(* Created by Wolfram Mathematica 6.0 *)
{{{}}, {{2}, {1}}, {{2, 3}, {1}, {1}}, {{2, 3, 4}, {1}, {1}, {1}}, 
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  {15}, {15}, {15}, {10, 20, 21, 22}, {19}, {19}, {19}}, 
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  {12, 18, 19, 20}, {17}, {17}, {17}, {12, 22, 23, 24}, {21}, {21}, {21}}, 
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  {36}, {36}, {36}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, 
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  {9, 24, 28, 32}, {23, 25, 26, 27}, {24}, {24}, {24}, {23, 29, 30, 31}, 
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  {33}, {33}, {33}, {10, 38, 42, 46}, {37, 39, 40, 41}, {38}, {38}, {38}, 
  {37, 43, 44, 45}, {42}, {42}, {42}, {37, 47, 48, 49}, {46}, {46}, {46}}, 
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  {38, 40, 41, 42}, {39}, {39}, {39}, {38, 44, 45, 46}, {43}, {43}, {43}, 
  {38, 48, 49, 50}, {47}, {47}, {47}}, {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, 
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  {48}, {48}, {48}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, 
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  {27, 37, 38, 39}, {36}, {36}, {36}, {13, 41, 45, 49}, {40, 42, 43, 44}, 
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  {49}, {49}, {49}}, {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, 
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  {14, 29, 33, 37}, {28, 30, 31, 32}, {29}, {29}, {29}, {28, 34, 35, 36}, 
  {33}, {33}, {33}, {28, 38, 39, 40}, {37}, {37}, {37}, {14, 42, 46, 50}, 
  {41, 43, 44, 45}, {42}, {42}, {42}, {41, 47, 48, 49}, {46}, {46}, {46}, 
  {41, 51, 52, 53}, {50}, {50}, {50}}, {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, 
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  {6, 21, 25, 29}, {20, 22, 23, 24}, {21}, {21}, {21}, {20, 26, 27, 28}, 
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  {33, 43, 47, 51}, {42, 44, 45, 46}, {43}, {43}, {43}, {42, 48, 49, 50}, 
  {47}, {47}, {47}, {42, 52, 53, 54}, {51}, {51}, {51}}, 
 {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, {6}, 
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  {25, 31, 35, 39}, {30, 32, 33, 34}, {31}, {31}, {31}, {30, 36, 37, 38}, 
  {35}, {35}, {35}, {30, 40, 41, 42}, {39}, {39}, {39}, {25, 44, 48, 52}, 
  {43, 45, 46, 47}, {44}, {44}, {44}, {43, 49, 50, 51}, {48}, {48}, {48}, 
  {43, 53, 54, 55}, {52}, {52}, {52}}, {{2}, {1, 3, 4, 5}, {2}, {2}, 
  {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, {5, 11, 12, 13}, {10}, {10}, 
  {10}, {5, 15, 16, 17}, {14}, {14}, {14, 18, 31, 44}, {17, 19, 23, 27}, 
  {18, 20, 21, 22}, {19}, {19}, {19}, {18, 24, 25, 26}, {23}, {23}, {23}, 
  {18, 28, 29, 30}, {27}, {27}, {27}, {17, 32, 36, 40}, {31, 33, 34, 35}, 
  {32}, {32}, {32}, {31, 37, 38, 39}, {36}, {36}, {36}, {31, 41, 42, 43}, 
  {40}, {40}, {40}, {17, 45, 49, 53}, {44, 46, 47, 48}, {45}, {45}, {45}, 
  {44, 50, 51, 52}, {49}, {49}, {49}, {44, 54, 55, 56}, {53}, {53}, {53}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, 
  {6, 10, 14, 18}, {9, 11, 12, 13}, {10}, {10}, {10}, {9, 15, 16, 17}, {14}, 
  {14}, {14}, {9, 19, 32, 45}, {18, 20, 24, 28}, {19, 21, 22, 23}, {20}, 
  {20}, {20}, {19, 25, 26, 27}, {24}, {24}, {24}, {19, 29, 30, 31}, {28}, 
  {28}, {28}, {18, 33, 37, 41}, {32, 34, 35, 36}, {33}, {33}, {33}, 
  {32, 38, 39, 40}, {37}, {37}, {37}, {32, 42, 43, 44}, {41}, {41}, {41}, 
  {18, 46, 50, 54}, {45, 47, 48, 49}, {46}, {46}, {46}, {45, 51, 52, 53}, 
  {50}, {50}, {50}, {45, 55, 56, 57}, {54}, {54}, {54}}, 
 {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, {6}, 
  {1, 11, 24, 37}, {10, 12, 16, 20}, {11, 13, 14, 15}, {12}, {12}, {12}, 
  {11, 17, 18, 19}, {16}, {16}, {16}, {11, 21, 22, 23}, {20}, {20}, {20}, 
  {10, 25, 29, 33}, {24, 26, 27, 28}, {25}, {25}, {25}, {24, 30, 31, 32}, 
  {29}, {29}, {29}, {24, 34, 35, 36}, {33}, {33}, {33}, {10, 38, 42, 46}, 
  {37, 39, 40, 41}, {38}, {38}, {38}, {37, 43, 44, 45}, {42}, {42}, {42}, 
  {37, 47, 51, 55}, {46, 48, 49, 50}, {47}, {47}, {47}, {46, 52, 53, 54}, 
  {51}, {51}, {51}, {46, 56, 57, 58}, {55}, {55}, {55}}, 
 {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, 
  {5, 11, 12, 13}, {10}, {10}, {10}, {5, 15, 16, 29}, {14}, {14, 17, 21, 25}, 
  {16, 18, 19, 20}, {17}, {17}, {17}, {16, 22, 23, 24}, {21}, {21}, {21}, 
  {16, 26, 27, 28}, {25}, {25}, {25}, {14, 30, 34, 47}, {29, 31, 32, 33}, 
  {30}, {30}, {30}, {29, 35, 39, 43}, {34, 36, 37, 38}, {35}, {35}, {35}, 
  {34, 40, 41, 42}, {39}, {39}, {39}, {34, 44, 45, 46}, {43}, {43}, {43}, 
  {29, 48, 52, 56}, {47, 49, 50, 51}, {48}, {48}, {48}, {47, 53, 54, 55}, 
  {52}, {52}, {52}, {47, 57, 58, 59}, {56}, {56}, {56}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 21}, {6}, {6, 9, 13, 17}, 
  {8, 10, 11, 12}, {9}, {9}, {9}, {8, 14, 15, 16}, {13}, {13}, {13}, 
  {8, 18, 19, 20}, {17}, {17}, {17}, {6, 22, 35, 48}, {21, 23, 27, 31}, 
