path: root/plugins/ZamGrains/ZamGrainsArtwork.cpp

/* (Auto-generated binary data file). */

#include "ZamGrainsArtwork.hpp"

static const unsigned char temp_knob_1[] = {
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    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* ZamGrainsArtwork::knobData = (const char*)temp_knob_1;

static const unsigned char temp_zamgrains_2[] = {
  248, 248, 248, 238, 238, 238, 207, 207, 207, 178, 178, 178, 157, 157, 157, 150, 150, 150, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153,
  153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 157, 157, 157, 158, 158, 158, 163, 163, 163, 251, 251, 251, 229, 229, 229, 191, 191, 191, 157, 157, 157, 151, 151, 151, 163, 163, 163,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
  167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 103, 103, 103,  48,  48,  48, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  11,  11,  11, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216,
  182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136,
  117, 117, 117, 103, 103, 103,  72,  72,  72,  33,  33,  33, 103, 103, 103, 112, 112, 112, 130, 130, 130, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 138, 138, 138, 122, 122, 122, 106, 106, 106, 101, 101, 101,
    7,   7,   7, 103, 103, 103, 107, 107, 107, 125, 125, 125, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 128, 128, 128, 111, 111, 111, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 129, 129, 129,  87,  87,  87,  51,  51,  51,  21,  20,  20,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    0,   0,   0,  12,  11,  11,  41,  41,  41,  76,  76,  76, 118, 118, 118, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 133, 133, 133, 106, 106, 106, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140,  99,  99,  99, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136, 100, 100, 100,  60,  60,  60,  29,  29,  29,   3,   3,   3,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   5,   5,   5,  32,  32,  32,
   64,  64,  64, 105, 105, 105, 138, 138, 138, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  99,  99,  99, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 188,  77,  77,  87,  36,  36, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 251, 103, 103,  45,  19,  19, 195,  80,  80,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,  54,  54,  54,   0,   0,   0,  57,  24,  24, 230,  95,  95, 255, 105, 105, 255, 105, 105, 196,  81,  81,  44,  18,  18, 251, 103, 103, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 255, 105, 105, 188,  77,  77,  87,  36,  36, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 144,  59,  59,  93,  38,  38, 255, 105, 105, 255, 105, 105, 251, 103, 103, 112,  46,  46,   0,   0,   0,  25,  25,  25, 127, 127, 127,
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  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 164,  68,  68,  68,  28,  28, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 188,  77,  77,  87,  36,  36, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  172,  71,  71,  60,  25,  25, 254, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 218,  90,  90,   7,   4,   4,   9,   9,   9,  20,  20,  20,  96,  96,  96, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 135, 135, 135,  71,  71,  71,  12,  12,  12,   0,   0,   0,  76,  31,  31, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,  53,  53,  53,  11,  11,  11, 115, 115, 115,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 122, 122, 122,  61,  61,  61,  44,  44,  44,  85,  85,  85,  70,  70,  70,  28,  28,  28,  84,  84,  84, 140, 140, 140, 128, 128, 128,  61,  61,  61,  43,  43,  43,  74,  74,  74, 140, 140, 140, 136, 136, 136,  74,  74,  74,  46,  46,  46,
  102, 102, 102, 140, 140, 140, 140, 140, 140,  96,  96,  96,  48,  48,  48,  77,  77,  77, 140, 140, 140, 140, 140, 140, 136, 136, 136,   9,   9,   9,   0,   0,   0,   0,   0,   0, 111, 111, 111, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 109,  45,  45,   0,   0,   0, 124, 124, 124, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  70,  70,  70,   6,   6,   6, 106, 106, 106, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,  16,  16,  16,   0,   0,   0,  79,  79,  79, 140, 140, 140, 127, 127, 127,  11,  11,  11,   0,   0,   0,
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  140, 140, 140, 140, 140, 140,  47,  47,  47,   0,   0,   0,  48,  48,  48, 140, 140, 140, 138, 138, 138,  32,  32,  32,   0,   0,   0,   1,   1,   1, 125, 125, 125, 140, 140, 140, 140, 140, 140,  65,  65,  65,   0,   0,   0,  16,  16,  16, 139, 139, 139, 140, 140, 140, 113, 113, 113,   0,   0,   0,   0,   0,   0,
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   45,  45,  45,   4,   2,   2, 250, 103, 103, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 178,  73,  73,  37,  15,  15,  93,  38,  38, 232,  96,  96,
  213,  88,  88,  33,  14,  14, 181,  74,  74,  87,  36,  36, 122,  50,  50, 115,  47,  47, 254, 105, 105, 170,  70,  70,  35,  14,  14, 110,  45,  45, 240,  99,  99, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  87,  87,  87,   0,   0,   0, 179,  74,  74,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 217,  89,  89,  75,  31,  31,  54,  22,  22, 199,  82,  82, 251, 103, 103,  44,  18,  18, 195,  80,  80,
   20,   8,   8, 198,  82,  82,  42,  17,  17, 250, 103, 103, 205,  84,  84,  61,  25,  25,  68,  28,  28, 211,  87,  87, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 109, 109, 109,   0,   0,   0,   0,   0,   0, 103, 103, 103, 138, 138, 138,  41,  41,  41,  36,  36,  36,   0,   0,   0,  58,  58,  58, 140, 140, 140, 140, 140, 140, 120, 120, 120,   0,   0,   0,   0,   0,   0,
   78,  78,  78, 140, 140, 140, 139, 139, 139,  16,  16,  16,   0,   0,   0,  50,  50,  50, 140, 140, 140, 140, 140, 140,  36,  36,  36,   0,   0,   0,  49,  49,  49, 140, 140, 140, 140, 140, 140, 140, 140, 140,  87,  87,  87,   0,   0,   0,   0,   0,   0,  28,  28,  28, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 101, 101, 101,   0,   0,   0,   0,   0,   0,  23,  23,  23, 140, 140, 140, 140, 140, 140, 140, 140, 140,  85,  85,  85,   0,   0,   0,   2,   2,   2, 127, 127, 127, 140, 140, 140, 140, 140, 140, 140, 140, 140, 135, 135, 135,   5,   5,   5,   0,   0,   0,  71,  71,  71, 140, 140, 140,
   70,  70,  70,  37,  37,  37,   0,   0,   0,  26,  26,  26, 140, 140, 140, 140, 140, 140, 139, 139, 139,  17,  17,  17,   0,   0,   0,  64,  64,  64, 140, 140, 140, 140, 140, 140,  62,  62,  62,   0,   0,   0,  14,  14,  14, 134, 134, 134, 140, 140, 140, 127, 127, 127,   2,   2,   2,   0,   0,   0, 101, 101, 101,
  140, 140, 140, 140, 140, 140, 140, 140, 140,  92,  92,  92,   0,   0,   0,   0,   0,   0,  97,  97,  97, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  28,  28,  28,  32,  14,  14, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 250, 103, 103, 144,  59,  59,  30,  12,  12, 136,  56,  56, 105,  43,  43,  95,  39,  39,  76,  31,  31,  30,  12,  12, 190,  78,  78,
   59,  24,  24,  68,  28,  28, 213,  88,  88, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 107,  44,  44,   0,   0,   0,
  127, 127, 127, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  70,  70,  70,   0,   0,   0, 212,  87,  87, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 187,  77,  77,  44,  18,  18,  93,  38,  38, 169,  70,  70,  51,  21,  21,  20,   8,   8,  54,  22,  22, 170,  70,  70, 110,  45,  45,  40,  16,  16, 170,  70,  70,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 182,  75,  75,   0,   0,   0,  86,  86,  86, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 128, 128, 128,  57,  57,  57,   0,   0,   0,   2,   2,   2,  10,  10,  10,  27,  27,  27,  65,  65,  65, 125, 125, 125, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140,  83,  83,  83,   0,   0,   0,   0,   0,   0, 114, 114, 114,  58,  58,  58,  69,  69,  69,  26,  26,  26,   0,   0,   0,  97,  97,  97, 140, 140, 140, 140, 140, 140,  72,  72,  72,   0,   0,   0,   8,   8,   8, 133, 133, 133, 140, 140, 140, 104, 104, 104,   0,   0,   0,   0,   0,   0, 113, 113, 113,
  140, 140, 140, 125, 125, 125,   1,   1,   1,   0,   0,   0,  96,  96,  96, 140, 140, 140, 140, 140, 140, 140, 140, 140, 133, 133, 133,  12,  12,  12,   0,   0,   0,   0,   0,   0,  85,  85,  85, 140, 140, 140, 140, 140, 140, 140, 140, 140, 128, 128, 128,  24,  24,  24,   0,   0,   0,   0,   0,   0,  59,  59,  59,
  140, 140, 140, 140, 140, 140, 140, 140, 140,  44,  44,  44,   0,   0,   0,  36,  36,  36, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 115, 115, 115,   0,   0,   0,   0,   0,   0,  85,  85,  85,  87,  87,  87,  39,  39,  39,  57,  57,  57,   0,   0,   0,  66,  66,  66, 140, 140, 140, 140, 140, 140,
  109, 109, 109,   0,   0,   0,   0,   0,   0, 110, 110, 110, 140, 140, 140, 138, 138, 138,  13,  13,  13,   0,   0,   0,  70,  70,  70, 140, 140, 140, 140, 140, 140,  80,  80,  80,   0,   0,   0,   9,   9,   9, 138, 138, 138, 117, 117, 117,  81,  81,  81, 138, 138, 138, 139, 139, 139,   6,   6,   6,   0,   0,   0,
  111, 111, 111, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  20,  19,  19,  51,  21,  21, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 235,  97,  97, 110,  45,  45,  37,  15,  15,  15,   6,   6,  20,   9,   9,  62,  25,  25,  41,  17,  17, 181,  75,  75, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 124,  51,  51,   0,   0,   0, 118, 118, 118, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  61,  61,  61,   0,   0,   0, 230,  95,  95, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 250, 103, 103, 144,  59,  59,  27,  11,  11,  38,  15,  15,   7,   3,   3,  45,  19,  19,  26,  11,  11, 127,  52,  52, 248, 102, 102, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 200,  82,  82,   0,   0,   0,  77,  77,  77, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 117, 117, 117,  14,  14,  14,   6,   6,   6,  80,  80,  80,  56,  56,  56,   2,   2,   2,   0,   0,   0,   0,   0,   0,   5,   5,   5,  91,  91,  91, 140, 140, 140, 140, 140, 140, 140, 140, 140,  82,  82,  82,   0,   0,   0,   0,   0,   0,   4,   4,   4,  49,  49,  49,
