Sorting.hpp

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#ifndef LLVMEXPR_UTILS_SORTING_HPP
#define LLVMEXPR_UTILS_SORTING_HPP
 
#include <algorithm>
#include <array>
#include <cstddef>
#include <iterator>
#include <utility>
#include <vector>
 
using Comparator = std::pair<int, int>;
 
// From: https://bertdobbelaere.github.io/sorting_networks_extended.html
constexpr std::array<Comparator, 13976> all_sorting_network_comparators = {
    {{0, 2},   {0, 1},   {1, 2},   {0, 2},   {1, 3},   {0, 1},   {2, 3},
     {1, 2},   {0, 3},   {1, 4},   {0, 2},   {1, 3},   {0, 1},   {2, 4},
     {1, 2},   {3, 4},   {2, 3},   {0, 5},   {1, 3},   {2, 4},   {1, 2},
     {3, 4},   {0, 3},   {2, 5},   {0, 1},   {2, 3},   {4, 5},   {1, 2},
     {3, 4},   {0, 6},   {2, 3},   {4, 5},   {0, 2},   {1, 4},   {3, 6},
     {0, 1},   {2, 5},   {3, 4},   {1, 2},   {4, 6},   {2, 3},   {4, 5},
     {1, 2},   {3, 4},   {5, 6},   {0, 2},   {1, 3},   {4, 6},   {5, 7},
     {0, 4},   {1, 5},   {2, 6},   {3, 7},   {0, 1},   {2, 3},   {4, 5},
     {6, 7},   {2, 4},   {3, 5},   {1, 4},   {3, 6},   {1, 2},   {3, 4},
     {5, 6},   {0, 3},   {1, 7},   {2, 5},   {4, 8},   {0, 7},   {2, 4},
     {3, 8},   {5, 6},   {0, 2},   {1, 3},   {4, 5},   {7, 8},   {1, 4},
     {3, 6},   {5, 7},   {0, 1},   {2, 4},   {3, 5},   {6, 8},   {2, 3},
     {4, 5},   {6, 7},   {1, 2},   {3, 4},   {5, 6},   {0, 8},   {1, 9},
     {2, 7},   {3, 5},   {4, 6},   {0, 2},   {1, 4},   {5, 8},   {7, 9},
     {0, 3},   {2, 4},   {5, 7},   {6, 9},   {0, 1},   {3, 6},   {8, 9},
     {1, 5},   {2, 3},   {4, 8},   {6, 7},   {1, 2},   {3, 5},   {4, 6},
     {7, 8},   {2, 3},   {4, 5},   {6, 7},   {3, 4},   {5, 6},   {0, 9},
     {1, 6},   {2, 4},   {3, 7},   {5, 8},   {0, 1},   {3, 5},   {4, 10},
     {6, 9},   {7, 8},   {1, 3},   {2, 5},   {4, 7},   {8, 10},  {0, 4},
     {1, 2},   {3, 7},   {5, 9},   {6, 8},   {0, 1},   {2, 6},   {4, 5},
     {7, 8},   {9, 10},  {2, 4},   {3, 6},   {5, 7},   {8, 9},   {1, 2},
     {3, 4},   {5, 6},   {7, 8},   {2, 3},   {4, 5},   {6, 7},   {0, 8},
     {1, 7},   {2, 6},   {3, 11},  {4, 10},  {5, 9},   {0, 1},   {2, 5},
     {3, 4},   {6, 9},   {7, 8},   {10, 11}, {0, 2},   {1, 6},   {5, 10},
     {9, 11},  {0, 3},   {1, 2},   {4, 6},   {5, 7},   {8, 11},  {9, 10},
     {1, 4},   {3, 5},   {6, 8},   {7, 10},  {1, 3},   {2, 5},   {6, 9},
     {8, 10},  {2, 3},   {4, 5},   {6, 7},   {8, 9},   {4, 6},   {5, 7},
     {3, 4},   {5, 6},   {7, 8},   {0, 12},  {1, 10},  {2, 9},   {3, 7},
     {5, 11},  {6, 8},   {1, 6},   {2, 3},   {4, 11},  {7, 9},   {8, 10},
     {0, 4},   {1, 2},   {3, 6},   {7, 8},   {9, 10},  {11, 12}, {4, 6},
     {5, 9},   {8, 11},  {10, 12}, {0, 5},   {3, 8},   {4, 7},   {6, 11},
     {9, 10},  {0, 1},   {2, 5},   {6, 9},   {7, 8},   {10, 11}, {1, 3},
     {2, 4},   {5, 6},   {9, 10},  {1, 2},   {3, 4},   {5, 7},   {6, 8},
     {2, 3},   {4, 5},   {6, 7},   {8, 9},   {3, 4},   {5, 6},   {0, 1},
     {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {0, 2},
     {1, 3},   {4, 8},   {5, 9},   {10, 12}, {11, 13}, {0, 4},   {1, 2},
     {3, 7},   {5, 8},   {6, 10},  {9, 13},  {11, 12}, {0, 6},   {1, 5},
     {3, 9},   {4, 10},  {7, 13},  {8, 12},  {2, 10},  {3, 11},  {4, 6},
     {7, 9},   {1, 3},   {2, 8},   {5, 11},  {6, 7},   {10, 12}, {1, 4},
     {2, 6},   {3, 5},   {7, 11},  {8, 10},  {9, 12},  {2, 4},   {3, 6},
     {5, 8},   {7, 10},  {9, 11},  {3, 4},   {5, 6},   {7, 8},   {9, 10},
     {6, 7},   {1, 2},   {3, 10},  {4, 14},  {5, 8},   {6, 13},  {7, 12},
     {9, 11},  {0, 14},  {1, 5},   {2, 8},   {3, 7},   {6, 9},   {10, 12},
     {11, 13}, {0, 7},   {1, 6},   {2, 9},   {4, 10},  {5, 11},  {8, 13},
     {12, 14}, {0, 6},   {2, 4},   {3, 5},   {7, 11},  {8, 10},  {9, 12},
     {13, 14}, {0, 3},   {1, 2},   {4, 7},   {5, 9},   {6, 8},   {10, 11},
     {12, 13}, {0, 1},   {2, 3},   {4, 6},   {7, 9},   {10, 12}, {11, 13},
     {1, 2},   {3, 5},   {8, 10},  {11, 12}, {3, 4},   {5, 6},   {7, 8},
     {9, 10},  {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {5, 6},
     {7, 8},   {0, 13},  {1, 12},  {2, 15},  {3, 14},  {4, 8},   {5, 6},
     {7, 11},  {9, 10},  {0, 5},   {1, 7},   {2, 9},   {3, 4},   {6, 13},
     {8, 14},  {10, 15}, {11, 12}, {0, 1},   {2, 3},   {4, 5},   {6, 8},
     {7, 9},   {10, 11}, {12, 13}, {14, 15}, {0, 2},   {1, 3},   {4, 10},
     {5, 11},  {6, 7},   {8, 9},   {12, 14}, {13, 15}, {1, 2},   {3, 12},
     {4, 6},   {5, 7},   {8, 10},  {9, 11},  {13, 14}, {1, 4},   {2, 6},
     {5, 8},   {7, 10},  {9, 13},  {11, 14}, {2, 4},   {3, 6},   {9, 12},
     {11, 13}, {3, 5},   {6, 8},   {7, 9},   {10, 12}, {3, 4},   {5, 6},
     {7, 8},   {9, 10},  {11, 12}, {6, 7},   {8, 9},   {0, 11},  {1, 15},
     {2, 10},  {3, 5},   {4, 6},   {8, 12},  {9, 16},  {13, 14}, {0, 6},
     {1, 13},  {2, 8},   {4, 14},  {5, 15},  {7, 11},  {0, 8},   {3, 7},
     {4, 9},   {6, 16},  {10, 11}, {12, 14}, {0, 2},   {1, 4},   {5, 6},
     {7, 13},  {8, 9},   {10, 12}, {11, 14}, {15, 16}, {0, 3},   {2, 5},
     {6, 11},  {7, 10},  {9, 13},  {12, 15}, {14, 16}, {0, 1},   {3, 4},
     {5, 10},  {6, 9},   {7, 8},   {11, 15}, {13, 14}, {1, 2},   {3, 7},
     {4, 8},   {6, 12},  {11, 13}, {14, 15}, {1, 3},   {2, 7},   {4, 5},
     {9, 11},  {10, 12}, {13, 14}, {2, 3},   {4, 6},   {5, 7},   {8, 10},
     {3, 4},   {6, 8},   {7, 9},   {10, 12}, {5, 6},   {7, 8},   {9, 10},
     {11, 12}, {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {0, 1},
     {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15},
     {16, 17}, {0, 2},   {1, 3},   {4, 12},  {5, 13},  {6, 8},   {9, 11},
     {14, 16}, {15, 17}, {0, 14},  {1, 16},  {2, 15},  {3, 17},  {0, 6},
     {1, 10},  {2, 9},   {7, 16},  {8, 15},  {11, 17}, {1, 4},   {3, 9},
     {5, 7},   {8, 14},  {10, 12}, {13, 16}, {0, 1},   {2, 5},   {3, 13},
     {4, 14},  {7, 9},   {8, 10},  {12, 15}, {16, 17}, {1, 2},   {3, 5},
     {4, 6},   {11, 13}, {12, 14}, {15, 16}, {4, 8},   {5, 12},  {6, 10},
     {7, 11},  {9, 13},  {1, 4},   {2, 8},   {3, 6},   {5, 7},   {9, 15},
     {10, 12}, {11, 14}, {13, 16}, {2, 4},   {5, 8},   {6, 10},  {7, 11},
     {9, 12},  {13, 15}, {3, 5},   {6, 8},   {7, 10},  {9, 11},  {12, 14},
     {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14}, {0, 12},
     {1, 4},   {2, 8},   {3, 5},   {6, 17},  {7, 11},  {9, 14},  {10, 13},
     {15, 16}, {0, 2},   {1, 7},   {3, 6},   {4, 11},  {5, 17},  {8, 12},
     {10, 15}, {13, 16}, {14, 18}, {3, 10},  {4, 14},  {5, 15},  {6, 13},
     {7, 9},   {11, 17}, {16, 18}, {0, 7},   {1, 10},  {4, 6},   {9, 15},
     {11, 16}, {12, 17}, {13, 14}, {0, 3},   {2, 6},   {5, 7},   {8, 11},
     {12, 16}, {1, 8},   {2, 9},   {3, 4},   {6, 15},  {7, 13},  {10, 11},
     {12, 18}, {1, 3},   {2, 5},   {6, 9},   {7, 12},  {8, 10},  {11, 14},
     {17, 18}, {0, 1},   {2, 3},   {4, 8},   {6, 10},  {9, 12},  {14, 15},
     {16, 17}, {1, 2},   {5, 8},   {6, 7},   {9, 11},  {10, 13}, {14, 16},
     {15, 17}, {3, 6},   {4, 5},   {7, 9},   {8, 10},  {11, 12}, {13, 14},
     {15, 16}, {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 13}, {12, 14},
     {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15},
     {0, 3},   {1, 7},   {2, 5},   {4, 8},   {6, 9},   {10, 13}, {11, 15},
     {12, 18}, {14, 17}, {16, 19}, {0, 14},  {1, 11},  {2, 16},  {3, 17},
     {4, 12},  {5, 19},  {6, 10},  {7, 15},  {8, 18},  {9, 13},  {0, 4},
     {1, 2},   {3, 8},   {5, 7},   {11, 16}, {12, 14}, {15, 19}, {17, 18},
     {1, 6},   {2, 12},  {3, 5},   {4, 11},  {7, 17},  {8, 15},  {13, 18},
     {14, 16}, {0, 1},   {2, 6},   {7, 10},  {9, 12},  {13, 17}, {18, 19},
     {1, 6},   {5, 9},   {7, 11},  {8, 12},  {10, 14}, {13, 18}, {3, 5},
     {4, 7},   {8, 10},  {9, 11},  {12, 15}, {14, 16}, {1, 3},   {2, 4},
     {5, 7},   {6, 10},  {9, 13},  {12, 14}, {15, 17}, {16, 18}, {1, 2},
     {3, 4},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {15, 16}, {17, 18},
     {2, 3},   {4, 6},   {5, 8},   {7, 9},   {10, 12}, {11, 14}, {13, 15},
     {16, 17}, {4, 5},   {6, 8},   {7, 10},  {9, 12},  {11, 13}, {14, 15},
     {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16},
     {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13},
     {14, 15}, {16, 17}, {18, 19}, {0, 2},   {1, 3},   {4, 6},   {5, 7},
     {8, 10},  {9, 11},  {12, 14}, {13, 15}, {16, 18}, {17, 19}, {0, 8},
     {1, 9},   {2, 10},  {3, 11},  {4, 12},  {5, 13},  {6, 14},  {7, 15},
     {0, 4},   {1, 5},   {3, 7},   {6, 20},  {8, 12},  {9, 13},  {10, 14},
     {15, 19}, {2, 6},   {3, 18},  {7, 20},  {2, 16},  {3, 6},   {5, 18},
     {7, 17},  {11, 20}, {0, 2},   {3, 8},   {6, 12},  {7, 10},  {9, 16},
     {11, 15}, {13, 17}, {14, 18}, {19, 20}, {1, 7},   {2, 3},   {4, 9},
     {10, 11}, {13, 16}, {15, 18}, {17, 19}, {1, 4},   {5, 10},  {6, 13},
     {7, 8},   {11, 14}, {12, 16}, {15, 17}, {18, 19}, {1, 2},   {3, 4},