  {22, 24, 25, 26}, {23}, {23}, {23}, {22, 28, 29, 30}, {27}, {27}, {27}, 
  {22, 32, 33, 34}, {31}, {31}, {31}, {21, 36, 40, 44}, {35, 37, 38, 39}, 
  {36}, {36}, {36}, {35, 41, 42, 43}, {40}, {40}, {40}, {35, 45, 46, 47}, 
  {44}, {44}, {44}, {21, 49, 53, 57}, {48, 50, 51, 52}, {49}, {49}, {49}, 
  {48, 54, 55, 56}, {53}, {53}, {53}, {48, 58, 59, 60}, {57}, {57}, {57}}, 
 {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, {6}, 
  {1, 11, 12, 13}, {10}, {10}, {10, 14, 18, 22}, {13, 15, 16, 17}, {14}, 
  {14}, {14}, {13, 19, 20, 21}, {18}, {18}, {18}, {13, 23, 36, 49}, 
  {22, 24, 28, 32}, {23, 25, 26, 27}, {24}, {24}, {24}, {23, 29, 30, 31}, 
  {28}, {28}, {28}, {23, 33, 34, 35}, {32}, {32}, {32}, {22, 37, 41, 45}, 
  {36, 38, 39, 40}, {37}, {37}, {37}, {36, 42, 43, 44}, {41}, {41}, {41}, 
  {36, 46, 47, 48}, {45}, {45}, {45}, {22, 50, 54, 58}, {49, 51, 52, 53}, 
  {50}, {50}, {50}, {49, 55, 56, 57}, {54}, {54}, {54}, {49, 59, 60, 61}, 
  {58}, {58}, {58}}, {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, 
  {5, 7, 8, 9}, {6}, {6}, {6}, {5, 11, 12, 13}, {10}, {10}, {10}, 
  {5, 15, 28, 41}, {14, 16, 20, 24}, {15, 17, 18, 19}, {16}, {16}, {16}, 
  {15, 21, 22, 23}, {20}, {20}, {20}, {15, 25, 26, 27}, {24}, {24}, {24}, 
  {14, 29, 33, 37}, {28, 30, 31, 32}, {29}, {29}, {29}, {28, 34, 35, 36}, 
  {33}, {33}, {33}, {28, 38, 39, 40}, {37}, {37}, {37}, {14, 42, 46, 50}, 
  {41, 43, 44, 45}, {42}, {42}, {42}, {41, 47, 48, 49}, {46}, {46}, {46}, 
  {41, 51, 55, 59}, {50, 52, 53, 54}, {51}, {51}, {51}, {50, 56, 57, 58}, 
  {55}, {55}, {55}, {50, 60, 61, 62}, {59}, {59}, {59}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 20, 33}, {6, 8, 12, 16}, 
  {7, 9, 10, 11}, {8}, {8}, {8}, {7, 13, 14, 15}, {12}, {12}, {12}, 
  {7, 17, 18, 19}, {16}, {16}, {16}, {6, 21, 25, 29}, {20, 22, 23, 24}, {21}, 
  {21}, {21}, {20, 26, 27, 28}, {25}, {25}, {25}, {20, 30, 31, 32}, {29}, 
  {29}, {29}, {6, 34, 38, 51}, {33, 35, 36, 37}, {34}, {34}, {34}, 
  {33, 39, 43, 47}, {38, 40, 41, 42}, {39}, {39}, {39}, {38, 44, 45, 46}, 
  {43}, {43}, {43}, {38, 48, 49, 50}, {47}, {47}, {47}, {33, 52, 56, 60}, 
  {51, 53, 54, 55}, {52}, {52}, {52}, {51, 57, 58, 59}, {56}, {56}, {56}, 
  {51, 61, 62, 63}, {60}, {60}, {60}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, 
  {2}, {1, 7, 8, 9}, {6}, {6}, {6}, {1, 11, 12, 25}, {10}, {10, 13, 17, 21}, 
  {12, 14, 15, 16}, {13}, {13}, {13}, {12, 18, 19, 20}, {17}, {17}, {17}, 
  {12, 22, 23, 24}, {21}, {21}, {21}, {10, 26, 39, 52}, {25, 27, 31, 35}, 
  {26, 28, 29, 30}, {27}, {27}, {27}, {26, 32, 33, 34}, {31}, {31}, {31}, 
  {26, 36, 37, 38}, {35}, {35}, {35}, {25, 40, 44, 48}, {39, 41, 42, 43}, 
  {40}, {40}, {40}, {39, 45, 46, 47}, {44}, {44}, {44}, {39, 49, 50, 51}, 
  {48}, {48}, {48}, {25, 53, 57, 61}, {52, 54, 55, 56}, {53}, {53}, {53}, 
  {52, 58, 59, 60}, {57}, {57}, {57}, {52, 62, 63, 64}, {61}, {61}, {61}}, 
 {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, 
  {5, 11, 12, 13}, {10}, {10}, {10}, {5, 15, 16, 17}, {14}, {14}, 
  {14, 18, 22, 26}, {17, 19, 20, 21}, {18}, {18}, {18}, {17, 23, 24, 25}, 
  {22}, {22}, {22}, {17, 27, 40, 53}, {26, 28, 32, 36}, {27, 29, 30, 31}, 
  {28}, {28}, {28}, {27, 33, 34, 35}, {32}, {32}, {32}, {27, 37, 38, 39}, 
  {36}, {36}, {36}, {26, 41, 45, 49}, {40, 42, 43, 44}, {41}, {41}, {41}, 
  {40, 46, 47, 48}, {45}, {45}, {45}, {40, 50, 51, 52}, {49}, {49}, {49}, 
  {26, 54, 58, 62}, {53, 55, 56, 57}, {54}, {54}, {54}, {53, 59, 60, 61}, 
  {58}, {58}, {58}, {53, 63, 64, 65}, {62}, {62}, {62}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, 
  {6, 10, 14, 27}, {9, 11, 12, 13}, {10}, {10}, {10}, {9, 15, 19, 23}, 
  {14, 16, 17, 18}, {15}, {15}, {15}, {14, 20, 21, 22}, {19}, {19}, {19}, 
  {14, 24, 25, 26}, {23}, {23}, {23}, {9, 28, 41, 54}, {27, 29, 33, 37}, 
  {28, 30, 31, 32}, {29}, {29}, {29}, {28, 34, 35, 36}, {33}, {33}, {33}, 
  {28, 38, 39, 40}, {37}, {37}, {37}, {27, 42, 46, 50}, {41, 43, 44, 45}, 
  {42}, {42}, {42}, {41, 47, 48, 49}, {46}, {46}, {46}, {41, 51, 52, 53}, 
  {50}, {50}, {50}, {27, 55, 59, 63}, {54, 56, 57, 58}, {55}, {55}, {55}, 
  {54, 60, 61, 62}, {59}, {59}, {59}, {54, 64, 65, 66}, {63}, {63}, {63}}, 
 {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, {6}, 
  {1, 11, 24, 37}, {10, 12, 16, 20}, {11, 13, 14, 15}, {12}, {12}, {12}, 
  {11, 17, 18, 19}, {16}, {16}, {16}, {11, 21, 22, 23}, {20}, {20}, {20}, 
  {10, 25, 29, 33}, {24, 26, 27, 28}, {25}, {25}, {25}, {24, 30, 31, 32}, 
  {29}, {29}, {29}, {24, 34, 35, 36}, {33}, {33}, {33}, {10, 38, 42, 55}, 
  {37, 39, 40, 41}, {38}, {38}, {38}, {37, 43, 47, 51}, {42, 44, 45, 46}, 
  {43}, {43}, {43}, {42, 48, 49, 50}, {47}, {47}, {47}, {42, 52, 53, 54}, 
  {51}, {51}, {51}, {37, 56, 60, 64}, {55, 57, 58, 59}, {56}, {56}, {56}, 
  {55, 61, 62, 63}, {60}, {60}, {60}, {55, 65, 66, 67}, {64}, {64}, {64}}, 
 {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, 
  {5, 11, 12, 13}, {10}, {10}, {10}, {5, 15, 16, 29}, {14}, {14, 17, 21, 25}, 