  122, 122, 122,   0,   0,   0,   0,   0,   0,  74,  74,  74, 140, 140, 140, 140, 140, 140,  24,  24,  24,   0,   0,   0,  56,  56,  56, 140, 140, 140, 140, 140, 140,  53,  53,  53,   0,   0,   0,  25,  25,  25, 140, 140, 140, 140, 140, 140,  88,  88,  88,   0,   0,   0,   0,   0,   0,  72,  72,  72, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 101, 101, 101,   5,   5,   5,   0,   0,   0,   1,   1,   1,  47,  47,  47,  80,  80,  80,  66,  66,  66,  17,  17,  17,  76,  76,  76,   0,   0,   0,   0,   0,   0,  95,  95,  95, 140, 140, 140, 140, 140, 140, 136, 136, 136,   6,   6,   6,   0,   0,   0,  81,  81,  81,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 114, 114, 114,   0,   0,   0,   0,   0,   0,   4,   4,   4,  26,  26,  26, 130, 130, 130,  15,  15,  15,   0,   0,   0,  42,  42,  42, 140, 140, 140, 140, 140, 140,  64,  64,  64,   0,   0,   0,   0,   0,   0,  89,  89,  89, 140, 140, 140, 101, 101, 101,
    0,   0,   0,   0,   0,   0, 119, 119, 119, 140, 140, 140, 140, 140, 140,  41,  41,  41,   0,   0,   0,  10,  10,  10, 121, 121, 121,  53,  53,  53,   0,   0,   0,  78,  78,  78, 120, 120, 120,   1,   1,   1,  36,  36,  36, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156,
  195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  106, 106, 106,  28,  28,  28,  28,  28,  28,   3,   3,   3,  12,   5,   5,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,
   51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  27,  11,  11,   0,   0,   0,   0,   0,   0,  13,   5,   5,  48,  20,  20,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,
   51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  27,  11,  11,   0,   0,   0,  23,  23,  23,  28,  28,  28,  61,  61,  61, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136,  31,  31,  31,  28,  28,  28,
   11,  11,  11,   0,   0,   0,  48,  20,  20,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,
   51,  21,  21,  39,  16,  16,   3,   2,   2,   0,   0,   0,   4,   2,   2,  41,  17,  17,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,
   51,  21,  21,  51,  21,  21,  51,  21,  21,  51,  21,  21,  42,  17,  17,   0,   0,   0,  14,  14,  14,  28,  28,  28,  31,  31,  31, 137, 137, 137, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  32,  32,  32,   0,   0,   0,  61,  61,  61,
  140, 140, 140, 140, 140, 140,  94,  94,  94,   3,   3,   3,   0,   0,   0,   0,   0,   0,   2,   2,   2,  99,  99,  99, 140, 140, 140, 140, 140, 140, 135, 135, 135,  46,  46,  46,  25,  25,  25,  79,  79,  79, 139, 139, 139, 121, 121, 121,  21,  21,  21,  44,  44,  44, 102, 102, 102, 140, 140, 140, 132, 132, 132,
   47,  47,  47,  47,  47,  47, 115, 115, 115, 140, 140, 140, 140, 140, 140,  57,  57,  57,  47,  47,  47,  93,  93,  93, 140, 140, 140, 140, 140, 140, 100, 100, 100,  21,  21,  21,  44,  44,  44, 117, 117, 117, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 116, 116, 116,  49,  49,  49,
   14,  14,  14,   1,   1,   1,  13,  13,  13,  49,  49,  49, 113, 113, 113,  88,  88,  88,   0,   0,   0,   1,   1,   1, 130, 130, 130, 140, 140, 140, 140, 140, 140, 120, 120, 120,  47,  47,  47,  48,  48,  48, 126, 126, 126, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  68,  68,  68,
   21,  21,  21,  60,  60,  60, 134, 134, 134, 139, 139, 139,  30,  30,  30,  37,  37,  37,  83,  83,  83, 140, 140, 140, 140, 140, 140,  69,  69,  69,  24,  24,  24,  53,  53,  53, 122, 122, 122, 140, 140, 140,  88,  88,  88,  47,  47,  47,  60,  60,  60, 140, 140, 140, 140, 140, 140, 140, 140, 140,  53,  53,  53,
   32,  32,  32,  73,  73,  73, 135, 135, 135, 114, 114, 114,  38,  38,  38,  19,  19,  19,  35,  35,  35,  71,  71,  71, 134, 134, 134, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144,
  141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 138, 138, 138, 121, 121, 121, 121, 121, 121,  16,  15,  15,  49,  20,  20, 221,  91,  91,
  221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 176,  73,  73,  36,  16,  16,   0,   0,   0,   3,   3,   3,
   11,  11,  11,   0,   0,   0,  10,   4,   4, 125,  52,  52, 218,  89,  89, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91,
  221,  91,  91, 113,  47,  47,   0,   0,   0, 101, 101, 101, 121, 121, 121, 132, 132, 132, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 126, 126, 126, 121, 121, 121,  50,  50,  50,   0,   0,   0, 204,  84,  84, 221,  91,  91, 221,  91,  91, 221,  91,  91,
  221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 202,  83,  83,  75,  31,  31,   1,   1,   1,   0,   0,   0,  14,  14,  14,   0,   0,   0,   1,   1,   1,
   81,  33,  33, 204,  84,  84, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 221,  91,  91, 179,  74,  74,   0,   0,   0,
   65,  65,  65, 121, 121, 121, 127, 127, 127, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  255, 105, 105, 243, 100, 100, 118,  48,  48,   4,   2,   2,   0,   0,   0,  24,  23,  23, 115, 115, 115, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 135, 135, 135,  67,  67,  67,   4,   3,   3,   0,   0,   0,  40,  17,  17, 193,  79,  79, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,  90,  37,  37,   1,   1,   1, 136, 136, 136, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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   19,   8,   8,   0,   0,   0,  11,  10,  10,  90,  90,  90, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  95,  95,  95,  12,  11,  11,   0,   0,   0,  15,   6,   6, 151,  62,  62, 252, 104, 104, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 165,  68,  68,   0,   0,   0,  96,  96,  96, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 113, 113, 113,  18,  18,  18,   0,   0,   0,   0,   0,   0,  52,  52,  52, 138, 138, 138, 140, 140, 140,  44,  44,  44,   0,   0,   0,  38,  38,  38, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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   55,  55,  55,   0,   0,   0, 234,  96,  96, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 250, 103, 103, 145,  60,  60,  12,   5,   5,   0,   0,   0,  14,  13,  13, 101, 101, 101, 140, 140, 140,
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  255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 189,  78,  78,  37,  16,  16,   0,   0,   0,   4,   3,   3,  71,  71,  71, 137, 137, 137, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  255, 105, 105, 128,  53,  53,   0,   0,   0, 113, 113, 113, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 130, 130, 130,  70,  70,  70,  13,  13,  13,   0,   0,   0,  21,  21,  21,  48,  48,  48,   3,   3,   3,  42,  42,  42, 128, 128, 128, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136,  47,  47,  47,  45,  45,  45, 138, 138, 138,
  140, 140, 140,  88,  88,  88,   0,   0,   0,  19,  19,  19, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  82,  82,  82,   0,   0,   0, 182,  75,  75, 255, 105, 105, 255, 105, 105, 255, 105, 105,
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   54,  22,  22,   0,   0,   0,   2,   1,   1,  57,  56,  56, 135, 135, 135, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 104, 104, 104,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  14,  14,  14,  46,  19,  19, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 233,  96,  96, 100,  41,  41,   2,   1,   1,   0,   0,   0,
   31,  29,  29, 122, 122, 122, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 126, 126, 126,  41,  36,  36,   0,   0,   0,   0,   0,   0,
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  140, 140, 140,  54,  54,  54,   0,   0,   0, 225,  93,  93, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 255, 105, 105, 246, 101, 101, 132,  55,  55,   8,   3,   3,   0,   0,   0,  17,  14,  14, 105, 105, 105, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 112, 112, 112,  26,  20,  20,   0,   0,   0,   3,   1,   1, 109,  44,  44, 235,  97,  97, 255, 105, 105, 255, 105, 105,
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  113, 113, 113,  53,  53,  53,  37,  37,  37,  53,  53,  53, 110, 110, 110, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144,
  141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  55,  55,  55,   0,   0,   0,
  213,  88,  88, 255, 105, 105, 255, 105, 105, 255, 105, 105, 240,  99,  99, 118,  49,  49,   5,   2,   2,   0,   0,   0,  21,  19,  19, 111, 111, 111, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 138, 138, 138,  67,  60,  60,   4,   2,   2,   0,   0,   0,  34,  14,  14, 174,  72,  72, 255, 105, 105, 255, 105, 105, 255, 105, 105, 253, 104, 104,
   31,  13,  13,  16,  15,  15, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  97,  97,  97,   0,   0,   0, 137,  56,  56, 255, 105, 105, 255, 105, 105,
  255, 105, 105, 253, 104, 104, 161,  66,  66,  23,   9,   9,   0,   0,   0,   8,   6,   6,  83,  83,  83, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  97,  94,  94,  15,  10,  10,   0,   0,   0,  11,   5,   5, 133,  55,  55, 245, 101, 101, 255, 105, 105, 255, 105, 105, 255, 105, 105, 106,  44,  44,   0,   0,   0, 113, 113, 113,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 137, 137, 137,  13,  12,  12,  36,  15,  15, 254, 105, 105, 255, 105, 105, 189,  78,  78,  45,  19,  19,   0,   0,   0,   2,   2,   2,  60,  58,  58, 137, 137, 137,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,  76,  69,  69,   6,   3,   3,   0,   0,   0,  24,  10,  10, 155,  64,  64, 252, 104, 104, 245, 101, 101,  16,   7,   7,  26,  26,  26, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  26,  26,  26,  12,   6,   6, 162,  67,  67,  35,  14,  14,   0,   0,   0,   4,   3,   3,  68,  67,  67, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 120, 118, 118,  35,  23,  23,   1,   0,   0,   0,   0,   0,  81,  33,  33,  58,  24,  24,   3,   3,   3, 122, 122, 122, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  67,  67,  67,   0,   0,   0, 137,  56,  56,  73,  30,  30,   0,   0,   0,   1,   0,   0,  40,  36,  36, 130, 130, 130, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  136, 136, 136,  62,  49,  49,   3,   1,   1,   0,   0,   0,  40,  16,  16,  96,  40,  40,   0,   0,   0,  84,  84,  84, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216,
