File: ZamSynthArtwork.cpp

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zam-plugins 3.7~repack2-3
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/* (Auto-generated binary data file). */

#include "ZamSynthArtwork.hpp"

static const unsigned char temp1[] = {
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   54,  54,  54, 255,  53,  53,  53, 255,  50,  50,  50, 255,  48,  48,  48, 255,  44,  44,  44, 255,  41,  41,  41, 255,  38,  38,  38, 255,  34,  34,  34, 255,  30,  30,  30, 255,  27,  27,  27, 255,  23,  23,  23, 255,  19,  19,  19, 255,  15,  15,  15, 255,  11,  11,  11, 255,   7,   7,   7, 255,   3,   3,   3, 255,  86,  86,  86, 255,  74,  74,  74, 255,  50,  50,  50, 255,  26,  26,  26, 255,   0,   0,   0, 203,
    2,   2,   2, 231,  28,  28,  28, 255,  52,  52,  52, 255,  77,  77,  77, 255,  84,  84,  84, 255,   6,   6,   6, 255,  10,  10,  10, 255,  14,  14,  14, 255,  18,  18,  18, 255,  22,  22,  22, 255,  26,  26,  26, 255,  30,  30,  30, 255,  34,  34,  34, 255,  37,  37,  37, 255,  41,  41,  41, 255,  45,  45,  45, 255,  48,  48,  48, 255,  52,  52,  52, 255,  55,  55,  55, 255,  57,  57,  57, 255,  58,  58,  58, 255,
   58,  58,  58, 255,  56,  56,  56, 255,  53,  53,  53, 255,  50,  50,  50, 255,  47,  47,  47, 255,  43,  43,  43, 255,  39,  39,  39, 255,  35,  35,  35, 255,  32,  32,  32, 255,  28,  28,  28, 255,  24,  24,  24, 255,  20,  20,  20, 255,  16,  16,  16, 255,  12,  12,  12, 255,   8,   8,   8, 255,   4,   4,   4, 255,  78,  78,  78, 255,  78,  78,  78, 255,  54,  54,  54, 255,  29,  29,  29, 255,   3,   3,   3, 237,
    4,   4,   4, 247,  30,  30,  30, 255,  55,  55,  55, 255,  79,  79,  79, 255,  81,  81,  81, 255,   7,   7,   7, 255,  11,  11,  11, 255,  15,  15,  15, 255,  19,  19,  19, 255,  23,  23,  23, 255,  27,  27,  27, 255,  31,  31,  31, 255,  35,  35,  35, 255,  38,  38,  38, 255,  42,  42,  42, 255,  46,  46,  46, 255,  50,  50,  50, 255,  54,  54,  54, 255,  57,  57,  57, 255,  60,  60,  60, 255,  62,  62,  62, 255,
   62,  62,  62, 255,  59,  59,  59, 255,  56,  56,  56, 255,  52,  52,  52, 255,  48,  48,  48, 255,  44,  44,  44, 255,  40,  40,  40, 255,  36,  36,  36, 255,  32,  32,  32, 255,  28,  28,  28, 255,  24,  24,  24, 255,  20,  20,  20, 255,  16,  16,  16, 255,  12,  12,  12, 255,   9,   9,   9, 255,   5,   5,   5, 255,  68,  68,  68, 255,  81,  81,  81, 255,  56,  56,  56, 255,  32,  32,  32, 255,   5,   5,   5, 244,
    5,   5,   5, 248,  32,  32,  32, 255,  56,  56,  56, 255,  81,  81,  81, 255,  90,  90,  90, 255,  15,  15,  15, 255,  11,  11,  11, 255,  15,  15,  15, 255,  19,  19,  19, 255,  23,  23,  23, 255,  27,  27,  27, 255,  31,  31,  31, 255,  35,  35,  35, 255,  39,  39,  39, 255,  43,  43,  43, 255,  47,  47,  47, 255,  51,  51,  51, 255,  55,  55,  55, 255,  59,  59,  59, 255,  63,  63,  63, 255,  66,  66,  66, 255,
   64,  64,  64, 255,  61,  61,  61, 255,  57,  57,  57, 255,  53,  53,  53, 255,  49,  49,  49, 255,  45,  45,  45, 255,  41,  41,  41, 255,  37,  37,  37, 255,  33,  33,  33, 255,  29,  29,  29, 255,  25,  25,  25, 255,  21,  21,  21, 255,  17,  17,  17, 255,  13,  13,  13, 255,   9,   9,   9, 255,   5,   5,   5, 255,  59,  59,  59, 255,  82,  82,  82, 255,  58,  58,  58, 255,  33,  33,  33, 255,   6,   6,   6, 244,
    5,   5,   5, 244,  32,  32,  32, 255,  56,  56,  56, 255,  81,  81,  81, 255,  90,  90,  90, 255,  45,  45,  45, 255,  11,  11,  11, 255,  15,  15,  15, 255,  19,  19,  19, 255,  23,  23,  23, 255,  27,  27,  27, 255,  31,  31,  31, 255,  35,  35,  35, 255,  39,  39,  39, 255,  43,  43,  43, 255,  47,  47,  47, 255,  51,  51,  51, 255,  55,  55,  55, 255,  59,  59,  59, 255,  63,  63,  63, 255,  65,  65,  65, 255,
   64,  64,  64, 255,  60,  60,  60, 255,  57,  57,  57, 255,  53,  53,  53, 255,  49,  49,  49, 255,  45,  45,  45, 255,  41,  41,  41, 255,  37,  37,  37, 255,  33,  33,  33, 255,  29,  29,  29, 255,  25,  25,  25, 255,  21,  21,  21, 255,  17,  17,  17, 255,  13,  13,  13, 255,   9,   9,   9, 255,   5,   5,   5, 255,  78,  78,  78, 255,  82,  82,  82, 255,  57,  57,  57, 255,  33,  33,  33, 255,   5,   5,   5, 245,
    4,   4,   4, 238,  30,  30,  30, 255,  55,  55,  55, 255,  79,  79,  79, 255,  89,  89,  89, 255,  77,  77,  77, 255,  11,  11,  11, 255,  15,  15,  15, 255,  19,  19,  19, 255,  23,  23,  23, 255,  27,  27,  27, 255,  30,  30,  30, 255,  34,  34,  34, 255,  38,  38,  38, 255,  42,  42,  42, 255,  46,  46,  46, 255,  50,  50,  50, 255,  93,  93,  93, 255,  57,  57,  57, 255,  60,  60,  60, 255,  62,  62,  62, 255,
   61,  61,  61, 255,  58,  58,  58, 255,  55,  55,  55, 255,  52,  52,  52, 255,  48,  48,  48, 255,  44,  44,  44, 255,  40,  40,  40, 255,  36,  36,  36, 255,  32,  32,  32, 255,  28,  28,  28, 255,  24,  24,  24, 255,  20,  20,  20, 255,  16,  16,  16, 255,  12,  12,  12, 255,   8,   8,   8, 255,  39,  39,  39, 255,  92,  92,  92, 255,  81,  81,  81, 255,  56,  56,  56, 255,  32,  32,  32, 255,   4,   4,   4, 244,
    2,   2,   2, 231,  28,  28,  28, 255,  52,  52,  52, 255,  76,  76,  76, 255,  87,  87,  87, 255, 102, 102, 102, 255,  10,  10,  10, 255,  14,  14,  14, 255,  18,  18,  18, 255,  22,  22,  22, 255,  26,  26,  26, 255,  30,  30,  30, 255,  33,  33,  33, 255,  37,  37,  37, 255,  41,  41,  41, 255,  74,  74,  74, 255, 201, 201, 201, 255, 183, 183, 183, 255,  54,  54,  54, 255,  57,  57,  57, 255,  58,  58,  58, 255,
   57,  57,  57, 255,  55,  55,  55, 255,  53,  53,  53, 255,  50,  50,  50, 255,  46,  46,  46, 255,  43,  43,  43, 255,  39,  39,  39, 255,  35,  35,  35, 255,  31,  31,  31, 255,  27,  27,  27, 255,  24,  24,  24, 255,  20,  20,  20, 255,  16,  16,  16, 255,  12,  12,  12, 255,   8,   8,   8, 255,  92,  92,  92, 255,  91,  91,  91, 255,  78,  78,  78, 255,  53,  53,  53, 255,  29,  29,  29, 255,   3,   3,   3, 227,
    0,   0,   0, 195,  24,  24,  24, 255,  48,  48,  48, 255,  72,  72,  72, 255,  94,  94,  94, 255, 107, 107, 107, 255,   9,   9,   9, 255,  13,  13,  13, 255,  17,  17,  17, 255,  21,  21,  21, 255,  25,  25,  25, 255,  28,  28,  28, 255,  32,  32,  32, 255,  39,  39,  39, 255, 137, 137, 137, 255, 227, 227, 227, 255, 114, 114, 114, 255,  49,  49,  49, 255,  51,  51,  51, 255,  53,  53,  53, 255,  54,  54,  54, 255,
   53,  53,  53, 255,  52,  52,  52, 255,  50,  50,  50, 255,  47,  47,  47, 255,  44,  44,  44, 255,  41,  41,  41, 255,  37,  37,  37, 255,  34,  34,  34, 255,  30,  30,  30, 255,  26,  26,  26, 255,  22,  22,  22, 255,  19,  19,  19, 255,  15,  15,  15, 255,  11,  11,  11, 255,  25,  25,  25, 255, 121, 121, 121, 255,  95,  95,  95, 255,  73,  73,  73, 255,  49,  49,  49, 255,  25,  25,  25, 255,   0,   0,   0, 205,
    0,   0,   0, 130,  19,  19,  19, 255,  43,  43,  43, 255,  67,  67,  67, 255,  90,  90,  90, 255, 106, 106, 106, 255,   8,   8,   8, 255,  12,  12,  12, 255,  16,  16,  16, 255,  19,  19,  19, 255,  23,  23,  23, 255,  27,  27,  27, 255,  72,  72,  72, 255, 210, 210, 210, 255, 170, 170, 170, 255,  53,  53,  53, 255,  43,  43,  43, 255,  46,  46,  46, 255,  48,  48,  48, 255,  49,  49,  49, 255,  50,  50,  50, 255,
   49,  49,  49, 255,  48,  48,  48, 255,  47,  47,  47, 255,  44,  44,  44, 255,  41,  41,  41, 255,  38,  38,  38, 255,  35,  35,  35, 255,  32,  32,  32, 255,  28,  28,  28, 255,  25,  25,  25, 255,  21,  21,  21, 255,  17,  17,  17, 255,  14,  14,  14, 255,  10,  10,  10, 255,  74,  74,  74, 255, 115, 115, 115, 255,  92,  92,  92, 255,  68,  68,  68, 255,  44,  44,  44, 255,  20,  20,  20, 255,   0,   0,   0, 156,
    0,   0,   0,  57,  12,  12,  12, 255,  36,  36,  36, 255,  60,  60,  60, 255,  83,  83,  83, 255,  93,  93,  93, 255,   8,   8,   8, 255,  10,  10,  10, 255,  14,  14,  14, 255,  18,  18,  18, 255,  28,  28,  28, 255, 148, 148, 148, 255, 218, 218, 218, 255,  86,  86,  86, 255,  34,  34,  34, 255,  37,  37,  37, 255,  40,  40,  40, 255,  42,  42,  42, 255,  44,  44,  44, 255,  45,  45,  45, 255,  46,  46,  46, 255,
   45,  45,  45, 255,  44,  44,  44, 255,  43,  43,  43, 255,  41,  41,  41, 255,  39,  39,  39, 255,  36,  36,  36, 255,  33,  33,  33, 255,  30,  30,  30, 255,  26,  26,  26, 255,  23,  23,  23, 255,  19,  19,  19, 255,  16,  16,  16, 255,  12,  12,  12, 255,   8,   8,   8, 255,  99,  99,  99, 255,  95,  95,  95, 255,  84,  84,  84, 255,  61,  61,  61, 255,  38,  38,  38, 255,  13,  13,  13, 255,   0,   0,   0,  79,
    0,   0,   0,   2,   3,   3,   3, 245,  29,  29,  29, 255,  52,  52,  52, 255,  75,  75,  75, 255,  88,  88,  88, 255,   6,   6,   6, 255,   9,   9,   9, 255,  12,  12,  12, 255,  76,  76,  76, 255, 217, 217, 217, 255, 145, 145, 145, 255,  33,  33,  33, 255,  29,  29,  29, 255,  32,  32,  32, 255,  34,  34,  34, 255,  37,  37,  37, 255,  39,  39,  39, 255,  40,  40,  40, 255,  41,  41,  41, 255,  42,  42,  42, 255,
   41,  41,  41, 255,  41,  41,  41, 255,  39,  39,  39, 255,  38,  38,  38, 255,  35,  35,  35, 255,  33,  33,  33, 255,  30,  30,  30, 255,  27,  27,  27, 255,  24,  24,  24, 255,  21,  21,  21, 255,  17,  17,  17, 255,  14,  14,  14, 255,  10,  10,  10, 255,   8,   8,   8, 255, 114, 114, 114, 255,  93,  93,  93, 255,  76,  76,  76, 255,  53,  53,  53, 255,  30,  30,  30, 255,   4,   4,   4, 241,   0,   0,   0,   4,
  255, 255, 255,   0,   0,   0,   0, 167,  20,  20,  20, 255,  43,  43,  43, 255,  65,  65,  65, 255,  87,  87,  87, 255,  51,  51,  51, 255,   7,   7,   7, 255,  96,  96,  96, 255, 204, 204, 204, 255,  60,  60,  60, 255,  20,  20,  20, 255,  23,  23,  23, 255,  26,  26,  26, 255,  29,  29,  29, 255,  31,  31,  31, 255,  33,  33,  33, 255,  35,  35,  35, 255,  36,  36,  36, 255,  37,  37,  37, 255,  38,  38,  38, 255,
   37,  37,  37, 255,  37,  37,  37, 255,  36,  36,  36, 255,  34,  34,  34, 255,  32,  32,  32, 255,  30,  30,  30, 255,  27,  27,  27, 255,  24,  24,  24, 255,  21,  21,  21, 255,  18,  18,  18, 255,  15,  15,  15, 255,  12,  12,  12, 255,   8,   8,   8, 255,  22,  22,  22, 255, 106, 106, 106, 255,  88,  88,  88, 255,  66,  66,  66, 255,  44,  44,  44, 255,  21,  21,  21, 255,   0,   0,   0, 165, 255, 255, 255,   0,
  255, 255, 255,   0,   0,   0,   0,  37,   8,   8,   8, 253,  32,  32,  32, 255,  54,  54,  54, 255,  76,  76,  76, 255,  93,  93,  93, 255,  19,  19,  19, 255,   9,   9,   9, 255,  13,  13,  13, 255,  14,  14,  14, 255,  17,  17,  17, 255,  20,  20,  20, 255,  23,  23,  23, 255,  25,  25,  25, 255,  28,  28,  28, 255,  30,  30,  30, 255,  31,  31,  31, 255,  32,  32,  32, 255,  33,  33,  33, 255,  34,  34,  34, 255,
   33,  33,  33, 255,  33,  33,  33, 255,  32,  32,  32, 255,  30,  30,  30, 255,  29,  29,  29, 255,  27,  27,  27, 255,  24,  24,  24, 255,  22,  22,  22, 255,  19,  19,  19, 255,  16,  16,  16, 255,  13,  13,  13, 255,  10,  10,  10, 255,   6,   6,   6, 255,  28,  28,  28, 255,  89,  89,  89, 255,  77,  77,  77, 255,  56,  56,  56, 255,  34,  34,  34, 255,  10,  10,  10, 254,   0,   0,   0,  46, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 194,  21,  21,  21, 255, 111, 111, 111, 255, 241, 241, 241, 255, 125, 125, 125, 255,  75,  75,  75, 255,   6,   6,   6, 255,   9,   9,   9, 255,  12,  12,  12, 255,  15,  15,  15, 255,  17,  17,  17, 255,  20,  20,  20, 255,  22,  22,  22, 255,  24,  24,  24, 255,  26,  26,  26, 255,  27,  27,  27, 255,  29,  29,  29, 255,  29,  29,  29, 255,  30,  30,  30, 255,
   29,  29,  29, 255,  29,  29,  29, 255,  28,  28,  28, 255,  27,  27,  27, 255,  25,  25,  25, 255,  23,  23,  23, 255,  21,  21,  21, 255,  19,  19,  19, 255,  16,  16,  16, 255,  13,  13,  13, 255,  10,  10,  10, 255,   7,   7,   7, 255,   4,   4,   4, 255,  63,  63,  63, 255,  85,  85,  85, 255,  65,  65,  65, 255,  44,  44,  44, 255,  22,  22,  22, 255,   1,   1,   1, 219, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  50,   7,   7,   7, 253,  98,  98,  98, 255, 235, 235, 235, 255, 114, 114, 114, 255,  90,  90,  90, 255,  47,  47,  47, 255,   6,   6,   6, 255,   9,   9,   9, 255,  12,  12,  12, 255,  14,  14,  14, 255,  17,  17,  17, 255,  19,  19,  19, 255,  21,  21,  21, 255,  22,  22,  22, 255,  24,  24,  24, 255,  25,  25,  25, 255,  25,  25,  25, 255,  26,  26,  26, 255,
   25,  25,  25, 255,  25,  25,  25, 255,  24,  24,  24, 255,  23,  23,  23, 255,  21,  21,  21, 255,  20,  20,  20, 255,  18,  18,  18, 255,  15,  15,  15, 255,  13,  13,  13, 255,  10,  10,  10, 255,   7,   7,   7, 255,   5,   5,   5, 255,  45,  45,  45, 255,  91,  91,  91, 255,  71,  71,  71, 255,  51,  51,  51, 255,  31,  31,  31, 255,   9,   9,   9, 253,   0,   0,   0,  52, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 149,  16,  16,  16, 255,  36,  36,  36, 255,  55,  55,  55, 255,  74,  74,  74, 255,  93,  93,  93, 255,  70,  70,  70, 255,  20,  20,  20, 255,   9,   9,   9, 255,  11,  11,  11, 255,  13,  13,  13, 255,  15,  15,  15, 255,  17,  17,  17, 255,  19,  19,  19, 255,  20,  20,  20, 255,  21,  21,  21, 255,  21,  21,  21, 255,  22,  22,  22, 255,
   21,  21,  21, 255,  21,  21,  21, 255,  20,  20,  20, 255,  19,  19,  19, 255,  18,  18,  18, 255,  16,  16,  16, 255,  14,  14,  14, 255,  12,  12,  12, 255,  10,  10,  10, 255,   7,   7,   7, 255,   5,   5,   5, 255,  34,  34,  34, 255,  93,  93,  93, 255,  75,  75,  75, 255,  56,  56,  56, 255,  37,  37,  37, 255,  17,  17,  17, 255,   0,   0,   0, 149, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,   2,   0,   0,   0, 219,  21,  21,  21, 255,  40,  40,  40, 255,  58,  58,  58, 255,  76,  76,  76, 255,  93,  93,  93, 255, 100, 100, 100, 255,  83,  83,  83, 255,  37,  37,  37, 255,  10,  10,  10, 255,  12,  12,  12, 255,  13,  13,  13, 255,  15,  15,  15, 255,  16,  16,  16, 255,  17,  17,  17, 255,  17,  17,  17, 255,  18,  18,  18, 255,
   17,  17,  17, 255,  17,  17,  17, 255,  16,  16,  16, 255,  15,  15,  15, 255,  14,  14,  14, 255,  12,  12,  12, 255,  11,  11,  11, 255,   9,   9,   9, 255,   7,   7,   7, 255,   4,   4,   4, 255,  34,  34,  34, 255,  90,  90,  90, 255,  77,  77,  77, 255,  59,  59,  59, 255,  41,  41,  41, 255,  22,  22,  22, 255,   1,   1,   1, 224,   0,   0,   0,   4, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  35,   3,   3,   3, 246,  23,  23,  23, 255,  41,  41,  41, 255,  58,  58,  58, 255,  74,  74,  74, 255,  90,  90,  90, 255,  90,  90,  90, 255, 117, 117, 117, 255,  95,  95,  95, 255,  22,  22,  22, 255,  10,  10,  10, 255,  11,  11,  11, 255,  12,  12,  12, 255,  13,  13,  13, 255,  13,  13,  13, 255,  13,  13,  13, 255,
   13,  13,  13, 255,  13,  13,  13, 255,  12,  12,  12, 255,  11,  11,  11, 255,  10,  10,  10, 255,   9,   9,   9, 255,   8,   8,   8, 255,  31,  31,  31, 255,  64,  64,  64, 255,  84,  84,  84, 255,  91,  91,  91, 255,  75,  75,  75, 255,  59,  59,  59, 255,  42,  42,  42, 255,  24,  24,  24, 255,   5,   5,   5, 246,   0,   0,   0,  39, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  61,   5,   5,   5, 249,  23,  23,  23, 255,  39,  39,  39, 255,  55,  55,  55, 255,  70,  70,  70, 255,  84,  84,  84, 255,  93,  93,  93, 255, 101, 101, 101, 255, 111, 111, 111, 255,  45,  45,  45, 255,   7,   7,   7, 255,   8,   8,   8, 255,   9,   9,   9, 255,   9,   9,   9, 255,  10,  10,  10, 255,
    9,   9,   9, 255,   9,   9,   9, 255,   8,   8,   8, 255,   8,   8,   8, 255,  24,  24,  24, 255,  81,  81,  81, 255, 110, 110, 110, 255, 101, 101, 101, 255,  92,  92,  92, 255,  85,  85,  85, 255,  71,  71,  71, 255,  56,  56,  56, 255,  40,  40,  40, 255,  24,  24,  24, 255,   6,   6,   6, 251,   0,   0,   0,  68, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  57,   4,   4,   4, 246,  21,  21,  21, 255,  36,  36,  36, 255,  50,  50,  50, 255,  63,  63,  63, 255,  75,  75,  75, 255,  87,  87,  87, 255,  93,  93,  93, 255,  89,  89,  89, 255,  69,  69,  69, 255,   9,   9,   9, 255,   5,   5,   5, 255,   5,   5,   5, 255,   6,   6,   6, 255,
    5,   5,   5, 255,   5,   5,   5, 255,  18,  18,  18, 255,  74,  74,  74, 255, 112, 112, 112, 255,  97,  97,  97, 255,  91,  91,  91, 255,  87,  87,  87, 255,  76,  76,  76, 255,  64,  64,  64, 255,  51,  51,  51, 255,  37,  37,  37, 255,  22,  22,  22, 255,   5,   5,   5, 250,   0,   0,   0,  73, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  43,   1,   1,   1, 235,  16,  16,  16, 255,  29,  29,  29, 255,  42,  42,  42, 255,  54,  54,  54, 255,  64,  64,  64, 255,  74,  74,  74, 255,  82,  82,  82, 255,  90,  90,  90, 255,  94,  94,  94, 255,  80,  80,  80, 255,  61,  61,  61, 255,  60,  60,  60, 255,
   66,  66,  66, 255,  77,  77,  77, 255,  87,  87,  87, 255,  90,  90,  90, 255,  90,  90,  90, 255,  83,  83,  83, 255,  75,  75,  75, 255,  65,  65,  65, 255,  54,  54,  54, 255,  43,  43,  43, 255,  30,  30,  30, 255,  17,  17,  17, 255,   1,   1,   1, 236,   0,   0,   0,  47, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,   5,   0,   0,   0, 167,   7,   7,   7, 253,  21,  21,  21, 255,  32,  32,  32, 255,  42,  42,  42, 255,  51,  51,  51, 255,  59,  59,  59, 255,  66,  66,  66, 255,  71,  71,  71, 255,  75,  75,  75, 255,  78,  78,  78, 255,  80,  80,  80, 255,
   80,  80,  80, 255,  78,  78,  78, 255,  76,  76,  76, 255,  72,  72,  72, 255,  66,  66,  66, 255,  59,  59,  59, 255,  52,  52,  52, 255,  43,  43,  43, 255,  32,  32,  32, 255,  21,  21,  21, 255,   8,   8,   8, 254,   0,   0,   0, 172,   0,   0,   0,   2, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  51,   0,   0,   0, 216,   8,   8,   8, 255,  19,  19,  19, 255,  28,  28,  28, 255,  36,  36,  36, 255,  42,  42,  42, 255,  47,  47,  47, 255,  51,  51,  51, 255,  54,  54,  54, 255,  55,  55,  55, 255,
   55,  55,  55, 255,  54,  54,  54, 255,  51,  51,  51, 255,  47,  47,  47, 255,  42,  42,  42, 255,  36,  36,  36, 255,  28,  28,  28, 255,  20,  20,  20, 255,   9,   9,   9, 254,   0,   0,   0, 211,   0,   0,   0,  64, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  51,   0,   0,   0, 178,   4,   4,   4, 246,  12,  12,  12, 255,  18,  18,  18, 255,  23,  23,  23, 255,  27,  27,  27, 255,  29,  29,  29, 255,  31,  31,  31, 255,
   31,  31,  31, 255,  29,  29,  29, 255,  27,  27,  27, 255,  23,  23,  23, 255,  18,  18,  18, 255,  11,  11,  11, 255,   4,   4,   4, 248,   0,   0,   0, 183,   0,   0,   0,  43, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,   4,   0,   0,   0,  82,   0,   0,   0, 148,   0,   0,   0, 200,   1,   1,   1, 228,   3,   3,   3, 242,   3,   3,   3, 241,
    3,   3,   3, 236,   2,   2,   2, 232,   1,   1,   1, 226,   0,   0,   0, 202,   0,   0,   0, 141,   0,   0,   0,  60,   0,   0,   0,   2, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
 };
const char* ZamSynthArtwork::knobData = (const char*)temp1;

static const unsigned char temp2[] = {
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  18,   0,   0,   0,  93,   0,   0,   0, 147,   0,   0,   0, 200,   0,   0,   0, 248,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 248,   0,   0,   0, 200,   0,   0,   0, 147,   0,   0,   0,  93,   0,   0,   0,  18, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  73,   0,   0,   0, 231,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,  12, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,
    0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,
    0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  31, 255,   0,   0,  12, 255,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 231,   0,   0,   0,  73, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,   9,   0,   0,   0, 150,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,  85, 255,   0,   0, 163, 255,   0,   0, 215, 255,   0,   0, 253, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 253, 255,   0,   0, 215, 255,   0,   0, 163, 255,   0,   0,  85, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 150,
    0,   0,   0,   9, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 151,   0,   0,   0, 255,   0,   0,  20, 254,   0,   0, 173, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 173, 255,   0,   0,  20, 254,   0,   0,   0, 255,   0,   0,   0, 151, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  65,   0,   0,   0, 254,
    0,   0,  20, 254,   0,   0, 229, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 229, 255,   0,   0,  20, 254,   0,   0,   0, 254,   0,   0,   0,  65, 255, 255, 255,   0,   0,   0,   0,  10,   0,   0,   0, 221,   0,   0,   0, 255,   0,   0, 169, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  18,  18, 255, 255,  24,  24, 255, 255,  24,  24, 255, 255,  24,  24, 255, 255,  24,  24, 255, 255,   3,   3, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 169, 255,   0,   0,   0, 255,   0,   0,   0, 221,   0,   0,   0,  10,   0,   0,   0,  94,   0,   0,   0, 255,   0,   0,  78, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  82,  82, 255, 255,
  251, 251, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 168, 168, 255, 255,   3,   3, 255, 255,  20,  20, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,   8,   8, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  19,  19, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,   9,   9, 255, 255,   0,   0, 255, 255,   7,   7, 255, 255,  32,  32, 255, 255,
   32,  32, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,   4,   4, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   6,   6, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,   5,   5, 255, 255,   0,   0, 255, 255,  12,  12, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,  32,  32, 255, 255,   4,   4, 255, 255,
   20,  20, 255, 255,  32,  32, 255, 255,   5,   5, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  26,  26, 255, 255,  31,  31, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0,  78, 255,   0,   0,   0, 255,   0,   0,   0,  94,
    0,   0,   0, 146,   0,   0,   0, 255,   0,   0, 159, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  18,  18, 255, 255, 250, 250, 255, 255, 255, 255, 255, 255, 175, 175, 255, 255, 144, 144, 255, 255, 150, 150, 255, 255, 250, 250, 255, 255, 255, 255, 255, 255,
   95,  95, 255, 255, 176, 176, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 109, 109, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 204, 204, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,  87,  87, 255, 255,  10,  10, 255, 255, 193, 193, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 171, 171, 255, 255,   4,   4, 255, 255,   8,   8, 255, 255,
  187, 187, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 178, 178, 255, 255,   6,   6, 255, 255, 119, 119, 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,  48,  48, 255, 255, 183, 183, 255, 255, 255, 255, 255, 255,  56,  56, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 223, 223, 255, 255,
  255, 255, 255, 255,  16,  16, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 159, 255,   0,   0,   0, 255,   0,   0,   0, 146,   0,   0,   0, 196,   0,   0,   0, 255,   0,   0, 209, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  25,  25, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,  22,  22, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 161, 161, 255, 255, 208, 208, 255, 255,  81,  81, 255, 255, 176, 176, 255, 255, 255, 255, 255, 255, 239, 239, 255, 255, 182, 182, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,  33,  33, 255, 255, 255, 255, 255, 255, 242, 242, 255, 255, 255, 255, 255, 255,  87,  87, 255, 255, 128, 128, 255, 255, 255, 255, 255, 255, 209, 209, 255, 255, 112, 112, 255, 255, 112, 112, 255, 255, 226, 226, 255, 255, 255, 255, 255, 255, 104, 104, 255, 255, 119, 119, 255, 255, 255, 255, 255, 255, 214, 214, 255, 255, 112, 112, 255, 255, 112, 112, 255, 255, 222, 222, 255, 255, 255, 255, 255, 255,
  112, 112, 255, 255,  57,  57, 255, 255, 128, 128, 255, 255, 143, 143, 255, 255, 255, 255, 255, 255, 236, 236, 255, 255, 128, 128, 255, 255, 128, 128, 255, 255,  22,  22, 255, 255, 183, 183, 255, 255, 255, 255, 255, 255,  56,  56, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 223, 223, 255, 255, 255, 255, 255, 255,  16,  16, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 209, 255,   0,   0,   0, 255,   0,   0,   0, 196,   0,   0,   0, 244,   0,   0,   8, 255,   0,   0, 251, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,  25,  25, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,  69,  69, 255, 255,  40,  40, 255, 255,  40,  40, 255, 255,  40,  40, 255, 255,   4,   4, 255, 255,   0,   0, 255, 255, 176, 176, 255, 255, 255, 255, 255, 255, 169, 169, 255, 255, 246, 246, 255, 255,   9,   9, 255, 255,   0,   0, 255, 255, 113, 113, 255, 255, 254, 254, 255, 255, 174, 174, 255, 255, 255, 255, 255, 255,  87,  87, 255, 255,
  135, 135, 255, 255, 255, 255, 255, 255, 120, 120, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 151, 151, 255, 255, 255, 255, 255, 255, 112, 112, 255, 255, 127, 127, 255, 255, 255, 255, 255, 255, 128, 128, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 143, 143, 255, 255, 255, 255, 255, 255, 120, 120, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  31,  31, 255, 255, 255, 255, 255, 255, 216, 216, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 183, 183, 255, 255, 255, 255, 255, 255,  56,  56, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 223, 223, 255, 255, 255, 255, 255, 255,  16,  16, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 251, 255,   0,   0,   8, 255,   0,   0,   0, 244,   0,   0,   0, 255,   0,   0,  31, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  12,  12, 255, 255, 232, 232, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
  255, 255, 255, 255, 255, 255, 255, 255, 178, 178, 255, 255,   8,   8, 255, 255, 176, 176, 255, 255, 255, 255, 255, 255,  99,  99, 255, 255, 255, 255, 255, 255,  72,  72, 255, 255,   0,   0, 255, 255, 190, 190, 255, 255, 205, 205, 255, 255, 152, 152, 255, 255, 255, 255, 255, 255,  87,  87, 255, 255, 135, 135, 255, 255, 255, 255, 255, 255, 120, 120, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 151, 151, 255, 255,
  255, 255, 255, 255, 112, 112, 255, 255, 127, 127, 255, 255, 255, 255, 255, 255, 128, 128, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 143, 143, 255, 255, 255, 255, 255, 255, 120, 120, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  31,  31, 255, 255, 255, 255, 255, 255, 216, 216, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 183, 183, 255, 255, 255, 255, 255, 255, 149, 149, 255, 255,
  120, 120, 255, 255, 120, 120, 255, 255, 238, 238, 255, 255, 255, 255, 255, 255,  16,  16, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0,  31, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,  31, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  44,  44, 255, 255, 174, 174, 255, 255, 176, 176, 255, 255, 176, 176, 255, 255, 177, 177, 255, 255, 250, 250, 255, 255, 255, 255, 255, 255, 100, 100, 255, 255, 176, 176, 255, 255, 255, 255, 255, 255,
   28,  28, 255, 255, 255, 255, 255, 255, 146, 146, 255, 255,  15,  15, 255, 255, 251, 251, 255, 255, 133, 133, 255, 255, 152, 152, 255, 255, 255, 255, 255, 255,  87,  87, 255, 255, 135, 135, 255, 255, 255, 255, 255, 255, 120, 120, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 151, 151, 255, 255, 255, 255, 255, 255, 112, 112, 255, 255, 127, 127, 255, 255, 255, 255, 255, 255, 128, 128, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255, 143, 143, 255, 255, 255, 255, 255, 255, 120, 120, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  31,  31, 255, 255, 255, 255, 255, 255, 216, 216, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 183, 183, 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,  16,  16, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0,  31, 255,   0,   0,   0, 255,   0,   0,   0, 243,   0,   0,   7, 255,   0,   0, 250, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   7,   7, 255, 255,  64,  64, 255, 255,  62,  62, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 201, 201, 255, 255, 255, 255, 255, 255, 102, 102, 255, 255, 176, 176, 255, 255, 255, 255, 255, 255,   0,   0, 255, 255, 213, 213, 255, 255, 219, 219, 255, 255,  87,  87, 255, 255, 255, 255, 255, 255,  62,  62, 255, 255,
  152, 152, 255, 255, 255, 255, 255, 255,  87,  87, 255, 255, 135, 135, 255, 255, 255, 255, 255, 255, 120, 120, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 151, 151, 255, 255, 255, 255, 255, 255, 112, 112, 255, 255, 127, 127, 255, 255, 255, 255, 255, 255, 128, 128, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 143, 143, 255, 255, 255, 255, 255, 255, 120, 120, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
   31,  31, 255, 255, 255, 255, 255, 255, 216, 216, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 183, 183, 255, 255, 255, 255, 255, 255, 112, 112, 255, 255,  72,  72, 255, 255,  72,  72, 255, 255, 232, 232, 255, 255, 255, 255, 255, 255,  16,  16, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 250, 255,   0,   0,   7, 255,   0,   0,   0, 243,   0,   0,   0, 194,   0,   0,   0, 255,   0,   0, 207, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  41,  41, 255, 255, 255, 255, 255, 255,
  255, 255, 255, 255,  22,  22, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 213, 213, 255, 255, 255, 255, 255, 255, 102, 102, 255, 255, 176, 176, 255, 255, 255, 255, 255, 255,   0,   0, 255, 255, 143, 143, 255, 255, 255, 255, 255, 255, 198, 198, 255, 255, 241, 241, 255, 255,   4,   4, 255, 255, 152, 152, 255, 255, 255, 255, 255, 255,  87,  87, 255, 255, 135, 135, 255, 255, 255, 255, 255, 255, 126, 126, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255, 158, 158, 255, 255, 255, 255, 255, 255, 112, 112, 255, 255, 127, 127, 255, 255, 255, 255, 255, 255, 134, 134, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 150, 150, 255, 255, 255, 255, 255, 255, 120, 120, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  31,  31, 255, 255, 255, 255, 255, 255, 216, 216, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
  183, 183, 255, 255, 255, 255, 255, 255,  56,  56, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 223, 223, 255, 255, 255, 255, 255, 255,  16,  16, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 207, 255,   0,   0,   0, 255,   0,   0,   0, 194,
    0,   0,   0, 144,   0,   0,   0, 255,   0,   0, 157, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  17,  17, 255, 255, 225, 225, 255, 255, 255, 255, 255, 255, 242, 242, 255, 255, 232, 232, 255, 255, 234, 234, 255, 255, 255, 255, 255, 255, 248, 248, 255, 255,
   56,  56, 255, 255, 176, 176, 255, 255, 255, 255, 255, 255,   0,   0, 255, 255,  62,  62, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 166, 166, 255, 255,   0,   0, 255, 255, 152, 152, 255, 255, 255, 255, 255, 255,  87,  87, 255, 255,  87,  87, 255, 255, 255, 255, 255, 255, 244, 244, 255, 255, 192, 192, 255, 255, 193, 193, 255, 255, 253, 253, 255, 255, 251, 251, 255, 255,  66,  66, 255, 255,  80,  80, 255, 255,
  254, 254, 255, 255, 246, 246, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255, 251, 251, 255, 255, 252, 252, 255, 255,  73,  73, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  31,  31, 255, 255, 255, 255, 255, 255, 216, 216, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 183, 183, 255, 255, 255, 255, 255, 255,  56,  56, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 223, 223, 255, 255,
  255, 255, 255, 255,  16,  16, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 157, 255,   0,   0,   0, 255,   0,   0,   0, 144,   0,   0,   0,  92,   0,   0,   0, 255,   0,   0,  74, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  35,  35, 255, 255, 185, 185, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255,  75,  75, 255, 255,   0,   0, 255, 255, 130, 130, 255, 255, 189, 189, 255, 255,   0,   0, 255, 255,   1,   1, 255, 255, 179, 179, 255, 255,
  192, 192, 255, 255,  66,  66, 255, 255,   0,   0, 255, 255, 112, 112, 255, 255, 192, 192, 255, 255,  62,  62, 255, 255,   0,   0, 255, 255, 106, 106, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255,  84,  84, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  99,  99, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255, 192, 192, 255, 255,  90,  90, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,  21,  21, 255, 255, 191, 191, 255, 255, 160, 160, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 135, 135, 255, 255, 192, 192, 255, 255,  40,  40, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255, 166, 166, 255, 255, 191, 191, 255, 255,  10,  10, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0,  74, 255,   0,   0,   0, 255,   0,   0,   0,  92,   0,   0,   0,   9,   0,   0,   0, 218,   0,   0,   0, 255,   0,   0, 163, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 163, 255,
    0,   0,   0, 255,   0,   0,   0, 218,   0,   0,   0,   9, 255, 255, 255,   0,   0,   0,   0,  60,   0,   0,   0, 254,   0,   0,  17, 254,   0,   0, 225, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 225, 255,   0,   0,  17, 254,   0,   0,   0, 254,   0,   0,   0,  60, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 145,
    0,   0,   0, 255,   0,   0,  16, 254,   0,   0, 165, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 165, 255,   0,   0,  16, 254,   0,   0,   0, 255,   0,   0,   0, 145, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,   7,   0,   0,   0, 142,   0,   0,   0, 254,   0,   0,   0, 255,   0,   0,  77, 255,   0,   0, 155, 255,   0,   0, 207, 255,
    0,   0, 250, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,
    0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 255, 255,   0,   0, 250, 255,   0,   0, 207, 255,   0,   0, 155, 255,   0,   0,  77, 255,
    0,   0,   0, 255,   0,   0,   0, 254,   0,   0,   0, 142,   0,   0,   0,   7, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  66,   0,   0,   0, 226,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   7, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,
    0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,
    0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,
    0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,  23, 255,   0,   0,   7, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 226,   0,   0,   0,  66, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  15,   0,   0,   0,  85,   0,   0,   0, 139,   0,   0,   0, 192,   0,   0,   0, 240,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,
    0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,
    0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,
    0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 240,   0,   0,   0, 192,   0,   0,   0, 139,   0,   0,   0,  85,   0,   0,   0,  15, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,};
const char* ZamSynthArtwork::smoothrData = (const char*)temp2;

static const unsigned char temp3[] = {
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  18,   0,   0,   0,  93,   0,   0,   0, 147,   0,   0,   0, 200,   0,   0,   0, 248,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 248,   0,   0,   0, 200,   0,   0,   0, 147,   0,   0,   0,  93,   0,   0,   0,  18, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  73,   0,   0,   0, 231,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,  12,  12, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,
    0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,
    0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  31,  31, 255,   0,  12,  12, 255,
    0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 231,   0,   0,   0,  73, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,   9,   0,   0,   0, 150,   0,   0,   0, 255,   0,   0,   0, 255,   0,  84,  85, 255,   0, 161, 163, 255,   0, 212, 215, 255,   0, 250, 253, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
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    0,   0,   0, 255,   0, 230, 233, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0,  42,  42, 255,   0,   0,   0, 255,   0, 151, 153, 255,   0,  78,  79, 255,   0,   0,   0, 255,   0, 252, 255, 255,   0, 111, 112, 255,   0,   0,   0, 255,   0,  56,  57, 255,   0,  14,  14, 255,   0, 248, 251, 255,   0, 102, 103, 255,   0,   0,   0, 255,   0, 166, 168, 255,   0, 119, 120, 255,   0,   0,   0, 255,   0, 127, 129, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0,  96,  97, 255,   0,   0,   0, 255,   0, 141, 143, 255,   0, 126, 128, 255,   0,   0,   0, 255,   0, 120, 121, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 104, 105, 255,   0,   0,   0, 255,   0, 133, 135, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 221, 224, 255,   0,   0,   0, 255,   0,  39,  39, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0,  71,  72, 255,   0,   0,   0, 255,   0, 197, 199, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0,  32,  32, 255,   0,   0,   0, 255,   0, 236, 239, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 205, 207, 255,   0,   0,   0, 255,   0,   0,   0, 194,
    0,   0,   0, 144,   0,   0,   0, 255,   0, 155, 157, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 235, 238, 255,   0,  30,  30, 255,   0,   0,   0, 255,   0,  13,  13, 255,   0,  23,  23, 255,   0,  21,  21, 255,   0,   0,   0, 255,   0,   7,   7, 255,
    0, 197, 199, 255,   0,  78,  79, 255,   0,   0,   0, 255,   0, 252, 255, 255,   0, 191, 193, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,  88,  89, 255,   0, 252, 255, 255,   0, 102, 103, 255,   0,   0,   0, 255,   0, 166, 168, 255,   0, 166, 168, 255,   0,   0,   0, 255,   0,  11,  11, 255,   0,  62,  63, 255,   0,  61,  62, 255,   0,   2,   2, 255,   0,   4,   4, 255,   0, 187, 189, 255,   0, 173, 175, 255,
    0,   1,   1, 255,   0,   9,   9, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0,   4,   4, 255,   0,   3,   3, 255,   0, 180, 182, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 221, 224, 255,   0,   0,   0, 255,   0,  39,  39, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0,  71,  72, 255,   0,   0,   0, 255,   0, 197, 199, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0,  32,  32, 255,
    0,   0,   0, 255,   0, 236, 239, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 155, 157, 255,   0,   0,   0, 255,   0,   0,   0, 144,   0,   0,   0,  92,   0,   0,   0, 255,   0,  73,  74, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 217, 220, 255,   0,  69,  70, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0, 178, 180, 255,   0, 252, 255, 255,   0, 124, 125, 255,   0,  65,  66, 255,   0, 252, 255, 255,   0, 251, 254, 255,   0,  75,  76, 255,
    0,  62,  63, 255,   0, 187, 189, 255,   0, 252, 255, 255,   0, 141, 143, 255,   0,  62,  63, 255,   0, 191, 193, 255,   0, 252, 255, 255,   0, 147, 149, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0, 169, 171, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 153, 155, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0,  62,  63, 255,   0, 163, 165, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 231, 234, 255,   0,  63,  64, 255,   0,  94,  95, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 119, 120, 255,   0,  62,  63, 255,   0, 212, 215, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0,  88,  89, 255,   0,  63,  64, 255,   0, 242, 245, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0,  73,  74, 255,   0,   0,   0, 255,   0,   0,   0,  92,   0,   0,   0,   9,   0,   0,   0, 218,   0,   0,   0, 255,   0, 161, 163, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 161, 163, 255,
    0,   0,   0, 255,   0,   0,   0, 218,   0,   0,   0,   9, 255, 255, 255,   0,   0,   0,   0,  60,   0,   0,   0, 254,   0,  17,  17, 254,   0, 222, 225, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 222, 225, 255,   0,  17,  17, 254,   0,   0,   0, 254,   0,   0,   0,  60, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 145,
    0,   0,   0, 255,   0,  16,  16, 254,   0, 163, 165, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 163, 165, 255,   0,  16,  16, 254,   0,   0,   0, 255,   0,   0,   0, 145, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,   7,   0,   0,   0, 142,   0,   0,   0, 254,   0,   0,   0, 255,   0,  76,  77, 255,   0, 153, 155, 255,   0, 205, 207, 255,
    0, 247, 250, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,
    0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 252, 255, 255,   0, 247, 250, 255,   0, 205, 207, 255,   0, 153, 155, 255,   0,  76,  77, 255,
    0,   0,   0, 255,   0,   0,   0, 254,   0,   0,   0, 142,   0,   0,   0,   7, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  66,   0,   0,   0, 226,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   7,   7, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,
    0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,
    0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,
    0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,  23,  23, 255,   0,   7,   7, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 226,   0,   0,   0,  66, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0,  15,   0,   0,   0,  85,   0,   0,   0, 139,   0,   0,   0, 192,   0,   0,   0, 240,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,
    0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,
    0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,
    0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 248,   0,   0,   0, 240,   0,   0,   0, 192,   0,   0,   0, 139,   0,   0,   0,  85,   0,   0,   0,  15, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,};
const char* ZamSynthArtwork::smoothyData = (const char*)temp3;

static const unsigned char temp4[] = {
    0,   0,   0,  61,   0,   0,   0, 199,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 199,   0,   0,   0,  61,   0,   0,   0, 203,   0,   0,   0, 255,   0,   0,   0, 223,   0,   0,   0, 216,   0,   0,   0, 216,   0,   0,   0, 216,   0,   0,   0, 216,   0,   0,   0, 216,   0,   0,   0, 216,
    0,   0,   0, 223,   0,   0,   0, 255,   0,   0,   0, 203,   0,   0,   0, 255,   0,   0,   0, 224, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 224,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,
    0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 220,   0,   0,   0, 128,   0,   0,   0, 128,   0,   0,   0, 128,   0,   0,   0, 128,   0,   0,   0, 128,   0,   0,   0, 128,   0,   0,   0, 128,   0,   0,   0, 128,   0,   0,   0, 220,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   4, 220,   0,   0,  23, 119,
    0,   0,  23, 119,   0,   0,  23, 119,   0,   0,  23, 119,   0,   0,  23, 119,   0,   0,  23, 119,   0,   0,  23, 119,   0,   0,  23, 119,   0,   0,   4, 220,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,  14, 219,   0,   0, 180,  88,   0,   0, 180,  88,   0,   0, 180,  88,   0,   0, 180,  88,   0,   0, 180,  88,   0,   0, 180,  88,   0,   0, 180,  88,   0,   0, 180,  88,   0,   0,  14, 219,   0,   0,   0, 255,
    0,   0,   0, 255,   0,   0,  17, 219,   0,   0, 181, 113,   0,   0, 181, 113,   0,   0, 181, 113,   0,   0, 181, 113,   0,   0, 181, 113,   0,   0, 181, 113,   0,   0, 181, 113,   0,   0, 181, 113,   0,   0,  17, 219,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,  21, 220,   0,   0, 180, 139,   0,   0, 180, 139,   0,   0, 180, 139,   0,   0, 180, 139,   0,   0, 180, 139,   0,   0, 180, 139,   0,   0, 180, 139,
    0,   0, 180, 139,   0,   0,  21, 220,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,  25, 221,   0,   0, 180, 164,   0,   0, 180, 164,   0,   0, 180, 164,   0,   0, 180, 164,   0,   0, 180, 164,   0,   0, 180, 164,   0,   0, 180, 164,   0,   0, 180, 164,   0,   0,  25, 221,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,  29, 221,   0,   0, 180, 190,   0,   0, 180, 190,   0,   0, 180, 190,   0,   0, 180, 190,
    0,   0, 180, 190,   0,   0, 180, 190,   0,   0, 180, 190,   0,   0, 180, 190,   0,   0,  29, 221,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,  33, 222,   0,   0, 180, 215,   0,   0, 180, 215,   0,   0, 180, 215,   0,   0, 180, 215,   0,   0, 180, 215,   0,   0, 180, 215,   0,   0, 180, 215,   0,   0, 180, 215,   0,   0,  33, 222,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,  36, 228,   0,   0, 180, 241,