     {5, 6},   {10, 12}, {11, 13}, {14, 16}, {17, 18}, {2, 3},   {4, 5},
     {6, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17}, {6, 7},   {8, 9},
     {15, 16}, {4, 6},   {7, 8},   {9, 12},  {13, 15}, {3, 4},   {5, 7},
     {8, 10},  {9, 11},  {12, 14}, {5, 6},   {7, 8},   {9, 10},  {11, 12},
     {13, 14}, {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11},
     {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {0, 2},   {1, 3},
     {4, 6},   {5, 7},   {8, 12},  {9, 13},  {14, 16}, {15, 17}, {18, 20},
     {19, 21}, {0, 4},   {1, 5},   {2, 6},   {3, 7},   {8, 10},  {9, 12},
     {11, 13}, {14, 18}, {15, 19}, {16, 20}, {17, 21}, {0, 14},  {1, 15},
     {2, 18},  {3, 19},  {4, 16},  {5, 17},  {6, 20},  {7, 21},  {9, 11},
     {10, 12}, {2, 8},   {3, 11},  {6, 9},   {10, 18}, {12, 15}, {13, 19},
     {0, 2},   {1, 10},  {3, 16},  {5, 18},  {6, 14},  {7, 15},  {8, 12},
     {9, 13},  {11, 20}, {19, 21}, {2, 6},   {3, 10},  {4, 8},   {5, 12},
     {9, 16},  {11, 18}, {13, 17}, {15, 19}, {1, 4},   {7, 13},  {8, 14},
     {9, 12},  {17, 20}, {1, 2},   {3, 8},   {4, 6},   {7, 11},  {10, 14},
     {13, 18}, {15, 17}, {19, 20}, {2, 4},   {5, 10},  {7, 9},   {11, 16},
     {12, 14}, {17, 19}, {5, 6},   {7, 8},   {9, 11},  {10, 12}, {13, 14},
     {15, 16}, {3, 5},   {6, 7},   {8, 10},  {9, 12},  {11, 13}, {14, 15},
     {16, 18}, {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14},
     {15, 16}, {17, 18}, {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},
     {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {0, 2},
     {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},  {12, 14}, {13, 15},
     {16, 18}, {17, 19}, {21, 22}, {0, 4},   {1, 5},   {2, 6},   {3, 7},
     {8, 12},  {9, 13},  {10, 14}, {11, 15}, {17, 21}, {18, 20}, {19, 22},
     {0, 8},   {1, 9},   {2, 10},  {3, 11},  {4, 12},  {5, 13},  {6, 14},
     {7, 15},  {1, 2},   {5, 18},  {7, 19},  {9, 16},  {10, 21}, {12, 20},
     {15, 22}, {5, 9},   {6, 7},   {10, 18}, {11, 21}, {12, 17}, {13, 20},
     {14, 15}, {3, 17},  {6, 16},  {7, 14},  {8, 12},  {15, 19}, {20, 21},
     {3, 4},   {5, 8},   {6, 10},  {9, 12},  {13, 16}, {14, 15}, {17, 18},
     {19, 21}, {0, 5},   {1, 8},   {2, 12},  {3, 9},   {4, 10},  {7, 13},
     {11, 17}, {14, 16}, {18, 20}, {2, 6},   {3, 5},   {4, 8},   {7, 11},
     {10, 12}, {13, 18}, {14, 17}, {15, 20}, {1, 3},   {2, 5},   {6, 9},
     {7, 10},  {11, 13}, {12, 14}, {15, 18}, {16, 17}, {19, 20}, {2, 3},
     {4, 6},   {8, 9},   {11, 12}, {13, 14}, {15, 16}, {17, 19}, {3, 4},
     {5, 6},   {7, 8},   {9, 10},  {12, 13}, {14, 15}, {17, 18}, {4, 5},
     {6, 7},   {8, 9},   {10, 11}, {16, 17}, {0, 20},  {1, 12},  {2, 16},
     {3, 23},  {4, 6},   {5, 10},  {7, 21},  {8, 14},  {9, 15},  {11, 22},
     {13, 18}, {17, 19}, {0, 3},   {1, 11},  {2, 7},   {4, 17},  {5, 13},
     {6, 19},  {8, 9},   {10, 18}, {12, 22}, {14, 15}, {16, 21}, {20, 23},
     {0, 1},   {2, 4},   {3, 12},  {5, 8},   {6, 9},   {7, 10},  {11, 20},
     {13, 16}, {14, 17}, {15, 18}, {19, 21}, {22, 23}, {2, 5},   {4, 8},
     {6, 11},  {7, 14},  {9, 16},  {12, 17}, {15, 19}, {18, 21}, {1, 8},
     {3, 14},  {4, 7},   {9, 20},  {10, 12}, {11, 13}, {15, 22}, {16, 19},
     {0, 7},   {1, 5},   {3, 4},   {6, 11},  {8, 15},  {9, 14},  {10, 13},
     {12, 17}, {16, 23}, {18, 22}, {19, 20}, {0, 2},   {1, 6},   {4, 7},
     {5, 9},   {8, 10},  {13, 15}, {14, 18}, {16, 19}, {17, 22}, {21, 23},
     {2, 3},   {4, 5},   {6, 8},   {7, 9},   {10, 11}, {12, 13}, {14, 16},
     {15, 17}, {18, 19}, {20, 21}, {1, 2},   {3, 6},   {4, 10},  {7, 8},
     {9, 11},  {12, 14}, {13, 19}, {15, 16}, {17, 20}, {21, 22}, {2, 3},
     {5, 10},  {6, 7},   {8, 9},   {13, 18}, {14, 15}, {16, 17}, {20, 21},
     {3, 4},   {5, 7},   {10, 12}, {11, 13}, {16, 18}, {19, 20}, {4, 6},
     {8, 10},  {9, 12},  {11, 14}, {13, 15}, {17, 19}, {5, 6},   {7, 8},
     {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {0, 1},   {2, 3},
     {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17},
     {18, 19}, {20, 21}, {22, 23}, {0, 2},   {1, 3},   {4, 6},   {5, 7},
     {8, 10},  {9, 11},  {12, 14}, {13, 15}, {16, 18}, {17, 19}, {21, 22},
     {23, 24}, {0, 4},   {1, 5},   {2, 6},   {3, 7},   {8, 12},  {9, 13},
     {10, 14}, {11, 15}, {18, 21}, {20, 23}, {22, 24}, {0, 8},   {1, 9},
     {2, 10},  {3, 11},  {4, 12},  {5, 13},  {6, 14},  {7, 15},  {16, 20},
     {17, 22}, {19, 24}, {21, 23}, {1, 18},  {3, 21},  {5, 23},  {6, 19},
     {11, 14}, {15, 24}, {1, 16},  {3, 17},  {6, 9},   {7, 11},  {13, 19},
     {14, 23}, {0, 1},   {2, 16},  {3, 8},   {7, 20},  {10, 13}, {11, 22},
     {15, 23}, {1, 2},   {5, 10},  {7, 18},  {11, 21}, {15, 20}, {19, 22},
     {4, 7},   {5, 6},   {9, 18},  {10, 17}, {11, 12}, {13, 21}, {14, 15},
     {19, 20}, {22, 23}, {3, 4},   {7, 8},   {9, 10},  {11, 16}, {12, 17},
     {13, 18}, {19, 21}, {20, 22}, {1, 3},   {2, 4},   {5, 11},  {6, 16},
     {7, 9},   {8, 10},  {12, 13}, {14, 19}, {15, 18}, {2, 3},   {5, 7},
     {6, 9},   {8, 11},  {10, 16}, {12, 14}, {15, 17}, {3, 5},   {4, 6},
     {7, 8},   {9, 11},  {10, 12}, {13, 14}, {15, 16}, {17, 18}, {4, 7},
     {6, 8},   {9, 10},  {11, 12}, {13, 15}, {14, 16}, {17, 19}, {18, 21},
     {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17},
     {18, 19}, {20, 21}, {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},
     {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23},
     {24, 25}, {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},
     {14, 16}, {15, 17}, {18, 20}, {19, 21}, {22, 24}, {23, 25}, {0, 4},
     {1, 6},   {2, 5},   {3, 7},   {8, 14},  {9, 16},  {10, 15}, {11, 17},
     {18, 22}, {19, 24}, {20, 23}, {21, 25}, {0, 18},  {1, 19},  {2, 20},
     {3, 21},  {4, 22},  {5, 23},  {6, 24},  {7, 25},  {9, 12},  {13, 16},
     {3, 11},  {8, 9},   {10, 13}, {12, 15}, {14, 22}, {16, 17}, {0, 8},
     {1, 9},   {2, 14},  {6, 12},  {7, 15},  {10, 18}, {11, 23}, {13, 19},
     {16, 24}, {17, 25}, {1, 2},   {3, 18},  {4, 8},   {7, 22},  {17, 21},
     {23, 24}, {3, 14},  {4, 10},  {5, 18},  {7, 20},  {8, 13},  {11, 22},
     {12, 17}, {15, 21}, {1, 4},   {5, 6},   {7, 9},   {8, 10},  {15, 17},
     {16, 18}, {19, 20}, {21, 24}, {2, 5},   {3, 10},  {6, 14},  {9, 13},
     {11, 19}, {12, 16}, {15, 22}, {20, 23}, {2, 8},   {5, 7},   {6, 9},
     {11, 12}, {13, 14}, {16, 19}, {17, 23}, {18, 20}, {2, 4},   {3, 5},
     {6, 11},  {7, 10},  {9, 16},  {12, 13}, {14, 19}, {15, 18}, {20, 22},
     {21, 23}, {3, 4},   {5, 8},   {6, 7},   {9, 11},  {10, 12}, {13, 15},
     {14, 16}, {17, 20}, {18, 19}, {21, 22}, {5, 6},   {7, 8},   {9, 10},
     {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {4, 5},   {6, 7},
     {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21},
     {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 14},
     {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {0, 2},
     {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},  {12, 13}, {15, 17},
     {16, 18}, {19, 21}, {20, 22}, {23, 25}, {24, 26}, {0, 23},  {1, 24},
     {2, 25},  {3, 26},  {4, 8},   {5, 9},   {6, 10},  {7, 11},  {13, 14},
     {15, 19}, {16, 20}, {17, 21}, {18, 22}, {0, 4},   {1, 6},   {2, 19},
     {3, 20},  {5, 13},  {9, 21},  {11, 14}, {12, 16}, {17, 23}, {18, 24},
     {22, 26}, {5, 17},  {6, 16},  {7, 22},  {9, 25},  {10, 24}, {12, 15},
     {13, 20}, {14, 26}, {1, 12},  {4, 15},  {7, 23},  {10, 19}, {11, 16},
     {13, 18}, {20, 24}, {22, 25}, {0, 1},   {6, 12},  {8, 11},  {9, 15},
     {10, 17}, {14, 24}, {16, 21}, {18, 19}, {1, 4},   {2, 8},   {3, 11},
     {12, 15}, {14, 20}, {16, 22}, {21, 25}, {2, 5},   {3, 17},  {8, 13},
     {11, 23}, {21, 22}, {24, 25}, {1, 2},   {3, 10},  {5, 6},   {7, 13},
     {11, 15}, {14, 21}, {18, 23}, {20, 22}, {4, 5},   {6, 9},   {7, 8},
     {13, 17}, {14, 16}, {19, 23}, {22, 24}, {2, 4},   {3, 6},   {5, 7},
     {8, 12},  {9, 10},  {11, 13}, {14, 18}, {15, 17}, {16, 19}, {21, 23},
     {3, 5},   {6, 8},   {7, 9},   {10, 12}, {11, 14}, {13, 16}, {15, 18},
     {17, 19}, {20, 21}, {22, 23}, {5, 6},   {8, 11},  {9, 10},  {12, 14},
     {13, 15}, {17, 18}, {19, 21}, {4, 5},   {6, 7},   {8, 9},   {10, 11},
     {12, 13}, {14, 15}, {16, 17}, {18, 20}, {21, 22}, {3, 4},   {5, 6},
     {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20},
     {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13},
     {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27},
     {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},  {12, 14},
     {13, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 26}, {25, 27},
     {0, 4},   {1, 5},   {2, 6},   {3, 7},   {8, 12},  {9, 13},  {14, 18},
     {15, 19}, {20, 24}, {21, 25}, {22, 26}, {23, 27}, {0, 20},  {1, 21},
     {2, 22},  {3, 23},  {4, 24},  {5, 25},  {6, 26},  {7, 27},  {9, 17},