  {16, 18, 19, 20}, {17}, {17}, {17}, {16, 22, 23, 24}, {21}, {21}, {21}, 
  {16, 26, 27, 28}, {25}, {25}, {25}, {14, 30, 43, 56}, {29, 31, 35, 39}, 
  {30, 32, 33, 34}, {31}, {31}, {31}, {30, 36, 37, 38}, {35}, {35}, {35}, 
  {30, 40, 41, 42}, {39}, {39}, {39}, {29, 44, 48, 52}, {43, 45, 46, 47}, 
  {44}, {44}, {44}, {43, 49, 50, 51}, {48}, {48}, {48}, {43, 53, 54, 55}, 
  {52}, {52}, {52}, {29, 57, 61, 65}, {56, 58, 59, 60}, {57}, {57}, {57}, 
  {56, 62, 63, 64}, {61}, {61}, {61}, {56, 66, 67, 68}, {65}, {65}, {65}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 21}, {6}, {6, 9, 13, 17}, 
  {8, 10, 11, 12}, {9}, {9}, {9}, {8, 14, 15, 16}, {13}, {13}, {13}, 
  {8, 18, 19, 20}, {17}, {17}, {17}, {6, 22, 26, 30}, {21, 23, 24, 25}, {22}, 
  {22}, {22}, {21, 27, 28, 29}, {26}, {26}, {26}, {21, 31, 44, 57}, 
  {30, 32, 36, 40}, {31, 33, 34, 35}, {32}, {32}, {32}, {31, 37, 38, 39}, 
  {36}, {36}, {36}, {31, 41, 42, 43}, {40}, {40}, {40}, {30, 45, 49, 53}, 
  {44, 46, 47, 48}, {45}, {45}, {45}, {44, 50, 51, 52}, {49}, {49}, {49}, 
  {44, 54, 55, 56}, {53}, {53}, {53}, {30, 58, 62, 66}, {57, 59, 60, 61}, 
  {58}, {58}, {58}, {57, 63, 64, 65}, {62}, {62}, {62}, {57, 67, 68, 69}, 
  {66}, {66}, {66}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, 
  {6}, {6}, {6}, {1, 11, 12, 13}, {10}, {10}, {10, 14, 18, 31}, 
  {13, 15, 16, 17}, {14}, {14}, {14}, {13, 19, 23, 27}, {18, 20, 21, 22}, 
  {19}, {19}, {19}, {18, 24, 25, 26}, {23}, {23}, {23}, {18, 28, 29, 30}, 
  {27}, {27}, {27}, {13, 32, 45, 58}, {31, 33, 37, 41}, {32, 34, 35, 36}, 
  {33}, {33}, {33}, {32, 38, 39, 40}, {37}, {37}, {37}, {32, 42, 43, 44}, 
  {41}, {41}, {41}, {31, 46, 50, 54}, {45, 47, 48, 49}, {46}, {46}, {46}, 
  {45, 51, 52, 53}, {50}, {50}, {50}, {45, 55, 56, 57}, {54}, {54}, {54}, 
  {31, 59, 63, 67}, {58, 60, 61, 62}, {59}, {59}, {59}, {58, 64, 65, 66}, 
  {63}, {63}, {63}, {58, 68, 69, 70}, {67}, {67}, {67}}, 
 {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, 
  {5, 11, 12, 13}, {10}, {10}, {10}, {5, 15, 28, 41}, {14, 16, 20, 24}, 
  {15, 17, 18, 19}, {16}, {16}, {16}, {15, 21, 22, 23}, {20}, {20}, {20}, 
  {15, 25, 26, 27}, {24}, {24}, {24}, {14, 29, 33, 37}, {28, 30, 31, 32}, 
  {29}, {29}, {29}, {28, 34, 35, 36}, {33}, {33}, {33}, {28, 38, 39, 40}, 
  {37}, {37}, {37}, {14, 42, 46, 59}, {41, 43, 44, 45}, {42}, {42}, {42}, 
  {41, 47, 51, 55}, {46, 48, 49, 50}, {47}, {47}, {47}, {46, 52, 53, 54}, 
  {51}, {51}, {51}, {46, 56, 57, 58}, {55}, {55}, {55}, {41, 60, 64, 68}, 
  {59, 61, 62, 63}, {60}, {60}, {60}, {59, 65, 66, 67}, {64}, {64}, {64}, 
  {59, 69, 70, 71}, {68}, {68}, {68}}, {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, 
  {1, 7, 20, 33}, {6, 8, 12, 16}, {7, 9, 10, 11}, {8}, {8}, {8}, 
  {7, 13, 14, 15}, {12}, {12}, {12}, {7, 17, 18, 19}, {16}, {16}, {16}, 
  {6, 21, 25, 29}, {20, 22, 23, 24}, {21}, {21}, {21}, {20, 26, 27, 28}, 
  {25}, {25}, {25}, {20, 30, 31, 32}, {29}, {29}, {29}, {6, 34, 47, 60}, 
  {33, 35, 39, 43}, {34, 36, 37, 38}, {35}, {35}, {35}, {34, 40, 41, 42}, 
  {39}, {39}, {39}, {34, 44, 45, 46}, {43}, {43}, {43}, {33, 48, 52, 56}, 
  {47, 49, 50, 51}, {48}, {48}, {48}, {47, 53, 54, 55}, {52}, {52}, {52}, 
  {47, 57, 58, 59}, {56}, {56}, {56}, {33, 61, 65, 69}, {60, 62, 63, 64}, 
  {61}, {61}, {61}, {60, 66, 67, 68}, {65}, {65}, {65}, {60, 70, 71, 72}, 
  {69}, {69}, {69}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, 
  {6}, {6}, {6}, {1, 11, 12, 25}, {10}, {10, 13, 17, 21}, {12, 14, 15, 16}, 
  {13}, {13}, {13}, {12, 18, 19, 20}, {17}, {17}, {17}, {12, 22, 23, 24}, 
  {21}, {21}, {21}, {10, 26, 30, 34}, {25, 27, 28, 29}, {26}, {26}, {26}, 
  {25, 31, 32, 33}, {30}, {30}, {30}, {25, 35, 48, 61}, {34, 36, 40, 44}, 
  {35, 37, 38, 39}, {36}, {36}, {36}, {35, 41, 42, 43}, {40}, {40}, {40}, 
  {35, 45, 46, 47}, {44}, {44}, {44}, {34, 49, 53, 57}, {48, 50, 51, 52}, 
  {49}, {49}, {49}, {48, 54, 55, 56}, {53}, {53}, {53}, {48, 58, 59, 60}, 
  {57}, {57}, {57}, {34, 62, 66, 70}, {61, 63, 64, 65}, {62}, {62}, {62}, 
  {61, 67, 68, 69}, {66}, {66}, {66}, {61, 71, 72, 73}, {70}, {70}, {70}}, 
 {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, 
  {5, 11, 12, 13}, {10}, {10}, {10}, {5, 15, 16, 17}, {14}, {14}, 
  {14, 18, 22, 35}, {17, 19, 20, 21}, {18}, {18}, {18}, {17, 23, 27, 31}, 
  {22, 24, 25, 26}, {23}, {23}, {23}, {22, 28, 29, 30}, {27}, {27}, {27}, 
  {22, 32, 33, 34}, {31}, {31}, {31}, {17, 36, 49, 62}, {35, 37, 41, 45}, 
  {36, 38, 39, 40}, {37}, {37}, {37}, {36, 42, 43, 44}, {41}, {41}, {41}, 
  {36, 46, 47, 48}, {45}, {45}, {45}, {35, 50, 54, 58}, {49, 51, 52, 53}, 
  {50}, {50}, {50}, {49, 55, 56, 57}, {54}, {54}, {54}, {49, 59, 60, 61}, 
  {58}, {58}, {58}, {35, 63, 67, 71}, {62, 64, 65, 66}, {63}, {63}, {63}, 
  {62, 68, 69, 70}, {67}, {67}, {67}, {62, 72, 73, 74}, {71}, {71}, {71}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, 
  {6, 10, 23, 36}, {9, 11, 15, 19}, {10, 12, 13, 14}, {11}, {11}, {11}, 
  {10, 16, 17, 18}, {15}, {15}, {15}, {10, 20, 21, 22}, {19}, {19}, {19}, 
