  41,  88,   4,  19,  64,   5,  28,  72,   5,  27,  72,   5,  28,  67,   4,  12,  46,   2,   3,  23,   1,   1,  10,   2,   2,   6,   1,   3,  13,   4,   8,  28,   2,   3,  25,   2,   4,  30,   2,   5,  29,   3,   4,  21,   4,  12,  42,   3,   7,  36,   3,   5,  28,   1,   3,  19,   3,  13,  49,
     2,  22,  62,   2,   6,  29,   2,   2,  13,   3,   8,  31,   2,   8,  34,   2,   3,  20,   2,   1,  12,   2,   2,  12,   2,   3,  13,   1,   2,   9,   1,   1,   9,   2,   3,  16,   4,  26,  73,   6,  30,  81,   6,  33,  86,   7,  34,  89,   6,  37,  93,   9,  40, 100,  11,  44, 106,  12,  47, 110,  13,  49, 113,
    15,  50, 115,  17,  52, 116,  16,  51, 113,  17,  53, 116,  18,  54, 118,  18,  56, 120,  20,  56, 121,  18,  55, 121,  19,  56, 121,  16,  55, 121,  17,  57, 123,  16,  57, 123,  15,  58, 122,  14,  56, 122,  14,  57, 121,  14,  56, 121,  14,  55, 121,  12,  54, 121,  11,  53, 119,  15,  55, 119,  16,  56, 121,
    20,  58, 124,  23,  61, 126,  24,  63, 129,  23,  64, 130,  23,  66, 132,  23,  65, 131,  25,  67, 132,  27,  68, 136,  30,  68, 137,  30,  68, 138,  31,  70, 140,  33,  72, 140,  32,  71, 138,  34,  73, 141,  36,  73, 143,  35,  72, 142,  36,  71, 141,  38,  73, 141,  35,  71, 139,  34,  70, 136,  34,  70, 136,
    31,  66, 134,  34,  67, 134,  33,  67, 136,  30,  65, 134,  30,  67, 135,  31,  68, 136,  32,  69, 136,  35,  70, 139,  34,  71, 139,  35,  72, 140,  37,  74, 141,  36,  74, 142,  39,  76, 144,  41,  77, 145,  40,  77, 146,  42,  78, 148,  47,  82, 152,  49,  83, 153,  51,  84, 154,  52,  84, 156,  57,  86, 158,
    60,  88, 158,  62,  88, 159,  65,  90, 161,  66,  90, 161,  69,  92, 163,  69,  93, 164,  70,  94, 161,  71,  94, 161,  71,  92, 159,  68,  90, 156,  64,  86, 152,  61,  85, 148,  54,  81, 146,  47,  78, 142,  42,  76, 139,  35,  73, 137,  35,  72, 136,  34,  72, 137,  34,  75, 140,  31,  75, 140,  30,  75, 139,
    31,  77, 141,  32,  76, 142,  34,  76, 141,  38,  78, 142,  37,  78, 142,  37,  76, 142,  35,  75, 140,  34,  73, 137,  34,  72, 135,  36,  72, 135,  36,  70, 133,  38,  70, 131,  41,  71, 133,  47,  74, 135,  60,  88, 153,  82, 116, 189,  91, 133, 217,  85, 111, 186,  68,  89, 152,  56,  79, 146,  59,  84, 150,
    58,  82, 147,  54,  79, 145,  54,  84, 151,  51,  85, 155,  49,  83, 151,  46,  80, 150,  44,  78, 151,  52,  91, 165,  64, 111, 193,  70, 123, 207,  69, 123, 207,  60, 108, 190,  51, 102, 182,  62, 121, 205,  65, 129, 214,  50, 112, 193,  51, 112, 194,  50, 117, 199,  44, 109, 190,  39, 103, 181,  34,  96, 173,
    40, 100, 177,  26,  82, 154,  27,  81, 153,  23,  77, 150,  25,  78, 150,  14,  66, 138,  29,  81, 155,  21,  75, 149,  35,  93, 168,  45, 105, 183,  26,  79, 151,  19,  72, 142,  15,  67, 135,  19,  68, 138,  16,  62, 128,  13,  55, 118,  13,  53, 113,  16,  59, 117,  11,  49, 105,   9,  47, 100,  13,  53, 108,
     9,  48, 104,  13,  53, 110,   7,  43,  99,   7,  41,  94,   6,  24,  68,   7,  22,  52,   6,  11,  33,   4,   9,  28,   4,   7,  26,   2,   2,  13,   2,   2,   4,   2,   1,   6,   3,   6,  25,   4,  16,  50,   5,  23,  64,   7,  22,  63,   3,   6,  34,   4,  16,  51,   3,  22,  57,   3,   1,  16,   1,   2,   9,
     3,   2,  13,   3,   3,  18,   2,   3,  21,   4,   4,  25,   3,   5,  26,   2,   4,  20,   3,   3,  19,   5,   8,  34,   3,   5,  32,   5,  13,  42,   3,   5,  23,   2,   2,  15,   2,   3,  15,   1,   2,   7,   1,   1,   4,   1,   2,   7,   3,   4,  14,   3,   3,  10,   1,   2,   3,   2,   1,   1,   1,   2,   2,
     1,   1,   5,   3,   4,  13,   3,   4,  12,   5,   9,  27,   3,   9,  39,   4,  20,  60,   4,  25,  66,   3,   3,  27,   3,   5,  28,   4,   9,  41,   4,  23,  61,   5,  33,  78,   4,  30,  75,   6,  31,  78,   7,  31,  73,   2,   3,  24,   2,   2,  16,   3,  13,  48,   3,  25,  71,   4,  17,  61,   4,  32,  77,
     3,  24,  68,   3,  18,  54,   3,   6,  30,   2,   5,  24,   2,   5,  17,   1,   1,   5,   1,   4,  15,   5,  11,  35,   2,   4,  30,   3,   6,  33,   3,   6,  31,   3,   4,  22,   3,   9,  33,   3,   8,  36,   2,   4,  27,   2,   5,  23,   4,  14,  51,   4,  18,  56,   3,   4,  25,   2,   2,  12,   2,   4,  26,
     2,   6,  29,   1,   1,  16,   2,   4,  21,   2,   2,  10,   1,   2,  11,   2,   3,  13,   1,   2,  12,   2,   2,  16,   7,  40,  98,   7,  43, 101,   7,  44, 105,   8,  46, 111,  10,  48, 115,  11,  52, 120,  13,  55, 123,  15,  58, 127,  15,  59, 128,  17,  60, 129,  19,  61, 130,  19,  62, 132,  19,  65, 136,
    20,  66, 138,  21,  67, 138,  22,  67, 140,  21,  67, 141,  19,  69, 141,  19,  68, 141,  18,  69, 140,  18,  67, 141,  20,  69, 142,  20,  70, 144,  20,  68, 142,  20,  69, 143,  17,  68, 142,  19,  69, 143,  18,  68, 142,  21,  71, 144,  21,  71, 146,  26,  74, 150,  26,  76, 151,  27,  78, 154,  31,  81, 157,
    30,  81, 157,  30,  82, 158,  33,  83, 157,  32,  82, 157,  34,  83, 159,  37,  86, 163,  35,  86, 163,  39,  89, 164,  38,  87, 165,  40,  88, 166,  41,  88, 165,  42,  89, 165,  43,  88, 167,  43,  88, 166,  43,  86, 164,  40,  85, 161,  38,  81, 157,  36,  83, 158,  37,  83, 157,  37,  82, 157,  38,  83, 160,
    40,  85, 160,  39,  85, 160,  41,  87, 163,  42,  86, 164,  44,  89, 167,  44,  89, 165,  45,  89, 165,  45,  89, 165,  49,  92, 167,  49,  91, 166,  48,  91, 167,  51,  96, 173,  53,  98, 175,  57,  99, 177,  57, 101, 178,  58, 100, 180,  62, 102, 182,  60, 102, 182,  65, 103, 182,  67, 105, 183,  68, 106, 184,
    71, 107, 187,  70, 107, 187,  72, 108, 188,  72, 108, 187,  71, 107, 185,  70, 106, 183,  67, 104, 181,  65, 102, 178,  62, 100, 177,  59,  97, 172,  55,  98, 172,  54,  97, 173,  53,  97, 173,  53,  98, 174,  53, 100, 175,  52,  99, 176,  54, 100, 178,  55, 102, 179,  56, 102, 179,  58, 103, 181,  60, 105, 181,
    58, 103, 179,  59, 103, 180,  59, 103, 178,  57, 101, 178,  57, 101, 177,  57, 100, 176,  56, 100, 176,  60, 103, 180,  69, 109, 190,  79, 119, 204,  81, 125, 208,  72, 108, 185,  63,  92, 164,  65,  91, 160,  47,  78, 145,  51,  82, 149,  50,  86, 154,  47,  85, 154,  49,  88, 159,  51,  92, 164,  43,  83, 154,
    41,  79, 149,  39,  76, 147,  39,  75, 150,  51,  92, 166,  51,  96, 172,  53,  98, 177,  58, 108, 188,  52, 103, 182,  45,  98, 178,  47, 101, 181,  48, 107, 186,  40, 102, 183,  49, 111, 192,  61, 128, 213,  55, 121, 207,  70, 135, 226,  69, 137, 227,  51, 116, 201,  46, 110, 193,  44, 106, 186,  40, 101, 180,
    38,  96, 174,  27,  81, 159,  26,  79, 156,  20,  75, 150,  23,  80, 155,  29,  85, 159,  23,  76, 148,  22,  74, 146,  21,  72, 144,  20,  70, 142,  18,  66, 137,  32,  78, 150,  28,  78, 148,  16,  62, 128,  15,  57, 121,  14,  56, 117,  20,  62, 125,  24,  67, 130,  17,  59, 118,  10,  46, 103,  12,  49, 104,
     6,  45, 102,  16,  59, 119,  16,  56, 115,  15,  54, 109,   8,  31,  70,   2,   9,  30,   2,   4,  18,   2,   3,  10,   1,   1,   8,   4,   4,  16,   5,  15,  44,   4,  23,  61,   3,  14,  50,   5,  24,  63,   4,  27,  69,   3,   8,  35,   3,   5,  27,   2,   5,  19,   2,   2,  13,   2,   2,  14,   2,   3,  14,
     2,   4,  16,   4,   9,  29,   2,   3,  13,   3,   4,  23,   4,  10,  35,   4,   9,  36,   3,   2,  13,   1,   2,   9,   1,   2,   5,   2,   1,   6,   1,   1,   5,   1,   2,   9,   1,   3,   9,   2,   2,   3,   1,   1,   2,   1,   1,   3,   2,   2,   3,   1,   2,   3,   2,   2,  10,   1,   2,   6,   2,   2,   8,
     3,   6,  24,   3,  16,  50,   2,  17,  55,   4,   6,  32,   2,   4,  22,   3,  11,  36,   3,   7,  31,   5,  22,  60,   4,  32,  78,   4,  24,  67,   3,  17,  55,   3,   3,  21,   2,   3,  19,   4,  12,  46,   3,  25,  69,   4,  26,  72,   5,  31,  78,   4,  24,  68,   3,  12,  46,   2,   1,  16,   2,   3,  17,
     2,   4,  17,   2,   2,   7,   1,   2,  15,   3,   7,  32,   2,   6,  32,   3,   7,  35,   4,   7,  34,   3,   5,  25,   2,   3,  20,   3,   9,  35,   3,   8,  33,   2,   7,  28,   4,  23,  59,   3,  18,  53,   3,   2,  20,   2,   1,  13,   3,   4,  23,   2,   2,  20,   1,   2,  15,   2,   3,  16,   1,   2,   6,
     1,   2,   6,   2,   3,  11,   1,   3,  11,   2,   2,  12,  10,  51, 116,  10,  54, 120,  11,  55, 123,  13,  56, 126,  14,  59, 130,  14,  62, 134,  15,  65, 136,  17,  66, 139,  16,  66, 138,  19,  68, 141,  19,  67, 141,  21,  72, 145,  22,  72, 145,  24,  75, 149,  25,  75, 150,  27,  76, 152,  26,  76, 152,
    27,  77, 151,  26,  76, 151,  23,  75, 148,  24,  76, 149,  23,  75, 149,  25,  76, 150,  26,  76, 150,  27,  78, 152,  24,  76, 152,  24,  76, 153,  25,  79, 154,  27,  79, 156,  27,  81, 158,  28,  81, 159,  31,  85, 163,  33,  87, 165,  34,  90, 169,  34,  90, 170,  35,  91, 171,  37,  91, 171,  36,  91, 173,
    39,  93, 173,  40,  95, 177,  39,  95, 176,  42,  97, 178,  42,  97, 179,  43,  96, 178,  43,  96, 177,  45,  98, 180,  43,  96, 178,  45,  97, 178,  45,  94, 176,  44,  94, 176,  43,  92, 173,  43,  93, 173,  41,  92, 171,  42,  93, 173,  43,  91, 172,  45,  94, 175,  46,  96, 176,  46,  96, 178,  48,  98, 180,
    48,  98, 181,  48, 100, 181,  50,  99, 182,  49, 100, 182,  52, 102, 183,  52, 102, 184,  52, 104, 185,  55, 106, 190,  56, 107, 192,  58, 110, 193,  60, 111, 195,  64, 114, 198,  62, 114, 198,  63, 115, 199,  66, 115, 199,  68, 117, 200,  67, 117, 201,  71, 119, 202,  71, 120, 204,  69, 118, 203,  73, 120, 207,
    70, 120, 205,  70, 120, 204,  69, 117, 200,  68, 116, 199,  67, 116, 199,  67, 114, 197,  65, 114, 198,  66, 115, 199,  64, 116, 200,  63, 115, 201,  65, 118, 203,  65, 118, 204,  68, 121, 207,  69, 122, 208,  70, 122, 209,  71, 122, 210,  72, 123, 211,  70, 125, 211,  70, 124, 209,  70, 125, 211,  72, 124, 210,
    73, 123, 209,  75, 123, 211,  78, 125, 212,  79, 125, 211,  81, 122, 208,  77, 120, 204,  75, 123, 204,  63, 106, 182,  35,  73, 140,  31,  70, 137,  33,  73, 140,  40,  80, 149,  44,  93, 163,  41,  94, 168,  43,  95, 169,  44,  91, 165,  45,  98, 174,  49, 104, 182,  43,  95, 171,  40,  87, 161,  50,  95, 167,
    39,  85, 159,  34,  81, 155,  45,  95, 172,  54, 104, 182,  53, 103, 180,  41,  94, 172,  43, 100, 178,  44, 105, 185,  48, 109, 192,  53, 118, 203,  46, 110, 194,  58, 122, 209,  57, 121, 208,  50, 114, 199,  54, 117, 202,  56, 119, 203,  54, 118, 201,  53, 119, 203,  44, 105, 188,  38,  93, 172,  35,  91, 168,
    35,  92, 171,  43, 101, 180,  36,  95, 173,  41,  98, 176,  36,  91, 168,  31,  82, 155,  28,  78, 152,  41,  96, 172,  43, 102, 180,  28,  78, 152,  24,  73, 144,  23,  72, 142,  12,  60, 128,  21,  68, 135,  22,  66, 129,  10,  48, 106,  19,  59, 121,  12,  55, 117,  16,  58, 120,  25,  68, 130,  11,  51, 108,
    12,  45, 103,   8,  38,  92,   4,  23,  68,   3,  17,  54,   4,  12,  42,   5,  12,  37,   2,   8,  26,   4,   6,  24,   3,   7,  33,   5,   9,  34,   5,  17,  53,   6,  25,  64,   5,  18,  52,   5,  16,  46,   3,   7,  29,   3,   4,  19,   2,   3,  16,   2,   4,  25,   3,   5,  25,   3,   4,  19,   2,   2,  14,
     4,  12,  37,   5,  11,  33,   2,   2,  12,   2,   3,  12,   2,   2,   8,   2,   3,  10,   1,   2,   7,   2,   2,   7,   3,   3,   7,   1,   1,   2,   2,   2,   5,   3,   5,  13,   4,   4,  11,   2,   1,   7,   2,   2,  10,   1,   2,   8,   1,   2,   4,   2,   3,  14,   4,   9,  33,   4,  14,  46,   4,  10,  42,
     4,   6,  27,   2,   2,  18,   2,   2,  21,   2,   7,  37,   4,  19,  58,   4,  14,  53,   3,  15,  50,   3,   6,  32,   3,   4,  28,   4,  17,  53,   5,  34,  79,   4,  27,  73,   3,  18,  59,   5,  33,  79,   3,  22,  58,   3,   5,  26,   1,   2,  13,   2,   2,  14,   0,   2,   9,   3,   5,  23,   3,   6,  28,
     2,   4,  29,   4,   6,  35,   3,  11,  40,   2,   5,  25,   2,   2,  15,   2,   3,  18,   2,   3,  24,   3,   6,  30,   3,  16,  49,   3,   8,  38,   3,   2,  17,   1,   2,  10,   2,   3,  16,   2,   2,  15,   1,   3,  18,   2,   2,  14,   1,   1,   6,   1,   1,   2,   0,   1,   5,   1,   2,   7,   1,   2,  10,
    14,  58, 126,  13,  59, 126,  15,  61, 129,  16,  61, 130,  16,  62, 132,  16,  64, 135,  16,  64, 136,  16,  65, 137,  18,  67, 139,  19,  69, 141,  21,  70, 143,  22,  71, 144,  25,  74, 148,  26,  76, 150,  25,  76, 149,  26,  77, 149,  25,  76, 148,  27,  76, 150,  24,  75, 149,  23,  75, 147,  21,  74, 146,
    21,  74, 146,  22,  74, 146,  24,  75, 149,  27,  77, 150,  27,  79, 150,  29,  79, 153,  28,  82, 155,  28,  81, 158,  31,  84, 160,  33,  85, 163,  36,  88, 166,  38,  92, 170,  37,  92, 172,  37,  92, 171,  38,  94, 172,  39,  94, 175,  39,  93, 173,  43,  98, 178,  41,  97, 177,  43,  98, 179,  41,  98, 179,
    43,  99, 180,  46, 102, 182,  46, 101, 182,  46, 101, 183,  47, 102, 182,  47, 102, 183,  46, 100, 180,  44,  97, 177,  47,  98, 179,  45,  98, 179,  43,  97, 177,  42,  96, 177,  45,  99, 178,  47, 100, 180,  46, 100, 180,  48, 102, 183,  50, 104, 187,  50, 104, 186,  50, 106, 188,  53, 107, 189,  53, 107, 190,