     {10, 18}, {11, 15}, {12, 16}, {1, 2},   {4, 20},  {5, 6},   {7, 23},
     {8, 12},  {9, 16},  {10, 14}, {11, 18}, {13, 17}, {15, 19}, {21, 22},
     {25, 26}, {0, 8},   {1, 9},   {2, 12},  {3, 5},   {4, 10},  {6, 16},
     {7, 13},  {11, 21}, {14, 20}, {15, 25}, {17, 23}, {18, 26}, {19, 27},
     {22, 24}, {2, 4},   {3, 7},   {5, 17},  {8, 14},  {9, 11},  {10, 22},
     {13, 19}, {16, 18}, {20, 24}, {23, 25}, {1, 8},   {3, 9},   {5, 11},
     {6, 10},  {7, 15},  {12, 20}, {16, 22}, {17, 21}, {18, 24}, {19, 26},
     {1, 2},   {4, 6},   {5, 9},   {10, 16}, {11, 17}, {12, 14}, {13, 15},
     {18, 22}, {21, 23}, {25, 26}, {4, 8},   {6, 12},  {7, 11},  {10, 14},
     {13, 17}, {15, 21}, {16, 20}, {19, 23}, {2, 4},   {6, 8},   {7, 16},
     {9, 14},  {10, 12}, {11, 20}, {13, 18}, {15, 17}, {19, 21}, {23, 25},
     {3, 10},  {5, 12},  {7, 9},   {11, 13}, {14, 16}, {15, 22}, {17, 24},
     {18, 20}, {3, 6},   {5, 8},   {7, 10},  {9, 12},  {11, 14}, {13, 16},
     {15, 18}, {17, 20}, {19, 22}, {21, 24}, {3, 4},   {5, 6},   {7, 8},
     {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22},
     {23, 24}, {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11},
     {12, 13}, {14, 15}, {16, 28}, {17, 26}, {18, 25}, {19, 23}, {21, 27},
     {22, 24}, {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},
     {12, 14}, {13, 15}, {17, 22}, {18, 19}, {20, 27}, {23, 25}, {24, 26},
     {0, 4},   {1, 5},   {2, 6},   {3, 7},   {8, 12},  {9, 13},  {10, 14},
     {11, 15}, {16, 20}, {17, 18}, {19, 22}, {23, 24}, {25, 26}, {27, 28},
     {0, 8},   {1, 9},   {2, 10},  {3, 11},  {4, 12},  {5, 13},  {6, 14},
     {7, 15},  {16, 18}, {20, 22}, {21, 25}, {24, 27}, {26, 28}, {1, 8},
     {2, 24},  {4, 19},  {5, 20},  {6, 21},  {7, 27},  {9, 18},  {10, 23},
     {11, 26}, {13, 22}, {14, 25}, {15, 28}, {16, 17}, {0, 6},   {2, 4},
     {3, 24},  {5, 10},  {12, 19}, {13, 18}, {14, 21}, {15, 25}, {20, 23},
     {26, 27}, {0, 16},  {1, 6},   {3, 12},  {4, 8},   {5, 17},  {7, 24},
     {14, 20}, {15, 26}, {18, 21}, {19, 23}, {25, 27}, {1, 5},   {2, 16},
     {3, 10},  {6, 9},   {7, 18},  {8, 17},  {11, 19}, {13, 14}, {15, 22},
     {21, 23}, {25, 26}, {1, 2},   {3, 5},   {4, 8},   {6, 16},  {7, 11},
     {9, 17},  {10, 12}, {14, 20}, {15, 18}, {19, 24}, {22, 27}, {4, 6},
     {9, 16},  {10, 13}, {11, 19}, {12, 14}, {20, 21}, {22, 26}, {23, 24},
     {2, 4},   {3, 6},   {7, 16},  {8, 9},   {11, 17}, {15, 19}, {18, 23},
     {24, 25}, {3, 4},   {5, 9},   {7, 10},  {11, 13}, {12, 16}, {14, 17},
     {15, 20}, {19, 21}, {22, 24}, {5, 8},   {6, 7},   {9, 12},  {10, 11},
     {13, 14}, {15, 16}, {17, 20}, {18, 19}, {21, 23}, {24, 25}, {5, 6},
     {7, 8},   {9, 10},  {11, 12}, {13, 15}, {14, 16}, {17, 18}, {19, 20},
     {21, 22}, {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15},
     {16, 17}, {18, 19}, {20, 21}, {22, 23}, {0, 1},   {2, 3},   {4, 5},
     {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19},
     {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {0, 2},   {1, 3},
     {4, 6},   {5, 7},   {8, 10},  {9, 11},  {13, 15}, {14, 16}, {18, 20},
     {19, 21}, {22, 24}, {23, 25}, {26, 28}, {27, 29}, {0, 4},   {1, 5},
     {2, 6},   {3, 7},   {8, 14},  {9, 17},  {10, 16}, {12, 20}, {13, 19},
     {15, 21}, {22, 26}, {23, 27}, {24, 28}, {25, 29}, {0, 8},   {1, 9},
     {2, 14},  {3, 17},  {4, 10},  {5, 11},  {6, 16},  {12, 26}, {13, 23},
     {15, 27}, {18, 24}, {19, 25}, {20, 28}, {21, 29}, {1, 13},  {2, 12},
     {3, 15},  {4, 18},  {5, 19},  {6, 20},  {7, 21},  {8, 22},  {9, 23},
     {10, 24}, {11, 25}, {14, 26}, {16, 28}, {17, 27}, {0, 4},   {2, 8},
     {3, 13},  {5, 9},   {6, 22},  {7, 23},  {10, 12}, {11, 15}, {14, 18},
     {16, 26}, {17, 19}, {20, 24}, {21, 27}, {25, 29}, {0, 2},   {1, 14},
     {3, 5},   {4, 8},   {9, 13},  {11, 17}, {12, 18}, {15, 28}, {16, 20},
     {21, 25}, {24, 26}, {27, 29}, {2, 4},   {5, 9},   {6, 14},  {7, 13},
     {8, 10},  {15, 23}, {16, 22}, {19, 21}, {20, 24}, {25, 27}, {6, 8},
     {7, 11},  {10, 14}, {12, 16}, {13, 17}, {15, 19}, {18, 22}, {21, 23},
     {4, 6},   {7, 9},   {8, 10},  {11, 13}, {12, 14}, {15, 17}, {16, 18},
     {19, 21}, {20, 22}, {23, 25}, {1, 8},   {3, 18},  {5, 20},  {7, 22},
     {9, 24},  {10, 12}, {11, 26}, {13, 15}, {14, 16}, {17, 19}, {21, 28},
     {1, 2},   {3, 10},  {5, 12},  {7, 14},  {9, 16},  {11, 18}, {13, 20},
     {15, 22}, {17, 24}, {19, 26}, {27, 28}, {2, 4},   {3, 6},   {5, 8},
     {7, 10},  {9, 12},  {11, 14}, {13, 16}, {15, 18}, {17, 20}, {19, 22},
     {21, 24}, {23, 26}, {25, 27}, {3, 4},   {5, 6},   {7, 8},   {9, 10},
     {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24},
     {25, 26}, {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11},
     {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25},
     {26, 27}, {28, 29}, {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},
     {9, 11},  {12, 14}, {13, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23},
     {24, 26}, {25, 27}, {28, 30}, {0, 4},   {1, 5},   {2, 6},   {3, 7},
     {8, 12},  {9, 13},  {10, 14}, {11, 15}, {16, 20}, {17, 21}, {18, 22},
     {19, 23}, {24, 28}, {25, 29}, {26, 30}, {0, 8},   {1, 9},   {2, 10},
     {3, 11},  {4, 12},  {5, 13},  {6, 14},  {7, 15},  {16, 24}, {17, 25},
     {18, 26}, {19, 27}, {20, 28}, {21, 29}, {22, 30}, {0, 16},  {1, 8},
     {2, 4},   {3, 12},  {5, 10},  {6, 9},   {7, 14},  {11, 13}, {17, 24},
     {18, 20}, {19, 28}, {21, 26}, {22, 25}, {23, 30}, {27, 29}, {1, 2},
     {3, 5},   {4, 8},   {6, 22},  {7, 11},  {9, 25},  {10, 12}, {13, 14},
     {17, 18}, {19, 21}, {20, 24}, {23, 27}, {26, 28}, {29, 30}, {1, 17},
     {2, 18},  {3, 19},  {4, 20},  {5, 10},  {7, 23},  {8, 24},  {11, 27},
     {12, 28}, {13, 29}, {14, 30}, {21, 26}, {3, 17},  {4, 16},  {5, 21},
     {6, 18},  {7, 9},   {8, 20},  {10, 26}, {11, 23}, {13, 25}, {14, 28},
     {15, 27}, {22, 24}, {1, 4},   {3, 8},   {5, 16},  {7, 17},  {9, 21},
     {10, 22}, {11, 19}, {12, 20}, {14, 24}, {15, 26}, {23, 28}, {27, 30},
     {2, 5},   {7, 8},   {9, 18},  {11, 17}, {12, 16}, {13, 22}, {14, 20},
     {15, 19}, {23, 24}, {26, 29}, {2, 4},   {6, 12},  {9, 16},  {10, 11},
     {13, 17}, {14, 18}, {15, 22}, {19, 25}, {20, 21}, {27, 29}, {5, 6},
     {8, 12},  {9, 10},  {11, 13}, {14, 16}, {15, 17}, {18, 20}, {19, 23},
     {21, 22}, {25, 26}, {3, 5},   {6, 7},   {8, 9},   {10, 12}, {11, 14},
     {13, 16}, {15, 18}, {17, 20}, {19, 21}, {22, 23}, {24, 25}, {26, 28},
     {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16},
     {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28}, {0, 1},
     {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15},
     {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29},
     {30, 31}, {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},
     {12, 14}, {13, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 26},
     {25, 27}, {28, 30}, {29, 31}, {0, 4},   {1, 5},   {2, 6},   {3, 7},
     {8, 12},  {9, 13},  {10, 14}, {11, 15}, {16, 20}, {17, 21}, {18, 22},
     {19, 23}, {24, 28}, {25, 29}, {26, 30}, {27, 31}, {0, 8},   {1, 9},
     {2, 10},  {3, 11},  {4, 12},  {5, 13},  {6, 14},  {7, 15},  {16, 24},
     {17, 25}, {18, 26}, {19, 27}, {20, 28}, {21, 29}, {22, 30}, {23, 31},
     {0, 16},  {1, 8},   {2, 4},   {3, 12},  {5, 10},  {6, 9},   {7, 14},
     {11, 13}, {15, 31}, {17, 24}, {18, 20}, {19, 28}, {21, 26}, {22, 25},
     {23, 30}, {27, 29}, {1, 2},   {3, 5},   {4, 8},   {6, 22},  {7, 11},
     {9, 25},  {10, 12}, {13, 14}, {17, 18}, {19, 21}, {20, 24}, {23, 27},
     {26, 28}, {29, 30}, {1, 17},  {2, 18},  {3, 19},  {4, 20},  {5, 10},
     {7, 23},  {8, 24},  {11, 27}, {12, 28}, {13, 29}, {14, 30}, {21, 26},
     {3, 17},  {4, 16},  {5, 21},  {6, 18},  {7, 9},   {8, 20},  {10, 26},
     {11, 23}, {13, 25}, {14, 28}, {15, 27}, {22, 24}, {1, 4},   {3, 8},
     {5, 16},  {7, 17},  {9, 21},  {10, 22}, {11, 19}, {12, 20}, {14, 24},
     {15, 26}, {23, 28}, {27, 30}, {2, 5},   {7, 8},   {9, 18},  {11, 17},
     {12, 16}, {13, 22}, {14, 20}, {15, 19}, {23, 24}, {26, 29}, {2, 4},
     {6, 12},  {9, 16},  {10, 11}, {13, 17}, {14, 18}, {15, 22}, {19, 25},
     {20, 21}, {27, 29}, {5, 6},   {8, 12},  {9, 10},  {11, 13}, {14, 16},
     {15, 17}, {18, 20}, {19, 23}, {21, 22}, {25, 26}, {3, 5},   {6, 7},
     {8, 9},   {10, 12}, {11, 14}, {13, 16}, {15, 18}, {17, 20}, {19, 21},
     {22, 23}, {24, 25}, {26, 28}, {3, 4},   {5, 6},   {7, 8},   {9, 10},
     {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24},
     {25, 26}, {27, 28}, {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},
     {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23},
     {24, 25}, {26, 27}, {28, 29}, {30, 31}, {0, 2},   {1, 3},   {4, 6},
     {5, 7},   {8, 10},  {9, 11},  {12, 14}, {13, 15}, {16, 18}, {17, 19},