  {9, 24, 28, 32}, {23, 25, 26, 27}, {24}, {24}, {24}, {23, 29, 30, 31}, 
  {28}, {28}, {28}, {23, 33, 34, 35}, {32}, {32}, {32}, {9, 37, 50, 63}, 
  {36, 38, 42, 46}, {37, 39, 40, 41}, {38}, {38}, {38}, {37, 43, 44, 45}, 
  {42}, {42}, {42}, {37, 47, 48, 49}, {46}, {46}, {46}, {36, 51, 55, 59}, 
  {50, 52, 53, 54}, {51}, {51}, {51}, {50, 56, 57, 58}, {55}, {55}, {55}, 
  {50, 60, 61, 62}, {59}, {59}, {59}, {36, 64, 68, 72}, {63, 65, 66, 67}, 
  {64}, {64}, {64}, {63, 69, 70, 71}, {68}, {68}, {68}, {63, 73, 74, 75}, 
  {72}, {72}, {72}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, 
  {6}, {6}, {6}, {1, 11, 24, 37}, {10, 12, 16, 20}, {11, 13, 14, 15}, {12}, 
  {12}, {12}, {11, 17, 18, 19}, {16}, {16}, {16}, {11, 21, 22, 23}, {20}, 
  {20}, {20}, {10, 25, 29, 33}, {24, 26, 27, 28}, {25}, {25}, {25}, 
  {24, 30, 31, 32}, {29}, {29}, {29}, {24, 34, 35, 36}, {33}, {33}, {33}, 
  {10, 38, 51, 64}, {37, 39, 43, 47}, {38, 40, 41, 42}, {39}, {39}, {39}, 
  {38, 44, 45, 46}, {43}, {43}, {43}, {38, 48, 49, 50}, {47}, {47}, {47}, 
  {37, 52, 56, 60}, {51, 53, 54, 55}, {52}, {52}, {52}, {51, 57, 58, 59}, 
  {56}, {56}, {56}, {51, 61, 62, 63}, {60}, {60}, {60}, {37, 65, 69, 73}, 
  {64, 66, 67, 68}, {65}, {65}, {65}, {64, 70, 71, 72}, {69}, {69}, {69}, 
  {64, 74, 75, 76}, {73}, {73}, {73}}, {{2}, {1, 3, 4, 5}, {2}, {2}, 
  {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, {5, 11, 12, 13}, {10}, {10}, 
  {10}, {5, 15, 16, 29}, {14}, {14, 17, 21, 25}, {16, 18, 19, 20}, {17}, 
  {17}, {17}, {16, 22, 23, 24}, {21}, {21}, {21}, {16, 26, 27, 28}, {25}, 
  {25}, {25}, {14, 30, 34, 38}, {29, 31, 32, 33}, {30}, {30}, {30}, 
  {29, 35, 36, 37}, {34}, {34}, {34}, {29, 39, 52, 65}, {38, 40, 44, 48}, 
  {39, 41, 42, 43}, {40}, {40}, {40}, {39, 45, 46, 47}, {44}, {44}, {44}, 
  {39, 49, 50, 51}, {48}, {48}, {48}, {38, 53, 57, 61}, {52, 54, 55, 56}, 
  {53}, {53}, {53}, {52, 58, 59, 60}, {57}, {57}, {57}, {52, 62, 63, 64}, 
  {61}, {61}, {61}, {38, 66, 70, 74}, {65, 67, 68, 69}, {66}, {66}, {66}, 
  {65, 71, 72, 73}, {70}, {70}, {70}, {65, 75, 76, 77}, {74}, {74}, {74}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 21}, {6}, {6, 9, 13, 17}, 
  {8, 10, 11, 12}, {9}, {9}, {9}, {8, 14, 15, 16}, {13}, {13}, {13}, 
  {8, 18, 19, 20}, {17}, {17}, {17}, {6, 22, 26, 39}, {21, 23, 24, 25}, {22}, 
  {22}, {22}, {21, 27, 31, 35}, {26, 28, 29, 30}, {27}, {27}, {27}, 
  {26, 32, 33, 34}, {31}, {31}, {31}, {26, 36, 37, 38}, {35}, {35}, {35}, 
  {21, 40, 53, 66}, {39, 41, 45, 49}, {40, 42, 43, 44}, {41}, {41}, {41}, 
  {40, 46, 47, 48}, {45}, {45}, {45}, {40, 50, 51, 52}, {49}, {49}, {49}, 
  {39, 54, 58, 62}, {53, 55, 56, 57}, {54}, {54}, {54}, {53, 59, 60, 61}, 
  {58}, {58}, {58}, {53, 63, 64, 65}, {62}, {62}, {62}, {39, 67, 71, 75}, 
  {66, 68, 69, 70}, {67}, {67}, {67}, {66, 72, 73, 74}, {71}, {71}, {71}, 
  {66, 76, 77, 78}, {75}, {75}, {75}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, 
  {2}, {1, 7, 8, 9}, {6}, {6}, {6}, {1, 11, 12, 13}, {10}, {10}, 
  {10, 14, 27, 40}, {13, 15, 19, 23}, {14, 16, 17, 18}, {15}, {15}, {15}, 
  {14, 20, 21, 22}, {19}, {19}, {19}, {14, 24, 25, 26}, {23}, {23}, {23}, 
  {13, 28, 32, 36}, {27, 29, 30, 31}, {28}, {28}, {28}, {27, 33, 34, 35}, 
  {32}, {32}, {32}, {27, 37, 38, 39}, {36}, {36}, {36}, {13, 41, 54, 67}, 
  {40, 42, 46, 50}, {41, 43, 44, 45}, {42}, {42}, {42}, {41, 47, 48, 49}, 
  {46}, {46}, {46}, {41, 51, 52, 53}, {50}, {50}, {50}, {40, 55, 59, 63}, 
  {54, 56, 57, 58}, {55}, {55}, {55}, {54, 60, 61, 62}, {59}, {59}, {59}, 
  {54, 64, 65, 66}, {63}, {63}, {63}, {40, 68, 72, 76}, {67, 69, 70, 71}, 
  {68}, {68}, {68}, {67, 73, 74, 75}, {72}, {72}, {72}, {67, 77, 78, 79}, 
  {76}, {76}, {76}}, {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, 
  {5, 7, 8, 9}, {6}, {6}, {6}, {5, 11, 12, 13}, {10}, {10}, {10}, 
  {5, 15, 28, 41}, {14, 16, 20, 24}, {15, 17, 18, 19}, {16}, {16}, {16}, 
  {15, 21, 22, 23}, {20}, {20}, {20}, {15, 25, 26, 27}, {24}, {24}, {24}, 
  {14, 29, 33, 37}, {28, 30, 31, 32}, {29}, {29}, {29}, {28, 34, 35, 36}, 
  {33}, {33}, {33}, {28, 38, 39, 40}, {37}, {37}, {37}, {14, 42, 55, 68}, 
  {41, 43, 47, 51}, {42, 44, 45, 46}, {43}, {43}, {43}, {42, 48, 49, 50}, 
  {47}, {47}, {47}, {42, 52, 53, 54}, {51}, {51}, {51}, {41, 56, 60, 64}, 
  {55, 57, 58, 59}, {56}, {56}, {56}, {55, 61, 62, 63}, {60}, {60}, {60}, 
  {55, 65, 66, 67}, {64}, {64}, {64}, {41, 69, 73, 77}, {68, 70, 71, 72}, 
  {69}, {69}, {69}, {68, 74, 75, 76}, {73}, {73}, {73}, {68, 78, 79, 80}, 
  {77}, {77}, {77}}, {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 20, 33}, 
  {6, 8, 12, 16}, {7, 9, 10, 11}, {8}, {8}, {8}, {7, 13, 14, 15}, {12}, {12}, 
  {12}, {7, 17, 18, 19}, {16}, {16}, {16}, {6, 21, 25, 29}, {20, 22, 23, 24}, 
  {21}, {21}, {21}, {20, 26, 27, 28}, {25}, {25}, {25}, {20, 30, 31, 32}, 
  {29}, {29}, {29}, {6, 34, 38, 42}, {33, 35, 36, 37}, {34}, {34}, {34}, 
  {33, 39, 40, 41}, {38}, {38}, {38}, {33, 43, 56, 69}, {42, 44, 48, 52}, 