    54, 108, 189,  55, 110, 191,  56, 111, 195,  56, 112, 195,  59, 116, 200,  61, 117, 202,  64, 117, 205,  65, 121, 206,  64, 121, 206,  66, 121, 207,  68, 121, 206,  68, 120, 205,  69, 120, 205,  71, 122, 207,  71, 122, 208,  72, 124, 209,  75, 125, 211,  73, 123, 210,  72, 124, 210,  72, 127, 209,  70, 123, 209,
    70, 124, 209,  71, 126, 211,  71, 124, 211,  73, 126, 214,  72, 125, 211,  73, 126, 213,  74, 128, 216,  74, 128, 217,  75, 131, 221,  74, 132, 221,  75, 135, 222,  77, 135, 223,  78, 135, 225,  79, 135, 225,  75, 135, 225,  76, 136, 225,  79, 135, 223,  79, 133, 221,  74, 122, 208,  67, 108, 190,  53,  92, 165,
    44,  82, 156,  49,  94, 170,  62, 119, 199,  59, 116, 195,  19,  65, 129,  12,  58, 123,  19,  67, 134,  14,  68, 138,  24,  79, 150,  34,  92, 164,  44, 106, 185,  46, 107, 185,  46, 109, 190,  50, 117, 197,  43, 106, 186,  35,  96, 171,  30,  83, 154,  29,  78, 149,  32,  81, 153,  45,  98, 173,  52, 103, 178,
    36,  91, 165,  30,  83, 158,  38,  96, 171,  45, 103, 182,  49, 109, 192,  52, 113, 198,  41, 103, 187,  52, 114, 200,  58, 120, 206,  59, 122, 206,  53, 113, 199,  57, 119, 203,  60, 124, 210,  58, 122, 208,  56, 120, 209,  59, 121, 208,  59, 120, 205,  43, 102, 183,  45, 103, 184,  48, 108, 190,  52, 111, 194,
    51, 111, 195,  31,  84, 160,  26,  78, 152,  23,  73, 148,  31,  85, 162,  37,  90, 166,  32,  86, 158,  29,  83, 155,  21,  75, 148,  25,  82, 153,  34,  90, 163,  20,  67, 133,  22,  65, 130,  17,  58, 124,  12,  55, 118,  23,  67, 130,  16,  56, 117,  20,  59, 119,  19,  56, 115,   6,  38,  89,   6,  35,  86,
     5,  34,  83,   5,  27,  76,   5,  26,  75,  11,  38,  85,   7,  26,  67,   6,  20,  53,   3,  14,  44,   3,   9,  37,   3,   9,  36,   5,  13,  39,   4,  12,  38,   5,  10,  36,   3,   6,  28,   4,   9,  33,   3,   8,  32,   2,   4,  16,   1,   2,   8,   3,   3,  23,   3,   6,  26,   2,   2,  11,   2,   2,   9,
     1,   2,   6,   3,   5,  12,   3,   3,   6,   2,   2,   3,   2,   2,   3,   1,   1,   3,   3,   3,   9,   6,   8,  22,   3,   2,  11,   3,   4,  12,   3,   4,  12,   1,   2,   8,   1,   2,   6,   1,   1,   4,   1,   2,  12,   3,   9,  29,   6,  17,  50,   3,   4,  27,   2,   3,  20,   2,   4,  23,   3,   5,  30,
     3,   9,  39,   4,  12,  49,   3,  12,  47,   3,   4,  32,   3,   6,  32,   5,  20,  56,   5,  26,  72,   5,  32,  76,   4,  15,  53,   3,  21,  63,   4,  15,  53,   3,   8,  32,   1,   2,  14,   2,   2,  13,   1,   2,   9,   3,   4,  20,   1,   2,  19,   3,   5,  31,   3,   7,  39,   3,   5,  33,   2,   4,  24,
     3,   5,  22,   1,   2,  13,   2,   3,  19,   2,   4,  23,   3,   9,  36,   2,   5,  31,   3,   4,  24,   1,   2,  14,   2,   3,  17,   1,   3,  15,   3,   6,  29,   2,   6,  26,   1,   2,   6,   1,   2,   1,   1,   1,   1,   2,   2,   5,   3,   3,  14,  16,  59, 127,  14,  59, 127,  14,  60, 128,  13,  61, 128,
    15,  62, 131,  14,  61, 132,  13,  63, 134,  14,  64, 136,  15,  65, 136,  20,  68, 140,  20,  69, 140,  21,  71, 143,  22,  73, 144,  22,  72, 144,  20,  71, 144,  19,  70, 142,  18,  70, 142,  17,  70, 140,  14,  69, 140,  13,  67, 138,  12,  67, 138,  10,  65, 136,  13,  67, 137,  16,  67, 139,  18,  69, 141,
    21,  73, 145,  22,  73, 147,  22,  76, 148,  22,  77, 152,  27,  80, 157,  28,  83, 158,  31,  85, 161,  33,  87, 164,  31,  86, 166,  31,  88, 165,  34,  89, 167,  33,  90, 169,  33,  89, 169,  36,  91, 171,  36,  92, 172,  37,  94, 174,  37,  93, 174,  40,  96, 177,  41,  98, 179,  41,  98, 179,  42,  98, 180,
    42,  98, 179,  43,  99, 180,  43,  97, 178,  42,  97, 178,  41,  95, 176,  41,  95, 175,  39,  95, 175,  41,  96, 176,  43,  97, 177,  44,  99, 179,  43,  98, 179,  47, 103, 183,  48, 103, 184,  50, 105, 186,  50, 105, 187,  51, 106, 188,  52, 108, 189,  54, 108, 190,  54, 109, 191,  54, 111, 194,  55, 112, 194,
    57, 115, 198,  60, 116, 202,  60, 115, 202,  63, 118, 203,  63, 119, 203,  63, 117, 203,  63, 117, 202,  64, 117, 203,  66, 118, 203,  68, 120, 205,  67, 120, 206,  67, 121, 206,  69, 120, 207,  68, 120, 207,  69, 123, 208,  70, 122, 209,  71, 124, 211,  70, 124, 209,  71, 125, 210,  70, 123, 210,  73, 125, 213,
    71, 124, 211,  74, 127, 214,  72, 127, 213,  76, 130, 219,  76, 132, 220,  76, 134, 221,  76, 134, 223,  77, 135, 222,  77, 136, 224,  79, 134, 225,  77, 137, 225,  75, 135, 220,  70, 119, 204,  56,  97, 171,  42,  79, 147,  32,  67, 130,  22,  61, 126,  22,  68, 134,  22,  80, 150,  21,  89, 159,  17,  79, 149,
     5,  57, 121,  13,  62, 127,  17,  68, 134,   7,  63, 131,  15,  75, 145,  23,  86, 156,  41, 108, 186,  45, 113, 192,  39, 104, 184,  34,  99, 178,  21,  90, 168,  25,  90, 165,  13,  75, 146,   8,  62, 132,  19,  75, 145,  29,  90, 164,  34,  93, 167,  22,  79, 151,  20,  77, 149,  26,  82, 155,  30,  86, 161,
    46, 104, 185,  60, 119, 202,  51, 109, 191,  47, 109, 192,  46, 106, 187,  40, 100, 182,  45, 105, 188,  45, 105, 188,  48, 109, 193,  52, 114, 200,  53, 116, 205,  60, 125, 211,  62, 126, 214,  52, 114, 200,  51, 112, 198,  51, 112, 196,  54, 114, 198,  46, 105, 189,  43, 101, 182,  40,  93, 171,  52, 106, 188,
    56, 112, 193,  40,  97, 174,  24,  77, 152,  16,  70, 146,  18,  74, 147,  26,  83, 155,  23,  79, 151,  24,  75, 149,  25,  74, 145,  17,  61, 129,  21,  67, 135,  32,  77, 145,  24,  69, 137,  27,  71, 139,  16,  54, 117,  10,  50, 106,  10,  47, 102,  11,  48, 104,  14,  45,  98,   6,  30,  80,   5,  33,  83,
    11,  42,  91,  10,  42,  92,   5,  36,  84,   7,  38,  86,   8,  38,  84,   3,  23,  65,   3,  16,  54,   3,  13,  42,   4,  11,  34,   4,   8,  27,   3,   6,  26,   2,   4,  18,   1,   4,  11,   2,   4,  17,   2,   4,  17,   3,   5,  14,   2,   3,   9,   2,   2,   6,   1,   1,   1,   1,   1,   3,   2,   1,   2,
     1,   1,   3,   1,   1,   6,   2,   2,   6,   3,   2,  10,   3,   2,   9,   1,   2,   7,   2,   3,   7,   1,   1,   2,   2,   1,   3,   1,   1,   6,   2,   2,  12,   2,   3,  20,   4,   7,  35,   3,   7,  34,   2,   5,  26,   3,   6,  25,   1,   4,  20,   3,  11,  37,   3,  10,  44,   3,  11,  44,   3,   8,  35,
     3,   7,  35,   4,  18,  58,   3,  18,  60,   3,  24,  67,   3,  19,  57,   4,  10,  48,   3,  19,  60,   5,  17,  51,   3,   4,  27,   2,   3,  19,   1,   2,  13,   2,   4,  24,   3,   5,  26,   2,   5,  29,   3,  10,  40,   3,  12,  44,   3,   8,  37,   3,   6,  21,   1,   2,  11,   1,   2,  11,   2,   3,  16,
     3,   7,  30,   3,   7,  33,   3,   6,  25,   3,   3,  15,   1,   3,  14,   2,   3,  18,   2,   4,  26,   3,   7,  30,   1,   3,  11,   1,   2,   2,   1,   1,   1,   1,   2,   3,   0,   2,   6,  14,  57, 122,  13,  56, 124,  13,  57, 124,  12,  58, 125,  11,  58, 127,  12,  58, 128,  15,  62, 131,  16,  62, 132,
    17,  62, 135,  18,  64, 135,  17,  65, 135,  17,  66, 135,  15,  65, 136,  14,  63, 135,  15,  64, 135,  13,  63, 133,  11,  61, 131,  12,  63, 133,  12,  63, 132,   9,  62, 131,   8,  61, 130,   7,  60, 130,   8,  61, 131,  10,  61, 132,  14,  63, 135,  17,  67, 139,  18,  70, 143,  23,  74, 147,  25,  77, 150,
    29,  80, 155,  27,  81, 157,  31,  85, 160,  30,  85, 161,  33,  87, 163,  33,  87, 165,  34,  88, 165,  32,  89, 166,  31,  86, 165,  34,  90, 168,  34,  90, 170,  36,  93, 173,  38,  94, 175,  38,  95, 175,  39,  98, 178,  38,  97, 177,  40,  98, 179,  41,  97, 178,  41,  98, 179,  43,  98, 178,  41,  95, 176,
    40,  95, 175,  42,  95, 176,  42,  98, 176,  42,  96, 174,  41,  95, 175,  40,  95, 175,  42,  97, 177,  41,  97, 177,  41,  97, 178,  45, 100, 181,  46, 101, 183,  46, 101, 182,  46, 101, 183,  46, 101, 183,  48, 103, 184,  47, 103, 185,  48, 104, 186,  50, 106, 188,  52, 107, 190,  53, 111, 193,  54, 108, 192,
    55, 111, 195,  53, 108, 193,  56, 110, 194,  56, 109, 193,  56, 109, 193,  58, 111, 196,  58, 111, 196,  59, 111, 197,  61, 112, 198,  59, 111, 197,  61, 113, 200,  61, 112, 198,  60, 114, 199,  61, 115, 201,  62, 117, 202,  62, 116, 202,  62, 115, 202,  61, 115, 203,  64, 117, 203,  63, 116, 203,  64, 119, 205,
    66, 121, 208,  67, 122, 210,  66, 122, 210,  69, 125, 213,  69, 126, 214,  67, 124, 213,  64, 118, 203,  51,  98, 171,  35,  71, 135,  25,  58, 118,  23,  59, 120,  22,  62, 124,  25,  64, 128,  29,  74, 140,  27,  87, 158,  12,  81, 152,   5,  65, 135,  10,  67, 135,  17,  72, 137,  11,  66, 131,  10,  68, 137,
    16,  78, 148,  13,  78, 149,  18,  85, 157,  32, 100, 176,  33, 101, 178,  21,  89, 166,  21,  94, 172,  32, 100, 179,  18,  85, 156,   8,  69, 138,  18,  81, 152,  32,  99, 174,  32,  97, 172,  14,  77, 148,  16,  77, 149,  27,  86, 157,  29,  86, 160,  36,  92, 171,  43, 100, 181,  38,  95, 175,  39,  98, 177,
    44, 102, 181,  45, 105, 185,  53, 111, 191,  46, 104, 186,  44, 103, 185,  50, 110, 195,  59, 121, 207,  51, 115, 200,  53, 116, 203,  58, 123, 211,  62, 126, 213,  61, 122, 209,  60, 122, 209,  58, 121, 208,  55, 117, 205,  56, 115, 202,  50, 107, 191,  45, 101, 184,  44, 103, 182,  41, 101, 180,  43, 103, 181,
    37,  96, 172,  23,  82, 155,  17,  71, 145,  24,  76, 148,  25,  78, 151,  28,  83, 156,  19,  71, 142,  21,  68, 139,  31,  79, 149,  26,  74, 146,  20,  62, 130,  25,  69, 137,  24,  66, 135,  21,  63, 128,  15,  52, 111,   8,  40,  93,   6,  34,  84,  11,  42,  92,   4,  33,  84,   6,  35,  83,   8,  37,  87,
     5,  33,  79,   2,  17,  63,   4,  24,  69,   5,  29,  76,  11,  41,  91,  15,  43,  90,   7,  31,  73,   6,  25,  65,   5,  18,  49,   4,  16,  42,   5,  17,  43,   6,  25,  53,   6,  19,  46,   4,  11,  31,   2,  10,  24,   3,   8,  20,   2,   7,  17,   3,   5,  15,   3,   4,  15,   1,   3,  12,   2,   3,  15,
     3,   4,  19,   3,   3,  12,   2,   2,   4,   1,   2,   2,   2,   2,   7,   3,   3,  14,   3,   4,  19,   3,   5,  26,   3,   4,  26,   2,   7,  32,   3,   7,  28,   2,   2,  16,   2,   2,  14,   3,   6,  28,   4,  11,  42,   3,   9,  38,   2,   4,  28,   2,   4,  29,   3,  15,  55,   4,  13,  52,   5,  29,  68,
     2,  11,  45,   4,  12,  48,   4,  20,  58,   4,  16,  53,   3,   8,  41,   2,   5,  28,   3,   5,  24,   4,   8,  37,   2,   7,  37,   2,   9,  41,   2,   9,  41,   3,  20,  56,   3,  10,  41,   3,   4,  23,   2,   1,  11,   2,   3,  13,   1,   2,  11,   4,   7,  30,   3,   4,  25,   2,   1,  12,   2,   3,  11,
     1,   2,  11,   1,   2,  14,   2,   5,  22,   4,  10,  36,   3,   5,  25,   2,   2,   7,   1,   1,   3,   1,   2,   7,   1,   2,   7,  12,  54, 120,  12,  54, 119,  13,  55, 121,  12,  54, 122,  12,  56, 122,  13,  55, 122,  13,  58, 125,  12,  58, 125,  12,  57, 125,  14,  59, 126,  12,  58, 125,  14,  58, 126,
    12,  58, 126,  12,  57, 125,   9,  56, 123,  10,  57, 124,   9,  55, 124,   9,  57, 124,   8,  56, 124,   5,  56, 124,   6,  56, 124,   5,  56, 125,   8,  58, 128,  10,  60, 131,  13,  63, 135,  18,  68, 140,  21,  71, 144,  24,  74, 147,  28,  78, 151,  29,  79, 155,  31,  84, 160,  35,  89, 163,  35,  89, 165,
    37,  91, 167,  36,  90, 167,  34,  90, 166,  32,  88, 165,  36,  90, 168,  38,  92, 169,  36,  94, 171,  39,  95, 173,  40,  96, 176,  40,  96, 177,  42,  98, 178,  43, 100, 181,  43,  99, 180,  42,  98, 179,  43,  99, 179,  44,  98, 178,  44,  97, 178,  39,  95, 175,  38,  92, 172,  37,  92, 170,  38,  92, 170,
    35,  89, 166,  34,  88, 165,  34,  89, 167,  35,  91, 170,  36,  93, 170,  38,  94, 173,  41,  95, 174,  41,  96, 175,  39,  93, 173,  40,  95, 176,  41,  95, 174,  39,  93, 173,  41,  95, 175,  42,  97, 175,  45, 100, 180,  47, 102, 182,  47, 100, 182,  47, 101, 181,  45,  99, 180,  47, 100, 180,  47, 100, 181,
    50, 102, 183,  50, 102, 184,  51, 105, 186,  52, 104, 186,  50, 104, 186,  51, 105, 187,  51, 105, 186,  49, 104, 186,  51, 105, 187,  52, 107, 189,  52, 107, 190,  53, 108, 192,  54, 108, 191,  52, 106, 191,  52, 107, 190,  52, 106, 190,  55, 110, 194,  56, 111, 194,  55, 110, 193,  57, 112, 196,  57, 112, 197,
    55, 110, 194,  49, 100, 177,  44,  84, 155,  36,  64, 128,  17,  49, 109,  18,  53, 115,  26,  61, 123,  18,  60, 123,  19,  61, 125,  22,  70, 136,  20,  84, 156,  20,  90, 164,  11,  79, 151,   9,  74, 143,  24,  86, 154,  23,  86, 154,  18,  83, 155,  25,  89, 160,  13,  82, 152,   6,  75, 147,  13,  80, 150,
    16,  84, 157,  22,  89, 164,  35, 110, 193,  38, 116, 198,  29, 109, 187,  19, 100, 175,  23,  97, 172,  32, 102, 180,  36, 109, 189,  23,  94, 169,  15,  81, 152,  18,  82, 154,  29,  89, 163,  38,  99, 178,  34,  95, 171,  23,  80, 152,  27,  84, 157,  29,  86, 161,  35,  93, 168,  38,  95, 171,  31,  91, 170,
    37,  95, 175,  41,  98, 180,  52, 111, 194,  46, 109, 195,  51, 116, 202,  63, 127, 215,  55, 119, 205,  49, 112, 198,  50, 111, 196,  54, 116, 201,  59, 122, 210,  58, 122, 210,  58, 120, 206,  58, 118, 206,  46, 105, 188,  34,  94, 174,  37,  97, 177,  34,  94, 172,  28,  88, 164,  25,  82, 159,  31,  87, 162,