    0,   0, 180, 241,   0,   0, 180, 241,   0,   0, 180, 241,   0,   0, 180, 241,   0,   0, 180, 241,   0,   0, 180, 241,   0,   0, 180, 241,   0,   0,  36, 228,   0,   0,   0, 255,   0,   0,   0, 203,   0,   0,   6, 255,   0,   0,  38, 227,   0,   0,  39, 223,   0,   0,  39, 223,   0,   0,  39, 223,   0,   0,  39, 223,   0,   0,  39, 223,   0,   0,  39, 223,   0,   0,  38, 227,   0,   0,   6, 255,   0,   0,   0, 203,
    0,   0,   0,  61,   0,   0,   0, 203,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 203,   0,   0,   0,  61,};
const char* ZamSynthArtwork::toggleoffData = (const char*)temp4;

static const unsigned char temp5[] = {
    0,   0,   0,  81,   0,   0,   0, 222,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 222,   0,   0,   0,  81,   0,   0,   0, 225,   0,   6,   0, 254,   0,  39,   0, 224,   0,  39,   0, 223,   0,  39,   0, 223,   0,  39,   0, 223,   0,  39,   0, 223,   0,  39,   0, 223,   0,  39,   0, 223,
    0,  39,   0, 224,   0,   6,   0, 254,   0,   0,   0, 225,   0,   0,   0, 255,   0,  36,   0, 224,   0, 180,   0, 238,   0, 180,   0, 238,   0, 180,   0, 238,   0, 180,   0, 238,   0, 180,   0, 238,   0, 180,   0, 238,   0, 180,   0, 238,   0, 180,   0, 238,   0,  36,   0, 224,   0,   0,   0, 255,   0,   0,   0, 255,   0,  32,   0, 222,   0, 180,   0, 214,   0, 180,   0, 214,   0, 180,   0, 214,   0, 180,   0, 214,
    0, 180,   0, 214,   0, 180,   0, 214,   0, 180,   0, 214,   0, 180,   0, 214,   0,  32,   0, 222,   0,   0,   0, 255,   0,   0,   0, 255,   0,  29,   0, 221,   0, 179,   0, 189,   0, 179,   0, 189,   0, 179,   0, 189,   0, 179,   0, 189,   0, 179,   0, 189,   0, 179,   0, 189,   0, 179,   0, 189,   0, 179,   0, 189,   0,  29,   0, 221,   0,   0,   0, 255,   0,   0,   0, 255,   0,  25,   0, 221,   0, 180,   0, 164,
    0, 180,   0, 164,   0, 180,   0, 164,   0, 180,   0, 164,   0, 180,   0, 164,   0, 180,   0, 164,   0, 180,   0, 164,   0, 180,   0, 164,   0,  25,   0, 221,   0,   0,   0, 255,   0,   0,   0, 255,   0,  22,   0, 220,   0, 180,   0, 140,   0, 180,   0, 140,   0, 180,   0, 140,   0, 180,   0, 140,   0, 180,   0, 140,   0, 180,   0, 140,   0, 180,   0, 140,   0, 180,   0, 140,   0,  22,   0, 220,   0,   0,   0, 255,
    0,   0,   0, 255,   0,  17,   0, 219,   0, 180,   0, 115,   0, 180,   0, 115,   0, 180,   0, 115,   0, 180,   0, 115,   0, 180,   0, 115,   0, 180,   0, 115,   0, 180,   0, 115,   0, 180,   0, 115,   0,  17,   0, 219,   0,   0,   0, 255,   0,   0,   0, 255,   0,  14,   0, 219,   0, 181,   0,  90,   0, 181,   0,  90,   0, 181,   0,  90,   0, 181,   0,  90,   0, 181,   0,  90,   0, 181,   0,  90,   0, 181,   0,  90,
    0, 181,   0,  90,   0,  14,   0, 219,   0,   0,   0, 255,   0,   0,   0, 255,   0,   5,   0, 223,   0,   3,   0, 235,   0,   3,   0, 235,   0,   3,   0, 235,   0,   3,   0, 235,   0,   3,   0, 235,   0,   3,   0, 235,   0,   3,   0, 235,   0,   3,   0, 235,   0,   5,   0, 223,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,
    0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 216, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 216,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 217, 255, 255, 255,   0,
  255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0, 255, 255, 255,   0,   0,   0,   0, 217,   0,   0,   0, 255,   0,   0,   0, 225,   0,   0,   0, 254,   0,   0,   0, 217,   0,   0,   0, 216,   0,   0,   0, 216,   0,   0,   0, 216,   0,   0,   0, 216,   0,   0,   0, 216,   0,   0,   0, 216,   0,   0,   0, 217,   0,   0,   0, 254,   0,   0,   0, 225,
    0,   0,   0,  83,   0,   0,   0, 225,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 255,   0,   0,   0, 225,   0,   0,   0,  83,};
const char* ZamSynthArtwork::toggleonData = (const char*)temp5;

static const unsigned char temp6[] = {
  220, 220, 220, 189, 189, 189, 163, 163, 163, 150, 150, 150, 146, 146, 146, 146, 146, 146, 145, 145, 145, 145, 145, 145, 144, 144, 144, 142, 142, 142, 141, 141, 141, 141, 141, 141, 140, 140, 140, 138, 138, 138, 138, 138, 138, 138, 138, 138, 133, 133, 133, 133, 133, 133, 135, 135, 135, 134, 134, 134, 133, 133, 133,
  131, 131, 131, 130, 130, 130, 130, 130, 130, 130, 130, 130, 128, 128, 128, 125, 125, 125, 124, 124, 124, 123, 123, 123, 123, 123, 123, 123, 123, 123, 121, 121, 121, 119, 119, 119, 118, 118, 118, 118, 118, 118, 115, 115, 115, 113, 113, 113, 114, 114, 114, 114, 114, 114, 112, 112, 112, 112, 112, 112, 107, 107, 107,
  106, 106, 106, 107, 107, 107, 105, 105, 105, 105, 105, 105, 104, 104, 104, 102, 102, 102, 102, 102, 102, 104, 104, 104, 103, 103, 103, 100, 100, 100,  99,  99,  99, 100, 100, 100,  99,  99,  99,  99,  99,  99,  98,  98,  98, 100, 100, 100,  99,  99,  99, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
   98,  98,  98, 100, 100, 100, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 102, 102, 102, 104, 104, 104, 104, 104, 104, 105, 105, 105, 108, 108, 108, 108, 108, 108, 108, 108, 108, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 112, 112, 112, 113, 113, 113, 114, 114, 114,
  114, 114, 114, 114, 114, 114, 115, 115, 115, 116, 116, 116, 115, 115, 115, 117, 117, 117, 119, 119, 119, 119, 119, 119, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 122, 122, 122, 122, 122, 122, 122, 122, 122, 125, 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 126, 126, 126, 126, 126,
  129, 129, 129, 129, 129, 129, 130, 130, 130, 130, 130, 130, 130, 130, 130, 129, 129, 129, 129, 129, 129, 132, 132, 132, 133, 133, 133, 133, 133, 133, 134, 134, 134, 135, 135, 135, 135, 135, 135, 135, 135, 135, 136, 136, 136, 137, 137, 137, 138, 138, 138, 140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,
  141, 141, 141, 142, 142, 142, 145, 145, 145, 145, 145, 145, 145, 145, 145, 145, 145, 145, 144, 144, 144, 145, 145, 145, 147, 147, 147, 149, 149, 149, 149, 149, 149, 149, 149, 149, 151, 151, 151, 150, 150, 150, 152, 152, 152, 154, 154, 154, 154, 154, 154, 154, 154, 154, 153, 153, 153, 154, 154, 154, 155, 155, 155,
  155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 156, 156, 156, 156, 156, 156, 156, 156, 156, 157, 157, 157, 159, 159, 159, 158, 158, 158, 160, 160, 160, 160, 160, 160, 162, 162, 162, 162, 162, 162, 162, 162, 162, 166, 166, 166, 166, 166, 166, 166, 166, 166, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  165, 165, 165, 167, 167, 167, 169, 169, 169, 169, 169, 169, 169, 169, 169, 171, 171, 171, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 171, 171, 171, 169, 169, 169, 169, 169, 169, 168, 168, 168, 168, 168, 168, 166, 166, 166, 166, 166, 166, 167, 167, 167, 166, 166, 166, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 166, 166, 166, 162, 162, 162, 162, 162, 162, 163, 163, 163, 163, 163, 163, 163, 163, 163, 164, 164, 164, 163, 163, 163, 162, 162, 162, 162, 162, 162, 162, 162, 162, 161, 161, 161, 161, 161, 161, 160, 160, 160, 156, 156, 156, 155, 155, 155, 156, 156, 156, 156, 156, 156, 155, 155, 155, 154, 154, 154,
  154, 154, 154, 152, 152, 152, 150, 150, 150, 150, 150, 150, 151, 151, 151, 150, 150, 150, 149, 149, 149, 149, 149, 149, 147, 147, 147, 146, 146, 146, 146, 146, 146, 146, 146, 146, 147, 147, 147, 145, 145, 145, 144, 144, 144, 144, 144, 144, 144, 144, 144, 145, 145, 145, 145, 145, 145, 145, 145, 145, 144, 144, 144,
  143, 143, 143, 142, 142, 142, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 139, 139, 139, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 135, 135, 135, 135, 135, 135, 132, 132, 132, 130, 130, 130, 131, 131, 131, 131, 131, 131, 131, 131, 131,
  130, 130, 130, 130, 130, 130, 130, 130, 130, 129, 129, 129, 126, 126, 126, 127, 127, 127, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 123, 123, 123, 123, 123, 123, 123, 123, 123, 121, 121, 121, 121, 121, 121, 121, 121, 121, 120, 120, 120, 120, 120, 120, 119, 119, 119, 117, 117, 117, 117, 117, 117,
  117, 117, 117, 116, 116, 116, 115, 115, 115, 115, 115, 115, 115, 115, 115, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 110, 110, 110, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 109, 109, 109, 110, 110, 110, 109, 109, 109, 105, 105, 105, 105, 105, 105, 106, 106, 106, 107, 107, 107,
  108, 108, 108, 107, 107, 107, 107, 107, 107, 109, 109, 109, 106, 106, 106, 105, 105, 105, 109, 109, 109, 108, 108, 108, 107, 107, 107, 108, 108, 108, 110, 110, 110, 113, 113, 113, 114, 114, 114, 114, 114, 114, 113, 113, 113, 112, 112, 112, 113, 113, 113, 118, 118, 118, 118, 118, 118, 116, 116, 116, 118, 118, 118,
  120, 120, 120, 120, 120, 120, 123, 123, 123, 124, 124, 124, 124, 124, 124, 125, 125, 125, 127, 127, 127, 128, 128, 128, 129, 129, 129, 130, 130, 130, 131, 131, 131, 134, 134, 134, 136, 136, 136, 135, 135, 135, 135, 135, 135, 138, 138, 138, 140, 140, 140, 140, 140, 140, 142, 142, 142, 142, 142, 142, 142, 142, 142,
  144, 144, 144, 146, 146, 146, 147, 147, 147, 146, 146, 146, 147, 147, 147, 148, 148, 148, 147, 147, 147, 151, 151, 151, 153, 153, 153, 151, 151, 151, 153, 153, 153, 154, 154, 154, 156, 156, 156, 164, 164, 164, 214, 214, 214, 177, 177, 177, 144, 144, 144, 131, 131, 131, 128, 128, 128, 124, 124, 124, 123, 123, 123,
  124, 124, 124, 120, 120, 120, 119, 119, 119, 121, 121, 121, 119, 119, 119, 116, 116, 116, 115, 115, 115, 113, 113, 113, 113, 113, 113, 109, 109, 109, 107, 107, 107, 109, 109, 109, 108, 108, 108, 108, 108, 108, 107, 107, 107, 105, 105, 105, 104, 104, 104, 103, 103, 103, 101, 101, 101,  99,  99,  99,  99,  99,  99,
   99,  99,  99,  99,  99,  99,  99,  99,  99,  98,  98,  98,  97,  97,  97,  98,  98,  98,  98,  98,  98,  98,  98,  98,  96,  96,  96,  98,  98,  98, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 102, 102, 102, 102, 102, 102, 102, 102, 102, 101, 101, 101, 102, 102, 102, 104, 104, 104, 104, 104, 104,
  105, 105, 105, 107, 107, 107, 109, 109, 109, 109, 109, 109, 108, 108, 108, 110, 110, 110, 111, 111, 111, 111, 111, 111, 114, 114, 114, 114, 114, 114, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 119, 119, 119, 122, 122, 122, 121, 121, 121, 121, 121, 121, 123, 123, 123, 122, 122, 122,
  123, 123, 123, 123, 123, 123, 123, 123, 123, 124, 124, 124, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 129, 129, 129, 132, 132, 132, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 138, 138, 138, 139, 139, 139,
  139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 141, 141, 141, 143, 143, 143, 143, 143, 143, 143, 143, 143, 144, 144, 144, 144, 144, 144, 144, 144, 144, 143, 143, 143, 143, 143, 143, 146, 146, 146, 147, 147, 147, 147, 147, 147, 148, 148, 148, 148, 148, 148, 149, 149, 149, 148, 148, 148, 149, 149, 149,
  152, 152, 152, 151, 151, 151, 150, 150, 150, 152, 152, 152, 153, 153, 153, 153, 153, 153, 153, 153, 153, 154, 154, 154, 157, 157, 157, 158, 158, 158, 158, 158, 158, 158, 158, 158, 159, 159, 159, 160, 160, 160, 163, 163, 163, 163, 163, 163, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 165, 165, 165,
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  183, 183, 183, 183, 183, 183, 184, 184, 184, 184, 184, 184, 185, 185, 185, 186, 186, 186, 186, 186, 186, 186, 186, 186, 187, 187, 187, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192, 192, 193, 193, 193, 193, 193, 193,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 195, 195, 195, 195, 196, 196, 196, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 199, 199, 199, 199, 199, 199, 198, 198, 198, 198, 198, 198, 198, 198, 198,
  195, 195, 195, 195, 195, 195, 194, 194, 194, 191, 191, 191, 190, 190, 190, 190, 190, 190, 191, 191, 191, 192, 192, 192, 188, 188, 188, 187, 187, 187, 188, 188, 188, 186, 186, 186, 186, 186, 186, 185, 185, 185, 185, 185, 185, 185, 185, 185, 183, 183, 183, 184, 184, 184, 181, 181, 181, 176, 176, 176, 165, 165, 165,
  143, 143, 143, 113, 113, 113, 150, 150, 150, 163, 163, 163, 166, 166, 166, 164, 164, 164, 167, 167, 167, 171, 171, 171, 166, 166, 166, 181, 181, 181, 110, 110, 110,   0,   0,   0,   6,   6,   6,  38,  38,  38,  54,  54,  54,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,
   56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  52,  52,  52,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  47,  47,  47,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,
   41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,
   31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  30,  29,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,
    3,   3,   3,   3,   3,   3,   1,   1,   1,   1,   1,   1,   0,   0,   0,  36,  36,  36, 155, 155, 155, 168, 168, 168, 165, 165, 165, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 169, 169, 169, 169, 169, 169, 170, 170, 170, 170, 170, 170, 171, 171, 171, 172, 172, 172, 172, 172, 172, 173, 173, 173,
  174, 174, 174, 174, 174, 174, 175, 175, 175, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 177, 177, 177, 178, 178, 178, 179, 179, 179, 180, 180, 180, 180, 180, 180, 180, 180, 180, 181, 181, 181, 182, 182, 182, 183, 183, 183, 183, 183, 183, 183, 183, 183, 184, 184, 184, 184, 184, 184,
  185, 185, 185, 185, 185, 185, 185, 185, 185, 186, 186, 186, 186, 186, 186, 187, 187, 187, 188, 188, 188, 189, 189, 189, 190, 190, 190, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192, 192, 193, 193, 193, 193, 193, 193, 194, 194, 194, 195, 195, 195, 195, 195, 195,
  196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 200, 200, 200, 199, 199, 199, 198, 198, 198, 199, 199, 199, 200, 200, 200, 197, 197, 197, 197, 197, 197, 199, 199, 199, 196, 196, 196, 195, 195, 195, 196, 196, 196, 197, 197, 197, 198, 198, 198,
  196, 196, 196, 192, 192, 192, 191, 191, 191, 189, 189, 189, 187, 187, 187, 188, 188, 188, 186, 186, 186, 186, 186, 186, 186, 186, 186, 185, 185, 185, 184, 184, 184, 182, 182, 182, 181, 181, 181, 168, 168, 168, 139, 139, 139, 113, 113, 113, 152, 152, 152, 164, 164, 164, 167, 167, 167, 168, 168, 168, 169, 169, 169,
  168, 168, 168, 179, 179, 179, 134, 134, 134,   0,   0,   0,  25,  25,  25,  70,  70,  70,  72,  72,  72,  70,  70,  70,  69,  69,  69,  69,  69,  69,  69,  69,  69,  68,  68,  68,  68,  68,  68,  68,  68,  68,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   66,  66,  66,  65,  65,  65,  64,  64,  64,  65,  65,  65,  65,  65,  64,  64,  63,  64,  63,  63,  64,  64,  64,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  44,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  39,  39,  39,  40,  40,  40,  40,  40,  40,  39,  39,  39,  38,  38,  38,  39,  39,  39,  38,  38,  38,  37,  37,  37,  37,  37,  37,  38,  38,  38,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  37,  36,  36,  35,  36,
   35,  35,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  34,  34,  34,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,
   30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  25,  26,  26,  26,  26,  26,  26,  26,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,
   24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  17,  17,  17,  16,  16,  17,  17,  16,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,
   11,  11,  11,  12,  12,  12,  12,  12,  12,  11,  11,  11,  10,  10,  10,  10,  10,  10,  11,  11,  11,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   8,   8,   7,   7,   7,   7,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   2,   2,   2,   5,   5,   5,   0,   0,   0,  48,  48,  48,
  167, 167, 167, 163, 163, 163, 163, 163, 163, 165, 165, 165, 165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 170, 170, 170, 170, 170, 170, 172, 172, 172, 172, 172, 172, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175,
  176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 179, 179, 179, 179, 179, 179, 180, 180, 180, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 183, 183, 183, 183, 183, 183, 184, 184, 184, 184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 188, 188, 188, 189, 189, 189, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192, 192, 193, 193, 193, 194, 194, 194, 195, 195, 195, 195, 195, 195, 196, 196, 196, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 200, 200, 200, 201, 201, 201, 199, 199, 199, 199, 199, 199, 200, 200, 200, 199, 199, 199, 198, 198, 198, 199, 199, 199, 200, 200, 200, 200, 200, 200, 198, 198, 198, 196, 196, 196, 191, 191, 191, 190, 190, 190, 192, 192, 192, 191, 191, 191, 187, 187, 187,
  187, 187, 187, 189, 189, 189, 186, 186, 186, 185, 185, 185, 186, 186, 186, 182, 182, 182, 170, 170, 170, 137, 137, 137, 116, 116, 116, 153, 153, 153, 165, 165, 165, 170, 170, 170, 170, 170, 170, 168, 168, 168, 172, 172, 172, 179, 179, 179,  40,  40,  40,   8,   8,   8,  71,  71,  71,  68,  68,  68,  66,  66,  66,
   66,  66,  66,  65,  65,  65,  65,  65,  65,  66,  66,  66,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  63,  63,  63,  62,  62,  62,  61,  61,  61,  61,  62,  61,  62,  61,  62,  60,  64,  57,  60,  62,  59,
   61,  60,  61,  60,  60,  60,  59,  59,  59,  59,  59,  59,  60,  60,  60,  59,  59,  59,  58,  58,  58,  59,  59,  59,  58,  58,  58,  58,  58,  58,  57,  57,  57,  58,  58,  58,  57,  57,  57,  56,  56,  56,  57,  57,  57,  57,  57,  57,  56,  56,  56,  55,  55,  55,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   54,  54,  54,  55,  55,  55,  55,  55,  55,  54,  54,  54,  53,  53,  53,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  52,  53,  52,  53,  52,  55,  50,  51,  54,  49,  52,  51,  52,  51,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  43,  44,  43,  45,  42,  43,  47,  40,  43,  42,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  34,  35,  34,  35,  33,  34,  39,  32,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  26,  25,  26,  31,  23,  25,  26,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  17,  22,  15,  16,  18,  16,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   8,   9,  12,   7,   8,  11,   7,   7,   6,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   3,   3,   3,   0,   0,   0, 112, 112, 112, 171, 171, 171, 160, 160, 160, 163, 163, 163, 163, 163, 163, 164, 164, 164, 165, 165, 165,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 168, 168, 168, 169, 169, 169, 170, 170, 170, 170, 170, 170, 171, 171, 171, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178,
  177, 177, 177, 179, 179, 179, 180, 180, 180, 180, 180, 180, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 184, 184, 184, 184, 184, 184, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 187, 187, 187, 188, 188, 188, 188, 188, 188, 189, 189, 189,
  190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 193, 193, 193, 194, 194, 194, 195, 195, 195, 195, 195, 195, 195, 195, 195, 196, 196, 196, 195, 195, 195, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 199, 199, 199, 199, 199, 199, 199, 199, 199,
  200, 200, 200, 201, 201, 201, 199, 199, 199, 199, 199, 199, 200, 200, 200, 201, 201, 201, 198, 198, 198, 198, 198, 198, 199, 199, 199, 195, 195, 195, 194, 194, 194, 195, 195, 195, 195, 195, 195, 190, 190, 190, 191, 191, 191, 191, 191, 191, 185, 185, 185, 186, 186, 186, 187, 187, 187, 183, 183, 183, 170, 170, 170,
  136, 136, 136, 117, 117, 117, 154, 154, 154, 167, 167, 167, 170, 170, 170, 168, 168, 168, 169, 169, 169, 180, 180, 180, 145, 145, 145,   0,   0,   0,  46,  46,  46,  72,  72,  72,  66,  66,  66,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  47,  51,  59,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  53,  38,  43,  42,  44,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  46,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  39,  21,  26,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  30,  14,  17,  21,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  12,  20,   6,  10,  16,   7,   6,   5,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   3,   3,   3,   0,   0,   0,  56,  56,  56, 170, 170, 170, 159, 159, 159, 162, 162, 162, 163, 163, 163, 163, 163, 163, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 169, 169, 169,
  169, 169, 169, 169, 169, 169, 170, 170, 170, 171, 171, 171, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 176, 176, 176, 177, 177, 177, 178, 178, 178, 179, 179, 179, 179, 179, 179, 179, 179, 179, 181, 181, 181, 181, 181, 181,
  181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 189, 189, 189, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192,
  193, 193, 193, 193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 195, 195, 195, 195, 196, 196, 196, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 199, 199, 199, 199, 199, 199, 200, 200, 200, 201, 201, 201, 199, 199, 199, 199, 199, 199, 200, 200, 200, 200, 200, 200,
  200, 200, 200, 200, 200, 200, 197, 197, 197, 197, 197, 197, 198, 198, 198, 195, 195, 195, 195, 195, 195, 195, 195, 195, 191, 191, 191, 190, 190, 190, 190, 190, 190, 187, 187, 187, 186, 186, 186, 174, 174, 174, 136, 136, 136, 117, 117, 117, 157, 157, 157, 167, 167, 167, 169, 169, 169, 168, 168, 168, 170, 170, 170,
  183, 183, 183, 118, 118, 118,   0,   0,   0,  61,  61,  61,  69,  69,  69,  66,  66,  66,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  55,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   31,  31,  31, 162, 162, 162, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 167, 167, 168, 168, 168, 168, 168, 168, 169, 169, 169, 169, 169, 169, 169, 169, 169, 170, 170, 170, 171, 171, 171, 171, 171, 171, 172, 172, 172,
  173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 180, 180, 180, 180, 180, 180, 181, 181, 181, 182, 182, 182, 183, 183, 183, 183, 183, 183, 183, 183, 183, 184, 184, 184,
  185, 185, 185, 185, 185, 185, 186, 186, 186, 186, 186, 186, 186, 186, 186, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192, 192, 193, 193, 193, 193, 193, 193, 194, 194, 194, 195, 195, 195, 194, 194, 194,
  195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 199, 199, 199, 200, 200, 200, 200, 200, 200, 199, 199, 199, 199, 199, 199, 200, 200, 200, 201, 201, 201, 199, 199, 199, 198, 198, 198, 199, 199, 199, 200, 200, 200, 199, 199, 199, 195, 195, 195,
  196, 196, 196, 195, 195, 195, 191, 191, 191, 191, 191, 191, 190, 190, 190, 186, 186, 186, 175, 175, 175, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 170, 170, 170, 170, 170, 170, 171, 171, 171, 186, 186, 186, 108, 108, 108,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 161, 161, 161, 160, 160, 160, 161, 161, 161, 161, 161, 161, 162, 162, 162,
  164, 164, 164, 164, 164, 164, 164, 164, 164, 166, 166, 166, 165, 165, 165, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 169, 169, 169, 169, 169, 169, 169, 169, 169, 170, 170, 170, 171, 171, 171, 172, 172, 172, 172, 172, 172, 173, 173, 173, 174, 174, 174, 175, 175, 175, 174, 174, 174, 175, 175, 175,
  176, 176, 176, 176, 176, 176, 178, 178, 178, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 180, 180, 180, 180, 180, 180, 180, 180, 180, 182, 182, 182, 181, 181, 181, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 185, 185, 185, 187, 187, 187, 187, 187, 187,
  188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 189, 189, 189, 191, 191, 191, 192, 192, 192, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 196, 196, 196, 195, 195, 195, 196, 196, 196, 197, 197, 197, 198, 198, 198, 197, 197, 197,
  198, 198, 198, 199, 199, 199, 199, 199, 199, 200, 200, 200, 200, 200, 200, 198, 198, 198, 199, 199, 199, 200, 200, 200, 199, 199, 199, 198, 198, 198, 198, 198, 198, 199, 199, 199, 199, 199, 199, 195, 195, 195, 195, 195, 195, 195, 195, 195, 190, 190, 190, 190, 190, 190, 190, 190, 190, 186, 186, 186, 175, 175, 175,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 170, 170, 170, 175, 175, 175, 173, 173, 173, 173, 173, 173, 192, 192, 192, 111, 111, 111,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 165, 165, 165, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 168, 168, 168, 169, 169, 169, 170, 170, 170, 170, 170, 170, 171, 171, 171, 172, 172, 172, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 174, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  179, 179, 179, 180, 180, 180, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 187, 187, 187, 188, 188, 188, 187, 187, 187, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 190, 190, 190, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 195, 195, 195, 194, 194, 194, 195, 195, 195, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 199, 199, 199, 199, 199, 199, 199, 199, 199, 200, 200, 200, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 200, 200, 200, 201, 201, 201, 201, 201, 201, 198, 198, 198, 199, 199, 199, 199, 199, 199, 195, 195, 195, 196, 196, 196, 193, 193, 193, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 170, 170, 170, 174, 174, 174, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 156, 156, 156, 160, 160, 160, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 167, 167, 168, 168, 168, 167, 167, 167, 168, 168, 168, 170, 170, 170, 170, 170, 170, 170, 170, 170, 172, 172, 172,
  172, 172, 172, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 174, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 177, 177, 177, 179, 179, 179, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183,
  183, 183, 183, 185, 185, 185, 185, 185, 185, 185, 185, 185, 186, 186, 186, 187, 187, 187, 188, 188, 188, 187, 187, 187, 189, 189, 189, 189, 189, 189, 190, 190, 190, 189, 189, 189, 190, 190, 190, 191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192, 192, 193, 193, 193, 194, 194, 194, 195, 195, 195, 194, 194, 194,
  195, 195, 195, 195, 195, 195, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 199, 199, 199, 199, 199, 199, 199, 199, 199, 200, 200, 200, 201, 201, 201, 202, 202, 202, 202, 202, 202, 200, 200, 200, 201, 201, 201, 201, 201, 201, 198, 198, 198, 199, 199, 199, 199, 199, 199,
  195, 195, 195, 196, 196, 196, 193, 193, 193, 189, 189, 189, 191, 191, 191, 191, 191, 191, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 170, 170, 170, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 162, 162, 162, 162, 162, 162,
  163, 163, 163, 163, 163, 163, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 167, 167, 167, 168, 168, 168, 169, 169, 169, 170, 170, 170, 170, 170, 170, 171, 171, 171, 172, 172, 172, 172, 172, 172, 173, 173, 173, 173, 173, 173, 173, 173, 173, 175, 175, 175, 174, 174, 174,
  175, 175, 175, 177, 177, 177, 177, 177, 177, 177, 177, 177, 177, 177, 177, 176, 176, 176, 177, 177, 177, 178, 178, 178, 180, 180, 180, 179, 179, 179, 181, 181, 181, 182, 182, 182, 182, 182, 182, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 185, 185, 185, 186, 186, 186, 186, 186, 186,
  185, 185, 185, 186, 186, 186, 188, 188, 188, 188, 188, 188, 187, 187, 187, 188, 188, 188, 189, 189, 189, 191, 191, 191, 191, 191, 191, 190, 190, 190, 191, 191, 191, 191, 191, 191, 193, 193, 193, 194, 194, 194, 193, 193, 193, 192, 192, 192, 195, 195, 195, 196, 196, 196, 196, 196, 196, 196, 196, 196, 195, 195, 195,
  196, 196, 196, 199, 199, 199, 198, 198, 198, 199, 199, 199, 200, 200, 200, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 201, 201, 201, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 170, 170, 170, 174, 174, 174, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 175, 175, 175, 177, 177, 177, 176, 176, 176, 176, 176, 176, 178, 178, 178, 185, 185, 185, 184, 184, 184,
  177, 177, 177, 180, 180, 180, 188, 188, 188, 184, 184, 184, 180, 180, 180, 184, 184, 184, 189, 189, 189, 187, 187, 187, 191, 191, 191, 193, 193, 193, 194, 194, 194, 191, 191, 191, 190, 190, 190, 196, 196, 196, 196, 196, 196, 198, 198, 198, 191, 191, 191, 188, 188, 188, 198, 198, 198, 198, 198, 198, 199, 199, 199,
  190, 190, 190, 193, 193, 193, 200, 200, 200, 202, 202, 202, 203, 203, 203, 200, 200, 200, 192, 192, 192, 199, 199, 199, 203, 203, 203, 199, 199, 199, 195, 195, 195, 195, 195, 195, 202, 202, 202, 206, 206, 206, 201, 201, 201, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 170, 170, 170, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 169, 169, 169,
  182, 182, 182,  74,  74,  74,  52,  52,  52, 188, 188, 188, 117, 117, 117,  13,  13,  13,  71,  71,  71, 192, 192, 192, 100, 100, 100,  51,  51,  51, 183, 183, 183, 172, 172, 172, 142, 142, 142, 151, 151, 151, 180, 180, 180, 178, 178, 178, 147, 147, 147, 166, 166, 166, 186, 186, 186, 174, 174, 174, 149, 149, 149,
  166, 166, 166, 148, 148, 148, 146, 146, 146, 141, 141, 141, 160, 160, 160, 167, 167, 167, 148, 148, 148, 148, 148, 148, 144, 144, 144, 177, 177, 177, 188, 188, 188, 149, 149, 149, 148, 148, 148, 155, 155, 155, 196, 196, 196, 180, 180, 180, 153, 153, 153, 150, 150, 150, 148, 148, 148, 169, 169, 169, 203, 203, 203,
  172, 172, 172, 153, 153, 153, 181, 181, 181, 198, 198, 198, 198, 198, 198, 176, 176, 176, 155, 155, 155, 180, 180, 180, 201, 201, 201, 198, 198, 198, 199, 199, 199, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 168, 168, 168, 185, 185, 185,  83,  83,  83,   5,   5,   5, 181, 181, 181,  70,  70,  70,   0,   0,   0,  21,  21,  21,
  182, 182, 182,  55,  55,  55,  48,  48,  48, 200, 200, 200, 117, 117, 117,   0,   0,   0,  14,  14,  14, 160, 160, 160, 187, 187, 187,  22,  22,  22,  62,  62,  62, 207, 207, 207, 111, 111, 111,  18,  18,  18, 108, 108, 108,   0,   0,   0,  21,  21,  21,   7,   7,   7,  83,  83,  83,  75,  75,  75,   0,   0,   0,
   24,  24,  24,   9,   9,   9, 124, 124, 124,  66,  66,  66,   0,   0,   0,  27,  27,  27,   0,   0,   0, 100, 100, 100, 127, 127, 127,   0,   0,   0,  31,  31,  31,  27,  27,  27,   1,   1,   1, 152, 152, 152,  84,  84,  84,   0,   0,   0,  71,  71,  71, 207, 207, 207, 194, 194, 194,  40,  40,  40,   0,   0,   0,
  103, 103, 103, 213, 213, 213, 195, 195, 195, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 168, 168, 168, 182, 182, 182, 122, 122, 122,   0,   0,   0, 154, 154, 154,  39,  39,  39,  54,  54,  54,  11,  11,  11, 151, 151, 151,  34,  34,  34,  87,  87,  87, 204, 204, 204,  59,  59,  59,  50,  50,  50,  21,  21,  21,
  107, 107, 107, 205, 205, 205,  69,  69,  69,  17,  17,  17, 199, 199, 199,  66,  66,  66,  54,  54,  54, 126, 126, 126,   0,   0,   0, 178, 178, 178, 195, 195, 195, 199, 199, 199,  57,  57,  57,  33,  33,  33, 204, 204, 204, 203, 203, 203, 169, 169, 169,   0,   0,   0, 106, 106, 106, 209, 209, 209,  63,  63,  63,
   32,  32,  32, 120, 120, 120,   0,   0,   0, 192, 192, 192, 217, 217, 217,  14,  14,  14,  96,  96,  96,  85,  85,  85,  14,  14,  14,  26,  26,  26, 191, 191, 191, 159, 159, 159,  22,  22,  22,   8,   8,   8,  97,  97,  97, 214, 214, 214, 195, 195, 195, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 169, 169, 169,
  177, 177, 177, 149, 149, 149,   1,   1,   1, 113, 113, 113,  21,  21,  21, 117, 117, 117,  15,  15,  15, 108, 108, 108,  22,  22,  22, 123, 123, 123, 188, 188, 188,  14,  14,  14, 134, 134, 134,  65,  65,  65,  52,  52,  52, 204, 204, 204, 118, 118, 118,   0,   0,   0, 168, 168, 168,  31,  31,  31, 101, 101, 101,
  131, 131, 131,   0,   0,   0,  51,  51,  51,  40,  40,  40, 138, 138, 138,  73,  73,  73,   4,   4,   4,  80,  80,  80,  82,  82,  82, 151, 151, 151,   1,   1,   1, 116, 116, 116, 218, 218, 218,  74,  74,  74,  32,  32,  32, 122, 122, 122,   0,   0,   0,  99,  99,  99, 116, 116, 116,   1,   1,   1, 117, 117, 117,
   75,  75,  75,  62,  62,  62,  27,  27,  27, 152, 152, 152, 111, 111, 111,  57,  57,  57,  32,  32,  32,  91,  91,  91, 214, 214, 214, 195, 195, 195, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 173, 173, 173, 168, 168, 168,  19,  19,  19,  56,  56,  56,  21,  21,  21, 163, 163, 163,  36,  36,  36,
   52,  52,  52,  23,  23,  23, 158, 158, 158, 151, 151, 151,   0,   0,   0,  77,  77,  77,  40,  40,  40,  19,  19,  19, 183, 183, 183, 161, 161, 161,   3,   3,   3, 111, 111, 111,  17,  17,  17, 149, 149, 149, 125, 125, 125,   0,   0,   0,  95,  95,  95,  93,  93,  93, 160, 160, 160,  70,  70,  70,   4,   4,   4,
   74,  74,  74,  77,  77,  77, 150, 150, 150,   1,   1,   1, 118, 118, 118, 222, 222, 222,  76,  76,  76,  32,  32,  32, 123, 123, 123,   0,   0,   0,  66,  66,  66,  27,  27,  27,  19,  19,  19, 205, 205, 205,  58,  58,  58,  85,  85,  85,  67,  67,  67,  88,  88,  88,  64,  64,  64, 113, 113, 113,  33,  33,  33,
   91,  91,  91, 214, 214, 214, 195, 195, 195, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 170, 170, 170, 178, 178, 178,  48,  48,  48,   0,   0,   0,  37,  37,  37, 188, 188, 188,  69,  69,  69,   0,   0,   0,  29,  29,  29, 187, 187, 187,  95,  95,  95,   4,   4,   4,  63,  63,  63,  48,  48,  48,
    0,   0,   0, 144, 144, 144, 192, 192, 192,  35,  35,  35,  26,  26,  26,  25,  25,  25, 185, 185, 185, 116, 116, 116,   0,   0,   0, 164, 164, 164, 177, 177, 177, 187, 187, 187,  57,  57,  57,  33,  33,  33, 209, 209, 209, 208, 208, 208, 172, 172, 172,   0,   0,   0,  95,  95,  95, 194, 194, 194,  55,  55,  55,
   34,  34,  34, 120, 120, 120,   0,   0,   0, 198, 198, 198, 151, 151, 151,   0,   0,   0, 180, 180, 180,  62,  62,  62,  83,  83,  83, 134, 134, 134,   5,   5,   5,  25,  25,  25, 171, 171, 171,  23,  23,  23,  91,  91,  91, 215, 215, 215, 195, 195, 195, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  169, 169, 169, 182, 182, 182,  88,  88,  88,   0,   0,   0,  77,  77,  77, 195, 195, 195, 111, 111, 111,   0,   0,   0,  62,  62,  62, 195, 195, 195,  46,  46,  46,  68,  68,  68, 206, 206, 206, 178, 178, 178,  14,  14,  14,  99,  99,  99, 205, 205, 205,  90,  90,  90,   0,   0,   0,  63,  63,  63, 202, 202, 202,
  119, 119, 119,   0,   0,   0,  17,  17,  17,   1,   1,   1,  74,  74,  74,  73,  73,  73,  37,  37,  37, 191, 191, 191, 184, 184, 184, 191, 191, 191,  77,  77,  77,   5,   5,   5,  23,  23,  23,   2,   2,   2, 120, 120, 120, 132, 132, 132,   5,   5,   5, 174, 174, 174, 192, 192, 192,  15,  15,  15, 120, 120, 120,
   79,  79,  79,  81,  81,  81, 191, 191, 191,   2,   2,   2,  55,  55,  55, 205, 205, 205,  26,  26,  26,  99,  99,  99, 214, 214, 214, 195, 195, 195, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 172, 172, 172, 169, 169, 169, 159, 159, 159, 169, 169, 169, 175, 175, 175, 173, 173, 173,
  161, 161, 161, 170, 170, 170, 177, 177, 177, 164, 164, 164, 172, 172, 172, 176, 176, 176, 178, 178, 178, 168, 168, 168, 169, 169, 169, 183, 183, 183, 177, 177, 177, 167, 167, 167, 176, 176, 176, 184, 184, 184, 178, 178, 178, 169, 169, 169, 170, 170, 170, 168, 168, 168, 175, 175, 175, 178, 178, 178, 175, 175, 175,
  188, 188, 188, 187, 187, 187, 191, 191, 191, 193, 193, 193, 174, 174, 174, 172, 172, 172, 178, 178, 178, 198, 198, 198, 187, 187, 187, 177, 177, 177, 191, 191, 191, 195, 195, 195, 184, 184, 184, 183, 183, 183, 186, 186, 186, 185, 185, 185, 198, 198, 198, 184, 184, 184, 189, 189, 189, 199, 199, 199, 183, 183, 183,
  190, 190, 190, 200, 200, 200, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 173, 173, 173, 177, 177, 177, 174, 174, 174, 174, 174, 174, 174, 174, 174, 178, 178, 178, 178, 178, 178, 176, 176, 176, 180, 180, 180, 178, 178, 178, 177, 177, 177, 178, 178, 178,
  181, 181, 181, 182, 182, 182, 180, 180, 180, 182, 182, 182, 186, 186, 186, 184, 184, 184, 182, 182, 182, 184, 184, 184, 187, 187, 187, 189, 189, 189, 188, 188, 188, 188, 188, 188, 188, 188, 188, 190, 190, 190, 187, 187, 187, 188, 188, 188, 188, 188, 188, 188, 188, 188, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  189, 189, 189, 192, 192, 192, 195, 195, 195, 193, 193, 193, 192, 192, 192, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 195, 195, 195, 199, 199, 199, 198, 198, 198, 196, 196, 196, 200, 200, 200, 199, 199, 199, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 172, 172, 172, 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 174, 176, 176, 176, 176, 176, 176, 176, 176, 176, 177, 177, 177, 178, 178, 178, 178, 178, 178, 177, 177, 177, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182,
  183, 183, 183, 183, 183, 183, 184, 184, 184, 183, 183, 183, 185, 185, 185, 186, 186, 186, 186, 186, 186, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 188, 188, 188, 188, 188, 188, 190, 190, 190, 191, 191, 191, 191, 191, 191, 190, 190, 190, 192, 192, 192, 193, 193, 193, 193, 193, 193, 193, 193, 193,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 195, 195, 195, 195, 197, 197, 197, 196, 196, 196, 196, 196, 196, 199, 199, 199, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  59,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  26,  27,  24,  25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   9,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  70,  67,  66,  67,  67,  66,  68,  67,  66,  68,  66,  65,  67,  66,  65,  67,  66,  65,  67,  66,  65,  66,  65,  64,  66,  65,  64,  66,
   65,  64,  66,  64,  63,  65,  64,  63,  65,  64,  63,  65,  64,  63,  65,  63,  62,  64,  63,  62,  64,  63,  62,  64,  63,  62,  63,  62,  61,  63,  62,  61,  63,  62,  61,  64,  60,  67,  55,  60,  64,  58,  61,  60,  63,  61,  60,  61,  60,  59,  61,  60,  59,  61,  60,  59,  61,  60,  59,  60,  59,  58,  60,
   59,  58,  60,  59,  58,  60,  58,  57,  59,  58,  57,  59,  58,  57,  59,  58,  57,  58,  57,  56,  58,  57,  56,  58,  57,  56,  58,  57,  56,  57,  56,  55,  57,  56,  55,  57,  56,  55,  57,  56,  55,  56,  55,  54,  56,  55,  54,  56,  55,  54,  56,  54,  53,  55,  54,  53,  55,  54,  53,  55,  54,  53,  54,
   53,  52,  54,  53,  52,  54,  53,  51,  55,  52,  58,  48,  51,  58,  48,  52,  50,  53,  52,  51,  52,  51,  50,  52,  51,  50,  52,  51,  50,  52,  51,  50,  51,  50,  49,  51,  50,  49,  51,  50,  49,  51,  49,  48,  50,  49,  48,  50,  49,  48,  50,  49,  48,  50,  48,  47,  49,  48,  47,  49,  48,  47,  49,
   48,  47,  48,  47,  46,  48,  47,  46,  48,  47,  46,  48,  46,  45,  47,  46,  45,  47,  46,  45,  47,  46,  45,  47,  45,  44,  46,  45,  44,  45,  45,  44,  46,  45,  44,  45,  44,  43,  44,  44,  43,  44,  44,  42,  45,  44,  47,  41,  43,  51,  38,  43,  41,  44,  43,  42,  43,  42,  41,  43,  42,  41,  43,
   42,  41,  43,  41,  41,  42,  41,  40,  41,  41,  40,  42,  41,  40,  42,  40,  39,  41,  40,  39,  40,  40,  39,  41,  40,  39,  41,  39,  38,  40,  39,  38,  39,  39,  38,  40,  39,  38,  39,  38,  37,  38,  38,  37,  38,  38,  37,  39,  37,  36,  38,  37,  36,  37,  37,  36,  38,  37,  36,  37,  36,  35,  37,
   36,  35,  36,  36,  35,  37,  35,  35,  36,  35,  34,  35,  35,  34,  35,  35,  33,  36,  34,  36,  34,  36,  44,  30,  34,  33,  35,  34,  33,  34,  33,  32,  34,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  32,  31,  30,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,
   30,  29,  31,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  29,  28,  27,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  28,  27,  26,  27,  27,  26,  27,  27,  26,  27,  26,  25,  26,  26,  25,  26,  26,  25,  26,  25,  25,  25,  28,  37,  22,  25,  26,  25,
   25,  23,  25,  24,  23,  25,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,  23,  22,  23,  22,  21,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  20,  21,  21,  20,  21,  20,  20,  21,  20,  19,  20,  20,  19,  20,  20,  19,  20,  19,  18,  20,  19,  18,  19,
   19,  18,  19,  19,  18,  19,  18,  17,  18,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  16,  17,  17,  16,  17,  17,  16,  17,  16,  15,  17,  19,  28,  14,  17,  19,  16,  15,  14,  16,  15,  14,  15,  15,  14,  15,  15,  14,  15,  14,  13,  15,  14,  13,  14,  14,  13,  14,  14,  13,  14,  13,  12,  14,
   12,  12,  13,  13,  12,  13,  13,  12,  13,  12,  11,  12,  11,  11,  12,  12,  11,  12,  11,  10,  12,  10,  10,  11,  11,  10,  11,  11,  10,  11,  10,   9,  11,   9,   9,  10,  10,   9,  10,  10,   9,  10,   9,   8,   9,   8,   7,   9,   9,   8,   9,   9,   8,   9,   8,   7,   8,   7,   7,   8,   8,   7,   8,
    7,   5,   8,  11,  17,   6,  10,  14,   7,   6,   4,   7,   6,   5,   6,   5,   4,   6,   5,   5,   6,   5,   5,   6,   5,   4,   5,   4,   4,   5,   5,   4,   5,   4,   3,   5,   3,   2,   4,   3,   3,   4,   4,   3,   4,   3,   2,   3,   2,   1,   3,   3,   2,   3,   2,   1,   3,   1,   0,   2,   1,   0,   2,
    1,   0,   2,   1,   0,   2,   0,   0,   1,   0,   0,   1,   1,   0,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  63,  66,  60,  68,  73,  64,  65,  70,  62,  66,  71,  62,  65,  70,  62,  65,  70,  62,  65,  70,  62,  65,  70,  62,  64,  69,  61,  64,  69,  61,  64,  69,  61,  64,  69,  61,  63,  68,  60,  63,  68,  60,  63,  68,  60,  63,  68,  60,  62,  67,  59,  62,  67,  59,
   62,  67,  59,  62,  67,  58,  61,  66,  58,  61,  66,  58,  61,  65,  59,  59,  72,  51,  59,  69,  53,  60,  64,  58,  60,  65,  57,  59,  64,  56,  59,  64,  56,  59,  64,  56,  59,  64,  55,  58,  63,  55,  58,  63,  55,  58,  63,  55,  57,  62,  54,  57,  62,  54,  57,  62,  54,  57,  62,  54,  56,  61,  53,
   56,  61,  53,  57,  61,  53,  56,  61,  53,  55,  60,  52,  55,  60,  52,  56,  60,  52,  55,  60,  52,  54,  60,  51,  55,  60,  51,  54,  60,  51,  54,  59,  51,  53,  59,  50,  54,  59,  50,  53,  58,  50,  53,  58,  49,  53,  58,  49,  53,  57,  50,  52,  63,  44,  51,  63,  44,  52,  56,  49,  52,  57,  48,
   51,  56,  48,  51,  56,  48,  51,  56,  48,  51,  55,  47,  50,  55,  47,  50,  55,  47,  50,  55,  47,  49,  54,  46,  49,  54,  46,  49,  54,  46,  49,  54,  46,  48,  53,  45,  48,  53,  45,  48,  53,  45,  48,  53,  44,  47,  52,  44,  47,  52,  44,  47,  52,  44,  46,  51,  43,  46,  51,  43,  46,  51,  43,
   46,  51,  43,  45,  50,  42,  45,  50,  42,  45,  50,  42,  45,  50,  42,  44,  49,  41,  44,  50,  41,  44,  49,  42,  44,  53,  38,  44,  57,  35,  43,  48,  41,  43,  48,  40,  43,  47,  39,  42,  47,  39,  43,  47,  39,  42,  47,  39,  41,  46,  38,  42,  46,  38,  42,  46,  38,  41,  46,  38,  40,  46,  37,
   41,  46,  37,  40,  46,  37,  40,  45,  37,  39,  45,  36,  40,  45,  37,  39,  44,  36,  39,  44,  35,  39,  44,  35,  39,  44,  36,  38,  43,  35,  38,  43,  34,  38,  43,  34,  38,  43,  34,  37,  42,  33,  37,  42,  33,  37,  42,  34,  36,  41,  33,  36,  41,  33,  36,  41,  33,  36,  40,  33,  35,  42,  31,
   36,  50,  27,  35,  40,  32,  35,  40,  32,  34,  39,  31,  34,  39,  31,  34,  39,  31,  34,  39,  31,  33,  38,  30,  33,  38,  30,  33,  38,  30,  33,  38,  30,  32,  37,  29,  32,  37,  29,  32,  37,  29,  32,  36,  28,  31,  36,  28,  31,  36,  28,  31,  36,  28,  30,  35,  27,  30,  35,  27,  30,  35,  27,
   30,  35,  26,  29,  34,  26,  29,  34,  26,  29,  34,  26,  28,  34,  25,  28,  33,  25,  28,  33,  25,  28,  33,  25,  28,  32,  24,  28,  32,  24,  28,  32,  24,  27,  33,  24,  30,  44,  20,  27,  33,  23,  26,  31,  24,  26,  31,  23,  25,  31,  22,  26,  31,  23,  25,  30,  22,  25,  30,  21,  25,  30,  21,
   25,  30,  22,  24,  29,  21,  24,  29,  20,  24,  29,  20,  24,  29,  20,  23,  28,  20,  23,  28,  20,  23,  28,  20,  23,  28,  20,  22,  27,  19,  22,  27,  19,  22,  27,  19,  21,  26,  18,  21,  26,  18,  21,  26,  18,  21,  26,  18,  20,  25,  17,  20,  25,  17,  20,  25,  17,  20,  25,  17,  19,  24,  16,
   19,  24,  16,  19,  24,  16,  18,  23,  15,  22,  35,  13,  19,  27,  14,  18,  22,  15,  17,  23,  14,  17,  22,  14,  17,  22,  14,  17,  22,  14,  16,  21,  13,  16,  21,  13,  16,  21,  13,  16,  21,  13,  15,  20,  12,  15,  20,  12,  15,  20,  12,  15,  20,  11,  15,  19,  11,  15,  19,  11,  14,  19,  11,
   14,  18,  10,  14,  18,  10,  14,  18,  10,  13,  18,  10,  12,  17,   9,  13,  17,   9,  13,  17,   9,  12,  17,   9,  11,  17,   8,  12,  17,   9,  12,  17,   9,  11,  16,   8,  11,  16,   7,  11,  16,   8,  10,  14,   7,  14,  26,   6,  13,  23,   6,   9,  13,   7,   9,  14,   6,   9,  14,   5,   9,  14,   6,
    9,  14,   5,   8,  13,   5,   8,  13,   5,   8,  13,   5,   7,  12,   4,   7,  12,   4,   7,  12,   4,   7,  12,   4,   6,  11,   3,   6,  11,   3,   6,  11,   3,   6,  11,   3,   5,  10,   2,   5,  10,   2,   5,  10,   2,   5,  10,   2,   4,   9,   1,   5,  10,   1,   3,   5,   1,   1,   1,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  62,  68,  58,  67,  75,  61,  65,  72,  59,  65,  73,  60,