  {43, 45, 46, 47}, {44}, {44}, {44}, {43, 49, 50, 51}, {48}, {48}, {48}, 
  {43, 53, 54, 55}, {52}, {52}, {52}, {42, 57, 61, 65}, {56, 58, 59, 60}, 
  {57}, {57}, {57}, {56, 62, 63, 64}, {61}, {61}, {61}, {56, 66, 67, 68}, 
  {65}, {65}, {65}, {42, 70, 74, 78}, {69, 71, 72, 73}, {70}, {70}, {70}, 
  {69, 75, 76, 77}, {74}, {74}, {74}, {69, 79, 80, 81}, {78}, {78}, {78}}, 
 {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, {6}, 
  {1, 11, 12, 25}, {10}, {10, 13, 17, 21}, {12, 14, 15, 16}, {13}, {13}, 
  {13}, {12, 18, 19, 20}, {17}, {17}, {17}, {12, 22, 23, 24}, {21}, {21}, 
  {21}, {10, 26, 30, 43}, {25, 27, 28, 29}, {26}, {26}, {26}, 
  {25, 31, 35, 39}, {30, 32, 33, 34}, {31}, {31}, {31}, {30, 36, 37, 38}, 
  {35}, {35}, {35}, {30, 40, 41, 42}, {39}, {39}, {39}, {25, 44, 57, 70}, 
  {43, 45, 49, 53}, {44, 46, 47, 48}, {45}, {45}, {45}, {44, 50, 51, 52}, 
  {49}, {49}, {49}, {44, 54, 55, 56}, {53}, {53}, {53}, {43, 58, 62, 66}, 
  {57, 59, 60, 61}, {58}, {58}, {58}, {57, 63, 64, 65}, {62}, {62}, {62}, 
  {57, 67, 68, 69}, {66}, {66}, {66}, {43, 71, 75, 79}, {70, 72, 73, 74}, 
  {71}, {71}, {71}, {70, 76, 77, 78}, {75}, {75}, {75}, {70, 80, 81, 82}, 
  {79}, {79}, {79}}, {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, 
  {5, 7, 8, 9}, {6}, {6}, {6}, {5, 11, 12, 13}, {10}, {10}, {10}, 
  {5, 15, 16, 17}, {14}, {14}, {14, 18, 31, 44}, {17, 19, 23, 27}, 
  {18, 20, 21, 22}, {19}, {19}, {19}, {18, 24, 25, 26}, {23}, {23}, {23}, 
  {18, 28, 29, 30}, {27}, {27}, {27}, {17, 32, 36, 40}, {31, 33, 34, 35}, 
  {32}, {32}, {32}, {31, 37, 38, 39}, {36}, {36}, {36}, {31, 41, 42, 43}, 
  {40}, {40}, {40}, {17, 45, 58, 71}, {44, 46, 50, 54}, {45, 47, 48, 49}, 
  {46}, {46}, {46}, {45, 51, 52, 53}, {50}, {50}, {50}, {45, 55, 56, 57}, 
  {54}, {54}, {54}, {44, 59, 63, 67}, {58, 60, 61, 62}, {59}, {59}, {59}, 
  {58, 64, 65, 66}, {63}, {63}, {63}, {58, 68, 69, 70}, {67}, {67}, {67}, 
  {44, 72, 76, 80}, {71, 73, 74, 75}, {72}, {72}, {72}, {71, 77, 78, 79}, 
  {76}, {76}, {76}, {71, 81, 82, 83}, {80}, {80}, {80}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, 
  {6, 10, 14, 18}, {9, 11, 12, 13}, {10}, {10}, {10}, {9, 15, 16, 17}, {14}, 
  {14}, {14}, {9, 19, 32, 45}, {18, 20, 24, 28}, {19, 21, 22, 23}, {20}, 
  {20}, {20}, {19, 25, 26, 27}, {24}, {24}, {24}, {19, 29, 30, 31}, {28}, 
  {28}, {28}, {18, 33, 37, 41}, {32, 34, 35, 36}, {33}, {33}, {33}, 
  {32, 38, 39, 40}, {37}, {37}, {37}, {32, 42, 43, 44}, {41}, {41}, {41}, 
  {18, 46, 59, 72}, {45, 47, 51, 55}, {46, 48, 49, 50}, {47}, {47}, {47}, 
  {46, 52, 53, 54}, {51}, {51}, {51}, {46, 56, 57, 58}, {55}, {55}, {55}, 
  {45, 60, 64, 68}, {59, 61, 62, 63}, {60}, {60}, {60}, {59, 65, 66, 67}, 
  {64}, {64}, {64}, {59, 69, 70, 71}, {68}, {68}, {68}, {45, 73, 77, 81}, 
  {72, 74, 75, 76}, {73}, {73}, {73}, {72, 78, 79, 80}, {77}, {77}, {77}, 
  {72, 82, 83, 84}, {81}, {81}, {81}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, 
  {2}, {1, 7, 8, 9}, {6}, {6}, {6}, {1, 11, 24, 37}, {10, 12, 16, 20}, 
  {11, 13, 14, 15}, {12}, {12}, {12}, {11, 17, 18, 19}, {16}, {16}, {16}, 
  {11, 21, 22, 23}, {20}, {20}, {20}, {10, 25, 29, 33}, {24, 26, 27, 28}, 
  {25}, {25}, {25}, {24, 30, 31, 32}, {29}, {29}, {29}, {24, 34, 35, 36}, 
  {33}, {33}, {33}, {10, 38, 42, 46}, {37, 39, 40, 41}, {38}, {38}, {38}, 
  {37, 43, 44, 45}, {42}, {42}, {42}, {37, 47, 60, 73}, {46, 48, 52, 56}, 
  {47, 49, 50, 51}, {48}, {48}, {48}, {47, 53, 54, 55}, {52}, {52}, {52}, 
  {47, 57, 58, 59}, {56}, {56}, {56}, {46, 61, 65, 69}, {60, 62, 63, 64}, 
  {61}, {61}, {61}, {60, 66, 67, 68}, {65}, {65}, {65}, {60, 70, 71, 72}, 
  {69}, {69}, {69}, {46, 74, 78, 82}, {73, 75, 76, 77}, {74}, {74}, {74}, 
  {73, 79, 80, 81}, {78}, {78}, {78}, {73, 83, 84, 85}, {82}, {82}, {82}}, 
 {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, 
  {5, 11, 12, 13}, {10}, {10}, {10}, {5, 15, 16, 29}, {14}, {14, 17, 21, 25}, 
  {16, 18, 19, 20}, {17}, {17}, {17}, {16, 22, 23, 24}, {21}, {21}, {21}, 
  {16, 26, 27, 28}, {25}, {25}, {25}, {14, 30, 34, 47}, {29, 31, 32, 33}, 
  {30}, {30}, {30}, {29, 35, 39, 43}, {34, 36, 37, 38}, {35}, {35}, {35}, 
  {34, 40, 41, 42}, {39}, {39}, {39}, {34, 44, 45, 46}, {43}, {43}, {43}, 
  {29, 48, 61, 74}, {47, 49, 53, 57}, {48, 50, 51, 52}, {49}, {49}, {49}, 
  {48, 54, 55, 56}, {53}, {53}, {53}, {48, 58, 59, 60}, {57}, {57}, {57}, 
  {47, 62, 66, 70}, {61, 63, 64, 65}, {62}, {62}, {62}, {61, 67, 68, 69}, 
  {66}, {66}, {66}, {61, 71, 72, 73}, {70}, {70}, {70}, {47, 75, 79, 83}, 
  {74, 76, 77, 78}, {75}, {75}, {75}, {74, 80, 81, 82}, {79}, {79}, {79}, 
  {74, 84, 85, 86}, {83}, {83}, {83}}, {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, 
  {1, 7, 8, 21}, {6}, {6, 9, 13, 17}, {8, 10, 11, 12}, {9}, {9}, {9}, 
  {8, 14, 15, 16}, {13}, {13}, {13}, {8, 18, 19, 20}, {17}, {17}, {17}, 
  {6, 22, 35, 48}, {21, 23, 27, 31}, {22, 24, 25, 26}, {23}, {23}, {23}, 
  {22, 28, 29, 30}, {27}, {27}, {27}, {22, 32, 33, 34}, {31}, {31}, {31}, 
  {21, 36, 40, 44}, {35, 37, 38, 39}, {36}, {36}, {36}, {35, 41, 42, 43}, 