    30,  86, 163,  23,  79, 153,  19,  75, 145,  10,  58, 130,  17,  64, 135,  30,  78, 150,  28,  76, 148,  19,  62, 135,  18,  62, 134,  23,  66, 135,  26,  70, 139,  13,  51, 118,  10,  45, 102,  15,  51, 111,   8,  42,  98,   7,  34,  89,  10,  41,  95,  12,  43,  95,   5,  33,  80,   8,  35,  82,  10,  39,  85,
     4,  30,  78,  12,  39,  86,  16,  47,  95,  14,  48,  95,   7,  35,  79,   3,  27,  72,   5,  29,  75,   5,  31,  80,   7,  44,  94,   8,  42,  92,   8,  39,  89,   8,  41,  88,   5,  31,  72,   4,  21,  57,   4,  20,  54,   4,  13,  48,   3,  11,  43,   3,   8,  31,   3,   9,  29,   4,   8,  24,   2,   5,  18,
     4,   7,  25,   4,   8,  29,   4,  11,  39,   3,   6,  28,   2,   2,  17,   1,   3,  17,   2,   2,  20,   2,   2,  11,   1,   2,   8,   2,   4,  19,   4,   6,  28,   2,   4,  23,   3,   8,  32,   3,   6,  29,   4,  14,  51,   2,  18,  55,   4,  21,  57,   3,  10,  42,   4,  11,  45,   4,  18,  55,   3,  11,  46,
     3,  11,  47,   5,  11,  41,   4,  10,  42,   4,  14,  50,   3,  12,  46,   3,  10,  43,   2,  12,  46,   3,  21,  58,   4,  12,  46,   2,   7,  31,   3,   3,  17,   1,   2,  10,   1,   2,   8,   2,   3,  19,   3,   7,  28,   1,   2,  14,   1,   1,   9,   1,   3,  12,   1,   2,   4,   1,   2,   7,   3,   7,  26,
     2,  11,  38,   1,   2,  10,   1,   1,   2,   0,   2,   5,   1,   2,   9,   9,  50, 117,   9,  51, 116,   9,  51, 116,   8,  51, 116,  10,  53, 117,   9,  51, 116,  10,  51, 117,   8,  51, 116,   9,  52, 118,  11,  53, 119,  10,  52, 118,  10,  52, 118,   9,  52, 117,   8,  51, 116,   7,  49, 114,   7,  50, 115,
     9,  50, 118,   9,  52, 119,  10,  53, 120,  10,  55, 123,  10,  57, 125,  10,  59, 127,  12,  60, 131,  14,  63, 133,  19,  65, 138,  25,  72, 144,  26,  76, 149,  29,  78, 153,  32,  83, 158,  36,  87, 162,  37,  91, 165,  37,  92, 167,  38,  93, 170,  40,  95, 172,  40,  95, 171,  39,  94, 172,  37,  93, 170,
    40,  95, 172,  40,  95, 173,  42,  98, 176,  45, 101, 180,  45, 101, 181,  45, 102, 183,  46, 102, 183,  47, 103, 184,  46, 102, 184,  45, 102, 183,  44,  99, 180,  42,  98, 178,  44,  96, 176,  40,  94, 173,  37,  92, 171,  35,  89, 166,  31,  86, 163,  29,  84, 160,  28,  82, 158,  28,  84, 159,  31,  86, 163,
    29,  85, 162,  32,  87, 166,  33,  88, 166,  34,  88, 167,  34,  90, 167,  33,  88, 165,  36,  90, 167,  33,  87, 165,  35,  89, 167,  37,  91, 168,  37,  93, 171,  37,  92, 172,  39,  94, 174,  37,  94, 172,  35,  92, 170,  37,  93, 171,  40,  95, 173,  43,  96, 175,  42,  96, 176,  42,  96, 177,  44,  96, 178,
    45,  98, 178,  42,  96, 176,  42,  97, 177,  45, 101, 181,  45, 100, 181,  46, 101, 182,  45, 100, 182,  46, 101, 183,  44, 100, 182,  45, 100, 182,  45, 101, 182,  45, 100, 182,  46, 101, 183,  45, 101, 182,  45, 101, 181,  45, 100, 179,  45,  95, 172,  42,  82, 153,  38,  70, 137,  37,  71, 136,  35,  71, 134,
    22,  56, 117,  19,  55, 115,  25,  62, 124,  25,  66, 129,  19,  64, 126,  25,  73, 139,  25,  90, 164,  31, 103, 181,  25,  97, 173,  14,  81, 150,  30,  97, 167,  35, 102, 173,  28,  97, 169,  26,  96, 168,  18,  86, 156,   6,  77, 146,   8,  76, 145,  10,  77, 147,  19,  87, 158,  35, 112, 194,  48, 131, 221,
    50, 131, 220,  45, 122, 208,  31, 103, 181,  19,  95, 174,  33, 108, 188,  35, 111, 192,  21,  92, 166,  15,  83, 156,  36, 100, 177,  51, 127, 208,  43, 114, 194,  20,  80, 152,  10,  68, 139,  13,  69, 140,  15,  74, 143,  20,  76, 147,  33,  93, 169,  43, 100, 178,  37,  94, 173,  45, 101, 182,  50, 112, 194,
    53, 116, 201,  53, 117, 203,  47, 110, 198,  49, 111, 197,  46, 108, 190,  43, 104, 186,  50, 113, 200,  64, 135, 223,  68, 140, 228,  65, 134, 223,  58, 119, 207,  47, 105, 185,  47, 107, 187,  43, 102, 182,  33,  92, 170,  37,  95, 176,  42, 101, 180,  40,  98, 178,  31,  90, 166,  20,  74, 147,  16,  65, 136,
    22,  70, 142,  25,  73, 145,  22,  69, 142,  22,  69, 142,  25,  76, 148,  34,  87, 159,  20,  70, 141,  17,  62, 133,  23,  69, 138,  20,  64, 132,  16,  60, 127,  20,  62, 128,  14,  50, 108,  15,  50, 108,   8,  40,  95,   7,  35,  87,   9,  40,  90,   6,  35,  83,   7,  32,  81,   6,  27,  75,   6,  30,  76,
     4,  30,  76,   4,  25,  71,   4,  27,  72,   7,  35,  81,  15,  49,  99,   7,  39,  86,   3,  28,  75,   5,  36,  83,  11,  49,  96,   4,  28,  73,   5,  34,  79,   3,  27,  70,   4,  28,  72,   3,  24,  66,   4,  21,  62,   4,  31,  73,   3,  19,  59,   3,  15,  52,   4,  16,  51,   3,  10,  44,   3,   8,  37,
     3,   9,  37,   4,  13,  46,   3,  11,  37,   4,   8,  30,   2,   4,  18,   2,   4,  17,   2,   2,  14,   2,   2,  13,   2,   4,  23,   3,   7,  29,   3,   3,  27,   2,   5,  27,   2,   3,  26,   3,   5,  32,   4,  10,  38,   3,  13,  46,   4,  15,  53,   3,  15,  55,   3,  20,  57,   4,  16,  53,   4,  22,  62,
     3,  10,  45,   2,   4,  28,   4,   8,  43,   3,  17,  54,   3,  13,  46,   3,   3,  28,   3,   7,  31,   3,   3,  15,   1,   2,   7,   1,   2,  12,   3,   5,  22,   3,   3,  19,   2,   4,  18,   3,   5,  18,   2,   2,   2,   2,   2,   2,   2,   2,  13,   2,   4,  24,   1,   3,  13,   1,   1,   1,   1,   1,   3,
     1,   1,   4,   6,  46, 109,   5,  46, 109,   4,  44, 108,   4,  44, 108,   4,  45, 108,   4,  46, 109,   2,  45, 108,   4,  47, 109,   7,  48, 112,   5,  47, 112,   6,  48, 112,   5,  46, 110,   6,  47, 111,   5,  46, 109,   6,  47, 110,   4,  45, 110,   5,  48, 111,   9,  51, 116,  12,  55, 120,  12,  55, 123,
    16,  61, 127,  17,  63, 131,  17,  63, 134,  22,  68, 140,  26,  72, 144,  31,  76, 149,  31,  79, 154,  35,  84, 159,  38,  88, 164,  40,  90, 168,  42,  95, 170,  43,  97, 173,  45,  98, 175,  44,  99, 176,  43,  98, 175,  45,  99, 178,  46, 100, 177,  48, 100, 180,  48, 101, 180,  48, 101, 181,  50, 106, 187,
    50, 107, 187,  51, 108, 189,  53, 110, 191,  52, 108, 189,  50, 106, 188,  50, 106, 187,  47, 103, 183,  46, 102, 181,  42,  97, 176,  42,  96, 172,  38,  93, 169,  36,  89, 165,  29,  85, 160,  26,  82, 155,  25,  79, 153,  24,  79, 156,  25,  82, 156,  28,  83, 158,  31,  86, 161,  33,  87, 163,  32,  86, 163,
    34,  86, 163,  33,  86, 162,  32,  84, 161,  32,  85, 161,  31,  87, 163,  36,  89, 165,  34,  88, 164,  36,  90, 169,  37,  93, 171,  35,  92, 170,  35,  91, 170,  35,  89, 169,  39,  93, 173,  38,  93, 174,  39,  94, 174,  40,  94, 175,  40,  94, 175,  41,  95, 176,  38,  93, 173,  38,  93, 173,  42,  96, 176,
    40,  96, 176,  42,  98, 178,  42,  98, 179,  43,  99, 180,  44, 101, 182,  43,  99, 180,  41,  98, 178,  43,  99, 181,  42,  99, 180,  40,  97, 178,  42,  99, 178,  39,  91, 167,  35,  75, 143,  32,  55, 117,  28,  55, 118,  32,  68, 131,  39,  79, 142,  25,  66, 129,  17,  57, 117,  21,  62, 124,  26,  67, 129,
    24,  68, 130,  41,  90, 156,  49, 111, 190,  48, 115, 198,  36, 105, 181,  17,  84, 155,  16,  84, 156,  16,  85, 157,  18,  88, 159,  23,  94, 165,  11,  85, 155,   7,  79, 147,   9,  79, 148,  16,  83, 151,   8,  78, 147,  29, 104, 182,  51, 134, 223,  57, 146, 235,  50, 128, 214,  35, 104, 184,  23,  95, 173,
    40, 112, 195,  52, 127, 211,  34, 108, 188,  20,  88, 163,  27,  95, 174,  39, 109, 189,  40, 110, 189,  27,  87, 160,  14,  74, 145,  14,  74, 144,  14,  75, 146,  24,  86, 161,  49, 114, 196,  46, 108, 188,  24,  81, 157,  29,  87, 164,  46, 108, 190,  53, 117, 200,  48, 111, 196,  52, 115, 200,  55, 115, 201,
    42, 105, 186,  47, 108, 189,  45, 105, 188,  44, 104, 186,  49, 109, 192,  47, 105, 189,  39,  99, 180,  38,  98, 178,  52, 111, 192,  49, 107, 189,  39,  98, 177,  39,  98, 177,  47, 104, 183,  41,  99, 178,  36,  95, 171,  34,  92, 168,  39,  97, 175,  35,  89, 165,  39,  90, 164,  33,  87, 161,  27,  78, 152,
    21,  79, 149,  24,  79, 152,  24,  79, 152,  23,  79, 152,  35,  89, 162,  27,  74, 143,  21,  66, 135,  14,  57, 126,  24,  68, 135,  15,  56, 120,  11,  49, 112,  11,  50, 112,  19,  59, 120,   6,  38,  90,   4,  27,  78,   3,  22,  70,   5,  29,  77,   4,  30,  77,   5,  31,  81,   4,  32,  80,   5,  31,  80,
     9,  39,  87,   4,  29,  74,   6,  37,  82,   5,  38,  82,   6,  36,  81,   2,  24,  67,   4,  29,  70,   5,  37,  78,   3,  31,  74,   5,  30,  71,   4,  26,  68,   4,  28,  69,   5,  27,  69,   4,  23,  63,   4,  25,  67,   4,  19,  59,   3,  22,  60,   4,  17,  56,   4,  25,  66,   8,  30,  75,   5,  24,  67,
     4,  19,  59,   4,  19,  51,   3,   7,  27,   3,   5,  18,   4,   5,  19,   4,   4,  25,   2,   4,  24,   2,   3,  21,   2,   5,  34,   2,   3,  25,   3,   4,  27,   4,   8,  36,   4,  16,  52,   3,  21,  59,   4,  14,  48,   4,  18,  53,   4,  13,  46,   3,   7,  32,   2,   3,  16,   4,  11,  44,   4,  15,  51,
     2,  12,  45,   2,   5,  28,   3,  12,  40,   2,   3,  18,   1,   2,   7,   2,   2,  13,   2,   6,  27,   2,   4,  28,   2,   4,  24,   2,   3,  17,   0,   1,   0,   1,   1,   1,   2,   1,   3,   1,   3,  13,   2,   3,  16,   1,   2,   5,   1,   1,   2,   2,   1,   3,   3,  38,  97,   4,  40,  99,   4,  41, 103,
     4,  43, 103,   4,  43, 104,   4,  42, 104,   3,  42, 104,   3,  42, 103,   5,  44, 107,   4,  44, 106,   5,  44, 106,   5,  44, 106,   5,  43, 105,   4,  44, 104,   4,  42, 104,   3,  44, 106,   3,  46, 109,   7,  49, 114,  11,  53, 119,  14,  57, 124,  19,  61, 129,  21,  65, 133,  23,  67, 137,  26,  70, 139,
    29,  73, 145,  30,  75, 148,  30,  77, 151,  38,  85, 157,  36,  86, 161,  38,  88, 164,  39,  93, 168,  39,  93, 169,  42,  95, 171,  40,  96, 173,  42,  96, 173,  43,  97, 173,  44,  98, 174,  48, 100, 178,  48,  99, 178,  48, 101, 181,  48, 103, 183,  51, 106, 187,  52, 108, 189,  53, 108, 190,  51, 107, 188,
    49, 104, 186,  48, 102, 183,  45, 101, 180,  43,  99, 178,  42,  96, 173,  38,  93, 168,  37,  91, 165,  33,  87, 162,  29,  83, 157,  27,  81, 153,  23,  77, 149,  22,  77, 149,  19,  76, 151,  24,  80, 156,  28,  83, 158,  31,  83, 159,  34,  87, 162,  35,  87, 161,  33,  85, 161,  32,  83, 158,  35,  85, 160,
    34,  86, 160,  32,  84, 160,  33,  86, 163,  35,  90, 166,  36,  92, 169,  37,  91, 170,  34,  90, 168,  34,  90, 168,  37,  91, 171,  37,  93, 172,  38,  94, 173,  40,  94, 174,  42,  98, 176,  44,  97, 177,  42,  96, 176,  40,  96, 174,  42,  97, 177,  42,  97, 176,  41,  97, 176,  44,  99, 178,  43,  98, 178,
    45,  99, 180,  45, 101, 181,  45, 102, 183,  44, 100, 180,  43, 101, 180,  43, 101, 179,  38,  92, 169,  32,  77, 145,  30,  63, 124,  28,  56, 117,  30,  59, 122,  24,  62, 125,  30,  75, 135,  29,  72, 133,  20,  60, 120,  26,  70, 133,  28,  73, 138,  20,  66, 132,  20,  66, 131,  24,  79, 148,  20,  80, 150,
    14,  77, 145,  10,  74, 142,   8,  75, 144,  11,  78, 147,  13,  81, 151,  16,  88, 158,  20,  95, 167,  14,  87, 157,   5,  72, 141,   6,  71, 139,   7,  74, 144,  17,  85, 155,  33, 101, 179,  44, 113, 196,  41, 109, 192,  33,  99, 177,  29,  95, 172,  42, 111, 194,  55, 128, 214,  44, 117, 197,  30,  99, 176,
    25,  95, 171,  23,  93, 171,  29,  97, 174,  30,  95, 171,  24,  90, 164,  22,  87, 162,  32,  97, 173,  50, 125, 210,  68, 157, 246,  57, 136, 220,  20,  79, 154,  15,  76, 151,  34, 100, 178,  45, 109, 191,  41, 104, 186,  53, 114, 198,  56, 119, 205,  43, 107, 190,  46, 108, 189,  45, 106, 187,  37,  96, 176,
    42,  99, 181,  43, 101, 182,  43, 100, 180,  43, 102, 183,  48, 107, 189,  52, 116, 198,  42, 100, 179,  36,  94, 172,  45, 102, 180,  41, 100, 179,  44, 107, 188,  48, 110, 194,  49, 107, 192,  50, 105, 188,  39,  93, 170,  38,  96, 172,  39,  97, 172,  21,  77, 149,  21,  78, 151,  29,  87, 161,  20,  76, 151,
    38,  92, 168,  37,  90, 162,  17,  67, 137,  15,  60, 130,  17,  63, 132,  19,  62, 129,  18,  58, 123,  13,  54, 120,  13,  55, 118,  14,  58, 122,   8,  47, 107,   7,  43, 100,  10,  47, 102,   5,  35,  88,   8,  41,  95,  13,  46, 100,   8,  38,  91,   3,  28,  77,   5,  31,  79,   4,  33,  78,   5,  35,  79,
     3,  30,  74,   3,  26,  69,   5,  30,  73,   6,  34,  76,   4,  25,  68,   3,  28,  69,   5,  29,  69,   5,  25,  64,   4,  24,  62,   3,  23,  63,   4,  27,  68,   3,  19,  59,   4,  27,  67,   5,  31,  71,   4,  23,  64,   3,  28,  68,   4,  25,  64,   4,  22,  59,   4,  18,  54,   2,  15,  51,   4,  20,  56,
     5,  21,  55,   4,  17,  53,   3,  15,  51,   3,  15,  47,   3,  10,  38,   3,  11,  33,   2,   6,  28,   3,   5,  31,   2,   6,  37,   4,   8,  42,   3,   6,  38,   3,   7,  36,   2,   3,  22,   1,   1,  13,   1,   2,  11,   3,  10,  32,   3,   9,  39,   2,  13,  46,   3,   5,  29,   3,   4,  23,   3,   6,  20,
     1,   2,   6,   1,   2,  10,   2,   3,  21,   2,   4,  25,   4,   5,  27,   2,   3,  16,   1,   1,   0,   1,   1,   1,   2,   2,   3,   1,   1,   7,   2,   3,  16,   2,   3,  14,   1,   2,   5,   2,   2,   6,   2,  34,  91,   3,  37,  95,   4,  38,  96,   4,  39,  97,   3,  38,  97,   3,  40,  98,   3,  38,  99,