     {20, 22}, {21, 23}, {24, 26}, {25, 27}, {28, 30}, {29, 31}, {0, 4},
     {1, 5},   {2, 6},   {3, 7},   {8, 12},  {9, 13},  {10, 14}, {11, 15},
     {16, 20}, {17, 21}, {18, 22}, {19, 23}, {24, 28}, {25, 29}, {26, 30},
     {27, 31}, {0, 8},   {1, 9},   {2, 10},  {3, 11},  {4, 12},  {5, 13},
     {6, 14},  {7, 15},  {16, 24}, {17, 25}, {18, 26}, {19, 27}, {20, 28},
     {21, 29}, {22, 30}, {23, 31}, {0, 16},  {1, 17},  {2, 18},  {3, 19},
     {4, 20},  {5, 21},  {6, 22},  {7, 23},  {8, 24},  {9, 25},  {10, 26},
     {11, 27}, {12, 28}, {13, 29}, {14, 30}, {15, 31}, {1, 2},   {3, 12},
     {4, 8},   {5, 10},  {6, 9},   {7, 11},  {13, 14}, {15, 32}, {17, 18},
     {19, 28}, {20, 24}, {21, 26}, {22, 25}, {23, 27}, {29, 30}, {3, 17},
     {4, 16},  {5, 20},  {7, 13},  {10, 22}, {11, 29}, {12, 21}, {14, 23},
     {15, 19}, {18, 24}, {25, 28}, {27, 30}, {3, 5},   {7, 18},  {8, 16},
     {9, 20},  {10, 17}, {12, 15}, {13, 14}, {19, 26}, {21, 22}, {23, 29},
     {28, 32}, {1, 8},   {2, 16},  {5, 10},  {6, 12},  {11, 19}, {13, 24},
     {14, 25}, {15, 20}, {17, 21}, {26, 28}, {27, 32}, {0, 6},   {2, 8},
     {7, 10},  {9, 16},  {11, 18}, {12, 15}, {20, 22}, {24, 26}, {27, 28},
     {30, 32}, {5, 8},   {6, 9},   {11, 17}, {12, 16}, {13, 15}, {14, 20},
     {18, 21}, {19, 22}, {23, 27}, {28, 29}, {31, 32}, {3, 6},   {7, 12},
     {8, 9},   {10, 16}, {11, 13}, {14, 17}, {15, 18}, {19, 24}, {20, 21},
     {22, 25}, {23, 26}, {27, 28}, {29, 30}, {3, 4},   {6, 7},   {9, 11},
     {10, 12}, {13, 14}, {15, 16}, {17, 20}, {18, 19}, {21, 22}, {23, 24},
     {25, 26}, {1, 3},   {2, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12},
     {13, 15}, {14, 16}, {17, 18}, {19, 20}, {21, 23}, {22, 24}, {26, 27},
     {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15},
     {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {0, 33},  {1, 2},
     {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16},
     {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30},
     {31, 32}, {1, 3},   {2, 4},   {5, 7},   {6, 8},   {9, 11},  {10, 12},
     {13, 15}, {14, 16}, {17, 19}, {18, 20}, {21, 23}, {22, 24}, {25, 27},
     {26, 28}, {29, 31}, {30, 32}, {1, 5},   {2, 6},   {3, 7},   {4, 8},
     {9, 13},  {10, 14}, {11, 15}, {12, 16}, {17, 21}, {18, 22}, {19, 23},
     {20, 24}, {25, 29}, {26, 30}, {27, 31}, {28, 32}, {1, 9},   {2, 10},
     {3, 11},  {4, 12},  {5, 13},  {6, 14},  {7, 15},  {8, 16},  {17, 25},
     {18, 26}, {19, 27}, {20, 28}, {21, 29}, {22, 30}, {23, 31}, {24, 32},
     {1, 17},  {2, 18},  {3, 19},  {4, 20},  {5, 21},  {6, 22},  {7, 23},
     {8, 24},  {9, 25},  {10, 26}, {11, 27}, {12, 28}, {13, 29}, {14, 30},
     {15, 31}, {16, 32}, {0, 4},   {2, 3},   {5, 17},  {6, 11},  {7, 10},
     {8, 12},  {14, 15}, {16, 28}, {18, 19}, {21, 25}, {22, 27}, {23, 26},
     {29, 33}, {30, 31}, {0, 7},   {2, 9},   {4, 13},  {8, 14},  {19, 25},
     {20, 29}, {24, 31}, {26, 33}, {0, 9},   {4, 18},  {7, 21},  {8, 19},
     {10, 20}, {12, 26}, {13, 23}, {14, 25}, {15, 29}, {24, 33}, {0, 5},
     {3, 7},   {6, 10},  {9, 17},  {11, 20}, {12, 15}, {13, 22}, {16, 24},
     {18, 21}, {23, 27}, {26, 30}, {28, 33}, {0, 1},   {3, 5},   {4, 6},
     {7, 17},  {10, 13}, {11, 18}, {15, 22}, {16, 26}, {20, 23}, {27, 29},
     {28, 30}, {32, 33}, {4, 9},   {6, 11},  {8, 10},  {12, 15}, {13, 19},
     {14, 20}, {18, 21}, {22, 27}, {23, 25}, {24, 29}, {2, 4},   {5, 9},
     {6, 7},   {11, 17}, {12, 18}, {13, 14}, {15, 21}, {16, 22}, {19, 20},
     {24, 28}, {26, 27}, {29, 31}, {1, 2},   {3, 4},   {7, 8},   {10, 17},
     {12, 13}, {14, 18}, {15, 19}, {16, 23}, {20, 21}, {25, 26}, {29, 30},
     {31, 32}, {2, 3},   {4, 5},   {7, 9},   {8, 11},  {10, 12}, {13, 17},
     {14, 15}, {16, 20}, {18, 19}, {21, 23}, {22, 25}, {24, 26}, {28, 29},
     {30, 31}, {6, 7},   {8, 9},   {11, 12}, {13, 14}, {16, 17}, {19, 20},
     {21, 22}, {24, 25}, {26, 27}, {5, 6},   {7, 8},   {10, 11}, {12, 13},
     {15, 16}, {17, 18}, {20, 21}, {22, 23}, {25, 26}, {27, 28}, {9, 10},
     {14, 15}, {16, 17}, {18, 19}, {23, 24}, {0, 1},   {2, 3},   {4, 5},
     {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19},
     {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33},
     {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},  {12, 14},
     {13, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 26}, {25, 27},
     {28, 30}, {29, 31}, {33, 34}, {0, 4},   {1, 5},   {2, 6},   {3, 7},
     {8, 12},  {9, 13},  {10, 14}, {11, 15}, {16, 20}, {17, 21}, {18, 22},
     {19, 23}, {24, 28}, {25, 29}, {26, 30}, {27, 31}, {32, 33}, {0, 8},
     {1, 9},   {2, 10},  {3, 11},  {4, 12},  {5, 13},  {6, 14},  {7, 15},
     {16, 24}, {17, 25}, {18, 26}, {19, 27}, {20, 28}, {21, 29}, {22, 30},
     {23, 31}, {0, 16},  {1, 17},  {2, 18},  {3, 19},  {4, 20},  {5, 21},
     {6, 22},  {7, 23},  {8, 24},  {9, 25},  {10, 26}, {11, 27}, {12, 28},
     {13, 29}, {14, 30}, {15, 31}, {0, 32},  {1, 2},   {3, 12},  {4, 8},
     {5, 10},  {6, 9},   {7, 11},  {13, 14}, {17, 18}, {19, 28}, {20, 24},
     {21, 26}, {22, 25}, {23, 27}, {29, 30}, {31, 34}, {5, 6},   {9, 19},
     {14, 28}, {15, 31}, {16, 32}, {17, 33}, {18, 24}, {21, 22}, {1, 17},
     {3, 16},  {9, 21},  {10, 32}, {13, 33}, {14, 22}, {15, 20}, {19, 26},
     {30, 31}, {1, 3},   {2, 15},  {7, 13},  {8, 17},  {10, 16}, {11, 33},
     {20, 32}, {23, 30}, {3, 4},   {5, 16},  {6, 17},  {7, 15},  {11, 19},
     {12, 20}, {13, 24}, {23, 29}, {25, 32}, {26, 33}, {1, 3},   {4, 8},
     {5, 10},  {6, 7},   {9, 12},  {13, 15}, {14, 25}, {16, 18}, {19, 24},
     {20, 21}, {28, 32}, {29, 33}, {2, 5},   {10, 16}, {11, 20}, {12, 14},
     {17, 18}, {21, 23}, {22, 25}, {26, 28}, {27, 33}, {30, 32}, {2, 4},
     {5, 8},   {9, 16},  {11, 17}, {12, 13}, {14, 15}, {18, 20}, {19, 26},
     {21, 22}, {23, 25}, {24, 28}, {27, 30}, {31, 33}, {2, 3},   {4, 5},
     {6, 9},   {7, 16},  {8, 10},  {11, 12}, {13, 18}, {14, 17}, {15, 20},
     {19, 21}, {22, 24}, {23, 26}, {25, 28}, {27, 29}, {31, 32}, {6, 8},
     {7, 9},   {10, 11}, {12, 14}, {13, 16}, {15, 19}, {17, 18}, {20, 21},
     {22, 23}, {24, 26}, {25, 27}, {28, 29}, {30, 31}, {5, 6},   {7, 10},
     {9, 11},  {12, 13}, {14, 16}, {15, 17}, {18, 19}, {20, 22}, {21, 23},
     {24, 25}, {26, 27}, {29, 30}, {7, 8},   {9, 10},  {11, 12}, {13, 14},
     {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28},
     {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13},
     {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27},
     {28, 29}, {30, 31}, {32, 33}, {34, 35}, {0, 34},  {1, 35},  {2, 4},
     {3, 5},   {6, 8},   {7, 9},   {10, 12}, {11, 13}, {14, 16}, {15, 17},
     {18, 20}, {19, 21}, {22, 24}, {23, 25}, {26, 28}, {27, 29}, {30, 32},
     {31, 33}, {2, 6},   {3, 7},   {4, 8},   {5, 9},   {10, 14}, {11, 15},
     {12, 16}, {13, 17}, {18, 22}, {19, 23}, {20, 24}, {21, 25}, {26, 30},
     {27, 31}, {28, 32}, {29, 33}, {2, 10},  {3, 11},  {4, 12},  {5, 13},
     {6, 14},  {7, 15},  {8, 16},  {9, 17},  {18, 26}, {19, 27}, {20, 28},
     {21, 29}, {22, 30}, {23, 31}, {24, 32}, {25, 33}, {2, 18},  {3, 19},
     {4, 20},  {5, 21},  {6, 22},  {7, 23},  {8, 24},  {9, 25},  {10, 26},
     {11, 27}, {12, 28}, {13, 29}, {14, 30}, {15, 31}, {16, 32}, {17, 33},
     {0, 2},   {1, 3},   {4, 10},  {5, 11},  {8, 26},  {9, 27},  {12, 22},
     {13, 23}, {14, 20}, {15, 21}, {24, 30}, {25, 31}, {32, 34}, {33, 35},
     {1, 10},  {2, 12},  {3, 22},  {11, 19}, {13, 32}, {16, 24}, {23, 33},
     {25, 34}, {2, 18},  {3, 12},  {7, 13},  {17, 33}, {22, 28}, {23, 32},
     {3, 8},   {5, 23},  {6, 18},  {7, 11},  {12, 30}, {13, 19}, {16, 22},
     {17, 29}, {24, 28}, {27, 32}, {1, 6},   {4, 7},   {5, 14},  {8, 20},
     {9, 23},  {10, 18}, {11, 13}, {12, 26}, {15, 27}, {17, 25}, {21, 30},
     {22, 24}, {28, 31}, {29, 34}, {2, 4},   {3, 5},   {7, 8},   {9, 15},
     {12, 14}, {20, 26}, {21, 23}, {27, 28}, {30, 32}, {31, 33}, {1, 2},
     {4, 6},   {7, 10},  {8, 18},  {9, 22},  {11, 20}, {13, 26}, {14, 16},
     {15, 24}, {17, 27}, {19, 21}, {25, 28}, {29, 31}, {33, 34}, {2, 4},
     {3, 7},   {5, 8},   {9, 14},  {11, 12}, {13, 18}, {15, 16}, {17, 22},
     {19, 20}, {21, 26}, {23, 24}, {27, 30}, {28, 32}, {31, 33}, {3, 4},
     {5, 11},  {6, 7},   {8, 12},  {9, 13},  {14, 18}, {15, 19}, {16, 20},
     {17, 21}, {22, 26}, {23, 27}, {24, 30}, {28, 29}, {31, 32}, {4, 6},
     {7, 10},  {9, 11},  {12, 15}, {13, 14}, {16, 17}, {18, 19}, {20, 23},
     {21, 22}, {24, 26}, {25, 28}, {29, 31}, {5, 7},   {8, 10},  {12, 13},
     {14, 15}, {16, 18}, {17, 19}, {20, 21}, {22, 23}, {25, 27}, {28, 30},
     {5, 6},   {8, 9},   {10, 11}, {13, 14}, {15, 16}, {17, 18}, {19, 20},
     {21, 22}, {24, 25}, {26, 27}, {29, 30}, {7, 8},   {9, 10},  {11, 12},
     {23, 24}, {25, 26}, {27, 28}, {0, 1},   {2, 3},   {4, 5},   {6, 7},