   65,  73,  60,  64,  72,  59,  64,  72,  59,  64,  72,  59,  63,  71,  58,  63,  71,  58,  63,  71,  58,  63,  71,  58,  62,  71,  57,  62,  71,  57,  62,  71,  57,  62,  70,  57,  62,  70,  56,  62,  70,  56,  62,  70,  57,  61,  69,  56,  61,  68,  55,  61,  69,  55,  61,  68,  56,  58,  74,  49,  59,  71,  51,
   60,  67,  55,  59,  67,  54,  59,  67,  53,  59,  67,  53,  59,  67,  54,  58,  66,  53,  58,  65,  52,  58,  66,  52,  58,  66,  52,  57,  65,  52,  57,  65,  51,  57,  65,  51,  57,  65,  51,  56,  64,  51,  56,  64,  51,  56,  64,  51,  56,  64,  51,  55,  63,  50,  55,  63,  50,  55,  63,  50,  55,  63,  50,
   54,  62,  49,  54,  62,  49,  54,  62,  49,  53,  61,  48,  53,  61,  48,  53,  61,  48,  53,  61,  48,  52,  60,  47,  52,  60,  47,  52,  59,  48,  52,  66,  42,  51,  66,  42,  51,  59,  47,  51,  60,  46,  51,  59,  46,  51,  59,  46,  51,  59,  46,  51,  58,  45,  50,  58,  45,  50,  58,  45,  50,  58,  45,
   49,  57,  44,  49,  57,  44,  49,  57,  44,  49,  57,  44,  48,  56,  43,  48,  56,  43,  48,  56,  43,  48,  56,  43,  47,  55,  42,  47,  55,  42,  47,  55,  42,  46,  55,  41,  46,  54,  41,  46,  54,  41,  46,  54,  41,  45,  54,  40,  45,  53,  40,  45,  54,  40,  45,  53,  40,  45,  52,  39,  45,  53,  39,
   45,  52,  40,  44,  56,  36,  44,  60,  34,  44,  51,  39,  44,  52,  38,  43,  51,  37,  43,  51,  37,  43,  51,  38,  42,  50,  37,  42,  49,  36,  42,  50,  36,  42,  50,  37,  41,  49,  36,  41,  49,  35,  41,  49,  35,  41,  49,  35,  40,  48,  35,  40,  48,  35,  40,  48,  35,  40,  48,  35,  39,  47,  34,
   39,  47,  34,  39,  47,  34,  39,  46,  33,  38,  46,  33,  38,  46,  33,  38,  46,  33,  37,  45,  32,  37,  45,  32,  37,  45,  32,  37,  45,  32,  36,  44,  31,  36,  44,  31,  36,  44,  31,  36,  46,  29,  37,  53,  26,  35,  43,  30,  35,  43,  30,  34,  43,  30,  34,  43,  30,  34,  43,  30,  34,  43,  30,
   34,  42,  29,  34,  42,  29,  34,  42,  29,  34,  41,  28,  33,  41,  28,  33,  41,  28,  33,  41,  28,  32,  40,  27,  32,  40,  27,  32,  40,  27,  32,  40,  27,  31,  39,  26,  31,  39,  26,  31,  39,  26,  30,  38,  25,  30,  38,  25,  30,  38,  25,  30,  38,  25,  29,  38,  24,  29,  37,  24,  29,  38,  24,
   29,  37,  24,  29,  36,  23,  29,  36,  23,  29,  36,  23,  28,  37,  23,  30,  47,  19,  28,  37,  22,  28,  35,  23,  27,  35,  22,  27,  35,  21,  27,  35,  21,  26,  35,  21,  26,  34,  20,  26,  34,  20,  26,  34,  20,  25,  33,  20,  25,  33,  19,  25,  33,  19,  25,  33,  19,  24,  32,  19,  24,  32,  19,
   24,  32,  19,  24,  32,  19,  23,  31,  18,  23,  31,  18,  23,  31,  18,  23,  31,  17,  22,  30,  17,  22,  30,  17,  22,  30,  17,  21,  29,  16,  21,  29,  16,  21,  29,  16,  21,  29,  16,  20,  28,  15,  20,  28,  15,  20,  29,  15,  20,  27,  15,  23,  39,  12,  20,  32,  13,  19,  26,  14,  19,  27,  14,
   18,  27,  14,  18,  27,  14,  18,  27,  14,  18,  26,  13,  18,  26,  13,  18,  26,  13,  17,  26,  12,  17,  25,  12,  17,  25,  12,  17,  25,  12,  16,  24,  11,  16,  24,  11,  16,  24,  11,  16,  24,  10,  15,  23,  10,  15,  23,  10,  15,  23,  10,  15,  23,   9,  14,  22,   9,  14,  22,   9,  14,  22,   9,
   13,  22,   8,  13,  22,   8,  13,  22,   8,  13,  22,   8,  13,  21,   7,  13,  21,   7,  13,  21,   7,  12,  19,   7,  15,  30,   6,  14,  27,   6,  11,  18,   6,  11,  19,   6,  10,  19,   5,  11,  19,   5,  11,  19,   5,  10,  18,   4,  10,  18,   4,  10,  18,   4,   9,  17,   4,   9,  17,   3,   9,  17,   3,
    9,  17,   3,   8,  16,   3,   8,  16,   3,   8,  16,   3,   8,  16,   3,   7,  15,   2,   7,  15,   2,   7,  15,   2,   7,  15,   2,   6,  14,   1,   7,  15,   1,   4,   8,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  70,  67,  66,  67,  67,  66,  68,  67,  66,  68,  66,  65,  67,  66,  65,  67,  66,  65,  67,  66,  65,  66,  65,  64,  66,  65,  64,  66,
   65,  64,  66,  64,  63,  65,  64,  63,  65,  64,  63,  65,  64,  63,  65,  63,  62,  64,  63,  62,  64,  63,  62,  64,  63,  62,  63,  62,  61,  63,  62,  61,  63,  62,  60,  64,  60,  67,  55,  60,  64,  58,  61,  59,  63,  61,  60,  61,  60,  59,  61,  60,  59,  61,  60,  59,  61,  60,  59,  60,  59,  58,  60,
   59,  58,  60,  59,  58,  60,  58,  57,  59,  58,  57,  59,  58,  57,  59,  58,  57,  59,  57,  56,  58,  57,  56,  58,  57,  56,  58,  57,  56,  57,  56,  55,  57,  56,  55,  57,  56,  55,  57,  56,  55,  56,  55,  54,  56,  55,  54,  56,  55,  54,  56,  54,  53,  55,  54,  53,  55,  54,  53,  55,  54,  53,  54,
   53,  52,  54,  53,  52,  54,  53,  51,  55,  52,  58,  48,  51,  58,  48,  52,  50,  54,  52,  51,  53,  51,  50,  52,  51,  50,  52,  51,  50,  52,  51,  50,  51,  50,  49,  51,  50,  49,  51,  50,  49,  51,  49,  48,  50,  49,  48,  50,  49,  48,  50,  49,  48,  50,  48,  47,  49,  48,  47,  49,  48,  47,  49,
   48,  47,  48,  47,  46,  48,  47,  46,  48,  47,  46,  48,  46,  45,  47,  46,  45,  47,  46,  45,  47,  46,  45,  47,  45,  44,  46,  45,  44,  46,  45,  44,  46,  45,  44,  45,  44,  43,  45,  44,  43,  44,  44,  42,  45,  43,  47,  41,  43,  51,  39,  43,  41,  44,  43,  42,  43,  42,  41,  43,  42,  41,  43,
   42,  41,  43,  41,  40,  42,  41,  40,  42,  41,  40,  42,  41,  40,  42,  40,  39,  41,  40,  39,  40,  40,  39,  41,  40,  39,  41,  39,  38,  40,  39,  38,  39,  39,  38,  40,  39,  38,  39,  38,  37,  38,  38,  37,  39,  38,  37,  39,  37,  36,  38,  37,  36,  37,  37,  36,  38,  37,  36,  37,  36,  35,  37,
   36,  35,  36,  36,  35,  37,  35,  34,  36,  35,  34,  35,  35,  34,  35,  35,  33,  36,  34,  36,  34,  35,  44,  30,  34,  33,  35,  34,  33,  34,  33,  32,  34,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  32,  31,  30,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,
   30,  29,  31,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  29,  28,  27,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  28,  27,  26,  27,  27,  26,  27,  26,  25,  27,  26,  25,  26,  26,  25,  26,  26,  25,  26,  25,  25,  26,  28,  37,  22,  25,  26,  25,
   25,  23,  25,  24,  23,  25,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,  23,  22,  23,  22,  21,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  20,  21,  21,  20,  21,  20,  19,  21,  20,  19,  20,  20,  19,  20,  20,  19,  20,  19,  18,  20,  19,  18,  19,
   19,  18,  19,  19,  18,  19,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  17,  18,  17,  16,  17,  17,  16,  17,  17,  16,  17,  16,  15,  17,  19,  28,  14,  17,  19,  16,  15,  14,  16,  15,  14,  15,  15,  14,  15,  15,  14,  15,  14,  13,  15,  13,  13,  14,  13,  13,  14,  14,  13,  14,  13,  12,  14,
   12,  11,  13,  13,  12,  13,  13,  12,  13,  12,  11,  12,  11,  11,  12,  12,  11,  12,  11,  10,  12,  10,  10,  11,  10,  10,  11,  11,  10,  11,  10,   9,  11,   9,   8,  10,  10,   9,  10,  10,   9,  10,   9,   8,   9,   8,   7,   9,   9,   8,   9,   9,   8,   9,   8,   7,   8,   7,   6,   8,   8,   7,   8,
    7,   5,   8,  11,  17,   6,  10,  14,   7,   6,   4,   7,   6,   5,   6,   5,   4,   6,   5,   5,   6,   5,   4,   6,   5,   4,   5,   4,   3,   5,   4,   4,   5,   4,   3,   5,   3,   2,   4,   3,   2,   4,   3,   3,   4,   3,   2,   3,   2,   1,   3,   2,   1,   3,   2,   1,   3,   1,   0,   2,   1,   0,   2,
    1,   0,   2,   1,   0,   2,   0,   0,   1,   0,   0,   1,   1,   0,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  59,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  26,  27,  24,  25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   9,   8,   7,   7,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 171, 171, 171, 171, 171, 171, 172, 172, 172, 173, 173, 173, 175, 175, 175, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 190, 190, 190,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 174, 174, 174, 185, 185, 185, 187, 187, 187, 189, 189, 189, 192, 192, 192, 183, 183, 183, 175, 175, 175, 176, 176, 176, 177, 177, 177, 178, 178, 178, 177, 177, 177, 179, 179, 179, 180, 180, 180, 181, 181, 181, 182, 182, 182, 181, 181, 181, 182, 182, 182,
  182, 182, 182, 183, 183, 183, 184, 184, 184, 183, 183, 183, 185, 185, 185, 185, 185, 185, 187, 187, 187, 187, 187, 187, 188, 188, 188, 188, 188, 188, 187, 187, 187, 189, 189, 189, 189, 189, 189, 189, 189, 189, 191, 191, 191, 190, 190, 190, 191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192, 192, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 175, 175, 175, 165, 165, 165,  95,  95,  95,  85,  85,  85,
   82,  82,  82,  76,  76,  76, 134, 134, 134, 186, 186, 186, 181, 181, 181, 177, 177, 177, 179, 179, 179, 182, 182, 182, 180, 180, 180, 186, 186, 186, 183, 183, 183, 181, 181, 181, 186, 186, 186, 184, 184, 184, 186, 186, 186, 189, 189, 189, 191, 191, 191, 190, 190, 190, 188, 188, 188, 190, 190, 190, 189, 189, 189,
  187, 187, 187, 187, 187, 187, 193, 193, 193, 196, 196, 196, 195, 195, 195, 195, 195, 195, 199, 199, 199, 193, 193, 193, 194, 194, 194, 196, 196, 196, 197, 197, 197, 199, 199, 199, 201, 201, 201, 195, 195, 195, 199, 199, 199, 200, 200, 200, 202, 202, 202, 201, 201, 201, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 171, 171, 171, 178, 178, 178, 155, 155, 155,   2,   2,   2,  17,  17,  17,  40,  40,  40,  26,  26,  26, 113, 113, 113,  61,  61,  61,  68,  68,  68, 192, 192, 192, 135, 135, 135,
   57,  57,  57, 129, 129, 129,  37,  37,  37, 159, 159, 159, 196, 196, 196,  74,  74,  74,  91,  91,  91,  87,  87,  87,  28,  28,  28,  32,  32,  32,  29,  29,  29, 129, 129, 129,  48,  48,  48, 138, 138, 138, 195, 195, 195, 190, 190, 190, 165, 165, 165,  49,  49,  49,  33,  33,  33,  28,  28,  28,  85,  85,  85,
  186, 186, 186,  61,  61,  61,  37,  37,  37,  41,  41,  41,  31,  31,  31, 135, 135, 135, 161, 161, 161,  35,  35,  35,  38,  38,  38,  25,  25,  25,  72,  72,  72, 200, 200, 200, 196, 196, 196, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 171, 171, 171, 177, 177, 177, 159, 159, 159,   0,   0,   0, 100, 100, 100, 210, 210, 210, 196, 196, 196, 182, 182, 182,  23,  23,  23,   0,   0,   0, 144, 144, 144, 134, 134, 134,  12,  12,  12, 148, 148, 148,   0,   0,   0, 117, 117, 117, 193, 193, 193,  10,  10,  10, 109, 109, 109,
   48,  48,  48,  41,  41,  41, 143, 143, 143, 132, 132, 132, 149, 149, 149,   0,   0,   0, 125, 125, 125, 196, 196, 196, 199, 199, 199,  71,  71,  71,   5,   5,   5, 129, 129, 129,  97,  97,  97,   0,   0,   0, 132, 132, 132,  22,  22,  22,  64,  64,  64, 161, 161, 161,  57,  57,  57,  26,  26,  26, 138, 138, 138,
    0,   0,   0, 121, 121, 121, 143, 143, 143, 150, 150, 150, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 171, 171, 171, 177, 177, 177, 156, 156, 156,   4,   4,   4,  19,  19,  19,
   44,  44,  44,  40,  40,  40, 148, 148, 148,  34,  34,  34,   9,   9,   9,  58,  58,  58, 132, 132, 132,  11,  11,  11, 178, 178, 178,  26,  26,  26,  76,  76,  76, 165, 165, 165,   0,   0,   0, 161, 161, 161,  43,  43,  43,  44,  44,  44, 142, 142, 142, 141, 141, 141, 165, 165, 165,   0,   0,   0, 126, 126, 126,
  196, 196, 196, 199, 199, 199,  60,  60,  60,  33,  33,  33, 216, 216, 216, 172, 172, 172,   0,   0,   0, 128, 128, 128,  21,  21,  21, 103, 103, 103, 242, 242, 242, 104, 104, 104,  15,  15,  15, 136, 136, 136,   0,   0,   0, 122, 122, 122, 142, 142, 142, 170, 170, 170, 200, 200, 200, 196, 196, 196, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 171, 171, 171, 177, 177, 177, 157, 157, 157,   1,   1,   1,  37,  37,  37,  81,  81,  81,  74,  74,  74, 157, 157, 157,  22,  22,  22,  93,  93,  93,  33,  33,  33,  67,  67,  67,
   18,  18,  18, 184, 184, 184,  69,  69,  69,  41,  41,  41, 117, 117, 117,  17,  17,  17, 189, 189, 189,  42,  42,  42,   2,   2,   2,  27,  27,  27,  41,  41,  41, 152, 152, 152,   0,   0,   0, 124, 124, 124, 194, 194, 194, 198, 198, 198,  63,  63,  63,  28,  28,  28, 197, 197, 197, 157, 157, 157,   0,   0,   0,
  127, 127, 127,  31,  31,  31,  11,  11,  11,  44,  44,  44,   1,   1,   1,  72,  72,  72, 146, 146, 146,   0,   0,   0,  28,  28,  28,  18,  18,  18, 106, 106, 106, 207, 207, 207, 194, 194, 194, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 171, 171, 171, 177, 177, 177, 159, 159, 159,   0,   0,   0,  99,  99,  99, 208, 208, 208, 194, 194, 194, 183, 183, 183,  12,  12,  12, 123, 123, 123, 104, 104, 104,   0,   0,   0,  22,  22,  22, 182, 182, 182, 118, 118, 118,  18,  18,  18,  52,  52,  52,  60,  60,  60, 204, 204, 204,
   29,  29,  29,  74,  74,  74, 218, 218, 218, 206, 206, 206, 172, 172, 172,   0,   0,   0, 134, 134, 134, 208, 208, 208, 207, 207, 207,  58,  58,  58,  30,  30,  30, 216, 216, 216, 170, 170, 170,   0,   0,   0, 127, 127, 127,  27,  27,  27,  66,  66,  66, 146, 146, 146, 137, 137, 137, 201, 201, 201, 144, 144, 144,
    0,   0,   0, 185, 185, 185, 224, 224, 224, 209, 209, 209, 195, 195, 195, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 171, 171, 171, 178, 178, 178, 155, 155, 155,   4,   4,   4,  10,  10,  10,
   26,  26,  26,  12,  12,  12, 101, 101, 101,  24,  24,  24, 107, 107, 107, 182, 182, 182,  14,  14,  14,  11,  11,  11, 175, 175, 175, 164, 164, 164,  11,  11,  11,   0,   0,   0, 114, 114, 114, 200, 200, 200,  38,  38,  38,   8,   8,   8,  49,  49,  49,  41,  41,  41, 120, 120, 120,  11,  11,  11,  24,  24,  24,
   30,  30,  30,  96,  96,  96, 108, 108, 108,   0,   0,   0,  55,  55,  55,  34,  34,  34,   5,   5,   5, 152, 152, 152,  13,  13,  13, 101, 101, 101, 220, 220, 220, 199, 199, 199, 206, 206, 206, 140, 140, 140,   0,   0,   0,  42,  42,  42,  41,  41,  41,  76,  76,  76, 198, 198, 198, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 175, 175, 175, 167, 167, 167, 110, 110, 110, 102, 102, 102, 100, 100, 100,  96,  96,  96, 139, 139, 139, 120, 120, 120, 148, 148, 148, 189, 189, 189, 137, 137, 137,
  111, 111, 111, 177, 177, 177, 183, 183, 183, 123, 123, 123, 106, 106, 106, 168, 168, 168, 188, 188, 188, 130, 130, 130, 104, 104, 104, 103, 103, 103, 100, 100, 100, 152, 152, 152, 122, 122, 122, 107, 107, 107,  99,  99,  99, 132, 132, 132, 195, 195, 195, 125, 125, 125, 103, 103, 103, 103, 103, 103, 151, 151, 151,
  198, 198, 198, 120, 120, 120, 154, 154, 154, 196, 196, 196, 189, 189, 189, 197, 197, 197, 174, 174, 174, 115, 115, 115, 110, 110, 110, 104, 104, 104, 126, 126, 126, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 174, 174, 174, 185, 185, 185, 186, 186, 186, 188, 188, 188, 190, 190, 190, 183, 183, 183, 186, 186, 186, 182, 182, 182, 175, 175, 175, 185, 185, 185, 189, 189, 189, 180, 180, 180, 180, 180, 180, 191, 191, 191, 195, 195, 195, 184, 184, 184, 181, 181, 181,
  192, 192, 192, 197, 197, 197, 199, 199, 199, 199, 199, 199, 191, 191, 191, 197, 197, 197, 201, 201, 201, 203, 203, 203, 198, 198, 198, 188, 188, 188, 200, 200, 200, 204, 204, 204, 204, 204, 204, 198, 198, 198, 190, 190, 190, 203, 203, 203, 197, 197, 197, 191, 191, 191, 194, 194, 194, 193, 193, 193, 197, 197, 197,
  208, 208, 208, 209, 209, 209, 212, 212, 212, 208, 208, 208, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  59,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  26,  27,  24,  25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   9,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 172, 172, 172, 171, 171, 171,
  172, 172, 172, 173, 173, 173, 175, 175, 175, 175, 175, 175, 176, 176, 176, 178, 178, 178, 176, 176, 176, 175, 175, 175, 179, 179, 179, 181, 181, 181, 179, 179, 179, 179, 179, 179, 181, 181, 181, 182, 182, 182, 181, 181, 181, 181, 181, 181, 182, 182, 182, 181, 181, 181, 184, 184, 184, 184, 184, 184, 184, 184, 184,
  184, 184, 184, 186, 186, 186, 189, 189, 189, 186, 186, 186, 186, 186, 186, 186, 186, 186, 189, 189, 189, 191, 191, 191, 188, 188, 188, 190, 190, 190, 193, 193, 193, 193, 193, 193, 194, 194, 194, 193, 193, 193, 191, 191, 191, 191, 191, 191, 192, 192, 192, 194, 194, 194, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  69,  67,  66,  67,  67,  67,  68,  67,  66,  67,  66,  65,  67,  66,  65,  67,  66,  66,  67,  66,  65,  66,  65,  64,  66,  65,  65,  66,
   65,  64,  66,  64,  64,  65,  64,  63,  65,  64,  63,  65,  64,  63,  64,  63,  62,  64,  63,  62,  64,  63,  63,  64,  63,  62,  63,  62,  61,  62,  62,  62,  62,  62,  61,  63,  60,  68,  55,  60,  64,  58,  61,  60,  62,  61,  60,  61,  60,  59,  61,  60,  59,  61,  60,  60,  61,  60,  59,  60,  59,  58,  59,
   59,  58,  60,  59,  58,  60,  58,  58,  59,  58,  57,  58,  58,  57,  59,  58,  57,  58,  57,  56,  57,  57,  56,  58,  57,  56,  58,  57,  56,  57,  56,  55,  56,  56,  55,  57,  56,  55,  57,  56,  55,  56,  55,  54,  55,  55,  54,  56,  55,  54,  56,  54,  54,  55,  54,  53,  54,  54,  53,  55,  54,  53,  54,
   53,  52,  53,  53,  53,  53,  53,  51,  54,  52,  58,  48,  51,  58,  48,  52,  50,  53,  52,  51,  52,  51,  50,  52,  51,  50,  51,  51,  50,  52,  51,  50,  51,  50,  49,  50,  50,  49,  50,  50,  49,  50,  49,  49,  50,  49,  48,  49,  49,  48,  49,  49,  48,  49,  48,  47,  49,  48,  47,  48,  48,  47,  48,
   48,  47,  48,  47,  46,  47,  47,  46,  47,  47,  46,  48,  46,  46,  47,  46,  45,  46,  46,  45,  46,  46,  45,  46,  45,  44,  45,  45,  44,  45,  45,  44,  45,  45,  44,  45,  44,  43,  44,  44,  43,  44,  44,  42,  45,  44,  47,  41,  44,  51,  38,  43,  41,  44,  43,  42,  43,  42,  41,  42,  42,  41,  42,
   42,  41,  42,  41,  41,  42,  41,  40,  41,  41,  40,  41,  41,  40,  41,  40,  40,  41,  40,  39,  40,  40,  39,  40,  40,  39,  40,  39,  38,  39,  39,  38,  39,  39,  38,  39,  39,  38,  39,  38,  37,  38,  38,  37,  38,  38,  37,  38,  37,  37,  38,  37,  36,  37,  37,  36,  37,  37,  36,  37,  36,  35,  36,
   36,  35,  36,  36,  35,  36,  35,  35,  36,  35,  34,  35,  35,  34,  35,  35,  34,  36,  35,  36,  34,  36,  44,  30,  34,  33,  34,  34,  33,  34,  33,  32,  33,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  32,  31,  31,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,
   30,  29,  31,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  29,  28,  28,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  27,  27,  26,  27,  27,  26,  27,  27,  26,  27,  26,  25,  26,  26,  25,  26,  26,  25,  26,  25,  25,  25,  28,  37,  22,  25,  26,  25,
   25,  24,  25,  24,  24,  24,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,  23,  22,  23,  22,  22,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  20,  21,  21,  20,  21,  21,  20,  21,  20,  19,  20,  20,  19,  20,  20,  19,  20,  19,  19,  20,  19,  18,  19,
   19,  18,  19,  19,  18,  19,  18,  17,  18,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  16,  17,  17,  16,  17,  17,  16,  17,  16,  15,  17,  19,  28,  14,  17,  20,  15,  15,  14,  16,  15,  14,  15,  15,  14,  15,  15,  14,  15,  15,  14,  15,  14,  13,  14,  14,  13,  14,  14,  13,  14,  13,  13,  14,
   13,  12,  13,  13,  12,  13,  13,  12,  13,  12,  11,  12,  12,  11,  12,  12,  11,  12,  11,  11,  12,  11,  10,  11,  11,  10,  11,  11,  10,  11,  10,  10,  11,  10,   9,  10,  10,   9,  10,  10,   9,  10,   9,   8,   9,   9,   8,   9,   9,   8,   9,   9,   8,   9,   8,   7,   8,   8,   7,   8,   8,   7,   8,
    7,   5,   8,  11,  18,   6,  10,  15,   7,   6,   4,   7,   6,   6,   6,   6,   5,   6,   6,   5,   6,   6,   5,   6,   5,   4,   5,   5,   4,   5,   5,   4,   5,   4,   4,   5,   4,   3,   4,   4,   3,   4,   4,   3,   4,   3,   2,   3,   3,   2,   3,   3,   2,   3,   2,   2,   3,   2,   1,   2,   2,   1,   2,
    2,   1,   2,   1,   1,   2,   1,   0,   1,   1,   0,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  63,  65,  62,  68,  71,  66,  66,  69,  64,  66,  69,  64,  66,  69,  64,  65,  68,  63,  65,  68,  63,  65,  68,  63,  65,  68,  63,  64,  67,  62,  64,  67,  62,  64,  67,  62,  63,  67,  61,  63,  66,  61,  63,  67,  61,  63,  66,  61,  62,  66,  60,  62,  65,  60,
   62,  66,  60,  62,  65,  60,  61,  64,  59,  62,  65,  59,  62,  64,  60,  59,  70,  52,  60,  67,  55,  61,  63,  59,  60,  63,  58,  60,  62,  57,  60,  62,  57,  60,  63,  58,  59,  62,  57,  58,  62,  56,  59,  62,  57,  59,  62,  56,  58,  61,  56,  58,  61,  55,  58,  61,  56,  57,  61,  55,  57,  60,  55,
   57,  60,  55,  57,  60,  55,  56,  59,  54,  56,  59,  54,  56,  59,  54,  56,  59,  54,  55,  58,  53,  55,  58,  53,  55,  58,  53,  55,  58,  53,  54,  57,  52,  54,  57,  52,  54,  57,  52,  53,  57,  51,  53,  56,  51,  53,  56,  51,  53,  55,  52,  52,  61,  46,  51,  61,  45,  52,  54,  51,  52,  55,  50,
   51,  54,  49,  51,  54,  49,  51,  54,  49,  51,  54,  49,  50,  53,  48,  50,  53,  48,  50,  53,  48,  49,  52,  47,  49,  52,  47,  49,  52,  47,  49,  52,  47,  48,  51,  46,  48,  51,  46,  48,  51,  46,  48,  51,  46,  47,  50,  45,  47,  50,  45,  47,  50,  45,  46,  50,  44,  46,  49,  44,  46,  49,  44,
   46,  49,  44,  45,  48,  43,  45,  48,  43,  45,  48,  43,  45,  48,  43,  44,  47,  42,  44,  47,  42,  44,  46,  43,  44,  51,  39,  44,  55,  36,  43,  45,  42,  43,  46,  41,  42,  45,  40,  42,  45,  40,  42,  45,  40,  42,  45,  40,  41,  44,  39,  41,  44,  39,  41,  44,  39,  41,  44,  39,  40,  43,  38,
   40,  43,  38,  40,  43,  38,  39,  43,  38,  39,  43,  37,  39,  43,  37,  39,  42,  37,  38,  42,  36,  38,  42,  36,  39,  42,  36,  38,  41,  36,  37,  41,  35,  37,  41,  35,  37,  41,  35,  37,  40,  34,  36,  40,  34,  37,  40,  34,  36,  39,  34,  35,  39,  33,  35,  39,  33,  35,  38,  34,  35,  40,  32,
   36,  48,  28,  35,  38,  33,  34,  38,  32,  34,  37,  32,  34,  37,  32,  34,  37,  32,  34,  37,  32,  33,  36,  31,  33,  36,  31,  33,  36,  31,  32,  35,  30,  32,  35,  30,  32,  35,  30,  32,  35,  30,  31,  34,  29,  31,  34,  29,  31,  34,  29,  31,  34,  29,  30,  33,  28,  30,  33,  28,  30,  33,  28,
   29,  32,  27,  29,  32,  27,  29,  32,  27,  29,  32,  27,  28,  31,  26,  28,  31,  26,  28,  31,  26,  28,  31,  26,  27,  30,  25,  27,  30,  25,  27,  30,  25,  27,  30,  24,  29,  41,  21,  26,  31,  23,  26,  29,  24,  25,  28,  23,  25,  28,  23,  25,  28,  23,  25,  28,  23,  24,  27,  22,  24,  27,  22,
   24,  27,  22,  24,  27,  22,  23,  26,  21,  23,  26,  21,  23,  26,  21,  22,  25,  20,  22,  25,  20,  22,  25,  20,  22,  25,  20,  21,  24,  19,  21,  24,  19,  21,  24,  19,  21,  24,  19,  20,  23,  18,  20,  23,  18,  20,  23,  18,  19,  23,  17,  19,  22,  17,  19,  22,  17,  19,  22,  17,  18,  21,  16,
   18,  21,  16,  18,  22,  16,  18,  20,  16,  21,  33,  13,  19,  25,  15,  17,  20,  15,  17,  20,  15,  16,  19,  14,  16,  20,  14,  16,  19,  14,  16,  19,  14,  16,  19,  14,  16,  19,  14,  15,  18,  13,  14,  17,  12,  15,  18,  13,  15,  18,  13,  14,  17,  12,  14,  16,  11,  14,  17,  12,  13,  16,  11,
   13,  15,  10,  13,  16,  11,  13,  16,  11,  12,  15,  10,  12,  15,   9,  12,  15,  10,  12,  15,  10,  11,  14,   9,  11,  14,   9,  11,  14,   9,  11,  14,   9,  10,  13,   8,  10,  13,   8,  10,  13,   8,   9,  11,   8,  13,  23,   6,  12,  20,   6,   8,  10,   7,   8,  12,   6,   8,  11,   6,   8,  11,   6,
    8,  11,   6,   7,  10,   5,   7,  10,   5,   7,  10,   5,   6,  10,   4,   6,   9,   4,   6,   9,   4,   6,   9,   4,   5,   8,   3,   5,   8,   3,   5,   8,   3,   5,   8,   3,   4,   7,   2,   4,   7,   2,   4,   7,   2,   4,   7,   2,   3,   6,   1,   3,   7,   1,   2,   4,   1,   1,   1,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  62,  69,  57,  66,  76,  60,  64,  73,  58,  65,  74,  59,
   64,  74,  58,  64,  73,  58,  64,  73,  58,  64,  73,  58,  63,  72,  57,  63,  72,  56,  63,  72,  57,  63,  72,  57,  62,  72,  56,  62,  72,  56,  62,  72,  56,  62,  72,  56,  61,  71,  55,  61,  71,  55,  61,  71,  55,  61,  70,  55,  60,  70,  54,  60,  70,  54,  61,  69,  55,  58,  75,  48,  59,  72,  50,
   60,  68,  54,  59,  69,  53,  58,  68,  52,  58,  68,  52,  59,  68,  52,  58,  67,  52,  57,  67,  51,  58,  67,  51,  57,  67,  51,  57,  66,  50,  56,  66,  50,  57,  66,  50,  56,  66,  50,  56,  65,  50,  56,  65,  50,  56,  66,  50,  56,  65,  50,  55,  64,  49,  55,  64,  49,  55,  65,  49,  55,  64,  49,
   54,  63,  48,  54,  63,  48,  54,  63,  48,  53,  63,  47,  53,  62,  47,  53,  62,  47,  53,  62,  47,  52,  61,  46,  52,  62,  46,  52,  61,  47,  51,  67,  42,  51,  67,  41,  51,  60,  46,  51,  61,  45,  51,  60,  45,  51,  60,  45,  51,  60,  45,  51,  60,  45,  50,  59,  44,  50,  59,  44,  50,  59,  44,
   49,  58,  43,  49,  58,  43,  49,  58,  43,  49,  58,  43,  48,  57,  42,  48,  57,  42,  48,  57,  42,  48,  57,  42,  47,  56,  41,  47,  56,  41,  47,  56,  41,  46,  56,  40,  46,  56,  40,  46,  56,  40,  46,  56,  40,  45,  55,  40,  45,  55,  40,  45,  55,  40,  45,  55,  39,  45,  54,  39,  45,  54,  38,
   45,  53,  39,  44,  57,  36,  44,  61,  33,  44,  52,  38,  44,  53,  37,  43,  52,  37,  43,  52,  37,  43,  52,  37,  42,  51,  36,  42,  51,  36,  42,  51,  36,  42,  51,  36,  41,  51,  35,  41,  51,  35,  41,  51,  35,  41,  51,  35,  40,  50,  34,  40,  50,  34,  40,  50,  34,  40,  49,  34,  39,  49,  33,
   39,  49,  33,  40,  49,  33,  39,  48,  33,  38,  48,  32,  39,  48,  32,  38,  48,  32,  38,  47,  31,  37,  47,  31,  38,  47,  31,  37,  46,  31,  36,  46,  30,  37,  46,  30,  36,  45,  31,  36,  47,  29,  37,  55,  25,  36,  45,  30,  35,  45,  29,  35,  45,  29,  35,  44,  29,  35,  44,  29,  35,  44,  29,
   34,  44,  28,  34,  43,  28,  34,  44,  28,  34,  43,  28,  33,  42,  27,  33,  42,  27,  33,  42,  27,  33,  42,  26,  32,  41,  26,  32,  42,  26,  32,  41,  26,  31,  41,  25,  31,  41,  25,  31,  41,  25,  31,  40,  25,  30,  39,  24,  30,  40,  24,  30,  40,  24,  29,  39,  24,  29,  39,  24,  29,  39,  24,
   29,  39,  24,  29,  38,  23,  29,  38,  23,  29,  38,  23,  29,  38,  22,  31,  48,  19,  28,  39,  22,  28,  37,  22,  27,  37,  21,  27,  36,  21,  27,  36,  21,  27,  36,  21,  26,  35,  20,  26,  35,  20,  26,  35,  20,  26,  35,  20,  25,  34,  19,  25,  34,  19,  25,  34,  19,  24,  34,  19,  24,  34,  19,
   24,  34,  19,  24,  34,  18,  24,  33,  18,  24,  33,  18,  24,  33,  18,  23,  33,  17,  23,  32,  17,  23,  32,  17,  23,  32,  17,  22,  31,  16,  22,  31,  16,  22,  31,  16,  22,  31,  16,  21,  30,  15,  21,  30,  15,  21,  30,  15,  20,  29,  14,  23,  41,  12,  21,  33,  13,  20,  28,  14,  19,  29,  13,
   19,  29,  13,  19,  29,  13,  19,  29,  13,  19,  28,  12,  19,  28,  12,  19,  28,  13,  18,  27,  12,  18,  27,  11,  18,  27,  12,  18,  27,  11,  17,  26,  11,  17,  26,  10,  17,  26,  11,  16,  25,  10,  16,  25,   9,  16,  25,   9,  16,  25,  10,  15,  24,   9,  15,  24,   8,  15,  24,   9,  15,  24,   9,
   14,  24,   8,  14,  24,   8,  14,  24,   8,  14,  24,   8,  13,  23,   7,  13,  23,   7,  13,  23,   7,  13,  21,   7,  16,  32,   5,  15,  29,   6,  12,  20,   6,  12,  21,   6,  11,  20,   5,  11,  21,   5,  11,  21,   5,  10,  20,   4,  10,  20,   4,  10,  20,   4,  10,  19,   4,   9,  19,   3,   9,  19,   3,
    9,  19,   3,   9,  18,   3,   8,  18,   3,   8,  18,   3,   8,  18,   3,   8,  17,   2,   8,  17,   2,   8,  17,   2,   8,  17,   2,   7,  16,   1,   8,  17,   1,   4,   9,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  69,  67,  66,  67,  67,  67,  68,  67,  66,  67,  66,  66,  66,  66,  66,  66,  66,  66,  67,  66,  65,  66,  65,  65,  65,  65,  65,  66,
   65,  65,  65,  64,  64,  65,  64,  64,  64,  64,  64,  65,  64,  63,  64,  63,  63,  63,  63,  63,  63,  63,  63,  64,  63,  62,  63,  62,  61,  62,  62,  62,  62,  62,  61,  63,  60,  68,  55,  60,  64,  58,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  61,  60,  59,  60,  59,  58,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  59,  58,  57,  58,  58,  58,  58,  58,  57,  58,  57,  56,  57,  57,  57,  57,  57,  57,  57,  57,  56,  57,  56,  55,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  54,  55,  55,  55,  55,  55,  55,  55,  54,  54,  55,  54,  53,  54,  54,  54,  54,  54,  53,  54,
   53,  52,  53,  53,  53,  53,  53,  52,  54,  52,  58,  48,  51,  58,  47,  52,  50,  53,  52,  52,  52,  51,  51,  51,  51,  50,  51,  51,  51,  51,  51,  50,  51,  50,  49,  50,  50,  49,  50,  50,  50,  50,  49,  49,  50,  49,  48,  49,  49,  48,  49,  49,  48,  49,  48,  48,  49,  48,  47,  48,  48,  48,  48,
   48,  47,  48,  47,  46,  47,  47,  46,  47,  47,  47,  47,  46,  46,  47,  46,  45,  46,  46,  45,  46,  46,  45,  46,  45,  45,  45,  45,  44,  45,  45,  45,  45,  45,  44,  45,  44,  43,  44,  44,  44,  44,  44,  43,  45,  44,  47,  41,  44,  51,  38,  43,  42,  44,  43,  42,  43,  42,  41,  42,  42,  41,  42,
   42,  42,  42,  42,  41,  42,  41,  40,  41,  41,  40,  41,  41,  41,  41,  40,  40,  41,  40,  39,  40,  40,  39,  40,  40,  39,  40,  39,  39,  39,  39,  38,  39,  39,  38,  39,  39,  38,  39,  38,  37,  38,  38,  37,  38,  38,  37,  38,  37,  37,  38,  37,  36,  37,  37,  36,  37,  37,  36,  37,  36,  35,  36,
   36,  35,  36,  36,  35,  36,  36,  35,  36,  35,  34,  35,  35,  34,  35,  35,  34,  36,  35,  36,  33,  36,  44,  30,  34,  33,  34,  34,  33,  34,  33,  33,  33,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  32,  31,  31,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,
   30,  30,  30,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  29,  28,  28,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  27,  27,  26,  27,  27,  26,  27,  27,  26,  27,  26,  25,  26,  26,  25,  26,  26,  25,  26,  25,  26,  25,  28,  37,  22,  25,  26,  25,
   25,  24,  25,  24,  24,  24,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,  23,  22,  23,  22,  22,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  20,  21,  21,  20,  21,  21,  20,  21,  20,  19,  20,  20,  19,  20,  20,  19,  20,  19,  19,  20,  19,  18,  19,
   19,  18,  19,  19,  18,  19,  18,  17,  18,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  16,  17,  17,  16,  17,  17,  16,  17,  16,  15,  17,  19,  28,  14,  17,  20,  15,  16,  14,  16,  15,  15,  15,  15,  14,  15,  15,  14,  15,  15,  14,  15,  14,  13,  14,  14,  13,  14,  14,  13,  14,  13,  13,  14,
   13,  12,  13,  13,  12,  13,  13,  12,  13,  12,  11,  12,  12,  11,  12,  12,  11,  12,  11,  11,  12,  11,  10,  11,  11,  10,  11,  11,  10,  11,  10,  10,  11,  10,   9,  10,  10,   9,  10,  10,   9,  10,   9,   8,   9,   9,   8,   9,   9,   8,   9,   9,   8,   9,   8,   7,   8,   8,   7,   8,   8,   8,   8,
    7,   5,   8,  11,  18,   6,  10,  15,   7,   6,   5,   7,   6,   6,   6,   6,   5,   6,   6,   5,   6,   6,   5,   6,   5,   4,   5,   5,   4,   5,   5,   4,   5,   4,   4,   5,   4,   3,   4,   4,   3,   4,   4,   3,   4,   3,   2,   3,   3,   2,   3,   3,   2,   3,   3,   2,   3,   2,   1,   2,   2,   1,   2,
    2,   1,   2,   1,   1,   2,   1,   0,   1,   1,   0,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 183, 183, 183, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 194, 194, 194, 187, 187, 187, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 185, 185, 185, 183, 183, 183, 134, 134, 134, 180, 180, 180, 188, 188, 188,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 177, 177, 177, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 180, 180, 180, 180, 180, 180, 181, 181, 181, 186, 186, 186, 178, 178, 178,  37,  37,  37, 163, 163, 163, 191, 191, 191, 183, 183, 183, 185, 185, 185, 186, 186, 186, 187, 187, 187, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 177, 177, 177, 178, 178, 178, 179, 179, 179, 179, 179, 179, 178, 178, 178, 181, 181, 181, 187, 187, 187, 193, 193, 193,
  196, 196, 196, 194, 194, 194, 193, 193, 193, 182, 182, 182,  39,  39,  39, 168, 168, 168, 199, 199, 199, 198, 198, 198, 201, 201, 201, 200, 200, 200, 194, 194, 194, 188, 188, 188, 186, 186, 186, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 176, 176, 176, 179, 179, 179, 181, 181, 181, 175, 175, 175, 177, 177, 177, 186, 186, 186, 194, 194, 194, 186, 186, 186, 162, 162, 162, 124, 124, 124,  91,  91,  91,  60,  60,  60,  40,  40,  40,  28,  28,  28,   4,   4,   4,  27,  27,  27,  41,  41,  41,
   63,  63,  63,  92,  92,  92, 129, 129, 129, 167, 167, 167, 194, 194, 194, 203, 203, 203, 197, 197, 197, 189, 189, 189, 188, 188, 188, 193, 193, 193, 194, 194, 194, 192, 192, 192, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 178, 178, 178, 175, 175, 175,  52,  52,  52, 154, 154, 154,
  192, 192, 192, 188, 188, 188, 159, 159, 159,  99,  99,  99,  32,  32,  32,   0,   0,   0,   0,   0,   0,   0,   0,   0,   2,   2,   2,  16,  16,  16,  26,  26,  26,   7,   7,   7,  23,  23,  23,  17,  17,  17,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,  34,  34,  34, 102, 102, 102, 165, 165, 165,
  202, 202, 202, 203, 203, 203, 180, 180, 180,  54,  54,  54, 179, 179, 179, 198, 198, 198, 193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 175, 175, 175, 187, 187, 187,  83,  83,  83,  63,  63,  63, 156, 156, 156,  59,  59,  59,   2,   2,   2,   0,   0,   0,  14,  14,  14,  64,  64,  64, 115, 115, 115,
  150, 150, 150, 170, 170, 170, 186, 186, 186, 181, 181, 181,  38,  38,  38, 166, 166, 166, 192, 192, 192, 172, 172, 172, 155, 155, 155, 118, 118, 118,  69,  69,  69,  14,  14,  14,   0,   0,   0,   2,   2,   2,  60,  60,  60, 165, 165, 165,  87,  87,  87,  70,  70,  70, 202, 202, 202, 192, 192, 192, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 174, 174, 174, 191, 191, 191, 157, 157, 157,  12,  12,  12,   3,   3,   3,   0,   0,   0,  51,  51,  51, 129, 129, 129, 177, 177, 177, 194, 194, 194, 194, 194, 194, 191, 191, 191, 187, 187, 187, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 193, 193, 193,
  190, 190, 190, 196, 196, 196, 201, 201, 201, 201, 201, 201, 184, 184, 184, 137, 137, 137,  55,  55,  55,   0,   0,   0,   6,   6,   6,   7,   7,   7, 156, 156, 156, 212, 212, 212, 191, 191, 191, 193, 193, 193, 195, 195, 195, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 175, 175, 175, 177, 177, 177, 188, 188, 188, 116, 116, 116,  12,  12,  12,   0,   0,   0,
   13,  13,  13, 142, 142, 142, 191, 191, 191, 192, 192, 192, 183, 183, 183, 179, 179, 179, 179, 179, 179, 181, 181, 181, 182, 182, 182, 186, 186, 186, 178, 178, 178,  37,  37,  37, 163, 163, 163, 192, 192, 192, 185, 185, 185, 186, 186, 186, 186, 186, 186, 186, 186, 186, 191, 191, 191, 200, 200, 200, 200, 200, 200,
  159, 159, 159,  22,  22,  22,   0,   0,   0,  12,  12,  12, 126, 126, 126, 205, 205, 205, 194, 194, 194, 193, 193, 193, 195, 195, 195, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 173, 173, 173, 179, 179, 179, 180, 180, 180,  77,  77,  77,   0,   0,   0,  18,  18,  18, 129, 129, 129,  49,  49,  49, 115, 115, 115, 193, 193, 193, 176, 176, 176, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 183, 183, 183, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192, 186, 186, 186, 188, 188, 188, 189, 189, 189, 188, 188, 188, 188, 188, 188, 184, 184, 184, 200, 200, 200, 144, 144, 144,  42,  42,  42, 135, 135, 135,  21,  21,  21,   0,   0,   0,  79,  79,  79, 199, 199, 199,
  198, 198, 198, 192, 192, 192, 196, 196, 196, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 172, 172, 172,
  178, 178, 178, 176, 176, 176,  54,  54,  54,   0,   0,   0,  51,  51,  51, 165, 165, 165, 199, 199, 199, 140, 140, 140,  25,  25,  25, 175, 175, 175, 183, 183, 183, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192,
  186, 186, 186, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 195, 195, 195,  37,  37,  37, 130, 130, 130, 216, 216, 216, 180, 180, 180,  61,  61,  61,   0,   0,   0,  56,  56,  56, 191, 191, 191, 198, 198, 198, 193, 193, 193, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 173, 173, 173, 176, 176, 176, 174, 174, 174,  48,  48,  48,   0,   0,   0,  77,  77,  77, 184, 184, 184, 182, 182, 182, 172, 172, 172,
  193, 193, 193,  69,  69,  69,  80,  80,  80, 197, 197, 197, 178, 178, 178, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192, 186, 186, 186, 188, 188, 188, 189, 189, 189, 189, 189, 189, 186, 186, 186, 205, 205, 205, 107, 107, 107,
   54,  54,  54, 204, 204, 204, 186, 186, 186, 197, 197, 197, 201, 201, 201,  87,  87,  87,   0,   0,   0,  51,  51,  51, 193, 193, 193, 198, 198, 198, 195, 195, 195, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 171, 171, 171, 171, 171, 171, 173, 173, 173, 173, 173, 173, 180, 180, 180,  60,  60,  60,   0,   0,   0,  84,  84,  84, 188, 188, 188, 177, 177, 177, 176, 176, 176, 177, 177, 177, 182, 182, 182, 166, 166, 166,  25,  25,  25, 155, 155, 155, 188, 188, 188, 181, 181, 181, 182, 182, 182,
  183, 183, 183, 183, 183, 183, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192, 186, 186, 186, 188, 188, 188, 189, 189, 189, 187, 187, 187, 192, 192, 192, 178, 178, 178,  27,  27,  27, 160, 160, 160, 198, 198, 198, 190, 190, 190, 190, 190, 190, 193, 193, 193, 208, 208, 208,  94,  94,  94,
    0,   0,   0,  61,  61,  61, 201, 201, 201, 196, 196, 196, 196, 196, 196, 195, 195, 195, 195, 195, 195, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 170, 170, 170, 179, 179, 179, 182, 182, 182, 168, 168, 168, 186, 186, 186,  87,  87,  87,
    0,   0,   0,  72,  72,  72, 187, 187, 187, 176, 176, 176, 176, 176, 176, 178, 178, 178, 178, 178, 178, 175, 175, 175, 194, 194, 194,  98,  98,  98,  55,  55,  55, 194, 194, 194, 180, 180, 180, 182, 182, 182, 183, 183, 183, 183, 183, 183, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192,
  186, 186, 186, 188, 188, 188, 189, 189, 189, 185, 185, 185, 205, 205, 205,  76,  76,  76,  82,  82,  82, 207, 207, 207, 188, 188, 188, 191, 191, 191, 193, 193, 193, 192, 192, 192, 192, 192, 192, 206, 206, 206,  83,  83,  83,   0,   0,   0,  96,  96,  96, 209, 209, 209, 190, 190, 190, 205, 205, 205, 206, 206, 206,
  196, 196, 196, 199, 199, 199, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 171, 171, 171, 177, 177, 177, 136, 136, 136, 127, 127, 127, 195, 195, 195, 130, 130, 130,   0,   0,   0,  44,  44,  44, 180, 180, 180, 177, 177, 177, 176, 176, 176, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 184, 184, 184,  33,  33,  33, 130, 130, 130, 193, 193, 193, 180, 180, 180, 183, 183, 183, 183, 183, 183, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192, 186, 186, 186, 188, 188, 188, 187, 187, 187, 196, 196, 196, 155, 155, 155,  28,  28,  28, 182, 182, 182,
  194, 194, 194, 190, 190, 190, 191, 191, 191, 192, 192, 192, 193, 193, 193, 193, 193, 193, 195, 195, 195, 199, 199, 199,  50,  50,  50,   0,   0,   0, 141, 141, 141, 223, 223, 223, 153, 153, 153, 147, 147, 147, 204, 204, 204, 197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  170, 170, 170, 178, 178, 178, 130, 130, 130,  19,  19,  19,  71,  71,  71,  28,  28,  28,  12,  12,  12, 156, 156, 156, 180, 180, 180, 174, 174, 174, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 177, 177, 177, 192, 192, 192, 126, 126, 126,  35,  35,  35, 186, 186, 186, 182, 182, 182,
  183, 183, 183, 183, 183, 183, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192, 186, 186, 186, 188, 188, 188, 187, 187, 187, 200, 200, 200,  51,  51,  51, 110, 110, 110, 206, 206, 206, 188, 188, 188, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 192, 192, 192,
  198, 198, 198, 175, 175, 175,  13,  13,  13,  32,  32,  32,  92,  92,  92,  17,  17,  17, 133, 133, 133, 206, 206, 206, 196, 196, 196, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 170, 170, 170, 180, 180, 180, 173, 173, 173,  42,  42,  42,   0,   0,   0,  53,  53,  53,
  182, 182, 182, 187, 187, 187, 175, 175, 175, 175, 175, 175, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 178, 178, 178, 193, 193, 193,  52,  52,  52, 101, 101, 101, 197, 197, 197, 180, 180, 180, 183, 183, 183, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192,
  186, 186, 186, 185, 185, 185, 202, 202, 202, 126, 126, 126,  39,  39,  39, 195, 195, 195, 190, 190, 190, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 192, 192, 192, 191, 191, 191, 204, 204, 204, 208, 208, 208,  66,  66,  66,   0,   0,   0,  38,  38,  38, 188, 188, 188, 207, 207, 207,
  195, 195, 195, 199, 199, 199, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  66,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  66,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  55,  60,  64,  58,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  60,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  58,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  47,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  44,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  41,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  35,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  36,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  32,  31,  30,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  29,  30,  30,  30,  30,  30,  29,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  29,  28,  27,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  27,  26,  26,  26,  26,  26,  26,  26,  25,  26,  26,  26,  25,  28,  38,  22,  25,  26,  25,
   25,  24,  25,  24,  24,  24,  24,  23,  24,  24,  24,  24,  24,  23,  24,  23,  23,  23,  23,  22,  23,  23,  23,  23,  22,  22,  23,  22,  21,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  20,  21,  21,  21,  21,  21,  20,  21,  20,  19,  20,  20,  20,  20,  20,  20,  20,  19,  19,  20,  19,  18,  19,
   19,  19,  19,  19,  18,  19,  18,  18,  18,  18,  17,  18,  18,  18,  18,  18,  17,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  15,  17,  20,  28,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  14,  15,  15,  15,  15,  15,  14,  15,  14,  13,  14,  14,  13,  14,  14,  14,  14,  13,  13,  14,
   13,  12,  13,  13,  12,  13,  13,  12,  13,  12,  12,  12,  12,  11,  12,  12,  12,  12,  12,  11,  12,  11,  10,  11,  11,  10,  11,  11,  11,  11,  10,  10,  11,  10,   9,  10,  10,   9,  10,  10,  10,  10,   9,   9,   9,   9,   8,   9,   9,   8,   9,   9,   8,   9,   8,   8,   8,   8,   7,   8,   8,   8,   8,
    7,   6,   8,  11,  18,   6,  10,  15,   7,   6,   5,   7,   6,   6,   6,   6,   5,   6,   6,   5,   6,   6,   5,   6,   5,   5,   5,   5,   4,   5,   5,   5,   5,   4,   4,   5,   4,   3,   4,   4,   3,   4,   4,   3,   4,   3,   3,   3,   3,   2,   3,   3,   2,   3,   3,   2,   3,   2,   1,   2,   2,   1,   2,
    2,   1,   2,   2,   1,   2,   1,   0,   1,   1,   0,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 174, 174, 174, 162, 162, 162,  13,  13,  13,  33,  33,  33,  66,  66,  66,  23,  23,  23, 117, 117, 117, 188, 188, 188, 185, 185, 185, 174, 174, 174, 177, 177, 177, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 179, 179, 179, 188, 188, 188, 153, 153, 153,  26,  26,  26, 171, 171, 171, 186, 186, 186, 182, 182, 182, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192, 186, 186, 186, 188, 188, 188, 189, 189, 189,  33,  33,  33, 140, 140, 140, 200, 200, 200, 188, 188, 188,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 190, 190, 190, 200, 200, 200, 209, 209, 209, 142, 142, 142,  32,  32,  32,  65,  65,  65,  34,  34,  34,  16,  16,  16, 187, 187, 187, 198, 198, 198, 196, 196, 196, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  63,  65,  63,  68,  70,  67,  66,  68,  65,  67,  68,  66,  66,  68,  65,  66,  67,  65,  66,  67,  65,  66,  67,  65,  65,  66,  64,  65,  66,  64,  65,  66,  64,  65,  66,  64,  64,  65,  63,  64,  65,  63,  64,  65,  63,  63,  65,  63,  63,  64,  62,  63,  64,  62,
   63,  64,  62,  62,  64,  61,  62,  63,  61,  62,  63,  61,  62,  63,  61,  60,  69,  53,  60,  66,  56,  61,  62,  60,  61,  62,  59,  60,  61,  59,  60,  61,  59,  60,  61,  59,  59,  61,  58,  59,  60,  58,  59,  60,  58,  59,  60,  58,  58,  59,  57,  58,  59,  57,  58,  59,  57,  58,  59,  57,  57,  58,  56,
   57,  58,  56,  57,  58,  56,  56,  58,  56,  56,  57,  55,  56,  57,  55,  56,  57,  55,  55,  57,  54,  55,  56,  54,  55,  56,  54,  55,  56,  54,  54,  55,  53,  54,  55,  53,  54,  55,  53,  54,  55,  53,  53,  54,  52,  53,  54,  52,  53,  53,  53,  52,  60,  47,  51,  60,  46,  52,  53,  52,  52,  54,  51,