     3,  38, 100,   3,  39, 101,   2,  39, 101,   4,  41, 102,   3,  40, 101,   3,  38,  99,   4,  42, 102,   5,  44, 104,   5,  45, 107,   4,  45, 107,   5,  48, 111,   9,  51, 116,  13,  56, 121,  17,  59, 125,  19,  62, 129,  22,  64, 133,  27,  68, 138,  28,  73, 144,  28,  73, 145,  29,  76, 149,  32,  78, 151,
    30,  80, 152,  31,  79, 154,  32,  81, 156,  33,  83, 158,  34,  85, 160,  35,  87, 163,  35,  87, 164,  37,  88, 165,  39,  90, 166,  38,  90, 166,  40,  92, 168,  41,  94, 171,  43,  95, 175,  44,  98, 177,  45,  99, 178,  46,  98, 179,  46,  98, 178,  43,  94, 176,  41,  93, 173,  38,  93, 171,  39,  93, 170,
    36,  88, 164,  34,  86, 160,  31,  82, 157,  29,  80, 153,  25,  77, 149,  21,  75, 146,  20,  74, 145,  21,  74, 146,  24,  77, 149,  26,  78, 152,  27,  80, 152,  27,  80, 155,  30,  82, 157,  30,  82, 156,  30,  82, 157,  29,  81, 157,  32,  83, 158,  31,  83, 158,  33,  85, 160,  30,  83, 160,  31,  84, 162,
    30,  87, 165,  33,  88, 167,  35,  90, 169,  36,  91, 171,  38,  93, 173,  39,  95, 175,  41,  96, 175,  43,  97, 176,  45,  99, 178,  44,  97, 177,  42,  96, 175,  44,  97, 176,  43,  97, 176,  44,  97, 177,  41,  96, 177,  44,  98, 178,  44,  99, 179,  47, 101, 181,  47, 104, 182,  47, 103, 184,  48, 105, 183,
    44, 103, 181,  39,  94, 169,  35,  77, 146,  27,  61, 124,  24,  58, 118,  24,  57, 118,  24,  58, 120,  17,  58, 121,  19,  65, 126,  16,  62, 123,  16,  59, 120,  31,  86, 154,  48, 112, 190,  32,  95, 166,   9,  56, 117,   0,  41, 100,   2,  43, 103,   2,  47, 108,   4,  55, 116,   5,  66, 131,   5,  63, 128,
     3,  54, 119,   5,  73, 141,  18,  95, 167,  21,  95, 165,   5,  68, 137,   3,  63, 132,  11,  77, 145,  14,  80, 148,   9,  66, 131,  11,  64, 128,  17,  70, 136,  15,  77, 147,  17,  85, 158,  30,  98, 177,  37, 104, 185,  24,  93, 170,  28,  95, 170,  30,  98, 173,  24,  92, 170,  28,  95, 172,  37, 107, 186,
    37, 107, 188,  38, 108, 190,  46, 117, 200,  50, 125, 212,  59, 139, 225,  47, 121, 206,  22,  87, 161,  18,  83, 159,  21,  90, 169,  29,  96, 176,  20,  85, 162,  28,  89, 166,  46, 111, 195,  46, 110, 192,  41, 104, 184,  39, 101, 179,  35,  95, 174,  46, 103, 182,  46, 104, 183,  42,  99, 179,  46, 104, 184,
    51, 111, 190,  51, 114, 195,  37,  95, 173,  22,  82, 157,  31,  88, 164,  37,  97, 176,  49, 113, 194,  55, 121, 206,  45, 107, 190,  46, 103, 185,  45, 102, 180,  37,  94, 169,  41,  98, 174,  34,  92, 168,  30,  89, 164,  32,  90, 165,  31,  88, 163,  29,  85, 161,  37,  92, 165,  23,  76, 146,  19,  70, 141,
    20,  71, 142,  25,  74, 144,  21,  68, 137,  19,  65, 133,  17,  64, 129,  13,  59, 126,   9,  53, 117,  11,  55, 119,  14,  59, 122,  10,  48, 110,   8,  43, 101,  10,  45, 102,   4,  36,  91,   6,  38,  91,  10,  41,  93,   3,  29,  79,   4,  35,  80,   3,  25,  69,   3,  24,  68,   4,  29,  71,   4,  24,  67,
     3,  20,  63,   3,  25,  66,   4,  23,  64,   4,  25,  64,   4,  24,  63,   3,  22,  62,   5,  28,  69,   5,  24,  63,   3,  22,  61,   3,  23,  62,   3,  17,  56,   3,  20,  58,   4,  21,  58,   3,  24,  59,   3,  16,  51,   3,  12,  45,   4,  20,  55,   5,  26,  64,   7,  33,  73,   5,  25,  62,   3,  25,  63,
     4,  17,  55,   4,  23,  60,   2,  13,  48,   3,  12,  46,   4,  10,  42,   3,   8,  40,   3,  12,  45,   4,  13,  44,   2,   6,  31,   2,   4,  21,   2,   4,  20,   2,   2,  14,   2,   3,  25,   2,   5,  29,   2,   4,  24,   3,   4,  22,   2,   5,  20,   2,   1,  10,   1,   1,   9,   2,   3,  16,   2,   2,  14,
     2,   2,  16,   2,   3,  19,   1,   3,   9,   1,   1,   2,   1,   1,   3,   1,   2,   5,   2,   3,  10,   1,   2,   8,   1,   1,   4,   1,   1,   2,   2,  31,  86,   3,  33,  88,   2,  35,  90,   2,  34,  90,   4,  36,  92,   3,  34,  91,   3,  35,  92,   3,  36,  94,   3,  37,  95,   2,  38,  96,   3,  38,  99,
     3,  39,  99,   3,  38,  98,   4,  41, 102,   4,  42, 103,   4,  43, 105,   3,  44, 105,   5,  47, 109,   6,  49, 111,   9,  52, 116,  13,  55, 121,  16,  59, 124,  18,  61, 128,  20,  62, 131,  21,  65, 133,  23,  66, 136,  22,  66, 137,  24,  68, 139,  26,  70, 141,  27,  71, 141,  24,  70, 140,  25,  70, 143,
    23,  71, 142,  25,  74, 146,  25,  75, 148,  26,  76, 149,  31,  81, 153,  30,  81, 153,  31,  81, 154,  32,  81, 156,  34,  82, 157,  35,  86, 159,  37,  88, 162,  38,  87, 164,  38,  88, 164,  35,  83, 159,  34,  84, 159,  32,  83, 157,  29,  82, 154,  29,  81, 154,  26,  78, 149,  24,  75, 147,  21,  73, 144,
    19,  70, 142,  17,  70, 141,  17,  70, 142,  20,  74, 146,  20,  76, 146,  22,  78, 149,  24,  78, 150,  25,  78, 150,  29,  80, 153,  30,  81, 154,  29,  80, 156,  31,  81, 155,  30,  81, 155,  30,  81, 156,  31,  83, 158,  34,  86, 161,  35,  88, 163,  31,  88, 164,  36,  91, 169,  37,  92, 170,  36,  92, 171,
    39,  93, 172,  39,  94, 173,  44,  98, 176,  44,  98, 176,  45,  97, 175,  45,  97, 175,  42,  95, 174,  47,  98, 176,  46,  98, 175,  44,  98, 177,  42,  97, 176,  43,  97, 176,  45,  99, 178,  46, 100, 179,  47, 102, 180,  46, 102, 181,  49, 104, 183,  41,  95, 173,  37,  77, 143,  30,  64, 127,  25,  59, 123,
    23,  57, 120,  22,  57, 120,  21,  60, 120,  18,  59, 121,  20,  64, 126,  19,  63, 124,  11,  55, 116,  29,  85, 150,  48, 113, 191,  30,  94, 166,  11,  62, 122,   5,  52, 113,   5,  55, 114,   4,  49, 109,   3,  45, 105,   3,  58, 120,   4,  54, 118,   1,  39, 103,   4,  67, 133,   9,  89, 159,   9,  80, 149,
     6,  68, 137,   5,  65, 129,   6,  67, 132,   8,  65, 128,   6,  52, 110,   3,  44,  98,   5,  47, 103,  11,  67, 133,  23,  92, 165,  30,  97, 173,  18,  86, 159,   6,  72, 141,  10,  77, 147,  19,  87, 158,  13,  81, 155,  21,  88, 161,  40, 109, 188,  43, 115, 196,  51, 124, 207,  60, 140, 228,  57, 133, 220,
    44, 110, 196,  37, 107, 191,  32, 101, 181,  28,  97, 177,  30,  98, 178,  34, 102, 181,  29,  96, 174,  24,  86, 165,  30,  98, 179,  27,  93, 174,  13,  82, 159,  22,  89, 165,  29,  93, 171,  28,  90, 167,  29,  89, 165,  25,  86, 162,  32,  92, 168,  37,  98, 173,  30,  89, 164,  27,  84, 158,  24,  80, 152,
    30,  85, 159,  38,  96, 173,  46, 108, 188,  56, 122, 206,  52, 116, 200,  40,  97, 178,  37,  95, 174,  32,  90, 166,  38,  96, 172,  36,  97, 172,  38,  96, 172,  30,  88, 163,  32,  89, 162,  27,  84, 158,  26,  82, 156,  17,  72, 144,  29,  82, 155,  26,  80, 152,  26,  78, 149,  21,  71, 140,  21,  72, 140,
    26,  77, 146,  17,  66, 134,  17,  67, 138,  19,  69, 137,  19,  69, 138,  20,  67, 134,  18,  61, 127,   8,  46, 107,   9,  46, 103,   9,  45, 102,   7,  41,  97,   8,  42,  97,   8,  39,  91,   3,  31,  80,   6,  33,  81,   4,  26,  72,   2,  19,  64,   2,  22,  65,   3,  23,  65,   2,  20,  59,   2,  18,  55,
     3,  22,  59,   4,  25,  64,   5,  25,  66,   3,  23,  62,   3,  22,  60,   2,  21,  57,   2,  18,  54,   3,  16,  51,   4,  17,  52,   4,  19,  55,   3,  16,  49,   3,   8,  41,   3,  11,  45,   4,  17,  53,   3,  11,  46,   4,  15,  49,   3,  16,  50,   3,  18,  54,   3,  16,  52,   3,  12,  46,   3,  15,  49,
     3,  14,  46,   4,  14,  47,   3,  15,  47,   2,  11,  44,   3,  15,  48,   3,  12,  43,   4,  14,  44,   4,   9,  36,   2,   4,  23,   2,   3,  19,   2,   2,  20,   2,   3,  20,   2,   3,  18,   1,   3,  14,   2,   2,  10,   2,   2,  11,   1,   3,   9,   1,   2,  11,   2,   4,  22,   4,   8,  27,   2,   2,   7,
     1,   2,   8,   1,   2,   4,   1,   1,   2,   1,   1,   1,   1,   0,   1,   1,   1,   2,   2,  30,  82,   2,  32,  85,   2,  31,  85,   2,  32,  86,   2,  32,  87,   3,  33,  89,   2,  34,  89,   2,  36,  90,   2,  34,  91,   2,  36,  94,   2,  37,  95,   2,  38,  96,   3,  40,  98,   4,  41, 102,   4,  42, 102,
     4,  43, 103,   4,  45, 105,   5,  46, 107,   5,  47, 108,   5,  47, 110,   7,  50, 112,  10,  52, 115,   9,  52, 116,  11,  54, 119,  12,  56, 121,  15,  57, 124,  14,  59, 124,  16,  59, 124,  17,  59, 126,  16,  59, 125,  15,  60, 126,  14,  59, 129,  13,  62, 132,  13,  64, 135,  15,  65, 137,  18,  68, 140,
    20,  70, 141,  23,  73, 145,  22,  72, 144,  21,  72, 143,  23,  72, 144,  27,  76, 147,  25,  75, 146,  27,  75, 147,  28,  76, 148,  26,  75, 147,  26,  74, 146,  23,  73, 145,  22,  73, 144,  24,  75, 146,  20,  72, 144,  19,  71, 143,  20,  73, 144,  19,  72, 142,  19,  71, 142,  20,  71, 142,  22,  74, 145,
    22,  77, 146,  19,  75, 146,  20,  74, 147,  24,  76, 148,  26,  78, 149,  28,  80, 151,  30,  81, 154,  30,  82, 156,  28,  79, 154,  28,  81, 156,  28,  82, 156,  31,  84, 159,  32,  84, 160,  31,  85, 162,  33,  87, 164,  35,  89, 167,  35,  91, 168,  37,  91, 169,  38,  92, 170,  40,  93, 171,  43,  94, 170,
    43,  93, 170,  43,  93, 172,  44,  94, 172,  45,  96, 173,  48,  98, 174,  48,  99, 177,  47,  98, 177,  44,  96, 177,  44,  96, 176,  43,  97, 176,  42,  95, 175,  46,  98, 177,  47,  96, 175,  40,  89, 163,  34,  67, 131,  27,  60, 123,  29,  64, 125,  23,  59, 122,  21,  59, 120,  15,  58, 117,  20,  63, 124,
    24,  70, 131,  17,  62, 123,   8,  51, 109,   7,  50, 107,  11,  60, 121,   6,  52, 111,   2,  52, 112,   3,  54, 114,   5,  58, 117,   4,  48, 108,   2,  42, 105,   2,  57, 120,   3,  65, 126,   3,  58, 122,   8,  81, 149,  14,  92, 162,   4,  71, 138,   3,  59, 127,   4,  63, 127,   3,  52, 114,   2,  43, 100,
     3,  42,  96,   3,  37,  90,   3,  36,  90,   6,  54, 115,  22,  91, 162,  30, 102, 178,  18,  87, 159,   4,  68, 136,   8,  73, 142,   8,  72, 140,   8,  72, 141,  16,  80, 149,  27,  95, 168,  30,  97, 176,  40, 109, 189,  54, 132, 217,  55, 132, 217,  44, 113, 197,  50, 123, 210,  52, 126, 212,  38, 108, 189,
    34, 102, 182,  37, 108, 188,  45, 126, 211,  52, 145, 229,  54, 142, 228,  41, 112, 198,  20,  90, 168,  26,  93, 170,  29,  95, 171,  19,  85, 163,  19,  84, 159,  21,  85, 159,  21,  85, 159,  23,  85, 157,  18,  77, 150,  16,  74, 146,  19,  73, 144,  26,  80, 151,  37,  93, 168,  42, 101, 178,  47, 106, 185,
    41, 100, 181,  35,  92, 172,  31,  89, 167,  28,  86, 163,  29,  87, 164,  33,  93, 169,  36,  95, 170,  28,  86, 162,  25,  83, 157,  28,  84, 158,  31,  87, 160,  34,  91, 163,  38,  94, 168,  29,  83, 155,  23,  74, 145,  27,  78, 146,  24,  74, 143,  26,  78, 148,  18,  68, 138,  17,  68, 136,  24,  71, 139,
    25,  73, 140,  23,  70, 137,  20,  65, 132,  14,  59, 125,  24,  75, 141,  23,  70, 138,   7,  43, 105,  10,  46, 106,  10,  46, 104,  11,  49, 110,  12,  51, 114,   6,  37,  91,   4,  30,  80,   4,  31,  78,   3,  29,  76,   5,  30,  76,   5,  26,  71,   2,  17,  59,   3,  20,  62,   4,  22,  65,   2,  19,  61,
     3,  22,  62,   4,  25,  62,   3,  21,  57,   2,  19,  55,   4,  22,  59,   8,  31,  67,   3,  22,  55,   2,  16,  49,   3,  16,  48,   2,  13,  47,   3,  15,  49,   3,  14,  47,   3,  12,  44,   4,  22,  55,   5,  24,  59,   2,  10,  43,   2,  10,  41,   3,   9,  40,   2,   7,  37,   2,   9,  40,   4,  17,  49,
     3,  19,  52,   4,  12,  44,   4,  16,  47,   3,  15,  43,   2,   7,  33,   3,   9,  35,   3,   7,  34,   3,   7,  34,   3,   7,  33,   2,   6,  31,   3,   5,  28,   3,   4,  25,   2,   6,  28,   3,   5,  25,   2,   3,  22,   2,   3,  20,   1,   3,  14,   1,   3,  15,   1,   2,  10,   1,   3,   9,   2,   1,   9,
     2,   1,   7,   1,   1,   5,   2,  30,  81,   2,  30,  82,   2,  31,  83,   1,  30,  84,   3,  33,  86,   2,  33,  86,   2,  32,  87,   2,  32,  87,   2,  31,  88,   2,  36,  90,   4,  37,  94,   2,  37,  94,   3,  41,  99,   4,  40, 100,   6,  43, 101,   4,  43, 102,   3,  43, 103,   5,  44, 104,   5,  45, 104,
     3,  42, 104,   4,  44, 106,   5,  47, 108,   5,  46, 108,   6,  48, 111,   7,  49, 114,   8,  51, 116,   9,  54, 116,   9,  50, 116,   9,  50, 114,   9,  51, 116,  10,  54, 120,   7,  55, 122,   6,  55, 126,   9,  60, 130,  10,  61, 131,  11,  62, 133,  14,  65, 135,  13,  65, 135,  15,  66, 136,  16,  66, 137,
    16,  67, 139,  18,  68, 140,  20,  70, 142,  19,  70, 141,  19,  69, 140,  19,  68, 139,  19,  68, 139,  19,  68, 140,  20,  71, 142,  23,  74, 146,  23,  75, 146,  23,  74, 146,  26,  76, 148,  22,  74, 145,  17,  71, 142,  22,  73, 144,  23,  77, 146,  20,  74, 145,  20,  74, 145,  19,  73, 145,  26,  78, 149,
    23,  76, 147,  27,  79, 150,  28,  80, 152,  29,  82, 154,  29,  84, 157,  29,  83, 156,  30,  84, 157,  30,  84, 158,  27,  83, 157,  29,  82, 159,  29,  84, 159,  30,  85, 160,  30,  84, 160,  32,  85, 161,  35,  86, 162,  36,  87, 163,  38,  89, 166,  40,  89, 166,  41,  91, 168,  44,  94, 171,  44,  95, 172,
    46,  97, 175,  44,  98, 175,  47,  99, 178,  44,  98, 178,  42,  95, 175,  45,  97, 176,  43,  94, 174,  44,  94, 171,  41,  87, 159,  37,  77, 144,  31,  65, 127,  25,  59, 119,  23,  58, 119,  25,  60, 121,  16,  54, 116,   6,  50, 112,   6,  52, 114,   7,  59, 122,   7,  57, 118,   3,  45, 104,   1,  34,  90,