  182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140,  96,  96,  96,   0,   0,   0,   0,   0,   0,   1,   1,   1,  44,  40,  40, 133, 133, 133, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 107,  99,  99,
   19,  11,  11,   0,   0,   0,   0,   0,   0,  55,  55,  55, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 130, 130, 130,
    9,   8,   8,   0,   0,   0,   0,   0,   0,  23,  19,  19, 113, 113, 113, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 126, 125, 125,  42,  29,  29,   1,   1,   1,   0,   0,   0,
   17,  16,  16, 137, 137, 137, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,  93,  93,  93,   4,   4,   4,  28,  24,  24, 120, 120, 120,
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  141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  72,  72,  72,   4,   4,   4, 122, 122, 122, 125, 125, 125,  12,  12,  12,  62,  62,  62, 140, 140, 140, 140, 140, 140, 139, 139, 139, 131, 131, 131,  19,  19,  19,  41,  41,  41, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  11,  11,  11,  52,  52,  52, 131, 131, 131,  77,  77,  77,   0,   0,   0,  97,  97,  97,   0,   0,   0,  88,  88,  88, 131, 131, 131,  44,  44,  44,  20,  20,  20, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140,  90,  90,  90,   0,   0,   0, 110, 110, 110, 129, 129, 129,  24,  24,  24,  44,  44,  44, 140, 140, 140, 140, 140, 140, 140, 140, 140, 131, 131, 131,  36,  36,  36,  23,  23,  23, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  100, 100, 100,   0,   0,   0,  99,  99,  99, 131, 131, 131,  29,  29,  29,  35,  35,  35,  63,  63,  63,  11,  11,  11, 126, 126, 126, 122, 122, 122,   5,   5,   5,  71,  71,  71, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  72,  72,  72,   8,   8,   8, 140, 140, 140, 140, 140, 140,  20,  20,  20,  62,  62,  62, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  21,  21,  21,  41,  41,  41,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  90,  90,  90,   0,   0,   0, 131, 131, 131, 140, 140, 140,  37,  37,  37,  44,  44,  44, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  38,  38,  38,  23,  23,  23, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140,  99,  99,  99,   0,   0,   0,  87,  87,  87, 112, 112, 112, 113, 113, 113, 139, 139, 139,  63,  63,  63,  19,  19,  19, 140, 140, 140, 140, 140, 140,   9,   9,   9,  71,  71,  71, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
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   77,  77,  77,  85,  85,  85,  37,  37,  37, 121, 121, 121, 140, 140, 140,  72,  72,  72,  75,  75,  75, 126, 126, 126,  43,  43,  43,  37,  37,  37,  37,  37,  37,  48,  48,  48, 132, 132, 132, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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   37,  37,  37,  68,  68,  68, 139, 139, 139, 117, 117, 117,  39,  39,  39,  37,  37,  37,  37,  37,  37,  61,  61,  61, 138, 138, 138,  63,  63,  63,  37,  37,  37,  37,  37,  37,  37,  37,  37,  57,  57,  57, 137, 137, 137, 140, 140, 140, 140, 140, 140, 140, 140, 140,  58,  58,  58,   0,   0,   0, 111, 111, 111,
  140, 140, 140,  51,  51,  51,  37,  37,  37,  93,  93,  93, 140, 140, 140, 140, 140, 140,  74,  74,  74,  37,  37,  37,  67,  67,  67, 137, 137, 137,  57,  57,  57,  37,  37,  37,  37,  37,  37,  39,  39,  39, 116, 116, 116, 140, 140, 140,  76,  76,  76,   0,   0,   0,  96,  96,  96, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  37,  37,  37,   2,   2,   2,   4,   4,   4, 134, 134, 134, 140, 140, 140, 124, 124, 124,   1,   1,   1,   1,   1,   1,  43,  43,  43, 140, 140, 140, 122, 122, 122,  37,  37,  37,  37,  37,  37, 127, 127, 127, 140, 140, 140, 129, 129, 129,  45,  45,  45,
   37,  37,  37,  37,  37,  37,  46,  46,  46, 130, 130, 130,  59,  59,  59,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 115, 115, 115,  45,  45,  45,  37,  37,  37,  37,  37,  37,  37,  37,  37, 100, 100, 100,  47,  47,  47,  37,  37,  37,  37,  37,  37,  37,  37,  37,  66,  66,  66, 139, 139, 139,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  43,  43,  43,   8,   8,   8, 139, 139, 139, 140, 140, 140,  85,  85,  85,
   37,  37,  37, 130, 130, 130,   2,   2,   2,  44,  44,  44,  93,  93,  93,  63,  63,  63,   0,   0,   0, 111, 111, 111, 140, 140, 140,  54,  54,  54,  29,  29,  29,   0,   0,   0, 116, 116, 116, 140, 140, 140,  24,  24,  24,  54,  54,  54,  65,  65,  65,   0,   0,   0,  49,  49,  49, 140, 140, 140,  47,  47,  47,
   51,  51,  51,  54,  54,  54,   9,   9,   9,  92,  92,  92,  85,  85,  85,   0,   0,   0,  75,  75,  75, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 128, 128, 128,   0,   0,   0,  63,  63,  63, 140, 140, 140, 140, 140, 140, 140, 140, 140,  16,  16,  16,  25,  25,  25,  84,  84,  84,  60,  60,  60,   0,   0,   0,  97,  97,  97,  27,  27,  27,  18,  18,  18,  84,  84,  84,
   67,  67,  67,   0,   0,   0,  86,  86,  86,  34,  34,  34,  25,  25,  25,  93,  93,  93,  81,  81,  81,   0,   0,   0,  82,  82,  82, 140, 140, 140, 140, 140, 140, 140, 140, 140,  58,  58,  58,   0,   0,   0, 117, 117, 117, 140, 140, 140,  18,  18,  18,  10,  10,  10,  41,  41,  41, 140, 140, 140, 138, 138, 138,
   12,  12,  12,   9,   9,   9,  40,  40,  40,  88,  88,  88,   0,   0,   0,  77,  77,  77,  93,  93,  93,  15,  15,  15,  40,  40,  40, 140, 140, 140,  85,  85,  85,   0,   0,   0,  96,  96,  96, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  37,  37,  37,  33,  33,  33,
    2,   2,   2,  97,  97,  97, 140, 140, 140,  79,  79,  79,  21,  21,  21,  11,  11,  11,  43,  43,  43, 140, 140, 140,  83,  83,  83,  17,  17,  17,  12,  12,  12,  87,  87,  87, 140, 140, 140,  61,  61,  61,   5,   5,   5,  90,  90,  90,  88,  88,  88,   2,   2,   2,  67,  67,  67,  89,  89,  89,  74,  74,  74,
    0,   0,   0,  40,  40,  40,  75,  75,  75, 125, 125, 125,  10,  10,  10,  39,  39,  39,  84,  84,  84,  84,  84,  84, 119, 119, 119,  14,  14,  14,  36,  36,  36,  93,  93,  93,  70,  70,  70,   0,   0,   0,  99,  99,  99, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156,
  195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  43,  43,  43,   9,   9,   9, 139, 139, 139, 112, 112, 112, 112, 112, 112, 112, 112, 112, 137, 137, 137,   2,   2,   2,  66,  66,  66, 140, 140, 140, 104, 104, 104,
    0,   0,   0, 108, 108, 108, 140, 140, 140,  15,  15,  15,  82,  82,  82,  16,  16,  16,  76,  76,  76, 140, 140, 140,  24,  24,  24,  54,  54,  54,  65,  65,  65,  10,  10,  10,   2,   2,   2, 114, 114, 114,  48,  48,  48,  51,  51,  51,  52,  52,  52,  15,  15,  15, 121, 121, 121, 121, 121, 121, 100, 100, 100,
  127, 127, 127, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  128, 128, 128,   0,   0,   0,  63,  63,  63, 140, 140, 140, 140, 140, 140, 140, 140, 140,  11,  11,  11,  57,  57,  57, 140, 140, 140, 115, 115, 115,   0,   0,   0,  92,  92,  92,  23,  23,  23,  45,  45,  45, 140, 140, 140, 126, 126, 126,   0,   0,   0,  80,  80,  80,  34,  34,  34,  38,  38,  38, 140, 140, 140,
  132, 132, 132,   0,   0,   0,  79,  79,  79, 140, 140, 140, 140, 140, 140, 140, 140, 140,  58,  58,  58,   0,   0,   0, 117, 117, 117, 140, 140, 140,  18,  18,  18,  51,  51,  51,   5,   5,   5, 135, 135, 135, 105, 105, 105,  14,  14,  14,  35,  35,  35,  40,  40,  40,  86,  86,  86,   0,   0,   0, 107, 107, 107,
  121, 121, 121, 103, 103, 103, 120, 120, 120, 140, 140, 140,  85,  85,  85,   0,   0,   0,  96,  96,  96, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  37,  37,  37,  44,  44,  44,  32,  32,  32,  55,  55,  55, 140, 140, 140,  36,  36,  36,  64,  64,  64,  11,  11,  11,
   43,  43,  43, 140, 140, 140,  44,  44,  44,  53,  53,  53,  46,  46,  46,  47,  47,  47, 140, 140, 140,  59,  59,  59,   9,   9,   9, 121, 121, 121, 121, 121, 121, 101, 101, 101, 126, 126, 126, 140, 140, 140, 138, 138, 138,   0,   0,   0,  75,  75,  75, 140, 140, 140, 140, 140, 140,  10,  10,  10,  60,  60,  60,
  131, 131, 131, 131, 131, 131, 139, 139, 139,  14,  14,  14,  54,  54,  54, 140, 140, 140, 116, 116, 116,   0,   0,   0,  96,  96,  96, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144,
  141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  43,  43,  43,   9,   9,   9, 130, 130, 130,   0,   0,   0,   0,   0,   0,   0,   0,   0, 119, 119, 119,   2,   2,   2,  13,  13,  13,  28,  28,  28,  15,  15,  15,  19,  19,  19, 128, 128, 128, 116, 116, 116,   0,   0,   0, 117, 117, 117,  52,  52,  52,
   36,  36,  36, 140, 140, 140,  24,  24,  24,  54,  54,  54,  65,  65,  65,  29,  29,  29,  49,  49,  49,  40,  40,  40,  48,  48,  48,  51,  51,  51,  85,  85,  85,   0,   0,   0,   0,   0,   0,   0,   0,   0,   3,   3,   3, 105, 105, 105, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 128, 128, 128,   0,   0,   0,  63,  63,  63, 140, 140, 140, 140, 140, 140, 140, 140, 140,
   11,  11,  11,  57,  57,  57, 140, 140, 140, 115, 115, 115,   0,   0,   0,  92,  92,  92,  23,  23,  23,  45,  45,  45, 140, 140, 140, 126, 126, 126,   0,   0,   0,  80,  80,  80,  34,  34,  34,  18,  18,  18,  65,  65,  65,  54,  54,  54,   0,   0,   0,  92,  92,  92, 140, 140, 140, 140, 140, 140, 140, 140, 140,
   58,  58,  58,   0,   0,   0, 117, 117, 117, 140, 140, 140,  18,  18,  18,  82,  82,  82,  10,  10,  10,  98,  98,  98,  64,  64,  64,  55,  55,  55,  36,  36,  36,  40,  40,  40, 113, 113, 113,   7,   7,   7,   0,   0,   0,   0,   0,   0,   0,   0,   0,  74,  74,  74, 140, 140, 140,  85,  85,  85,   0,   0,   0,