  {40}, {40}, {40}, {35, 45, 46, 47}, {44}, {44}, {44}, {21, 49, 62, 75}, 
  {48, 50, 54, 58}, {49, 51, 52, 53}, {50}, {50}, {50}, {49, 55, 56, 57}, 
  {54}, {54}, {54}, {49, 59, 60, 61}, {58}, {58}, {58}, {48, 63, 67, 71}, 
  {62, 64, 65, 66}, {63}, {63}, {63}, {62, 68, 69, 70}, {67}, {67}, {67}, 
  {62, 72, 73, 74}, {71}, {71}, {71}, {48, 76, 80, 84}, {75, 77, 78, 79}, 
  {76}, {76}, {76}, {75, 81, 82, 83}, {80}, {80}, {80}, {75, 85, 86, 87}, 
  {84}, {84}, {84}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, 
  {6}, {6}, {6}, {1, 11, 12, 13}, {10}, {10}, {10, 14, 18, 22}, 
  {13, 15, 16, 17}, {14}, {14}, {14}, {13, 19, 20, 21}, {18}, {18}, {18}, 
  {13, 23, 36, 49}, {22, 24, 28, 32}, {23, 25, 26, 27}, {24}, {24}, {24}, 
  {23, 29, 30, 31}, {28}, {28}, {28}, {23, 33, 34, 35}, {32}, {32}, {32}, 
  {22, 37, 41, 45}, {36, 38, 39, 40}, {37}, {37}, {37}, {36, 42, 43, 44}, 
  {41}, {41}, {41}, {36, 46, 47, 48}, {45}, {45}, {45}, {22, 50, 63, 76}, 
  {49, 51, 55, 59}, {50, 52, 53, 54}, {51}, {51}, {51}, {50, 56, 57, 58}, 
  {55}, {55}, {55}, {50, 60, 61, 62}, {59}, {59}, {59}, {49, 64, 68, 72}, 
  {63, 65, 66, 67}, {64}, {64}, {64}, {63, 69, 70, 71}, {68}, {68}, {68}, 
  {63, 73, 74, 75}, {72}, {72}, {72}, {49, 77, 81, 85}, {76, 78, 79, 80}, 
  {77}, {77}, {77}, {76, 82, 83, 84}, {81}, {81}, {81}, {76, 86, 87, 88}, 
  {85}, {85}, {85}}, {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, 
  {5, 7, 8, 9}, {6}, {6}, {6}, {5, 11, 12, 13}, {10}, {10}, {10}, 
  {5, 15, 28, 41}, {14, 16, 20, 24}, {15, 17, 18, 19}, {16}, {16}, {16}, 
  {15, 21, 22, 23}, {20}, {20}, {20}, {15, 25, 26, 27}, {24}, {24}, {24}, 
  {14, 29, 33, 37}, {28, 30, 31, 32}, {29}, {29}, {29}, {28, 34, 35, 36}, 
  {33}, {33}, {33}, {28, 38, 39, 40}, {37}, {37}, {37}, {14, 42, 46, 50}, 
  {41, 43, 44, 45}, {42}, {42}, {42}, {41, 47, 48, 49}, {46}, {46}, {46}, 
  {41, 51, 64, 77}, {50, 52, 56, 60}, {51, 53, 54, 55}, {52}, {52}, {52}, 
  {51, 57, 58, 59}, {56}, {56}, {56}, {51, 61, 62, 63}, {60}, {60}, {60}, 
  {50, 65, 69, 73}, {64, 66, 67, 68}, {65}, {65}, {65}, {64, 70, 71, 72}, 
  {69}, {69}, {69}, {64, 74, 75, 76}, {73}, {73}, {73}, {50, 78, 82, 86}, 
  {77, 79, 80, 81}, {78}, {78}, {78}, {77, 83, 84, 85}, {82}, {82}, {82}, 
  {77, 87, 88, 89}, {86}, {86}, {86}}, {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, 
  {1, 7, 20, 33}, {6, 8, 12, 16}, {7, 9, 10, 11}, {8}, {8}, {8}, 
  {7, 13, 14, 15}, {12}, {12}, {12}, {7, 17, 18, 19}, {16}, {16}, {16}, 
  {6, 21, 25, 29}, {20, 22, 23, 24}, {21}, {21}, {21}, {20, 26, 27, 28}, 
  {25}, {25}, {25}, {20, 30, 31, 32}, {29}, {29}, {29}, {6, 34, 38, 51}, 
  {33, 35, 36, 37}, {34}, {34}, {34}, {33, 39, 43, 47}, {38, 40, 41, 42}, 
  {39}, {39}, {39}, {38, 44, 45, 46}, {43}, {43}, {43}, {38, 48, 49, 50}, 
  {47}, {47}, {47}, {33, 52, 65, 78}, {51, 53, 57, 61}, {52, 54, 55, 56}, 
  {53}, {53}, {53}, {52, 58, 59, 60}, {57}, {57}, {57}, {52, 62, 63, 64}, 
  {61}, {61}, {61}, {51, 66, 70, 74}, {65, 67, 68, 69}, {66}, {66}, {66}, 
  {65, 71, 72, 73}, {70}, {70}, {70}, {65, 75, 76, 77}, {74}, {74}, {74}, 
  {51, 79, 83, 87}, {78, 80, 81, 82}, {79}, {79}, {79}, {78, 84, 85, 86}, 
  {83}, {83}, {83}, {78, 88, 89, 90}, {87}, {87}, {87}}, 
 {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, {6}, 
  {1, 11, 12, 25}, {10}, {10, 13, 17, 21}, {12, 14, 15, 16}, {13}, {13}, 
  {13}, {12, 18, 19, 20}, {17}, {17}, {17}, {12, 22, 23, 24}, {21}, {21}, 
  {21}, {10, 26, 39, 52}, {25, 27, 31, 35}, {26, 28, 29, 30}, {27}, {27}, 
  {27}, {26, 32, 33, 34}, {31}, {31}, {31}, {26, 36, 37, 38}, {35}, {35}, 
  {35}, {25, 40, 44, 48}, {39, 41, 42, 43}, {40}, {40}, {40}, 
  {39, 45, 46, 47}, {44}, {44}, {44}, {39, 49, 50, 51}, {48}, {48}, {48}, 
  {25, 53, 66, 79}, {52, 54, 58, 62}, {53, 55, 56, 57}, {54}, {54}, {54}, 
  {53, 59, 60, 61}, {58}, {58}, {58}, {53, 63, 64, 65}, {62}, {62}, {62}, 
  {52, 67, 71, 75}, {66, 68, 69, 70}, {67}, {67}, {67}, {66, 72, 73, 74}, 
  {71}, {71}, {71}, {66, 76, 77, 78}, {75}, {75}, {75}, {52, 80, 84, 88}, 
  {79, 81, 82, 83}, {80}, {80}, {80}, {79, 85, 86, 87}, {84}, {84}, {84}, 
  {79, 89, 90, 91}, {88}, {88}, {88}}, {{2}, {1, 3, 4, 5}, {2}, {2}, 
  {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, {5, 11, 12, 13}, {10}, {10}, 
  {10}, {5, 15, 16, 17}, {14}, {14}, {14, 18, 22, 26}, {17, 19, 20, 21}, 
  {18}, {18}, {18}, {17, 23, 24, 25}, {22}, {22}, {22}, {17, 27, 40, 53}, 
  {26, 28, 32, 36}, {27, 29, 30, 31}, {28}, {28}, {28}, {27, 33, 34, 35}, 
  {32}, {32}, {32}, {27, 37, 38, 39}, {36}, {36}, {36}, {26, 41, 45, 49}, 
  {40, 42, 43, 44}, {41}, {41}, {41}, {40, 46, 47, 48}, {45}, {45}, {45}, 
  {40, 50, 51, 52}, {49}, {49}, {49}, {26, 54, 67, 80}, {53, 55, 59, 63}, 
  {54, 56, 57, 58}, {55}, {55}, {55}, {54, 60, 61, 62}, {59}, {59}, {59}, 
  {54, 64, 65, 66}, {63}, {63}, {63}, {53, 68, 72, 76}, {67, 69, 70, 71}, 
  {68}, {68}, {68}, {67, 73, 74, 75}, {72}, {72}, {72}, {67, 77, 78, 79}, 
  {76}, {76}, {76}, {53, 81, 85, 89}, {80, 82, 83, 84}, {81}, {81}, {81}, 