     2,  37,  93,   5,  49, 106,   4,  56, 115,   4,  53, 114,   2,  53, 113,   3,  54, 114,   3,  55, 117,   4,  57, 122,   2,  60, 124,   3,  62, 127,   7,  77, 143,  13,  87, 154,   6,  69, 135,   4,  63, 127,   5,  64, 128,   3,  55, 115,   4,  49, 105,   2,  45,  98,   3,  36,  89,   2,  34,  87,   3,  34,  89,
     5,  57, 118,   5,  75, 141,   6,  72, 138,   4,  64, 130,   8,  70, 136,   4,  63, 132,   4,  64, 132,   9,  74, 142,  16,  82, 151,  20,  88, 163,  33, 102, 182,  35, 105, 186,  31, 102, 182,  32, 104, 186,  48, 123, 208,  48, 125, 210,  37, 106, 189,  35, 103, 183,  41, 111, 193,  56, 147, 235,  66, 192, 255,
    63, 184, 254,  52, 133, 223,  27, 101, 180,  27,  98, 175,  24,  94, 171,  26,  96, 173,  32, 103, 182,  32, 101, 179,  24,  90, 167,  24,  87, 163,  24,  86, 161,  20,  80, 153,  10,  64, 135,  13,  67, 138,  18,  74, 145,  26,  79, 152,  31,  81, 154,  36,  88, 165,  41,  99, 176,  43, 101, 176,  36,  92, 169,
    40,  96, 172,  41,  98, 173,  37,  97, 173,  35,  95, 174,  28,  87, 162,  19,  76, 147,  22,  79, 148,  25,  80, 151,  32,  87, 160,  29,  83, 156,  22,  76, 146,  18,  70, 140,  14,  66, 135,  25,  80, 150,  33,  89, 159,  25,  76, 147,  14,  62, 132,  20,  68, 136,  15,  63, 130,  14,  60, 127,  15,  61, 127,
    18,  66, 132,  18,  65, 132,  14,  57, 125,  21,  65, 131,  22,  66, 132,  23,  67, 134,  10,  53, 118,  10,  54, 118,  11,  56, 117,   4,  39,  94,   4,  36,  90,  11,  48, 108,  14,  53, 115,   4,  31,  81,   3,  23,  70,   3,  25,  70,   4,  26,  69,   1,  20,  64,   3,  22,  63,   2,  17,  56,   3,  12,  49,
     1,  10,  45,   3,  14,  48,   3,  15,  50,   3,  17,  52,   3,  21,  55,   3,  16,  50,   2,  17,  50,   3,  12,  45,   2,  11,  43,   2,  15,  48,   2,  11,  46,   3,   9,  40,   2,   6,  35,   3,  11,  41,   2,  13,  43,   3,  14,  45,   3,  11,  41,   2,  11,  41,   4,   9,  39,   3,   9,  37,   2,   7,  33,
     2,   4,  31,   2,   6,  33,   3,   8,  34,   2,   7,  35,   3,   8,  37,   2,   5,  33,   3,   7,  35,   3,   9,  36,   2,   6,  30,   2,   6,  30,   2,   8,  32,   2,   5,  27,   2,   4,  25,   2,   5,  28,   3,   6,  28,   3,   6,  26,   3,   3,  22,   2,   3,  20,   2,   2,  16,   2,  29,  81,   3,  30,  81,
     2,  28,  79,   2,  29,  81,   2,  29,  82,   3,  31,  83,   2,  29,  83,   2,  29,  83,   2,  29,  85,   2,  33,  88,   3,  35,  91,   2,  36,  93,   2,  37,  95,   2,  37,  96,   3,  40,  99,   5,  42, 102,   4,  41, 102,   3,  40, 100,   3,  40,  99,   3,  41, 101,   3,  43, 104,   4,  45, 106,   5,  45, 107,
     5,  47, 109,   5,  47, 110,   6,  48, 111,   6,  48, 111,   8,  50, 113,   7,  50, 112,   6,  49, 112,   9,  51, 116,   8,  52, 118,   6,  54, 122,   8,  59, 127,   9,  60, 130,   9,  62, 132,  11,  63, 133,  12,  63, 134,  13,  64, 133,  15,  66, 135,  13,  65, 135,  16,  67, 137,  16,  67, 137,  16,  67, 138,
    17,  67, 138,  16,  67, 137,  21,  67, 139,  20,  69, 139,  21,  72, 141,  23,  73, 144,  21,  73, 144,  20,  73, 144,  22,  74, 145,  20,  72, 143,  17,  70, 142,  20,  73, 144,  21,  76, 146,  18,  73, 143,  18,  72, 143,  21,  75, 144,  23,  75, 145,  18,  74, 145,  26,  79, 150,  26,  80, 151,  28,  82, 154,
    29,  84, 155,  29,  84, 155,  27,  83, 155,  26,  82, 154,  28,  82, 156,  27,  83, 156,  27,  83, 157,  27,  81, 155,  26,  80, 153,  26,  80, 154,  28,  82, 156,  26,  81, 156,  31,  84, 160,  33,  85, 161,  37,  87, 164,  41,  92, 168,  40,  92, 168,  43,  95, 172,  47,  98, 176,  46,  99, 177,  48,  99, 177,
    44,  98, 175,  45,  98, 177,  42,  95, 172,  39,  87, 161,  31,  71, 135,  26,  58, 117,  20,  52, 114,  16,  50, 108,  15,  49, 105,  16,  52, 107,  20,  60, 118,  14,  69, 132,   7,  63, 125,   4,  61, 123,   5,  57, 119,   4,  49, 107,   2,  37,  92,   2,  37,  94,   5,  48, 104,   5,  54, 113,   3,  55, 115,
     3,  54, 114,   4,  59, 119,   4,  59, 121,   3,  61, 124,   3,  62, 128,   3,  62, 128,   3,  60, 126,   2,  55, 118,   3,  56, 118,   5,  62, 124,   5,  61, 125,   5,  55, 114,   3,  47, 101,   4,  44,  97,   2,  39,  92,   3,  42,  96,   2,  34,  89,   3,  32,  90,   4,  46, 103,   3,  47, 105,   4,  55, 117,
     3,  57, 118,   3,  55, 118,   3,  59, 124,   6,  66, 132,   6,  73, 142,  27, 100, 177,  48, 129, 214,  39, 119, 202,  17,  92, 168,  11,  88, 165,  21,  96, 174,  24,  99, 181,  28,  99, 181,  35, 105, 186,  33, 102, 182,  45, 122, 206,  59, 159, 242,  58, 160, 242,  50, 126, 216,  40, 115, 197,  39, 114, 194,
    32, 102, 182,  27,  97, 175,  32, 102, 180,  30, 102, 181,  30, 102, 182,  37, 107, 190,  42, 116, 198,  31, 102, 182,  22,  80, 153,  13,  68, 137,   8,  63, 133,   8,  59, 128,   9,  53, 119,  14,  58, 124,  19,  68, 136,  22,  73, 142,  22,  79, 150,  34,  92, 167,  38,  94, 170,  42, 100, 178,  47, 110, 191,
    39,  99, 177,  24,  79, 149,  21,  75, 146,  21,  77, 148,  26,  82, 152,  24,  79, 150,  13,  68, 139,   9,  64, 134,  16,  68, 137,  25,  79, 149,  33,  87, 158,  25,  78, 149,  19,  66, 138,  24,  72, 141,  18,  66, 131,  18,  65, 130,  18,  64, 130,  14,  62, 128,  16,  65, 131,  18,  68, 134,  15,  60, 128,
     8,  54, 121,  13,  58, 123,  14,  61, 126,  17,  67, 135,  16,  69, 134,   7,  45, 103,   3,  37,  94,   6,  41,  98,   3,  38,  96,   3,  33,  89,   3,  28,  82,   3,  33,  85,   4,  33,  84,   3,  27,  76,   3,  32,  84,   4,  33,  83,   2,  22,  66,   2,  19,  58,   2,  14,  51,   2,  11,  48,   2,  12,  48,
     2,  12,  48,   3,  15,  52,   4,  22,  59,   2,  14,  49,   3,  13,  48,   4,  20,  55,   3,  20,  53,   2,  10,  42,   2,   7,  35,   3,   9,  41,   3,  11,  39,   2,  10,  39,   2,   8,  37,   3,   6,  35,   2,  10,  39,   3,  17,  47,   4,  16,  46,   3,   8,  36,   2,   6,  30,   3,   6,  32,   2,   8,  33,
     3,  13,  40,   3,   6,  33,   2,   9,  37,   3,  10,  39,   2,   7,  32,   3,   9,  35,   3,   9,  36,   2,   6,  31,   2,   4,  26,   2,   4,  25,   2,   6,  28,   3,   8,  29,   2,   4,  22,   3,   4,  21,   1,   2,  17,   3,  28,  78,   2,  28,  78,   2,  26,  76,   2,  27,  80,   2,  28,  79,   2,  29,  82,
     2,  28,  82,   2,  28,  82,   2,  28,  82,   2,  29,  84,   2,  33,  88,   2,  34,  90,   2,  35,  93,   3,  39,  95,   3,  40,  98,   4,  41, 101,   4,  43, 103,   2,  40, 100,   3,  40,  99,   3,  40, 100,   3,  41, 102,   3,  43, 104,   5,  45, 105,   3,  44, 106,   4,  47, 109,   5,  47, 108,   6,  48, 110,
     7,  48, 111,   7,  49, 111,   5,  47, 110,   7,  50, 114,   6,  50, 113,   5,  52, 118,   6,  57, 123,   6,  57, 126,   6,  59, 129,  10,  62, 131,  11,  63, 133,  13,  64, 133,  13,  64, 132,  15,  67, 136,  16,  67, 136,  16,  67, 137,  19,  70, 140,  21,  70, 140,  20,  68, 139,  23,  69, 140,  23,  71, 141,
    26,  74, 143,  26,  75, 145,  23,  74, 145,  22,  73, 145,  21,  73, 144,  22,  74, 144,  21,  73, 144,  22,  74, 145,  20,  74, 144,  20,  73, 144,  20,  73, 143,  22,  73, 145,  21,  73, 145,  20,  75, 146,  24,  78, 149,  22,  78, 150,  26,  81, 153,  26,  81, 153,  25,  81, 153,  29,  83, 155,  29,  84, 157,
    30,  84, 158,  27,  82, 156,  26,  81, 155,  27,  81, 153,  28,  80, 152,  27,  78, 151,  26,  78, 150,  28,  81, 154,  27,  81, 156,  32,  86, 160,  34,  87, 162,  35,  90, 165,  36,  91, 166,  39,  94, 169,  43,  95, 173,  44,  96, 176,  44,  99, 178,  45,  99, 176,  42,  96, 174,  42,  92, 167,  30,  76, 143,
    19,  54, 114,  24,  57, 116,  24,  56, 115,  19,  54, 109,   7,  43,  99,   8,  44,  98,  10,  49, 107,  11,  66, 128,   8,  68, 131,   9,  68, 130,   5,  61, 121,   7,  55, 113,   4,  46, 102,   3,  39,  95,   3,  43, 100,   2,  46, 105,   4,  47, 106,   4,  44, 105,   4,  49, 106,   3,  50, 109,   3,  58, 123,
     5,  71, 137,   4,  71, 137,   4,  66, 130,   3,  56, 119,   3,  52, 114,   3,  45, 107,   3,  47, 107,   4,  47, 105,   2,  40,  95,   2,  35,  90,   2,  37,  93,   3,  44,  99,   3,  43,  99,   3,  43, 102,   4,  44, 101,   3,  41, 101,   3,  41, 100,   3,  47, 107,   3,  49, 111,   3,  56, 117,   3,  58, 123,
     9,  77, 146,  30, 114, 194,  48, 135, 218,  36, 118, 200,  10,  84, 157,  14,  88, 163,  18,  91, 167,  31, 107, 187,  44, 117, 199,  35, 105, 186,  26,  96, 174,  31,  98, 177,  44, 112, 199,  47, 118, 204,  41, 112, 199,  48, 122, 206,  48, 125, 208,  40, 111, 190,  30,  98, 176,  26,  96, 174,  28,  99, 178,
    36, 108, 188,  43, 117, 199,  44, 117, 198,  36, 107, 186,  29,  97, 175,  21,  87, 161,  19,  82, 154,  18,  78, 149,  11,  63, 133,   8,  53, 118,   4,  49, 115,   7,  52, 118,  15,  70, 139,  25,  85, 159,  29,  86, 162,  34,  90, 166,  36,  91, 167,  31,  84, 158,  28,  80, 149,  24,  76, 146,  28,  81, 151,
    24,  79, 148,  22,  75, 145,  23,  76, 145,  18,  72, 143,  20,  74, 142,  18,  74, 145,  23,  74, 144,  28,  81, 153,  37,  92, 165,  40,  97, 171,  25,  74, 143,  17,  65, 130,  19,  66, 131,  13,  62, 129,  19,  67, 132,  21,  71, 137,  17,  66, 134,  12,  59, 128,  16,  60, 126,  16,  62, 128,  15,  60, 127,
     7,  50, 113,   7,  47, 105,   5,  43, 101,  10,  47, 104,   4,  38,  97,   5,  40,  97,   4,  37,  92,   4,  41,  96,   3,  40,  96,   4,  38,  94,   3,  35,  88,   2,  35,  87,   4,  34,  88,   4,  33,  84,   3,  26,  75,   2,  25,  71,   3,  20,  62,   3,  21,  63,   2,  21,  63,   2,  18,  58,   3,  16,  54,
     2,  13,  49,   3,  13,  50,   2,  15,  50,   2,  12,  46,   3,   9,  40,   3,   9,  40,   3,  12,  41,   4,  11,  40,   2,   7,  35,   2,   5,  32,   3,   5,  33,   2,   9,  39,   2,  15,  46,   3,  11,  41,   3,   7,  33,   2,   6,  32,   4,   6,  32,   3,   6,  35,   2,   8,  37,   2,  11,  41,   3,  10,  41,
     3,   9,  38,   2,   9,  36,   2,   5,  29,   3,   5,  29,   3,   5,  28,   3,   4,  25,   3,   6,  29,   2,   8,  31,   2,   5,  26,   3,   6,  25,   2,   4,  23,   3,  26,  76,   3,  27,  75,   3,  25,  74,   3,  25,  77,   3,  27,  78,   2,  29,  81,   1,  30,  81,   2,  28,  81,   3,  29,  83,   2,  30,  84,
     3,  35,  88,   2,  35,  89,   4,  36,  93,   2,  37,  94,   4,  41,  99,   3,  41, 101,   6,  44, 104,   5,  43, 103,   3,  43, 101,   3,  43, 101,   3,  42, 101,   4,  43, 102,   5,  44, 104,   5,  45, 105,   4,  46, 106,   6,  46, 105,   5,  46, 107,   8,  48, 108,   9,  49, 109,   4,  47, 109,   4,  47, 109,
     5,  49, 112,   7,  53, 118,   8,  57, 123,   5,  57, 124,   5,  57, 125,   9,  60, 129,  12,  64, 131,  13,  64, 131,  13,  65, 132,  14,  65, 134,  18,  68, 136,  18,  69, 138,  19,  69, 138,  24,  71, 140,  23,  69, 139,  24,  70, 139,  23,  69, 140,  24,  70, 142,  26,  73, 145,  23,  74, 144,  23,  73, 143,
    20,  72, 142,  20,  72, 142,  22,  73, 144,  23,  74, 145,  23,  75, 146,  23,  74, 146,  22,  74, 144,  21,  71, 143,  19,  71, 143,  21,  75, 146,  28,  81, 151,  26,  80, 151,  29,  82, 154,  32,  84, 156,  31,  83, 155,  28,  82, 155,  28,  85, 156,  27,  86, 156,  27,  84, 157,  24,  80, 154,  25,  79, 152,
    25,  77, 149,  23,  75, 147,  21,  75, 147,  25,  78, 149,  24,  78, 153,  28,  82, 158,  30,  84, 158,  33,  88, 162,  36,  90, 166,  37,  91, 167,  42,  94, 172,  40,  94, 172,  43,  98, 176,  45,  97, 175,  41,  94, 172,  37,  83, 156,  28,  63, 124,  17,  51, 111,  20,  55, 115,  29,  67, 125,  26,  64, 121,
    10,  49, 105,  10,  51, 106,   4,  43,  98,   3,  39,  97,   3,  46, 105,   4,  57, 117,   3,  51, 112,   4,  46, 105,   4,  43,  99,   3,  39,  95,   3,  47, 102,   3,  48, 104,   2,  40,  97,   2,  38,  97,   3,  39,  96,   2,  39,  98,   4,  56, 120,   4,  73, 143,   4,  73, 140,   5,  63, 128,   2,  58, 118,
     3,  57, 117,   2,  49, 108,   2,  40, 100,   4,  43, 102,   1,  41,  97,   3,  38,  95,   2,  38,  95,   3,  43, 100,   3,  50, 107,   3,  48, 106,   3,  47, 104,   3,  44, 102,   3,  39,  99,   3,  46, 106,   3,  44, 106,   4,  45, 105,   4,  52, 113,   8,  73, 139,  19,  93, 167,  19,  96, 169,   9,  78, 147,
     3,  64, 130,  10,  78, 148,  20,  88, 162,  33, 109, 187,  44, 121, 204,  40, 114, 194,  22,  96, 172,  21,  92, 166,  29,  95, 172,  35, 104, 183,  31, 101, 182,  31, 101, 184,  35, 105, 186,  28,  97, 175,  23,  92, 167,  23,  92, 169,  21,  91, 168,  32, 103, 183,  35, 107, 188,  31, 103, 183,  30,  99, 178,
    35, 102, 180,  30, 101, 181,  29, 102, 182,  30, 103, 181,  24,  94, 170,  19,  84, 156,  16,  78, 148,  13,  76, 146,  23,  85, 158,  33,  94, 168,  23,  82, 155,  20,  75, 146,  15,  66, 137,  17,  65, 134,  15,  63, 133,  18,  69, 139,  27,  80, 147,  19,  72, 141,  13,  67, 136,  21,  74, 143,  23,  79, 151,
    27,  85, 156,  26,  79, 149,  20,  69, 137,  20,  71, 140,  33,  87, 158,  36,  92, 165,  18,  68, 137,  11,  60, 126,  21,  68, 132,  14,  63, 128,   7,  59, 124,  17,  70, 137,  27,  79, 149,  20,  69, 138,  22,  70, 137,  19,  67, 132,  15,  62, 125,   9,  55, 116,   6,  45, 107,  10,  48, 108,   6,  44, 104,