     {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21},
     {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 35}, {33, 36},
     {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},  {12, 14},
     {13, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 26}, {25, 27},
     {28, 30}, {29, 31}, {32, 34}, {33, 35}, {0, 4},   {1, 5},   {2, 6},
     {3, 7},   {8, 12},  {9, 13},  {10, 14}, {11, 15}, {16, 20}, {17, 21},
     {18, 22}, {19, 23}, {24, 28}, {25, 29}, {26, 30}, {27, 31}, {32, 33},
     {34, 36}, {0, 8},   {1, 9},   {2, 10},  {3, 11},  {4, 12},  {5, 13},
     {6, 14},  {7, 15},  {16, 24}, {17, 25}, {18, 26}, {19, 27}, {20, 28},
     {21, 29}, {22, 30}, {23, 31}, {33, 34}, {35, 36}, {0, 16},  {1, 17},
     {2, 18},  {3, 19},  {4, 20},  {5, 21},  {6, 22},  {7, 23},  {8, 24},
     {9, 25},  {10, 26}, {11, 27}, {12, 28}, {13, 29}, {14, 30}, {15, 31},
     {34, 35}, {0, 32},  {1, 2},   {3, 12},  {4, 8},   {5, 10},  {6, 9},
     {7, 11},  {13, 14}, {17, 18}, {19, 28}, {20, 24}, {21, 26}, {22, 25},
     {23, 27}, {29, 30}, {31, 36}, {1, 33},  {3, 6},   {7, 13},  {12, 31},
     {16, 32}, {18, 35}, {20, 34}, {21, 22}, {23, 29}, {25, 26}, {2, 20},
     {4, 16},  {11, 25}, {12, 32}, {17, 33}, {19, 34}, {21, 31}, {28, 35},
     {3, 12},  {8, 17},  {9, 21},  {10, 32}, {13, 28}, {14, 33}, {15, 35},
     {18, 20}, {25, 31}, {2, 8},   {3, 16},  {5, 18},  {7, 20},  {10, 19},
     {14, 24}, {15, 23}, {22, 33}, {27, 35}, {30, 31}, {32, 34}, {1, 3},
     {5, 16},  {6, 14},  {7, 17},  {9, 10},  {11, 19}, {12, 18}, {13, 22},
     {20, 24}, {21, 32}, {25, 33}, {26, 34}, {27, 30}, {31, 35}, {1, 4},
     {3, 5},   {6, 9},   {10, 21}, {11, 13}, {12, 16}, {14, 18}, {15, 22},
     {17, 20}, {19, 32}, {23, 33}, {24, 28}, {25, 26}, {29, 34}, {2, 4},
     {5, 8},   {7, 16},  {10, 17}, {11, 14}, {13, 18}, {15, 24}, {19, 25},
     {20, 21}, {22, 28}, {23, 27}, {26, 32}, {30, 34}, {3, 4},   {6, 7},
     {8, 12},  {9, 16},  {10, 11}, {13, 17}, {14, 20}, {15, 19}, {18, 21},
     {22, 25}, {23, 29}, {24, 26}, {28, 32}, {30, 33}, {31, 34}, {4, 5},
     {6, 8},   {7, 9},   {10, 12}, {11, 14}, {13, 16}, {15, 17}, {18, 20},
     {19, 22}, {21, 24}, {23, 25}, {26, 28}, {27, 30}, {29, 32}, {31, 33},
     {5, 6},   {7, 10},  {9, 12},  {11, 13}, {14, 16}, {15, 18}, {17, 20},
     {19, 21}, {22, 24}, {23, 26}, {25, 28}, {27, 29}, {30, 32}, {7, 8},
     {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22},
     {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {0, 1},   {2, 3},
     {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17},
     {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31},
     {32, 33}, {34, 35}, {36, 37}, {0, 2},   {1, 3},   {4, 6},   {5, 7},
     {8, 10},  {9, 11},  {12, 14}, {13, 15}, {16, 20}, {17, 21}, {22, 24},
     {23, 25}, {26, 28}, {27, 29}, {30, 32}, {31, 33}, {34, 36}, {35, 37},
     {0, 4},   {1, 5},   {2, 6},   {3, 7},   {8, 12},  {9, 13},  {10, 14},
     {11, 15}, {16, 18}, {19, 21}, {22, 26}, {23, 27}, {24, 28}, {25, 29},
     {30, 34}, {31, 35}, {32, 36}, {33, 37}, {0, 8},   {1, 9},   {2, 10},
     {3, 11},  {4, 12},  {5, 13},  {6, 14},  {7, 15},  {17, 19}, {18, 20},
     {22, 30}, {23, 31}, {24, 32}, {25, 33}, {26, 34}, {27, 35}, {28, 36},
     {29, 37}, {0, 22},  {1, 23},  {2, 24},  {3, 25},  {4, 26},  {5, 27},
     {6, 28},  {7, 29},  {8, 30},  {9, 31},  {10, 32}, {11, 33}, {12, 34},
     {13, 35}, {14, 36}, {15, 37}, {17, 18}, {19, 20}, {1, 2},   {3, 12},
     {4, 8},   {5, 10},  {6, 9},   {7, 11},  {13, 14}, {23, 24}, {25, 34},
     {26, 30}, {27, 32}, {28, 31}, {29, 33}, {35, 36}, {4, 17},  {5, 6},
     {7, 13},  {9, 10},  {11, 18}, {14, 21}, {16, 23}, {19, 26}, {20, 33},
     {24, 30}, {27, 28}, {31, 32}, {3, 19},  {5, 17},  {6, 22},  {8, 16},
     {9, 23},  {14, 28}, {15, 31}, {18, 34}, {20, 32}, {21, 29}, {1, 8},
     {4, 6},   {11, 22}, {12, 14}, {13, 20}, {15, 26}, {17, 24}, {23, 25},
     {29, 36}, {31, 33}, {0, 1},   {2, 11},  {3, 8},   {7, 15},  {10, 12},
     {13, 19}, {18, 24}, {22, 30}, {25, 27}, {26, 35}, {29, 34}, {36, 37},
     {1, 4},   {2, 6},   {9, 13},  {10, 17}, {11, 16}, {12, 18}, {14, 22},
     {15, 23}, {19, 25}, {20, 27}, {21, 26}, {24, 28}, {31, 35}, {33, 36},
     {2, 3},   {5, 11},  {7, 15},  {8, 9},   {12, 17}, {13, 16}, {14, 19},
     {18, 23}, {20, 25}, {21, 24}, {22, 30}, {26, 32}, {28, 29}, {34, 35},
     {2, 4},   {3, 5},   {6, 11},  {7, 12},  {9, 10},  {13, 14}, {15, 17},
     {16, 19}, {18, 21}, {20, 22}, {23, 24}, {25, 30}, {26, 31}, {27, 28},
     {32, 34}, {33, 35}, {3, 4},   {5, 9},   {6, 8},   {7, 13},  {10, 11},
     {12, 16}, {14, 15}, {17, 19}, {18, 20}, {21, 25}, {22, 23}, {24, 30},
     {26, 27}, {28, 32}, {29, 31}, {33, 34}, {4, 6},   {7, 10},  {8, 9},
     {11, 13}, {12, 14}, {15, 18}, {16, 17}, {19, 22}, {20, 21}, {23, 25},
     {24, 26}, {27, 30}, {28, 29}, {31, 33}, {5, 6},   {7, 8},   {9, 10},
     {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24},
     {25, 26}, {27, 28}, {29, 30}, {31, 32}, {6, 7},   {8, 9},   {10, 11},
     {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25},
     {26, 27}, {28, 29}, {30, 31}, {1, 2},   {3, 6},   {4, 5},   {7, 14},
     {8, 9},   {10, 11}, {12, 13}, {15, 38}, {16, 17}, {18, 19}, {20, 21},
     {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35},
     {36, 37}, {0, 1},   {3, 4},   {5, 6},   {7, 12},  {8, 10},  {9, 11},
     {13, 14}, {15, 36}, {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 26},
     {25, 27}, {28, 30}, {29, 31}, {32, 34}, {33, 35}, {37, 38}, {0, 3},
     {1, 4},   {2, 5},   {7, 8},   {9, 13},  {10, 12}, {11, 14}, {15, 32},
     {16, 20}, {17, 21}, {18, 22}, {19, 23}, {24, 28}, {25, 29}, {26, 30},
     {27, 31}, {33, 37}, {34, 36}, {35, 38}, {0, 7},   {1, 10},  {2, 9},
     {3, 8},   {4, 12},  {5, 13},  {6, 11},  {15, 24}, {17, 20}, {19, 22},
     {25, 33}, {26, 34}, {27, 35}, {28, 32}, {29, 37}, {30, 36}, {31, 38},
     {0, 15},  {1, 26},  {2, 25},  {3, 28},  {4, 30},  {5, 29},  {6, 27},
     {7, 24},  {8, 32},  {9, 33},  {10, 34}, {11, 35}, {12, 36}, {13, 37},
     {14, 31}, {1, 2},   {4, 9},   {5, 10},  {6, 8},   {7, 16},  {12, 13},
     {14, 21}, {18, 24}, {23, 31}, {25, 26}, {27, 32}, {29, 34}, {30, 33},
     {36, 37}, {3, 18},  {4, 6},   {5, 25},  {8, 9},   {10, 24}, {13, 34},
     {14, 29}, {15, 16}, {21, 35}, {23, 38}, {27, 30}, {32, 33}, {4, 17},
     {7, 15},  {9, 20},  {10, 16}, {11, 21}, {18, 28}, {19, 27}, {22, 33},
     {23, 29}, {31, 38}, {0, 7},   {1, 4},   {3, 15},  {6, 9},   {10, 18},
     {11, 12}, {13, 22}, {14, 19}, {17, 25}, {20, 24}, {21, 29}, {26, 28},
     {27, 32}, {31, 35}, {33, 37}, {2, 6},   {3, 7},   {5, 14},  {8, 19},
     {9, 16},  {10, 15}, {12, 25}, {13, 26}, {20, 30}, {23, 27}, {24, 34},
     {29, 31}, {32, 36}, {35, 38}, {1, 3},   {2, 15},  {4, 5},   {6, 18},
     {8, 17},  {9, 13},  {11, 23}, {12, 19}, {16, 28}, {20, 26}, {21, 32},
     {22, 30}, {25, 27}, {29, 36}, {33, 34}, {37, 38}, {2, 7},   {4, 10},
     {5, 8},   {6, 9},   {11, 17}, {12, 14}, {13, 20}, {16, 18}, {19, 25},
     {21, 23}, {22, 28}, {24, 26}, {27, 32}, {30, 33}, {31, 34}, {35, 36},
     {2, 3},   {6, 10},  {9, 15},  {11, 12}, {13, 16}, {14, 17}, {18, 20},
     {19, 21}, {22, 24}, {23, 25}, {26, 28}, {27, 29}, {31, 32}, {36, 37},
     {3, 4},   {5, 9},   {8, 15},  {11, 13}, {12, 18}, {14, 16}, {17, 20},
     {19, 22}, {21, 26}, {23, 24}, {25, 28}, {27, 30}, {29, 33}, {34, 36},
     {4, 7},   {5, 6},   {8, 9},   {10, 11}, {12, 14}, {13, 15}, {16, 17},
     {18, 19}, {20, 21}, {22, 23}, {24, 26}, {25, 27}, {28, 31}, {29, 30},
     {32, 33}, {34, 35}, {6, 7},   {8, 10},  {9, 11},  {12, 13}, {14, 15},
     {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 25}, {26, 27}, {28, 29},
     {30, 31}, {32, 34}, {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14},
     {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28},
     {29, 30}, {31, 32}, {33, 34}, {0, 1},   {2, 3},   {4, 5},   {6, 7},
     {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21},
     {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35},
     {36, 37}, {38, 39}, {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},
     {9, 11},  {12, 14}, {13, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23},
     {24, 26}, {25, 27}, {28, 30}, {29, 31}, {32, 34}, {33, 35}, {36, 38},
     {37, 39}, {0, 4},   {1, 5},   {2, 6},   {3, 7},   {8, 12},  {9, 13},
     {10, 14}, {11, 15}, {16, 20}, {17, 21}, {18, 22}, {19, 23}, {24, 28},
     {25, 29}, {26, 30}, {27, 31}, {32, 36}, {33, 37}, {34, 38}, {35, 39},
     {0, 8},   {1, 9},   {2, 10},  {3, 11},  {4, 12},  {5, 13},  {6, 14},
     {7, 15},  {17, 20}, {19, 22}, {24, 32}, {25, 33}, {26, 34}, {27, 35},
     {28, 36}, {29, 37}, {30, 38}, {31, 39}, {0, 24},  {1, 25},  {2, 26},