  {80, 86, 87, 88}, {85}, {85}, {85}, {80, 90, 91, 92}, {89}, {89}, {89}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, 
  {6, 10, 14, 54}, {9, 11, 12, 13}, {10}, {10}, {10}, {9, 15, 28, 41}, 
  {14, 16, 20, 24}, {15, 17, 18, 19}, {16}, {16}, {16}, {15, 21, 22, 23}, 
  {20}, {20}, {20}, {15, 25, 26, 27}, {24}, {24}, {24}, {14, 29, 33, 37}, 
  {28, 30, 31, 32}, {29}, {29}, {29}, {28, 34, 35, 36}, {33}, {33}, {33}, 
  {28, 38, 39, 40}, {37}, {37}, {37}, {14, 42, 46, 50}, {41, 43, 44, 45}, 
  {42}, {42}, {42}, {41, 47, 48, 49}, {46}, {46}, {46}, {41, 51, 52, 53}, 
  {50}, {50}, {50}, {9, 55, 68, 81}, {54, 56, 60, 64}, {55, 57, 58, 59}, 
  {56}, {56}, {56}, {55, 61, 62, 63}, {60}, {60}, {60}, {55, 65, 66, 67}, 
  {64}, {64}, {64}, {54, 69, 73, 77}, {68, 70, 71, 72}, {69}, {69}, {69}, 
  {68, 74, 75, 76}, {73}, {73}, {73}, {68, 78, 79, 80}, {77}, {77}, {77}, 
  {54, 82, 86, 90}, {81, 83, 84, 85}, {82}, {82}, {82}, {81, 87, 88, 89}, 
  {86}, {86}, {86}, {81, 91, 92, 93}, {90}, {90}, {90}}, 
 {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, {6}, 
  {1, 11, 24, 37}, {10, 12, 16, 20}, {11, 13, 14, 15}, {12}, {12}, {12}, 
  {11, 17, 18, 19}, {16}, {16}, {16}, {11, 21, 22, 23}, {20}, {20}, {20}, 
  {10, 25, 29, 33}, {24, 26, 27, 28}, {25}, {25}, {25}, {24, 30, 31, 32}, 
  {29}, {29}, {29}, {24, 34, 35, 36}, {33}, {33}, {33}, {10, 38, 42, 55}, 
  {37, 39, 40, 41}, {38}, {38}, {38}, {37, 43, 47, 51}, {42, 44, 45, 46}, 
  {43}, {43}, {43}, {42, 48, 49, 50}, {47}, {47}, {47}, {42, 52, 53, 54}, 
  {51}, {51}, {51}, {37, 56, 69, 82}, {55, 57, 61, 65}, {56, 58, 59, 60}, 
  {57}, {57}, {57}, {56, 62, 63, 64}, {61}, {61}, {61}, {56, 66, 67, 68}, 
  {65}, {65}, {65}, {55, 70, 74, 78}, {69, 71, 72, 73}, {70}, {70}, {70}, 
  {69, 75, 76, 77}, {74}, {74}, {74}, {69, 79, 80, 81}, {78}, {78}, {78}, 
  {55, 83, 87, 91}, {82, 84, 85, 86}, {83}, {83}, {83}, {82, 88, 89, 90}, 
  {87}, {87}, {87}, {82, 92, 93, 94}, {91}, {91}, {91}}, 
 {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, 
  {5, 11, 12, 13}, {10}, {10}, {10}, {5, 15, 16, 29}, {14}, {14, 17, 21, 25}, 
  {16, 18, 19, 20}, {17}, {17}, {17}, {16, 22, 23, 24}, {21}, {21}, {21}, 
  {16, 26, 27, 28}, {25}, {25}, {25}, {14, 30, 43, 56}, {29, 31, 35, 39}, 
  {30, 32, 33, 34}, {31}, {31}, {31}, {30, 36, 37, 38}, {35}, {35}, {35}, 
  {30, 40, 41, 42}, {39}, {39}, {39}, {29, 44, 48, 52}, {43, 45, 46, 47}, 
  {44}, {44}, {44}, {43, 49, 50, 51}, {48}, {48}, {48}, {43, 53, 54, 55}, 
  {52}, {52}, {52}, {29, 57, 70, 83}, {56, 58, 62, 66}, {57, 59, 60, 61}, 
  {58}, {58}, {58}, {57, 63, 64, 65}, {62}, {62}, {62}, {57, 67, 68, 69}, 
  {66}, {66}, {66}, {56, 71, 75, 79}, {70, 72, 73, 74}, {71}, {71}, {71}, 
  {70, 76, 77, 78}, {75}, {75}, {75}, {70, 80, 81, 82}, {79}, {79}, {79}, 
  {56, 84, 88, 92}, {83, 85, 86, 87}, {84}, {84}, {84}, {83, 89, 90, 91}, 
  {88}, {88}, {88}, {83, 93, 94, 95}, {92}, {92}, {92}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 21}, {6}, {6, 9, 13, 17}, 
  {8, 10, 11, 12}, {9}, {9}, {9}, {8, 14, 15, 16}, {13}, {13}, {13}, 
  {8, 18, 19, 20}, {17}, {17}, {17}, {6, 22, 26, 30}, {21, 23, 24, 25}, {22}, 
  {22}, {22}, {21, 27, 28, 29}, {26}, {26}, {26}, {21, 31, 44, 57}, 
  {30, 32, 36, 40}, {31, 33, 34, 35}, {32}, {32}, {32}, {31, 37, 38, 39}, 
  {36}, {36}, {36}, {31, 41, 42, 43}, {40}, {40}, {40}, {30, 45, 49, 53}, 
  {44, 46, 47, 48}, {45}, {45}, {45}, {44, 50, 51, 52}, {49}, {49}, {49}, 
  {44, 54, 55, 56}, {53}, {53}, {53}, {30, 58, 71, 84}, {57, 59, 63, 67}, 
  {58, 60, 61, 62}, {59}, {59}, {59}, {58, 64, 65, 66}, {63}, {63}, {63}, 
  {58, 68, 69, 70}, {67}, {67}, {67}, {57, 72, 76, 80}, {71, 73, 74, 75}, 
  {72}, {72}, {72}, {71, 77, 78, 79}, {76}, {76}, {76}, {71, 81, 82, 83}, 
  {80}, {80}, {80}, {57, 85, 89, 93}, {84, 86, 87, 88}, {85}, {85}, {85}, 
  {84, 90, 91, 92}, {89}, {89}, {89}, {84, 94, 95, 96}, {93}, {93}, {93}}, 
 {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, {6}, 
  {1, 11, 12, 13}, {10}, {10}, {10, 14, 18, 58}, {13, 15, 16, 17}, {14}, 
  {14}, {14}, {13, 19, 32, 45}, {18, 20, 24, 28}, {19, 21, 22, 23}, {20}, 
  {20}, {20}, {19, 25, 26, 27}, {24}, {24}, {24}, {19, 29, 30, 31}, {28}, 
  {28}, {28}, {18, 33, 37, 41}, {32, 34, 35, 36}, {33}, {33}, {33}, 
  {32, 38, 39, 40}, {37}, {37}, {37}, {32, 42, 43, 44}, {41}, {41}, {41}, 
  {18, 46, 50, 54}, {45, 47, 48, 49}, {46}, {46}, {46}, {45, 51, 52, 53}, 
  {50}, {50}, {50}, {45, 55, 56, 57}, {54}, {54}, {54}, {13, 59, 72, 85}, 
  {58, 60, 64, 68}, {59, 61, 62, 63}, {60}, {60}, {60}, {59, 65, 66, 67}, 
  {64}, {64}, {64}, {59, 69, 70, 71}, {68}, {68}, {68}, {58, 73, 77, 81}, 
  {72, 74, 75, 76}, {73}, {73}, {73}, {72, 78, 79, 80}, {77}, {77}, {77}, 
  {72, 82, 83, 84}, {81}, {81}, {81}, {58, 86, 90, 94}, {85, 87, 88, 89}, 
  {86}, {86}, {86}, {85, 91, 92, 93}, {90}, {90}, {90}, {85, 95, 96, 97}, 
  {94}, {94}, {94}}, {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, 
  {5, 7, 8, 9}, {6}, {6}, {6}, {5, 11, 12, 13}, {10}, {10}, {10}, 