   96,  96,  96, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  37,  37,  37,  44,  44,  44,  74,  74,  74,  14,  14,  14, 131, 131, 131,   3,   3,   3, 107, 107, 107,  11,  11,  11,  42,  42,  42, 137, 137, 137,   8,   8,   8,  88,  88,  88,  81,  81,  81,   9,   9,   9,
  138, 138, 138,  92,  92,  92,   1,   1,   1,   0,   0,   0,   0,   0,   0,   2,   2,   2,  99,  99,  99, 140, 140, 140, 138, 138, 138,   0,   0,   0,  75,  75,  75, 140, 140, 140, 140, 140, 140,  10,  10,  10,   0,   0,   0,   0,   0,   0,   0,   0,   0, 122, 122, 122,  14,  14,  14,  11,  11,  11,  28,  28,  28,
   17,  17,  17,  13,  13,  13, 122, 122, 122, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  43,  43,  43,   9,   9,   9,
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   94,  94,  94, 140, 140, 140, 140, 140, 140,  36,  36,  36,  70,  70,  70,  40,  40,  40,  66,  66,  66,  76,  76,  76,  44,  44,  44, 140, 140, 140, 126, 126, 126,  21,  21,  21,  64,  64,  64, 116, 116, 116,  24,  24,  24,  19,  19,  19,  19,  19,  19,  35,  35,  35, 130, 130, 130, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  52,  52,  52,  58,  58,  58, 140, 140, 140,  68,  68,  68,  19,  19,  19,  97,  97,  97, 140, 140, 140,  29,  29,  29,  56,  56,  56,  48,  48,  48,  69,  69,  69,
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   32,  32,  32,  66,  66,  66, 140, 140, 140, 121, 121, 121,  19,  19,  19, 105, 105, 105, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
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    1,   8,   8,   0,   0,   0,   0,   0,   0,   7,   8,   8,  51,  51,  51, 105, 105, 105, 139, 139, 139, 140, 140, 140, 106, 106, 106,  33,  33,  33, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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    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, 231,   0,   0,  30,   0,   0, 228,   0,   0, 120,   0,   0,   2,   8,   8,  11, 102, 102, 102, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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    7,   1,   7,   9,   7,   9, 106, 106, 106, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 109, 109, 109,   5,   6,   6,   1,  16,  16,   0, 195, 195,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0,  92,  92,   0, 145, 145,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 229, 229,   0,  46,  46,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0,  73,  73,   0, 164, 164,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 254, 254,   0, 127, 127,   0,   0,   0,  30,  31,  31, 133, 133, 133,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 118, 118, 118,  12,  10,  12,   8,   1,   8, 177,   0, 177, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 168,   0, 168,  66,   0,  66, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,
   34,   0,  34, 241,   0, 241, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 116,   0, 116, 121,   0, 121, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 193,   0, 193,  15,   1,  15,   8,   6,   8, 110, 110, 110, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 138, 138, 138,  46,  46,  46,   0,   0,   0,   0,   0,  90,   0,   0, 250,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 219,   0,   0,  34,   0,   0, 244,
    0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 103,   0,   0, 172,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 204,   0,   0,  42,   0,   0, 250,   0,   0, 255,   0,   0, 255,
    0,   0, 255,   0,   0, 214,   0,   0,  31,   1,   1,   1,  92,  92,  92, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 116, 116, 116,   7,   9,   9,
    1,  14,  14,   0, 207, 207,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 228, 228,   0,  28,  28,   0, 235, 235,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 229, 229,   0,  46,  46,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 180, 180,   0,  56,  56,   0, 254, 254,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 123, 123,   0,   0,   0,  40,  40,  40, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 128, 128, 128,  17,  16,  17,   5,   1,   5, 184,   0, 184,
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    0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 234, 234,   0,  28,  28,   0, 229, 229,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 219, 219,   1,   9,   9,  15,  16,  16,  23,  23,  23,
   50,  50,  50, 128, 128, 128, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  248,   0, 248, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 233,   0, 233,  28,   0,  28, 230,   0, 230, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,  34,   0,  34, 241,   0, 241, 255,   0, 255,
  255,   0, 255, 255,   0, 255, 255,   0, 255, 251,   0, 251,  45,   0,  45, 195,   0, 195, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 252,   0, 252,  56,   0,  56,   2,   2,   2,  21,  21,  21,  47,  47,  47, 124, 124, 124,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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   41,   0,  41, 201,   0, 201, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,  34,   0,  34, 241,   0, 241, 255,   0, 255, 255,   0, 255, 255,   0, 255, 237,   0, 237,  29,   0,  29, 225,   0, 225, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,
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   34,   0,  34, 241,   0, 241, 255,   0, 255, 255,   0, 255, 255,   0, 255, 105,   0, 105, 132,   0, 132, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 254,   0, 254, 170,   0, 170,  36,   0,  36, 110,   0, 110, 240,   0, 240, 255,   0, 255, 223,   0, 223,
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    0,   0, 255,   0,   0, 226,   0,   0,  31,   0,   0, 239,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 103,   0,   0, 172,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 190,   0,   0,  48,   0,   0, 252,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 111, 111, 111,   0,   0,   0,   0, 104, 104,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 190, 190,   0,  46,  46,   0,  76,  76,   0, 224, 224,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 237, 237,   0,  30,  30,   0, 229, 229,   0, 255, 255,   0, 255, 255,   0, 229, 229,   0,  46,  46,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 169, 169,   0,  66,  66,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 201, 201,   0,  57,  57,   0,  76,  76,   0, 221, 221,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 245, 245,   1,  16,  16,  25,  26,  26, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 132, 132, 132,   6,   5,   6,  57,   0,  57, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 237,   0, 237,
  110,   0, 110,  33,   0,  33, 161,   0, 161, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,  73,   0,  73, 164,   0, 164, 255,   0, 255, 255,   0, 255, 255,   0, 255,  34,   0,  34, 241,   0, 241, 255,   0, 255, 255,   0, 255, 212,   0, 212,  34,   0,  34,
  245,   0, 245, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 204,   0, 204,  59,   0,  59,  68,   0,  68, 213,   0, 213, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,  80,   0,  80,   2,   1,   2, 125, 125, 125, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
   41,  41,  41,   0,   0,   4,   0,   0, 228,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 243,   0,   0, 127,   0,   0,  33,   0,   0, 153,   0,   0, 253,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 124,   0,   0, 114,   0,   0, 255,   0,   0, 255,
    0,   0, 255,   0,   0, 103,   0,   0, 172,   0,   0, 255,   0,   0, 255,   0,   0, 252,   0,   0,  47,   0,   0, 192,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 245,   0,   0, 127,   0,   0,  27,   0,   0, 144,   0,   0, 252,   0,   0, 255,   0,   0, 255,
    0,   0, 255,   0,   0, 136,   0,   0,   0,  95,  95,  95, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  64,  64,  64,   0,   0,   0,   0, 203, 203,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 253, 253,   0, 161, 161,   0,  32,  32,   0, 119, 119,
    0, 243, 243,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 142, 142,   0,  95,  95,   0, 255, 255,   0, 255, 255,   0, 229, 229,   0,  46,  46,   0, 255, 255,   0, 255, 255,   0, 246, 246,   0,  35,  35,   0, 210, 210,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 228, 228,   0,  93,  93,   0,  41,  41,   0, 183, 183,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 104, 104,   0,   0,   0, 117, 117, 117, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  91,  91,  91,   0,   0,   0, 154,   0, 154, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 215,   0, 215,  72,   0,  72,  65,   0,  65, 208,   0, 208, 255,   0, 255,
  255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 215,   0, 215,  32,   0,  32, 244,   0, 244, 255,   0, 255, 255,   0, 255,  34,   0,  34, 241,   0, 241, 255,   0, 255, 255,   0, 255,  69,   0,  69, 172,   0, 172, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 230,   0, 230,
  102,   0, 102,  41,   0,  41, 180,   0, 180, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 175,   0, 175,   0,   0,   0,  79,  79,  79, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 131, 131, 131,   2,   2,   3,   0,   0,  76,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 218,   0,   0,  85,   0,   0,  52,   0,   0, 197,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 245,   0,   0,  34,   0,   0, 212,   0,   0, 255,   0,   0, 255,   0,   0, 103,   0,   0, 172,   0,   0, 255,   0,   0, 255,   0,   0, 150,
    0,   0,  87,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 254,   0,   0, 170,   0,   0,  36,   0,   0, 110,   0,   0, 240,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 230,   0,   0,   2,  47,  47,  47, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156,