     {3, 27},  {4, 28},  {5, 29},  {6, 30},  {7, 31},  {8, 32},  {9, 33},
     {10, 34}, {11, 35}, {12, 36}, {13, 37}, {14, 38}, {15, 39}, {1, 2},
     {3, 12},  {5, 10},  {6, 9},   {7, 21},  {8, 16},  {13, 14}, {18, 32},
     {23, 31}, {25, 26}, {27, 36}, {29, 34}, {30, 33}, {37, 38}, {3, 6},
     {4, 18},  {5, 25},  {7, 29},  {9, 12},  {10, 32}, {14, 34}, {15, 23},
     {16, 24}, {21, 35}, {27, 30}, {33, 36}, {3, 17},  {8, 16},  {10, 24},
     {11, 21}, {12, 20}, {15, 29}, {18, 28}, {19, 27}, {22, 36}, {23, 31},
     {0, 8},   {1, 3},   {4, 16},  {6, 12},  {7, 19},  {10, 18}, {11, 13},
     {14, 22}, {17, 25}, {20, 32}, {21, 29}, {23, 35}, {26, 28}, {27, 33},
     {31, 39}, {36, 38}, {2, 6},   {4, 8},   {5, 7},   {9, 19},  {10, 16},
     {12, 24}, {13, 25}, {14, 26}, {15, 27}, {20, 30}, {23, 29}, {31, 35},
     {32, 34}, {33, 37}, {1, 4},   {2, 16},  {3, 5},   {6, 18},  {9, 17},
     {11, 15}, {12, 14}, {13, 19}, {20, 26}, {21, 33}, {22, 30}, {23, 37},
     {24, 28}, {25, 27}, {34, 36}, {35, 38}, {2, 8},   {3, 10},  {5, 9},
     {6, 12},  {7, 13},  {11, 17}, {14, 20}, {15, 21}, {18, 24}, {19, 25},
     {22, 28}, {26, 32}, {27, 33}, {29, 36}, {30, 34}, {31, 37}, {2, 4},
     {6, 10},  {7, 11},  {12, 16}, {13, 17}, {14, 18}, {15, 19}, {20, 24},
     {21, 25}, {22, 26}, {23, 27}, {28, 32}, {29, 33}, {35, 37}, {3, 4},
     {5, 12},  {7, 14},  {9, 16},  {11, 20}, {13, 18}, {15, 22}, {17, 24},
     {19, 28}, {21, 26}, {23, 30}, {25, 32}, {27, 34}, {35, 36}, {4, 8},
     {5, 6},   {7, 10},  {9, 12},  {11, 13}, {14, 16}, {15, 20}, {17, 18},
     {19, 24}, {21, 22}, {23, 25}, {26, 28}, {27, 30}, {29, 32}, {31, 35},
     {33, 34}, {6, 8},   {7, 9},   {10, 12}, {11, 14}, {13, 16}, {15, 17},
     {18, 20}, {19, 21}, {22, 24}, {23, 26}, {25, 28}, {27, 29}, {30, 32},
     {31, 33}, {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16},
     {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30},
     {31, 32}, {33, 34}, {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},
     {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23},
     {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37},
     {38, 39}, {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},
     {12, 14}, {13, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 26},
     {25, 27}, {28, 30}, {29, 31}, {32, 34}, {33, 35}, {36, 38}, {37, 39},
     {0, 4},   {1, 5},   {2, 6},   {3, 7},   {8, 12},  {9, 13},  {10, 14},
     {11, 15}, {16, 20}, {17, 21}, {18, 22}, {19, 23}, {24, 28}, {25, 29},
     {26, 30}, {27, 31}, {32, 36}, {33, 37}, {34, 38}, {35, 39}, {0, 8},
     {1, 9},   {2, 10},  {3, 11},  {4, 12},  {5, 13},  {6, 14},  {7, 15},
     {16, 24}, {17, 25}, {18, 26}, {19, 27}, {20, 28}, {21, 29}, {22, 30},
     {23, 31}, {33, 34}, {36, 40}, {37, 38}, {0, 16},  {1, 17},  {2, 18},
     {3, 19},  {4, 20},  {5, 21},  {6, 22},  {7, 23},  {8, 24},  {9, 25},
     {10, 26}, {11, 27}, {12, 28}, {13, 29}, {14, 30}, {15, 31}, {33, 36},
     {34, 40}, {1, 2},   {3, 12},  {4, 8},   {5, 10},  {6, 9},   {7, 11},
     {13, 14}, {17, 18}, {19, 28}, {20, 24}, {21, 26}, {22, 25}, {23, 27},
     {29, 30}, {32, 33}, {34, 36}, {35, 40}, {1, 4},   {2, 8},   {3, 20},
     {5, 17},  {7, 13},  {9, 10},  {11, 26}, {14, 28}, {16, 32}, {18, 24},
     {19, 39}, {21, 22}, {35, 37}, {38, 40}, {0, 16},  {2, 34},  {3, 36},
     {4, 35},  {6, 17},  {11, 25}, {12, 32}, {15, 39}, {19, 21}, {24, 40},
     {26, 38}, {2, 12},  {4, 16},  {5, 34},  {6, 33},  {8, 24},  {10, 32},
     {15, 23}, {17, 35}, {19, 36}, {22, 26}, {25, 37}, {27, 39}, {28, 40},
     {1, 6},   {3, 5},   {7, 19},  {8, 12},  {10, 22}, {11, 36}, {18, 33},
     {20, 34}, {21, 25}, {28, 37}, {30, 40}, {32, 35}, {1, 4},   {3, 6},
     {8, 16},  {9, 21},  {10, 18}, {11, 19}, {12, 17}, {13, 34}, {14, 33},
     {24, 32}, {27, 37}, {28, 35}, {29, 36}, {30, 38}, {31, 40}, {3, 8},
     {6, 10},  {9, 20},  {13, 21}, {14, 22}, {15, 29}, {17, 24}, {23, 36},
     {25, 34}, {26, 33}, {27, 30}, {28, 32}, {31, 37}, {39, 40}, {2, 8},
     {5, 9},   {10, 16}, {13, 20}, {14, 18}, {15, 19}, {21, 25}, {22, 26},
     {23, 30}, {29, 35}, {33, 34}, {36, 38}, {37, 39}, {2, 4},   {5, 10},
     {7, 13},  {9, 12},  {11, 18}, {14, 17}, {15, 28}, {19, 25}, {20, 24},
     {21, 22}, {23, 33}, {26, 32}, {27, 29}, {30, 34}, {31, 36}, {37, 38},
     {3, 4},   {6, 9},   {7, 14},  {11, 20}, {12, 16}, {13, 17}, {15, 21},
     {18, 24}, {19, 26}, {22, 28}, {23, 27}, {25, 32}, {29, 33}, {30, 35},
     {36, 37}, {6, 8},   {7, 9},   {10, 12}, {11, 16}, {13, 14}, {15, 20},
     {17, 18}, {19, 24}, {21, 22}, {23, 26}, {25, 28}, {27, 30}, {29, 32},
     {31, 35}, {5, 8},   {7, 10},  {9, 12},  {11, 13}, {14, 16}, {15, 17},
     {18, 20}, {19, 21}, {22, 24}, {23, 25}, {26, 28}, {27, 29}, {30, 32},
     {31, 33}, {34, 35}, {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14},
     {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28},
     {29, 30}, {31, 32}, {33, 34}, {35, 36}, {0, 1},   {2, 3},   {4, 5},
     {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19},
     {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33},
     {34, 35}, {36, 37}, {38, 39}, {40, 41}, {0, 2},   {1, 3},   {4, 6},
     {5, 7},   {8, 10},  {9, 11},  {12, 14}, {13, 15}, {16, 24}, {17, 25},
     {18, 22}, {19, 23}, {26, 28}, {27, 29}, {30, 32}, {31, 33}, {34, 36},
     {35, 37}, {38, 40}, {39, 41}, {0, 4},   {1, 5},   {2, 6},   {3, 7},
     {8, 12},  {9, 13},  {10, 14}, {11, 15}, {16, 18}, {17, 20}, {19, 22},
     {21, 24}, {23, 25}, {26, 30}, {27, 31}, {28, 32}, {29, 33}, {34, 38},
     {35, 39}, {36, 40}, {37, 41}, {0, 8},   {1, 9},   {2, 10},  {3, 11},
     {4, 12},  {5, 13},  {6, 14},  {7, 15},  {17, 18}, {19, 21}, {20, 22},
     {23, 24}, {26, 34}, {27, 35}, {28, 36}, {29, 37}, {30, 38}, {31, 39},
     {32, 40}, {33, 41}, {0, 26},  {1, 27},  {2, 28},  {3, 29},  {4, 30},
     {5, 31},  {6, 32},  {7, 33},  {8, 34},  {9, 35},  {10, 36}, {11, 37},
     {12, 38}, {13, 39}, {14, 40}, {15, 41}, {16, 17}, {18, 20}, {21, 23},
     {24, 25}, {0, 16},  {1, 2},   {3, 12},  {4, 8},   {5, 10},  {6, 9},
     {7, 11},  {13, 14}, {17, 19}, {20, 21}, {22, 24}, {25, 41}, {27, 28},
     {29, 38}, {30, 34}, {31, 36}, {32, 35}, {33, 37}, {39, 40}, {4, 16},
     {5, 6},   {7, 13},  {9, 10},  {14, 21}, {15, 24}, {17, 26}, {18, 19},
     {20, 27}, {22, 23}, {25, 37}, {28, 34}, {31, 32}, {35, 36}, {1, 17},
     {2, 16},  {3, 20},  {5, 26},  {8, 19},  {11, 23}, {12, 27}, {14, 29},
     {15, 36}, {18, 30}, {21, 38}, {22, 33}, {24, 40}, {25, 39}, {1, 4},
     {3, 5},   {6, 18},  {7, 26},  {8, 17},  {9, 30},  {10, 19}, {11, 32},
     {14, 20}, {15, 34}, {16, 25}, {21, 27}, {22, 31}, {23, 35}, {24, 33},
     {36, 38}, {37, 40}, {2, 6},   {9, 14},  {11, 28}, {12, 18}, {13, 30},
     {16, 17}, {19, 21}, {20, 22}, {23, 29}, {24, 25}, {27, 32}, {35, 39},
     {2, 8},   {5, 9},   {6, 16},  {7, 20},  {10, 17}, {11, 12}, {13, 22},
     {15, 18}, {19, 28}, {21, 34}, {23, 26}, {24, 31}, {25, 35}, {29, 30},
     {32, 36}, {33, 39}, {4, 8},   {7, 11},  {10, 12}, {13, 14}, {17, 18},
     {23, 24}, {27, 28}, {29, 31}, {30, 34}, {33, 37}, {2, 4},   {6, 8},
     {9, 10},  {11, 16}, {12, 20}, {15, 17}, {18, 22}, {19, 23}, {21, 29},
     {24, 26}, {25, 30}, {31, 32}, {33, 35}, {37, 39}, {3, 6},   {5, 8},
     {7, 9},   {10, 16}, {12, 19}, {13, 15}, {14, 17}, {18, 21}, {20, 23},
     {22, 29}, {24, 27}, {25, 31}, {26, 28}, {32, 34}, {33, 36}, {35, 38},
     {3, 4},   {6, 7},   {8, 11},  {12, 13}, {14, 19}, {15, 20}, {17, 23},
     {18, 24}, {21, 26}, {22, 27}, {28, 29}, {30, 33}, {34, 35}, {37, 38},
     {5, 6},   {7, 8},   {9, 11},  {10, 12}, {13, 15}, {14, 16}, {17, 18},
     {19, 20}, {21, 22}, {23, 24}, {25, 27}, {26, 28}, {29, 31}, {30, 32},
     {33, 34}, {35, 36}, {6, 7},   {9, 10},  {11, 12}, {13, 14}, {15, 16},
     {17, 19}, {18, 20}, {21, 23}, {22, 24}, {25, 26}, {27, 28}, {29, 30},
     {31, 32}, {34, 35}, {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17},
     {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31},
     {32, 33}, {1, 2},   {3, 6},   {4, 5},   {7, 14},  {8, 9},   {10, 11},
     {12, 13}, {15, 42}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25},
     {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39},
     {40, 41}, {0, 1},   {3, 4},   {5, 6},   {7, 12},  {8, 10},  {9, 11},
     {13, 14}, {15, 40}, {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 26},
     {25, 27}, {28, 30}, {29, 31}, {32, 34}, {33, 35}, {36, 38}, {37, 39},
     {41, 42}, {0, 3},   {1, 4},   {2, 5},   {7, 8},   {9, 13},  {10, 12},
     {11, 14}, {15, 36}, {16, 24}, {17, 25}, {18, 26}, {19, 27}, {28, 32},
     {29, 33}, {30, 34}, {31, 35}, {37, 41}, {38, 40}, {39, 42}, {0, 7},
     {1, 10},  {2, 9},   {3, 8},   {4, 12},  {5, 13},  {6, 11},  {15, 28},
     {16, 20}, {17, 21}, {18, 24}, {19, 25}, {22, 26}, {23, 27}, {29, 37},