  {5, 15, 28, 41}, {14, 16, 20, 24}, {15, 17, 18, 19}, {16}, {16}, {16}, 
  {15, 21, 22, 23}, {20}, {20}, {20}, {15, 25, 26, 27}, {24}, {24}, {24}, 
  {14, 29, 33, 37}, {28, 30, 31, 32}, {29}, {29}, {29}, {28, 34, 35, 36}, 
  {33}, {33}, {33}, {28, 38, 39, 40}, {37}, {37}, {37}, {14, 42, 46, 59}, 
  {41, 43, 44, 45}, {42}, {42}, {42}, {41, 47, 51, 55}, {46, 48, 49, 50}, 
  {47}, {47}, {47}, {46, 52, 53, 54}, {51}, {51}, {51}, {46, 56, 57, 58}, 
  {55}, {55}, {55}, {41, 60, 73, 86}, {59, 61, 65, 69}, {60, 62, 63, 64}, 
  {61}, {61}, {61}, {60, 66, 67, 68}, {65}, {65}, {65}, {60, 70, 71, 72}, 
  {69}, {69}, {69}, {59, 74, 78, 82}, {73, 75, 76, 77}, {74}, {74}, {74}, 
  {73, 79, 80, 81}, {78}, {78}, {78}, {73, 83, 84, 85}, {82}, {82}, {82}, 
  {59, 87, 91, 95}, {86, 88, 89, 90}, {87}, {87}, {87}, {86, 92, 93, 94}, 
  {91}, {91}, {91}, {86, 96, 97, 98}, {95}, {95}, {95}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 20, 33}, {6, 8, 12, 16}, 
  {7, 9, 10, 11}, {8}, {8}, {8}, {7, 13, 14, 15}, {12}, {12}, {12}, 
  {7, 17, 18, 19}, {16}, {16}, {16}, {6, 21, 25, 29}, {20, 22, 23, 24}, {21}, 
  {21}, {21}, {20, 26, 27, 28}, {25}, {25}, {25}, {20, 30, 31, 32}, {29}, 
  {29}, {29}, {6, 34, 47, 60}, {33, 35, 39, 43}, {34, 36, 37, 38}, {35}, 
  {35}, {35}, {34, 40, 41, 42}, {39}, {39}, {39}, {34, 44, 45, 46}, {43}, 
  {43}, {43}, {33, 48, 52, 56}, {47, 49, 50, 51}, {48}, {48}, {48}, 
  {47, 53, 54, 55}, {52}, {52}, {52}, {47, 57, 58, 59}, {56}, {56}, {56}, 
  {33, 61, 74, 87}, {60, 62, 66, 70}, {61, 63, 64, 65}, {62}, {62}, {62}, 
  {61, 67, 68, 69}, {66}, {66}, {66}, {61, 71, 72, 73}, {70}, {70}, {70}, 
  {60, 75, 79, 83}, {74, 76, 77, 78}, {75}, {75}, {75}, {74, 80, 81, 82}, 
  {79}, {79}, {79}, {74, 84, 85, 86}, {83}, {83}, {83}, {60, 88, 92, 96}, 
  {87, 89, 90, 91}, {88}, {88}, {88}, {87, 93, 94, 95}, {92}, {92}, {92}, 
  {87, 97, 98, 99}, {96}, {96}, {96}}, {{2, 6, 10}, {1, 3, 4, 5}, {2}, {2}, 
  {2}, {1, 7, 8, 9}, {6}, {6}, {6}, {1, 11, 12, 25}, {10}, {10, 13, 17, 21}, 
  {12, 14, 15, 16}, {13}, {13}, {13}, {12, 18, 19, 20}, {17}, {17}, {17}, 
  {12, 22, 23, 24}, {21}, {21}, {21}, {10, 26, 30, 34}, {25, 27, 28, 29}, 
  {26}, {26}, {26}, {25, 31, 32, 33}, {30}, {30}, {30}, {25, 35, 48, 61}, 
  {34, 36, 40, 44}, {35, 37, 38, 39}, {36}, {36}, {36}, {35, 41, 42, 43}, 
  {40}, {40}, {40}, {35, 45, 46, 47}, {44}, {44}, {44}, {34, 49, 53, 57}, 
  {48, 50, 51, 52}, {49}, {49}, {49}, {48, 54, 55, 56}, {53}, {53}, {53}, 
  {48, 58, 59, 60}, {57}, {57}, {57}, {34, 62, 75, 88}, {61, 63, 67, 71}, 
  {62, 64, 65, 66}, {63}, {63}, {63}, {62, 68, 69, 70}, {67}, {67}, {67}, 
  {62, 72, 73, 74}, {71}, {71}, {71}, {61, 76, 80, 84}, {75, 77, 78, 79}, 
  {76}, {76}, {76}, {75, 81, 82, 83}, {80}, {80}, {80}, {75, 85, 86, 87}, 
  {84}, {84}, {84}, {61, 89, 93, 97}, {88, 90, 91, 92}, {89}, {89}, {89}, 
  {88, 94, 95, 96}, {93}, {93}, {93}, {88, 98, 99, 100}, {97}, {97}, {97}}, 
 {{2}, {1, 3, 4, 5}, {2}, {2}, {2, 6, 10, 14}, {5, 7, 8, 9}, {6}, {6}, {6}, 
  {5, 11, 12, 13}, {10}, {10}, {10}, {5, 15, 16, 17}, {14}, {14}, 
  {14, 18, 22, 62}, {17, 19, 20, 21}, {18}, {18}, {18}, {17, 23, 36, 49}, 
  {22, 24, 28, 32}, {23, 25, 26, 27}, {24}, {24}, {24}, {23, 29, 30, 31}, 
  {28}, {28}, {28}, {23, 33, 34, 35}, {32}, {32}, {32}, {22, 37, 41, 45}, 
  {36, 38, 39, 40}, {37}, {37}, {37}, {36, 42, 43, 44}, {41}, {41}, {41}, 
  {36, 46, 47, 48}, {45}, {45}, {45}, {22, 50, 54, 58}, {49, 51, 52, 53}, 
  {50}, {50}, {50}, {49, 55, 56, 57}, {54}, {54}, {54}, {49, 59, 60, 61}, 
  {58}, {58}, {58}, {17, 63, 76, 89}, {62, 64, 68, 72}, {63, 65, 66, 67}, 
  {64}, {64}, {64}, {63, 69, 70, 71}, {68}, {68}, {68}, {63, 73, 74, 75}, 
  {72}, {72}, {72}, {62, 77, 81, 85}, {76, 78, 79, 80}, {77}, {77}, {77}, 
  {76, 82, 83, 84}, {81}, {81}, {81}, {76, 86, 87, 88}, {85}, {85}, {85}, 
  {62, 90, 94, 98}, {89, 91, 92, 93}, {90}, {90}, {90}, {89, 95, 96, 97}, 
  {94}, {94}, {94}, {89, 99, 100, 101}, {98}, {98}, {98}}, 
 {{2, 6}, {1, 3, 4, 5}, {2}, {2}, {2}, {1, 7, 8, 9}, {6}, {6}, 
  {6, 10, 23, 63}, {9, 11, 15, 19}, {10, 12, 13, 14}, {11}, {11}, {11}, 
  {10, 16, 17, 18}, {15}, {15}, {15}, {10, 20, 21, 22}, {19}, {19}, {19}, 
  {9, 24, 37, 50}, {23, 25, 29, 33}, {24, 26, 27, 28}, {25}, {25}, {25}, 
  {24, 30, 31, 32}, {29}, {29}, {29}, {24, 34, 35, 36}, {33}, {33}, {33}, 
  {23, 38, 42, 46}, {37, 39, 40, 41}, {38}, {38}, {38}, {37, 43, 44, 45}, 
  {42}, {42}, {42}, {37, 47, 48, 49}, {46}, {46}, {46}, {23, 51, 55, 59}, 
  {50, 52, 53, 54}, {51}, {51}, {51}, {50, 56, 57, 58}, {55}, {55}, {55}, 
  {50, 60, 61, 62}, {59}, {59}, {59}, {9, 64, 77, 90}, {63, 65, 69, 73}, 
  {64, 66, 67, 68}, {65}, {65}, {65}, {64, 70, 71, 72}, {69}, {69}, {69}, 
  {64, 74, 75, 76}, {73}, {73}, {73}, {63, 78, 82, 86}, {77, 79, 80, 81}, 
  {78}, {78}, {78}, {77, 83, 84, 85}, {82}, {82}, {82}, {77, 87, 88, 89}, 
  {86}, {86}, {86}, {63, 91, 95, 99}, {90, 92, 93, 94}, {91}, {91}, {91}, 
  {90, 96, 97, 98}, {95}, {95}, {95}, {90, 100, 101, 102}, {99}, {99}, {99}}}