   51,  53,  50,  51,  52,  50,  51,  53,  50,  51,  52,  50,  50,  51,  49,  50,  51,  49,  50,  52,  49,  49,  51,  48,  49,  50,  48,  49,  50,  48,  49,  50,  48,  48,  50,  47,  48,  49,  47,  48,  50,  47,  48,  49,  47,  47,  48,  46,  47,  48,  46,  47,  49,  46,  46,  48,  45,  46,  47,  45,  46,  48,  45,
   46,  47,  45,  45,  47,  44,  45,  46,  44,  45,  47,  44,  45,  46,  44,  44,  45,  43,  44,  46,  43,  44,  45,  44,  44,  49,  40,  44,  53,  37,  43,  44,  43,  43,  45,  42,  42,  44,  41,  42,  44,  41,  42,  44,  41,  42,  43,  41,  41,  43,  40,  41,  43,  40,  41,  43,  40,  41,  42,  40,  40,  42,  39,
   40,  42,  39,  40,  42,  39,  39,  41,  38,  39,  41,  38,  39,  41,  38,  39,  40,  38,  38,  40,  37,  38,  40,  37,  38,  40,  37,  38,  39,  37,  37,  39,  36,  37,  39,  36,  37,  39,  36,  36,  38,  35,  36,  38,  35,  36,  38,  35,  36,  37,  35,  35,  37,  34,  35,  37,  34,  35,  36,  35,  35,  38,  32,
   36,  46,  29,  34,  36,  33,  34,  36,  33,  33,  35,  32,  33,  35,  32,  33,  35,  32,  33,  35,  32,  32,  34,  32,  32,  34,  31,  32,  34,  32,  32,  33,  31,  31,  33,  30,  31,  33,  30,  31,  33,  30,  31,  32,  30,  30,  32,  29,  30,  32,  29,  30,  32,  29,  29,  31,  28,  29,  31,  28,  29,  31,  28,
   29,  30,  28,  28,  30,  27,  28,  30,  27,  28,  30,  27,  28,  29,  27,  27,  29,  26,  27,  29,  27,  27,  29,  26,  26,  28,  25,  26,  28,  25,  26,  28,  26,  26,  28,  25,  29,  40,  21,  26,  29,  24,  25,  27,  25,  25,  26,  24,  24,  26,  23,  25,  26,  24,  24,  26,  23,  24,  25,  23,  24,  25,  23,
   24,  25,  23,  23,  25,  22,  22,  24,  22,  23,  24,  22,  23,  24,  22,  22,  23,  21,  21,  23,  21,  22,  23,  21,  21,  23,  20,  21,  22,  20,  21,  22,  20,  21,  22,  20,  20,  21,  19,  20,  21,  19,  20,  21,  19,  20,  21,  19,  19,  20,  18,  19,  20,  18,  19,  20,  18,  18,  20,  18,  18,  19,  17,
   18,  19,  17,  18,  19,  17,  17,  18,  16,  20,  31,  14,  18,  23,  15,  16,  17,  16,  16,  18,  15,  16,  17,  15,  16,  17,  15,  16,  17,  14,  15,  16,  14,  15,  16,  14,  15,  16,  14,  14,  16,  13,  14,  15,  13,  14,  15,  13,  14,  15,  13,  13,  14,  12,  13,  14,  12,  13,  14,  12,  12,  14,  12,
   12,  13,  11,  12,  13,  11,  12,  13,  11,  11,  13,  10,  11,  12,  10,  11,  12,  10,  11,  12,  10,  10,  11,   9,  10,  11,   9,  10,  11,   9,  10,  11,   9,   9,  10,   8,   9,  10,   8,   9,  11,   8,   8,   8,   8,  12,  21,   6,  11,  18,   6,   7,   8,   7,   7,   9,   6,   7,   8,   6,   7,   8,   6,
    7,   8,   6,   6,   7,   5,   6,   7,   5,   6,   7,   5,   6,   7,   5,   5,   6,   4,   5,   6,   4,   5,   6,   4,   4,   6,   3,   4,   5,   3,   4,   5,   3,   4,   5,   3,   3,   4,   2,   3,   4,   2,   3,   4,   2,   3,   4,   2,   2,   3,   1,   2,   4,   1,   2,   2,   1,   2,   1,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 169, 169, 169, 184, 184, 184,  93,  93,  93,   0,   0,   0, 119, 119, 119, 196, 196, 196, 126, 126, 126,  32,  32,  32,  43,  43,  43, 144, 144, 144, 193, 193, 193, 181, 181, 181, 175, 175, 175, 178, 178, 178, 179, 179, 179, 181, 181, 181, 178, 178, 178, 197, 197, 197,  78,  78,  78,  73,  73,  73,
  198, 198, 198, 180, 180, 180, 187, 187, 187, 178, 178, 178,  37,  37,  37, 164, 164, 164, 192, 192, 192, 183, 183, 183, 203, 203, 203,  98,  98,  98,  61,  61,  61, 203, 203, 203, 187, 187, 187, 191, 191, 191, 191, 191, 191, 191, 191, 191, 188, 188, 188, 194, 194, 194, 210, 210, 210, 169, 169, 169,  58,  58,  58,
   28,  28,  28, 127, 127, 127, 218, 218, 218, 132, 132, 132,   0,   0,   0, 103, 103, 103, 210, 210, 210, 194, 194, 194, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  62,  69,  57,  66,  77,  60,  64,  74,  58,  65,  74,  58,
   64,  74,  58,  63,  73,  57,  64,  73,  57,  64,  74,  57,  63,  73,  57,  62,  72,  56,  63,  72,  56,  62,  72,  56,  62,  72,  55,  62,  72,  55,  62,  72,  55,  62,  72,  55,  61,  71,  55,  61,  71,  55,  61,  71,  55,  61,  71,  54,  60,  70,  54,  60,  70,  54,  60,  70,  54,  58,  75,  47,  59,  72,  50,
   60,  69,  54,  59,  69,  53,  58,  68,  52,  58,  68,  52,  58,  68,  52,  58,  68,  51,  57,  67,  51,  57,  67,  51,  57,  67,  51,  57,  67,  50,  56,  67,  50,  56,  67,  50,  56,  67,  50,  56,  66,  50,  56,  66,  50,  56,  66,  50,  56,  65,  49,  55,  65,  48,  55,  65,  49,  55,  65,  49,  55,  64,  48,
   54,  64,  47,  54,  64,  48,  54,  64,  48,  53,  63,  47,  53,  63,  47,  53,  63,  47,  53,  63,  47,  52,  62,  46,  52,  62,  46,  52,  61,  47,  51,  67,  41,  51,  67,  41,  51,  61,  45,  51,  62,  45,  51,  61,  44,  51,  61,  44,  51,  61,  44,  51,  60,  44,  50,  60,  43,  50,  60,  43,  50,  60,  43,
   49,  59,  43,  49,  59,  42,  49,  59,  42,  49,  59,  42,  48,  58,  42,  48,  58,  42,  48,  58,  42,  48,  58,  41,  47,  57,  41,  47,  57,  41,  47,  57,  41,  46,  57,  40,  46,  56,  40,  46,  56,  40,  46,  56,  40,  45,  55,  39,  45,  55,  39,  45,  55,  39,  45,  55,  39,  45,  54,  38,  45,  55,  38,
   45,  54,  39,  44,  58,  35,  44,  61,  33,  44,  53,  38,  44,  54,  37,  43,  53,  36,  43,  53,  36,  43,  53,  36,  42,  52,  36,  42,  52,  36,  42,  52,  36,  42,  52,  36,  41,  52,  35,  41,  51,  34,  41,  51,  35,  41,  51,  35,  40,  50,  34,  40,  50,  34,  40,  50,  34,  40,  50,  34,  40,  49,  33,
   40,  49,  33,  40,  49,  33,  39,  49,  32,  39,  48,  32,  39,  48,  32,  39,  48,  32,  38,  47,  31,  38,  47,  31,  38,  47,  31,  37,  47,  31,  37,  46,  30,  37,  46,  30,  37,  46,  30,  36,  48,  29,  37,  55,  25,  36,  46,  29,  36,  46,  29,  35,  45,  29,  35,  45,  29,  35,  45,  29,  35,  45,  29,
   34,  44,  28,  34,  44,  28,  34,  44,  28,  34,  44,  28,  33,  43,  27,  33,  43,  27,  34,  43,  27,  33,  42,  26,  32,  42,  26,  33,  42,  26,  32,  42,  26,  31,  41,  25,  31,  41,  25,  32,  41,  25,  31,  41,  25,  30,  40,  24,  30,  40,  24,  30,  40,  24,  30,  40,  24,  29,  40,  24,  30,  40,  24,
   29,  40,  23,  29,  39,  23,  29,  39,  23,  29,  39,  23,  29,  39,  22,  31,  49,  19,  29,  40,  21,  28,  38,  22,  28,  37,  21,  27,  37,  21,  27,  37,  21,  27,  37,  21,  26,  36,  20,  26,  36,  20,  26,  36,  20,  26,  36,  19,  25,  35,  19,  25,  35,  19,  25,  35,  19,  25,  35,  19,  24,  35,  18,
   24,  35,  19,  24,  35,  18,  24,  34,  17,  24,  34,  18,  24,  34,  18,  23,  33,  17,  23,  33,  16,  23,  33,  17,  23,  33,  16,  22,  32,  16,  22,  32,  15,  22,  32,  16,  22,  32,  15,  21,  31,  15,  21,  31,  14,  21,  31,  15,  21,  30,  14,  23,  41,  12,  21,  34,  13,  20,  29,  14,  19,  30,  13,
   19,  30,  13,  19,  30,  13,  19,  29,  13,  19,  29,  12,  19,  29,  12,  19,  29,  12,  18,  28,  12,  18,  28,  11,  18,  28,  11,  18,  28,  11,  17,  27,  11,  17,  27,  10,  17,  27,  10,  17,  26,  10,  16,  26,   9,  16,  26,   9,  16,  26,   9,  16,  25,   9,  15,  25,   8,  15,  25,   8,  15,  25,   8,
   14,  24,   8,  14,  24,   8,  14,  24,   8,  14,  24,   8,  14,  24,   7,  13,  23,   7,  14,  24,   7,  13,  22,   7,  16,  33,   5,  15,  30,   6,  12,  21,   6,  12,  22,   6,  12,  21,   5,  12,  22,   5,  12,  21,   5,  11,  21,   4,  11,  20,   4,  11,  21,   4,  11,  20,   4,  10,  19,   3,  10,  20,   3,
   10,  20,   3,   9,  19,   3,   9,  19,   3,   9,  19,   3,   9,  19,   3,   8,  18,   2,   8,  18,   2,   8,  18,   2,   8,  18,   2,   7,  17,   1,   8,  18,   1,   4,  10,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 171, 171, 171, 172, 172, 172, 170, 170, 170,  20,  20,  20,  23,  23,  23, 173, 173, 173, 172, 172, 172,
  185, 185, 185, 183, 183, 183, 101, 101, 101,  20,  20,  20,  67,  67,  67, 167, 167, 167, 193, 193, 193, 178, 178, 178, 177, 177, 177, 181, 181, 181, 180, 180, 180, 184, 184, 184, 174, 174, 174,  26,  26,  26, 150, 150, 150, 191, 191, 191, 185, 185, 185, 178, 178, 178,  37,  37,  37, 164, 164, 164, 191, 191, 191,
  191, 191, 191, 171, 171, 171,  25,  25,  25, 165, 165, 165, 195, 195, 195, 188, 188, 188, 191, 191, 191, 189, 189, 189, 189, 189, 189, 206, 206, 206, 189, 189, 189,  86,  86,  86,  20,  20,  20,  97,  97,  97, 196, 196, 196, 207, 207, 207, 194, 194, 194, 196, 196, 196,  30,  30,  30,  20,  20,  20, 193, 193, 193,
  199, 199, 199, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  63,  69,  69,  68,  66,  67,  66,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  60,  68,  54,  60,  65,  57,  61,  61,  62,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,
   53,  53,  53,  53,  54,  53,  53,  52,  54,  52,  59,  47,  51,  59,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  49,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  48,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  45,  44,  44,  44,  44,  44,  48,  41,  44,  52,  38,  43,  43,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  42,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  37,  36,  36,  36,  35,  35,  35,  35,  35,  36,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  33,  32,  32,  32,  32,  32,  33,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  30,  29,  29,  29,  28,  28,  28,  28,  28,  29,  28,  28,  29,  28,  27,  28,  27,  27,  27,  27,  27,  28,  27,  27,  27,  27,  26,  26,  26,  26,  27,  26,  26,  26,  26,  26,  27,  25,  28,  39,  21,  26,  27,  24,
   25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  25,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  24,  23,  23,  23,  22,  22,  22,  22,  22,  23,  22,  22,  23,  22,  21,  22,  21,  21,  21,  21,  21,  22,  21,  21,  21,  21,  20,  21,  20,  20,  21,  20,  20,  21,  20,  20,  20,  19,  19,  19,  19,
   19,  20,  19,  19,  20,  19,  18,  19,  18,  18,  19,  18,  18,  19,  18,  18,  18,  18,  17,  18,  17,  17,  18,  17,  17,  18,  17,  17,  16,  17,  20,  29,  14,  18,  21,  15,  16,  16,  16,  15,  16,  15,  15,  16,  15,  15,  16,  15,  15,  15,  15,  14,  15,  14,  14,  15,  14,  14,  15,  14,  14,  14,  13,
   13,  13,  13,  13,  14,  13,  13,  14,  13,  12,  13,  12,  12,  13,  12,  12,  13,  12,  12,  12,  12,  11,  12,  11,  11,  12,  11,  11,  12,  11,  11,  11,  11,  10,  10,  10,  10,  11,  10,  10,  11,  10,   9,  10,   9,   9,  10,   9,   9,  10,   9,   9,  10,   9,   8,   9,   8,   8,   9,   8,   8,   9,   8,
    7,   7,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   7,   6,   6,   7,   6,   6,   7,   6,   5,   6,   5,   5,   6,   5,   5,   6,   5,   5,   5,   5,   4,   5,   4,   4,   5,   4,   4,   5,   4,   4,   4,   3,   3,   3,   3,   3,   4,   3,   3,   3,   3,   2,   3,   2,   2,   3,   2,
    2,   3,   2,   2,   2,   2,   1,   2,   1,   1,   2,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 170, 170, 170, 181, 181, 181, 128, 128, 128,   0,   0,   0,  89,  89,  89, 187, 187, 187, 171, 171, 171, 173, 173, 173, 175, 175, 175, 191, 191, 191, 169, 169, 169,  72,  72,  72,  19,  19,  19,  96,  96,  96,
  183, 183, 183, 191, 191, 191, 178, 178, 178, 180, 180, 180, 179, 179, 179, 196, 196, 196, 107, 107, 107,  48,  48,  48, 194, 194, 194, 185, 185, 185, 178, 178, 178,  37,  37,  37, 164, 164, 164, 189, 189, 189, 201, 201, 201,  68,  68,  68,  88,  88,  88, 204, 204, 204, 186, 186, 186, 188, 188, 188, 187, 187, 187,
  201, 201, 201, 201, 201, 201, 117, 117, 117,  24,  24,  24,  66,  66,  66, 177, 177, 177, 211, 211, 211, 195, 195, 195, 191, 191, 191, 192, 192, 192, 210, 210, 210, 104, 104, 104,   0,   0,   0, 148, 148, 148, 208, 208, 208, 196, 196, 196, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  66,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  62,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  55,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  56,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  44,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  41,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   28,  28,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  22,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  15,   7,   6,   5,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  169, 169, 169, 183, 183, 183,  73,  73,  73,   0,   0,   0, 144, 144, 144, 181, 181, 181, 172, 172, 172, 175, 175, 175, 176, 176, 176, 173, 173, 173, 179, 179, 179, 193, 193, 193, 149, 149, 149,  47,  47,  47,  29,  29,  29, 126, 126, 126, 194, 194, 194, 188, 188, 188, 178, 178, 178, 181, 181, 181, 188, 188, 188,
   39,  39,  39, 123, 123, 123, 199, 199, 199, 175, 175, 175,  37,  37,  37, 161, 161, 161, 202, 202, 202, 145, 145, 145,  30,  30,  30, 185, 185, 185, 190, 190, 190, 185, 185, 185, 194, 194, 194, 207, 207, 207, 147, 147, 147,  39,  39,  39,  41,  41,  41, 150, 150, 150, 210, 210, 210, 199, 199, 199, 190, 190, 190,
  194, 194, 194, 194, 194, 194, 194, 194, 194, 204, 204, 204, 162, 162, 162,   0,   0,   0,  81,  81,  81, 210, 210, 210, 196, 196, 196, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 175, 175, 175,  28,  28,  28,  22,  22,  22, 175, 175, 175, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 176, 176, 176, 174, 174, 174, 185, 185, 185, 191, 191, 191, 123, 123, 123,  28,  28,  28,  49,  49,  49, 154, 154, 154, 198, 198, 198, 182, 182, 182, 190, 190, 190, 135, 135, 135,  32,  32,  32, 187, 187, 187, 179, 179, 179,  36,  36,  36, 162, 162, 162, 201, 201, 201,
   44,  44,  44, 118, 118, 118, 200, 200, 200, 186, 186, 186, 206, 206, 206, 171, 171, 171,  63,  63,  63,  25,  25,  25, 119, 119, 119, 202, 202, 202, 202, 202, 202, 190, 190, 190, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 199, 199, 199,  28,  28,  28,  26,  26,  26,
  198, 198, 198, 199, 199, 199, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 169, 169, 169, 176, 176, 176, 154, 154, 154,   0,   0,   0,  62,  62,  62, 184, 184, 184, 172, 172, 172, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 176, 176, 176, 176, 176, 176,
  190, 190, 190, 183, 183, 183,  96,  96,  96,  19,  19,  19,  76,  76,  76, 176, 176, 176, 194, 194, 194, 196, 196, 196,  56,  56,  56,  96,  96,  96, 194, 194, 194,  31,  31,  31, 177, 177, 177, 123, 123, 123,  42,  42,  42, 195, 195, 195, 201, 201, 201, 189, 189, 189,  92,  92,  92,  20,  20,  20,  88,  88,  88,
  189, 189, 189, 205, 205, 205, 190, 190, 190, 190, 190, 190, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 193, 193, 193, 209, 209, 209,  72,  72,  72,   0,   0,   0, 179, 179, 179, 203, 203, 203, 197, 197, 197, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 169, 169, 169,
  180, 180, 180, 132, 132, 132,   0,   0,   0,  99,  99,  99, 185, 185, 185, 171, 171, 171, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 176, 176, 176, 179, 179, 179, 196, 196, 196, 169, 169, 169,  67,  67,  67,  21,  21,  21, 105, 105, 105,
  196, 196, 196, 171, 171, 171,  24,  24,  24, 159, 159, 159,  45,  45,  45, 158, 158, 158,  32,  32,  32, 153, 153, 153, 209, 209, 209, 121, 121, 121,  26,  26,  26,  58,  58,  58, 167, 167, 167, 208, 208, 208, 192, 192, 192, 188, 188, 188, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 193, 193, 193, 210, 210, 210, 114, 114, 114,   0,   0,   0, 147, 147, 147, 209, 209, 209, 196, 196, 196, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 166, 166, 166, 180, 180, 180, 107, 107, 107,   0,   0,   0, 121, 121, 121, 181, 181, 181, 169, 169, 169, 171, 171, 171,
  172, 172, 172, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 175, 175, 175, 176, 176, 176, 175, 175, 175, 182, 182, 182, 195, 195, 195, 144, 144, 144,  40,  40,  40,  28,  28,  28, 149, 149, 149, 100, 100, 100,  56,  56,  56,  63,  63,  63,  60,  60,  60,  85,  85,  85,
  163, 163, 163,  38,  38,  38,  33,  33,  33, 137, 137, 137, 202, 202, 202, 192, 192, 192, 184, 184, 184, 188, 188, 188, 188, 188, 188, 189, 189, 189, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 191, 191, 191, 193, 193, 193, 191, 191, 191, 204, 204, 204, 142, 142, 142,   0,   0,   0,
  119, 119, 119, 208, 208, 208, 193, 193, 193, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 170, 170, 170, 179, 179, 179, 199, 199, 199,  98,  98,  98,   0,   0,   0, 151, 151, 151, 195, 195, 195, 186, 186, 186, 188, 188, 188, 189, 189, 189, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192,
  192, 192, 192, 194, 194, 194, 195, 195, 195, 195, 195, 195, 193, 193, 193, 205, 205, 205, 208, 208, 208, 133, 133, 133,  40,  40,  40,  66,  66,  66,  22,  22,  22,   6,   6,   6,  16,  16,  16,  67,  67,  67,  39,  39,  39, 123, 123, 123, 211, 211, 211, 214, 214, 214, 201, 201, 201, 203, 203, 203, 206, 206, 206,
  206, 206, 206, 206, 206, 206, 207, 207, 207, 208, 208, 208, 209, 209, 209, 209, 209, 209, 209, 209, 209, 210, 210, 210, 210, 210, 210, 211, 211, 211, 209, 209, 209, 221, 221, 221, 169, 169, 169,   0,   0,   0, 114, 114, 114, 230, 230, 230, 210, 210, 210, 200, 200, 200, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 168, 168, 168, 107, 107, 107,
  102, 102, 102,  49,  49,  49,   0,   0,   0,  81,  81,  81, 102, 102, 102,  98,  98,  98,  99,  99,  99,  99,  99,  99, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 101, 101, 101, 101, 101, 101, 101, 101, 101, 102, 102, 102, 102, 102, 102, 103, 103, 103, 103, 103, 103, 101, 101, 101, 100, 100, 100,
  114, 114, 114, 109, 109, 109,  28,  28,  28,   1,   1,   1,   2,   2,   2,   1,   1,   1,  20,  20,  20, 104, 104, 104, 119, 119, 119, 105, 105, 105, 105, 105, 105, 107, 107, 107, 107, 107, 107, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 109, 109, 109, 110, 110, 110, 110, 110, 110, 110, 110, 110,
  110, 110, 110, 110, 110, 110, 111, 111, 111, 110, 110, 110, 115, 115, 115,  94,  94,  94,   0,   0,   0,  54,  54,  54, 120, 120, 120, 117, 117, 117, 191, 191, 191, 201, 201, 201, 200, 200, 200, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 167, 167, 167,  79,  79,  79,  66,  66,  66,  31,  31,  31,   0,   0,   0,  56,  56,  56,  68,  68,  68,  65,  65,  65,  66,  66,  66,
   66,  66,  66,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  68,  68,  68,  68,  68,  68,  68,  68,  68,  69,  69,  69,  69,  69,  69,  68,  68,  68,  66,  66,  66,  72,  72,  72,  80,  80,  80,  44,  44,  44,   4,   4,   4,   0,   0,   0,   0,   0,   0,   0,   0,   0,   3,   3,   3,
   42,  42,  42,  81,  81,  81,  76,  76,  76,  68,  68,  68,  71,  71,  71,  72,  72,  72,  72,  72,  72,  72,  72,  72,  72,  72,  72,  73,  73,  73,  73,  73,  73,  73,  73,  73,  74,  74,  74,  74,  74,  74,  74,  74,  74,  74,  74,  74,  74,  74,  74,  74,  74,  74,  77,  77,  77,  64,  64,  64,   0,   0,   0,
   36,  36,  36,  79,  79,  79,  83,  83,  83, 188, 188, 188, 202, 202, 202, 200, 200, 200, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 169, 169, 169, 170, 170, 170, 180, 180, 180, 199, 199, 199,  96,  96,  96,   0,   0,   0, 153, 153, 153, 195, 195, 195, 186, 186, 186, 188, 188, 188, 189, 189, 189, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192,
  192, 192, 192, 194, 194, 194, 195, 195, 195, 193, 193, 193, 197, 197, 197, 209, 209, 209, 186, 186, 186,  99,  99,  99,  11,  11,  11,   0,   0,   0,  61,  61,  61, 135, 135, 135,  68,  68,  68,   0,   0,   0,   8,   8,   8,  92,  92,  92, 186, 186, 186, 217, 217, 217, 207, 207, 207, 201, 201, 201, 205, 205, 205,
  206, 206, 206, 206, 206, 206, 207, 207, 207, 208, 208, 208, 209, 209, 209, 209, 209, 209, 209, 209, 209, 210, 210, 210, 210, 210, 210, 211, 211, 211, 210, 210, 210, 221, 221, 221, 174, 174, 174,   0,   0,   0, 109, 109, 109, 230, 230, 230, 210, 210, 210, 200, 200, 200, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 165, 165, 165,
  181, 181, 181,  99,  99,  99,   0,   0,   0, 128, 128, 128, 179, 179, 179, 169, 169, 169, 171, 171, 171, 172, 172, 172, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 175, 175, 175, 175, 175, 175, 175, 175, 175, 174, 174, 174, 177, 177, 177, 190, 190, 190, 178, 178, 178, 101, 101, 101,  12,  12,  12,
    0,   0,   0,  37,  37,  37, 138, 138, 138, 193, 193, 193, 193, 193, 193, 196, 196, 196, 147, 147, 147,  46,  46,  46,   0,   0,   0,   7,   7,   7,  91,  91,  91, 178, 178, 178, 200, 200, 200, 188, 188, 188, 185, 185, 185, 188, 188, 188, 189, 189, 189, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191,
  192, 192, 192, 191, 191, 191, 193, 193, 193, 191, 191, 191, 203, 203, 203, 148, 148, 148,   0,   0,   0, 112, 112, 112, 209, 209, 209, 192, 192, 192, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 168, 168, 168, 181, 181, 181, 123, 123, 123,   0,   0,   0, 108, 108, 108, 185, 185, 185, 171, 171, 171, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 177, 177, 177, 176, 176, 176, 188, 188, 188, 187, 187, 187, 124, 124, 124,  26,  26,  26,   0,   0,   0,  24,  24,  24, 120, 120, 120, 189, 189, 189, 194, 194, 194, 182, 182, 182, 183, 183, 183, 184, 184, 184, 196, 196, 196,
  195, 195, 195, 135, 135, 135,  35,  35,  35,   0,   0,   0,  17,  17,  17, 112, 112, 112, 191, 191, 191, 203, 203, 203, 190, 190, 190, 189, 189, 189, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 193, 193, 193, 209, 209, 209, 125, 125, 125,   0,   0,   0,
  137, 137, 137, 210, 210, 210, 196, 196, 196, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 169, 169, 169, 178, 178, 178, 146, 146, 146,   0,   0,   0,  79,  79,  79, 185, 185, 185, 171, 171, 171, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 176, 176, 176, 175, 175, 175, 184, 184, 184,
  189, 189, 189, 140, 140, 140,  42,  42,  42,   0,   0,   0,  12,  12,  12, 100, 100, 100, 180, 180, 180, 195, 195, 195, 183, 183, 183, 182, 182, 182, 184, 184, 184, 185, 185, 185, 186, 186, 186, 185, 185, 185, 185, 185, 185, 199, 199, 199, 192, 192, 192, 119, 119, 119,  22,  22,  22,   0,   0,   0,  29,  29,  29,
  130, 130, 130, 197, 197, 197, 201, 201, 201, 190, 190, 190, 191, 191, 191, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 193, 193, 193, 210, 210, 210,  85,  85,  85,   0,   0,   0, 170, 170, 170, 205, 205, 205, 197, 197, 197, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  173, 173, 173, 167, 167, 167,  13,  13,  13,  38,  38,  38, 179, 179, 179, 173, 173, 173, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 174, 174, 174, 180, 180, 180, 190, 190, 190, 155, 155, 155,  61,  61,  61,   0,   0,   0,   3,   3,   3,  78,  78,  78, 169, 169, 169, 195, 195, 195, 183, 183, 183,
  180, 180, 180, 183, 183, 183, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 185, 185, 185, 188, 188, 188, 201, 201, 201, 185, 185, 185, 102, 102, 102,  12,  12,  12,   0,   0,   0,  43,  43,  43, 146, 146, 146, 203, 203, 203, 201, 201, 201, 191, 191, 191, 193, 193, 193,
  195, 195, 195, 194, 194, 194, 195, 195, 195, 195, 195, 195, 204, 204, 204,  45,  45,  45,  13,  13,  13, 192, 192, 192, 200, 200, 200, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 170, 170, 170, 182, 182, 182,  56,  56,  56,   0,   0,   0, 159, 159, 159, 178, 178, 178, 173, 173, 173,
  175, 175, 175, 174, 174, 174, 177, 177, 177, 189, 189, 189, 167, 167, 167,  81,  81,  81,   4,   4,   4,   0,   0,   0,  57,  57,  57, 154, 154, 154, 194, 194, 194, 185, 185, 185, 179, 179, 179, 181, 181, 181, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 188, 188, 188, 185, 185, 185, 191, 191, 191, 203, 203, 203, 177, 177, 177,  85,  85,  85,   4,   4,   4,   0,   0,   0,  59,  59,  59, 162, 162, 162, 207, 207, 207, 199, 199, 199, 191, 191, 191, 193, 193, 193, 194, 194, 194, 201, 201, 201, 178, 178, 178,   0,   0,   0,  62,  62,  62,
  207, 207, 207, 196, 196, 196, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 169, 169, 169, 182, 182, 182, 108, 108, 108,   0,   0,   0, 112, 112, 112, 185, 185, 185, 169, 169, 169, 174, 174, 174, 187, 187, 187, 176, 176, 176, 101, 101, 101,  13,  13,  13,   0,   0,   0,  38,  38,  38,
  136, 136, 136, 189, 189, 189, 187, 187, 187, 178, 178, 178, 180, 180, 180, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 188, 188, 188, 186, 186, 186, 194, 194, 194,
  204, 204, 204, 166, 166, 166,  66,  66,  66,   0,   0,   0,   2,   2,   2,  77,  77,  77, 175, 175, 175, 208, 208, 208, 197, 197, 197, 189, 189, 189, 209, 209, 209, 127, 127, 127,   0,   0,   0, 127, 127, 127, 210, 210, 210, 196, 196, 196, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  171, 171, 171, 175, 175, 175, 159, 159, 159,   3,   3,   3,  46,  46,  46, 182, 182, 182, 181, 181, 181, 181, 181, 181, 120, 120, 120,  26,  26,  26,   0,   0,   0,  22,  22,  22, 117, 117, 117, 183, 183, 183, 187, 187, 187, 177, 177, 177, 179, 179, 179, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 189, 189, 189, 188, 188, 188, 197, 197, 197, 203, 203, 203, 152, 152, 152,  47,  47,  47,   0,   0,   0,   9,   9,   9,
   96,  96,  96, 185, 185, 185, 207, 207, 207, 207, 207, 207,  53,  53,  53,   0,   0,   0, 179, 179, 179, 202, 202, 202, 197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 169, 169, 169, 183, 183, 183,  65,  65,  65,   0,   0,   0, 143, 143, 143, 145, 145, 145,
   40,  40,  40,   0,   0,   0,  10,  10,  10,  96,  96,  96, 175, 175, 175, 189, 189, 189, 177, 177, 177, 176, 176, 176, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 189, 189, 189, 189, 189, 189, 202, 202, 202, 201, 201, 201, 134, 134, 134,  29,  29,  29,   0,   0,   0,  16,  16,  16, 124, 124, 124, 150, 150, 150,   0,   0,   0,  72,  72,  72, 208, 208, 208,
  195, 195, 195, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 170, 170, 170, 178, 178, 178, 138, 138, 138,   1,   1,   1,  19,  19,  19,   6,   6,   6,   0,   0,   0,  74,  74,  74, 163, 163, 163, 190, 190, 190, 178, 178, 178, 175, 175, 175, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 190, 190, 190, 192, 192, 192, 206, 206, 206, 194, 194, 194, 111, 111, 111,  14,  14,  14,   0,   0,   0,   8,   8,   8,   3,   3,   3, 159, 159, 159, 203, 203, 203, 195, 195, 195, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 170, 170, 170, 178, 178, 178, 186, 186, 186,  40,  40,  40,   0,   0,   0,  53,  53,  53, 147, 147, 147, 188, 188, 188, 180, 180, 180, 174, 174, 174, 176, 176, 176, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 191, 191, 191, 195, 195, 195,
  208, 208, 208, 182, 182, 182,  87,  87,  87,   0,   0,   0,  37,  37,  37, 206, 206, 206, 206, 206, 206, 195, 195, 195, 199, 199, 199, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 171, 171, 171, 176, 176, 176, 146, 146, 146,  40,  40,  40,  40,  40,  40, 127, 127, 127, 184, 184, 184,
  182, 182, 182, 173, 173, 173, 175, 175, 175, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 193, 193, 193, 191, 191, 191, 198, 198, 198, 209, 209, 209, 164, 164, 164,  57,  57,  57,  34,  34,  34, 153, 153, 153,
  203, 203, 203, 197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 165, 165, 165, 165, 165, 165, 165, 165, 165,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 168, 168, 168, 169, 169, 169, 169, 169, 169, 170, 170, 170, 170, 170, 170, 179, 179, 179, 122, 122, 122,  94,  94,  94, 179, 179, 179, 183, 183, 183, 172, 172, 172, 173, 173, 173, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 193, 193, 193, 191, 191, 191, 203, 203, 203, 207, 207, 207, 118, 118, 118, 127, 127, 127, 206, 206, 206, 196, 196, 196, 197, 197, 197, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  200, 200, 200, 198, 198, 198, 200, 200, 200, 200, 200, 200, 197, 197, 197, 198, 198, 198, 197, 197, 197, 193, 193, 193, 195, 195, 195, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 161, 161, 161, 161, 161, 161, 166, 166, 166, 168, 168, 168, 167, 167, 167, 164, 164, 164, 168, 168, 168, 169, 169, 169, 166, 166, 166, 167, 167, 167, 166, 166, 166, 168, 168, 168, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  170, 170, 170, 172, 172, 172, 182, 182, 182, 185, 185, 185, 173, 173, 173, 175, 175, 175, 175, 175, 175, 174, 174, 174, 179, 179, 179, 178, 178, 178, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 198, 198, 198, 198, 198, 198, 199, 199, 199, 215, 215, 215, 207, 207, 207, 195, 195, 195, 201, 201, 201, 202, 202, 202, 199, 199, 199, 199, 199, 199, 199, 199, 199, 204, 204, 204, 206, 206, 206, 204, 204, 204, 201, 201, 201, 200, 200, 200, 202, 202, 202, 203, 203, 203, 202, 202, 202,
  199, 199, 199, 198, 198, 198, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 160, 160, 160, 163, 163, 163,
  165, 165, 165, 149, 149, 149, 149, 149, 149, 154, 154, 154, 172, 172, 172, 159, 159, 159, 156, 156, 156, 167, 167, 167, 166, 166, 166, 170, 170, 170, 171, 171, 171, 156, 156, 156, 155, 155, 155, 161, 161, 161, 179, 179, 179, 164, 164, 164, 160, 160, 160, 172, 172, 172, 169, 169, 169, 161, 161, 161, 171, 171, 171,
  176, 176, 176, 165, 165, 165, 171, 171, 171, 178, 178, 178, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 184, 184, 184, 180, 180, 180, 180, 180, 180, 178, 178, 178, 192, 192, 192,
  199, 199, 199, 188, 188, 188, 183, 183, 183, 198, 198, 198, 199, 199, 199, 207, 207, 207, 192, 192, 192, 183, 183, 183, 181, 181, 181, 202, 202, 202, 203, 203, 203, 181, 181, 181, 184, 184, 184, 184, 184, 184, 178, 178, 178, 188, 188, 188, 193, 193, 193, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 160, 160, 160, 165, 165, 165,  66,  66,  66,   5,   5,   5,  21,  21,  21,   0,   0,   0,  95,  95,  95,  74,  74,  74,  35,  35,  35,
  173, 173, 173, 166, 166, 166, 166, 166, 166,  57,  57,  57,   5,   5,   5,  17,  17,  17,   5,   5,   5, 123, 123, 123, 114, 114, 114,  17,  17,  17, 181, 181, 181,  95,  95,  95,   0,   0,   0, 103, 103, 103, 178, 178, 178,  21,  21,  21, 136, 136, 136, 185, 185, 185, 175, 175, 175, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 194, 194, 194,  43,  43,  43,   7,   7,   7,  17,  17,  17,  13,  13,  13, 164, 164, 164, 199, 199, 199,  36,  36,  36,   0,   0,   0, 130, 130, 130, 219, 219, 219, 147, 147, 147,  15,  15,  15,
   22,  22,  22,   7,   7,   7,  41,  41,  41, 152, 152, 152,  15,  15,  15,  13,  13,  13,  16,  16,  16,   1,   1,   1,  98,  98,  98, 205, 205, 205, 186, 186, 186, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 159, 159, 159, 164, 164, 164, 154, 154, 154,   0,   0,   0,  87,  87,  87, 181, 181, 181,  73,  73,  73,  67,  67,  67,  63,  63,  63,  27,  27,  27, 172, 172, 172, 173, 173, 173, 138, 138, 138,   0,   0,   0,  98,  98,  98, 163, 163, 163,  32,  32,  32,
   40,  40,  40, 142, 142, 142,   0,   0,   0, 160, 160, 160,  61,  61,  61,   0,   0,   0,  65,  65,  65, 152, 152, 152,  10,  10,  10, 161, 161, 161, 181, 181, 181, 176, 176, 176, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  195, 195, 195, 197, 197, 197,  19,  19,  19,  71,  71,  71, 202, 202, 202, 181, 181, 181, 202, 202, 202, 151, 151, 151,  23,  23,  23,  42,  42,  42,  58,  58,  58, 228, 228, 228,  75,  75,  75,  20,  20,  20, 208, 208, 208, 163, 163, 163,  36,  36,  36, 153, 153, 153, 186, 186, 186,  74,  74,  74,  14,  14,  14,
  159, 159, 159, 179, 179, 179, 194, 194, 194, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 159, 159, 159, 163, 163, 163, 154, 154, 154,
    9,   9,   9,  34,  34,  34,  73,  73,  73,  71,  71,  71, 154, 154, 154,  64,  64,  64,  27,  27,  27, 172, 172, 172, 172, 172, 172, 138, 138, 138,   0,   0,   0, 126, 126, 126, 196, 196, 196,  52,  52,  52,  34,  34,  34, 170, 170, 170,   9,   9,   9, 120, 120, 120,  42,  42,  42,  68,  68,  68,  40,  40,  40,
  114, 114, 114,  29,  29,  29, 181, 181, 181, 176, 176, 176, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196,  26,  26,  26,  43,  43,  43, 123, 123, 123, 122, 122, 122, 212, 212, 212,
   92,  92,  92,  60,  60,  60, 143, 143, 143,   5,   5,   5, 208, 208, 208,  88,  88,  88,   0,   0,   0,  87,  87,  87,  82,  82,  82, 131, 131, 131, 202, 202, 202, 221, 221, 221,  95,  95,  95,  18,  18,  18, 203, 203, 203, 200, 200, 200, 191, 191, 191, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 160, 160, 160, 167, 167, 167, 115, 115, 115,  53,  53,  53,  56,  56,  56,   7,   7,   7,  54,  54,  54,  65,  65,  65,  27,  27,  27,
  175, 175, 175, 175, 175, 175, 139, 139, 139,   0,   0,   0, 122, 122, 122, 190, 190, 190,  50,  50,  50,  31,  31,  31, 185, 185, 185,  32,  32,  32,  66,  66,  66,  37,  37,  37, 131, 131, 131,  28,  28,  28,  65,  65,  65,  60,  60,  60, 189, 189, 189, 174, 174, 174, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 195,  30,  30,  30,  13,  13,  13,  47,  47,  47,  62,  62,  62, 202, 202, 202,  44,  44,  44,  52,  52,  52, 117, 117, 117,   0,   0,   0, 156, 156, 156, 194, 194, 194,  83,  83,  83,
   65,  65,  65,  47,  47,  47,   0,   0,   0, 158, 158, 158, 220, 220, 220,  89,  89,  89,  17,  17,  17, 193, 193, 193, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 159, 159, 159, 164, 164, 164, 151, 151, 151,  50,  50,  50, 128, 128, 128, 197, 197, 197,  56,  56,  56,  38,  38,  38,  65,  65,  65,  25,  25,  25, 164, 164, 164, 165, 165, 165, 137, 137, 137,   0,   0,   0, 115, 115, 115, 187, 187, 187,  43,  43,  43,
   28,  28,  28, 191, 191, 191,  62,  62,  62,   1,   1,   1,  49,  49,  49, 173, 173, 173,  29,  29,  29,   7,   7,   7,  98,  98,  98, 189, 189, 189, 174, 174, 174, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  195, 195, 195, 197, 197, 197,  19,  19,  19,  80,  80,  80, 224, 224, 224, 209, 209, 209, 180, 180, 180,  13,  13,  13,  31,  31,  31,  45,  45,  45,   0,   0,   0, 110, 110, 110, 121, 121, 121,  89,  89,  89, 232, 232, 232, 169, 169, 169,   0,   0,   0, 150, 150, 150, 224, 224, 224,  89,  89,  89,  17,  17,  17,
  195, 195, 195, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 159, 159, 159, 162, 162, 162, 159, 159, 159,
   33,  33,  33,   4,   4,   4,  28,  28,  28,   0,   0,   0,  88,  88,  88,  74,  74,  74,   0,   0,   0,  17,  17,  17,  16,  16,  16, 133, 133, 133,  42,  42,  42,   6,   6,   6,  29,  29,  29,   0,   0,   0,  89,  89,  89, 191, 191, 191,  98,  98,  98,   0,   0,   0,  77,  77,  77, 194, 194, 194,  52,  52,  52,
    0,   0,   0, 133, 133, 133, 186, 186, 186, 175, 175, 175, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 197, 197, 197,  19,  19,  19,  74,  74,  74, 206, 206, 206, 205, 205, 205, 130, 130, 130,
    4,   4,   4, 187, 187, 187, 222, 222, 222,  60,  60,  60,  48,  48,  48, 124, 124, 124,   0,   0,   0,  31,  31,  31,  14,  14,  14,  28,  28,  28, 181, 181, 181, 217, 217, 217,  90,  90,  90,  17,  17,  17, 195, 195, 195, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  66,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  60,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  44,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  41,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  35,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  14,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   6,   5,   7,   6,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 160, 160, 160, 165, 165, 165, 159, 159, 159, 127, 127, 127, 125, 125, 125, 132, 132, 132, 169, 169, 169, 148, 148, 148, 130, 130, 130,
  131, 131, 131, 130, 130, 130, 165, 165, 165, 164, 164, 164, 131, 131, 131, 130, 130, 130, 141, 141, 141, 176, 176, 176, 174, 174, 174, 164, 164, 164, 136, 136, 136, 160, 160, 160, 179, 179, 179, 156, 156, 156, 139, 139, 139, 171, 171, 171, 178, 178, 178, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 162, 162, 162, 173, 173, 173, 198, 198, 198, 199, 199, 199, 177, 177, 177, 164, 164, 164, 199, 199, 199, 201, 201, 201, 182, 182, 182, 161, 161, 161, 207, 207, 207, 171, 171, 171,
  154, 154, 154, 152, 152, 152, 187, 187, 187, 206, 206, 206, 200, 200, 200, 179, 179, 179, 164, 164, 164, 195, 195, 195, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  62,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  63,  60,  68,  54,  60,  65,  57,  61,  61,  62,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  47,  51,  59,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  27,  25,  28,  38,  22,  26,  27,  24,  25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   9,   8,   8,   8,   8,   8,   9,   8,   7,   7,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 161, 161, 161, 163, 163, 163, 171, 171, 171, 172, 172, 172, 172, 172, 172, 164, 164, 164, 170, 170, 170, 174, 174, 174, 174, 174, 174, 175, 175, 175, 168, 168, 168, 169, 169, 169, 178, 178, 178, 178, 178, 178, 177, 177, 177,
  171, 171, 171, 171, 171, 171, 174, 174, 174, 181, 181, 181, 176, 176, 176, 173, 173, 173, 178, 178, 178, 183, 183, 183, 177, 177, 177, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 203, 203, 203, 201, 201, 201, 196, 196, 196, 196, 196, 196, 201, 201, 201, 204, 204, 204, 198, 198, 198, 197, 197, 197, 202, 202, 202, 208, 208, 208, 200, 200, 200, 208, 208, 208, 212, 212, 212, 210, 210, 210, 204, 204, 204, 199, 199, 199, 197, 197, 197, 203, 203, 203, 206, 206, 206,
  194, 194, 194, 195, 195, 195, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  62,  69,  57,  66,  77,  59,  64,  74,  58,  65,  74,  58,
   64,  74,  58,  64,  73,  57,  64,  73,  57,  64,  73,  57,  63,  73,  56,  62,  72,  56,  63,  73,  56,  63,  73,  56,  62,  72,  55,  62,  72,  55,  62,  72,  55,  62,  72,  55,  61,  71,  55,  61,  71,  55,  61,  71,  55,  61,  71,  54,  60,  70,  54,  60,  70,  54,  60,  69,  55,  58,  75,  47,  58,  72,  50,
   59,  68,  54,  59,  69,  53,  58,  68,  52,  58,  68,  52,  59,  68,  52,  58,  68,  51,  57,  67,  51,  57,  67,  51,  57,  67,  51,  57,  67,  50,  57,  67,  50,  57,  67,  50,  56,  67,  50,  56,  66,  49,  56,  66,  49,  56,  66,  50,  56,  66,  49,  55,  65,  49,  55,  65,  49,  55,  65,  49,  55,  64,  48,
   54,  64,  48,  54,  64,  48,  54,  64,  48,  53,  63,  47,  53,  63,  47,  53,  63,  47,  53,  63,  47,  52,  62,  46,  52,  62,  46,  52,  61,  47,  51,  67,  41,  51,  67,  41,  51,  61,  45,  51,  62,  45,  51,  61,  44,  51,  61,  44,  51,  61,  44,  51,  60,  44,  50,  60,  43,  50,  60,  44,  50,  60,  44,
   49,  59,  43,  49,  59,  42,  49,  59,  43,  49,  59,  43,  48,  58,  42,  48,  58,  41,  48,  58,  42,  48,  58,  41,  47,  57,  40,  47,  57,  40,  47,  57,  41,  46,  57,  40,  46,  56,  40,  46,  56,  40,  46,  56,  40,  45,  56,  39,  45,  55,  39,  45,  56,  39,  45,  55,  39,  45,  54,  38,  45,  55,  38,
   45,  54,  39,  44,  58,  35,  44,  61,  33,  44,  53,  38,  44,  54,  37,  43,  53,  36,  43,  53,  36,  43,  53,  36,  42,  52,  36,  42,  52,  35,  42,  52,  35,  42,  52,  35,  41,  51,  35,  41,  51,  34,  41,  51,  34,  41,  51,  34,  40,  50,  34,  40,  50,  34,  40,  50,  34,  40,  50,  34,  39,  49,  33,
   39,  49,  33,  39,  49,  33,  39,  49,  32,  39,  48,  32,  39,  48,  32,  38,  48,  32,  38,  47,  31,  38,  47,  31,  38,  47,  31,  37,  47,  31,  37,  46,  30,  37,  46,  30,  37,  46,  31,  36,  48,  29,  37,  55,  25,  36,  45,  29,  36,  45,  29,  35,  45,  29,  35,  45,  29,  35,  45,  29,  35,  45,  29,
   34,  44,  28,  34,  44,  28,  34,  44,  28,  34,  44,  27,  33,  43,  27,  33,  43,  27,  33,  43,  27,  33,  43,  26,  32,  42,  26,  32,  42,  26,  32,  42,  26,  31,  41,  25,  31,  41,  25,  32,  41,  25,  31,  41,  25,  30,  40,  24,  30,  40,  24,  30,  40,  24,  30,  40,  24,  29,  40,  24,  29,  40,  24,
   29,  40,  23,  29,  39,  23,  29,  39,  23,  29,  39,  23,  29,  39,  22,  31,  49,  19,  29,  40,  21,  28,  38,  22,  28,  38,  21,  27,  37,  21,  27,  37,  21,  27,  37,  21,  26,  36,  20,  26,  36,  20,  26,  36,  20,  26,  36,  19,  25,  35,  19,  25,  35,  19,  25,  35,  19,  25,  35,  19,  24,  35,  19,
   24,  35,  19,  24,  34,  18,  24,  34,  18,  24,  34,  18,  24,  34,  18,  23,  33,  17,  23,  33,  16,  23,  33,  17,  23,  33,  17,  22,  32,  16,  22,  32,  16,  22,  32,  16,  22,  32,  15,  21,  31,  15,  21,  31,  15,  21,  31,  15,  21,  30,  14,  23,  41,  12,  21,  34,  13,  20,  29,  14,  19,  30,  13,
   19,  30,  13,  19,  30,  13,  19,  29,  13,  19,  29,  12,  19,  29,  12,  19,  29,  12,  18,  28,  12,  18,  27,  11,  18,  28,  11,  18,  28,  11,  17,  27,  11,  17,  27,  10,  17,  27,  11,  17,  26,  10,  16,  26,   9,  16,  26,   9,  16,  26,   9,  16,  25,   9,  15,  25,   9,  15,  25,   9,  15,  25,   9,
   14,  24,   8,  14,  24,   8,  14,  24,   8,  14,  24,   8,  14,  24,   7,  14,  23,   7,  14,  24,   7,  13,  22,   7,  16,  33,   5,  15,  30,   6,  12,  21,   6,  12,  22,   6,  12,  21,   5,  12,  21,   5,  12,  21,   5,  11,  21,   4,  11,  21,   4,  11,  21,   4,  10,  20,   4,  10,  20,   3,  10,  20,   3,
   10,  20,   3,   9,  19,   3,   9,  19,   3,   9,  19,   3,   9,  19,   3,   8,  18,   2,   8,  18,   2,   8,  18,   2,   8,  18,   2,   7,  17,   1,   8,  18,   1,   4,   9,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  161, 161, 161, 161, 161, 161, 162, 162, 162, 163, 163, 163, 165, 165, 165, 165, 165, 165, 164, 164, 164, 165, 165, 165, 165, 165, 165, 167, 167, 167, 168, 168, 168, 168, 168, 168, 168, 168, 168, 169, 169, 169, 172, 172, 172, 171, 171, 171, 172, 172, 172, 171, 171, 171, 172, 172, 172, 174, 174, 174, 173, 173, 173,
  173, 173, 173, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 197, 197, 197, 196, 196, 196,
  195, 195, 195, 198, 198, 198, 199, 199, 199, 198, 198, 198, 198, 198, 198, 200, 200, 200, 200, 200, 200, 199, 199, 199, 197, 197, 197, 200, 200, 200, 200, 200, 200, 198, 198, 198, 198, 198, 198, 197, 197, 197, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  63,  65,  63,  68,  70,  67,  66,  68,  65,  67,  68,  66,  66,  68,  65,  65,  67,  64,  66,  67,  64,  66,  67,  65,  65,  67,  64,  64,  66,  63,  65,  66,  63,
   64,  66,  63,  64,  65,  63,  64,  65,  62,  64,  65,  62,  64,  65,  62,  63,  64,  62,  63,  64,  62,  63,  64,  62,  62,  64,  61,  62,  63,  61,  62,  64,  60,  62,  63,  61,  59,  69,  53,  60,  66,  56,  61,  62,  60,  60,  62,  59,  60,  61,  59,  60,  61,  59,  60,  61,  59,  59,  61,  58,  59,  60,  58,
   59,  60,  58,  59,  60,  58,  58,  60,  57,  58,  60,  57,  58,  60,  57,  58,  59,  56,  57,  58,  56,  57,  59,  56,  57,  59,  56,  56,  58,  55,  56,  57,  55,  56,  58,  55,  56,  58,  55,  55,  57,  54,  55,  56,  54,  55,  57,  54,  55,  57,  54,  54,  56,  53,  54,  56,  53,  54,  56,  53,  54,  55,  52,
   53,  55,  52,  53,  55,  52,  53,  54,  53,  52,  60,  47,  51,  60,  46,  52,  53,  52,  52,  54,  51,  51,  53,  50,  51,  53,  50,  51,  53,  50,  51,  52,  49,  50,  52,  49,  50,  52,  49,  50,  52,  49,  49,  51,  48,  49,  51,  48,  49,  51,  48,  49,  51,  48,  48,  50,  47,  48,  50,  47,  48,  50,  47,
   48,  49,  47,  47,  49,  46,  47,  49,  46,  47,  49,  46,  46,  48,  45,  46,  48,  45,  46,  48,  45,  46,  48,  45,  45,  47,  44,  45,  47,  44,  45,  47,  44,  45,  47,  44,  44,  46,  43,  44,  46,  43,  44,  45,  43,  44,  50,  40,  44,  54,  37,  43,  44,  43,  43,  45,  42,  42,  44,  41,  42,  44,  41,
   42,  44,  41,  42,  43,  41,  41,  43,  40,  41,  43,  40,  41,  43,  40,  41,  42,  40,  40,  42,  39,  40,  42,  39,  40,  42,  39,  39,  41,  38,  39,  41,  38,  39,  41,  38,  39,  41,  38,  38,  40,  37,  38,  40,  37,  38,  40,  37,  38,  39,  36,  37,  39,  36,  37,  39,  36,  37,  39,  36,  36,  38,  35,
   36,  38,  35,  36,  38,  35,  36,  38,  35,  35,  37,  34,  35,  37,  34,  35,  37,  34,  35,  39,  32,  36,  47,  29,  34,  36,  33,  34,  36,  33,  33,  35,  32,  33,  35,  32,  33,  35,  32,  33,  35,  32,  32,  34,  31,  32,  34,  31,  32,  34,  31,  32,  34,  31,  31,  33,  30,  31,  33,  30,  32,  33,  30,
   31,  32,  30,  30,  32,  29,  31,  32,  29,  30,  32,  29,  29,  31,  28,  29,  31,  28,  30,  31,  28,  29,  31,  28,  28,  30,  27,  28,  30,  27,  28,  30,  27,  28,  29,  27,  27,  29,  26,  28,  29,  26,  27,  29,  26,  26,  28,  25,  26,  28,  25,  26,  28,  26,  26,  28,  25,  29,  40,  21,  26,  29,  24,
   25,  27,  25,  25,  27,  24,  25,  26,  23,  25,  26,  23,  24,  26,  23,  24,  25,  23,  24,  25,  23,  24,  25,  23,  23,  25,  22,  23,  24,  21,  23,  24,  22,  23,  24,  22,  22,  24,  21,  22,  23,  20,  22,  23,  21,  21,  23,  20,  21,  22,  20,  21,  22,  20,  21,  22,  20,  20,  22,  19,  20,  21,  18,
   20,  21,  19,  20,  21,  19,  19,  21,  18,  19,  20,  18,  19,  21,  18,  19,  20,  17,  18,  20,  17,  18,  19,  17,  18,  20,  17,  17,  18,  16,  20,  31,  13,  18,  23,  15,  17,  18,  16,  16,  18,  15,  16,  17,  15,  16,  18,  15,  16,  17,  15,  15,  16,  14,  15,  16,  14,  15,  17,  14,  14,  16,  13,