     {30, 38}, {31, 39}, {32, 36}, {33, 41}, {34, 40}, {35, 42}, {0, 15},
     {1, 30},  {2, 29},  {3, 32},  {4, 34},  {5, 33},  {6, 31},  {7, 28},
     {8, 36},  {9, 37},  {10, 38}, {11, 39}, {12, 40}, {13, 41}, {14, 35},
     {17, 20}, {18, 22}, {21, 25}, {23, 26}, {27, 42}, {0, 16},  {1, 2},
     {3, 7},   {4, 9},   {5, 10},  {6, 8},   {11, 14}, {12, 13}, {17, 18},
     {19, 23}, {20, 24}, {25, 26}, {28, 32}, {29, 30}, {31, 36}, {33, 38},
     {34, 37}, {35, 39}, {40, 41}, {4, 5},   {9, 10},  {12, 14}, {15, 16},
     {18, 20}, {19, 22}, {21, 24}, {23, 25}, {27, 40}, {28, 30}, {33, 34},
     {37, 38}, {2, 16},  {7, 20},  {8, 24},  {11, 21}, {13, 25}, {14, 26},
     {17, 28}, {18, 29}, {19, 31}, {22, 32}, {23, 35}, {1, 17},  {2, 7},
     {3, 18},  {5, 22},  {6, 19},  {8, 16},  {12, 23}, {13, 28}, {14, 29},
     {20, 30}, {21, 37}, {24, 36}, {25, 39}, {26, 41}, {27, 31}, {35, 40},
     {3, 15},  {5, 18},  {6, 17},  {7, 8},   {9, 13},  {10, 16}, {11, 19},
     {14, 20}, {23, 28}, {24, 32}, {25, 37}, {26, 36}, {27, 33}, {29, 34},
     {31, 35}, {39, 42}, {1, 3},   {2, 15},  {4, 11},  {5, 7},   {8, 18},
     {9, 17},  {10, 22}, {12, 27}, {13, 19}, {16, 30}, {21, 33}, {24, 29},
     {25, 31}, {26, 34}, {32, 38}, {35, 37}, {39, 40}, {41, 42}, {2, 3},
     {6, 15},  {7, 8},   {10, 14}, {11, 12}, {13, 27}, {16, 29}, {20, 22},
     {21, 23}, {28, 33}, {30, 32}, {31, 35}, {36, 39}, {40, 41}, {4, 6},
     {5, 15},  {8, 10},  {12, 21}, {13, 17}, {14, 18}, {16, 24}, {19, 27},
     {22, 30}, {25, 28}, {26, 29}, {31, 33}, {36, 37}, {38, 39}, {3, 4},
     {6, 9},   {7, 15},  {11, 13}, {12, 17}, {16, 20}, {19, 21}, {22, 24},
     {23, 27}, {26, 30}, {29, 32}, {34, 38}, {35, 36}, {39, 40}, {4, 5},
     {6, 8},   {9, 15},  {14, 16}, {17, 19}, {18, 20}, {23, 25}, {24, 26},
     {27, 28}, {33, 38}, {34, 35}, {37, 39}, {6, 7},   {10, 15}, {11, 14},
     {12, 16}, {13, 18}, {20, 22}, {21, 23}, {25, 29}, {27, 30}, {28, 32},
     {31, 34}, {36, 38}, {5, 6},   {8, 11},  {12, 15}, {13, 14}, {16, 18},
     {17, 20}, {19, 22}, {21, 24}, {23, 26}, {25, 27}, {28, 29}, {30, 31},
     {32, 33}, {37, 38}, {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17},
     {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 30}, {29, 31},
     {32, 34}, {33, 35}, {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16},
     {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30},
     {31, 32}, {33, 34}, {35, 36}, {0, 1},   {2, 3},   {4, 5},   {6, 7},
     {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21},
     {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35},
     {36, 37}, {38, 39}, {40, 41}, {42, 43}, {0, 2},   {1, 3},   {4, 6},
     {5, 7},   {8, 10},  {9, 11},  {12, 14}, {13, 15}, {16, 18}, {17, 19},
     {20, 22}, {21, 23}, {24, 26}, {25, 27}, {28, 30}, {29, 31}, {32, 34},
     {33, 35}, {36, 38}, {37, 39}, {40, 42}, {41, 43}, {0, 4},   {1, 5},
     {2, 6},   {3, 7},   {8, 12},  {9, 13},  {10, 14}, {11, 15}, {16, 24},
     {17, 25}, {18, 26}, {19, 27}, {28, 32}, {29, 33}, {30, 34}, {31, 35},
     {36, 40}, {37, 41}, {38, 42}, {39, 43}, {0, 8},   {1, 9},   {2, 10},
     {3, 11},  {4, 12},  {5, 13},  {6, 14},  {7, 15},  {16, 20}, {17, 21},
     {18, 24}, {19, 25}, {22, 26}, {23, 27}, {28, 36}, {29, 37}, {30, 38},
     {31, 39}, {32, 40}, {33, 41}, {34, 42}, {35, 43}, {0, 28},  {1, 29},
     {2, 30},  {3, 31},  {4, 32},  {5, 33},  {6, 34},  {7, 35},  {8, 36},
     {9, 37},  {10, 38}, {11, 39}, {12, 40}, {13, 41}, {14, 42}, {15, 43},
     {17, 20}, {18, 22}, {21, 25}, {23, 26}, {0, 16},  {1, 2},   {3, 12},
     {4, 8},   {5, 10},  {6, 9},   {7, 11},  {13, 14}, {17, 18}, {19, 23},
     {20, 24}, {25, 26}, {27, 43}, {29, 30}, {31, 40}, {32, 36}, {33, 38},
     {34, 37}, {35, 39}, {41, 42}, {5, 6},   {9, 10},  {11, 13}, {15, 27},
     {16, 28}, {18, 20}, {19, 22}, {21, 24}, {23, 25}, {30, 32}, {33, 34},
     {37, 38}, {2, 28},  {7, 21},  {8, 20},  {12, 24}, {13, 26}, {14, 25},
     {15, 41}, {17, 30}, {18, 29}, {19, 31}, {22, 36}, {23, 35}, {1, 17},
     {2, 8},   {3, 19},  {4, 18},  {6, 22},  {11, 23}, {12, 28}, {13, 29},
     {14, 30}, {15, 31}, {20, 32}, {21, 37}, {24, 40}, {25, 39}, {26, 42},
     {35, 41}, {3, 17},  {4, 16},  {6, 18},  {7, 19},  {8, 12},  {9, 14},
     {10, 28}, {13, 20}, {15, 33}, {23, 30}, {24, 36}, {25, 37}, {26, 40},
     {27, 39}, {29, 34}, {31, 35}, {1, 4},   {2, 16},  {5, 7},   {6, 8},
     {9, 17},  {10, 22}, {11, 15}, {12, 18}, {14, 19}, {21, 33}, {24, 29},
     {25, 31}, {26, 34}, {27, 41}, {28, 32}, {35, 37}, {36, 38}, {39, 42},
     {2, 4},   {3, 16},  {7, 11},  {8, 12},  {10, 13}, {14, 15}, {20, 22},
     {21, 23}, {27, 40}, {28, 29}, {30, 33}, {31, 35}, {32, 36}, {39, 41},
     {3, 5},   {6, 16},  {10, 12}, {11, 21}, {13, 18}, {14, 17}, {15, 19},
     {22, 32}, {24, 28}, {25, 30}, {26, 29}, {27, 37}, {31, 33}, {38, 40},
     {3, 4},   {5, 9},   {7, 14},  {8, 16},  {11, 17}, {15, 21}, {19, 23},
     {20, 24}, {22, 28}, {26, 32}, {27, 35}, {29, 36}, {34, 38}, {39, 40},
     {4, 6},   {5, 10},  {9, 16},  {13, 20}, {15, 17}, {18, 24}, {19, 25},
     {23, 30}, {26, 28}, {27, 34}, {33, 38}, {37, 39}, {5, 8},   {7, 13},
     {11, 20}, {12, 16}, {14, 18}, {19, 21}, {22, 24}, {23, 32}, {25, 29},
     {27, 31}, {30, 36}, {35, 38}, {5, 6},   {7, 10},  {11, 16}, {13, 14},
     {15, 22}, {17, 24}, {18, 20}, {19, 26}, {21, 28}, {23, 25}, {27, 32},
     {29, 30}, {33, 36}, {37, 38}, {7, 9},   {10, 12}, {11, 13}, {14, 16},
     {15, 18}, {17, 20}, {19, 22}, {21, 24}, {23, 26}, {25, 28}, {27, 29},
     {30, 32}, {31, 33}, {34, 36}, {7, 8},   {9, 10},  {11, 12}, {13, 14},
     {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28},
     {29, 30}, {31, 32}, {33, 34}, {35, 36}, {3, 12},  {4, 8},   {5, 6},
     {7, 11},  {9, 10},  {13, 32}, {14, 35}, {15, 18}, {16, 29}, {17, 28},
     {19, 30}, {20, 24}, {21, 22}, {23, 27}, {25, 26}, {31, 34}, {33, 44},
     {36, 40}, {37, 38}, {39, 43}, {41, 42}, {0, 5},   {1, 7},   {2, 9},
     {3, 4},   {8, 12},  {10, 11}, {13, 37}, {14, 36}, {15, 25}, {16, 21},
     {17, 23}, {18, 26}, {19, 20}, {22, 29}, {24, 30}, {27, 28}, {31, 41},
     {32, 38}, {33, 39}, {34, 42}, {35, 40}, {43, 44}, {0, 1},   {2, 3},
     {4, 5},   {6, 8},   {7, 9},   {13, 33}, {14, 31}, {15, 19}, {16, 17},
     {18, 27}, {20, 21}, {22, 24}, {23, 25}, {26, 30}, {28, 29}, {32, 35},
     {34, 43}, {36, 37}, {38, 44}, {39, 41}, {40, 42}, {0, 2},   {1, 3},
     {4, 10},  {5, 11},  {6, 7},   {8, 9},   {13, 14}, {15, 16}, {17, 19},
     {18, 20}, {21, 27}, {22, 23}, {24, 25}, {26, 28}, {29, 30}, {31, 33},
     {32, 39}, {34, 36}, {35, 41}, {37, 43}, {38, 40}, {42, 44}, {1, 2},
     {3, 12},  {4, 6},   {5, 7},   {8, 10},  {9, 11},  {13, 15}, {14, 31},
     {16, 17}, {18, 22}, {19, 26}, {20, 24}, {21, 23}, {25, 27}, {28, 29},
     {30, 44}, {32, 34}, {33, 38}, {35, 36}, {37, 39}, {40, 42}, {41, 43},
     {0, 13},  {1, 4},   {2, 6},   {3, 19},  {5, 8},   {7, 10},  {14, 32},
     {16, 18}, {17, 22}, {20, 21}, {23, 24}, {25, 28}, {26, 38}, {27, 29},
     {31, 34}, {35, 37}, {36, 39}, {40, 41}, {42, 43}, {1, 14},  {2, 31},
     {3, 33},  {5, 35},  {8, 21},  {9, 25},  {10, 39}, {11, 27}, {12, 38},
     {13, 15}, {18, 32}, {22, 34}, {23, 36}, {28, 41}, {29, 43}, {1, 16},
     {4, 18},  {5, 20},  {6, 22},  {7, 36},  {8, 37},  {12, 26}, {17, 31},
     {19, 33}, {24, 39}, {25, 40}, {27, 42}, {2, 17},  {4, 13},  {5, 15},
     {7, 23},  {8, 19},  {9, 25},  {10, 24}, {11, 27}, {14, 16}, {18, 32},
     {20, 35}, {21, 37}, {22, 34}, {26, 36}, {30, 39}, {40, 43}, {42, 44},
     {1, 4},   {2, 5},   {3, 13},  {6, 14},  {7, 31},  {9, 16},  {12, 15},
     {19, 21}, {23, 26}, {28, 37}, {29, 34}, {30, 33}, {38, 42}, {2, 4},
     {3, 6},   {7, 18},  {9, 14},  {11, 31}, {12, 17}, {13, 20}, {15, 22},
     {16, 23}, {21, 29}, {24, 38}, {25, 30}, {27, 37}, {28, 32}, {33, 41},
     {34, 40}, {42, 43}, {3, 4},   {5, 6},   {7, 13},  {9, 12},  {10, 22},
     {11, 20}, {15, 28}, {16, 21}, {23, 29}, {24, 32}, {25, 35}, {30, 31},
     {37, 38}, {39, 42}, {40, 41}, {43, 44}, {4, 5},   {6, 7},   {8, 15},
     {10, 25}, {11, 16}, {13, 14}, {19, 28}, {20, 21}, {22, 35}, {23, 24},
     {26, 30}, {29, 32}, {31, 36}, {34, 37}, {38, 39}, {42, 43}, {7, 12},
     {8, 13},  {10, 17}, {14, 18}, {15, 19}, {20, 23}, {21, 24}, {22, 26},
     {25, 28}, {27, 34}, {30, 31}, {33, 35}, {36, 37}, {38, 40}, {8, 9},
     {10, 15}, {11, 14}, {12, 13}, {16, 18}, {17, 19}, {22, 25}, {26, 28},
     {27, 29}, {30, 33}, {31, 35}, {32, 34}, {36, 38}, {37, 41}, {6, 8},
     {10, 11}, {14, 15}, {16, 17}, {18, 19}, {20, 22}, {21, 26}, {23, 25},
     {24, 28}, {27, 30}, {29, 33}, {31, 32}, {34, 35}, {39, 41}, {5, 6},
     {9, 10},  {11, 14}, {13, 16}, {15, 17}, {18, 20}, {19, 22}, {21, 23},
     {24, 27}, {25, 26}, {28, 30}, {29, 31}, {32, 34}, {33, 36}, {35, 37},