  195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140,  19,  20,  20,   1,  31,  31,   0, 254, 254,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 238, 238,   0, 119, 119,   0,  34,  34,   0, 161, 161,   0, 254, 254,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 251, 251,   0,  45,  45,   0, 200, 200,   0, 255, 255,   0, 229, 229,   0,  46,  46,   0, 255, 255,   0, 255, 255,   0, 129, 129,   0, 108, 108,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 246, 246,   0, 136, 136,   0,  30,  30,   0, 144, 144,   0, 251, 251,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 188, 188,   0,   0,   0,  74,  74,  74, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140,  48,  48,  48,   3,   0,   3, 233,   0, 233, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 178,   0, 178,  36,   0,  36,  93,   0,  93, 233,   0, 233, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 112,   0, 112,
  125,   0, 125, 255,   0, 255, 255,   0, 255,  34,   0,  34, 241,   0, 241, 255,   0, 255, 172,   0, 172,  60,   0,  60, 254,   0, 254, 255,   0, 255, 255,   0, 255, 255,   0, 255, 249,   0, 249, 144,   0, 144,  30,   0,  30, 136,   0, 136, 249,   0, 249, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,
  255,   0, 255, 255,   0, 255, 255,   0, 255, 246,   0, 246,  11,   1,  11,  36,  36,  36, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  89,  89,  89,   0,   0,   0,   0,   0, 159,   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, 188,   0,   0,  46,
    0,   0,  85,   0,   0, 225,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 163,   0,   0,  69,   0,   0, 255,   0,   0, 255,   0,   0, 103,   0,   0, 172,   0,   0, 255,   0,   0, 238,   0,   0,  29,   0,   0, 223,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 203,
    0,   0,  59,   0,   0,  68,   0,   0, 213,   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,  62,   5,   5,   7, 137, 137, 137, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144,
  141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 126, 126, 126,   0,   0,   0,   0, 104, 104,   0, 255, 255,
    0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 216, 216,   0,  75,  75,   0,  54,  54,   0, 199, 199,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 187, 187,   0,  56,  56,   0, 254, 254,   0, 229, 229,   0,  46,  46,
    0, 255, 255,   0, 228, 228,   0,  28,  28,   0, 235, 235,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 178, 178,   0,  37,  37,   0, 102, 102,   0, 235, 235,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 249, 249,
    1,   9,   9,  40,  40,  40, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  15,  14,  15,  50,   0,  50, 255,   0, 255, 255,   0, 255, 255,   0, 255,
  255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 249,   0, 249, 144,   0, 144,  30,   0,  30, 136,   0, 136, 249,   0, 249, 255,   0, 255, 255,   0, 255, 239,   0, 239,  29,   0,  29, 223,   0, 223, 255,   0, 255,  34,   0,  34, 241,   0, 241, 248,   0, 248,
   39,   0,  39, 208,   0, 208, 255,   0, 255, 255,   0, 255, 255,   0, 255, 178,   0, 178,  36,   0,  36,  93,   0,  93, 233,   0, 233, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,  70,   0,  70,   5,   4,   5,
  137, 137, 137, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140,  55,  55,  55,   0,   0,   0,   0,   0, 230,   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, 251,   0,   0, 153,   0,   0,  31,   0,   0, 127,   0,   0, 247,   0,   0, 255,   0,   0, 255,
    0,   0, 254,   0,   0,  60,   0,   0, 181,   0,   0, 255,   0,   0, 103,   0,   0, 172,   0,   0, 255,   0,   0, 111,   0,   0, 127,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 230,   0,   0, 102,   0,   0,  41,   0,   0, 180,   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, 130,   0,   0,   0, 109, 109, 109, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  96,  96,  96,   0,   0,   0,   0, 160, 160,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 187, 187,   0,  44,  44,   0,  93,  93,   0, 232, 232,   0, 255, 255,   0, 255, 255,   0,  75,  75,   0, 162, 162,   0, 229, 229,   0,  46,  46,   0, 255, 255,   0,  90,  90,   0, 147, 147,   0, 255, 255,   0, 255, 255,   0, 205, 205,
    0,  61,  61,   0,  67,  67,   0, 211, 211,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0,  63,  63,   8,   9,   9, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 125, 125, 125,   0,   0,   0, 106,   0, 106, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,
  255,   0, 255, 255,   0, 255, 255,   0, 255, 230,   0, 230, 102,   0, 102,  41,   0,  41, 180,   0, 180, 255,   0, 255, 255,   0, 255, 151,   0, 151,  85,   0,  85, 255,   0, 255,  34,   0,  34, 241,   0, 241, 133,   0, 133, 104,   0, 104, 255,   0, 255, 255,   0, 255, 214,   0, 214,  72,   0,  72,  65,   0,  65,
  209,   0, 209, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 129,   0, 129,   0,   0,   0, 112, 112, 112, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  25,  25,  26,   0,   0,  32,   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, 237,   0,   0, 110,   0,   0,  32,   0,   0, 161,   0,   0, 255,   0,   0, 255,   0,   0, 205,   0,   0,  38,   0,   0, 248,   0,   0, 103,   0,   0, 172,
    0,   0, 214,   0,   0,  33,   0,   0, 244,   0,   0, 255,   0,   0, 249,   0,   0, 144,   0,   0,  30,   0,   0, 136,   0,   0, 249,   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, 191,
    0,   0,   0,  78,  78,  78, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  73,  73,  73,   0,   0,   0,   0, 204, 204,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 250, 250,   0, 144, 144,   0,  26,  26,   0, 127, 127,   0, 248, 248,   0, 219, 219,   0,  30,  30,   0, 216, 216,   0,  46,  46,   0, 198, 198,   0,  42,  42,   0, 250, 250,   0, 236, 236,   0, 110, 110,   0,  40,  40,   0, 170, 170,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 106, 106,   0,   0,   0, 127, 127, 127, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 103, 103, 103,   0,   0,   0, 149,   0, 149, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 204,   0, 204,
   59,   0,  59,  68,   0,  68, 212,   0, 212, 253,   0, 253,  51,   0,  51, 192,   0, 192,  34,   0,  34, 219,   0, 219,  30,   0,  30, 234,   0, 234, 237,   0, 237, 110,   0, 110,  33,   0,  33, 161,   0, 161, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,
  255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 170,   0, 170,   0,   0,   0,  91,  91,  91, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,   3,   3,   5,   0,   0,  77,   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, 255,   0,   0, 215,   0,   0,  72,   0,   0,  64,   0,   0, 208,   0,   0, 255,   0,   0,  96,   0,   0, 141,   0,   0, 103,   0,   0, 172,   0,   0,  72,   0,   0, 166,   0,   0, 255,   0,   0, 178,   0,   0,  36,   0,   0,  93,
    0,   0, 233,   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, 234,   0,   0,   0,  57,  57,  57, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216,
  182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  54,  54,  54,
    0,   0,   0,   0, 239, 239,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 236, 236,   0, 110, 110,   0,  39,  39,   0, 170, 170,
    0, 114, 114,   0, 110, 110,   0,  46,  46,   0,  54,  54,   0, 180, 180,   0, 144, 144,   0,  26,  26,   0, 127, 127,   0, 248, 248,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 141, 141,   0,   0,   0, 108, 108, 108, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  85,  85,  85,   0,   0,   0, 183,   0, 183,
  255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 254,   0, 254, 170,   0, 170,  36,   0,  36, 110,   0, 110, 184,   0, 184,  48,   0,  48,
   34,   0,  34,  89,   0,  89, 140,   0, 140, 153,   0, 153,  31,   0,  31, 127,   0, 127, 247,   0, 247, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,
  255,   0, 255, 205,   0, 205,   0,   0,   0,  73,  73,  73, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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   58,  58,  58,   0,   0,   0, 168,   0, 168, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 200,   0, 200,
  111,   0, 111,   7,   0,   7,   0,   0,   0,   3,   3,   3,   0,   0,   0,   3,   0,   3,  90,   0,  90, 194,   0, 194, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204,
  204,   0, 204, 204,   0, 204, 204,   0, 204, 204,   0, 204, 186,   0, 186,   0,   0,   0,  48,  48,  48, 112, 112, 112, 113, 113, 113, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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   57,  57,  57,   1,   2,   2,   0,   0,   0,   0,  53,  53,   0, 211, 211,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,
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    1,   0,   1,  43,  43,  43, 127, 127, 127, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 134, 134, 134,  62,  61,  62,   3,   1,   3,   0,   0,   0,  45,   0,  45, 196,   0, 196, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,
  255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 160,   0, 160,   0,   0,   0,  96,  96,  96, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,   3,   3,   5,   0,   0,  75,   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, 253,   0,   0, 159,   0,   0,  18,   0,   0,   0,   9,   9,  11,  92,  92,  92, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136,  68,  68,  68,   2,   2,   4,   0,   0,   0,
    0,   0,  37,   0,   0, 189,   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, 233,   0,   0,   0,  57,  57,  57, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  98,  98,  98,
    0,   0,   0,   0, 153, 153,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 243, 243,   0, 122, 122,   0,   4,   4,   0,   0,   0,  22,  23,  23, 115, 115, 115, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  99,  99,  99,  10,  16,  16,   0,   0,   0,   0,  10,  10,   0, 134, 134,   0, 247, 247,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 255, 255,   0, 255, 255,   0,  54,  54,  12,  13,  13, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 133, 133, 133,   1,   1,   1,  88,   0,  88,