   14,  15,  13,  14,  16,  13,  14,  15,  13,  13,  15,  12,  13,  14,  12,  13,  15,  12,  13,  14,  11,  12,  14,  11,  12,  14,  11,  12,  14,  11,  12,  13,  10,  11,  13,  10,  11,  13,  10,  11,  13,  10,  10,  12,   9,  10,  12,   9,  10,  12,   9,  10,  12,   9,   9,  11,   8,   9,  11,   8,   9,  11,   8,
    8,   9,   8,  12,  21,   6,  11,  18,   6,   7,   8,   7,   7,   9,   6,   7,   9,   6,   7,   9,   6,   7,   9,   6,   6,   8,   5,   6,   8,   5,   6,   8,   5,   6,   7,   5,   5,   7,   4,   5,   7,   4,   5,   7,   4,   4,   6,   3,   4,   6,   3,   4,   6,   3,   4,   6,   3,   3,   5,   2,   3,   5,   2,
    3,   5,   2,   3,   5,   2,   2,   4,   1,   2,   4,   1,   2,   3,   1,   2,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  69,  69,  67,  66,  67,  67,  67,  67,  67,  66,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  62,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  55,  60,  64,  58,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  56,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  58,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  45,  44,  43,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  44,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  42,  41,  40,  41,  41,  41,  41,  41,  41,  41,  40,  40,  41,  40,  39,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  39,  38,  37,  38,  38,  38,  38,  38,  38,  38,  37,  37,  38,  37,  36,  37,  37,  37,  37,  37,  36,  37,  36,  36,  36,  36,  35,  36,  36,  36,  36,  36,  35,  36,  35,  34,  35,  35,  35,  35,  35,  34,  35,  35,  36,  33,
   36,  45,  29,  34,  33,  34,  34,  33,  34,  33,  33,  33,  33,  32,  33,  33,  33,  33,  33,  32,  33,  32,  32,  32,  32,  31,  32,  32,  32,  32,  32,  31,  32,  31,  30,  31,  31,  30,  31,  31,  31,  31,  30,  30,  30,  30,  29,  30,  30,  30,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  29,  29,
   28,  28,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  27,  27,  27,  26,  27,  27,  27,  27,  27,  26,  27,  26,  25,  26,  26,  26,  26,  26,  25,  26,  26,  26,  25,  28,  38,  22,  25,  26,  25,  25,  24,  25,  24,  24,  24,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,
   23,  23,  23,  22,  22,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  21,  21,  21,  20,  21,  21,  20,  21,  21,  20,  21,  20,  19,  20,  20,  19,  20,  20,  20,  20,  19,  19,  20,  19,  18,  19,  19,  18,  19,  19,  18,  19,  18,  18,  18,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  16,  17,
   17,  16,  17,  17,  17,  17,  16,  15,  17,  19,  28,  14,  17,  20,  15,  16,  14,  16,  15,  15,  15,  15,  14,  15,  15,  14,  15,  15,  14,  15,  14,  13,  14,  14,  13,  14,  14,  13,  14,  13,  13,  14,  13,  12,  13,  13,  12,  13,  13,  12,  13,  12,  12,  12,  12,  11,  12,  12,  11,  12,  12,  11,  12,
   11,  10,  11,  11,  10,  11,  11,  10,  11,  10,  10,  11,  10,   9,  10,  10,   9,  10,  10,   9,  10,   9,   9,   9,   9,   8,   9,   9,   8,   9,   9,   8,   9,   8,   8,   8,   8,   7,   8,   8,   8,   8,   7,   6,   8,  11,  18,   6,  10,  15,   7,   6,   5,   7,   6,   6,   6,   6,   5,   6,   6,   5,   6,
    6,   5,   6,   5,   4,   5,   5,   4,   5,   5,   4,   5,   4,   4,   5,   4,   3,   4,   4,   3,   4,   4,   3,   4,   3,   3,   3,   3,   2,   3,   3,   2,   3,   3,   2,   3,   2,   1,   2,   2,   1,   2,   2,   1,   2,   2,   1,   2,   1,   0,   1,   1,   0,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  20,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  69,  67,  66,  67,  67,  67,  68,  67,  66,  67,  66,  66,  67,  66,  66,  67,  66,  66,  67,  66,  65,  66,  65,  64,  65,  65,  65,  66,  65,  65,  65,  64,  64,  65,  64,  63,  65,  64,  64,  65,  64,  63,  64,  63,  63,  63,  63,  62,  63,
   63,  63,  64,  63,  62,  63,  62,  61,  62,  62,  62,  62,  62,  61,  63,  60,  68,  55,  60,  64,  58,  61,  60,  62,  61,  60,  61,  60,  60,  60,  60,  60,  61,  60,  60,  61,  60,  59,  60,  59,  58,  59,  59,  59,  60,  59,  59,  59,  58,  58,  59,  58,  57,  58,  58,  58,  59,  58,  57,  58,  57,  56,  57,
   57,  56,  57,  57,  57,  58,  57,  56,  57,  56,  55,  56,  56,  55,  56,  56,  56,  57,  56,  55,  56,  55,  54,  55,  55,  54,  55,  55,  54,  55,  54,  54,  55,  54,  53,  54,  54,  54,  54,  54,  53,  54,  53,  52,  53,  53,  53,  53,  53,  52,  54,  52,  58,  48,  51,  58,  48,  52,  50,  53,  52,  52,  52,
   51,  50,  51,  51,  50,  51,  51,  51,  51,  51,  50,  51,  50,  49,  50,  50,  49,  50,  50,  49,  50,  49,  49,  50,  49,  48,  49,  49,  48,  49,  49,  48,  49,  48,  48,  49,  48,  47,  48,  48,  47,  48,  48,  47,  48,  47,  46,  47,  47,  46,  47,  47,  46,  47,  46,  46,  47,  46,  45,  46,  46,  45,  46,
   46,  45,  46,  45,  44,  45,  45,  44,  45,  45,  44,  45,  45,  44,  45,  44,  43,  44,  44,  44,  44,  44,  43,  45,  44,  47,  41,  43,  51,  38,  43,  42,  44,  43,  42,  43,  42,  41,  42,  42,  41,  42,  42,  41,  42,  42,  41,  42,  41,  40,  41,  41,  40,  41,  41,  40,  41,  40,  40,  41,  40,  39,  40,
   40,  39,  40,  40,  39,  40,  39,  38,  39,  39,  38,  39,  39,  38,  39,  39,  38,  39,  38,  37,  38,  38,  37,  38,  38,  37,  38,  37,  37,  38,  37,  36,  37,  37,  36,  37,  37,  36,  37,  36,  35,  36,  36,  35,  36,  36,  35,  36,  35,  35,  36,  35,  34,  35,  35,  34,  35,  35,  34,  36,  35,  36,  33,
   36,  44,  30,  34,  33,  34,  34,  33,  34,  33,  32,  33,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  32,  31,  31,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,  30,  30,  30,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  29,
   28,  28,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  27,  27,  26,  27,  27,  26,  27,  27,  26,  27,  26,  25,  26,  26,  25,  26,  26,  25,  26,  25,  25,  25,  28,  37,  22,  25,  26,  25,  25,  24,  25,  24,  24,  24,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,
   23,  22,  23,  22,  22,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  20,  21,  21,  20,  21,  21,  20,  21,  20,  19,  20,  20,  19,  20,  20,  19,  20,  19,  19,  20,  19,  18,  19,  19,  18,  19,  19,  18,  19,  18,  17,  18,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  16,  17,
   17,  16,  17,  17,  16,  17,  16,  15,  17,  19,  28,  14,  17,  20,  15,  15,  14,  16,  15,  15,  15,  15,  14,  15,  15,  14,  15,  15,  14,  15,  14,  13,  14,  14,  13,  14,  14,  13,  14,  13,  13,  14,  13,  12,  13,  13,  12,  13,  13,  12,  13,  12,  11,  12,  12,  11,  12,  12,  11,  12,  11,  11,  12,
   11,  10,  11,  11,  10,  11,  11,  10,  11,  10,  10,  11,  10,   9,  10,  10,   9,  10,  10,   9,  10,   9,   8,   9,   9,   8,   9,   9,   8,   9,   9,   8,   9,   8,   7,   8,   8,   7,   8,   8,   7,   8,   7,   5,   8,  11,  18,   6,  10,  15,   7,   6,   5,   7,   6,   6,   6,   6,   5,   6,   6,   5,   6,
    6,   5,   6,   5,   4,   5,   5,   4,   5,   5,   4,   5,   4,   4,   5,   4,   3,   4,   4,   3,   4,   4,   3,   4,   3,   2,   3,   3,   2,   3,   3,   2,   3,   3,   2,   3,   2,   1,   2,   2,   1,   2,   2,   1,   2,   1,   1,   2,   1,   0,   1,   1,   0,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  62,  69,  57,  67,  76,  60,  64,  73,  58,  65,  74,  59,
   65,  74,  59,  64,  73,  58,  64,  73,  58,  64,  73,  58,  63,  72,  57,  63,  72,  57,  63,  72,  57,  63,  72,  57,  62,  71,  56,  62,  71,  56,  62,  71,  56,  62,  71,  56,  61,  70,  55,  61,  70,  55,  61,  70,  55,  61,  70,  55,  60,  69,  54,  60,  70,  54,  60,  69,  55,  58,  74,  48,  59,  72,  50,
   60,  68,  54,  59,  69,  53,  59,  68,  53,  59,  68,  53,  59,  68,  53,  58,  67,  52,  58,  67,  52,  58,  67,  52,  58,  67,  52,  57,  66,  51,  57,  66,  51,  57,  66,  51,  57,  66,  51,  56,  65,  50,  56,  65,  50,  56,  65,  50,  56,  65,  50,  55,  64,  49,  55,  64,  49,  55,  64,  49,  55,  64,  49,
   54,  63,  48,  54,  63,  48,  54,  63,  48,  53,  62,  47,  53,  62,  47,  53,  62,  47,  53,  62,  47,  52,  61,  46,  52,  62,  46,  52,  61,  47,  52,  67,  42,  51,  66,  41,  51,  60,  46,  51,  61,  45,  51,  60,  45,  51,  60,  45,  51,  60,  45,  51,  60,  45,  50,  59,  44,  50,  59,  44,  50,  59,  44,
   49,  58,  43,  49,  58,  43,  49,  58,  43,  49,  58,  43,  48,  57,  42,  48,  57,  42,  48,  57,  42,  48,  57,  42,  47,  56,  41,  47,  56,  41,  47,  56,  41,  46,  56,  40,  46,  55,  40,  46,  56,  40,  46,  55,  40,  45,  55,  40,  45,  55,  39,  45,  55,  40,  45,  54,  39,  45,  54,  39,  45,  54,  39,
   45,  53,  39,  44,  57,  36,  44,  61,  33,  44,  52,  38,  44,  53,  38,  43,  52,  37,  43,  52,  37,  43,  52,  37,  42,  51,  36,  42,  51,  36,  42,  51,  36,  42,  51,  36,  41,  51,  35,  41,  50,  35,  41,  50,  35,  41,  50,  35,  40,  49,  34,  40,  49,  34,  40,  49,  34,  40,  49,  34,  39,  48,  33,
   39,  48,  33,  39,  48,  33,  39,  48,  33,  38,  48,  32,  38,  48,  32,  38,  47,  32,  37,  47,  32,  37,  47,  32,  37,  47,  32,  37,  46,  31,  37,  46,  31,  37,  46,  31,  37,  45,  31,  36,  47,  29,  37,  54,  26,  36,  45,  30,  36,  45,  30,  35,  44,  29,  35,  44,  29,  35,  44,  29,  35,  44,  29,
   34,  43,  28,  34,  43,  28,  34,  43,  28,  34,  43,  28,  33,  42,  27,  33,  42,  27,  33,  42,  27,  32,  41,  27,  32,  41,  26,  32,  41,  26,  32,  41,  26,  31,  40,  25,  31,  40,  25,  31,  40,  25,  31,  40,  25,  30,  39,  24,  30,  40,  24,  30,  40,  24,  30,  39,  24,  29,  39,  24,  30,  39,  24,
   29,  39,  24,  29,  38,  23,  29,  38,  23,  29,  38,  23,  29,  38,  22,  31,  48,  19,  28,  39,  22,  28,  37,  22,  27,  36,  21,  27,  36,  21,  27,  36,  21,  27,  36,  21,  26,  35,  20,  26,  35,  20,  26,  35,  20,  26,  35,  20,  25,  34,  19,  25,  34,  19,  25,  34,  19,  24,  34,  19,  24,  34,  18,
   24,  34,  19,  24,  34,  18,  24,  33,  18,  24,  33,  18,  24,  33,  18,  23,  32,  17,  23,  32,  17,  23,  32,  17,  23,  32,  17,  22,  31,  16,  22,  31,  16,  22,  31,  16,  22,  31,  16,  21,  30,  15,  21,  30,  15,  21,  30,  15,  20,  29,  15,  23,  40,  12,  21,  33,  13,  20,  28,  14,  19,  29,  13,
   19,  28,  13,  19,  28,  13,  19,  28,  13,  18,  27,  12,  18,  27,  12,  18,  27,  12,  18,  27,  12,  17,  27,  11,  17,  27,  11,  17,  27,  11,  16,  26,  11,  16,  26,  11,  16,  26,  11,  16,  25,  10,  16,  25,  10,  16,  25,  10,  16,  25,  10,  15,  24,   9,  15,  24,   9,  15,  24,   9,  15,  24,   9,
   14,  23,   8,  14,  23,   8,  14,  23,   8,  14,  23,   8,  13,  22,   7,  13,  22,   7,  13,  22,   7,  12,  21,   7,  16,  32,   5,  15,  29,   6,  12,  20,   6,  12,  21,   6,  11,  20,   5,  11,  20,   5,  11,  20,   5,  10,  20,   4,  10,  19,   4,  10,  20,   4,  10,  19,   4,   9,  18,   3,   9,  18,   3,
    9,  18,   3,   9,  18,   3,   8,  18,   3,   9,  18,   3,   8,  18,   3,   8,  17,   2,   8,  17,   2,   8,  17,   2,   8,  17,   2,   7,  16,   1,   7,  17,   1,   4,   9,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  63,  66,  61,  68,  71,  66,  66,  69,  63,  66,  70,  64,  66,  69,  64,  65,  69,  63,  65,  69,  63,  65,  69,  63,  65,  68,  62,  64,  67,  62,  64,  68,  62,
   64,  68,  62,  63,  67,  61,  63,  67,  61,  63,  67,  61,  63,  67,  61,  62,  66,  60,  62,  66,  60,  62,  66,  60,  62,  65,  60,  61,  65,  59,  61,  65,  59,  62,  64,  60,  59,  70,  52,  60,  67,  55,  61,  63,  59,  60,  64,  58,  59,  63,  57,  59,  63,  57,  59,  63,  57,  59,  62,  57,  58,  62,  56,
   58,  62,  56,  58,  62,  56,  58,  61,  55,  58,  61,  55,  58,  61,  55,  57,  61,  55,  57,  60,  54,  57,  60,  54,  57,  60,  55,  56,  60,  54,  56,  59,  53,  56,  59,  53,  56,  59,  54,  55,  59,  53,  55,  58,  52,  55,  58,  52,  55,  58,  52,  54,  57,  52,  54,  57,  51,  54,  57,  52,  53,  57,  51,
   53,  56,  50,  53,  56,  50,  53,  55,  51,  52,  62,  45,  51,  61,  45,  52,  54,  50,  52,  55,  49,  51,  54,  49,  51,  54,  49,  51,  54,  49,  51,  54,  48,  50,  53,  48,  50,  53,  48,  50,  53,  48,  49,  53,  47,  49,  52,  47,  49,  52,  47,  49,  52,  47,  48,  52,  46,  48,  51,  46,  48,  52,  46,
   48,  51,  46,  47,  50,  45,  47,  50,  45,  47,  51,  45,  46,  50,  44,  46,  50,  44,  46,  50,  44,  46,  50,  44,  45,  49,  43,  45,  49,  43,  45,  49,  43,  45,  48,  43,  44,  48,  42,  44,  48,  42,  44,  47,  43,  44,  51,  39,  44,  55,  36,  43,  46,  42,  43,  47,  41,  42,  46,  40,  42,  46,  40,
   42,  46,  40,  42,  45,  40,  41,  45,  39,  41,  45,  39,  41,  45,  39,  41,  44,  38,  40,  44,  38,  40,  44,  38,  40,  44,  38,  39,  43,  37,  39,  43,  37,  39,  43,  37,  39,  43,  37,  38,  42,  36,  38,  42,  36,  38,  42,  36,  38,  41,  36,  38,  41,  35,  38,  41,  35,  38,  41,  35,  37,  40,  34,
   37,  40,  34,  37,  40,  34,  36,  40,  34,  36,  39,  33,  36,  39,  33,  36,  39,  34,  35,  41,  32,  36,  49,  28,  35,  38,  32,  35,  38,  32,  34,  37,  32,  34,  37,  31,  34,  37,  32,  34,  37,  31,  33,  36,  31,  33,  36,  30,  33,  36,  31,  32,  36,  30,  32,  35,  30,  32,  35,  30,  32,  35,  30,
   31,  34,  29,  31,  34,  29,  31,  34,  29,  31,  34,  29,  30,  33,  28,  30,  33,  28,  30,  33,  28,  29,  33,  27,  29,  32,  27,  29,  32,  27,  29,  32,  27,  28,  32,  26,  28,  31,  26,  28,  32,  26,  28,  31,  26,  27,  30,  25,  27,  31,  25,  27,  30,  25,  27,  31,  24,  29,  42,  21,  26,  31,  23,
   26,  29,  24,  25,  29,  23,  25,  28,  23,  25,  29,  23,  25,  28,  23,  24,  28,  22,  24,  27,  22,  24,  28,  22,  24,  27,  22,  23,  26,  21,  23,  27,  21,  23,  27,  21,  22,  26,  20,  22,  26,  20,  22,  26,  20,  22,  26,  20,  21,  25,  19,  21,  25,  19,  21,  25,  19,  21,  24,  19,  20,  24,  18,
   20,  24,  18,  20,  24,  18,  19,  23,  17,  19,  23,  17,  19,  23,  17,  19,  23,  17,  18,  22,  16,  18,  22,  16,  18,  22,  16,  18,  21,  16,  21,  33,  13,  19,  25,  15,  17,  20,  15,  17,  20,  15,  16,  20,  14,  17,  20,  14,  16,  20,  14,  16,  19,  13,  16,  19,  13,  16,  19,  13,  15,  19,  13,
   15,  18,  12,  15,  18,  12,  15,  18,  12,  14,  17,  12,  14,  17,  11,  14,  17,  11,  13,  17,  11,  13,  16,  10,  13,  16,  10,  13,  16,  10,  12,  16,  10,  12,  15,  10,  12,  15,  10,  12,  15,  10,  11,  14,   9,  11,  14,   9,  11,  14,   9,  11,  14,   9,  10,  13,   8,  10,  13,   8,  10,  14,   8,
    9,  12,   8,  13,  24,   6,  12,  21,   6,   8,  11,   7,   8,  12,   6,   8,  11,   6,   8,  11,   6,   8,  11,   6,   7,  10,   5,   7,  10,   5,   7,  10,   5,   7,  10,   4,   6,   9,   4,   6,   9,   4,   6,   9,   4,   5,   9,   3,   5,   8,   3,   5,   9,   3,   5,   8,   3,   4,   8,   2,   4,   7,   2,
    4,   8,   2,   4,   7,   2,   3,   7,   1,   3,   7,   1,   2,   4,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  70,  67,  66,  67,  67,  67,  68,  67,  66,  67,  66,  65,  67,  66,  65,  67,  66,  66,  67,  66,  65,  66,  65,  64,  66,  65,  64,  66,  65,  64,  66,  64,  64,  65,  64,  63,  65,  64,  63,  65,  64,  63,  65,  63,  62,  64,  63,  62,  64,
   63,  62,  64,  63,  62,  63,  62,  61,  63,  62,  62,  62,  62,  61,  63,  60,  67,  55,  60,  64,  58,  61,  60,  62,  61,  60,  61,  60,  59,  61,  60,  59,  61,  60,  59,  61,  60,  59,  60,  59,  58,  60,  59,  58,  60,  59,  58,  60,  58,  57,  59,  58,  57,  59,  58,  57,  59,  58,  57,  58,  57,  56,  57,
   57,  56,  58,  57,  56,  58,  57,  56,  57,  56,  55,  56,  56,  55,  57,  56,  55,  57,  56,  55,  56,  55,  54,  55,  55,  54,  56,  55,  54,  56,  54,  53,  55,  54,  53,  55,  54,  53,  55,  54,  53,  54,  53,  52,  54,  53,  53,  53,  53,  51,  54,  52,  58,  48,  51,  58,  48,  52,  50,  53,  52,  51,  52,
   51,  50,  52,  51,  50,  51,  51,  50,  52,  51,  50,  51,  50,  49,  50,  50,  49,  50,  50,  49,  51,  49,  49,  50,  49,  48,  49,  49,  48,  49,  49,  48,  49,  48,  47,  49,  48,  47,  48,  48,  47,  49,  48,  47,  48,  47,  46,  47,  47,  46,  47,  47,  46,  48,  46,  46,  47,  46,  45,  46,  46,  45,  47,
   46,  45,  46,  45,  44,  46,  45,  44,  45,  45,  44,  46,  45,  44,  45,  44,  43,  44,  44,  43,  44,  44,  42,  45,  44,  47,  41,  43,  51,  38,  43,  41,  44,  43,  42,  43,  42,  41,  42,  42,  41,  42,  42,  41,  42,  41,  41,  42,  41,  40,  41,  41,  40,  41,  41,  40,  41,  40,  40,  41,  40,  39,  40,
   40,  39,  40,  40,  39,  40,  39,  38,  40,  39,  38,  39,  39,  38,  39,  39,  38,  39,  38,  37,  38,  38,  37,  38,  38,  37,  38,  37,  36,  38,  37,  36,  37,  37,  36,  37,  37,  36,  37,  36,  35,  36,  36,  35,  36,  36,  35,  36,  35,  35,  36,  35,  34,  35,  35,  34,  35,  35,  34,  36,  34,  36,  34,
   36,  44,  30,  34,  33,  34,  34,  33,  34,  33,  32,  33,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  32,  31,  31,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,  30,  29,  31,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  29,
   28,  28,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  27,  27,  26,  27,  27,  26,  27,  27,  26,  27,  26,  25,  26,  26,  25,  26,  26,  25,  26,  25,  25,  25,  28,  37,  22,  25,  26,  25,  25,  24,  25,  24,  23,  25,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,
   23,  22,  23,  22,  22,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  20,  21,  21,  20,  21,  21,  20,  21,  20,  19,  20,  20,  19,  20,  20,  19,  20,  19,  18,  20,  19,  18,  19,  19,  18,  19,  19,  18,  19,  18,  17,  18,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  16,  17,
   17,  16,  17,  17,  16,  17,  16,  15,  17,  19,  28,  14,  17,  19,  15,  15,  14,  16,  15,  14,  15,  15,  14,  15,  15,  14,  15,  15,  14,  15,  14,  13,  14,  14,  13,  14,  14,  13,  14,  13,  12,  14,  13,  12,  13,  13,  12,  13,  13,  12,  13,  12,  11,  12,  12,  11,  12,  12,  11,  12,  11,  11,  12,
   11,  10,  11,  11,  10,  11,  11,  10,  11,  10,  10,  11,  10,   9,  10,  10,   9,  10,  10,   9,  10,   9,   8,   9,   9,   8,   9,   9,   8,   9,   9,   8,   9,   8,   7,   8,   8,   7,   8,   8,   7,   8,   7,   5,   8,  11,  18,   6,  10,  15,   7,   6,   4,   7,   6,   6,   6,   6,   5,   6,   6,   5,   6,
    6,   5,   6,   5,   4,   5,   5,   4,   5,   5,   4,   5,   4,   4,   5,   4,   3,   4,   4,   3,   4,   4,   3,   4,   3,   2,   3,   2,   2,   3,   3,   2,   3,   2,   2,   3,   2,   1,   2,   2,   1,   2,   2,   1,   2,   1,   1,   2,   0,   0,   1,   0,   0,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  59,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  26,  27,  24,  25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   9,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  59,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  26,  27,  24,
   25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   9,   8,
    7,   7,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  70,  67,  66,  67,  67,  66,  68,  67,  66,  68,  66,  65,  67,  66,  65,  67,  66,  65,  67,  66,  65,  66,  65,  64,  66,  65,  64,  66,  65,  64,  66,  64,  63,  65,  64,  63,  65,  64,  63,  65,  64,  63,  65,  63,  62,  64,  63,  62,  64,
   63,  62,  64,  63,  62,  63,  62,  61,  63,  62,  61,  63,  62,  60,  64,  60,  67,  55,  60,  64,  58,  61,  59,  63,  61,  60,  61,  60,  59,  61,  60,  59,  61,  60,  59,  61,  60,  59,  60,  59,  58,  60,  59,  58,  60,  59,  58,  60,  58,  57,  59,  58,  57,  59,  58,  57,  59,  58,  57,  58,  57,  56,  58,
   57,  56,  58,  57,  56,  58,  57,  56,  57,  56,  55,  57,  56,  55,  57,  56,  55,  57,  56,  55,  56,  55,  54,  56,  55,  54,  56,  55,  54,  56,  54,  53,  55,  54,  53,  55,  54,  53,  55,  54,  53,  54,  53,  52,  54,  53,  52,  54,  53,  51,  55,  52,  58,  48,  51,  58,  48,  52,  50,  54,  52,  51,  53,
   51,  50,  52,  51,  50,  52,  51,  50,  52,  51,  50,  51,  50,  49,  51,  50,  49,  51,  50,  49,  51,  49,  48,  50,  49,  48,  50,  49,  48,  50,  49,  48,  50,  48,  47,  49,  48,  47,  49,  48,  47,  49,  48,  47,  48,  47,  46,  48,  47,  46,  48,  47,  46,  48,  46,  45,  47,  46,  45,  47,  46,  45,  47,
   46,  45,  47,  45,  44,  46,  45,  44,  46,  45,  44,  46,  45,  44,  45,  44,  43,  45,  44,  43,  44,  44,  42,  45,  43,  47,  41,  43,  51,  39,  43,  41,  44,  43,  42,  43,  42,  41,  43,  42,  41,  43,  42,  41,  43,  41,  40,  42,  41,  40,  42,  41,  40,  42,  41,  40,  42,  40,  39,  41,  40,  39,  40,
   40,  39,  41,  40,  39,  41,  39,  38,  40,  39,  38,  39,  39,  38,  40,  39,  38,  39,  38,  37,  38,  38,  37,  38,  38,  37,  39,  37,  36,  38,  37,  36,  37,  37,  36,  38,  37,  36,  37,  36,  35,  37,  36,  35,  36,  36,  35,  37,  35,  34,  36,  35,  34,  35,  35,  34,  35,  35,  33,  36,  34,  36,  34,
   35,  44,  30,  34,  33,  35,  34,  33,  34,  33,  32,  34,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  32,  31,  30,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,  30,  29,  31,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  29,
   28,  27,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  28,  27,  26,  27,  27,  26,  27,  26,  25,  27,  26,  25,  26,  26,  25,  26,  26,  25,  26,  25,  25,  26,  28,  37,  22,  25,  26,  25,  25,  23,  25,  24,  23,  25,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,
   23,  22,  23,  22,  21,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  20,  21,  21,  20,  21,  20,  19,  21,  20,  19,  20,  20,  19,  20,  20,  19,  20,  19,  18,  20,  19,  18,  19,  19,  18,  19,  19,  18,  19,  18,  17,  18,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  16,  17,
   17,  16,  17,  17,  16,  17,  16,  15,  17,  19,  28,  14,  17,  19,  16,  15,  14,  16,  15,  14,  15,  15,  13,  15,  15,  14,  15,  14,  13,  15,  13,  13,  14,  13,  13,  14,  14,  13,  14,  13,  12,  14,  12,  11,  13,  13,  12,  13,  13,  12,  13,  12,  11,  12,  11,  10,  12,  12,  11,  12,  11,  10,  12,
   10,   9,  11,  11,  10,  11,  11,  10,  11,  10,   9,  11,   9,   8,  10,  10,   9,  10,  10,   9,  10,   9,   8,   9,   8,   7,   9,   9,   7,   9,   9,   7,   9,   8,   7,   8,   7,   6,   8,   8,   7,   8,   7,   5,   8,  11,  17,   6,  10,  14,   7,   6,   4,   7,   6,   5,   6,   5,   4,   6,   5,   4,   6,
    5,   4,   6,   5,   4,   5,   4,   3,   5,   4,   4,   5,   4,   3,   5,   3,   2,   4,   3,   2,   4,   3,   3,   4,   3,   2,   3,   2,   1,   3,   2,   1,   3,   2,   1,   3,   1,   0,   2,   1,   0,   2,   1,   0,   2,   1,   0,   2,   0,   0,   1,   0,   0,   1,   1,   0,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  62,  68,  58,  67,  75,  61,  65,  72,  60,  65,  73,  60,
   65,  73,  60,  64,  72,  59,  64,  72,  59,  64,  72,  59,  64,  71,  58,  63,  71,  58,  63,  71,  58,  63,  71,  58,  62,  70,  57,  62,  70,  57,  62,  70,  57,  62,  70,  57,  62,  69,  57,  62,  69,  57,  62,  69,  57,  61,  69,  56,  61,  68,  55,  61,  69,  55,  61,  68,  56,  58,  74,  49,  59,  71,  51,
   60,  67,  55,  59,  67,  54,  59,  66,  54,  59,  66,  54,  59,  67,  54,  58,  66,  53,  58,  65,  53,  58,  65,  53,  58,  65,  53,  57,  65,  52,  57,  65,  52,  57,  65,  52,  57,  65,  52,  56,  64,  51,  56,  64,  51,  56,  64,  51,  56,  64,  51,  55,  63,  50,  55,  63,  50,  55,  63,  50,  55,  63,  50,
   54,  62,  49,  54,  62,  49,  54,  62,  49,  53,  61,  48,  53,  61,  48,  53,  61,  48,  53,  61,  48,  52,  60,  47,  52,  60,  47,  52,  59,  48,  52,  65,  43,  51,  65,  42,  51,  59,  47,  51,  60,  46,  51,  59,  46,  51,  59,  46,  51,  59,  46,  51,  58,  45,  50,  57,  45,  50,  58,  45,  50,  58,  45,
   49,  57,  44,  49,  56,  44,  49,  57,  44,  49,  57,  44,  48,  56,  43,  48,  56,  43,  48,  56,  43,  48,  56,  43,  47,  55,  42,  47,  55,  42,  47,  55,  42,  46,  54,  41,  46,  54,  41,  46,  54,  41,  46,  54,  41,  45,  53,  40,  45,  53,  40,  45,  53,  40,  45,  53,  40,  45,  52,  39,  45,  52,  39,
   45,  51,  40,  44,  56,  36,  44,  59,  34,  44,  51,  39,  44,  51,  38,  43,  50,  38,  43,  50,  38,  43,  50,  38,  42,  50,  37,  42,  49,  37,  42,  49,  37,  42,  49,  37,  41,  49,  36,  41,  49,  36,  41,  49,  36,  41,  49,  36,  40,  48,  35,  40,  48,  35,  40,  48,  35,  40,  48,  35,  39,  47,  34,
   39,  47,  34,  39,  47,  34,  38,  46,  33,  38,  46,  33,  38,  46,  33,  38,  46,  33,  37,  45,  32,  37,  45,  32,  37,  45,  32,  37,  45,  32,  36,  44,  31,  36,  44,  31,  36,  43,  31,  36,  46,  30,  37,  53,  26,  35,  43,  30,  35,  43,  30,  35,  42,  30,  34,  42,  30,  34,  42,  30,  34,  42,  30,
   34,  42,  29,  34,  42,  29,  34,  42,  29,  33,  41,  28,  33,  41,  28,  33,  41,  28,  33,  41,  28,  32,  40,  27,  32,  40,  27,  32,  40,  27,  32,  40,  27,  31,  39,  26,  31,  39,  26,  31,  39,  26,  30,  38,  25,  30,  38,  25,  30,  38,  25,  30,  38,  25,  29,  37,  25,  29,  37,  24,  29,  37,  24,
   29,  37,  24,  28,  36,  23,  28,  36,  23,  29,  36,  24,  28,  36,  23,  30,  47,  19,  28,  37,  22,  27,  35,  23,  27,  35,  22,  26,  34,  21,  27,  34,  22,  26,  34,  21,  26,  33,  21,  25,  33,  20,  26,  33,  21,  25,  33,  20,  24,  32,  19,  25,  32,  20,  25,  32,  20,  24,  32,  19,  24,  32,  19,
   24,  32,  19,  23,  32,  19,  23,  31,  18,  23,  31,  18,  23,  31,  18,  23,  30,  17,  22,  30,  17,  22,  30,  17,  22,  30,  17,  21,  29,  16,  21,  29,  16,  21,  29,  16,  21,  29,  16,  20,  28,  15,  20,  28,  15,  20,  28,  15,  20,  27,  15,  22,  39,  12,  20,  31,  14,  19,  26,  14,  19,  27,  14,
   18,  26,  14,  18,  26,  14,  18,  26,  13,  18,  25,  13,  18,  25,  13,  18,  26,  13,  17,  25,  12,  17,  24,  12,  17,  24,  12,  17,  24,  12,  16,  24,  11,  16,  23,  11,  16,  24,  11,  16,  23,  10,  15,  22,  10,  15,  22,  10,  15,  23,  10,  15,  22,  10,  14,  21,   9,  14,  22,   9,  14,  22,   9,
   13,  21,   8,  13,  21,   8,  13,  21,   8,  13,  21,   8,  12,  20,   7,  12,  20,   7,  12,  20,   7,  12,  19,   7,  15,  30,   5,  14,  27,   6,  11,  18,   6,  11,  19,   6,  10,  18,   5,  10,  18,   5,  10,  18,   5,  10,  17,   4,  10,  17,   4,  10,  17,   4,   9,  17,   4,   9,  16,   3,   9,  16,   3,
    9,  16,   3,   8,  16,   3,   8,  16,   3,   8,  16,   3,   8,  16,   3,   7,  15,   2,   7,  15,   2,   7,  15,   2,   7,  15,   2,   6,  14,   1,   6,  15,   1,   4,   8,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  63,  67,  60,  67,  73,  64,  65,  71,  62,  66,  71,  62,  65,  71,  62,  65,  70,  61,  65,  70,  61,  65,  70,  61,  64,  69,  61,  64,  69,  60,  64,  69,  60,
   64,  69,  60,  63,  68,  59,  63,  68,  59,  63,  68,  59,  63,  68,  59,  62,  67,  59,  62,  67,  58,  62,  67,  59,  62,  67,  58,  61,  66,  57,  61,  66,  57,  61,  66,  58,  59,  72,  51,  59,  69,  53,  60,  65,  57,  60,  65,  56,  59,  64,  56,  59,  64,  56,  59,  65,  56,  59,  64,  55,  58,  63,  55,
   58,  64,  55,  58,  63,  55,  57,  63,  54,  57,  63,  54,  57,  63,  54,  57,  62,  54,  56,  62,  53,  57,  62,  53,  57,  62,  53,  56,  61,  53,  55,  61,  52,  56,  61,  52,  56,  61,  52,  55,  60,  51,  54,  60,  51,  55,  60,  51,  55,  60,  51,  54,  59,  50,  53,  59,  50,  54,  59,  50,  53,  59,  50,
   52,  58,  49,  53,  58,  49,  53,  57,  50,  52,  63,  44,  51,  63,  44,  52,  56,  49,  51,  57,  48,  51,  56,  48,  51,  56,  47,  51,  56,  48,  51,  56,  47,  50,  55,  46,  50,  55,  46,  50,  55,  47,  49,  54,  46,  49,  54,  45,  49,  54,  45,  49,  54,  45,  48,  53,  45,  48,  53,  44,  48,  53,  45,
   48,  53,  44,  47,  52,  43,  47,  52,  43,  47,  52,  44,  46,  52,  43,  46,  52,  43,  46,  52,  43,  46,  52,  43,  45,  51,  42,  45,  51,  42,  45,  51,  42,  45,  50,  42,  44,  50,  41,  44,  50,  41,  44,  49,  41,  44,  53,  38,  44,  57,  35,  43,  48,  40,  43,  49,  40,  42,  48,  39,  42,  48,  39,
   43,  48,  39,  42,  47,  38,  41,  47,  38,  41,  47,  38,  42,  47,  38,  41,  46,  37,  40,  46,  37,  40,  46,  37,  40,  46,  37,  40,  45,  36,  39,  45,  36,  40,  45,  36,  39,  45,  36,  39,  44,  35,  39,  44,  35,  39,  44,  35,  38,  43,  35,  38,  43,  34,  38,  43,  34,  38,  43,  34,  37,  42,  33,
   37,  42,  33,  37,  42,  33,  37,  42,  33,  36,  41,  32,  36,  41,  32,  36,  41,  33,  36,  43,  31,  37,  50,  27,  35,  40,  31,  35,  40,  31,  34,  39,  31,  34,  39,  31,  34,  39,  31,  34,  39,  31,  33,  39,  30,  33,  39,  30,  33,  39,  30,  33,  38,  30,  32,  38,  29,  32,  38,  29,  32,  38,  29,
   32,  37,  28,  31,  37,  28,  31,  37,  28,  31,  36,  28,  30,  36,  27,  30,  36,  27,  30,  36,  27,  30,  35,  26,  29,  35,  26,  29,  35,  26,  29,  35,  26,  29,  34,  25,  28,  34,  25,  28,  34,  25,  28,  34,  25,  28,  33,  24,  28,  33,  24,  28,  33,  24,  27,  33,  23,  30,  44,  20,  27,  34,  23,
   27,  32,  24,  26,  31,  23,  26,  31,  22,  26,  31,  22,  26,  31,  22,  25,  30,  21,  25,  30,  21,  25,  30,  21,  24,  30,  21,  24,  29,  20,  24,  29,  20,  24,  29,  20,  23,  28,  20,  23,  28,  20,  23,  28,  20,  23,  28,  19,  22,  27,  19,  22,  27,  19,  22,  27,  19,  22,  27,  18,  21,  26,  18,
   21,  26,  18,  21,  26,  18,  20,  26,  17,  20,  26,  17,  20,  26,  17,  20,  25,  17,  19,  25,  16,  19,  25,  16,  19,  25,  16,  19,  24,  16,  22,  36,  13,  19,  28,  14,  18,  23,  15,  18,  23,  14,  17,  23,  14,  17,  23,  14,  17,  23,  14,  17,  22,  13,  17,  22,  13,  17,  22,  13,  16,  21,  13,
   16,  21,  12,  16,  21,  12,  16,  21,  12,  15,  20,  11,  15,  20,  11,  15,  20,  11,  14,  20,  11,  14,  19,  10,  14,  19,  10,  14,  19,  10,  13,  18,  10,  13,  18,   9,  13,  18,   9,  13,  18,   9,  12,  17,   9,  12,  17,   8,  12,  17,   9,  12,  17,   9,  11,  16,   8,  11,  16,   7,  11,  17,   8,
   10,  15,   7,  14,  26,   6,  13,  23,   6,  10,  14,   7,  10,  15,   6,   9,  14,   5,   9,  14,   6,   9,  14,   5,   8,  13,   5,   8,  13,   4,   8,  13,   5,   8,  13,   4,   7,  12,   3,   7,  12,   4,   7,  12,   4,   6,  12,   3,   6,  12,   3,   6,  12,   3,   6,  12,   3,   5,  11,   2,   5,  11,   2,
    5,  11,   2,   5,  11,   2,   4,  10,   1,   5,  10,   1,   3,   6,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  70,  67,  66,  67,  67,  66,  68,  67,  66,  68,  66,  65,  67,  66,  65,  67,  66,  65,  67,  66,  65,  66,  65,  64,  66,  65,  64,  66,  65,  64,  66,  64,  63,  65,  64,  63,  65,  64,  63,  65,  64,  63,  65,  63,  62,  64,  63,  62,  64,
   63,  62,  64,  63,  62,  63,  62,  61,  63,  62,  61,  63,  62,  61,  64,  60,  67,  55,  60,  64,  58,  61,  59,  63,  61,  60,  61,  60,  59,  61,  60,  59,  61,  60,  59,  61,  60,  59,  60,  59,  58,  60,  59,  58,  60,  59,  58,  60,  58,  57,  59,  58,  57,  59,  58,  57,  59,  58,  57,  58,  57,  56,  58,
   57,  56,  58,  57,  56,  58,  57,  56,  57,  56,  55,  57,  56,  55,  57,  56,  55,  57,  56,  55,  56,  55,  54,  56,  55,  54,  56,  55,  54,  56,  54,  53,  55,  54,  53,  55,  54,  53,  55,  54,  53,  54,  53,  52,  54,  53,  52,  54,  53,  51,  55,  52,  58,  48,  51,  58,  48,  52,  50,  54,  52,  51,  53,
   51,  50,  52,  51,  50,  52,  51,  50,  52,  51,  50,  51,  50,  49,  51,  50,  49,  51,  50,  49,  51,  49,  48,  50,  49,  48,  50,  49,  48,  50,  49,  48,  50,  48,  47,  49,  48,  47,  49,  48,  47,  49,  48,  47,  48,  47,  46,  48,  47,  46,  48,  47,  46,  48,  46,  45,  47,  46,  45,  47,  46,  45,  47,
   46,  45,  47,  45,  44,  46,  45,  44,  46,  45,  44,  46,  45,  44,  45,  44,  43,  45,  44,  43,  44,  44,  42,  45,  43,  47,  41,  43,  51,  39,  43,  41,  44,  43,  42,  43,  42,  41,  43,  42,  41,  43,  42,  41,  43,  41,  40,  42,  41,  40,  41,  41,  40,  42,  41,  40,  42,  40,  39,  41,  40,  39,  40,
   40,  39,  41,  40,  39,  41,  39,  38,  40,  39,  38,  39,  39,  38,  40,  39,  38,  39,  38,  37,  38,  38,  37,  38,  38,  37,  39,  37,  36,  38,  37,  36,  37,  37,  36,  38,  37,  36,  37,  36,  35,  37,  36,  35,  36,  36,  35,  37,  35,  34,  36,  35,  34,  35,  35,  34,  35,  35,  33,  36,  34,  36,  34,
   35,  44,  30,  34,  33,  35,  34,  33,  34,  33,  32,  34,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  32,  31,  30,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,  30,  29,  31,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  29,
   28,  27,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  28,  27,  26,  27,  27,  26,  27,  26,  25,  27,  26,  25,  26,  26,  25,  26,  26,  25,  26,  25,  25,  25,  28,  37,  22,  25,  26,  25,  25,  23,  25,  24,  23,  25,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,
   23,  22,  23,  22,  21,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  20,  21,  21,  20,  21,  20,  19,  21,  20,  19,  20,  20,  19,  20,  20,  19,  20,  19,  18,  20,  19,  18,  19,  19,  18,  19,  19,  18,  19,  18,  17,  18,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  16,  17,
   17,  16,  17,  17,  16,  17,  16,  15,  17,  19,  28,  14,  17,  19,  16,  15,  14,  16,  15,  14,  15,  15,  13,  15,  15,  14,  15,  14,  13,  15,  14,  13,  14,  13,  13,  14,  14,  13,  14,  13,  12,  14,  12,  11,  13,  13,  12,  13,  13,  12,  13,  12,  11,  12,  11,  10,  12,  12,  11,  12,  11,  10,  12,
   10,   9,  11,  11,  10,  11,  11,  10,  11,  10,   9,  11,   9,   8,  10,  10,   9,  10,  10,   9,  10,   9,   8,   9,   8,   7,   9,   9,   7,   9,   9,   7,   9,   8,   7,   8,   7,   6,   8,   8,   7,   8,   7,   5,   8,  11,  17,   6,  10,  14,   7,   6,   4,   7,   6,   5,   6,   5,   4,   6,   5,   4,   6,
    5,   4,   6,   5,   4,   5,   4,   3,   5,   4,   4,   5,   4,   3,   5,   3,   2,   4,   3,   2,   4,   3,   3,   4,   3,   2,   3,   2,   1,   3,   2,   1,   3,   2,   1,   3,   1,   0,   2,   1,   0,   2,   1,   0,   2,   1,   0,   2,   0,   0,   1,   0,   0,   1,   1,   0,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  59,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  26,  27,  24,  25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   9,   8,   7,   7,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 179, 179, 179, 181, 181, 181, 181, 181, 181, 182, 182, 182, 181, 181, 181,
  182, 182, 182, 184, 184, 184, 184, 184, 184, 182, 182, 182, 184, 184, 184, 186, 186, 186, 187, 187, 187, 185, 185, 185, 187, 187, 187, 187, 187, 187, 187, 187, 187, 189, 189, 189, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 188, 188, 188, 185, 185, 185, 186, 186, 186, 185, 185, 185, 189, 189, 189, 186, 186, 186, 183, 183, 183, 187, 187, 187, 192, 192, 192, 190, 190, 190, 185, 185, 185, 188, 188, 188,
  194, 194, 194, 190, 190, 190, 196, 196, 196, 192, 192, 192, 188, 188, 188, 192, 192, 192, 197, 197, 197, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  176, 176, 176, 186, 186, 186, 114, 114, 114,  22,  22,  22,  24,  24,  24,  20,  20,  20,  71,  71,  71, 179, 179, 179, 186, 186, 186, 176, 176, 176, 149, 149, 149, 165, 165, 165, 190, 190, 190, 181, 181, 181, 156, 156, 156, 179, 179, 179, 158, 158, 158, 174, 174, 174, 195, 195, 195, 176, 176, 176, 162, 162, 162,
  192, 192, 192, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 177, 177, 177, 182, 182, 182, 162, 162, 162,   3,   3,   3,  42,  42,  42, 117, 117, 117,  75,  75,  75,   0,   0,   0,
  117, 117, 117, 208, 208, 208,  97,  97,  97,   0,   0,   0,  33,  33,  33, 191, 191, 191, 156, 156, 156,   0,   0,   0, 133, 133, 133,  16,  16,  16,  36,  36,  36, 206, 206, 206, 113, 113, 113,  21,  21,  21, 193, 193, 193, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 177, 177, 177, 184, 184, 184, 158, 158, 158,   0,   0,   0, 106, 106, 106, 219, 219, 219, 192, 192, 192, 140, 140, 140, 168, 168, 168, 194, 194, 194,  42,  42,  42,  59,  59,  59,  13,  13,  13, 152, 152, 152, 164, 164, 164,
    0,   0,   0, 131, 131, 131,  27,  27,  27,   0,   0,   0, 138, 138, 138, 126, 126, 126,  18,  18,  18, 193, 193, 193, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 177, 177, 177,
  183, 183, 183, 159, 159, 159,   0,   0,   0, 106, 106, 106, 102, 102, 102,  30,  30,  30,  55,  55,  55, 140, 140, 140, 175, 175, 175,   7,   7,   7, 160, 160, 160,  34,  34,  34,  97,  97,  97, 170, 170, 170,   0,   0,   0, 130, 130, 130,  31,  31,  31,  40,  40,  40,  49,  49,  49, 115, 115, 115,  23,  23,  23,
  192, 192, 192, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 177, 177, 177, 183, 183, 183, 158, 158, 158,   0,   0,   0, 109, 109, 109, 151, 151, 151,  71,  71,  71,   0,   0,   0,
  120, 120, 120, 139, 139, 139,   0,   0,   0,  94,  94,  94,  22,  22,  22,  52,  52,  52, 165, 165, 165,   0,   0,   0, 132, 132, 132,  21,  21,  21, 127, 127, 127,  42,  42,  42,  35,  35,  35,  35,  35,  35, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 177, 177, 177, 183, 183, 183, 159, 159, 159,   0,   0,   0,  69,  69,  69, 184, 184, 184, 130, 130, 130,   0,   0,   0, 126, 126, 126,  85,  85,  85,   9,   9,   9,  65,  65,  65,  35,  35,  35,  16,  16,  16, 141, 141, 141,
    3,   3,   3, 131, 131, 131,  15,  15,  15, 144, 144, 144, 127, 127, 127,   0,   0,   0,  35,  35,  35, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  177, 177, 177, 183, 183, 183,  84,  84,  84,   1,   1,   1,  17,  17,  17,   4,   4,   4,  38,  38,  38, 171, 171, 171,  30,  30,  30,  99,  99,  99, 218, 218, 218, 162, 162, 162,  10,  10,  10, 106, 106, 106,  19,  19,  19, 134, 134, 134,  27,  27,  27, 136, 136, 136, 200, 200, 200,  33,  33,  33,  35,  35,  35,
  192, 192, 192, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 181, 181, 181, 185, 185, 185, 165, 165, 165, 163, 163, 163, 162, 162, 162, 180, 180, 180,
  187, 187, 187, 165, 165, 165, 181, 181, 181, 183, 183, 183, 185, 185, 185, 171, 171, 171, 175, 175, 175, 171, 171, 171, 183, 183, 183, 173, 173, 173, 183, 183, 183, 193, 193, 193, 181, 181, 181, 174, 174, 174, 192, 192, 192, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 180, 180, 180, 185, 185, 185, 186, 186, 186, 187, 187, 187, 183, 183, 183, 182, 182, 182, 188, 188, 188, 186, 186, 186, 184, 184, 184, 185, 185, 185, 190, 190, 190, 190, 190, 190,
  191, 191, 191, 189, 189, 189, 193, 193, 193, 190, 190, 190, 188, 188, 188, 191, 191, 191, 195, 195, 195, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 180, 180, 180, 180, 180, 180, 181, 181, 181, 182, 182, 182, 183, 183, 183, 183, 183, 183, 184, 184, 184, 184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 186, 186, 186, 187, 187, 187, 188, 188, 188, 188, 188, 188, 189, 189, 189, 188, 188, 188, 190, 190, 190,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 184, 184, 184, 182, 182, 182, 184, 184, 184, 184, 184, 184, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 186, 186, 186, 192, 192, 192, 194, 194, 194, 194, 194, 194, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 182, 188, 188, 188, 179, 179, 179, 147, 147, 147, 148, 148, 148, 152, 152, 152, 188, 188, 188, 189, 189, 189, 187, 187, 187, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  184, 184, 184, 181, 181, 181,  48,  48,  48,   0,   0,   0,  17,  17,  17,   0,   0,   0,  83,  83,  83, 194, 194, 194, 186, 186, 186, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 180, 180, 180, 190, 190, 190, 154, 154, 154,   0,   0,   0, 108, 108, 108, 196, 196, 196,  66,  66,  66,  13,  13,  13,
  185, 185, 185, 189, 189, 189, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 181, 181, 181, 190, 190, 190, 156, 156, 156,   0,   0,   0, 130, 130, 130, 215, 215, 215,  87,  87,  87,  13,  13,  13, 186, 186, 186, 189, 189, 189, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 181, 181, 181,
  190, 190, 190, 155, 155, 155,   0,   0,   0, 124, 124, 124, 207, 207, 207,  81,  81,  81,  13,  13,  13, 185, 185, 185, 189, 189, 189, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 180, 180, 180, 190, 190, 190, 154, 154, 154,   0,   0,   0, 137, 137, 137, 227, 227, 227,  90,  90,  90,  11,  11,  11,
  185, 185, 185, 189, 189, 189, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 181, 181, 181, 188, 188, 188, 161, 161, 161,   2,   2,   2,  44,  44,  44,  96,  96,  96,  19,  19,  19,  31,  31,  31, 188, 188, 188, 188, 188, 188, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  181, 181, 181, 190, 190, 190, 119, 119, 119,  40,  40,  40,  42,  42,  42,  48,  48,  48, 149, 149, 149, 194, 194, 194, 186, 186, 186, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 192, 192, 192, 196, 196, 196, 202, 202, 202, 198, 198, 198, 192, 192, 192,
  186, 186, 186, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  59,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  26,  27,  24,
   25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   9,   8,
    7,   7,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 182, 181, 181, 181, 186, 186, 186, 160, 160, 160,  77,  77,  77, 182, 182, 182, 184, 184, 184, 186, 186, 186, 187, 187, 187, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  70,  67,  66,  67,  67,  66,  68,  67,  66,  68,  66,  65,  67,  66,  65,  67,  66,  65,  67,  66,  65,  66,  65,  64,  66,  65,  64,  66,  65,  64,  66,  64,  63,  65,  64,  63,  65,  64,  63,  65,  64,  63,  65,  63,  62,  64,  63,  62,  64,
   63,  62,  64,  63,  62,  63,  62,  61,  63,  62,  61,  63,  62,  60,  64,  60,  67,  55,  60,  64,  58,  61,  59,  63,  61,  60,  62,  60,  59,  61,  60,  59,  61,  60,  59,  61,  60,  59,  60,  59,  58,  60,  59,  58,  60,  59,  58,  60,  58,  57,  59,  58,  57,  59,  58,  57,  59,  58,  57,  59,  57,  56,  58,
   57,  56,  58,  57,  56,  58,  57,  56,  57,  56,  55,  57,  56,  55,  57,  56,  55,  57,  56,  55,  56,  55,  54,  56,  55,  54,  56,  55,  54,  56,  54,  53,  55,  54,  53,  55,  54,  53,  55,  54,  53,  54,  53,  52,  54,  53,  52,  54,  53,  51,  55,  52,  58,  48,  52,  57,  48,  52,  50,  54,  52,  51,  53,
   51,  50,  52,  51,  50,  52,  51,  50,  52,  51,  50,  51,  50,  49,  51,  50,  49,  51,  50,  49,  51,  49,  48,  50,  49,  48,  50,  49,  48,  50,  49,  48,  50,  48,  47,  49,  48,  47,  49,  48,  47,  49,  48,  47,  48,  47,  46,  48,  47,  46,  48,  47,  46,  48,  46,  45,  47,  46,  45,  47,  46,  45,  47,
   46,  45,  47,  45,  44,  46,  45,  44,  46,  45,  44,  46,  45,  44,  45,  44,  43,  45,  44,  43,  45,  44,  42,  45,  43,  47,  41,  43,  51,  39,  43,  41,  44,  43,  42,  43,  42,  41,  43,  42,  41,  43,  42,  41,  43,  41,  40,  42,  41,  40,  42,  41,  40,  42,  41,  40,  42,  40,  39,  41,  40,  39,  41,
   40,  39,  41,  40,  39,  41,  39,  38,  40,  39,  38,  39,  39,  38,  40,  39,  38,  39,  38,  37,  38,  38,  37,  39,  38,  37,  39,  37,  36,  38,  37,  36,  37,  37,  36,  38,  37,  36,  37,  36,  35,  37,  36,  35,  36,  36,  35,  37,  35,  34,  36,  35,  34,  35,  35,  34,  35,  35,  33,  36,  34,  36,  34,
   35,  44,  30,  34,  33,  35,  34,  33,  35,  33,  32,  34,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  33,  31,  30,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,  30,  29,  31,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  30,
   28,  27,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  28,  27,  26,  27,  27,  26,  27,  26,  25,  27,  26,  25,  26,  26,  25,  26,  26,  24,  26,  25,  25,  26,  28,  37,  22,  25,  26,  25,  25,  23,  26,  24,  23,  25,  24,  23,  24,  24,  23,  24,  24,  23,  24,  23,  22,  23,  23,  22,  23,
   23,  22,  23,  22,  21,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  19,  21,  21,  20,  21,  20,  19,  21,  20,  19,  20,  20,  19,  20,  20,  19,  20,  19,  18,  20,  18,  17,  19,  19,  18,  19,  19,  18,  19,  18,  17,  18,  18,  17,  18,  18,  17,  18,  17,  16,  18,  17,  16,  17,
   17,  16,  17,  17,  16,  17,  16,  14,  17,  19,  28,  14,  17,  19,  16,  15,  14,  16,  15,  14,  15,  15,  13,  15,  15,  14,  15,  14,  13,  15,  13,  12,  14,  13,  12,  14,  14,  13,  14,  13,  12,  14,  12,  11,  13,  13,  11,  13,  12,  11,  13,  12,  11,  12,  11,  10,  12,  12,  11,  12,  11,  10,  12,