     5,  43, 104,   9,  50, 109,   8,  52, 111,   5,  45, 103,   2,  37,  95,   4,  40,  97,   4,  39,  94,   4,  39,  96,   5,  44, 102,   8,  47, 104,   3,  39,  96,   4,  38,  94,   2,  30,  82,   3,  28,  78,   3,  29,  78,   4,  30,  80,   3,  30,  78,   4,  27,  76,   3,  25,  72,   4,  24,  68,   3,  21,  62,
     3,  19,  59,   3,  11,  44,   3,   7,  39,   2,   9,  39,   3,   9,  37,   2,   7,  36,   3,   9,  39,   3,  14,  45,   4,  16,  48,   3,  10,  40,   3,  11,  39,   3,   7,  35,   2,   8,  35,   3,  14,  43,   3,  10,  41,   2,  12,  42,   2,   8,  36,   2,   6,  32,   3,   8,  35,   2,   8,  33,   2,   5,  28,
     2,   4,  25,   2,   5,  27,   2,   5,  26,   2,   5,  26,   3,   6,  29,   2,   6,  28,   2,   7,  31,   2,  25,  73,   2,  24,  73,   2,  22,  74,   2,  24,  74,   2,  26,  77,   3,  27,  78,   1,  27,  79,   2,  27,  79,   1,  30,  83,   2,  33,  86,   3,  36,  89,   3,  37,  93,   3,  37,  93,   2,  38,  95,
     2,  38,  97,   2,  38,  98,   3,  40, 102,   3,  42, 101,   4,  43, 102,   5,  45, 102,   4,  44, 102,   6,  44, 103,   5,  44, 102,   4,  44, 103,   3,  43, 103,   3,  44, 104,   3,  44, 103,   4,  44, 103,   7,  46, 106,   5,  46, 107,   5,  47, 109,   4,  48, 110,   5,  48, 111,   7,  52, 118,   6,  56, 121,
     7,  58, 122,   9,  60, 125,  11,  60, 127,  11,  62, 129,  11,  62, 129,  15,  65, 132,  16,  66, 134,  15,  66, 134,  19,  68, 135,  21,  68, 136,  20,  67, 135,  21,  66, 135,  23,  68, 139,  22,  68, 139,  26,  72, 142,  20,  70, 141,  24,  73, 143,  21,  72, 141,  18,  71, 140,  19,  71, 141,  20,  71, 142,
    21,  72, 143,  20,  71, 142,  20,  71, 142,  22,  72, 143,  20,  71, 142,  21,  75, 145,  27,  79, 150,  26,  79, 151,  28,  80, 152,  29,  82, 153,  31,  83, 155,  30,  85, 156,  28,  84, 156,  28,  87, 157,  26,  85, 155,  24,  81, 153,  25,  79, 151,  26,  78, 148,  22,  74, 145,  22,  74, 146,  24,  76, 148,
    22,  77, 150,  26,  80, 155,  28,  84, 155,  28,  86, 157,  33,  87, 163,  37,  91, 166,  42,  91, 169,  44,  95, 171,  42,  94, 172,  46,  97, 174,  42,  93, 168,  34,  73, 141,  28,  60, 121,  32,  64, 123,  25,  58, 117,  34,  72, 131,  30,  72, 130,  16,  63, 121,  14,  80, 141,  10,  67, 126,   3,  37,  97,
     3,  40, 100,   3,  46, 105,   3,  39, 100,   4,  37,  96,   2,  35,  92,   2,  35,  91,   3,  41,  98,   4,  49, 104,   3,  47, 104,   2,  41,  98,   2,  38,  95,   2,  39,  97,   6,  63, 128,   8,  94, 165,   7,  89, 158,   4,  66, 129,   3,  57, 118,   5,  58, 118,   5,  52, 111,   2,  45, 105,   3,  47, 105,
     3,  49, 107,   4,  51, 109,   3,  47, 107,   4,  62, 123,   7,  69, 132,   3,  51, 111,   2,  41, 100,   3,  46, 104,   3,  49, 107,   3,  51, 111,   4,  46, 107,   2,  36,  96,   2,  33,  93,   3,  41, 102,   4,  50, 113,   4,  54, 116,   2,  51, 110,   3,  43, 104,   2,  47, 107,   4,  56, 118,  13,  75, 144,
    23, 101, 179,  33, 113, 192,  20, 102, 178,   4,  73, 143,   5,  59, 125,  12,  65, 131,  13,  71, 139,   9,  72, 142,  16,  82, 155,  15,  82, 155,  17,  86, 159,  15,  84, 158,  15,  85, 160,  21,  91, 167,  27,  96, 172,  23,  91, 166,  24,  93, 167,  32, 100, 179,  38, 108, 189,  42, 113, 195,  39, 111, 190,
    31,  98, 176,  29,  95, 169,  26,  92, 164,  20,  87, 160,  29,  96, 169,  32,  96, 170,  16,  79, 150,  12,  72, 142,  12,  67, 137,  13,  64, 135,  14,  64, 133,  11,  65, 134,  10,  62, 131,   5,  57, 126,  11,  63, 132,  19,  74, 143,  28,  86, 159,  31,  90, 163,  24,  76, 146,  13,  58, 124,  10,  55, 120,
    17,  67, 135,  26,  77, 147,  17,  67, 135,  13,  63, 129,  18,  67, 130,  15,  64, 129,  10,  60, 125,  18,  69, 137,  22,  75, 145,  20,  73, 142,  29,  80, 150,  23,  71, 140,  14,  62, 124,  11,  59, 120,  14,  62, 124,  17,  63, 125,  11,  55, 117,   5,  49, 109,  13,  59, 120,  14,  61, 123,   9,  50, 112,
     4,  42, 102,   3,  39,  99,   7,  51, 112,   9,  56, 118,   7,  51, 113,   9,  56, 117,   5,  49, 109,   7,  51, 109,   4,  40,  96,   2,  33,  85,   3,  34,  87,   3,  31,  84,   2,  33,  85,   2,  31,  82,   3,  30,  84,   4,  35,  89,   3,  30,  82,   2,  24,  72,   2,  25,  70,   3,  21,  65,   3,  22,  62,
     3,  18,  56,   3,  14,  50,   3,  15,  50,   3,  11,  44,   4,   9,  42,   2,  10,  41,   3,  11,  41,   5,  11,  41,   2,   8,  39,   1,  13,  44,   3,  15,  47,   3,  18,  50,   3,  12,  41,   3,  10,  37,   5,  10,  37,   3,   9,  36,   2,   8,  33,   2,   8,  32,   3,   7,  32,   3,   8,  31,   2,   6,  26,
     2,   5,  27,   1,   8,  29,   3,  11,  35,   2,  29,  76,   3,  28,  76,   2,  27,  78,   3,  28,  79,   2,  27,  78,   2,  27,  77,   3,  26,  79,   3,  28,  81,   2,  28,  82,   3,  32,  86,   2,  33,  89,   3,  36,  93,   1,  36,  93,   2,  39,  96,   3,  39,  98,   2,  41, 101,   3,  43, 103,   3,  41, 102,
     2,  41, 101,   3,  42, 103,   2,  41, 100,   5,  44, 101,   4,  44, 101,   4,  44, 102,   2,  43, 102,   4,  43, 103,   3,  41, 101,   3,  41, 103,   4,  42, 102,   3,  44, 104,   3,  46, 106,   3,  47, 109,   4,  47, 110,   5,  48, 111,   7,  51, 114,   7,  52, 116,   8,  55, 120,  11,  58, 123,  12,  60, 126,
    10,  61, 126,  14,  63, 130,  12,  63, 130,  13,  65, 132,  16,  66, 132,  15,  65, 131,  15,  63, 132,  16,  63, 132,  19,  65, 135,  23,  67, 137,  24,  68, 139,  19,  68, 138,  19,  68, 138,  18,  68, 138,  18,  69, 138,  18,  70, 138,  18,  68, 140,  18,  68, 139,  17,  69, 139,  17,  69, 139,  19,  72, 140,
    18,  70, 140,  20,  74, 143,  24,  75, 146,  25,  76, 147,  24,  75, 147,  25,  77, 149,  27,  80, 151,  25,  79, 150,  22,  79, 151,  24,  83, 154,  24,  81, 153,  25,  79, 151,  22,  76, 148,  25,  76, 148,  24,  75, 147,  25,  76, 147,  27,  78, 149,  26,  77, 150,  27,  81, 153,  28,  83, 155,  31,  85, 157,
    32,  85, 159,  33,  87, 161,  36,  88, 163,  40,  90, 166,  41,  91, 167,  43,  93, 170,  38,  88, 162,  33,  69, 132,  35,  64, 125,  42,  71, 130,  28,  61, 117,  17,  54, 111,  12,  52, 107,   7,  52, 110,  12,  81, 143,   9,  74, 136,   5,  48, 108,   4,  55, 115,   5,  59, 119,   4,  50, 109,   3,  40,  97,
     3,  44, 101,   3,  45, 101,   2,  38,  97,   3,  46, 102,   5,  53, 109,   4,  51, 108,   3,  47, 104,   4,  48, 105,   5,  62, 125,   6,  84, 153,   7,  83, 151,   5,  68, 130,   4,  56, 116,   3,  48, 108,   3,  46, 104,   3,  51, 107,   5,  53, 110,   4,  53, 110,   4,  54, 113,   4,  53, 113,   4,  74, 137,
     6,  81, 145,   4,  62, 123,   2,  42, 101,   2,  42, 101,   5,  53, 112,   4,  58, 117,   5,  54, 114,   3,  45, 104,   2,  41, 100,   3,  38,  96,   2,  41, 100,   3,  49, 109,   4,  51, 110,   2,  42, 102,   3,  39,  98,   3,  40,  98,   2,  49, 110,   7,  75, 147,  13, 101, 177,  23, 108, 184,  10,  91, 163,
     3,  56, 121,   1,  36,  93,   4,  47, 106,   4,  57, 120,   4,  64, 130,   7,  67, 135,   7,  72, 142,   7,  74, 144,   5,  70, 140,   9,  73, 142,  11,  75, 144,  10,  76, 147,  13,  81, 153,  21,  91, 168,  35, 107, 185,  46, 114, 195,  30,  99, 176,  15,  79, 151,  18,  83, 154,  24,  89, 160,  16,  84, 155,
    17,  85, 157,  18,  87, 159,  15,  82, 153,  20,  82, 152,  14,  78, 149,  20,  84, 158,  25,  88, 159,  18,  80, 150,  13,  71, 139,  11,  69, 138,  20,  80, 151,  26,  90, 164,  30,  92, 167,  21,  83, 156,  11,  62, 130,   5,  47, 110,   7,  52, 117,  17,  70, 138,  30,  84, 154,  22,  75, 143,  15,  65, 131,
    12,  61, 127,  10,  60, 124,  15,  64, 127,  20,  70, 136,  22,  73, 141,  24,  75, 143,  28,  81, 150,  21,  69, 137,   8,  56, 119,  11,  59, 121,  15,  61, 123,  13,  59, 121,   9,  55, 116,   7,  50, 111,  12,  58, 118,  15,  62, 123,  10,  54, 116,   5,  48, 110,   6,  48, 110,   7,  52, 113,   7,  52, 113,
     7,  55, 117,  10,  58, 120,   3,  40,  97,   3,  36,  93,   2,  33,  88,   5,  37,  91,   4,  41,  94,   2,  35,  88,   2,  28,  80,   2,  28,  79,   3,  33,  85,   3,  29,  83,   2,  29,  81,   3,  34,  87,   3,  35,  89,   3,  38,  94,   2,  37,  91,   3,  31,  85,   3,  25,  78,   3,  32,  84,   2,  22,  68,
     3,  21,  65,   2,  19,  60,   2,  13,  47,   3,  11,  44,   2,  10,  43,   2,  13,  46,   3,  13,  47,   3,  13,  46,   3,   9,  39,   2,   7,  35,   3,   6,  35,   2,   9,  37,   3,  12,  39,   4,  11,  38,   4,   9,  34,   2,  10,  33,   1,   7,  29,   3,   6,  28,   2,   7,  27,   3,   6,  26,   3,  26,  76,
     2,  26,  76,   2,  29,  79,   2,  29,  80,   2,  30,  81,   2,  28,  79,   2,  29,  81,   2,  30,  83,   2,  31,  86,   2,  34,  89,   3,  33,  89,   2,  32,  89,   2,  36,  94,   2,  36,  94,   2,  39,  98,   4,  43, 101,   4,  45, 105,   6,  46, 106,   4,  43, 103,   4,  42, 101,   4,  42, 100,   3,  42,  99,
     3,  42,  98,   3,  42, 100,   4,  43,  99,   6,  44, 102,   5,  43, 103,   6,  45, 106,   6,  45, 104,   5,  45, 105,   6,  44, 104,   6,  47, 108,   3,  47, 108,   6,  49, 111,   9,  53, 114,  11,  55, 117,  11,  56, 119,  11,  58, 122,   8,  57, 122,   9,  60, 125,  12,  62, 128,  11,  61, 127,  13,  64, 130,
    16,  65, 130,  16,  64, 130,  17,  65, 130,  14,  63, 127,  14,  62, 128,  16,  62, 131,  21,  66, 134,  20,  67, 136,  24,  70, 140,  24,  71, 139,  22,  70, 139,  21,  69, 137,  18,  67, 137,  19,  69, 138,  19,  69, 138,  18,  70, 137,  16,  69, 135,  19,  69, 139,  19,  71, 140,  22,  73, 143,  22,  73, 144,
    22,  74, 145,  20,  73, 143,  18,  71, 142,  20,  72, 144,  19,  75, 145,  20,  77, 148,  21,  78, 149,  21,  76, 148,  21,  75, 147,  26,  75, 148,  25,  75, 147,  25,  74, 148,  28,  79, 150,  27,  78, 150,  29,  81, 153,  29,  81, 153,  30,  82, 153,  30,  83, 156,  31,  83, 157,  33,  85, 159,  35,  87, 162,
    38,  88, 162,  37,  87, 162,  33,  80, 150,  30,  63, 124,  29,  58, 116,  32,  59, 116,  17,  48, 105,   4,  40,  96,   3,  42,  97,   2,  37,  96,   3,  46, 102,   4,  48, 106,   3,  48, 107,   3,  58, 119,   3,  56, 116,   2,  44, 103,   3,  42, 100,   4,  52, 110,   5,  61, 120,   4,  47, 105,   2,  40,  98,
     2,  48, 105,   6,  53, 109,   7,  60, 118,   7,  62, 120,   3,  51, 110,   3,  43, 104,   5,  49, 107,   4,  49, 106,   3,  42,  99,   3,  39,  95,   3,  40,  97,   4,  48, 104,   6,  49, 108,   4,  50, 106,   3,  48, 104,   3,  48, 105,   4,  54, 114,   5,  60, 121,   4,  56, 116,   4,  51, 110,   3,  46, 103,
     4,  49, 107,   3,  50, 108,   3,  47, 107,   2,  47, 108,   4,  52, 111,   3,  54, 114,   4,  51, 110,   4,  54, 112,   4,  54, 111,   4,  50, 109,   3,  45, 102,   2,  39,  98,   3,  48, 106,   4,  66, 133,   8,  84, 156,  16, 101, 177,  20, 105, 178,   6,  75, 142,   3,  34,  89,   3,  33,  90,   3,  45, 103,
     2,  51, 114,   3,  55, 122,   2,  58, 127,   3,  58, 128,   2,  56, 126,   3,  58, 125,   3,  56, 122,   3,  57, 124,   5,  66, 133,   9,  72, 141,  19,  87, 161,  31, 101, 178,  19,  86, 160,   7,  66, 134,  16,  79, 148,  24,  89, 159,  14,  84, 154,  12,  80, 154,  16,  85, 158,  17,  85, 156,  21,  85, 156,
    17,  83, 154,  26,  89, 162,  30,  93, 166,  21,  84, 154,  19,  82, 153,  20,  86, 158,  30,  94, 167,  30,  94, 170,  29,  94, 169,  25,  90, 163,  18,  76, 145,   8,  58, 122,   5,  54, 118,  10,  64, 131,  20,  77, 146,  20,  74, 142,  11,  61, 127,   4,  54, 120,   5,  58, 121,  10,  60, 123,   8,  52, 115,
     5,  45, 106,   5,  45, 105,   8,  54, 115,   7,  53, 116,   8,  54, 115,   9,  55, 117,   7,  49, 109,   3,  41, 100,   3,  40,  98,   3,  42, 101,   6,  48, 107,  10,  52, 112,  11,  55, 115,   8,  51, 112,  11,  57, 118,   7,  50, 113,   2,  39, 100,   3,  39,  97,   3,  38,  96,   3,  32,  89,   2,  31,  86,
     4,  36,  91,   5,  45,  98,   6,  44,  97,   3,  34,  86,   2,  30,  81,   3,  34,  87,   3,  32,  86,   2,  32,  85,   2,  33,  86,   2,  31,  85,   3,  29,  83,   2,  36,  89,   3,  40,  93,   3,  36,  90,   3,  30,  83,   3,  30,  83,   4,  35,  89,   2,  31,  84,   2,  28,  81,   4,  23,  71,   3,  21,  64,
     2,  20,  64,   4,  22,  66,   3,  19,  60,   3,  16,  53,   3,  16,  50,   3,  16,  49,   3,  12,  45,   3,  13,  44,   3,  11,  40,   2,   8,  34,   2,   6,  31,   2,   7,  31,   2,   7,  30,   3,   8,  31,   3,   6,  27,   2,   4,  23,   2,  26,  75,   2,  26,  77,   2,  27,  78,   2,  28,  79,   2,  29,  79,
     2,  29,  80,   2,  30,  82,   2,  32,  85,   2,  36,  89,   2,  38,  93,   1,  37,  91,   3,  37,  91,   3,  36,  91,   1,  36,  93,   2,  39,  95,   2,  39,  97,   4,  40, 101,   4,  44, 102,   7,  45, 103,   6,  43, 102,   5,  43,  98,   4,  42,  98,   3,  40,  96,   3,  39,  96,   3,  40,  96,   4,  39,  98,
     4,  41, 101,   8,  47, 107,   9,  50, 109,   8,  50, 109,   7,  47, 106,   7,  46, 106,   5,  46, 107,   6,  48, 110,   5,  47, 110,   7,  51, 113,   9,  55, 117,  11,  57, 119,  11,  59, 122,  11,  61, 125,  11,  62, 126,   8,  59, 126,   8,  59, 125,  12,  61, 126,  15,  62, 127,  15,  62, 127,  17,  62, 126,