  255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 243,   0, 243, 122,   0, 122,   4,   0,   4,   0,   0,   0,  22,  20,  22, 114, 114, 114, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 130, 130, 130,  50,  46,  50,   1,   0,   1,   0,   0,   0,  60,   0,  60, 210,   0, 210, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,
  255,   0, 255, 109,   0, 109,   0,   0,   0, 123, 123, 123, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  28,  28,  29,   0,   0,  24,   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, 189,   0,   0,  37,   0,   0,   0,
    2,   2,   4,  65,  65,  65, 137, 137, 137, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 131, 131, 131,  49,  49,  53,   0,   0,   2,   0,   0,   0,   0,   0,  59,   0,   0, 207,   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, 182,   0,   0,   0,  83,  83,  83, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 127, 127, 127,   0,   0,   0,   0,  97,  97,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,
    0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 250, 250,   0, 144, 144,   0,  12,  12,   0,   0,   0,  11,  14,  14,  99,  99,  99, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,  78,  80,  80,   4,   8,   8,   0,   0,   0,   0,  25,  25,   0, 165, 165,   0, 254, 254,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 245, 245,   1,   7,   7,  41,  41,  41, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  24,  23,  24,  29,   1,  29, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,
  255,   0, 255, 255,   0, 255, 250,   0, 250, 147,   0, 147,  14,   0,  14,   0,   0,   0,  13,  10,  13,  98,  98,  98, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 118, 118, 118,  32,  23,  32,   0,   0,   0,   2,   0,   2, 100,   0, 100, 231,   0, 231, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255,  49,   0,  49,  13,  12,  13, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  57,  57,  57,
    0,   0,   0,   0,   0, 224,   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, 213,   0,   0,  67,   0,   0,   0,   1,   1,   1,  49,  49,  50, 132, 132, 132, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 122, 122, 122,  28,  28,  36,   0,   0,   0,   0,   0,   1,   0,   0,  91,   0,   0, 226,   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, 125,   0,   0,   0, 111, 111, 111, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  24,  25,  25,   1,  23,  23,   0, 254, 254,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 187, 187,   0,  34,  34,   0,   0,   0,
    3,   6,   6,  73,  73,  73, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 137, 137, 137,
   58,  66,  66,   1,   3,   3,   0,   0,   0,   0,  38,  38,   0, 180, 180,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 179, 179,   0,   0,   0,  80,  80,  80, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  63,  63,  63,   0,   0,   0, 210,   0, 210, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 176,   0, 176,  31,   0,  31,   0,   0,   0,   5,   3,   5,  74,  74,  74,
  139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 102, 102, 102,  19,  10,  19,
    0,   0,   0,   8,   0,   8, 126,   0, 126, 243,   0, 243, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 230,   0, 230,   1,   0,   1,  51,  51,  51, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  95,  95,  95,   0,   0,   0,   0,   0, 150,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,
    0,   0, 255,   0,   0, 255,   0,   0, 235,   0,   0, 106,   0,   0,   2,   0,   0,   0,  25,  25,  28, 121, 121, 121, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 111, 111, 111,  16,  16,  29,   0,   0,   0,   0,   0,   4,   0,   0, 109,   0,   0, 239,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0, 255,   0,   0,  52,   8,   8,  11, 138, 138, 138, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156,
  195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140,  66,  66,  66,   0,   0,   0,   0, 195, 195,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 201, 201,   0,  54,  54,   0,   0,   0,   1,   2,   2,  53,  55,  55, 136, 136, 136, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 130, 130, 130,  32,  47,  47,   0,   1,   1,   0,   0,   0,   0,  69,  69,
    0, 209, 209,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0,  95,  95,   0,   0,   0, 120, 120, 120, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 105, 105, 105,   0,   0,   0, 124,   0, 124, 255,   0, 255, 255,   0, 255, 255,   0, 255, 255,   0, 255, 203,   0, 203,  57,   0,  57,   0,   0,   0,   2,   1,   2,  52,  50,  52, 135, 135, 135, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  85,  79,  85,   9,   3,   9,   0,   0,   0,  19,   0,  19, 149,   0, 149, 250,   0, 250,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 120, 120, 124,  16,  16,  38,   0,   0,   1,   0,   0,   0,   0,   0,   0,  86,  86,  86, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216,
  182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 130, 130, 130,  15,  15,  15,   1,   3,   3,  57,  62,  62, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136,
   34,  64,  64,   1,   2,   2,  43,  43,  43, 136, 136, 136, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 130, 130, 130,
   32,  32,  32,   2,   1,   2,  58,  52,  58, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 106,  86, 106,  15,   6,  15,
   16,  16,  16, 116, 116, 116, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  73,  73,  73,   0,   0,   0,  14,  14,  22, 113, 113, 113, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  94,  94, 112,   6,   6,  22,   5,   5,   5, 112, 112, 112, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  88,  88,  88,  16,  16,  16,  68,  68,  68, 133, 133, 133, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 124, 124, 124,  54,  54,  54,  22,  22,  22, 114, 114, 114, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 103, 103, 103,  16,  16,  16,  72,  72,  72, 131, 131, 131, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 139, 139, 139,  89,  89,  89,  18,  18,  18,  82,  82,  82, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 130, 130, 130,
   36,  36,  36,  37,  37,  37,  98,  98,  98, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140,  91,  91,  91,  20,  20,  20,  63,  63,  63, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 114, 114, 114,  28,  28,  28,  28,  28,  28,  69,  69,  69, 140, 140, 140, 140, 140, 140, 140, 140, 140, 108, 108, 108, 128, 128, 128, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 114, 114, 114, 122, 122, 122, 140, 140, 140,  49,  49,  49,  28,  28,  28,  28,  28,  28, 133, 133, 133, 140, 140, 140, 120, 120, 120,
   32,  32,  32,  28,  28,  28,  28,  28,  28,  52,  52,  52, 138, 138, 138,  94,  94,  94,  28,  28,  28,  28,  28,  28,  28,  28,  28,  79,  79,  79, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140,  37,  37,  37,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9, 121, 121, 121, 127, 127, 127, 127, 127, 127, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 134, 134, 134, 121, 121, 121, 140, 140, 140,  66,  66,  66,   9,   9,   9,   9,   9,   9, 101, 101, 101, 140, 140, 140, 124, 124, 124, 105, 105, 105, 140, 140, 140,
  139, 139, 139, 103, 103, 103, 120, 120, 120, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136,  46,  46,  46,  28,  28,  28,  28,  28,  28,  31,  31,  31, 119, 119, 119, 124, 124, 124,  33,  33,  33,  28,  28,  28,  28,  28,  28,  48,  48,  48, 130, 130, 130, 103, 103, 103, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136, 100, 100, 100, 140, 140, 140,  97,  97,  97,
   28,  28,  28,  28,  28,  28,  28,  28,  28,  76,  76,  76, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156,
  195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 130, 130, 130,  93,  93,  93,   7,   7,   7,  52,  52,  52,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 103, 103, 103,  47,  47,  47,   0,   0,   0, 131, 131, 131, 140, 140, 140,  46,  46,  46,  16,  16,  16,  93,  93,  93,  76,  76,  76,   0,   0,   0,  93,  93,  93,   9,   9,   9,
   40,  40,  40,  93,  93,  93,  52,  52,  52,   1,   1,   1, 129, 129, 129, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  29,  29,  29,  31,  31,  31, 103, 103, 103, 103, 103, 103, 103, 103, 103,
  135, 135, 135, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 125, 125, 125,  83,  83,  83,   0,   0,   0,  98,  98,  98, 140, 140, 140,  76,  76,  76,   8,   8,   8, 140, 140, 140,  80,  80,  80,   6,   6,   6, 120, 120, 120, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  88,  88,  88,   0,   0,   0,  88,  88,  88,
  102, 102, 102,  18,  18,  18,  54,  54,  54,  52,  52,  52,  13,  13,  13,  92,  92,  92,  80,  80,  80,   0,   0,   0,  87,  87,  87, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  13,  13,  13,  37,  37,  37,  93,  93,  93,  54,  54,  54,   0,   0,   0, 126, 126, 126, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144,
  141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  10,  10,  10,  52,  52,  52, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  29,  29,  29,  29,  29,  29,  50,  50,  50,  47,  47,  47,  76,  76,  76, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  86,  86,  86,   0,   0,   0, 112, 112, 112, 103, 103, 103,  94,  94,  94, 129, 129, 129,  50,  50,  50,  31,  31,  31, 140, 140, 140,
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   76,  76,  76,   7,   7,   7,  38,  38,  38,   5,   5,   5, 132, 132, 132, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140,  85,  85,  85,  75,  75,  75,  83,  83,  83,  86,  86,  86,   0,   0,   0,  16,  16,  16,  19,  19,  19,   1,   1,   1,  80,  80,  80,  50,  50,  50,  31,  31,  31, 140, 140, 140, 137, 137, 137,   0,   0,   0,  84,  84,  84, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  70,  70,  70,   0,   0,   0, 131, 131, 131, 140, 140, 140,  44,  44,  44,  37,  37,  37, 140, 140, 140, 131, 131, 131,