   10,   9,  11,  10,   9,  11,  11,  10,  11,  10,   9,  11,   9,   8,  10,   9,   8,  10,  10,   8,  10,   9,   8,   9,   8,   7,   9,   8,   7,   9,   8,   7,   9,   8,   7,   8,   7,   6,   8,   8,   7,   8,   7,   5,   8,  11,  17,   6,  10,  14,   7,   6,   4,   7,   6,   5,   6,   5,   4,   6,   5,   4,   6,
    5,   4,   6,   4,   3,   5,   4,   3,   5,   4,   3,   5,   4,   3,   5,   3,   2,   4,   3,   2,   4,   3,   2,   4,   3,   2,   3,   2,   1,   3,   2,   1,   3,   2,   1,   3,   1,   0,   2,   1,   0,   2,   1,   0,   2,   1,   0,   2,   0,   0,   1,   0,   0,   1,   1,   0,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 176, 176, 176, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 179, 179, 179, 179, 179, 179, 181, 181, 181,
  184, 184, 184, 188, 188, 188, 200, 200, 200, 162, 162, 162,  37,  37,  37, 193, 193, 193, 196, 196, 196, 191, 191, 191, 189, 189, 189, 187, 187, 187, 185, 185, 185, 187, 187, 187, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  62,  67,  60,  67,  73,  63,  65,  71,  61,  65,  71,  62,
   65,  71,  61,  65,  71,  60,  65,  71,  61,  65,  71,  61,  64,  70,  60,  64,  70,  59,  64,  70,  60,  64,  70,  59,  63,  69,  59,  63,  69,  59,  63,  69,  59,  63,  69,  58,  62,  68,  58,  62,  68,  58,  62,  68,  58,  61,  67,  58,  61,  67,  57,  61,  67,  57,  61,  66,  58,  59,  72,  50,  59,  69,  53,
   60,  65,  57,  60,  66,  56,  59,  65,  55,  59,  65,  55,  59,  65,  55,  59,  64,  55,  58,  64,  54,  58,  64,  54,  58,  64,  54,  57,  64,  53,  57,  63,  53,  57,  64,  53,  57,  63,  53,  56,  62,  52,  56,  62,  52,  57,  63,  52,  56,  62,  52,  55,  61,  51,  55,  61,  51,  56,  62,  51,  55,  61,  51,
   54,  60,  51,  54,  60,  51,  54,  60,  51,  54,  60,  50,  53,  59,  50,  54,  60,  50,  53,  59,  49,  52,  58,  49,  52,  59,  48,  53,  58,  49,  52,  64,  44,  51,  64,  43,  52,  57,  48,  51,  58,  47,  51,  57,  47,  51,  57,  47,  51,  57,  47,  51,  57,  47,  50,  56,  46,  50,  56,  46,  50,  56,  46,
   49,  55,  45,  49,  55,  45,  49,  55,  45,  49,  55,  45,  48,  54,  44,  48,  54,  44,  48,  54,  44,  48,  54,  44,  47,  53,  43,  47,  53,  43,  47,  53,  43,  46,  53,  43,  46,  52,  42,  46,  52,  42,  46,  52,  42,  45,  51,  42,  45,  51,  41,  45,  51,  42,  45,  51,  41,  45,  50,  40,  45,  50,  40,
   45,  49,  41,  44,  54,  37,  44,  58,  35,  44,  49,  40,  43,  50,  39,  43,  49,  38,  43,  49,  38,  43,  49,  39,  42,  48,  38,  41,  47,  37,  42,  48,  37,  42,  48,  38,  41,  47,  37,  40,  47,  37,  41,  47,  37,  41,  47,  37,  40,  46,  36,  40,  46,  36,  40,  46,  36,  39,  46,  36,  39,  45,  35,
   39,  45,  35,  39,  45,  35,  38,  44,  34,  38,  44,  34,  38,  44,  34,  38,  44,  34,  37,  43,  33,  37,  43,  33,  37,  43,  33,  37,  43,  33,  36,  42,  32,  36,  42,  32,  36,  42,  32,  36,  44,  30,  37,  51,  27,  35,  41,  31,  35,  41,  31,  34,  41,  31,  34,  40,  31,  34,  40,  31,  34,  40,  30,
   33,  39,  30,  33,  39,  30,  33,  39,  30,  33,  39,  29,  32,  38,  28,  32,  38,  29,  32,  38,  29,  32,  38,  28,  31,  37,  27,  31,  37,  28,  31,  37,  27,  31,  36,  27,  31,  36,  27,  31,  36,  27,  30,  36,  26,  30,  36,  25,  30,  36,  26,  30,  36,  26,  29,  35,  25,  29,  35,  25,  29,  35,  25,
   28,  35,  25,  28,  34,  24,  28,  34,  24,  28,  34,  24,  28,  34,  23,  30,  45,  20,  27,  35,  23,  27,  33,  23,  26,  32,  22,  26,  32,  22,  26,  32,  22,  26,  32,  22,  25,  31,  21,  25,  31,  21,  25,  31,  21,  24,  30,  21,  24,  30,  20,  24,  30,  20,  24,  30,  20,  23,  30,  20,  23,  29,  19,
   23,  30,  19,  23,  29,  19,  22,  28,  18,  22,  28,  18,  23,  29,  18,  22,  28,  18,  21,  27,  17,  21,  27,  17,  21,  27,  17,  21,  27,  17,  20,  26,  17,  20,  26,  17,  20,  26,  17,  20,  26,  16,  19,  25,  16,  20,  26,  16,  19,  24,  15,  22,  36,  13,  20,  29,  14,  18,  24,  15,  18,  24,  14,
   17,  24,  14,  17,  24,  14,  17,  24,  14,  17,  23,  13,  17,  23,  13,  17,  23,  13,  16,  22,  12,  16,  22,  12,  16,  22,  12,  16,  22,  12,  15,  21,  11,  15,  21,  11,  15,  21,  11,  15,  21,  11,  14,  20,  10,  14,  20,  10,  14,  20,  10,  14,  20,  10,  13,  19,   9,  13,  19,   9,  13,  19,   9,
   12,  18,   9,  12,  18,   8,  12,  18,   8,  12,  18,   8,  11,  17,   8,  11,  17,   7,  11,  18,   8,  11,  16,   7,  14,  27,   6,  13,  24,   6,  10,  15,   7,  10,  16,   6,   9,  16,   5,  10,  16,   5,  10,  16,   5,   9,  15,   5,   9,  15,   4,   9,  15,   5,   8,  14,   4,   7,  13,   3,   8,  14,   3,
    8,  14,   3,   7,  13,   3,   6,  13,   3,   7,  13,   3,   6,  13,   3,   6,  12,   2,   6,  12,   2,   6,  12,   2,   6,  12,   2,   5,  11,   1,   5,  12,   1,   3,   6,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 176, 176, 176, 179, 179, 179, 185, 185, 185, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 183, 183, 183, 191, 191, 191, 195, 195, 195, 189, 189, 190, 178, 178, 181, 159, 159, 163, 153, 153, 158, 119, 119, 122,  30,  30,  31, 142, 142, 146, 152, 152, 156,
  169, 169, 172, 185, 185, 188, 198, 198, 199, 202, 202, 202, 197, 197, 197, 189, 189, 189, 188, 188, 188, 190, 190, 190, 191, 191, 191, 191, 191, 191, 201, 201, 201, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  62,  68,  59,  67,  74,  62,  65,  72,  60,  65,  72,  61,  65,  72,  60,  64,  71,  60,  64,  71,  60,  64,  72,  60,  64,  71,  59,  63,  70,  58,  63,  70,  59,
   63,  70,  59,  62,  70,  58,  62,  70,  58,  62,  70,  58,  62,  70,  58,  62,  69,  57,  62,  69,  57,  62,  69,  57,  61,  68,  57,  61,  68,  56,  61,  68,  56,  61,  67,  57,  59,  73,  49,  59,  70,  52,  60,  66,  56,  59,  67,  55,  59,  66,  54,  59,  66,  54,  59,  66,  54,  58,  65,  54,  58,  65,  53,
   58,  65,  53,  58,  65,  53,  57,  64,  52,  57,  64,  52,  57,  65,  52,  57,  64,  52,  56,  63,  51,  56,  63,  52,  56,  64,  52,  56,  63,  51,  55,  62,  50,  55,  62,  51,  55,  63,  51,  55,  62,  50,  54,  61,  50,  54,  61,  50,  54,  61,  50,  53,  61,  49,  53,  60,  49,  53,  61,  49,  53,  60,  49,
   52,  59,  48,  52,  60,  48,  52,  59,  49,  52,  65,  43,  51,  65,  43,  51,  58,  48,  51,  59,  47,  51,  58,  46,  51,  58,  46,  51,  58,  46,  51,  58,  46,  50,  57,  45,  50,  57,  45,  50,  57,  45,  49,  56,  44,  49,  56,  44,  49,  56,  44,  49,  56,  44,  48,  55,  44,  48,  55,  43,  48,  55,  44,
   48,  55,  43,  47,  54,  42,  47,  54,  42,  47,  54,  43,  46,  54,  42,  46,  53,  41,  46,  53,  41,  46,  53,  41,  45,  53,  41,  45,  52,  41,  45,  53,  41,  45,  52,  40,  45,  51,  40,  45,  52,  40,  45,  51,  40,  44,  55,  37,  44,  59,  34,  44,  50,  39,  44,  51,  39,  43,  50,  38,  43,  50,  38,
   43,  50,  38,  42,  49,  37,  42,  49,  37,  42,  49,  37,  42,  49,  37,  41,  48,  36,  41,  48,  36,  41,  48,  36,  41,  48,  36,  40,  47,  36,  40,  47,  35,  40,  47,  36,  39,  47,  35,  39,  46,  34,  39,  46,  34,  39,  46,  35,  38,  45,  34,  38,  45,  33,  38,  45,  33,  38,  45,  33,  37,  44,  32,
   37,  44,  32,  37,  44,  33,  37,  44,  32,  36,  43,  31,  36,  43,  31,  36,  43,  32,  36,  45,  30,  37,  52,  26,  35,  42,  31,  35,  42,  30,  34,  42,  30,  34,  42,  30,  34,  42,  30,  34,  42,  30,  34,  41,  29,  34,  41,  29,  34,  41,  29,  33,  40,  29,  33,  40,  28,  33,  40,  28,  33,  40,  28,
   32,  39,  27,  32,  39,  27,  32,  39,  27,  32,  39,  27,  31,  38,  26,  31,  38,  26,  31,  38,  26,  30,  37,  26,  30,  37,  25,  30,  37,  25,  30,  37,  25,  29,  36,  25,  29,  36,  24,  29,  36,  24,  29,  36,  24,  28,  35,  24,  28,  35,  24,  28,  35,  24,  28,  36,  23,  30,  46,  20,  28,  36,  22,
   27,  34,  23,  27,  34,  22,  26,  33,  22,  26,  33,  22,  26,  33,  22,  25,  32,  21,  25,  32,  21,  25,  32,  21,  25,  32,  20,  24,  31,  20,  24,  31,  20,  24,  31,  20,  24,  31,  19,  24,  31,  19,  24,  31,  19,  23,  31,  19,  23,  30,  18,  23,  30,  18,  23,  30,  18,  22,  29,  18,  22,  29,  17,
   22,  29,  17,  22,  29,  17,  21,  28,  16,  21,  28,  16,  21,  28,  16,  21,  28,  16,  20,  27,  15,  20,  27,  15,  20,  27,  15,  19,  26,  15,  22,  38,  12,  20,  30,  14,  19,  25,  15,  18,  26,  14,  18,  25,  14,  18,  25,  14,  18,  25,  14,  18,  25,  13,  18,  25,  13,  18,  25,  13,  17,  24,  12,
   16,  24,  12,  17,  24,  12,  17,  24,  12,  16,  23,  11,  15,  23,  11,  16,  23,  11,  15,  22,  11,  14,  22,  10,  15,  22,  10,  15,  22,  10,  14,  21,  10,  13,  21,   9,  14,  21,   9,  14,  21,   9,  13,  20,   9,  12,  20,   8,  13,  20,   8,  13,  20,   8,  12,  19,   8,  12,  19,   7,  12,  19,   7,
   11,  17,   7,  15,  29,   6,  14,  26,   6,  11,  17,   7,  11,  18,   6,  10,  17,   5,  10,  17,   5,  10,  17,   5,   9,  16,   4,   9,  16,   4,   9,  16,   4,   9,  16,   4,   8,  15,   3,   8,  15,   3,   8,  15,   3,   7,  15,   3,   7,  15,   3,   7,  15,   3,   7,  15,   3,   7,  14,   2,   7,  14,   2,
    7,  14,   2,   6,  13,   2,   5,  12,   1,   6,  13,   1,   3,   7,   1,   1,   1,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 179, 179, 179, 166, 166, 166, 141, 141, 141, 183, 183, 183,
  174, 174, 174, 186, 186, 185, 194, 194, 194, 176, 176, 178, 134, 134, 138,  89,  89,  90,  47,  47,  40,  22,  22,   8,   5,   5,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   9,   9,   0,  26,  26,  13,  59,  59,  55, 102, 102, 104, 152, 152, 156, 192, 192, 193, 204, 204, 204,
  195, 195, 195, 189, 189, 189, 190, 190, 190, 148, 148, 148, 192, 192, 192, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  63,  64,  69,  68,  70,  67,  66,  67,  67,  66,  68,  67,  66,  68,  66,  65,  67,  66,  65,  67,  66,  65,  67,  66,  65,  66,  65,  64,  66,  65,  64,  66,  65,  64,  66,  64,  63,  65,  64,  63,  65,  64,  63,  65,  64,  63,  65,  63,  62,  64,  63,  62,  64,
   63,  62,  64,  63,  62,  63,  62,  61,  63,  62,  61,  63,  62,  60,  64,  60,  67,  55,  60,  64,  58,  61,  59,  63,  61,  60,  62,  60,  59,  61,  60,  59,  61,  60,  59,  61,  60,  59,  60,  59,  58,  60,  59,  58,  60,  59,  58,  60,  58,  57,  59,  58,  57,  59,  58,  57,  59,  58,  57,  59,  57,  56,  58,
   57,  56,  58,  57,  56,  58,  57,  56,  57,  56,  55,  57,  56,  55,  57,  56,  55,  57,  56,  55,  56,  55,  54,  56,  55,  54,  56,  55,  54,  56,  54,  53,  55,  54,  53,  55,  54,  53,  55,  54,  53,  55,  53,  52,  54,  53,  52,  54,  53,  51,  55,  52,  58,  48,  51,  57,  48,  52,  50,  54,  52,  51,  53,
   51,  50,  52,  51,  50,  52,  51,  50,  52,  51,  50,  51,  50,  49,  51,  50,  49,  51,  50,  49,  51,  49,  48,  50,  49,  48,  50,  49,  48,  50,  49,  48,  50,  48,  47,  49,  48,  47,  49,  48,  47,  49,  48,  47,  48,  47,  46,  48,  47,  46,  48,  47,  46,  48,  46,  45,  47,  46,  45,  47,  46,  45,  47,
   46,  45,  47,  45,  44,  46,  45,  44,  46,  45,  44,  46,  45,  44,  45,  44,  43,  45,  44,  43,  45,  44,  42,  45,  43,  47,  41,  43,  51,  39,  43,  41,  44,  43,  42,  43,  42,  41,  43,  42,  41,  43,  42,  41,  43,  41,  40,  42,  41,  40,  42,  41,  40,  42,  41,  40,  42,  40,  39,  41,  40,  39,  41,
   40,  39,  41,  40,  39,  41,  39,  38,  40,  39,  38,  39,  39,  38,  40,  39,  37,  39,  38,  37,  38,  38,  37,  39,  38,  37,  39,  37,  36,  38,  37,  36,  37,  37,  36,  38,  37,  36,  37,  36,  35,  37,  36,  35,  36,  36,  35,  37,  35,  34,  36,  35,  34,  35,  35,  34,  35,  35,  33,  36,  34,  36,  34,
   35,  44,  30,  34,  33,  35,  34,  33,  35,  33,  32,  34,  33,  32,  33,  33,  32,  33,  33,  32,  33,  32,  31,  32,  32,  31,  32,  32,  31,  33,  31,  30,  32,  31,  30,  31,  31,  30,  31,  31,  30,  31,  30,  29,  31,  30,  29,  30,  30,  29,  30,  30,  29,  30,  29,  28,  29,  29,  28,  29,  29,  28,  30,
   28,  27,  29,  28,  27,  28,  28,  27,  28,  28,  27,  28,  27,  26,  28,  27,  26,  27,  27,  26,  27,  26,  25,  27,  26,  25,  26,  26,  25,  26,  26,  24,  26,  25,  25,  26,  28,  37,  22,  25,  26,  25,  25,  23,  26,  24,  23,  25,  24,  23,  24,  24,  23,  24,  24,  22,  24,  23,  22,  23,  23,  22,  23,
   23,  22,  23,  22,  21,  23,  22,  21,  22,  22,  21,  22,  22,  21,  22,  21,  20,  21,  21,  19,  21,  21,  20,  21,  20,  19,  21,  20,  18,  20,  20,  19,  20,  20,  19,  20,  19,  18,  20,  18,  17,  19,  19,  18,  19,  19,  17,  19,  18,  17,  18,  18,  16,  18,  18,  17,  18,  17,  16,  18,  17,  16,  17,
   17,  16,  17,  17,  16,  17,  16,  14,  17,  19,  28,  14,  17,  19,  16,  15,  14,  16,  15,  14,  15,  15,  13,  15,  15,  14,  15,  14,  13,  15,  13,  12,  14,  13,  12,  14,  14,  13,  14,  13,  12,  14,  12,  11,  13,  12,  11,  13,  12,  11,  13,  12,  11,  12,  11,  10,  12,  12,  10,  12,  11,  10,  12,
   10,   9,  11,  10,   9,  11,  11,  10,  11,  10,   9,  11,   9,   8,  10,   9,   8,  10,  10,   8,  10,   9,   8,   9,   8,   7,   9,   8,   7,   9,   8,   7,   9,   8,   7,   8,   7,   6,   8,   8,   7,   8,   7,   5,   8,  11,  17,   6,   9,  14,   7,   6,   4,   7,   6,   5,   6,   5,   4,   6,   5,   4,   6,
    5,   4,   6,   4,   3,   5,   4,   3,   5,   4,   3,   5,   4,   3,   5,   3,   2,   4,   3,   2,   4,   3,   2,   4,   3,   2,   3,   2,   1,   3,   2,   1,   3,   2,   1,   3,   1,   0,   2,   1,   0,   2,   1,   0,   2,   1,   0,   2,   0,   0,   1,   0,   0,   1,   1,   0,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 180, 180, 180, 164, 164, 164,  22,  22,  22, 151, 151, 151, 196, 196, 197, 150, 150, 153,  83,  83,  84,  23,  23,  15,   0,   0,   0,   0,   0,   0,   0,   0,  18,
    0,   0,  62,   0,   0, 101,   0,   0, 136,   1,   1, 123,   0,   0,  31,   1,   1, 142,   0,   0, 127,   0,   0,  91,   0,   0,  52,   0,   0,   8,   0,   0,   0,   2,   2,   0,  34,  34,  27, 103, 103, 107, 173, 173, 176, 217, 217, 217, 118, 118, 118,  44,  44,  44, 201, 201, 201, 193, 193, 193, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  66,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  56,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  47,  51,  59,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  44,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  26,  27,  24,  25,  25,  25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  21,  15,  16,  15,  16,  15,  16,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   9,   8,   7,   7,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 177, 177, 177, 172, 172, 172, 192, 192, 192, 110, 110, 110,  45,  45,  47,  78,  78,  75,   3,   3,   0,   0,   0,   0,   0,   0,  37,   1,   1, 132,   3,   3, 202,   2,   2, 246,   1,   1, 255,   1,   1, 253,   0,   0, 255,   0,   0, 216,   0,   0,  54,   0,   0, 253,   0,   0, 255,
    1,   1, 254,   1,   1, 255,   3,   3, 238,   3,   3, 189,   1,   1, 106,   0,   0,  22,   0,   0,   0,  12,  12,   7,  91,  91,  91,  36,  36,  38, 159, 159, 159, 202, 202, 202, 191, 191, 191, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 173, 173, 173, 183, 183, 183, 178, 178, 179,  89,  89,  92,   0,   0,   0,
    0,   0,   2,   1,   1,  71,   3,   3, 193,   1,   1, 253,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 253,   0,   0, 249,   0,   0, 255,   0,   0, 212,   0,   0,  51,   0,   0, 249,   0,   0, 252,   0,   0, 251,   0,   0, 254,   0,   0, 255,   0,   0, 254,   0,   0, 255,   2,   2, 247,   3,   3, 166,
    1,   1,  51,   0,   0,   0,   8,   8,   8, 122, 122, 125, 203, 203, 204, 197, 197, 197, 191, 191, 191, 195, 195, 195, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 173, 173, 173, 187, 187, 187, 154, 154, 155,  35,  35,  36,   0,   0,   0,   3,   3,  32,   3,   3,  52,   0,   0, 247,   0,   0, 255,   0,   0, 253,   0,   0, 251,   0,   0, 252,   0,   0, 254,
    0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0, 254,   0,   0, 252,   0,   0, 251,   0,   0, 253,   0,   0, 255,   1,   1, 210,   3,   3,  30,   2,   2,  35,   0,   0,   0,  64,  64,  67, 186, 186, 187, 202, 202, 202,
  191, 191, 191, 195, 195, 195, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  172, 172, 172, 189, 189, 188, 126, 126, 129,  10,  10,  11,   0,   0,   0,   3,   3, 128,   0,   0, 255,   0,   0,  76,   0,   0, 134,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0,  80,   0,   0, 130,   1,   1, 255,   3,   3,  89,   0,   0,   0,  31,  31,  34, 170, 170, 171, 204, 204, 204, 191, 191, 191, 196, 196, 196, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 171, 171, 171, 186, 186, 186, 116, 116, 119,   2,   2,   0,   0,   0,  21,   2,   2, 188,   0,   0, 255,   0,   0, 255,
    0,   0, 211,   0,   0,  35,   0,   0, 230,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0, 255,   0,   0, 183,
    0,   0,  44,   0,   0, 249,   0,   0, 255,   0,   0, 255,   3,   3, 151,   0,   0,   0,  16,  16,  17, 160, 160, 161, 205, 205, 205, 192, 192, 192, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 171, 171, 171, 186, 186, 186, 119, 119, 122,   0,   0,   0,   1,   1,  31,   1,   1, 214,   0,   0, 255,   0,   0, 250,   0,   0, 250,   0,   0, 255,   0,   0, 111,   0,   0,  97,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0, 255,
    0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0,  55,   0,   0, 168,   0,   0, 255,   0,   0, 250,   0,   0, 251,   0,   0, 255,   3,   3, 179,   0,   0,   4,
   17,  17,  17, 166, 166, 167, 204, 204, 203, 193, 193, 193, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 172, 172, 172, 171, 171, 171, 170, 170, 170, 183, 183, 182, 138, 138, 140,
    6,   6,   2,   0,   0,  26,   1,   1, 219,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0, 241,   0,   0,  40,   0,   0, 201,   0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0, 255,   0,   0, 146,   0,   0,  68,   0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 250,   0,   0, 255,   3,   3, 178,   0,   0,   0,  27,  27,  28, 184, 184, 185, 200, 200, 200, 193, 193, 193, 195, 195, 195, 196, 196, 196,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 171, 171, 171, 177, 177, 177, 185, 185, 185, 179, 179, 179, 165, 165, 166,  24,  24,  22,   0,   0,   6,   2,   2, 200,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0, 255,   0,   0, 255,
    0,   0, 252,   0,   0, 255,   0,   0, 149,   0,   0,  65,   0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0, 237,   0,   0,  38,   0,   0, 203,
    0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 250,   0,   0, 255,   3,   3, 157,   0,   0,   0,  60,  60,  63, 202, 202, 202, 202, 202, 202, 211, 211, 211, 199, 199, 199, 197, 197, 197, 199, 199, 199, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  170, 170, 170, 181, 181, 181,  90,  90,  90,  71,  71,  71, 175, 175, 175,  65,  65,  67,   0,   0,   0,   3,   3, 156,   0,   0, 255,   0,   0, 250,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0,  56,   0,   0, 162,   0,   0, 255,   0,   0, 252,
    0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0, 105,   0,   0, 101,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 251,
    0,   0, 255,   3,   3, 105,   0,   0,   0, 116, 116, 119, 188, 188, 188,  59,  59,  59, 137, 137, 137, 208, 208, 208, 196, 196, 196, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 171, 171, 171, 174, 174, 174, 150, 150, 150,  58,  58,  58,  26,  26,  30,   5,   5,   0,   0,   0,  97,
    0,   0, 255,   0,   0, 248,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 188,   0,   0,  43,   0,   0, 247,   0,   0, 255,   0,   0, 254,   0,   0, 253,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,
    0,   0, 254,   0,   0, 253,   0,   0, 255,   0,   0, 209,   0,   0,  38,   0,   0, 234,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0, 252,   0,   0, 250,   0,   0,  46,  13,  13,   4,  31,  31,  34,  87,  87,  87, 187, 187, 187,
  199, 199, 199, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 170, 170, 170, 179, 179, 179, 183, 183, 183,  29,  29,  30,   0,   0,   0,   1,   1,  58,   0,   0, 201,   0,   0, 255,   0,   0, 253,   0,   0, 252,   0,   0, 254,   0,   0, 255,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0, 255,   0,   0,  86,   0,   0, 125,   0,   0, 255,   0,   0, 251,   0,   0, 253,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,   0,   0, 254,   0,   0, 252,   0,   0, 255,   0,   0,  73,   0,   0, 140,   0,   0, 255,   0,   0, 251,
    0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 252,   0,   0, 255,   0,   0, 255,   0,   0, 171,   3,   3,  33,   0,   0,   0,  74,  74,  75, 223, 223, 223, 197, 197, 197, 196, 196, 196, 199, 199, 199, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 169, 169, 169, 182, 182, 182, 114, 114, 117,   0,   0,   0,   2,   2, 129,   0,   0, 172,   0,   0,  27,   0,   0,  90,   0,   0, 231,   0,   0, 255,   0,   0, 253,   0,   0, 252,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0, 221,   0,   0,  36,   0,   0, 223,
    0,   0, 255,   0,   0, 252,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,   0,   0, 252,   0,   0, 255,   0,   0, 173,   0,   0,  49,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 252,   0,   0, 253,   0,   0, 255,   0,   0, 206,
    0,   0,  60,   0,   0,  44,   1,   1, 197,   0,   0,  71,   8,   8,   0, 169, 169, 172, 202, 202, 202, 196, 196, 196, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 170, 170, 170, 176, 176, 178,  42,  42,  39,   0,   0,   9,   2,   2, 229,   0,   0, 255,
    0,   0, 242,   0,   0, 114,   0,   0,  26,   0,   0, 131,   0,   0, 249,   0,   0, 255,   0,   0, 252,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0, 121,   0,   0,  86,   0,   0, 255,   0,   0, 250,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 255,
    0,   0, 255,   0,   0, 252,   0,   0,  47,   0,   0, 178,   0,   0, 255,   0,   0, 252,   0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0, 252,   0,   0, 255,   0,   0, 234,   0,   0,  96,   0,   0,  29,   0,   0, 149,   0,   0, 251,   0,   0, 255,   3,   3, 181,   0,   0,   0,  89,  89,  91, 209, 209, 210,
  194, 194, 194, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 170, 170, 170, 179, 179, 179, 139, 139, 142,   0,   0,   0,   0,   0, 104,   0,   0, 255,   0,   0, 248,   0,   0, 253,   0,   0, 255,   0,   0, 220,   0,   0,  75,   0,   0,  37,   0,   0, 172,   0,   0, 255,
    0,   0, 254,   0,   0, 252,   0,   0, 254,   0,   0, 255,   0,   0, 255,   0,   0, 246,   0,   0,  42,   0,   0, 188,   0,   0, 255,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 253,   0,   0, 252,   0,   0, 255,   0,   0, 133,   0,   0,  77,   0,   0, 255,   0,   0, 252,   0,   0, 255,   0,   0, 253,
    0,   0, 252,   0,   0, 255,   0,   0, 251,   0,   0, 137,   0,   0,  27,   0,   0, 107,   0,   0, 240,   0,   0, 255,   0,   0, 252,   0,   0, 252,   1,   1, 255,   0,   0,  48,  25,  25,  14, 190, 190, 192, 199, 199, 199, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 155, 155, 155, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  169, 169, 169, 183, 183, 183,  83,  83,  85,   0,   0,   0,   3,   3, 190,   0,   0, 255,   0,   0, 252,   0,   0, 254,   0,   0, 252,   0,   0, 254,   0,   0, 255,   0,   0, 186,   0,   0,  45,   0,   0,  63,   0,   0, 209,   0,   0, 255,   0,   0, 253,   0,   0, 252,   0,   0, 251,   0,   0, 255,   0,   0, 162,
    0,   0,  58,   0,   0, 255,   0,   0, 255,   0,   0, 215,   0,   0,  52,   0,   0, 252,   0,   0, 255,   0,   0, 230,   0,   0,  37,   0,   0, 214,   0,   0, 255,   0,   0, 252,   0,   0, 252,   0,   0, 254,   0,   0, 255,   0,   0, 178,   0,   0,  40,   0,   0,  69,   0,   0, 215,   0,   0, 255,   0,   0, 253,
    0,   0, 252,   0,   0, 255,   0,   0, 251,   0,   0, 255,   2,   2, 136,   0,   0,   0, 143, 143, 147, 208, 208, 208, 196, 196, 196, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 191, 191, 191, 110, 110, 110,   0,   0,   0,  64,  64,  64,  69,  69,  69,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  22,  22,  22, 154, 154, 154, 160, 160, 160, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 171, 171, 171, 175, 175, 176,  37,  37,  29,   0,   0,  26,   2,   2, 248,   0,   0, 255,   0,   0, 254,
    0,   0, 255,   0,   0, 255,   0,   0, 253,   0,   0, 252,   0,   0, 255,   0,   0, 254,   0,   0, 146,   0,   0,  29,   0,   0,  99,   0,   0, 236,   0,   0, 255,   0,   0, 252,   0,   0, 250,   0,   0, 255,   0,   0,  64,   0,   0, 150,   0,   0, 255,   0,   0, 212,   0,   0,  52,   0,   0, 250,   0,   0, 255,
    0,   0,  95,   0,   0, 111,   0,   0, 255,   0,   0, 248,   0,   0, 253,   0,   0, 255,   0,   0, 214,   0,   0,  68,   0,   0,  41,   0,   0, 180,   0,   0, 255,   0,   0, 254,   0,   0, 252,   0,   0, 254,   0,   0, 255,   0,   0, 255,   0,   0, 253,   0,   0, 255,   3,   3, 210,   0,   0,   0,  81,  81,  80,
  210, 210, 210, 196, 196, 196, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173, 190, 190, 190, 113, 113, 113,   0,   0,   0,  63,  63,  63,  69,  69,  69,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,
   42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,
   25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,  25,  25,  25, 156, 156, 156, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 169, 169, 169, 176, 176, 176, 154, 154, 157,   9,   9,   0,   0,   0,  86,   1,   1, 255,   0,   0, 252,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0, 252,   0,   0, 255,
    0,   0, 239,   0,   0, 104,   0,   0,  28,   0,   0, 141,   0,   0, 252,   0,   0, 253,   0,   0, 255,   0,   0, 196,   0,   0,  37,   0,   0, 250,   0,   0, 218,   0,   0,  49,   0,   0, 255,   0,   0, 199,   0,   0,  38,   0,   0, 239,   0,   0, 255,   0,   0, 255,   0,   0, 239,   0,   0, 105,   0,   0,  27,
    0,   0, 139,   0,   0, 252,   0,   0, 255,   0,   0, 252,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 255,   2,   2, 254,   0,   0,  32,  40,  40,  31, 200, 200, 202, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  188, 188, 188, 132, 132, 132,   0,   0,   0,  56,  56,  56,  70,  70,  70,  66,  66,  66,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,  61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,
   36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   0,   0,   0,
   39,  39,  39, 163, 163, 163, 158, 158, 158, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 168, 168, 168,
  181, 181, 181, 124, 124, 128,   0,   0,   0,   1,   1, 147,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0, 253,   0,   0, 255,   0,   0, 213,   0,   0,  67,   0,   0,  42,   0,   0, 182,   0,   0, 255,
    0,   0, 255,   0,   0,  90,   0,   0, 120,   0,   0, 232,   0,   0,  47,   0,   0, 255,   0,   0,  63,   0,   0, 148,   0,   0, 255,   0,   0, 250,   0,   0, 147,   0,   0,  29,   0,   0,  98,   0,   0, 235,   0,   0, 255,   0,   0, 252,   0,   0, 252,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 252,   1,   1, 255,   0,   0,  82,  13,  13,   0, 181, 181, 184, 202, 202, 202, 197, 197, 197, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 174, 174, 174, 182, 182, 182, 167, 167, 167,  12,  12,  12,  29,  29,  29,  74,  74,  74,  65,  65,  65,  67,  67,  67,
   67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  61,  63,  60,  68,  54,  60,  65,  57,
   61,  60,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,
   55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  52,  54,  52,  59,  48,  51,  58,  47,  52,  51,  53,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,
   44,  43,  45,  44,  48,  41,  44,  52,  38,  43,  42,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,
   38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  34,  35,  35,  37,  33,  36,  45,  29,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  28,  38,  22,  25,  27,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  17,  20,  29,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   6,   8,  11,  19,   6,  10,  16,   7,   7,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   3,   3,   3,   0,   0,   0,  79,  79,  79, 169, 169, 169, 156, 156, 156, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 168, 168, 168, 184, 184, 184, 100, 100, 102,   0,   0,   0,   3,   3, 187,   0,   0, 255,   0,   0, 252,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 253,   0,   0, 251,   0,   0, 254,   0,   0, 255,   0,   0, 177,   0,   0,  40,   0,   0,  69,   0,   0, 220,   0,   0, 239,   0,   0,  48,   0,   0, 168,   0,   0,  79,   0,   0, 156,   0,   0,  64,
    0,   0, 255,   0,   0, 185,   0,   0,  45,   0,   0,  61,   0,   0, 207,   0,   0, 255,   0,   0, 253,   0,   0, 251,   0,   0, 254,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 251,   0,   0, 255,   1,   1, 133,   0,   0,   0,
  153, 153, 157, 207, 207, 208, 196, 196, 196, 199, 199, 199, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 176, 176, 176, 189, 189, 189,  86,  86,  86,   0,   0,   0,  56,  56,  56,  73,  73,  73,  67,  67,  67,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  60,  62,  59,  67,  54,  59,  64,  56,  60,  59,  61,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  51,  53,  51,  58,  47,  51,  58,  46,  51,  50,  52,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  43,  42,  44,  43,  47,  40,  43,  51,  37,  42,  42,  43,  42,  42,  42,  41,  41,  41,  41,  41,  41,
   41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,
   35,  35,  35,  36,  36,  36,  35,  35,  35,  34,  34,  34,  34,  35,  34,  34,  34,  35,  34,  36,  33,  35,  44,  29,  34,  33,  34,  33,  33,  33,  33,  33,  33,  32,  32,  32,  33,  33,  33,  32,  32,  32,  32,  32,  32,  31,  31,  31,  32,  32,  32,  31,  31,  31,  30,  30,  30,  31,  31,  31,  31,  31,  31,
   30,  30,  30,  29,  29,  29,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  26,  25,  26,  25,  28,  37,  21,  25,  26,  24,
   25,  24,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  19,  28,  14,  17,  20,  15,  16,  15,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    7,   6,   8,  11,  18,   6,  10,  15,   6,   6,   5,   7,   6,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   3,   3,   3,   0,   0,   0,  10,  10,  10, 140, 140, 140, 162, 162, 162, 158, 158, 158, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 167, 167, 167, 183, 183, 183,  78,  78,  77,   0,   0,   0,   3,   3, 217,   0,   0, 255,   0,   0, 252,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,
    0,   0, 254,   0,   0, 254,   0,   0, 252,   0,   0, 251,   0,   0, 255,   0,   0, 251,   0,   0, 135,   0,   0,  21,   0,   0, 127,   0,   0, 131,   0,   0,  42,   0,   0,  58,   0,   0,  45,   0,   0, 160,   0,   0,  88,   0,   0,  33,   0,   0, 170,   0,   0, 255,   0,   0, 254,   0,   0, 251,   0,   0, 252,
    0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 254,   0,   0, 250,   0,   0, 255,   2,   2, 164,   0,   0,   0, 137, 137, 140, 209, 209, 209, 195, 195, 195, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175,
  178, 178, 178, 179, 179, 179, 177, 177, 177,  41,  41,  41,   0,   0,   0,  44,  44,  44,  70,  70,  70,  73,  73,  73,  72,  72,  72,  72,  72,  72,  73,  73,  73,  72,  72,  72,  71,  71,  71,  72,  72,  72,  71,  71,  71,  71,  71,  71,  70,  70,  70,  70,  70,  70,  70,  70,  70,  69,  69,  69,  69,  69,  69,
   69,  69,  69,  69,  69,  69,  68,  68,  68,  68,  68,  68,  68,  68,  69,  66,  75,  60,  66,  71,  63,  67,  66,  68,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  58,  58,  58,  58,  59,  58,  59,  57,  59,  57,  65,  53,  57,  64,  52,  58,  56,  58,  57,  58,  57,
   56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  49,  48,  53,  45,  48,  57,  42,  48,  47,  48,  47,  48,  47,  47,  47,  46,  46,  46,  46,  47,  47,  47,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  39,  38,  41,  37,
   40,  49,  33,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  35,  35,  35,  36,  36,  36,  35,  35,  35,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,
   32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  31,  42,  24,  28,  30,  27,  28,  27,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,
   26,  26,  26,  25,  25,  25,  24,  24,  24,  25,  25,  25,  25,  25,  25,  24,  24,  24,  23,  23,  23,  24,  24,  24,  23,  23,  23,  22,  22,  22,  22,  22,  22,  23,  23,  23,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,
   19,  19,  19,  20,  20,  19,  19,  18,  19,  22,  32,  16,  20,  23,  18,  18,  17,  19,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
   13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   8,  10,  14,  22,   8,  12,  18,   9,   9,   7,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   1,   1,   1,   0,   0,   0, 100, 100, 100,
  167, 167, 167, 156, 156, 156, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 169, 169, 169, 171, 171, 171, 174, 174, 174,
  188, 188, 189,  68,  68,  66,   0,   0,   0,   3,   3, 231,   0,   0, 255,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 255,
    0,   0, 237,   0,   0,  98,   0,   0,  44,   0,   0,  12,   2,   2,   0,   0,   0,  22,   0,   0,  47,   0,   0, 131,   0,   0, 252,   0,   0, 255,   0,   0, 254,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0, 255,   3,   3, 183,   0,   0,   0, 127, 127, 130, 218, 218, 218, 201, 201, 201, 199, 199, 199, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 176, 176, 176, 183, 183, 183, 174, 174, 174,  58,  58,  58,   0,   0,   0,   2,   2,   2,
   11,  11,  11,  15,  15,  15,  15,  15,  15,  15,  15,  15,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  13,  14,  19,  10,  13,  16,  11,
   13,  12,  13,  13,  13,  13,  12,  12,  12,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  11,  11,  11,  12,  12,  12,  11,  11,  11,
   11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  10,  11,  11,  16,   9,  11,  16,   9,  10,  10,  11,  10,  11,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,
   10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   9,   8,
    8,   8,   9,   9,  12,   7,  10,  15,   6,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   6,   6,   6,   6,   6,   6,   7,   7,   7,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   7,   8,   6,   8,  14,   4,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   4,   7,  13,   3,   4,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    3,   3,   3,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   3,   9,   0,   1,   3,   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,   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,   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,   4,   0,   0,   3,   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,   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,  11,  11,  11, 104, 104, 104, 166, 166, 166, 156, 156, 156, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 167, 167, 167, 173, 173, 173, 153, 153, 153,  45,  45,  45,  42,  42,  42,  15,  15,  14,   0,   0,   1,   1,   1,  55,   0,   0,  62,   0,   0,  60,   0,   0,  60,
    0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  61,   0,   0,  59,   0,   0,  52,   0,   0,  73,   0,   0,  95,   2,   2,  23,   1,   1,   0,   0,   0,   2,   2,   2,   0,   2,   2,  41,
    0,   0,  99,   0,   0,  65,   0,   0,  52,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  60,   0,   0,  63,   1,   1,  46,   0,   0,   0,
   28,  28,  28,  44,  44,  44,  74,  74,  74, 198, 198, 198, 200, 200, 200, 200, 200, 200, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 178, 178, 178, 177, 177, 177, 183, 183, 183, 188, 188, 188, 136, 136, 136,  74,  74,  74,  47,  47,  47,  40,  40,  40,  40,  40,  40,  40,  40,  40,  41,  41,  41,  41,  41,  41,  42,  42,  42,
   43,  43,  43,  42,  42,  42,  42,  42,  42,  43,  43,  43,  43,  43,  43,  42,  42,  42,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  41,  41,  41,  41,  41,  41,  41,  41,  41,
   41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  39,  38,  38,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
   36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  33,  34,  34,  33,  34,  34,  34,  34,  34,  34,  34,  33,  33,  33,  33,  33,  33,
   33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
   30,  30,  30,  30,  30,  30,  30,  30,  30,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  28,  29,  29,  29,  29,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,  27,
   27,  27,  27,  27,  27,  27,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  23,  24,  23,  23,  24,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
   25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  27,  27,  27,  27,  26,  27,  27,  27,  27,  27,  27,  27,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
   33,  33,  33,  33,  33,  34,  34,  33,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  36,  36,  36,  35,  35,  35,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  37,  37,  37,  37,  37,  37,  37,  37,  37,
   37,  37,  37,  39,  39,  39,  51,  51,  51,  87,  87,  87, 144, 144, 144, 166, 166, 166, 155, 155, 155, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 171, 171, 171, 165, 165, 165, 132, 132, 132, 140, 140, 141,  49,  49,  46,   0,   0,   3,   2,   2, 180,   0,   0, 201,   0,   0, 196,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,
    0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 193,   0,   0, 199,   0,   0, 216,   2,   2, 176,   2,   2,  50,   0,   0,   0,   6,   6,   8,  30,  30,  30,   1,   1,   2,   0,   0,   0,   2,   2,  70,   1,   1, 189,   0,   0, 215,   0,   0, 197,   0,   0, 193,   0,   0, 197,   0,   0, 197,
    0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 197,   0,   0, 195,   0,   0, 208,   2,   2, 144,   0,   0,   0,  92,  92,  94, 162, 162, 162, 160, 160, 160, 199, 199, 199, 199, 199, 199, 200, 200, 200, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175,
  179, 179, 179, 177, 177, 177, 179, 179, 179, 179, 179, 179, 178, 178, 178, 187, 187, 187, 191, 191, 191, 192, 192, 192, 189, 189, 189, 188, 188, 188, 188, 188, 188, 193, 193, 193, 192, 192, 192, 196, 196, 196, 199, 199, 199, 197, 197, 197, 196, 196, 196, 198, 198, 198, 198, 198, 198, 197, 197, 197, 199, 199, 199,
  198, 198, 198, 198, 198, 198, 198, 198, 198, 197, 197, 197, 196, 196, 196, 195, 195, 195, 195, 195, 195, 194, 194, 194, 193, 194, 193, 194, 194, 194, 193, 193, 193, 192, 192, 192, 191, 191, 191, 191, 191, 191, 191, 191, 191, 190, 190, 190, 190, 190, 190, 189, 189, 189, 188, 188, 188, 188, 188, 188, 187, 187, 187,
  186, 186, 186, 185, 185, 185, 186, 186, 186, 184, 184, 184, 185, 185, 185, 183, 183, 183, 183, 183, 183, 183, 183, 183, 182, 182, 182, 182, 182, 182, 181, 181, 181, 181, 181, 181, 180, 180, 180, 179, 179, 179, 178, 178, 178, 178, 178, 178, 177, 177, 177, 177, 177, 177, 176, 176, 176, 175, 175, 175, 176, 176, 176,
  174, 174, 174, 173, 173, 173, 172, 172, 172, 171, 171, 171, 171, 171, 171, 171, 171, 171, 170, 170, 170, 170, 170, 170, 170, 170, 170, 168, 168, 168, 167, 167, 167, 167, 167, 167, 166, 166, 166, 166, 166, 166, 166, 166, 166, 164, 164, 164, 164, 164, 164, 163, 163, 163, 163, 163, 163, 161, 161, 161, 162, 162, 162,
  161, 161, 161, 160, 160, 160, 160, 160, 160, 159, 159, 159, 159, 159, 159, 157, 157, 157, 157, 157, 157, 156, 156, 156, 155, 155, 155, 155, 155, 155, 155, 155, 155, 154, 154, 154, 152, 152, 152, 152, 152, 152, 152, 152, 152, 151, 151, 151, 150, 150, 150, 149, 149, 149, 149, 149, 149, 148, 148, 148, 147, 147, 147,
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  144, 144, 144, 144, 144, 144, 145, 145, 145, 145, 145, 145, 147, 147, 147, 146, 146, 146, 147, 147, 147, 149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157,
  157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 169, 169, 169,
  179, 179, 179, 136, 136, 140,   0,   0,   0,   0,   0, 126,   0,   0, 255,   0,   0, 251,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 252,   0,   0, 254,   0,   0, 255,   2,   2, 217,   2,   2,  80,   0,   0,   0,   7,   7,   4,  82,  82,  84, 170, 170, 173, 195, 195, 195,
  183, 183, 184, 181, 181, 181, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 184, 184, 184, 190, 190, 190, 202, 202, 202, 170, 170, 173,  78,  78,  79,   5,   5,   2,   0,   0,   0,   2,   2,  83,   2,   2, 217,   0,   0, 255,   0,   0, 254,   0,   0, 252,   0,   0, 254,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 253,   1,   1, 255,   0,   0,  59,  24,  24,  11, 191, 191, 194, 200, 200, 200, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 179, 179, 179, 180, 180, 180, 179, 179, 179, 179, 179, 179, 178, 178, 178,
  183, 183, 183, 183, 183, 183, 182, 182, 182, 182, 182, 182, 187, 187, 187, 185, 185, 185, 187, 187, 187, 189, 189, 189, 188, 188, 188, 187, 187, 187, 189, 189, 189, 189, 189, 189, 188, 188, 188, 190, 190, 190, 189, 189, 189, 188, 188, 188, 188, 188, 188, 188, 188, 188, 187, 187, 187, 186, 186, 186, 186, 186, 186,
  185, 185, 185, 185, 185, 185, 185, 185, 185, 184, 184, 184, 183, 183, 183, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 181, 181, 181, 180, 180, 180, 180, 180, 180, 179, 179, 179, 178, 178, 178, 177, 177, 177, 177, 177, 177, 177, 177, 177, 176, 176, 176, 176, 176, 176, 175, 175, 175, 174, 174, 174,
  174, 174, 174, 173, 173, 173, 173, 173, 173, 173, 173, 173, 172, 172, 172, 172, 172, 172, 171, 171, 171, 170, 170, 170, 169, 169, 169, 169, 169, 169, 168, 168, 168, 168, 168, 168, 167, 167, 167, 167, 167, 167, 166, 166, 166, 165, 165, 165, 164, 164, 164, 163, 163, 163, 163, 163, 163, 163, 163, 163, 162, 162, 162,
  162, 162, 162, 162, 162, 162, 160, 160, 160, 160, 160, 160, 160, 160, 160, 158, 158, 158, 158, 158, 158, 158, 158, 158, 157, 157, 157, 157, 157, 157, 156, 156, 156, 155, 155, 155, 154, 154, 154, 154, 154, 154, 154, 154, 154, 153, 153, 153, 153, 153, 153, 152, 152, 152, 151, 151, 151, 150, 150, 150, 150, 150, 150,
  149, 149, 149, 148, 148, 148, 148, 148, 148, 148, 148, 148, 147, 147, 147, 145, 145, 145, 145, 145, 145, 145, 145, 145, 144, 144, 144, 143, 143, 143, 143, 143, 143, 142, 142, 142, 141, 141, 141, 140, 140, 140, 139, 139, 139, 138, 138, 138, 139, 139, 139, 138, 138, 138, 137, 137, 137, 136, 136, 136, 135, 135, 135,
  135, 135, 135, 135, 135, 135, 134, 134, 134, 133, 133, 133, 131, 131, 131, 131, 131, 131, 132, 132, 132, 131, 131, 131, 130, 130, 130, 130, 130, 130, 130, 130, 130, 129, 129, 129, 130, 130, 130, 128, 128, 128, 128, 128, 128, 127, 127, 127, 125, 125, 125, 124, 124, 124, 124, 124, 124, 125, 125, 125, 123, 123, 123,
  122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119, 118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108,
  107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  99,  99,  99, 100, 100, 100,
  101, 101, 101, 101, 101, 101, 102, 102, 102, 103, 103, 103, 103, 103, 103, 104, 104, 104, 105, 105, 105, 106, 106, 106, 107, 107, 107, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 110, 110, 110, 111, 111, 111, 113, 113, 113, 114, 114, 114, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117,
  118, 118, 118, 118, 118, 118, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 123, 123, 123, 123, 123, 123, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 126, 126, 127, 127, 127, 128, 128, 128, 129, 129, 129, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 132, 132, 132,
  132, 132, 132, 134, 134, 134, 135, 135, 135, 136, 136, 136, 136, 136, 136, 137, 137, 137, 138, 138, 138, 138, 138, 138, 140, 140, 140, 140, 140, 140, 141, 141, 141, 141, 141, 141, 142, 142, 142, 143, 143, 143, 144, 144, 144, 144, 144, 144, 145, 145, 145, 145, 145, 145, 147, 147, 147, 146, 146, 146, 147, 147, 147,
  149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 174, 174, 174, 164, 164, 167,  19,  19,   6,   0,   0,  60,   1,   1, 255,   0,   0, 253,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0, 253,   0,   0, 255,   2,   2, 234,   2,   2, 109,   0,   0,   4,   1,   1,   0,  62,  62,  63, 156, 156, 159, 194, 194, 194, 185, 185, 185, 179, 179, 179, 182, 182, 182, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 187, 187, 187, 185, 185, 185, 193, 193, 193, 202, 202, 202, 159, 159, 162,  61,  61,  62,   0,   0,   0,   0,   0,   5,   2,   2, 107,   2,   2, 231,   0,   0, 255,   0,   0, 253,   0,   0, 252,   0,   0, 254,   0,   0, 255,   0,   0, 254,   0,   0, 255,   2,   2, 239,   0,   0,  11,  56,  56,  51,