    16,  62, 127,  15,  61, 126,  15,  62, 128,  19,  65, 131,  20,  67, 135,  22,  68, 136,  21,  68, 137,  17,  67, 136,  15,  65, 133,  13,  65, 133,  13,  64, 131,  12,  64, 131,  12,  65, 133,  13,  65, 134,  16,  68, 138,  17,  70, 140,  17,  70, 140,  19,  72, 141,  18,  70, 139,  14,  67, 137,  16,  70, 139,
    17,  72, 142,  16,  73, 143,  17,  73, 144,  19,  74, 144,  20,  74, 145,  24,  76, 146,  23,  75, 146,  22,  72, 145,  25,  76, 147,  26,  77, 148,  28,  79, 149,  27,  79, 150,  29,  80, 151,  30,  82, 154,  29,  82, 154,  31,  83, 155,  35,  86, 157,  35,  87, 159,  31,  81, 152,  25,  63, 123,  17,  42,  97,
    19,  45,  97,  23,  49, 101,   9,  40,  94,   4,  37,  92,   3,  42,  98,   2,  35,  93,   2,  33,  89,   2,  38,  96,   3,  49, 108,   4,  62, 122,   4,  55, 116,   4,  44, 105,   2,  44, 104,   4,  49, 108,   5,  56, 115,   5,  54, 113,   2,  46, 103,   4,  46, 104,   2,  43, 101,   3,  46, 104,   3,  50, 108,
     3,  44, 104,   2,  37,  97,   4,  39,  94,   3,  35,  89,   3,  27,  80,   2,  32,  85,   3,  39,  93,   2,  42,  98,   3,  40,  98,   3,  43,  99,   2,  42,  99,   2,  40,  98,   2,  43, 102,   4,  48, 106,   4,  52, 110,   3,  51, 111,   3,  44, 101,   3,  42,  99,   2,  41,  99,   3,  41, 101,   3,  47, 108,
     3,  58, 118,   5,  63, 122,   4,  50, 108,   4,  47, 104,   3,  45, 104,   3,  48, 106,   4,  49, 106,   2,  39,  96,   3,  38,  96,   3,  54, 114,   5,  62, 126,   6,  75, 142,   9,  82, 151,   3,  60, 124,   3,  32,  87,   2,  27,  83,   2,  41,  98,   4,  54, 118,   3,  66, 133,   4,  69, 138,   3,  64, 133,
     3,  65, 133,   3,  57, 123,   3,  52, 118,   3,  52, 118,   4,  53, 116,   3,  55, 118,   6,  63, 127,  12,  81, 149,  14,  80, 149,   4,  61, 128,   7,  64, 129,  17,  78, 147,  15,  83, 151,  18,  89, 162,  25,  96, 170,  19,  89, 162,  14,  78, 149,   9,  77, 147,  16,  82, 152,  18,  82, 152,  14,  77, 147,
    15,  77, 148,  25,  87, 157,  25,  87, 159,  16,  82, 155,  19,  86, 158,  34, 100, 173,  29,  95, 168,  14,  76, 144,   8,  66, 133,   7,  62, 130,   9,  67, 135,  11,  66, 134,   4,  57, 123,   6,  59, 123,   7,  61, 124,   5,  57, 120,   4,  44, 105,   3,  35,  92,   3,  38,  95,   3,  42, 101,   3,  46, 107,
     5,  51, 112,   5,  50, 111,   2,  40, 100,   3,  38,  97,   4,  41,  99,   4,  44, 101,   7,  47, 104,   8,  45, 103,   5,  43, 101,   5,  44, 101,   7,  51, 111,   8,  53, 115,   6,  50, 110,   5,  46, 105,   5,  43, 102,   3,  39,  98,   3,  36,  91,   3,  38,  92,   4,  39,  93,   2,  39,  93,   4,  38,  91,
     4,  39,  93,   6,  43,  97,   4,  39,  94,   2,  34,  89,   4,  36,  90,   2,  34,  87,   2,  31,  85,   3,  39,  94,   7,  45,  99,   3,  37,  90,   2,  28,  82,   2,  26,  79,   3,  34,  85,   2,  34,  85,   2,  29,  80,   2,  29,  79,   3,  29,  76,   3,  25,  71,   2,  21,  67,   2,  21,  66,   3,  25,  69,
     2,  32,  80,   3,  29,  77,   2,  23,  67,   2,  20,  63,   3,  16,  55,   2,  12,  47,   2,  13,  48,   3,  11,  43,   2,   6,  32,   2,   7,  28,   2,   5,  26,   4,   5,  26,   4,  28,  76,   2,  28,  78,   2,  29,  80,   2,  28,  80,   2,  29,  80,   1,  30,  80,   3,  30,  82,   2,  33,  86,   3,  36,  89,
     1,  38,  93,   1,  38,  92,   3,  39,  92,   2,  34,  88,   2,  35,  89,   2,  37,  92,   2,  38,  95,   3,  39,  96,   3,  38,  97,   3,  38,  95,   3,  38,  95,   3,  40,  95,   3,  39,  96,   2,  38,  94,   1,  37,  94,   3,  37,  93,   3,  39,  96,   6,  43, 101,   4,  44, 104,   6,  46, 106,   6,  47, 108,
     7,  46, 106,   7,  47, 107,   7,  46, 107,   5,  46, 108,   4,  47, 109,   6,  49, 112,   9,  53, 115,   9,  53, 116,  10,  55, 117,   8,  56, 119,  10,  59, 123,  11,  60, 124,  11,  60, 123,  12,  59, 125,  13,  60, 124,  12,  58, 123,  14,  59, 123,  12,  57, 123,  15,  58, 123,  17,  60, 125,  19,  63, 128,
    19,  63, 131,  18,  66, 134,  17,  66, 135,  17,  67, 135,  15,  65, 134,  12,  63, 131,  10,  62, 129,  10,  64, 129,  10,  63, 129,  13,  64, 133,  13,  66, 134,  15,  67, 136,  13,  65, 135,  16,  67, 136,  13,  66, 135,  13,  65, 133,  15,  66, 136,  16,  67, 137,  16,  69, 140,  17,  71, 142,  17,  71, 142,
    17,  72, 142,  22,  74, 144,  22,  73, 144,  25,  76, 145,  24,  76, 147,  26,  77, 147,  26,  77, 148,  25,  77, 148,  26,  77, 148,  29,  80, 152,  30,  81, 153,  30,  82, 153,  31,  83, 153,  33,  83, 154,  25,  74, 142,  16,  48, 103,   6,  35,  87,  14,  42,  94,  21,  47,  98,   7,  39,  91,   4,  38,  91,
     3,  43, 102,   4,  43, 101,   2,  40,  98,   3,  37,  94,   2,  42, 101,   4,  54, 113,   4,  56, 115,   4,  54, 112,   4,  59, 118,   5,  56, 116,   2,  43, 103,   3,  42, 101,   3,  49, 106,   5,  53, 109,   3,  49, 105,   2,  37,  92,   2,  35,  93,   3,  42, 101,   3,  52, 109,   2,  48, 104,   3,  37,  90,
     2,  27,  80,   3,  33,  86,   3,  40,  93,   4,  41,  96,   2,  37,  92,   3,  35,  94,   2,  39,  96,   4,  43,  99,   3,  45, 104,   4,  47, 105,   4,  48, 105,   4,  48, 105,   3,  38,  96,   2,  37,  94,   2,  42, 100,   2,  46, 104,   2,  46, 105,   4,  55, 115,   3,  54, 113,   2,  41,  99,   2,  37,  94,
     2,  36,  95,   2,  41, 100,   2,  45, 103,   3,  42,  99,   3,  36,  93,   2,  41,  99,   3,  47, 107,   4,  50, 111,   3,  48, 110,   3,  43, 106,   2,  40,  97,   2,  39,  94,   3,  46, 101,   5,  61, 122,   4,  75, 142,   7,  79, 147,   4,  75, 143,   5,  77, 145,   4,  73, 140,   4,  66, 132,   2,  55, 121,
     3,  46, 109,   3,  47, 110,   3,  49, 112,   4,  60, 123,   4,  68, 131,   3,  55, 118,   4,  45, 105,   5,  54, 116,   6,  67, 135,  15,  85, 155,  25,  96, 171,  20,  90, 160,  12,  76, 146,  13,  76, 146,  15,  78, 146,  15,  77, 145,   9,  72, 141,   8,  71, 140,  15,  76, 145,  14,  76, 146,  10,  74, 144,
    12,  78, 148,  23,  88, 159,  21,  84, 155,  19,  81, 151,  14,  77, 146,   7,  65, 134,   5,  64, 131,   5,  62, 128,   7,  64, 131,  12,  72, 139,  10,  71, 135,   6,  62, 124,   5,  51, 113,   4,  50, 111,   5,  55, 116,   8,  59, 119,   5,  54, 115,   6,  54, 115,   4,  49, 109,   2,  38,  98,   2,  38,  97,
     4,  40,  97,   3,  37,  94,   4,  38,  95,   3,  32,  87,   2,  31,  86,   3,  35,  91,   4,  45, 106,   9,  56, 118,  10,  57, 118,   7,  53, 113,   5,  47, 106,   4,  42,  99,   3,  39,  94,   3,  39,  93,   3,  39,  93,   4,  42,  96,   6,  46, 103,   8,  53, 112,  11,  54, 114,   7,  47, 104,   3,  39,  95,
     5,  42,  96,   3,  39,  93,   2,  39,  92,   3,  41,  95,   4,  39,  93,   2,  32,  86,   4,  35,  87,   2,  34,  85,   3,  35,  85,   3,  36,  87,   3,  32,  82,   2,  24,  72,   2,  24,  70,   2,  25,  70,   4,  22,  67,   2,  23,  67,   3,  26,  72,   3,  30,  77,   2,  27,  73,   2,  25,  69,   3,  24,  71,
     2,  25,  73,   2,  24,  71,   2,  23,  70,   2,  18,  59,   3,  14,  49,   2,  14,  48,   2,  10,  42,   2,  11,  43,   2,  24,  71,   3,  26,  76,   3,  28,  78,   2,  29,  78,   3,  30,  80,   3,  30,  81,   2,  30,  81,   3,  32,  85,   2,  35,  89,   2,  38,  92,   2,  38,  92,   3,  38,  90,   2,  32,  85,
     2,  31,  83,   3,  33,  87,   3,  36,  91,   2,  38,  94,   3,  38,  93,   2,  35,  90,   3,  37,  91,   2,  36,  91,   3,  36,  91,   2,  38,  93,   3,  37,  93,   3,  36,  91,   2,  38,  93,   5,  42,  98,   4,  44, 101,   6,  45, 103,   6,  45, 103,   5,  44, 104,   6,  46, 105,   7,  47, 106,   8,  49, 109,
     6,  47, 108,   3,  46, 108,   5,  49, 111,   6,  50, 112,   7,  51, 114,   7,  51, 114,  11,  55, 119,  10,  56, 120,  12,  58, 122,  14,  58, 122,  15,  58, 123,  13,  57, 121,  12,  55, 119,  10,  53, 117,  11,  54, 117,  12,  55, 119,  15,  58, 122,  16,  60, 126,  19,  65, 132,  17,  67, 135,  17,  68, 136,
    15,  67, 134,  13,  64, 131,   7,  60, 127,   9,  61, 128,   8,  61, 127,  12,  64, 131,  11,  64, 132,  12,  66, 132,  12,  64, 134,  13,  65, 134,  11,  63, 131,  12,  64, 131,  12,  64, 132,  14,  65, 135,  16,  69, 138,  15,  67, 137,  17,  70, 141,  17,  70, 140,  20,  71, 142,  22,  74, 144,  26,  76, 146,
    24,  74, 145,  25,  76, 146,  27,  78, 149,  25,  76, 147,  26,  77, 148,  25,  76, 148,  25,  77, 148,  26,  76, 148,  28,  78, 150,  27,  76, 147,  18,  61, 124,   6,  35,  89,  14,  41,  93,  26,  50, 101,  18,  44,  93,   7,  34,  84,   3,  35,  86,   4,  50, 108,   9,  74, 142,  10,  73, 141,   3,  48, 105,
     3,  39,  98,   2,  38,  95,   2,  43, 101,   4,  51, 111,   2,  58, 118,   3,  55, 116,   2,  45, 107,   2,  39,  98,   3,  44, 102,   6,  52, 106,   4,  47, 103,   2,  40,  96,   2,  41,  99,   3,  47, 104,   3,  56, 113,   3,  58, 117,   3,  50, 105,   2,  41,  94,   3,  34,  87,   2,  36,  89,   3,  41,  94,
     3,  39,  93,   2,  37,  95,   5,  49, 108,   4,  59, 116,   2,  49, 108,   3,  38,  94,   2,  38,  94,   3,  44, 101,   3,  40,  96,   2,  37,  95,   2,  48, 106,   3,  49, 107,   2,  42, 103,   3,  47, 107,   3,  45, 105,   3,  40,  97,   3,  44,  99,   3,  43, 100,   3,  45, 104,   3,  45, 104,   3,  43,  99,
     2,  36,  93,   3,  42, 100,   4,  50, 110,   3,  51, 112,   2,  49, 110,   3,  52, 114,   3,  46, 106,   2,  34,  90,   3,  39,  93,   3,  43, 102,   3,  52, 113,   3,  55, 121,   4,  62, 129,   4,  67, 133,   5,  77, 144,   5,  82, 151,   5,  70, 138,   3,  50, 113,   3,  48, 111,   3,  48, 109,   2,  43, 105,
     3,  57, 116,   3,  54, 113,   3,  37,  95,   3,  46, 104,   5,  56, 120,   6,  64, 130,  10,  75, 143,   9,  72, 137,   8,  65, 132,   7,  66, 132,   6,  67, 128,   9,  70, 134,   7,  66, 133,   7,  66, 132,   9,  68, 133,   8,  67, 135,   8,  72, 141,  13,  79, 148,  11,  76, 147,  11,  72, 142,  21,  84, 153,
    21,  83, 152,  11,  73, 140,  10,  69, 135,   8,  67, 134,  10,  69, 138,  15,  79, 149,  15,  80, 149,   8,  67, 133,   5,  60, 124,   9,  68, 136,  13,  74, 144,  13,  72, 138,   5,  60, 120,   6,  57, 117,   4,  50, 109,   3,  42, 100,   3,  40,  98,   2,  41,  96,   2,  37,  95,   2,  38,  95,   3,  36,  91,
     2,  30,  85,   2,  35,  90,   3,  47, 105,   6,  54, 115,   7,  55, 114,   9,  56, 116,   8,  52, 111,   3,  40,  97,   1,  37,  92,   2,  37,  90,   2,  35,  88,   2,  35,  89,   3,  37,  92,   4,  42,  99,   6,  47, 104,   5,  44, 100,   4,  40,  94,   4,  38,  92,   3,  35,  88,   3,  38,  90,   4,  41,  93,
     4,  36,  89,   2,  31,  83,   3,  33,  84,   2,  34,  86,   3,  34,  85,   2,  32,  85,   2,  27,  79,   2,  19,  68,   2,  19,  67,   2,  20,  67,   2,  21,  65,   3,  23,  66,   2,  18,  62,   3,  18,  63,   1,  18,  65,   2,  18,  64,   2,  20,  66,   4,  28,  75,   2,  29,  76,   2,  26,  73,   3,  28,  76,
     2,  23,  68,   1,  21,  66,   2,  21,  66,   2,  23,  68,   2,  24,  70,   2,  24,  72,   3,  24,  72,   2,  27,  73,   3,  27,  77,   2,  28,  77,   2,  29,  79,   2,  31,  82,   3,  37,  88,   3,  40,  91,   2,  38,  91,   3,  35,  87,   2,  33,  83,   2,  30,  81,   3,  31,  83,   3,  34,  87,   2,  35,  89,
     2,  36,  89,   3,  36,  88,   3,  34,  87,   2,  34,  88,   3,  35,  89,   2,  38,  91,   2,  39,  94,   3,  39,  92,   2,  36,  92,   3,  39,  93,   3,  41,  95,   6,  43, 101,   9,  47, 105,   7,  46, 106,   8,  47, 106,   8,  47, 107,   9,  48, 107,   8,  49, 109,   5,  49, 109,   7,  49, 110,   5,  49, 111,
     6,  50, 112,   9,  53, 115,   9,  52, 116,  10,  55, 119,   9,  53, 118,   9,  54, 118,  12,  55, 120,  10,  55, 118,  11,  55, 118,  11,  53, 117,   9,  50, 113,   8,  50, 114,   9,  51, 115,  12,  55, 120,  16,  62, 128,  18,  66, 133,  18,  69, 136,  19,  69, 138,  16,  66, 134,  11,  63, 130,   9,  61, 128,
     8,  60, 127,  10,  63, 129,  11,  64, 132,  13,  65, 133,  16,  67, 134,  16,  68, 134,  12,  64, 131,  11,  63, 131,  10,  63, 130,  15,  66, 134,  17,  67, 136,  19,  70, 139,  19,  69, 140,  19,  70, 140,  19,  69, 140,  20,  70, 141,  22,  72, 143,  21,  71, 143,  23,  74, 145,  25,  76, 146,  25,  76, 146,
    24,  75, 145,  23,  75, 146,  23,  74, 144,  23,  73, 145,  25,  74, 145,  20,  68, 139,  10,  52, 113,   2,  32,  85,  12,  40,  93,  25,  50,  99,  12,  38,  86,   3,  24,  73,   2,  27,  75,   4,  50, 108,  15,  95, 169,  25, 103, 178,   6,  59, 120,   2,  40,  97,   3,  38,  97,   3,  41, 100,   5,  59, 120,
     8,  74, 139,   6,  65, 127,   4,  53, 114,   3,  48, 107,   2,  37,  93,   3,  43,  98,   2,  44, 101,   3,  44, 101,   4,  49, 108,   5,  52, 109,   3,  51, 108,   2,  51, 107,   4,  45, 100,   4,  42,  95,   2,  38,  90,   3,  36,  89,   2,  36,  89,   2,  37,  90,   2,  39,  95,   5,  59, 120,   2,  73, 135,
     3,  55, 115,   2,  31,  86,   2,  34,  90,   3,  43, 101,   3,  48, 105,   2,  42, 102,   3,  53, 113,   4,  58, 117,   3,  47, 108,   2,  44, 103,   3,  41, 101,   3,  42,  98,   2,  44, 102,   2,  47, 106,   4,  48, 110,   3,  49, 109,   3,  46, 105,   3,  44, 102,   2,  44, 102,   3,  51, 111,   2,  52, 113,
     4,  56, 116,   4,  60, 121,   4,  53, 115,   2,  34,  92,   3,  29,  81,   3,  30,  83,   2,  33,  85,   3,  46, 107,   3,  58, 122,   2,  54, 119,   4,  60, 126,   4,  80, 149,   8,  83, 152,   4,  69, 135,   4,  60, 123,   2,  54, 115,   2,  45, 104,   3,  44, 100,   3,  41,  96,   3,  34,  89,   2,  43, 100,