    0,   0,   0,  91,  91,  91,   7,   7,   7,  74,  74,  74, 140, 140, 140,  93,  93,  93,   0,   0,   0, 127, 127, 127, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 125, 125, 125, 127, 127, 127,
  140, 140, 140, 111, 111, 111,   0,   0,   0, 105, 105, 105, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 103, 103, 103,   0,   0,   0,  98,  98,  98, 140, 140, 140,  76,  76,  76,   0,   0,   0,  28,  28,  28,   7,   7,   7,  74,  74,  74, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  52,  52,  52,  37,  37,  37,  49,  49,  49,
   86,  86,  86,   0,   0,   0, 132, 132, 132, 140, 140, 140,  33,  33,  33,  48,  48,  48,  50,  50,  50,  31,  31,  31, 140, 140, 140, 137, 137, 137,   0,   0,   0,  84,  84,  84, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  11,  11,  11,  70,  70,  70, 140, 140, 140,  98,  98,  98,
    0,   0,   0, 124, 124, 124, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216,
  182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136, 121, 121, 121,   9,   9,   9,  44,  44,  44, 124, 124, 124, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 125, 125, 125,  61,  61,  61,   0,   0,   0, 113, 113, 113, 134, 134, 134,  44,  44,  44,  24,  24,  24, 121, 121, 121, 102, 102, 102,   0,   0,   0,  91,  91,  91,   7,   7,   7,  55,  55,  55, 121, 121, 121,  70,  70,  70,
    0,   0,   0, 127, 127, 127, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  29,  29,  29,  28,  28,  28, 103, 103, 103,  77,  77,  77,   0,   0,   0, 106, 106, 106, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 119, 119, 119,  76,  76,  76,   0,   0,   0,  72,  72,  72, 119, 119, 119,  76,  76,  76,   2,   2,   2, 116, 116, 116,  65,  65,  65,  11,  11,  11, 133, 133, 133, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  86,  86,  86,   0,   0,   0, 118, 118, 118, 130, 130, 130,  25,  25,  25,  48,  48,  48,
   50,  50,  50,  19,  19,  19, 120, 120, 120, 107, 107, 107,   0,   0,   0,  84,  84,  84, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  11,  11,  11,  52,  52,  52, 121, 121, 121,  74,  74,  74,   0,   0,   0, 124, 124, 124, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 107, 107, 107,   0,   0,   0,   0,   0,   0,   0,   0,   0,  13,  13,  13, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
   27,  27,  27,   0,   0,   0,   0,   0,   0,   0,   0,   0,  92,  92,  92, 104, 104, 104,   4,   4,   4,   0,   0,   0,   0,   0,   0,  25,  25,  25, 131, 131, 131,  71,  71,  71,   0,   0,   0,   0,   0,   0,   0,   0,   0,  52,  52,  52, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 101, 101, 101,  11,  11,  11,   9,   9,   9,   9,   9,   9,  46,  46,  46, 137, 137, 137, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  66,  66,  66,   9,   9,   9,
    9,   9,   9,   9,   9,   9,  65,  65,  65,  81,  81,  81,  17,  17,  17, 140, 140, 140, 129, 129, 129,  14,  14,  14,  82,  82,  82, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 125, 125, 125,  17,  17,  17,   0,   0,   0,   0,   0,   0,   4,   4,   4, 105, 105, 105, 108, 108, 108,   6,   6,   6,   0,   0,   0,   0,   0,   0,  23,  23,  23, 129, 129, 129,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,  79,  79,  79,   0,   0,   0,   0,   0,   0,   0,   0,   0,  51,  51,  51, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 138, 138, 138, 131, 131, 131, 131, 131, 131, 131, 131, 131, 132, 132, 132, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 133, 133, 133, 131, 131, 131, 131, 131, 131, 131, 131, 131, 137, 137, 137, 140, 140, 140,
  133, 133, 133, 131, 131, 131, 131, 131, 131, 137, 137, 137, 140, 140, 140, 140, 140, 140, 131, 131, 131, 131, 131, 131, 131, 131, 131, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 136, 136, 136, 131, 131, 131, 131, 131, 131, 133, 133, 133, 140, 140, 140, 140, 140, 140, 134, 134, 134, 131, 131, 131, 131, 131, 131, 136, 136, 136, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  131, 131, 131, 131, 131, 131, 131, 131, 131, 139, 139, 139, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 144, 144, 144, 156, 156, 156,
  195, 195, 195, 222, 222, 222, 216, 216, 216, 182, 182, 182, 157, 157, 157, 144, 144, 144, 141, 141, 141, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
  140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140,
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    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,   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,   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,   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,   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,   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,   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,   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,   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,   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,   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,   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,   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,   6,   6,   6,   6,   6,   6,   6,   6,   6,  11,  11,  11,  18,  18,  18,  39,  39,  39,  65,  65,  65,  99,  99,  99, 133, 133, 133, 144, 144, 144, 156, 156, 156, 195, 195, 195, 222, 222, 222, 216, 216, 216, 136, 136, 136,  45,  45,  45,   2,   2,   2,
   10,  10,  10,  26,  26,  26,  37,  37,  37,  46,  46,  46,  50,  50,  50,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  30,  30,  30,  30,  30,  30,  30,  30,  30,  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,  29,  29,  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,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  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,
   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,  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,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  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,  14,  14,  14,  14,  14,  14,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,  10,  10,  10,  10,  10,  10,  10,  10,  10,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   2,   2,   2,   2,   2,   2,   2,   2,   2,   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,   4,   4,   4,   4,   4,   4,   3,   3,   3,  48,  48,  48, 127, 127, 127, 195, 195, 195, 212, 212, 212,  70,  70,  70,   0,   0,   0,  23,  23,  23,  52,  52,  52,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   3,   3,   3,   1,   1,   1, 193, 193, 193,  54,  54,  54,   3,   3,   3,  47,  47,  47,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 137, 137, 137,   0,   0,   0,  34,  34,  34,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 104, 104, 104,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  52,  47,  64,  74,  59,  64,  74,  59,  64,  74,  59,
   64,  74,  59,  64,  74,  59,  64,  74,  59,  63,  73,  58,  63,  73,  58,  63,  73,  58,  63,  73,  58,  63,  73,  58,  62,  72,  57,  62,  72,  57,  62,  72,  57,  62,  72,  57,  62,  72,  57,  61,  71,  56,  61,  71,  56,  61,  71,  56,  61,  71,  56,  61,  71,  56,  61,  71,  56,  60,  70,  55,  60,  70,  55,
   60,  70,  55,  60,  70,  55,  60,  70,  55,  59,  69,  54,  59,  69,  54,  59,  69,  54,  59,  69,  54,  59,  69,  54,  58,  68,  53,  58,  68,  53,  58,  68,  53,  58,  68,  53,  58,  68,  53,  57,  67,  52,  57,  67,  52,  57,  67,  52,  57,  67,  52,  57,  67,  52,  57,  67,  52,  57,  67,  52,  57,  67,  52,
   57,  67,  52,  57,  67,  52,  56,  66,  51,  56,  66,  51,  56,  66,  51,  56,  66,  51,  56,  66,  51,  56,  66,  51,  55,  65,  50,  55,  65,  50,  55,  65,  50,  55,  65,  50,  55,  65,  50,  54,  64,  49,  54,  64,  49,  54,  64,  49,  54,  64,  49,  54,  64,  49,  53,  63,  48,  53,  63,  48,  53,  63,  48,
   53,  63,  48,  53,  63,  48,  52,  62,  47,  52,  62,  47,  52,  62,  47,  52,  62,  47,  52,  62,  47,  51,  61,  46,  51,  61,  46,  51,  61,  46,  51,  61,  46,  51,  61,  46,  50,  60,  45,  50,  60,  45,  50,  60,  45,  50,  60,  45,  50,  60,  45,  50,  60,  45,  50,  60,  45,  50,  60,  45,  50,  60,  45,
   50,  60,  45,  50,  60,  45,  49,  59,  44,  49,  59,  44,  49,  59,  44,  49,  59,  44,  49,  59,  44,  48,  58,  43,  48,  58,  43,  48,  58,  43,  48,  58,  43,  48,  58,  43,  47,  57,  42,  47,  57,  42,  47,  57,  42,  47,  57,  42,  47,  57,  42,  46,  56,  41,  46,  56,  41,  46,  56,  41,  46,  56,  41,
   46,  56,  41,  45,  55,  40,  45,  55,  40,  45,  55,  40,  45,  55,  40,  45,  55,  40,  45,  55,  40,  44,  54,  39,  44,  54,  39,  44,  54,  39,  44,  54,  39,  44,  54,  39,  43,  53,  38,  43,  53,  38,  43,  53,  38,  43,  53,  38,  43,  53,  38,  43,  53,  38,  43,  53,  38,  43,  53,  38,  43,  53,  38,
   43,  53,  38,  42,  52,  37,  42,  52,  37,  42,  52,  37,  42,  52,  37,  42,  52,  37,  41,  51,  36,  41,  51,  36,  41,  51,  36,  41,  51,  36,  41,  51,  36,  40,  50,  35,  40,  50,  35,  40,  50,  35,  40,  50,  35,  40,  50,  35,  40,  50,  35,  39,  49,  34,  39,  49,  34,  39,  49,  34,  39,  49,  34,
   39,  49,  34,  38,  48,  33,  38,  48,  33,  38,  48,  33,  38,  48,  33,  38,  48,  33,  37,  47,  32,  37,  47,  32,  37,  47,  32,  37,  47,  32,  37,  47,  32,  36,  46,  31,  36,  46,  31,  36,  46,  31,  36,  46,  31,  36,  46,  31,  36,  46,  31,  36,  46,  31,  36,  46,  31,  36,  46,  31,  36,  46,  31,
   35,  45,  30,  35,  45,  30,  35,  45,  30,  35,  45,  30,  35,  45,  30,  35,  45,  30,  34,  44,  29,  34,  44,  29,  34,  44,  29,  34,  44,  29,  34,  44,  29,  33,  43,  28,  33,  43,  28,  33,  43,  28,  33,  43,  28,  33,  43,  28,  32,  42,  27,  32,  42,  27,  32,  42,  27,  32,  42,  27,  32,  42,  27,