  205, 205, 206, 197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 179, 179, 179, 180, 180, 180, 179, 179, 179, 179, 179, 179, 178, 178, 178, 183, 183, 183, 183, 183, 183, 182, 182, 182, 180, 180, 180, 185, 185, 185, 192, 192, 192, 204, 204, 204,
  210, 210, 210, 207, 207, 207, 206, 206, 206, 208, 208, 208, 208, 208, 208, 208, 208, 208, 209, 209, 209, 208, 208, 208, 208, 208, 208, 208, 208, 208, 207, 207, 207, 206, 206, 206, 205, 205, 205, 205, 205, 205, 204, 204, 204, 203, 203, 203, 204, 204, 204, 203, 203, 203, 202, 202, 202, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 200, 200, 200, 199, 199, 199, 198, 198, 198, 198, 198, 198, 197, 197, 197, 197, 197, 197, 196, 196, 196, 195, 195, 195, 195, 195, 195, 194, 194, 194, 194, 194, 194, 193, 193, 193, 192, 192, 192, 192, 192, 192, 191, 191, 191, 191, 191, 191, 191, 191, 191, 190, 190, 190, 190, 190, 190, 188, 188, 188,
  188, 188, 188, 187, 187, 187, 186, 186, 186, 186, 186, 186, 185, 185, 185, 185, 185, 185, 185, 185, 185, 183, 183, 183, 183, 183, 183, 182, 182, 182, 180, 180, 180, 180, 180, 180, 180, 180, 180, 179, 179, 179, 179, 179, 179, 179, 179, 179, 177, 177, 177, 176, 176, 176, 176, 176, 176, 175, 175, 175, 174, 174, 174,
  175, 175, 175, 173, 173, 173, 173, 173, 173, 172, 172, 172, 171, 171, 171, 170, 170, 170, 170, 170, 170, 170, 170, 170, 169, 169, 169, 169, 169, 169, 168, 168, 168, 167, 167, 167, 166, 166, 166, 165, 165, 165, 164, 164, 164, 163, 163, 163, 163, 163, 163, 163, 163, 163, 162, 162, 162, 160, 160, 160, 160, 160, 160,
  160, 160, 160, 159, 159, 159, 158, 158, 158, 158, 158, 158, 157, 157, 157, 156, 156, 156, 155, 155, 155, 154, 154, 154, 153, 153, 153, 153, 153, 153, 152, 152, 152, 151, 151, 151, 150, 150, 150, 149, 149, 149, 149, 149, 149, 149, 149, 149, 148, 148, 148, 147, 147, 147, 145, 145, 145, 145, 145, 145, 145, 145, 145,
  145, 145, 145, 145, 145, 145, 140, 140, 140, 132, 132, 132, 127, 127, 127, 129, 129, 129, 129, 129, 129, 128, 128, 128, 127, 127, 127, 125, 125, 125, 124, 124, 124, 124, 124, 124, 125, 125, 125, 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119,
  118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103,
  101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  99,  99,  99, 100, 100, 100, 101, 101, 101, 101, 101, 101, 102, 102, 102, 103, 103, 103, 103, 103, 103, 104, 104, 104, 105, 105, 105,
  106, 106, 106, 107, 107, 107, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 110, 110, 110, 111, 111, 111, 113, 113, 113, 114, 114, 114, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 118, 118, 118, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121,
  123, 123, 123, 123, 123, 123, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 126, 126, 127, 127, 127, 128, 128, 128, 129, 129, 129, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 132, 132, 132, 132, 132, 132, 134, 134, 134, 135, 135, 135, 136, 136, 136, 136, 136, 136, 137, 137, 137, 138, 138, 138,
  138, 138, 138, 140, 140, 140, 140, 140, 140, 141, 141, 141, 141, 141, 141, 142, 142, 142, 143, 143, 143, 144, 144, 144, 144, 144, 144, 145, 145, 145, 145, 145, 145, 147, 147, 147, 146, 146, 146, 147, 147, 147, 149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152,
  153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 170, 170, 170, 181, 181, 182,  57,  57,  53,   0,   0,   5,   2,   2, 231,   0,   0, 255,   0,   0, 254,   0,   0, 252,   0,   0, 253,   0,   0, 255,   1,   1, 246,   2,   2, 139,   1,   1,  16,   0,   0,   0,
   43,  43,  43, 139, 139, 143, 191, 191, 192, 187, 187, 187, 178, 178, 178, 181, 181, 181, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 187, 187, 187, 186, 186, 186, 196, 196, 196, 201, 201, 202,
  146, 146, 149,  45,  45,  44,   0,   0,   0,   1,   1,  14,   2,   2, 131,   1,   1, 242,   0,   0, 255,   0,   0, 253,   0,   0, 252,   0,   0, 252,   0,   0, 255,   3,   3, 178,   0,   0,   0, 111, 111, 114, 210, 210, 210, 195, 195, 195, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175,
  179, 179, 179, 177, 177, 177, 179, 179, 179, 180, 180, 180, 179, 179, 179, 179, 179, 179, 178, 178, 178, 183, 183, 183, 183, 183, 183, 180, 180, 180, 193, 193, 193, 199, 199, 199, 158, 158, 158, 114, 114, 114,  85,  85,  85,  78,  78,  78,  76,  76,  76,  77,  77,  77,  76,  76,  76,  76,  76,  76,  77,  77,  77,
   76,  76,  76,  76,  76,  76,  76,  76,  76,  75,  75,  75,  75,  75,  75,  74,  74,  74,  74,  74,  74,  74,  74,  74,  73,  73,  73,  73,  73,  73,  73,  73,  73,  72,  72,  72,  72,  72,  72,  72,  72,  72,  72,  72,  72,  71,  71,  71,  71,  71,  71,  70,  70,  70,  70,  70,  70,  70,  70,  70,  69,  69,  69,
   69,  69,  69,  68,  68,  68,  69,  69,  69,  68,  68,  68,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  56,  55,  55,  55,  55,  55,  55,
   55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  52,  52,  52,  51,  51,  51,  52,  52,  52,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  43,  43,  43,  46,  46,  46,  59,  59,  59,  89,  89,  89, 126, 126, 126, 142, 142, 142, 133, 133, 133, 126, 126, 126,
  128, 128, 128, 127, 127, 127, 125, 125, 125, 124, 124, 124, 124, 124, 124, 125, 125, 125, 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119, 118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112,
  111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,
   97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  99,  99,  99, 100, 100, 100, 101, 101, 101, 101, 101, 101, 102, 102, 102, 103, 103, 103, 103, 103, 103, 104, 104, 104, 105, 105, 105, 106, 106, 106, 107, 107, 107, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 110, 110, 110,
  111, 111, 111, 113, 113, 113, 114, 114, 114, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 118, 118, 118, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 123, 123, 123, 123, 123, 123, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 126, 126, 127, 127, 127,
  128, 128, 128, 129, 129, 129, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 132, 132, 132, 132, 132, 132, 134, 134, 134, 135, 135, 135, 136, 136, 136, 136, 136, 136, 137, 137, 137, 138, 138, 138, 138, 138, 138, 140, 140, 140, 140, 140, 140, 141, 141, 141, 141, 141, 141, 142, 142, 142, 143, 143, 143,
  144, 144, 144, 144, 144, 144, 145, 145, 145, 145, 145, 145, 147, 147, 147, 146, 146, 146, 147, 147, 147, 149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157,
  157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  169, 169, 169, 182, 182, 182, 110, 110, 113,   0,   0,   0,   2,   2, 154,   0,   0, 255,   0,   0, 249,   0,   0, 255,   1,   1, 254,   2,   2, 168,   1,   1,  33,   0,   0,   0,  28,  28,  27, 120, 120, 124, 184, 184, 185, 188, 188, 188, 178, 178, 178, 180, 180, 180, 182, 182, 182, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 187, 187, 187, 188, 188, 188, 201, 201, 201, 197, 197, 198, 128, 128, 132,  30,  30,  29,   0,   0,   0,   1,   1,  26,   3,   3, 154,
    1,   1, 249,   0,   0, 255,   0,   0, 249,   0,   0, 255,   0,   0,  96,   4,   4,   0, 167, 167, 171, 204, 204, 204, 197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 179, 179, 179, 180, 180, 180, 179, 179, 179, 179, 179, 179, 178, 178, 178,
  181, 181, 181, 186, 186, 186, 197, 197, 197, 131, 131, 131,  47,  47,  47,  49,  49,  49, 104, 104, 104, 149, 149, 149, 163, 163, 163, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 169, 169, 169, 169, 169, 169, 169, 169, 169, 169, 169, 169, 169, 169, 169, 169, 169, 169, 170, 170, 170,
  170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173,
  173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 175, 175, 175, 175, 175, 175, 175, 175, 175, 175, 175, 175, 175, 175, 175, 175, 175, 175, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 176, 177, 177, 177,
  177, 177, 177, 177, 177, 177, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180,
  181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 183, 183, 183, 183, 183, 183, 183, 183, 183, 183, 183, 183, 184, 184, 184, 184, 184, 184, 184, 184, 184,
  184, 184, 184, 184, 184, 184, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 183, 183, 183, 171, 171, 171, 136, 136, 136,  77,  77,  77,  28,  28,  28,  47,  47,  47, 118, 118, 118, 140, 140, 140, 126, 126, 126, 127, 127, 127, 125, 125, 125, 124, 124, 124, 124, 124, 124, 125, 125, 125, 123, 123, 123,
  122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119, 118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108,
  107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  99,  99,  99, 100, 100, 100,
  101, 101, 101, 101, 101, 101, 102, 102, 102, 103, 103, 103, 103, 103, 103, 104, 104, 104, 105, 105, 105, 106, 106, 106, 107, 107, 107, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 110, 110, 110, 111, 111, 111, 113, 113, 113, 114, 114, 114, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117,
  118, 118, 118, 118, 118, 118, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 123, 123, 123, 123, 123, 123, 125, 125, 125, 125, 125, 125, 126, 126, 126, 126, 126, 126, 127, 127, 127, 128, 128, 128, 129, 129, 129, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 132, 132, 132,
  132, 132, 132, 134, 134, 134, 135, 135, 135, 136, 136, 136, 136, 136, 136, 137, 137, 137, 138, 138, 138, 138, 138, 138, 140, 140, 140, 140, 140, 140, 141, 141, 141, 141, 141, 141, 142, 142, 142, 143, 143, 143, 144, 144, 144, 144, 144, 144, 145, 145, 145, 145, 145, 145, 147, 147, 147, 146, 146, 146, 147, 147, 147,
  149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 171, 171, 171, 174, 174, 174, 161, 161, 163,  15,  15,   3,   0,   0,  57,   1,   1, 255,   0,   0, 255,
    2,   2, 194,   1,   1,  54,   0,   0,   0,  15,  15,  13, 100, 100, 103, 176, 176, 178, 189, 189, 189, 177, 177, 177, 177, 177, 177, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 189, 189, 189, 190, 190, 190, 203, 203, 203, 191, 191, 193, 109, 109, 112,  16,  16,  15,   0,   0,   0,   2,   2,  42,   2,   2, 175,   0,   0, 255,   2,   2, 230,   0,   0,   8,  48,  48,  45, 202, 202, 203,
  196, 196, 196, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201, 201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 179, 179, 179, 180, 180, 180, 179, 179, 179, 179, 179, 179, 176, 176, 176, 189, 189, 189, 182, 182, 182,  57,  57,  57,  51,  51,  51, 189, 189, 189, 255, 255, 255, 231, 231, 231,
  187, 187, 187, 162, 162, 162, 152, 152, 152, 153, 153, 153, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152,
  152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152,
  152, 152, 152, 152, 152, 152, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151,
  151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 150, 150, 150, 150, 150, 150,
  150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 151, 151, 151,
  170, 170, 170, 203, 203, 203, 249, 249, 249, 241, 241, 241, 134, 134, 134,  22,  22,  22,  72,  72,  72, 140, 140, 140, 126, 126, 126, 125, 125, 125, 124, 124, 124, 124, 124, 124, 125, 125, 125, 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119,
  118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103,
  101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  99,  99,  99, 100, 100, 100, 101, 101, 101, 101, 101, 101, 102, 102, 102, 103, 103, 103, 103, 103, 103, 104, 104, 104, 105, 105, 105,
  106, 106, 106, 107, 107, 107, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 110, 110, 110, 111, 111, 111, 113, 113, 113, 114, 114, 114, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 118, 118, 118, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121,
  123, 123, 123, 123, 123, 123, 125, 125, 125, 124, 124, 124, 125, 125, 125, 125, 125, 125, 127, 127, 127, 128, 128, 128, 129, 129, 129, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 132, 132, 132, 132, 132, 132, 134, 134, 134, 135, 135, 135, 136, 136, 136, 136, 136, 136, 137, 137, 137, 138, 138, 138,
  138, 138, 138, 140, 140, 140, 140, 140, 140, 141, 141, 141, 141, 141, 141, 142, 142, 142, 143, 143, 143, 143, 143, 143, 144, 144, 144, 145, 145, 145, 145, 145, 145, 147, 147, 147, 146, 146, 146, 147, 147, 147, 149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152,
  153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166,
  166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 170, 170, 170, 169, 169, 169, 170, 170, 170, 172, 172, 172, 169, 169, 169, 183, 183, 183,  72,  72,  72,   0,   0,   0,   4,   4, 156,   2,   2,  92,   0,   0,   0,   6,   6,   4,  79,  79,  81, 166, 166, 168, 190, 190, 189, 178, 178, 178, 175, 175, 175,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 188, 188, 188, 193, 193, 193, 207, 207, 207, 181, 181, 183,  85,  85,  88,   6,   6,   4,   0,   0,   0,   2,   2,  76,   4,   4, 101,   0,   0,   0, 129, 129, 131, 209, 209, 209, 194, 194, 194, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 201, 201, 201, 201, 201, 201,
  201, 201, 201, 199, 199, 199, 201, 201, 201, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175,
  179, 179, 179, 177, 177, 177, 179, 179, 179, 180, 180, 180, 179, 179, 179, 177, 177, 177, 185, 185, 185, 170, 170, 170,  26,  26,  26, 125, 125, 125, 255, 255, 255, 179, 179, 179,  50,  50,  50,   2,   2,   2,   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,   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,   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,   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,   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,   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,   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,   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,   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,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,  14,  14,  14,  98,  98,  98, 234, 234, 234, 239, 239, 239,  57,  57,  57,
   47,  47,  47, 138, 138, 138, 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119, 118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112,
  111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,
   97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  99,  99,  99, 100, 100, 100, 100, 100, 100, 100, 100, 100, 103, 103, 103, 103, 103, 103, 104, 104, 104, 105, 105, 105, 106, 106, 106, 107, 107, 107, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 110, 110, 110,
  111, 111, 111, 113, 113, 113, 114, 114, 114, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 118, 118, 118, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 123, 123, 123, 123, 123, 123, 123, 123, 123, 128, 128, 128, 133, 133, 133, 129, 129, 129, 125, 125, 125,
  128, 128, 128, 129, 129, 129, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 132, 132, 132, 132, 132, 132, 134, 134, 134, 135, 135, 135, 136, 136, 136, 136, 136, 136, 137, 137, 137, 138, 138, 138, 138, 138, 138, 140, 140, 140, 140, 140, 140, 141, 141, 141, 141, 141, 141, 142, 142, 142, 144, 144, 144,
  147, 147, 147, 146, 146, 146, 145, 145, 145, 145, 145, 145, 147, 147, 147, 146, 146, 146, 147, 147, 147, 149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157,
  157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 165, 165, 165, 165, 165, 165, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 169, 169, 169, 169, 169, 169, 170, 170, 170,
  172, 172, 172, 170, 170, 170, 177, 177, 177, 159, 159, 159,  11,  11,  12,   0,   0,   0,   1,   1,   0,  58,  58,  59, 151, 151, 155, 189, 189, 189, 180, 180, 180, 174, 174, 174, 177, 177, 177, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 190, 190, 190, 197, 197, 197, 208, 208, 208,
  164, 164, 167,  60,  60,  62,   1,   1,   0,   0,   0,   0,  45,  45,  45, 204, 204, 204, 196, 196, 196, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 200, 200, 200, 201, 201, 201, 201, 201, 201, 198, 198, 198, 200, 200, 200, 200, 200, 200, 198, 198, 198, 199, 199, 199, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 179, 179, 179, 180, 180, 180, 178, 178, 178, 182, 182, 182, 173, 173, 173,
   25,  25,  25, 160, 160, 160, 252, 252, 252,  64,  64,  64,   0,   0,   0,   2,   2,   2,   1,   1,   1,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   5,   5,   5,   5,   5,   5,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   2,   2,   2,   0,   0,   0,   0,   0,   0,   1,   1,   1, 150, 150, 150, 255, 255, 255,  71,  71,  71,  52,  52,  52, 138, 138, 138, 122, 122, 122, 124, 124, 124, 125, 125, 125, 123, 123, 123,
  122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119, 118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108,
  107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  99,  99,  99, 104, 104, 104, 103, 103, 103,
  105, 105, 105, 107, 107, 107, 107, 107, 107, 102, 102, 102, 103, 103, 103, 107, 107, 107, 106, 106, 106, 106, 106, 106, 107, 107, 107, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 110, 110, 110, 111, 111, 111, 113, 113, 113, 114, 114, 114, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117,
  118, 118, 118, 118, 118, 118, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 122, 122, 122, 122, 122, 122, 125, 125, 125, 132, 132, 132, 111, 111, 111,  96,  96,  96, 112, 112, 112, 133, 133, 133, 128, 128, 128, 129, 129, 129, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 132, 132, 132,
  132, 132, 132, 134, 134, 134, 135, 135, 135, 136, 136, 136, 136, 136, 136, 137, 137, 137, 138, 138, 138, 138, 138, 138, 139, 139, 139, 139, 139, 139, 140, 140, 140, 141, 141, 141, 143, 143, 143, 142, 142, 142, 130, 130, 130, 136, 136, 136, 146, 146, 146, 145, 145, 145, 147, 147, 147, 146, 146, 146, 147, 147, 147,
  149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 169, 169, 169, 169, 169, 169, 169, 169, 169, 166, 166, 166, 166, 166, 166, 169, 169, 169, 173, 173, 173, 172, 172, 172, 172, 172, 172, 170, 170, 170, 171, 171, 171, 179, 179, 179, 129, 129, 129,   9,   9,  10,  37,  37,  39, 134, 134, 137,
  185, 185, 185, 182, 182, 182, 173, 173, 173, 176, 176, 176, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 193, 193, 193, 191, 191, 191, 201, 201, 201, 205, 205, 205, 143, 143, 147,  30,  30,  33,  33,  33,  32, 171, 171, 171, 203, 203, 203,
  195, 195, 195, 197, 197, 197, 201, 201, 201, 202, 202, 202, 203, 203, 203, 200, 200, 200, 200, 200, 200, 201, 201, 201, 203, 203, 203, 204, 204, 204, 203, 203, 203, 196, 196, 196, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 179, 179, 179, 180, 180, 180, 177, 177, 177, 190, 190, 190,  48,  48,  48, 137, 137, 137, 244, 244, 244,  31,  31,  31,   0,   0,   0,   4,   4,   4,   3,   3,   3,   2,   2,   2,
    2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   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,   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,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   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,   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,   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,   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,   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,   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,   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,   4,   4,   4,   3,   3,   3,   0,   0,   0, 119, 119, 119, 255, 255, 255,  47,  47,  47,  83,  83,  83, 133, 133, 133, 123, 123, 123, 125, 125, 125, 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119,
  118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103,
  101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  99,  99,  99,  94,  94,  94,  55,  55,  55,  30,  30,  30,  21,  21,  21,  39,  39,  39,  73,  73,  73, 107, 107, 107, 112, 112, 112,  31,  31,  31,  45,  45,  45,
  113, 113, 113, 106, 106, 106, 107, 107, 107, 108, 108, 108, 109, 109, 109, 110, 110, 110, 110, 110, 110, 111, 111, 111, 113, 113, 113, 114, 114, 114, 114, 114, 114, 115, 115, 115, 116, 116, 116, 117, 117, 117, 118, 118, 118, 118, 118, 118, 120, 120, 120, 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121,
  125, 125, 125, 118, 118, 118,  42,  42,  42,  35,  35,  35,  77,  77,  77,  27,  27,  27,  63,  63,  63, 133, 133, 133, 128, 128, 128, 129, 129, 129, 130, 130, 130, 131, 131, 131, 132, 132, 132, 132, 132, 132, 132, 132, 132, 134, 134, 134, 135, 135, 135, 136, 136, 136, 136, 136, 136, 137, 137, 137, 138, 138, 138,
  138, 138, 138, 140, 140, 140, 146, 146, 146, 144, 144, 144, 139, 139, 139, 151, 151, 151,  89,  89,  89,   0,   0,   0,  78,  78,  78, 155, 155, 155, 143, 143, 143, 147, 147, 147, 146, 146, 146, 147, 147, 147, 149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152,
  153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 163, 163, 163, 167, 167, 167, 168, 168, 168, 156, 156, 156, 156, 156, 156,
  158, 158, 158, 171, 171, 171, 172, 172, 172, 167, 167, 167, 160, 160, 160, 160, 160, 160, 167, 167, 167, 175, 175, 175, 180, 180, 180,  93,  93,  93,  21,  21,  21, 118, 118, 118, 179, 179, 180, 183, 183, 183, 172, 172, 172, 175, 175, 175, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 193, 193, 193, 192, 192, 192, 206, 206, 206, 200, 200, 200, 109, 109, 109,  18,  18,  18, 142, 142, 142, 208, 208, 208, 202, 202, 202, 188, 188, 188, 187, 187, 187, 188, 188, 188, 204, 204, 204, 207, 207, 207,
  203, 203, 203, 188, 188, 188, 190, 190, 190, 193, 193, 193, 204, 204, 204, 199, 199, 199, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175,
  179, 179, 179, 177, 177, 177, 179, 179, 179, 178, 178, 178, 192, 192, 192, 112, 112, 112,  70,  70,  70, 255, 255, 255,  54,  54,  54,   0,   0,   0,   5,   5,   5,   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,   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,   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,   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,   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,  11,  11,  11,  21,  21,  21,  14,  14,  14,   0,   0,   0,   0,   0,   0,   0,   0,   0,   3,   3,   3,  16,  16,  16,  15,  15,  15,   2,   2,   2,   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,   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,   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,   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,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   4,   4,   4,   0,   0,   0,
  162, 162, 162, 210, 210, 210,  25,  25,  25, 124, 124, 124, 125, 125, 125, 124, 124, 124, 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119, 118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112,
  111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,
   97,  97,  97,  97,  97,  97,  96,  96,  96, 102, 102, 102,  29,  29,  29,  41,  41,  41,  89,  89,  89,  18,  18,  18,   0,   0,   0,   0,   0,   0,  41,  41,  41,  61,  61,  61,   2,   2,   2,  75,  75,  75, 111, 111, 111, 106, 106, 106, 107, 107, 107, 108, 108, 108, 108, 108, 108, 110, 110, 110, 110, 110, 110,
  111, 111, 111, 113, 113, 113, 114, 114, 114, 114, 114, 114, 114, 114, 114, 116, 116, 116, 117, 117, 117, 118, 118, 118, 118, 118, 118, 119, 119, 119, 120, 120, 120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 128, 128, 128,  39,  39,  39,   0,   0,   0, 112, 112, 112, 144, 144, 144,  35,  35,  35,   3,   3,   3,
  121, 121, 121, 131, 131, 131, 128, 128, 128, 130, 130, 130, 130, 130, 130, 132, 132, 132, 132, 132, 132, 132, 132, 132, 133, 133, 133, 135, 135, 135, 136, 136, 136, 135, 135, 135, 137, 137, 137, 138, 138, 138, 139, 139, 139, 137, 137, 137, 119, 119, 119, 127, 127, 127, 142, 142, 142, 146, 146, 146,  34,  34,  34,
    0,   0,   0, 121, 121, 121, 150, 150, 150, 144, 144, 144, 147, 147, 147, 146, 146, 146, 147, 147, 147, 149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157,
  157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 164, 164, 164, 164, 164, 164,  56,  56,  56,   5,   5,   5,  15,  15,  15,   5,   5,   5,  97,  97,  97, 159, 159, 159,  32,  32,  32,   8,   8,   8,  11,  11,  11,  19,  19,  19,
  138, 138, 138, 180, 180, 180, 146, 146, 146, 167, 167, 167, 186, 186, 186, 173, 173, 173, 172, 172, 172, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 193, 193, 193, 196, 196, 196, 212, 212, 212, 179, 179, 179, 175, 175, 175, 207, 207, 207,  96,  96,  96,   5,   5,   5,  19,  19,  19,   5,   5,   5,  83,  83,  83, 202, 202, 202,  65,  65,  65,   6,   6,   6,  17,  17,  17,  10,  10,  10, 132, 132, 132, 207, 207, 207, 196, 196, 196,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 178, 178, 178, 180, 180, 180, 182, 182, 182,  41,  41,  41, 212, 212, 212,
  149, 149, 149,   0,   0,   0,   5,   5,   5,   0,   0,   0,   1,   1,   1,   0,   0,   0,  34,  34,  34,  65,  65,  65,  58,  58,  58,  58,  58,  58,  60,  60,  60,  62,  62,  62,  60,  60,  60,   9,   9,   9,   0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,
    0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   1,   1,   1,   1,   1,   1,   3,   3,   3,   1,   1,   1,   0,   0,   0,   1,   1,   1,  42,  42,  42,  63,  63,  63,  62,  62,  62,  67,  67,  67,  43,  43,  43,   0,   0,   0,   1,   1,   1,   0,   0,   0,
    1,   1,   1,   2,   2,   2,   2,   2,   2,   0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   2,   2,   2,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   4,   4,   4,   0,   0,   0,  42,  42,  42, 133, 133, 133, 125, 125, 125,  94,  94,  94,   0,   0,   0,   2,   2,   2,   0,   0,   0,
   23,  23,  23, 133, 133, 133, 125, 125, 125,  12,  12,  12,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   3,   3,   3,   2,   2,   2,   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,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   3,   3,   3,   2,   2,   2,   2,   2,   2,   2,   2,   2,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   3,   3,   3,   2,   2,   2,   1,   1,   1,
    0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   1,   1,   1,   2,   2,   2,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   0,   0,   0,   0,   0,   0,   2,   2,   2,   0,   0,   0,  17,  17,  17, 242, 242, 242,  92,  92,  92,  73,  73,  73, 135, 135, 135, 123, 123, 123, 123, 123, 123,
  122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119, 118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108,
  107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  98,  98,  98,  16,  16,  16,   0,   0,   0,  95,  95,  95,
   98,  98,  98,  39,  39,  39,  28,  28,  28,   0,   0,   0,  32,  32,  32,  99,  99,  99, 110, 110, 110, 104, 104, 104, 109, 109, 109, 109, 109, 109, 109, 109, 109, 113, 113, 113, 110, 110, 110, 110, 110, 110, 113, 113, 113, 115, 115, 115, 113, 113, 113, 113, 113, 113, 117, 117, 117, 116, 116, 116, 116, 116, 116,
  118, 118, 118, 120, 120, 120, 119, 119, 119, 120, 120, 120, 120, 120, 120, 120, 120, 120, 125, 125, 125, 109, 109, 109,   1,   1,   1,  16,  16,  16, 122, 122, 122, 129, 129, 129,  86,  86,  86,  79,  79,  79, 133, 133, 133, 131, 131, 131, 128, 128, 128, 130, 130, 130, 133, 133, 133, 132, 132, 132, 131, 131, 131,
  134, 134, 134, 135, 135, 135, 134, 134, 134, 135, 135, 135, 138, 138, 138, 136, 136, 136, 134, 134, 134, 146, 146, 146,  73,  73,  73,   0,   0,   0,  77,  77,  77, 156, 156, 156, 116, 116, 116,   0,   0,   0,  45,  45,  45, 153, 153, 153, 146, 146, 146, 144, 144, 144, 147, 147, 147, 146, 146, 146, 147, 147, 147,
  149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162,
  160, 160, 160, 159, 159, 159, 168, 168, 168, 135, 135, 135,   0,   0,   0,  98,  98,  98, 164, 164, 164,  49,  49,  49,  29,  29,  29,  96,  96,  96,   0,   0,   0, 117, 117, 117, 135, 135, 135,   7,   7,   7,  64,  64,  64, 182, 182, 182, 176, 176, 176, 175, 175, 175, 170, 170, 170, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 193, 193, 193, 201, 201, 201, 204, 204, 204,
  189, 189, 189,   6,   6,   6,  81,  81,  81, 198, 198, 198,  97,  97,  97,   6,   6,   6, 132, 132, 132,   0,   0,   0, 109, 109, 109, 173, 173, 173,  35,  35,  35,  36,  36,  36, 205, 205, 205, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 177, 177, 177, 191, 191, 191, 129, 129, 129,  72,  72,  72, 251, 251, 251,  29,  29,  29,   0,   0,   0,   1,   1,   1,   0,   0,   0,   2,   2,   2,   0,   0,   0,  79,  79,  79,
  152, 152, 152, 147, 147, 147, 156, 156, 156, 147, 147, 147, 142, 142, 142, 148, 148, 148,  23,  23,  23,   0,   0,   0,   2,   2,   2,   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,   0,   0,   0,   0,   0,   0,
    1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,  11,  11,  11, 147, 147, 147, 166, 166, 166, 151, 151, 151, 156, 156, 156, 138, 138, 138,   9,   9,   9,   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,   1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,  17,  17,  17, 101, 101, 101, 156, 156, 156, 110, 110, 110,   0,   0,   0,   2,   2,   2,   0,   0,   0,  16,  16,  16, 114, 114, 114, 106, 106, 106,   8,   8,   8,   0,   0,   0,   1,   1,   1,   0,   0,   0,
    0,   0,   0,   2,   2,   2,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   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,   0,   0,   0,   2,   2,   2,
    0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   2,   2,   2,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   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,   0,   0,   0,   4,   4,   4,   0,   0,   0, 142, 142, 142, 197, 197, 197,  30,  30,  30, 132, 132, 132, 124, 124, 124, 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119,
  118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103,
  101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  96,  96,  96, 100, 100, 100,  74,  74,  74,  57,  57,  57,  97,  97,  97, 102, 102, 102, 115, 115, 115,  40,  40,  40,  32,  32,  32, 108, 108, 108, 107, 107, 107, 103, 103, 103,
  113, 113, 113,  98,  98,  98, 100, 100, 100, 107, 107, 107,  91,  91,  91, 107, 107, 107, 112, 112, 112, 104, 104, 104, 107, 107, 107, 117, 117, 117, 118, 118, 118, 108, 108, 108, 117, 117, 117, 122, 122, 122, 120, 120, 120, 111, 111, 111, 122, 122, 122, 119, 119, 119, 120, 120, 120, 120, 120, 120, 125, 125, 125,
  110, 110, 110,   6,   6,   6,   0,   0,   0, 107, 107, 107, 130, 130, 130, 131, 131, 131, 135, 135, 135, 119, 119, 119, 121, 121, 121, 131, 131, 131, 131, 131, 131, 125, 125, 125, 131, 131, 131, 136, 136, 136, 125, 125, 125, 127, 127, 127, 141, 141, 141, 141, 141, 141, 128, 128, 128, 139, 139, 139, 146, 146, 146,
  144, 144, 144,  18,  18,  18,   9,   9,   9, 139, 139, 139, 156, 156, 156,  68,  68,  68,   0,   0,   0, 115, 115, 115, 151, 151, 151, 135, 135, 135, 150, 150, 150, 146, 146, 146, 146, 146, 146, 147, 147, 147, 149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152,
  153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 161, 161, 161, 171, 171, 171, 177, 177, 177, 178, 178, 178, 163, 163, 163, 132, 132, 132, 124, 124, 124, 145, 145, 145,
   46,  46,  46,  48,  48,  48,  97,  97,  97,   4,   4,   4, 168, 168, 168, 188, 188, 188,  28,  28,  28,  59,  59,  59, 184, 184, 184, 169, 169, 169, 172, 172, 172, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 166, 166, 166, 146, 146, 146, 173, 173, 173,  89,  89,  89,  26,  26,  26, 140, 140, 140,
    0,   0,   0, 165, 165, 165, 236, 236, 236,  72,  72,  72,  30,  30,  30, 205, 205, 205, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175,
  179, 179, 179, 177, 177, 177, 176, 176, 176, 196, 196, 196,  78,  78,  78, 144, 144, 144, 202, 202, 202,   0,   0,   0,   2,   2,   2,   0,   0,   0,   0,   0,   0,   2,   2,   2,   0,   0,   0,  82,  82,  82, 171, 171, 171,  90,  90,  90,  41,  41,  41, 114, 114, 114, 177, 177, 177, 127, 127, 127,   2,   2,   2,
    0,   0,   0,   0,   0,   0,   8,   8,   8,  40,  40,  40,  59,  59,  59,  56,  56,  56,  23,  23,  23,   0,   0,   0,   0,   0,   0,   5,   5,   5,  33,  33,  33,  31,  31,  31,  36,  36,  36,  57,  57,  57,   7,   7,   7,  26,  26,  26,  62,  62,  62,  20,  20,  20,   0,   0,   0,   1,   1,   1,  29,  29,  29,
   84,  84,  84, 174, 174, 174, 175, 175, 175, 184, 184, 184,  64,  64,  64,   0,   0,   0,   1,   1,   1,   8,   8,   8,  33,  33,  33,  38,  38,  38,  10,  10,  10,   0,   0,   0,  19,  19,  19,  36,  36,  36,  35,  35,  35,   6,   6,   6,   0,   0,   0,   0,   0,   0,   3,   3,   3,  41,  41,  41,  69,  69,  69,
   41,  41,  41,  20,  20,  20, 181, 181, 181, 129, 129, 129,   0,   0,   0,   0,   0,   0,  10,  10,  10,  31,  31,  31,  33,  33,  33,  36,  36,  36,   9,   9,   9,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   4,   4,   4,  42,  42,  42,  65,  65,  65,  50,  50,  50,  10,  10,  10,
    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,   1,   1,   1,   0,   0,   0,  14,  14,  14,  53,  53,  53,  63,  63,  63,  38,  38,  38,  33,  33,  33,  44,  44,  44,   0,   0,   0,
    2,   2,   2,   0,   0,   0,   8,   8,   8,  46,  46,  46,  63,  63,  63,  44,  44,  44,   6,   6,   6,   0,   0,   0,   0,   0,   0,  22,  22,  22,  36,  36,  36,  27,  27,  27,  57,  57,  57,  26,  26,  26,   7,   7,   7,  56,  56,  56,  40,  40,  40,   0,   0,   0,   0,   0,   0,   0,   0,   0,   2,   2,   2,
    0,   0,   0,  55,  55,  55, 244, 244, 244,  42,  42,  42, 112, 112, 112, 128, 128, 128, 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119, 118, 118, 118, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112,
  111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 107, 107, 107, 107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,
   97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97, 102, 102, 102, 105, 105, 105, 100, 100, 100, 109, 109, 109,  38,  38,  38,  24,  24,  24, 106, 106, 106, 104, 104, 104, 102, 102, 102, 110, 110, 110,  56,  56,  56,  28,  28,  28,  31,  31,  31,  17,  17,  17,  12,  12,  12, 111, 111, 111,  83,  83,  83,
    2,   2,   2,  27,  27,  27, 109, 109, 109,  35,  35,  35,   0,   0,   0,  80,  80,  80, 108, 108, 108,  23,  23,  23,   7,   7,   7,  95,  95,  95, 125, 125, 125, 119, 119, 119, 121, 121, 121, 121, 121, 121, 126, 126, 126,  32,  32,  32,   0,   0,   0,  63,  63,  63, 135, 135, 135, 122, 122, 122, 128, 128, 128,
   33,  33,  33,   1,   1,   1, 104, 104, 104, 128, 128, 128,   9,   9,   9,  68,  68,  68, 106, 106, 106,   0,   0,   0,  55,  55,  55, 126, 126, 126,  33,  33,  33,   3,   3,   3,  94,  94,  94,  91,  91,  91,  47,  47,  47,   0,   0,   0,  21,  21,  21,  66,  66,  66, 120, 120, 120,  17,  17,  17,  31,  31,  31,
  106, 106, 106,  17,  17,  17,   8,   8,   8, 111, 111, 111, 153, 153, 153, 145, 145, 145, 148, 148, 148, 149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157,
  157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 159, 159, 159, 168, 168, 168,  95,  95,  95,  50,  50,  50,  58,  58,  58, 157, 157, 157, 163, 163, 163,  13,  13,  13,   7,   7,   7,   0,   0,   0, 105, 105, 105, 104, 104, 104,   0,   0,   0, 156, 156, 156, 175, 175, 175,  23,  23,  23,
   60,  60,  60, 184, 184, 184, 170, 170, 170, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182,
  183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 196, 196, 196, 199, 199, 199, 212, 212, 212,  42,  42,  42,   4,   4,   4,   0,   0,   0,  86,  86,  86, 162, 162, 162,   0,   0,   0, 153, 153, 153, 220, 220, 220,  64,  64,  64,  30,  30,  30, 206, 206, 206, 198, 198, 198,
  194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 159, 159, 159, 169, 169, 169, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 177, 177, 177, 192, 192, 192,  52,  52,  52, 200, 200, 200, 140, 140, 140,
    0,   0,   0,   4,   4,   4,   0,   0,   0,   0,   0,   0,   3,   3,   3,   0,   0,   0,  81,  81,  81, 211, 211, 211,  34,  34,  34,  29,  29,  29, 183, 183, 183, 174, 174, 174,  26,  26,  26,   0,   0,   0,   0,   0,   0,  36,  36,  36, 186, 186, 186, 210, 210, 210, 212, 212, 212, 214, 214, 214, 196, 196, 196,
   83,  83,  83,   0,   0,   0, 121, 121, 121, 211, 211, 211, 191, 191, 191, 208, 208, 208, 215, 215, 215, 162, 162, 162, 195, 195, 195, 225, 225, 225, 179, 179, 179,  28,  28,  28,   0,   0,   0,   0,   0,   0,  98,  98,  98, 219, 219, 219, 125, 125, 125, 208, 208, 208, 150, 150, 150,   0,   0,   0,   0,   0,   0,
  150, 150, 150, 223, 223, 223, 211, 211, 211,  40,  40,  40,  24,  24,  24, 214, 214, 214, 218, 218, 218, 200, 200, 200,  30,  30,  30,   0,   0,   0,  22,  22,  22, 156, 156, 156, 227, 227, 227, 234, 234, 234, 233, 233, 233, 187, 187, 187, 213, 213, 213, 145, 145, 145,   0,   0,   0,   0,   0,   0, 153, 153, 153,
  237, 237, 237, 215, 215, 215, 210, 210, 210,  43,  43,  43,   0,   0,   0,   2,   2,   2,   1,   1,   1,   0,   0,   0,  36,  36,  36, 169, 169, 169, 227, 227, 227, 231, 231, 231, 229, 229, 229, 186, 186, 186,  56,  56,  56,   0,   0,   0,   2,   2,   2,   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,  72,  72,  72, 190, 190, 190, 221, 221, 221, 222, 222, 222, 211, 211, 211, 197, 197, 197, 173, 173, 173,   7,   7,   7,   0,   0,   0,  53,  53,  53, 172, 172, 172, 213, 213, 213, 214, 214, 214, 210, 210, 210, 162, 162, 162,
   28,  28,  28,  43,  43,  43, 198, 198, 198, 188, 188, 188, 190, 190, 190, 209, 209, 209, 172, 172, 172, 160, 160, 160, 206, 206, 206, 194, 194, 194,  80,  80,  80,   0,   0,   0,   2,   2,   2,   1,   1,   1,   0,   0,   0,   7,   7,   7, 235, 235, 235,  75,  75,  75,  89,  89,  89, 132, 132, 132, 122, 122, 122,
  122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 119, 119, 119, 118, 118, 118, 117, 117, 117, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108,
  107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 103, 103, 103, 103, 103, 103, 103, 103, 103, 101, 101, 101, 101, 101, 101, 101, 101, 101,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  96,  96,  96,  96,  96,  96, 109, 109, 109,
   42,  42,  42,  23,  23,  23, 105, 105, 105, 104, 104, 104, 101, 101, 101, 111, 111, 111,  52,  52,  52,   6,   6,   6, 107, 107, 107,  69,  69,  69,   0,   0,   0,  47,  47,  47, 120, 120, 120,  97,  97,  97,   0,   0,   0,  35,  35,  35,  54,  54,  54,  38,  38,  38,   0,   0,   0,  66,  66,  66,  56,  56,  56,
   30,  30,  30,   0,   0,   0,  90,  90,  90, 126, 126, 126, 119, 119, 119, 121, 121, 121, 120, 120, 120, 131, 131, 131,  76,  76,  76,   0,   0,   0,  15,  15,  15, 119, 119, 119, 126, 126, 126, 135, 135, 135,  57,  57,  57,   0,   0,   0,  72,  72,  72, 134, 134, 134,   1,   1,   1,  51,  51,  51, 104, 104, 104,
    0,   0,   0,  55,  55,  55,  63,  63,  63,  52,  52,  52,   0,   0,   0,  76,  76,  76, 128, 128, 128,  34,  34,  34,   0,   0,   0,  88,  88,  88, 119, 119, 119,  95,  95,  95,   0,   0,   0,  49,  49,  49,  74,  74,  74,  73,  73,  73,   0,   0,   0,  66,  66,  66, 157, 157, 157, 144, 144, 144, 147, 147, 147,
  149, 149, 149, 150, 150, 150, 150, 150, 150, 149, 149, 149, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 159, 159, 159, 168, 168, 168,
   93,  93,  93,  46,  46,  46,  59,  59,  59, 143, 143, 143, 128, 128, 128, 152, 152, 152, 182, 182, 182,  66,  66,  66,  30,  30,  30,  95,  95,  95,   4,   4,   4, 170, 170, 170, 191, 191, 191,  28,  28,  28,  59,  59,  59, 183, 183, 183, 170, 170, 170, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 189, 189, 189, 188, 188, 188, 189, 189, 189, 189, 189, 189, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197,
  195, 195, 195, 153, 153, 153, 173, 173, 173, 217, 217, 217, 122, 122, 122,   9,   9,   9, 132, 132, 132,   0,   0,   0, 167, 167, 167, 240, 240, 240,  73,  73,  73,  29,  29,  29, 205, 205, 205, 198, 198, 198, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178,
  135, 135, 135, 117, 117, 117, 159, 159, 159, 170, 170, 170, 173, 173, 173, 173, 173, 173, 175, 175, 175, 179, 179, 179, 177, 177, 177, 178, 178, 178, 186, 186, 186,  47,  47,  47, 220, 220, 220, 110, 110, 110,   0,   0,   0,   4,   4,   4,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,  22,  22,  22,
   68,  68,  68,  23,  23,  23, 179, 179, 179, 211, 211, 211,  54,  54,  54,   0,   0,   0,   3,   3,   3,   0,   0,   0,  25,  25,  25, 130, 130, 130, 111, 111, 111,  83,  83,  83,  85,  85,  85, 190, 190, 190, 202, 202, 202,   7,   7,   7,  47,  47,  47, 191, 191, 191, 223, 223, 223, 124, 124, 124, 148, 148, 148,
  241, 241, 241, 156, 156, 156, 115, 115, 115, 244, 244, 244, 103, 103, 103,   0,   0,   0,  12,  12,  12, 203, 203, 203, 199, 199, 199,   0,   0,   0, 164, 164, 164, 237, 237, 237,  39,  39,  39,   0,   0,   0,  63,  63,  63, 184, 184, 184, 243, 243, 243,  45,  45,  45,   3,   3,   3, 111, 111, 111, 200, 200, 200,
  232, 232, 232,  29,  29,  29,   0,   0,   0, 167, 167, 167, 255, 255, 255, 160, 160, 160,  84,  84,  84, 112, 112, 112, 222, 222, 222, 255, 255, 255, 159, 159, 159,   0,   0,   0,   0,   0,   0,  71,  71,  71, 128, 128, 128, 189, 189, 189, 249, 249, 249,  43,  43,  43,   0,   0,   0,   3,   3,   3,   0,   0,   0,
   14,  14,  14, 207, 207, 207, 251, 251, 251, 142, 142, 142,  86,  86,  86, 124, 124, 124, 235, 235, 235, 229, 229, 229,  37,  37,  37,   0,   0,   0,   2,   2,   2,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   2,   2,   2,   0,   0,   0,  48,  48,  48, 230, 230, 230,
  212, 212, 212, 111, 111, 111,  81,  81,  81, 131, 131, 131, 225, 225, 225, 200, 200, 200,   8,   8,   8,  28,  28,  28, 209, 209, 209, 216, 216, 216, 119, 119, 119,  80,  80,  80, 127, 127, 127, 222, 222, 222, 184, 184, 184,  28,  28,  28, 134, 134, 134, 216, 216, 216, 160, 160, 160, 104, 104, 104, 206, 206, 206,
  189, 189, 189,  94,  94,  94, 186, 186, 186, 169, 169, 169,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0, 222, 222, 222, 110, 110, 110,  68,  68,  68, 135, 135, 135, 123, 123, 123, 123, 123, 123, 123, 123, 123, 121, 121, 121, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118,
  118, 118, 118, 117, 117, 117, 116, 116, 116, 116, 116, 116, 115, 115, 115, 113, 113, 113, 112, 112, 112, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 107, 107, 107, 107, 107, 107, 107, 107, 107, 106, 106, 106, 104, 104, 104, 103, 103, 103, 103, 103, 103,
  102, 102, 102, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  98,  98,  98,  97,  97,  97, 108, 108, 108,  43,  43,  43,  22,  22,  22, 104, 104, 104, 104, 104, 104, 101, 101, 101, 108, 108, 108,  85,  85,  85,   0,   0,   0,
   64,  64,  64, 125, 125, 125,  48,  48,  48,   0,   0,   0,  82,  82,  82, 122, 122, 122,  77,  77,  77,   0,   0,   0,  36,  36,  36,  92,  92,  92,  64,  64,  64,   5,   5,   5,  51,  51,  51, 106, 106, 106,  35,  35,  35,   8,   8,   8, 118, 118, 118, 121, 121, 121, 119, 119, 119, 121, 121, 121, 122, 122, 122,
  125, 125, 125, 118, 118, 118,  16,  16,  16,   0,   0,   0,  73,  73,  73, 134, 134, 134, 133, 133, 133,  93,  93,  93,   0,   0,   0,  58,  58,  58, 144, 144, 144,  13,  13,  13,  90,  90,  90,  76,  76,  76,   0,   0,   0,  44,  44,  44, 133, 133, 133,  68,  68,  68,   0,   0,   0, 120, 120, 120, 144, 144, 144,
   12,  12,  12,  22,  22,  22, 144, 144, 144, 158, 158, 158,  53,  53,  53,   0,   0,   0,  61,  61,  61, 158, 158, 158, 109, 109, 109,   0,   0,   0,  78,  78,  78, 157, 157, 157, 145, 145, 145, 148, 148, 148, 149, 149, 149, 150, 150, 150, 150, 150, 150, 150, 150, 150, 152, 152, 152, 152, 152, 152, 152, 152, 152,
  153, 153, 153, 154, 154, 154, 155, 155, 155, 155, 155, 155, 156, 156, 156, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 160, 160, 160, 160, 160, 160, 161, 161, 161, 161, 161, 161, 170, 170, 170, 175, 175, 175, 183, 183, 183, 138, 138, 138,   0,   0,   0,  84,  84,  84, 144, 144, 144,
   47,  47,  47,  30,  30,  30,  99,  99,  99,   0,   0,   0,  99,  99,  99, 113, 113, 113,   3,   3,   3,  67,  67,  67, 183, 183, 183, 170, 170, 170, 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178,
  178, 178, 178, 180, 180, 180, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 191, 191, 191,
  191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 196, 196, 196, 199, 199, 199, 190, 190, 190,   7,   7,   7,  68,  68,  68, 174, 174, 174,  89,  89,  89,   8,   8,   8, 134, 134, 134,