     5,  51, 114,   3,  55, 117,   3,  56, 116,   2,  51, 111,   3,  46, 106,   3,  50, 109,   3,  54, 113,   4,  57, 116,   4,  54, 115,   4,  56, 119,   4,  55, 120,   6,  58, 122,  13,  75, 142,  21,  90, 159,  16,  83, 152,  10,  70, 137,  10,  69, 136,   9,  69, 135,   5,  66, 131,   8,  67, 132,   8,  67, 133,
    10,  69, 137,  14,  78, 148,  20,  81, 151,  10,  71, 138,   8,  64, 131,  11,  71, 139,  12,  70, 138,   7,  62, 128,   3,  55, 116,   4,  51, 112,   4,  49, 109,   3,  45, 106,   3,  44, 103,   3,  47, 104,   3,  44, 101,   4,  49, 107,   5,  52, 111,   4,  46, 102,   3,  42,  99,   2,  44, 103,   5,  50, 110,
     5,  52, 112,   5,  50, 110,   6,  46, 105,   3,  41,  97,   3,  40,  95,   3,  38,  91,   3,  30,  83,   3,  27,  78,   3,  29,  80,   2,  35,  90,   4,  44, 102,   4,  40,  96,   2,  34,  86,   2,  30,  81,   3,  30,  83,   3,  33,  83,   2,  26,  75,   3,  25,  72,   3,  26,  75,   3,  31,  82,   3,  34,  85,
     2,  32,  83,   3,  36,  88,   3,  32,  82,   3,  25,  75,   3,  27,  74,   3,  24,  71,   2,  21,  68,   3,  23,  67,   1,  18,  62,   2,  17,  63,   2,  18,  64,   2,  18,  63,   2,  22,  67,   3,  26,  72,   2,  21,  66,   2,  17,  62,   2,  19,  63,   2,  18,  61,   2,  19,  62,   2,  21,  63,   3,  23,  67,
     2,  22,  68,   2,  24,  71,   2,  23,  71,   3,  25,  72,   3,  24,  72,   2,  25,  72,   2,  26,  76,   2,  27,  78,   2,  32,  81,   1,  34,  86,   2,  36,  88,   2,  32,  83,   3,  30,  81,   3,  27,  78,   3,  28,  79,   3,  29,  82,   3,  30,  84,   2,  31,  83,   2,  30,  83,   3,  30,  82,   2,  31,  84,
     3,  33,  87,   3,  36,  90,   3,  37,  92,   2,  39,  93,   2,  39,  93,   2,  36,  90,   1,  37,  90,   2,  38,  93,   6,  43,  99,   7,  44, 101,   5,  44, 102,   7,  45, 103,   6,  44, 104,   6,  47, 106,   6,  49, 107,   5,  48, 108,   5,  49, 110,   6,  49, 111,   6,  50, 112,   7,  51, 113,  10,  53, 116,
     8,  52, 115,   8,  52, 116,   8,  52, 116,   7,  51, 115,   9,  52, 115,  11,  54, 116,  13,  53, 115,   9,  50, 111,  10,  50, 114,  11,  52, 118,  11,  56, 122,  14,  61, 129,  15,  67, 134,  16,  68, 138,  16,  67, 136,  15,  67, 135,  14,  66, 134,  11,  63, 130,  10,  62, 129,  11,  63, 131,  15,  66, 133,
    18,  67, 133,  19,  69, 134,  18,  67, 134,  18,  66, 134,  14,  64, 132,  17,  65, 134,  17,  66, 135,  17,  66, 136,  17,  67, 136,  19,  69, 138,  19,  69, 140,  18,  68, 139,  20,  70, 141,  19,  69, 141,  21,  72, 142,  22,  73, 143,  21,  72, 143,  22,  72, 142,  21,  72, 143,  21,  71, 142,  20,  69, 140,
    21,  68, 139,  22,  67, 135,  16,  57, 115,   8,  41,  92,   7,  38,  90,  16,  44,  92,   8,  34,  81,   4,  26,  73,   2,  27,  75,   3,  34,  85,   7,  60, 119,  12,  73, 140,   5,  53, 112,   4,  46, 103,   3,  49, 107,   4,  49, 109,   7,  66, 130,  17,  94, 164,  12,  84, 151,   3,  55, 114,   4,  47, 105,
     3,  34,  88,   3,  38,  93,   3,  46, 103,   3,  49, 107,   3,  48, 107,   2,  46, 103,   2,  39,  95,   3,  34,  89,   3,  32,  85,   2,  36,  87,   2,  40,  92,   2,  38,  90,   2,  36,  89,   2,  35,  88,   2,  38,  92,   3,  51, 109,   4,  65, 126,   3,  57, 117,   3,  46, 100,   4,  41,  98,   3,  45, 105,
     5,  53, 113,   4,  53, 112,   4,  51, 112,   4,  57, 117,   2,  54, 113,   3,  49, 109,   3,  44, 103,   2,  42, 100,   2,  43, 102,   2,  46, 105,   3,  49, 110,   4,  53, 113,   3,  57, 117,   4,  59, 120,   3,  55, 115,   3,  53, 114,   4,  50, 111,   2,  47, 107,   4,  54, 114,   3,  56, 116,   3,  47, 105,
     3,  33,  86,   3,  28,  80,   2,  36,  89,   3,  61, 124,   4,  81, 146,   3,  64, 128,   3,  48, 111,   4,  72, 140,   7,  81, 149,   4,  75, 141,   3,  71, 135,   4,  62, 123,   2,  45, 102,   2,  37,  92,   3,  32,  85,   2,  26,  78,   3,  30,  84,   4,  36,  90,   2,  41,  96,   3,  46, 101,   3,  39,  95,
     2,  35,  89,   3,  40,  94,   2,  42,  98,   3,  42,  97,   3,  41,  98,   3,  46, 107,   3,  47, 110,   3,  46, 110,   5,  59, 123,  12,  80, 146,   9,  72, 138,   5,  58, 120,   3,  56, 116,   4,  60, 122,   5,  61, 125,   5,  62, 126,   5,  58, 124,   5,  60, 124,   8,  66, 131,   7,  69, 135,   6,  65, 131,
     4,  62, 129,  11,  72, 141,  14,  75, 146,   8,  64, 131,   3,  56, 117,   5,  51, 111,   3,  49, 110,   4,  51, 111,   5,  51, 110,   3,  47, 106,   3,  45, 103,   5,  54, 112,   8,  61, 126,   8,  62, 125,   4,  50, 109,   3,  46, 104,   6,  52, 109,   5,  50, 109,   2,  43, 102,   3,  44, 103,   5,  52, 112,
     4,  48, 107,   3,  36,  90,   2,  28,  80,   2,  25,  74,   2,  26,  78,   3,  37,  92,   6,  52, 109,   4,  41,  96,   2,  28,  79,   3,  28,  79,   2,  29,  78,   2,  24,  69,   2,  17,  60,   2,  17,  61,   3,  26,  72,   1,  33,  83,   2,  31,  80,   3,  27,  76,   3,  32,  81,   2,  31,  81,   2,  31,  82,
     2,  36,  86,   3,  29,  78,   3,  24,  71,   3,  24,  71,   3,  20,  67,   1,  19,  65,   2,  19,  66,   3,  21,  67,   2,  24,  71,   2,  23,  69,   2,  17,  61,   2,  16,  59,   2,  15,  58,   2,  14,  58,   2,  16,  61,   2,  17,  60,   2,  17,  61,   2,  18,  60,   2,  21,  66,   2,  22,  68,   2,  22,  68,
     2,  21,  67,   1,  21,  67,   2,  22,  69,   2,  24,  72,   2,  27,  75,   1,  27,  77,   3,  28,  80,   2,  29,  79,   2,  27,  76,   1,  24,  73,   3,  23,  73,   2,  25,  77,   2,  28,  79,   2,  28,  79,   2,  29,  79,   3,  25,  76,   2,  25,  76,   2,  31,  82,   2,  34,  88,   3,  38,  91,   3,  41,  95,
     3,  40,  95,   3,  40,  95,   3,  39,  93,   2,  37,  90,   3,  36,  90,   4,  37,  92,   5,  40,  94,   5,  42,  98,   4,  42,  99,   5,  44, 101,   5,  45, 103,   5,  48, 106,   5,  49, 107,   6,  49, 109,   5,  49, 110,   3,  46, 107,   7,  50, 113,   7,  51, 114,   9,  54, 115,   9,  54, 117,   9,  53, 116,
     8,  51, 113,   5,  49, 111,   8,  49, 110,   7,  48, 109,   8,  47, 111,   8,  49, 114,  11,  54, 119,  13,  59, 126,  14,  65, 130,  15,  67, 135,  16,  67, 136,  17,  69, 137,  16,  68, 135,  14,  65, 133,  14,  64, 130,  11,  63, 129,  14,  64, 129,  15,  63, 129,  15,  62, 130,  19,  65, 132,  21,  66, 133,
    18,  66, 132,  19,  65, 132,  19,  65, 132,  16,  63, 130,  18,  64, 132,  16,  65, 132,  17,  66, 135,  20,  67, 136,  20,  70, 137,  19,  68, 138,  19,  69, 139,  19,  69, 138,  21,  69, 139,  21,  69, 138,  20,  67, 138,  18,  66, 135,  15,  62, 132,  15,  60, 128,  15,  57, 120,  15,  50, 105,  15,  44,  95,
    15,  45,  93,   9,  37,  84,   3,  29,  74,   3,  32,  78,   2,  32,  80,   2,  28,  78,   2,  32,  84,   2,  38,  93,   3,  40,  97,   3,  45, 103,   4,  55, 112,   5,  56, 115,   4,  55, 117,   6,  69, 132,   6,  63, 125,   2,  39,  95,   2,  35,  88,   3,  31,  86,   3,  34,  90,   2,  42,  99,   2,  48, 105,
     2,  46, 106,   3,  45, 101,   3,  39,  94,   2,  32,  86,   2,  33,  86,   2,  34,  86,   1,  38,  89,   2,  38,  90,   2,  36,  88,   2,  34,  88,   3,  37,  92,   2,  44, 101,   3,  53, 112,   3,  53, 112,   4,  57, 114,   5,  54, 113,   2,  47, 107,   4,  49, 110,   5,  49, 108,   3,  44, 105,   3,  47, 109,
     3,  56, 117,   2,  53, 113,   5,  49, 107,   3,  45, 103,   2,  46, 105,   3,  49, 106,   3,  50, 110,   3,  53, 113,   5,  62, 121,   6,  67, 128,   5,  65, 125,   4,  57, 116,   3,  48, 109,   2,  40, 100,   2,  40,  99,   3,  46, 105,   3,  41, 100,   3,  34,  87,   3,  29,  82,   3,  35,  88,   4,  57, 118,
     5,  75, 141,   3,  58, 120,   3,  37,  98,   4,  52, 115,   3,  63, 129,   3,  60, 125,   4,  61, 123,   3,  52, 112,   3,  43, 100,   2,  38,  94,   3,  30,  83,   3,  27,  79,   2,  23,  75,   3,  25,  78,   2,  29,  80,   3,  30,  81,   2,  29,  79,   2,  32,  84,   2,  34,  88,   2,  34,  87,   3,  28,  83,
     2,  35,  90,   4,  52, 112,   3,  57, 118,   3,  48, 111,   3,  50, 113,   4,  62, 125,   2,  56, 116,   3,  43, 100,   4,  49, 108,   4,  56, 116,   4,  58, 118,   4,  55, 115,   3,  48, 108,   3,  47, 108,   2,  52, 114,   3,  58, 120,   3,  59, 124,   7,  69, 138,  22,  96, 172,  29, 108, 185,  18,  84, 155,
     5,  57, 118,   5,  52, 113,   4,  52, 113,   4,  55, 112,   5,  50, 109,   2,  44, 103,   3,  44, 104,   6,  55, 113,   7,  61, 123,   9,  61, 123,   3,  46, 104,   3,  37,  93,   3,  42,  99,   4,  45, 101,   3,  48, 107,   4,  62, 126,   7,  74, 139,   5,  59, 122,   3,  40,  95,   3,  33,  85,   2,  29,  80,
     2,  27,  78,   4,  38,  92,   6,  50, 107,   3,  38,  91,   3,  22,  71,   3,  24,  74,   3,  27,  73,   3,  19,  65,   2,  13,  56,   2,  17,  62,   2,  23,  68,   2,  24,  71,   2,  20,  68,   2,  20,  67,   3,  24,  71,   4,  26,  73,   2,  25,  73,   3,  27,  75,   3,  24,  73,   2,  22,  69,   3,  25,  71,
     3,  24,  70,   2,  22,  68,   2,  24,  69,   3,  25,  71,   3,  25,  69,   2,  19,  61,   2,  14,  56,   2,  15,  57,   1,  18,  62,   3,  20,  64,   3,  18,  61,   2,  18,  61,   2,  22,  63,   2,  14,  54,   3,  14,  57,   2,  15,  58,   2,  17,  60,   2,  17,  62,   2,  19,  63,   2,  19,  66,   1,  22,  69,
     2,  23,  70,   3,  25,  73,   2,  25,  72,   2,  25,  73,   2,  23,  70,   3,  22,  70,   2,  20,  68,   2,  23,  72,   3,  26,  75,   2,  27,  77,   3,  27,  76,   2,  26,  74,   3,  25,  74,   2,  24,  75,   3,  29,  81,   2,  34,  87,   2,  38,  94,   3,  40,  94,   4,  41,  94,   2,  40,  94,   2,  39,  93,
     2,  36,  89,   3,  36,  89,   3,  35,  89,   2,  35,  89,   3,  37,  91,   3,  38,  93,   3,  40,  95,   3,  43,  99,   4,  45, 103,   5,  48, 106,   5,  48, 109,   3,  46, 106,   2,  45, 107,   5,  49, 111,   5,  50, 111,   8,  52, 114,   8,  52, 114,   7,  50, 112,   5,  49, 110,   5,  47, 108,   5,  47, 108,
     3,  46, 107,   4,  46, 110,   8,  52, 116,  10,  58, 121,  12,  63, 128,  16,  67, 135,  17,  68, 135,  18,  68, 135,  16,  67, 133,  12,  63, 130,  11,  62, 128,  11,  60, 125,  12,  59, 125,  16,  59, 125,  16,  61, 126,  22,  65, 130,  20,  64, 131,  21,  65, 129,  20,  65, 129,  18,  62, 128,  16,  60, 127,
    14,  60, 127,  14,  61, 127,  17,  62, 129,  15,  61, 129,  18,  63, 129,  20,  65, 134,  19,  66, 135,  22,  67, 135,  20,  66, 133,  22,  65, 133,  19,  62, 131,  15,  59, 127,  13,  58, 124,  12,  55, 120,  11,  48, 108,  10,  40,  91,   8,  39,  87,  14,  42,  89,   3,  29,  74,   3,  20,  65,   3,  27,  73,
     2,  28,  79,   2,  28,  79,   3,  41,  93,   2,  41,  96,   3,  36,  92,   2,  38,  95,   4,  46, 102,   4,  52, 110,   4,  53, 113,   3,  50, 109,   2,  39,  97,   3,  31,  84,   3,  36,  87,   3,  34,  87,   2,  38,  92,   3,  47, 104,   4,  54, 112,   4,  52, 109,   4,  49, 103,   3,  46,  99,   2,  42,  93,
     3,  37,  89,   2,  35,  88,   3,  36,  86,   4,  37,  89,   2,  35,  86,   3,  37,  90,   2,  39,  94,   2,  48, 103,   3,  47, 103,   3,  40,  99,   3,  49, 106,   4,  53, 111,   4,  54, 113,   3,  52, 113,   3,  42, 101,   2,  38,  98,   4,  54, 113,   4,  66, 126,   3,  57, 118,   2,  42, 102,   2,  42, 100,
     4,  49, 107,   3,  49, 110,   3,  45, 105,   3,  41, 102,   3,  47, 107,   3,  55, 118,   4,  58, 120,   3,  54, 116,   2,  53, 114,   3,  45, 104,   2,  36,  96,   2,  41, 101,   3,  44, 103,   4,  42,  98,   3,  34,  90,   3,  34,  89,   2,  39,  96,   3,  50, 109,   3,  45, 104,   2,  35,  93,   2,  36,  95,
     3,  42, 102,   3,  41, 101,   2,  41,  99,   3,  39,  97,   2,  40,  97,   4,  45, 100,   2,  34,  89,   2,  31,  85,   3,  32,  84,   3,  29,  81,   3,  25,  76,   2,  27,  76,   2,  28,  77,   3,  29,  81,   2,  30,  83,   2,  31,  85,   3,  28,  81,   2,  35,  87,   3,  53, 112,   2,  60, 121,   4,  53, 114,
     2,  54, 114,   5,  63, 124,   3,  51, 110,   2,  35,  89,   2,  38,  93,   4,  45, 100,   3,  45, 102,   3,  43, 100,   3,  40,  99,   2,  45, 107,   3,  55, 116,   3,  58, 118,   4,  63, 126,  10,  80, 149,  29, 105, 184,  28, 110, 187,  17,  82, 152,   4,  57, 117,   4,  55, 114,   4,  54, 112,   3,  50, 109,
     3,  45, 103,   3,  44, 102,   5,  51, 107,   6,  52, 109,   4,  51, 110,   3,  48, 106,   3,  35,  90,   4,  27,  79,   3,  28,  80,   3,  36,  91,   3,  48, 107,   5,  65, 130,   6,  73, 137,   4,  58, 120,   3,  46, 105,   3,  45, 104,   4,  45, 102,   3,  36,  90,   2,  33,  86,   2,  35,  88,   2,  30,  82,
     2,  25,  76,   2,  26,  75,   2,  30,  77,   2,  23,  71,   3,  20,  67,   3,  25,  72,   2,  23,  70,   2,  21,  68,   2,  21,  67,   2,  19,  66,   2,  18,  65,   3,  18,  63,   1,  14,  59,   1,  15,  59,   2,  18,  63,   2,  23,  70,   3,  26,  72,   2,  23,  69,   2,  23,  69,   2,  22,  67,   3,  20,  62,
     2,  17,  58,   2,  10,  48,   1,  10,  46,   3,  16,  55,   2,  22,  64,   2,  23,  66,   3,  17,  60,   2,  16,  56,   2,  18,  58,};
 const char* CatPics::cat3Data = (const char*)temp_cat3_3;