   31,  41,  26,  31,  41,  26,  31,  41,  26,  31,  41,  26,  31,  41,  26,  30,  40,  25,  30,  40,  25,  30,  40,  25,  30,  40,  25,  30,  40,  25,  29,  39,  24,  29,  39,  24,  29,  39,  24,  29,  39,  24,  29,  39,  24,  29,  39,  24,  29,  39,  24,  29,  39,  24,  29,  39,  24,  29,  39,  24,  29,  39,  24,
   28,  38,  23,  28,  38,  23,  28,  38,  23,  28,  38,  23,  28,  38,  23,  27,  37,  22,  27,  37,  22,  27,  37,  22,  27,  37,  22,  27,  37,  22,  26,  36,  21,  26,  36,  21,  26,  36,  21,  26,  36,  21,  26,  36,  21,  25,  35,  20,  25,  35,  20,  25,  35,  20,  25,  35,  20,  25,  35,  20,  24,  34,  19,
   24,  34,  19,  24,  34,  19,  24,  34,  19,  24,  34,  19,  23,  33,  18,  23,  33,  18,  23,  33,  18,  23,  33,  18,  23,  33,  18,  23,  33,  18,  22,  32,  17,  22,  32,  17,  22,  32,  17,  22,  32,  17,  22,  32,  17,  22,  32,  17,  22,  32,  17,  22,  32,  17,  22,  32,  17,  22,  32,  17,  21,  31,  16,
   21,  31,  16,  21,  31,  16,  21,  31,  16,  21,  31,  16,  20,  30,  15,  20,  30,  15,  20,  30,  15,  20,  30,  15,  20,  30,  15,  19,  29,  14,  19,  29,  14,  19,  29,  14,  19,  29,  14,  19,  29,  14,  18,  28,  13,  18,  28,  13,  18,  28,  13,  18,  28,  13,  18,  28,  13,  18,  28,  13,  17,  27,  12,
   17,  27,  12,  17,  27,  12,  17,  27,  12,  17,  27,  12,  16,  26,  11,  16,  26,  11,  16,  26,  11,  16,  26,  11,  16,  26,  11,  15,  25,  10,  15,  25,  10,  15,  25,  10,  15,  25,  10,  15,  25,  10,  15,  25,  10,  15,  25,  10,  15,  25,  10,  15,  25,  10,  15,  25,  10,  14,  24,   9,  14,  24,   9,
   14,  24,   9,  14,  24,   9,  14,  24,   9,  13,  23,   8,  13,  23,   8,  13,  23,   8,  13,  23,   8,  13,  23,   8,  13,  23,   8,  12,  22,   7,  12,  22,   7,  12,  22,   7,  12,  22,   7,  12,  22,   7,  11,  21,   6,  11,  21,   6,  11,  21,   6,  11,  21,   6,  11,  21,   6,  10,  20,   5,  10,  20,   5,
   10,  20,   5,  10,  20,   5,  10,  20,   5,   9,  19,   4,   9,  19,   4,   9,  19,   4,   9,  19,   4,   9,  19,   4,   8,  18,   3,   8,  18,   3,   8,  18,   3,   8,  18,   3,   8,  18,   3,   8,  18,   3,   8,  18,   3,   8,  18,   3,   8,  18,   3,   8,  18,   3,   8,  18,   3,   7,  17,   2,   7,  17,   2,
    7,  17,   2,   7,  17,   2,   7,  17,   2,   6,  16,   1,   6,  16,   1,   6,  16,   1,   5,  12,   1,   1,   1,   1,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,
   68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0,
  102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,
   60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,
   48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,
   44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
   19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,
   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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,
    7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 102, 102, 102,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,
   67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,
   63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,
   59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,
   51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
   47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
   39,  39,  39,  38,  38,  38,  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,  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,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,
   26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,
   22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,
   18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 103, 103, 103,   0,   0,   0,  49,  49,  49,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,
   66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,
   62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,
   54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
   50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   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,  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,  29,  29,  29,
   29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,
   17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 127, 127, 127,   0,   0,   0,  39,  39,  39,  68,  68,  68,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,
   65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,
   61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
   57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
   52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
   48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
   44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,
   40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,
   20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,
   16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,
   12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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,   0,   0,   0, 187, 187, 187,  31,  31,  31,   8,   8,   8,
   57,  57,  57,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  67,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,
   64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,
   59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
   51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,
   47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,
   43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,
   39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,
   19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
   15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    7,   7,   7,   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,   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,   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,   0,   0,   0, 195, 195, 195, 192, 192, 192,  35,  35,  35,   5,   5,   5,  35,  35,  35,  63,  63,  63,  67,  67,  67,  67,  67,  67,  67,  67,  67,
   66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,
   62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,
   58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,
   54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,
   50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,
   46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,
   34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
   22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
   18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,
    9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   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,   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, 195, 195, 195, 222, 222, 222, 211, 211, 211, 102, 102, 102,  15,  15,  15,   3,   3,   3,  22,  22,  22,  38,  38,  38,  50,  50,  50,  58,  58,  58,  63,  63,  63,  66,  66,  66,  66,  66,  66,  66,  66,  66,  65,  65,  65,
   65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  65,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  64,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  63,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  62,  61,  61,  61,
   61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  61,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  60,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  59,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  58,  57,  57,  57,
   57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  57,  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,  55,  55,  55,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  54,  53,  53,  53,  53,  53,  53,
   53,  53,  53,  53,  53,  53,  53,  53,  53,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  49,  49,  49,  49,  49,  49,
   49,  49,  49,  49,  49,  49,  49,  49,  49,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  45,  45,  45,  45,  45,  45,
   45,  45,  45,  45,  45,  45,  45,  45,  45,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  43,  43,  43,  43,  43,  43,  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,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  38,  38,  38,  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,  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,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  34,  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,  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,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
   29,  29,  29,  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,  26,  26,  26,  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,  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,  23,  23,  23,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  22,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
   21,  21,  21,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
   16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  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,
   12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  11,  11,  11,  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,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   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,   4,   4,   4,
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  123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123, 123,
  123, 123, 123, 123, 123, 123, 123, 123, 123, 109, 109, 109,  68,  68,  68,  46,  46,  46,  27,  27,  27,  22,  22,  22,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,
   23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,
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const char* ZamGrainsArtwork::zamgrainsData = (const char*)temp_zamgrains_2;