    0,   0,   0,  92,  92,  92, 146, 146, 146,  27,  27,  27,  40,  40,  40, 206, 206, 206, 197, 197, 197, 194, 194, 194, 196, 196, 196, 192, 192, 192, 189, 189, 189, 191, 191, 191, 190, 190, 190, 178, 178, 178, 135, 135, 135, 117, 117, 117, 158, 158, 158, 169, 169, 169, 174, 174, 174, 173, 173, 173, 175, 175, 175,
  179, 179, 179, 178, 178, 178, 179, 179, 179, 187, 187, 187,  48,  48,  48, 217, 217, 217, 106, 106, 106,   0,   0,   0,   4,   4,   4,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0, 142, 142, 142, 223, 223, 223,  90,  90,  90,   0,   0,   0,  21,  21,  21,   2,   2,   2,
    0,   0,   0,   0,   0,   0,  46,  46,  46, 126, 126, 126, 158, 158, 158, 150, 150, 150, 186, 186, 186, 207, 207, 207,  30,  30,  30,   0,   0,   0, 161, 161, 161, 209, 209, 209,   0,   0,   0,  97,  97,  97, 239, 239, 239,  43,  43,  43,  36,  36,  36, 242, 242, 242, 114, 114, 114,   0,   0,   0,  75,  75,  75,
  243, 243, 243, 164, 164, 164,  62,  62,  62, 142, 142, 142, 250, 250, 250, 122, 122, 122,   0,   0,   0,   0,   0,   0, 116, 116, 116, 252, 252, 252,  46,  46,  46,   0,   0,   0,   0,   0,   0, 148, 148, 148, 243, 243, 243,  18,  18,  18,  25,  25,  25, 246, 246, 246, 174, 174, 174,   0,   0,   0,   3,   3,   3,
    0,   0,   0,  68,  68,  68, 255, 255, 255, 160, 160, 160,   0,   0,   0,   3,   3,   3,   4,   4,   4,   0,   0,   0, 128, 128, 128, 255, 255, 255,  41,  41,  41,   0,   0,   0,   6,   6,   6,   0,   0,   0,  86,  86,  86, 255, 255, 255, 115, 115, 115,   0,   0,   0,   5,   5,   5,   0,   0,   0,  79,  79,  79,
  255, 255, 255, 127, 127, 127,   0,   0,   0,   3,   3,   3,   0,   0,   0,   0,   0,   0,   2,   2,   2,   1,   1,   1,   0,   0,   0,   0,   0,   0,   3,   3,   3,   0,   0,   0, 135, 135, 135, 240, 240, 240,  63,  63,  63,   0,   0,   0,   4,   4,   4,   0,   0,   0, 148, 148, 148, 175, 175, 175,   0,   0,   0,
  112, 112, 112, 236, 236, 236,  78,  78,  78,   0,   0,   0,   4,   4,   4,   0,   0,   0, 100, 100, 100, 235, 235, 235,  71,  71,  71,  59,  59,  59, 230, 230, 230,  67,  67,  67,  14,  14,  14, 212, 212, 212, 127, 127, 127,   0,   0,   0, 167, 167, 167, 176, 176, 176,   5,   5,   5,   0,   0,   0,   1,   1,   1,
    1,   1,   1,   0,   0,   0, 217, 217, 217, 117, 117, 117,  65,  65,  65, 136, 136, 136, 123, 123, 123, 123, 123, 123, 123, 123, 123, 121, 121, 121, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 118, 118, 118, 118, 118, 118, 116, 116, 116, 116, 116, 116, 115, 115, 115, 113, 113, 113, 112, 112, 112,
  112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 107, 107, 107, 107, 107, 107, 107, 107, 107, 106, 106, 106, 104, 104, 104, 103, 103, 103, 103, 103, 103, 102, 102, 102, 101, 101, 101, 101, 101, 101, 100, 100, 100,  99,  99,  99,  98,  98,  98,  97,  97,  97,
   97,  97,  97,  97,  97,  97,  96,  96,  96,  96,  96,  96, 108, 108, 108,  49,  49,  49,  23,  23,  23, 103, 103, 103, 103, 103, 103, 101, 101, 101, 102, 102, 102, 110, 110, 110,  36,  36,  36,   1,   1,   1, 105, 105, 105,  95,  95,  95,   2,   2,   2,  12,  12,  12, 104, 104, 104, 117, 117, 117,  40,  40,  40,
    0,   0,   0,  65,  65,  65, 123, 123, 123,  18,  18,  18,   0,   0,   0,  93,  93,  93, 108, 108, 108,   0,   0,   0,  50,  50,  50, 127, 127, 127, 119, 119, 119, 124, 124, 124, 121, 121, 121, 122, 122, 122, 122, 122, 122, 133, 133, 133,  63,  63,  63,   0,   0,   0,  23,  23,  23, 125, 125, 125, 132, 132, 132,
  114, 114, 114,   0,   0,   0,  55,  55,  55, 123, 123, 123,  20,  20,  20, 125, 125, 125,  25,  25,  25,   0,   0,   0, 105, 105, 105, 142, 142, 142,   9,   9,   9,  26,  26,  26, 151, 151, 151,  98,  98,  98,   0,   0,   0,  75,  75,  75, 152, 152, 152, 127, 127, 127,   6,   6,   6,  16,  16,  16, 134, 134, 134,
  156, 156, 156,  73,  73,  73,   0,   0,   0, 112, 112, 112, 155, 155, 155, 146, 146, 146, 149, 149, 149, 149, 149, 149, 150, 150, 150, 150, 150, 150, 151, 151, 151, 152, 152, 152, 153, 153, 153, 152, 152, 152, 153, 153, 153, 155, 155, 155, 155, 155, 155, 155, 155, 155, 156, 156, 156, 157, 157, 157, 157, 157, 157,
  157, 157, 157, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 161, 161, 161, 161, 161, 161, 161, 161, 161, 162, 162, 162, 166, 166, 166,  69,  69,  69,  12,  12,  12,  20,  20,  20,  13,  13,  13, 103, 103, 103, 165, 165, 165,  47,  47,  47,  13,  13,  13,  15,  15,  15,  32,  32,  32,
  148, 148, 148, 176, 176, 176, 171, 171, 171, 173, 173, 173, 174, 174, 174, 175, 175, 175, 174, 174, 174, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 177, 177, 177, 179, 179, 179, 178, 178, 178, 179, 179, 179, 180, 180, 180, 181, 181, 181, 181, 181, 181, 182, 182, 182, 181, 181, 181, 183, 183, 183,
  183, 183, 183, 185, 185, 185, 185, 185, 185, 185, 185, 185, 186, 186, 186, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 190, 190, 190, 191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194,
  194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 196, 196, 196, 205, 205, 205, 111, 111, 111,  16,  16,  16,  24,  24,  24,  14,  14,  14,  93,  93,  93, 205, 205, 205,  81,  81,  81,  13,  13,  13,  20,  20,  20,  23,  23,  23, 148, 148, 148, 206, 206, 206, 193, 193, 193,
  195, 195, 195, 195, 195, 195, 191, 191, 191, 190, 190, 190, 191, 191, 191, 189, 189, 189, 176, 176, 176, 135, 135, 135, 117, 117, 117, 157, 157, 157, 169, 169, 169, 175, 175, 175, 173, 173, 173, 176, 176, 176, 180, 180, 180, 178, 178, 178, 177, 177, 177, 195, 195, 195,  57,  57,  57, 191, 191, 191, 134, 134, 134,
    0,   0,   0,   4,   4,   4,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0, 105, 105, 105, 207, 207, 207, 120, 120, 120,   0,   0,   0,  46,  46,  46, 188, 188, 188,  52,  52,  52,   0,   0,   0,  87,  87,  87, 206, 206, 206, 197, 197, 197, 163, 163, 163, 164, 164, 164, 187, 187, 187,
  189, 189, 189,  28,  28,  28,   0,   0,   0, 153, 153, 153, 191, 191, 191,   1,   1,   1,  96,  96,  96, 219, 219, 219,  41,  41,  41,  39,  39,  39, 222, 222, 222, 103, 103, 103,   0,   0,   0, 150, 150, 150, 214, 214, 214, 213, 213, 213, 227, 227, 227, 218, 218, 218, 211, 211, 211, 184, 184, 184,  17,  17,  17,
    0,   0,   0, 112, 112, 112, 225, 225, 225,  42,  42,  42,   0,   0,   0,   0,   0,   0, 135, 135, 135, 216, 216, 216,  15,  15,  15,  38,  38,  38, 226, 226, 226, 116, 116, 116,   0,   0,   0,   8,   8,   8,   0,   0,   0,  24,  24,  24, 215, 215, 215, 145, 145, 145,   0,   0,   0,   3,   3,   3,   4,   4,   4,
    0,   0,   0, 118, 118, 118, 225, 225, 225,  39,  39,  39,   0,   0,   0,   5,   5,   5,   0,   0,   0, 101, 101, 101, 229, 229, 229,  58,  58,  58,   0,   0,   0,   8,   8,   8,   0,   0,   0,  28,  28,  28, 215, 215, 215, 138, 138, 138,   0,   0,   0,   3,   3,   3,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0, 148, 148, 148, 199, 199, 199,  17,  17,  17,   0,   0,   0,   5,   5,   5,   1,   1,   1,   4,   4,   4,   8,   8,   8,   0,   0,   0, 125, 125, 125, 206, 206, 206,  33,  33,  33,   0,   0,   0,   8,   8,   8,   0,   0,   0,  52,  52,  52,
  211, 211, 211,  90,  90,  90,  62,  62,  62, 213, 213, 213,  63,  63,  63,  19,  19,  19, 199, 199, 199, 119, 119, 119,   0,   0,   0, 160, 160, 160, 164, 164, 164,   5,   5,   5,   0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1, 238, 238, 238,  97,  97,  97,  76,  76,  76, 134, 134, 134, 123, 123, 123,
  123, 123, 123, 123, 123, 123, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 118, 118, 118, 118, 118, 118, 116, 116, 116, 116, 116, 116, 115, 115, 115, 114, 114, 114, 112, 112, 112, 112, 112, 112, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 109, 109, 109,
  108, 108, 108, 107, 107, 107, 107, 107, 107, 106, 106, 106, 105, 105, 105, 104, 104, 104, 103, 103, 103, 102, 102, 102, 102, 102, 102, 101, 101, 101, 100, 100, 100, 100, 100, 100,  98,  98,  98,  98,  98,  98,  98,  98,  98,  97,  97,  97,  99,  99,  99, 107, 107, 107,  49,  49,  49,   9,   9,   9,  87,  87,  87,
  104, 104, 104, 106, 106, 106, 101, 101, 101, 105, 105, 105,  98,  98,  98,   3,   3,   3,  29,  29,  29, 110, 110, 110,  42,  42,  42,   1,   1,   1,  41,  41,  41, 118, 118, 118, 104, 104, 104,   7,   7,   7,  16,  16,  16, 119, 119, 119,  93,  93,  93,   0,   0,   0,  42,  42,  42, 134, 134, 134,  62,  62,  62,
    0,   0,   0,  92,  92,  92, 131, 131, 131, 120, 120, 120, 106, 106, 106, 122, 122, 122, 127, 127, 127, 122, 122, 122, 128, 128, 128, 108, 108, 108,   3,   3,   3,   0,   0,   0, 100, 100, 100, 135, 135, 135, 125, 125, 125,   3,   3,   3,  58,  58,  58,  74,  74,  74,  69,  69,  69, 116, 116, 116,   0,   0,   0,
   57,  57,  57, 153, 153, 153,  98,  98,  98,   0,   0,   0,  80,  80,  80, 156, 156, 156,  48,  48,  48,   0,   0,   0, 125, 125, 125, 155, 155, 155,  89,  89,  89,   0,   0,   0,  90,  90,  90, 162, 162, 162, 149, 149, 149,  37,  37,  37,  19,  19,  19, 148, 148, 148, 147, 147, 147, 147, 147, 147, 149, 149, 149,
  149, 149, 149, 150, 150, 150, 150, 150, 150, 151, 151, 151, 152, 152, 152, 152, 152, 152, 152, 152, 152, 153, 153, 153, 155, 155, 155, 155, 155, 155, 155, 155, 155, 156, 156, 156, 157, 157, 157, 157, 157, 157, 157, 157, 157, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 161, 161, 161,
  162, 162, 162, 164, 164, 164, 164, 164, 164, 167, 167, 167, 171, 171, 171, 163, 163, 163, 165, 165, 165, 166, 166, 166, 172, 172, 172, 172, 172, 172, 173, 173, 173, 168, 168, 168, 169, 169, 169, 174, 174, 174, 176, 176, 176, 171, 171, 171, 173, 173, 173, 173, 173, 173, 174, 174, 174, 175, 175, 175, 174, 174, 174,
  176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 177, 177, 177, 179, 179, 179, 178, 178, 178, 179, 179, 179, 180, 180, 180, 181, 181, 181, 181, 181, 181, 182, 182, 182, 181, 181, 181, 183, 183, 183, 183, 183, 183, 184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 186, 186, 186, 187, 187, 187,
  187, 187, 187, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 195, 195, 195, 197, 197, 197, 197, 197, 197, 197, 197, 197,
  198, 198, 198, 206, 206, 206, 197, 197, 197, 197, 197, 197, 198, 198, 198, 207, 207, 207, 203, 203, 203, 205, 205, 205, 199, 199, 199, 197, 197, 197, 198, 198, 198, 205, 205, 205, 197, 197, 197, 194, 194, 194, 195, 195, 195, 195, 195, 195, 190, 190, 190, 190, 190, 190, 191, 191, 191, 188, 188, 188, 174, 174, 174,
  135, 135, 135, 117, 117, 117, 157, 157, 157, 169, 169, 169, 174, 174, 174, 173, 173, 173, 175, 175, 175, 179, 179, 179, 179, 179, 179, 176, 176, 176, 197, 197, 197,  77,  77,  77, 149, 149, 149, 185, 185, 185,   0,   0,   0,   3,   3,   3,   0,   0,   0,   0,   0,   0,   2,   2,   2,   0,   0,   0,  64,  64,  64,
  174, 174, 174, 139, 139, 139,  21,  21,  21,   0,   0,   0,  71,  71,  71, 188, 188, 188,  67,  67,  67,   1,   1,   1, 163, 163, 163, 158, 158, 158,  27,  27,  27,   0,   0,   0,  20,  20,  20, 135, 135, 135, 172, 172, 172,  29,  29,  29,   0,   0,   0, 136, 136, 136, 169, 169, 169,   2,   2,   2,  84,  84,  84,
  192, 192, 192,  40,  40,  40,  34,  34,  34, 195, 195, 195,  84,  84,  84,  23,  23,  23, 183, 183, 183, 144, 144, 144,  62,  62,  62,  68,  68,  68,  60,  60,  60, 127, 127, 127, 193, 193, 193,  77,  77,  77,   0,   0,   0,  94,  94,  94, 196, 196, 196,  57,  57,  57,   0,   0,   0,  29,  29,  29, 153, 153, 153,
  180, 180, 180,  22,  22,  22,  12,  12,  12, 176, 176, 176, 163, 163, 163,  31,  31,  31,   0,   0,   0,   0,   0,   0,  97,  97,  97, 195, 195, 195, 127, 127, 127,   0,   0,   0,   1,   1,   1,   9,   9,   9,   0,   0,   0, 108, 108, 108, 194, 194, 194,  44,  44,  44,   2,   2,   2,   7,   7,   7,   0,   0,   0,
   57,  57,  57, 197, 197, 197, 127, 127, 127,  10,  10,  10,   0,   0,   0,   3,   3,   3, 103, 103, 103, 198, 198, 198,  87,  87,  87,   0,   0,   0,   3,   3,   3,   0,   0,   0,   0,   0,   0,  34,  34,  34,  25,  25,  25,   0,   0,   0,   1,   1,   1,   2,   2,   2,   0,   0,   0, 108, 108, 108, 190, 190, 190,
   73,  73,  73,   0,   0,   0,   1,   1,   1,   0,   0,   0,  27,  27,  27,  83,  83,  83,   6,   6,   6,  76,  76,  76, 191, 191, 191, 102, 102, 102,   4,   4,   4,   0,   0,   0,  10,  10,  10, 118, 118, 118, 187, 187, 187,  48,  48,  48,  58,  58,  58, 188, 188, 188,  59,  59,  59,  16,  16,  16, 175, 175, 175,
  109, 109, 109,   0,   0,   0, 141, 141, 141, 148, 148, 148,   7,   7,   7,   0,   0,   0,   2,   2,   2,   0,   0,   0,  37,  37,  37, 249, 249, 249,  57,  57,  57, 101, 101, 101, 130, 130, 130, 123, 123, 123, 124, 124, 124, 124, 124, 124, 123, 123, 123, 121, 121, 121, 120, 120, 120, 120, 120, 120, 119, 119, 119,
  118, 118, 118, 118, 118, 118, 117, 117, 117, 116, 116, 116, 116, 116, 116, 115, 115, 115, 113, 113, 113, 112, 112, 112, 112, 112, 112, 111, 111, 111, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 109, 109, 109, 108, 108, 108, 107, 107, 107, 106, 106, 106, 105, 105, 105, 105, 105, 105, 104, 104, 104,
  103, 103, 103, 102, 102, 102, 102, 102, 102, 101, 101, 101, 100, 100, 100,  99,  99,  99,  99,  99,  99,  98,  98,  98, 100, 100, 100,  95,  95,  95,  31,  31,  31,  10,  10,  10,  10,  10,  10,   0,   0,   0,  16,  16,  16,  68,  68,  68, 108, 108, 108, 107, 107, 107,  87,  87,  87,   0,   0,   0,  14,  14,  14,
   38,  38,  38,  58,  58,  58,   0,   0,   0,  53,  53,  53, 124, 124, 124,  70,  70,  70,   0,   0,   0,  66,  66,  66, 129, 129, 129,  45,  45,  45,   0,   0,   0,  95,  95,  95, 124, 124, 124,  20,  20,  20,   0,   0,   0, 112, 112, 112,  98,  98,  98,  35,  35,  35,  24,  24,  24,  19,  19,  19, 106, 106, 106,
  128, 128, 128, 124, 124, 124, 126, 126, 126,  23,  23,  23,   0,   0,   0,  85,  85,  85, 136, 136, 136, 130, 130, 130,  19,  19,  19,  36,  36,  36,  49,  49,  49, 132, 132, 132,  53,  53,  53,   0,   0,   0, 111, 111, 111, 148, 148, 148,  52,  52,  52,   0,   0,   0, 108, 108, 108, 137, 137, 137,   8,   8,   8,
    8,   8,   8, 115, 115, 115, 147, 147, 147,  28,  28,  28,   9,   9,   9, 118, 118, 118,  86,  86,  86, 132, 132, 132,   5,   5,   5,  99,  99,  99, 156, 156, 156, 145, 145, 145, 148, 148, 148, 149, 149, 149, 150, 150, 150, 150, 150, 150, 151, 151, 151, 152, 152, 152, 153, 153, 153, 152, 152, 152, 152, 152, 152,
  154, 154, 154, 155, 155, 155, 155, 155, 155, 156, 156, 156, 156, 156, 156, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 160, 160, 160, 160, 160, 160, 161, 161, 161, 161, 161, 161, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 164, 164, 164, 167, 167, 167, 168, 168, 168,
  168, 168, 168, 166, 166, 166, 168, 168, 168, 169, 169, 169, 171, 171, 171, 172, 172, 172, 171, 171, 171, 170, 170, 170, 172, 172, 172, 173, 173, 173, 174, 174, 174, 175, 175, 175, 174, 174, 174, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 179, 179, 179, 179, 179, 179,
  180, 180, 180, 180, 180, 180, 181, 181, 181, 182, 182, 182, 181, 181, 181, 182, 182, 182, 183, 183, 183, 184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 185, 185, 185, 187, 187, 187, 187, 187, 187, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 189, 189, 189, 190, 190, 190, 191, 191, 191,
  191, 191, 191, 192, 192, 192, 193, 193, 193, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 195, 196, 196, 196, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 200, 200, 200, 200, 200, 200, 201, 201, 201, 199, 199, 199, 198, 198, 198,
  198, 198, 198, 202, 202, 202, 199, 199, 199, 198, 198, 198, 197, 197, 197, 199, 199, 199, 194, 194, 194, 195, 195, 195, 195, 195, 195, 190, 190, 190, 190, 190, 190, 192, 192, 192, 188, 188, 188, 174, 174, 174, 136, 136, 136, 117, 117, 117, 158, 158, 158, 167, 167, 167, 172, 172, 172, 174, 174, 174, 173, 173, 173,
  177, 177, 177, 179, 179, 179, 176, 176, 176, 191, 191, 191, 128, 128, 128,  76,  76,  76, 240, 240, 240,  16,  16,  16,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   2,   2,   2, 123, 123, 123, 141, 141, 141, 130, 130, 130, 126, 126, 126, 130, 130, 130, 131, 131, 131, 149, 149, 149,  63,  63,  63,
    0,   0,   0, 126, 126, 126, 143, 143, 143, 105, 105, 105, 111, 111, 111, 142, 142, 142, 148, 148, 148, 143, 143, 143, 127, 127, 127, 107, 107, 107, 142, 142, 142, 151, 151, 151,  97,  97,  97,  83,  83,  83, 159, 159, 159, 122, 122, 122,  64,  64,  64, 151, 151, 151, 147, 147, 147, 148, 148, 148, 148, 148, 148,
  145, 145, 145,  88,  88,  88,   0,   0,   0,  71,  71,  71, 143, 143, 143, 148, 148, 148, 154, 154, 154,  72,  72,  72,  40,  40,  40, 163, 163, 163, 140, 140, 140, 115, 115, 115, 150, 150, 150, 160, 160, 160, 152, 152, 152, 123, 123, 123,   1,   1,   1,  80,  80,  80, 168, 168, 168, 147, 147, 147, 114, 114, 114,
  130, 130, 130, 162, 162, 162, 151, 151, 151, 153, 153, 153, 102, 102, 102,  60,  60,  60, 143, 143, 143, 138, 138, 138, 146, 146, 146, 152, 152, 152, 141, 141, 141, 141, 141, 141, 123, 123, 123,  12,  12,  12,   0,   0,   0, 113, 113, 113, 168, 168, 168, 136, 136, 136, 108, 108, 108, 129, 129, 129, 164, 164, 164,
  132, 132, 132,  13,  13,  13,   0,   0,   0,   3,   3,   3,   0,   0,   0,  47,  47,  47, 157, 157, 157, 141, 141, 141,  18,  18,  18,   0,   0,   0,   2,   2,   2,   0,   0,   0,  31,  31,  31, 148, 148, 148, 155, 155, 155, 122, 122, 122, 106, 106, 106, 114, 114, 114, 143, 143, 143, 172, 172, 172,  44,  44,  44,
    2,   2,   2, 127, 127, 127, 158, 158, 158, 124, 124, 124, 103, 103, 103, 129, 129, 129, 159, 159, 159, 105, 105, 105,  37,  37,  37, 135, 135, 135, 142, 142, 142, 128, 128, 128,  61,  61,  61, 135, 135, 135, 142, 142, 142,  65,  65,  65, 113, 113, 113, 147, 147, 147,  93,  93,  93,   0,   0,   0,   4,   4,   4,
    0,   0,   0, 117, 117, 117, 229, 229, 229,  32,  32,  32, 128, 128, 128, 127, 127, 127, 125, 125, 125, 124, 124, 124, 125, 125, 125, 124, 124, 124, 123, 123, 123, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 118, 118, 118, 119, 119, 119, 117, 117, 117, 116, 116, 116, 115, 115, 115,
  115, 115, 115, 114, 114, 114, 112, 112, 112, 112, 112, 112, 112, 112, 112, 111, 111, 111, 110, 110, 110, 109, 109, 109, 109, 109, 109, 109, 109, 109, 108, 108, 108, 107, 107, 107, 106, 106, 106, 106, 106, 106, 105, 105, 105, 104, 104, 104, 103, 103, 103, 102, 102, 102, 102, 102, 102, 101, 101, 101, 100, 100, 100,
  100, 100, 100, 104, 104, 104,  28,  28,  28,   2,   2,   2,  97,  97,  97,  90,  90,  90,  17,  17,  17,   0,   0,   0,   0,   0,   0,  64,  64,  64, 114, 114, 114, 103, 103, 103,  36,  36,  36,  21,  21,  21,  91,  91,  91,  84,  84,  84,   9,   9,   9,  63,  63,  63, 121, 121, 121,  61,  61,  61,  27,  27,  27,
  106, 106, 106, 120, 120, 120,  42,  42,  42,  42,  42,  42, 120, 120, 120, 117, 117, 117,  28,  28,  28,  32,  32,  32, 104, 104, 104,   8,   8,   8,  65,  65,  65, 107, 107, 107,   0,   0,   0,  71,  71,  71, 135, 135, 135, 123, 123, 123, 130, 130, 130,  33,  33,  33,   0,   0,   0,  94,  94,  94, 136, 136, 136,
  134, 134, 134,  33,  33,  33,   0,   0,   0, 100, 100, 100, 141, 141, 141,  45,  45,  45,  51,  51,  51, 135, 135, 135, 141, 141, 141,  51,  51,  51,  26,  26,  26, 116, 116, 116, 132, 132, 132,  26,  26,  26,  38,  38,  38, 109, 109, 109, 136, 136, 136,  32,  32,  32,  84,  84,  84, 119, 119, 119,   2,   2,   2,
   42,  42,  42,  80,  80,  80, 155, 155, 155, 146, 146, 146, 149, 149, 149, 149, 149, 149, 150, 150, 150, 151, 151, 151, 152, 152, 152, 152, 152, 152, 152, 152, 152, 153, 153, 153, 154, 154, 154, 154, 154, 154, 155, 155, 155, 155, 155, 155, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159,
  159, 159, 159, 160, 160, 160, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 167, 167, 168, 168, 168, 168, 168, 168, 169, 169, 169, 170, 170, 170, 170, 170, 170, 170, 170, 170, 171, 171, 171, 172, 172, 172,
  173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 178, 178, 178, 178, 178, 178, 179, 179, 179, 179, 179, 179, 180, 180, 180, 180, 180, 180, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184,
  185, 185, 185, 185, 185, 185, 186, 186, 186, 186, 186, 186, 186, 186, 186, 187, 187, 187, 188, 188, 188, 188, 188, 188, 188, 188, 188, 190, 190, 190, 190, 190, 190, 190, 190, 190, 191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192, 192, 193, 193, 193, 193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194,
  195, 195, 195, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 200, 200, 200, 199, 199, 199, 200, 200, 200, 199, 199, 199, 198, 198, 198, 199, 199, 199, 200, 200, 200, 198, 198, 198, 197, 197, 197, 198, 198, 198, 199, 199, 199, 199, 199, 199, 195, 195, 195,
  195, 195, 195, 196, 196, 196, 190, 190, 190, 190, 190, 190, 191, 191, 191, 187, 187, 187, 175, 175, 175, 138, 138, 138, 118, 118, 118, 158, 158, 158, 168, 168, 168, 170, 170, 170, 170, 170, 170, 173, 173, 173, 174, 174, 174, 175, 175, 175, 179, 179, 179, 179, 179, 179, 179, 179, 179,  41,  41,  41, 225, 225, 225,
  119, 119, 119,   0,   0,   0,   4,   4,   4,   0,   0,   0,   0,   0,   0,   3,   3,   3,  88,  88,  88, 101, 101, 101, 100, 100, 100, 103, 103, 103, 102, 102, 102,  99,  99,  99, 108, 108, 108,  50,  50,  50,   0,   0,   0,  31,  31,  31, 101, 101, 101, 120, 120, 120, 120, 120, 120,  99,  99,  99,  97,  97,  97,
  105, 105, 105,  98,  98,  98,  84,  84,  84, 102, 102, 102, 108, 108, 108,  76,  76,  76,  62,  62,  62, 113, 113, 113,  90,  90,  90,  50,  50,  50, 107, 107, 107, 110, 110, 110, 110, 110, 110, 103, 103, 103, 110, 110, 110,  82,  82,  82,   0,   0,   0,  66,  66,  66, 113, 113, 113, 103, 103, 103, 111, 111, 111,
   65,  65,  65,   0,   0,   0,  64,  64,  64, 115, 115, 115, 125, 125, 125,  93,  93,  93,  90,  90,  90, 112, 112, 112,  91,  91,  91,   6,   6,   6,   0,   0,   0,  64,  64,  64, 113, 113, 113, 125, 125, 125, 117, 117, 117,  87,  87,  87, 105, 105, 105, 112, 112, 112,  82,  82,  82,  46,  46,  46, 111, 111, 111,
  109, 109, 109, 108, 108, 108, 106, 106, 106, 108, 108, 108, 111, 111, 111,  97,  97,  97,  10,  10,  10,   0,   0,   0,  10,  10,  10,  76,  76,  76, 118, 118, 118, 128, 128, 128, 120, 120, 120,  87,  87,  87,  18,  18,  18,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,  37,  37,  37, 122, 122, 122,
  108, 108, 108,  14,  14,  14,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,  34,  34,  34,  95,  95,  95, 117, 117, 117, 124, 124, 124, 120, 120, 120, 105, 105, 105,  56,  56,  56,   1,   1,   1,   0,   0,   0,  16,  16,  16,  83,  83,  83, 116, 116, 116, 122, 122, 122, 113, 113, 113,  77,  77,  77,
    6,   6,   6,  25,  25,  25, 101, 101, 101, 101, 101, 101,  96,  96,  96,  48,  48,  48,  98,  98,  98, 103, 103, 103,  52,  52,  52,  83,  83,  83, 107, 107, 107,  71,  71,  71,   0,   0,   0,   1,   1,   1,   3,   3,   3, 227, 227, 227, 130, 130, 130,  55,  55,  55, 140, 140, 140, 126, 126, 126, 126, 126, 126,
  126, 126, 126, 126, 126, 126, 125, 125, 125, 124, 124, 124, 123, 123, 123, 122, 122, 122, 121, 121, 121, 121, 121, 121, 120, 120, 120, 118, 118, 118, 119, 119, 119, 118, 118, 118, 117, 117, 117, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 113, 113, 113, 112, 112, 112, 111, 111, 111,
  110, 110, 110, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 107, 107, 107, 107, 107, 107, 105, 105, 105, 105, 105, 105, 104, 104, 104, 103, 103, 103, 102, 102, 102, 101, 101, 101, 101, 101, 101, 101, 101, 101, 104, 104, 104,  44,  44,  44,  60,  60,  60, 107, 107, 107, 106, 106, 106,  97,  97,  97,
   20,  20,  20,   0,   0,   0,   4,   4,   4,  87,  87,  87, 115, 115, 115, 113, 113, 113,  85,  85,  85,  72,  72,  72, 112, 112, 112, 112, 112, 112, 116, 116, 116, 112, 112, 112, 116, 116, 116, 120, 120, 120, 117, 117, 117, 117, 117, 117, 122, 122, 122, 123, 123, 123, 119, 119, 119, 121, 121, 121, 119, 119, 119,
  131, 131, 131,  94,  94,  94,   0,   0,   0,  95,  95,  95, 131, 131, 131,  96,  96,  96, 117, 117, 117, 128, 128, 128, 125, 125, 125, 130, 130, 130,  21,  21,  21,   3,   3,   3, 119, 119, 119, 131, 131, 131, 141, 141, 141,  32,  32,  32,  48,  48,  48, 144, 144, 144, 132, 132, 132, 140, 140, 140, 141, 141, 141,
  136, 136, 136, 137, 137, 137, 138, 138, 138, 144, 144, 144, 144, 144, 144, 141, 141, 141, 141, 141, 141, 149, 149, 149, 149, 149, 149, 143, 143, 143, 150, 150, 150, 150, 150, 150, 147, 147, 147, 118, 118, 118, 121, 121, 121, 155, 155, 155, 147, 147, 147, 149, 149, 149, 150, 150, 150, 150, 150, 150, 150, 150, 150,
  152, 152, 152, 153, 153, 153, 153, 153, 153, 153, 153, 153, 154, 154, 154, 155, 155, 155, 154, 154, 154, 155, 155, 155, 157, 157, 157, 158, 158, 158, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 159, 159, 159, 161, 161, 161, 162, 162, 162, 163, 163, 163, 163, 163, 163, 164, 164, 164, 164, 164, 164,
  165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 167, 167, 168, 168, 168, 168, 168, 168, 169, 169, 169, 169, 169, 169, 170, 170, 170, 170, 170, 170, 171, 171, 171, 172, 172, 172, 172, 172, 172, 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 177, 177, 177, 176, 176, 176,
  178, 178, 178, 178, 178, 178, 179, 179, 179, 179, 179, 179, 179, 179, 179, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 183, 183, 183, 184, 184, 184, 183, 183, 183, 184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189,
  189, 189, 189, 190, 190, 190, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193, 193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 195, 195, 195, 195, 196, 196, 196, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 199, 199, 199, 199, 199, 199,
  200, 200, 200, 200, 200, 200, 201, 201, 201, 199, 199, 199, 199, 199, 199, 200, 200, 200, 201, 201, 201, 202, 202, 202, 200, 200, 200, 198, 198, 198, 199, 199, 199, 201, 201, 201, 200, 200, 200, 196, 196, 196, 197, 197, 197, 196, 196, 196, 191, 191, 191, 192, 192, 192, 191, 191, 191, 187, 187, 187, 176, 176, 176,
  138, 138, 138, 118, 118, 118, 155, 155, 155, 167, 167, 167, 170, 170, 170, 169, 169, 169, 172, 172, 172, 175, 175, 175, 174, 174, 174, 177, 177, 177, 177, 177, 177, 193, 193, 193,  96,  96,  96,  91,  91,  91, 244, 244, 244,  24,  24,  24,   0,   0,   0,   3,   3,   3,   0,   0,   0,   0,   0,   0,   1,   1,   1,
    1,   1,   1,   1,   1,   1,   1,   1,   1,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   3,   3,   3,  14,  14,  14,  13,  13,  13,   2,   2,   2,   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,   0,   0,   0,   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,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   6,   6,   6,  10,  10,  10,   1,   1,   1,   0,   0,   0,
    1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   4,   4,   4,  14,  14,  14,   6,   6,   6,   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,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    0,   0,   0,   1,   1,   1,   0,   0,   0,   7,   7,   7,  17,  17,  17,  10,  10,  10,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  13,  13,  13,   9,   9,   9,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,
    0,   0,   0,   8,   8,   8,  16,  16,  16,  12,  12,  12,   2,   2,   2,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,  10,  10,  10,  17,  17,  17,   8,   8,   8,   0,   0,   0,   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,   1,   1,   1,   1,   1,   1,   0,   0,   0,   5,   5,   5,   0,   0,   0, 122, 122, 122, 236, 236, 236,  31,  31,  31, 117, 117, 117, 132, 132, 132, 128, 128, 128, 128, 128, 128, 127, 127, 127, 126, 126, 126, 125, 125, 125, 125, 125, 125, 124, 124, 124, 123, 123, 123, 123, 123, 123,
  122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119, 118, 118, 118, 118, 118, 118, 117, 117, 117, 117, 117, 117, 116, 116, 116, 115, 115, 115, 115, 115, 115, 114, 114, 114, 113, 113, 113, 112, 112, 112, 112, 112, 112, 111, 111, 111, 110, 110, 110, 110, 110, 110, 109, 109, 109, 108, 108, 108, 108, 108, 108,
  107, 107, 107, 106, 106, 106, 106, 106, 106, 105, 105, 105, 104, 104, 104, 103, 103, 103, 102, 102, 102, 102, 102, 102, 102, 102, 102, 108, 108, 108, 107, 107, 107, 103, 103, 103, 102, 102, 102, 109, 109, 109, 101, 101, 101,  25,  25,  25,   0,   0,   0,  14,  14,  14,  98,  98,  98, 118, 118, 118,  19,  19,  19,
   10,  10,  10, 110, 110, 110, 113, 113, 113, 111, 111, 111, 114, 114, 114, 115, 115, 115, 115, 115, 115, 117, 117, 117, 119, 119, 119, 119, 119, 119, 118, 118, 118, 120, 120, 120, 121, 121, 121, 121, 121, 121, 126, 126, 126, 103, 103, 103,   0,   0,   0,  67,  67,  67, 140, 140, 140, 130, 130, 130, 127, 127, 127,
  125, 125, 125, 142, 142, 142, 101, 101, 101,   0,   0,   0,  71,  71,  71, 142, 142, 142, 138, 138, 138, 116, 116, 116,  34,  34,  34, 130, 130, 130, 136, 136, 136, 134, 134, 134, 135, 135, 135, 135, 135, 135, 137, 137, 137, 138, 138, 138, 139, 139, 139, 139, 139, 139, 140, 140, 140, 141, 141, 141, 142, 142, 142,
  141, 141, 141, 142, 142, 142, 145, 145, 145, 144, 144, 144, 144, 144, 144, 146, 146, 146, 153, 153, 153, 153, 153, 153, 146, 146, 146, 149, 149, 149, 149, 149, 149, 150, 150, 150, 150, 150, 150, 151, 151, 151, 152, 152, 152, 153, 153, 153, 153, 153, 153, 154, 154, 154, 155, 155, 155, 155, 155, 155, 155, 155, 155,
  156, 156, 156, 158, 158, 158, 158, 158, 158, 158, 158, 158, 159, 159, 159, 160, 160, 160, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 163, 163, 163, 163, 163, 163, 163, 163, 163, 164, 164, 164, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168, 168, 168, 168, 168, 168, 168, 170, 170, 170,
  170, 170, 170, 170, 170, 170, 171, 171, 171, 172, 172, 172, 172, 172, 172, 173, 173, 173, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 176, 176, 176, 177, 177, 177, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 179, 179, 179, 179, 179, 179, 180, 180, 180, 181, 181, 181, 181, 181, 181,
  182, 182, 182, 183, 183, 183, 183, 183, 183, 183, 183, 183, 184, 184, 184, 184, 184, 184, 185, 185, 185, 186, 186, 186, 187, 187, 187, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 189, 189, 189, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 192, 192, 193, 193, 193,
  193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 196, 196, 196, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 199, 199, 199, 200, 200, 200, 201, 201, 201, 199, 199, 199, 198, 198, 198, 200, 200, 200, 201, 201, 201, 201, 201, 201,
  202, 202, 202, 200, 200, 200, 199, 199, 199, 200, 200, 200, 199, 199, 199, 197, 197, 197, 197, 197, 197, 195, 195, 195, 193, 193, 193, 191, 191, 191, 191, 191, 191, 188, 188, 188, 186, 186, 186, 175, 175, 175, 141, 141, 141, 116, 116, 116, 154, 154, 154, 165, 165, 165, 168, 168, 168, 167, 167, 167, 171, 171, 171,
  174, 174, 174, 172, 172, 172, 175, 175, 175, 178, 178, 178, 177, 177, 177, 182, 182, 182,  34,  34,  34, 181, 181, 181, 207, 207, 207,   2,   2,   2,   0,   0,   0,   4,   4,   4,   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,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   0,   0,   0,   0,   0,   0,   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,
    0,   0,   0,   1,   1,   1,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   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,   2,   2,   2,   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,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   2,   2,   2,   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,   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,   0,   0,   0,   0,   0,   0,   0,   0,   2,   2,   2,   0,   0,   0,
    0,   0,   0,   1,   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,   0,   0,   0,   1,   1,   1,   1,   1,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1,   0,   0,   0,   2,   2,   2,   6,   6,   6,   0,   0,   0,  72,  72,  72,
  255, 255, 255,  73,  73,  73,  70,  70,  70, 143, 143, 143, 129, 129, 129, 130, 130, 130, 130, 130, 130, 129, 129, 129, 129, 129, 129, 128, 128, 128, 127, 127, 127, 126, 126, 126, 125, 125, 125, 125, 125, 125, 124, 124, 124, 124, 124, 124, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 119, 119, 119,
  118, 118, 118, 118, 118, 118, 117, 117, 117, 117, 117, 117, 117, 117, 117, 116, 116, 116, 115, 115, 115, 114, 114, 114, 114, 114, 114, 113, 113, 113, 112, 112, 112, 111, 111, 111, 110, 110, 110, 110, 110, 110, 109, 109, 109, 109, 109, 109, 108, 108, 108, 107, 107, 107, 107, 107, 107, 105, 105, 105, 105, 105, 105,
  105, 105, 105, 105, 105, 105, 104, 104, 104, 104, 104, 104, 106, 106, 106, 107, 107, 107, 106, 106, 106, 112, 112, 112, 109, 109, 109,  60,  60,  60,  13,  13,  13,  20,  20,  20,  44,  44,  44,  19,  19,  19,  81,  81,  81, 118, 118, 118, 114, 114, 114, 116, 116, 116, 117, 117, 117, 118, 118, 118, 119, 119, 119,
  119, 119, 119, 120, 120, 120, 121, 121, 121, 121, 121, 121, 122, 122, 122, 124, 124, 124, 124, 124, 124, 124, 124, 124, 131, 131, 131,  52,  52,  52,   0,   0,   0,  81,  81,  81, 129, 129, 129, 133, 133, 133, 131, 131, 131,  96,  96,  96,   8,   8,   8,  54,  54,  54, 110, 110, 110, 118, 118, 118, 120, 120, 120,
   37,  37,  37, 111, 111, 111, 142, 142, 142, 134, 134, 134, 137, 137, 137, 138, 138, 138, 138, 138, 138, 139, 139, 139, 140, 140, 140, 141, 141, 141, 141, 141, 141, 142, 142, 142, 143, 143, 143, 143, 143, 143, 144, 144, 144, 145, 145, 145, 146, 146, 146, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147,
  148, 148, 148, 150, 150, 150, 150, 150, 150, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 154, 154, 154, 155, 155, 155, 155, 155, 155, 155, 155, 155, 156, 156, 156, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 160, 160, 160, 160, 160, 160, 160, 160, 160, 161, 161, 161, 161, 161, 161,
  162, 162, 162, 163, 163, 163, 163, 163, 163, 164, 164, 164, 165, 165, 165, 165, 165, 165, 166, 166, 166, 167, 167, 167, 168, 168, 168, 168, 168, 168, 169, 169, 169, 169, 169, 169, 170, 170, 170, 171, 171, 171, 171, 171, 171, 171, 171, 171, 172, 172, 172, 173, 173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 174,
  175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 178, 178, 178, 180, 180, 180, 181, 181, 181, 181, 181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 182, 183, 183, 183, 184, 184, 184, 184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186,
  187, 187, 187, 187, 187, 187, 188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 190, 190, 190, 190, 190, 190, 191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192, 193, 193, 193, 194, 194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 195, 196, 196, 196, 196, 196, 196, 196, 196, 196, 197, 197, 197,
  197, 197, 197, 198, 198, 198, 198, 198, 198, 198, 198, 198, 199, 199, 199, 200, 200, 200, 199, 199, 199, 199, 199, 199, 200, 200, 200, 198, 198, 198, 197, 197, 197, 198, 198, 198, 199, 199, 199, 199, 199, 199, 199, 199, 199, 196, 196, 196, 196, 196, 196, 196, 196, 196, 194, 194, 194, 193, 193, 193, 193, 193, 193,
  190, 190, 190, 189, 189, 189, 187, 187, 187, 186, 186, 186, 186, 186, 186, 184, 184, 184, 172, 172, 172, 143, 143, 143, 113, 113, 113, 149, 149, 149, 163, 163, 163, 165, 165, 165, 164, 164, 164, 166, 166, 166, 169, 169, 169, 169, 169, 169, 171, 171, 171, 175, 175, 175, 172, 172, 172, 181, 181, 181, 145, 145, 145,
   21,  21,  21, 215, 215, 215, 210, 210, 210,  19,  19,  19,   0,   0,   0,   1,   1,   1,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   4,   4,   4,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   4,   4,   4,
    4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,
    4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   3,   3,   3,
    3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   2,   2,   2,   2,   2,   2,   0,   0,   0,  91,  91,  91, 255, 255, 255, 107, 107, 107,  37,  37,  37, 145, 145, 145, 133, 133, 133, 134, 134, 134, 133, 133, 133, 132, 132, 132,
  132, 132, 132, 131, 131, 131, 131, 131, 131, 130, 130, 130, 129, 129, 129, 128, 128, 128, 128, 128, 128, 127, 127, 127, 126, 126, 126, 125, 125, 125, 125, 125, 125, 124, 124, 124, 123, 123, 123, 122, 122, 122, 122, 122, 122, 121, 121, 121, 120, 120, 120, 120, 120, 120, 119, 119, 119, 119, 119, 119, 119, 119, 119,
  118, 118, 118, 117, 117, 117, 116, 116, 116, 116, 116, 116, 114, 114, 114, 113, 113, 113, 113, 113, 113, 112, 112, 112, 111, 111, 111, 111, 111, 111, 110, 110, 110, 110, 110, 110, 109, 109, 109, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 109, 109, 109, 109, 109, 109, 110, 110, 110, 111, 111, 111,
  110, 110, 110, 112, 112, 112, 119, 119, 119, 114, 114, 114,  99,  99,  99,  94,  94,  94, 115, 115, 115, 122, 122, 122, 117, 117, 117, 118, 118, 118, 119, 119, 119, 120, 120, 120, 120, 120, 120, 121, 121, 121, 122, 122, 122, 123, 123, 123, 124, 124, 124, 124, 124, 124, 125, 125, 125, 126, 126, 126, 127, 127, 127,
  127, 127, 127, 128, 128, 128, 132, 132, 132,  78,  78,  78,  29,  29,  29,  45,  45,  45,  57,  57,  57,  50,  50,  50,  42,  42,  42,  93,  93,  93, 144, 144, 144,  27,  27,  27,   0,   0,   0,  27,  27,  27, 107, 107, 107, 146, 146, 146, 136, 136, 136, 139, 139, 139, 140, 140, 140, 141, 141, 141, 140, 140, 140,
  141, 141, 141, 142, 142, 142, 143, 143, 143, 144, 144, 144, 145, 145, 145, 146, 146, 146, 146, 146, 146, 147, 147, 147, 148, 148, 148, 149, 149, 149, 149, 149, 149, 150, 150, 150, 150, 150, 150, 151, 151, 151, 152, 152, 152, 152, 152, 152, 153, 153, 153, 153, 153, 153, 154, 154, 154, 154, 154, 154, 155, 155, 155,
  156, 156, 156, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 167, 167, 167, 167, 167, 168, 168, 168,
  169, 169, 169, 170, 170, 170, 170, 170, 170, 171, 171, 171, 171, 171, 171, 172, 172, 172, 173, 173, 173, 173, 173, 173, 173, 173, 173, 174, 174, 174, 175, 175, 175, 175, 175, 175, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 178, 178, 178, 178, 178, 178, 179, 179, 179, 180, 180, 180, 180, 180, 180,
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  151, 151, 151, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 153, 153, 153, 155, 155, 155, 155, 155, 155, 155, 155, 155, 154, 154, 154, 154, 154, 154, 157, 157, 157, 157, 157, 157, 157, 157, 157, 160, 160, 160, 160, 160, 160, 160, 160, 160, 159, 159, 159, 161, 161, 161,
  165, 165, 165, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 166, 166, 166, 168, 168, 168, 168, 168, 168, 167, 167, 167, 169, 169, 169, 171, 171, 171, 171, 171, 171, 172, 172, 172, 172, 172, 172, 173, 173, 173, 174, 174, 174, 174, 174, 174, 175, 175, 175, 175, 175, 175,
  177, 177, 177, 177, 177, 177, 177, 177, 177, 178, 178, 178, 180, 180, 180, 182, 182, 182, 182, 182, 182, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 182, 181, 181, 181, 184, 184, 184, 186, 186, 186, 186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 189, 189, 189, 189, 189, 189, 189, 189, 189,
  191, 191, 191, 192, 192, 192, 191, 191, 191, 191, 191, 191, 191, 191, 191, 193, 193, 193, 194, 194, 194, 193, 193, 193, 194, 194, 194, 195, 195, 195, 195, 195, 195, 196, 196, 196, 195, 195, 195, 195, 195, 195, 195, 195, 195, 196, 196, 196, 197, 197, 197, 197, 197, 197, 196, 196, 196, 195, 195, 195, 196, 196, 196,
  196, 196, 196, 196, 196, 196, 196, 196, 196, 197, 197, 197, 196, 196, 196, 197, 197, 197, 196, 196, 196, 197, 197, 197, 196, 196, 196, 195, 195, 195, 195, 195, 195, 196, 196, 196, 194, 194, 194, 194, 194, 194, 194, 194, 194, 195, 195, 195, 193, 193, 193, 194, 194, 194, 194, 194, 194, 193, 193, 193, 194, 194, 194,
  194, 194, 194, 194, 194, 194, 192, 192, 192, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 190, 190, 190, 189, 189, 189, 190, 190, 190, 189, 189, 189, 188, 188, 188, 188, 188, 188, 188, 188, 188, 187, 187, 187, 184, 184, 184, 182, 182, 182, 183, 183, 183, 184, 184, 184, 182, 182, 182, 181, 181, 181,
  180, 180, 180, 181, 181, 181, 182, 182, 182, 181, 181, 181, 178, 178, 178, 178, 178, 178, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 177, 176, 176, 176, 177, 177, 177, 177, 177, 177, 174, 174, 174, 173, 173, 173, 172, 172, 172, 172, 172, 172, 172, 172, 172, 170, 170, 170, 169, 169, 169, 170, 170, 170,
  168, 168, 168, 169, 169, 169, 169, 169, 169, 170, 170, 170, 167, 167, 167, 165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 167, 167, 163, 163, 163, 160, 160, 160, 161, 161, 161, 161, 161, 161, 162, 162, 162, 162, 162, 162, 161, 161, 161, 161, 161, 161, 156, 156, 156, 156, 156, 156, 157, 157, 157, 156, 156, 156,
  152, 152, 152, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 152, 152, 152, 151, 151, 151, 150, 150, 150, 147, 147, 147, 147, 147, 147, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 147, 147, 147, 146, 146, 146, 145, 145, 145, 143, 143, 143, 142, 142, 142, 141, 141, 141,
  141, 141, 141, 139, 139, 139, 139, 139, 139, 140, 140, 140, 140, 140, 140, 138, 138, 138, 135, 135, 135, 134, 134, 134, 135, 135, 135, 135, 135, 135, 131, 131, 131, 131, 131, 131, 132, 132, 132, 132, 132, 132, 130, 130, 130, 129, 129, 129, 128, 128, 128, 127, 127, 127, 127, 127, 127, 127, 127, 127, 128, 128, 128,
  127, 127, 127, 126, 126, 126, 124, 124, 124, 123, 123, 123, 122, 122, 122, 123, 123, 123, 123, 123, 123, 121, 121, 121, 119, 119, 119, 119, 119, 119, 117, 117, 117, 116, 116, 116, 116, 116, 116, 115, 115, 115, 114, 114, 114, 112, 112, 112, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 110, 110, 110,
  109, 109, 109, 108, 108, 108, 108, 108, 108, 107, 107, 107, 108, 108, 108, 109, 109, 109, 107, 107, 107, 106, 106, 106, 106, 106, 106, 105, 105, 105, 106, 106, 106, 106, 106, 106, 107, 107, 107, 108, 108, 108, 110, 110, 110, 108, 108, 108, 109, 109, 109, 112, 112, 112, 113, 113, 113, 114, 114, 114, 112, 112, 112,
  115, 115, 115, 119, 119, 119, 117, 117, 117, 118, 118, 118, 122, 122, 122, 126, 126, 126, 138, 138, 138, 216, 216, 216, 182, 182, 182, 154, 154, 154, 141, 141, 141, 137, 137, 137, 134, 134, 134, 133, 133, 133, 134, 134, 134, 132, 132, 132, 132, 132, 132, 132, 132, 132, 129, 129, 129, 127, 127, 127, 126, 126, 126,
  126, 126, 126, 124, 124, 124, 124, 124, 124, 121, 121, 121, 123, 123, 123, 121, 121, 121, 120, 120, 120, 119, 119, 119, 116, 116, 116, 114, 114, 114, 114, 114, 114, 114, 114, 114, 112, 112, 112, 110, 110, 110, 109, 109, 109, 110, 110, 110, 108, 108, 108, 105, 105, 105, 103, 103, 103, 102, 102, 102, 103, 103, 103,
  103, 103, 103, 102, 102, 102, 101, 101, 101, 100, 100, 100, 100, 100, 100, 100, 100, 100,  99,  99,  99,  99,  99,  99, 100, 100, 100,  99,  99,  99,  99,  99,  99,  99,  99,  99, 101, 101, 101, 100, 100, 100,  99,  99,  99,  99,  99,  99, 101, 101, 101, 101, 101, 101, 102, 102, 102, 103, 103, 103, 103, 103, 103,
  103, 103, 103, 105, 105, 105, 105, 105, 105, 106, 106, 106, 107, 107, 107, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 111, 112, 112, 112, 113, 113, 113, 113, 113, 113, 112, 112, 112, 114, 114, 114, 119, 119, 119, 118, 118, 118, 119, 119, 119,
  121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 123, 123, 123, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 127, 127, 127, 131, 131, 131, 131, 131, 131, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 130, 134, 134, 134,
  136, 136, 136, 136, 136, 136, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 134, 134, 134, 135, 135, 135, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 143, 143, 143, 147, 147, 147, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 145, 145, 145, 145, 145, 145,
  146, 146, 146, 149, 149, 149, 150, 150, 150, 151, 151, 151, 151, 151, 151, 151, 151, 151, 150, 150, 150, 151, 151, 151, 151, 151, 151, 153, 153, 153, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 157, 157, 157, 159, 159, 159, 161, 161, 161, 160, 160, 160, 161, 161, 161, 162, 162, 162, 161, 161, 161,
  162, 162, 162, 164, 164, 164, 164, 164, 164, 163, 163, 163, 163, 163, 163, 166, 166, 166, 167, 167, 167, 167, 167, 167, 166, 166, 166, 166, 166, 166, 166, 166, 166, 168, 168, 168, 171, 171, 171, 170, 170, 170, 170, 170, 170, 170, 170, 170, 171, 171, 171, 173, 173, 173, 173, 173, 173, 175, 175, 175, 175, 175, 175,
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  123, 123, 123, 123, 123, 123, 127, 127, 127, 126, 126, 126, 127, 127, 127, 129, 129, 129, 131, 131, 131, 133, 133, 133, 133, 133, 133, 135, 135, 135, 137, 137, 137, 137, 137, 137, 139, 139, 139, 139, 139, 139, 142, 142, 142, 143, 143, 143, 142, 142, 142, 143, 143, 143, 143, 143, 143, 147, 147, 147, 157, 157, 157,
 };
const char* ZamSynthArtwork::zamsynthData = (const char*)temp6;