     {41, 42}, {7, 9},   {10, 12}, {11, 13}, {14, 16}, {15, 18}, {17, 20},
     {19, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33},
     {34, 36}, {35, 38}, {37, 40}, {7, 8},   {9, 10},  {11, 12}, {13, 14},
     {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28},
     {29, 30}, {31, 32}, {33, 34}, {35, 36}, {37, 38}, {39, 40}, {2, 13},
     {3, 12},  {4, 8},   {5, 6},   {7, 11},  {9, 10},  {14, 35}, {15, 18},
     {16, 29}, {17, 28}, {19, 30}, {20, 24}, {21, 22}, {23, 27}, {25, 26},
     {31, 34}, {32, 45}, {33, 44}, {36, 40}, {37, 38}, {39, 43}, {41, 42},
     {0, 5},   {1, 7},   {2, 9},   {3, 4},   {8, 12},  {10, 13}, {14, 36},
     {15, 25}, {16, 21}, {17, 23}, {18, 26}, {19, 20}, {22, 29}, {24, 30},
     {27, 28}, {31, 41}, {32, 37}, {33, 39}, {34, 42}, {35, 40}, {38, 45},
     {43, 44}, {0, 1},   {2, 3},   {4, 5},   {6, 8},   {7, 9},   {10, 11},
     {12, 13}, {14, 31}, {15, 19}, {16, 17}, {18, 27}, {20, 21}, {22, 24},
     {23, 25}, {26, 30}, {28, 29}, {32, 33}, {34, 43}, {35, 38}, {36, 37},
     {39, 41}, {40, 42}, {44, 45}, {0, 2},   {1, 3},   {4, 10},  {5, 11},
     {6, 7},   {8, 9},   {14, 32}, {15, 16}, {17, 19}, {18, 20}, {21, 27},
     {22, 23}, {24, 25}, {26, 28}, {29, 30}, {31, 33}, {34, 36}, {35, 39},
     {37, 43}, {38, 41}, {40, 44}, {42, 45}, {1, 2},   {3, 12},  {4, 6},
     {5, 7},   {8, 10},  {9, 11},  {14, 15}, {16, 17}, {18, 22}, {19, 26},
     {20, 24}, {21, 23}, {25, 27}, {28, 29}, {30, 45}, {31, 32}, {33, 40},
     {34, 35}, {36, 38}, {37, 39}, {41, 43}, {42, 44}, {0, 14},  {1, 4},
     {2, 6},   {3, 19},  {5, 8},   {7, 10},  {9, 13},  {16, 18}, {17, 22},
     {20, 21}, {23, 24}, {25, 28}, {26, 40}, {27, 29}, {31, 34}, {32, 35},
     {36, 37}, {38, 39}, {41, 42}, {43, 44}, {1, 31},  {2, 32},  {3, 33},
     {5, 36},  {8, 21},  {9, 25},  {10, 39}, {11, 27}, {12, 40}, {13, 42},
     {14, 15}, {18, 34}, {22, 35}, {23, 38}, {29, 44}, {1, 16},  {4, 18},
     {5, 20},  {6, 22},  {7, 38},  {8, 37},  {12, 26}, {13, 28}, {17, 32},
     {19, 33}, {24, 39}, {25, 41}, {27, 43}, {2, 17},  {4, 14},  {5, 15},
     {7, 23},  {8, 19},  {9, 25},  {10, 24}, {11, 27}, {16, 31}, {18, 34},
     {20, 36}, {21, 37}, {22, 35}, {26, 38}, {28, 42}, {30, 39}, {41, 44},
     {43, 45}, {1, 4},   {2, 5},   {3, 14},  {6, 16},  {7, 32},  {9, 31},
     {12, 15}, {13, 37}, {19, 21}, {23, 26}, {29, 35}, {30, 33}, {39, 42},
     {40, 43}, {2, 4},   {3, 6},   {7, 18},  {9, 16},  {11, 32}, {12, 17},
     {13, 34}, {14, 20}, {15, 22}, {21, 29}, {23, 31}, {24, 40}, {25, 30},
     {27, 37}, {28, 33}, {35, 41}, {42, 45}, {43, 44}, {3, 4},   {5, 6},
     {7, 14},  {9, 12},  {10, 22}, {11, 20}, {13, 15}, {21, 23}, {24, 34},
     {25, 36}, {29, 31}, {30, 32}, {33, 41}, {37, 40}, {39, 43}, {42, 44},
     {4, 5},   {6, 7},   {8, 13},  {10, 25}, {11, 21}, {14, 16}, {15, 19},
     {20, 23}, {22, 36}, {24, 29}, {26, 30}, {31, 34}, {32, 38}, {35, 37},
     {39, 40}, {42, 43}, {7, 12},  {8, 14},  {10, 17}, {13, 15}, {16, 18},
     {19, 25}, {20, 24}, {22, 26}, {23, 29}, {27, 35}, {28, 36}, {30, 32},
     {33, 39}, {37, 38}, {8, 9},   {10, 13}, {11, 16}, {12, 14}, {15, 17},
     {18, 21}, {19, 22}, {25, 26}, {27, 31}, {28, 30}, {32, 36}, {33, 37},
     {34, 35}, {38, 41}, {6, 8},   {10, 11}, {13, 16}, {15, 18}, {17, 21},
     {19, 20}, {22, 24}, {23, 25}, {26, 29}, {27, 28}, {30, 31}, {32, 34},
     {35, 36}, {40, 41}, {5, 6},   {9, 10},  {11, 13}, {14, 15}, {16, 18},
     {17, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 32},
     {31, 33}, {34, 35}, {36, 38}, {41, 42}, {7, 9},   {10, 12}, {11, 14},
     {13, 15}, {16, 17}, {18, 19}, {20, 22}, {21, 23}, {24, 26}, {25, 27},
     {28, 30}, {29, 32}, {31, 34}, {33, 35}, {36, 37}, {38, 39}, {7, 8},
     {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22},
     {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34}, {35, 36},
     {37, 38}, {39, 40}, {1, 12},  {2, 13},  {3, 14},  {4, 8},   {5, 6},
     {7, 11},  {9, 10},  {15, 18}, {16, 29}, {17, 28}, {19, 30}, {20, 24},
     {21, 22}, {23, 27}, {25, 26}, {31, 34}, {32, 45}, {33, 44}, {35, 46},
     {36, 40}, {37, 38}, {39, 43}, {41, 42}, {0, 5},   {1, 7},   {2, 9},
     {3, 4},   {8, 14},  {10, 13}, {11, 12}, {15, 25}, {16, 21}, {17, 23},
     {18, 26}, {19, 20}, {22, 29}, {24, 30}, {27, 28}, {31, 41}, {32, 37},
     {33, 39}, {34, 42}, {35, 36}, {38, 45}, {40, 46}, {43, 44}, {0, 1},
     {2, 3},   {4, 5},   {6, 8},   {7, 9},   {10, 11}, {13, 14}, {15, 19},
     {16, 17}, {18, 27}, {20, 21}, {22, 24}, {23, 25}, {26, 30}, {28, 29},
     {31, 35}, {32, 33}, {34, 43}, {36, 37}, {38, 40}, {39, 41}, {42, 46},
     {44, 45}, {0, 2},   {1, 3},   {4, 10},  {5, 11},  {6, 7},   {8, 9},
     {12, 13}, {15, 16}, {17, 19}, {18, 20}, {21, 27}, {22, 23}, {24, 25},
     {26, 28}, {29, 30}, {31, 32}, {33, 35}, {34, 36}, {37, 43}, {38, 39},
     {40, 41}, {42, 44}, {45, 46}, {1, 2},   {3, 12},  {4, 6},   {5, 7},
     {8, 10},  {9, 11},  {13, 14}, {15, 31}, {16, 17}, {18, 22}, {19, 26},
     {20, 24}, {21, 23}, {25, 27}, {28, 29}, {30, 46}, {32, 33}, {34, 38},
     {35, 42}, {36, 40}, {37, 39}, {41, 43}, {44, 45}, {0, 15},  {1, 4},
     {2, 6},   {3, 19},  {5, 8},   {7, 10},  {9, 13},  {11, 14}, {16, 18},
     {17, 22}, {20, 21}, {23, 24}, {25, 28}, {26, 42}, {27, 29}, {32, 34},
     {33, 38}, {36, 37}, {39, 40}, {41, 44}, {43, 45}, {1, 32},  {2, 33},
     {3, 35},  {5, 36},  {8, 21},  {9, 25},  {10, 40}, {11, 27}, {12, 42},
     {13, 44}, {14, 45}, {15, 31}, {18, 34}, {22, 38}, {23, 39}, {1, 16},
     {4, 18},  {5, 20},  {6, 22},  {7, 39},  {8, 37},  {12, 26}, {13, 28},
     {17, 33}, {19, 35}, {24, 40}, {25, 41}, {27, 43}, {29, 45}, {2, 17},
     {4, 15},  {5, 31},  {7, 23},  {8, 19},  {9, 25},  {10, 24}, {11, 27},
     {14, 29}, {16, 32}, {18, 34}, {20, 36}, {21, 37}, {22, 38}, {26, 39},
     {28, 44}, {30, 40}, {43, 46}, {1, 4},   {2, 5},   {3, 15},  {6, 16},
     {7, 33},  {9, 32},  {12, 31}, {13, 37}, {14, 38}, {19, 21}, {23, 26},
     {29, 41}, {30, 35}, {40, 44}, {42, 43}, {45, 46}, {2, 4},   {3, 6},
     {7, 18},  {9, 16},  {11, 33}, {12, 17}, {13, 34}, {14, 21}, {15, 20},
     {22, 31}, {23, 32}, {24, 42}, {25, 30}, {27, 37}, {28, 35}, {29, 38},
     {41, 43}, {44, 45}, {3, 4},   {5, 6},   {7, 15},  {9, 12},  {10, 31},
     {11, 20}, {13, 22}, {14, 23}, {21, 32}, {24, 34}, {25, 36}, {30, 33},
     {35, 38}, {37, 42}, {40, 41}, {43, 44}, {4, 5},   {6, 7},   {8, 13},
     {10, 25}, {11, 14}, {15, 16}, {19, 22}, {20, 23}, {21, 24}, {26, 30},
     {29, 37}, {31, 36}, {32, 34}, {33, 39}, {40, 42}, {41, 43}, {7, 12},
     {8, 15},  {10, 17}, {13, 19}, {16, 18}, {20, 21}, {22, 25}, {23, 24},
     {26, 31}, {27, 29}, {28, 36}, {30, 33}, {35, 40}, {37, 39}, {8, 9},
     {10, 13}, {11, 16}, {12, 15}, {14, 18}, {17, 19}, {22, 26}, {25, 31},
     {27, 32}, {28, 30}, {29, 34}, {33, 36}, {35, 37}, {38, 39}, {6, 8},
     {10, 11}, {13, 16}, {14, 17}, {18, 19}, {20, 22}, {21, 26}, {23, 25},
     {24, 31}, {27, 28}, {29, 33}, {30, 32}, {34, 36}, {39, 42}, {5, 6},
     {9, 10},  {11, 13}, {14, 15}, {16, 17}, {18, 20}, {19, 22}, {21, 23},
     {24, 27}, {25, 26}, {28, 31}, {29, 30}, {32, 35}, {33, 34}, {36, 38},
     {41, 42}, {7, 9},   {10, 12}, {11, 14}, {13, 15}, {16, 18}, {17, 20},
     {19, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33},
     {34, 35}, {36, 37}, {38, 40}, {7, 8},   {9, 10},  {11, 12}, {13, 14},
     {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28},
     {29, 30}, {31, 32}, {33, 34}, {35, 36}, {37, 38}, {39, 40}, {0, 13},
     {1, 12},  {2, 15},  {3, 14},  {4, 8},   {5, 6},   {7, 11},  {9, 10},
     {16, 29}, {17, 28}, {18, 31}, {19, 30}, {20, 24}, {21, 22}, {23, 27},
     {25, 26}, {32, 45}, {33, 44}, {34, 47}, {35, 46}, {36, 40}, {37, 38},
     {39, 43}, {41, 42}, {0, 5},   {1, 7},   {2, 9},   {3, 4},   {6, 13},
     {8, 14},  {10, 15}, {11, 12}, {16, 21}, {17, 23}, {18, 25}, {19, 20},
     {22, 29}, {24, 30}, {26, 31}, {27, 28}, {32, 37}, {33, 39}, {34, 41},
     {35, 36}, {38, 45}, {40, 46}, {42, 47}, {43, 44}, {0, 1},   {2, 3},
     {4, 5},   {6, 8},   {7, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17},
     {18, 19}, {20, 21}, {22, 24}, {23, 25}, {26, 27}, {28, 29}, {30, 31},
     {32, 33}, {34, 35}, {36, 37}, {38, 40}, {39, 41}, {42, 43}, {44, 45},
     {46, 47}, {0, 2},   {1, 3},   {4, 10},  {5, 11},  {6, 7},   {8, 9},
     {12, 14}, {13, 15}, {16, 18}, {17, 19}, {20, 26}, {21, 27}, {22, 23},
     {24, 25}, {28, 30}, {29, 31}, {32, 34}, {33, 35}, {36, 42}, {37, 43},
     {38, 39}, {40, 41}, {44, 46}, {45, 47}, {1, 2},   {3, 12},  {4, 6},
     {5, 7},   {8, 10},  {9, 11},  {13, 14}, {15, 31}, {16, 32}, {17, 18},
     {19, 28}, {20, 22}, {21, 23}, {24, 26}, {25, 27}, {29, 30}, {33, 34},
     {35, 44}, {36, 38}, {37, 39}, {40, 42}, {41, 43}, {45, 46}, {0, 16},
     {1, 4},   {2, 6},   {3, 19},  {5, 8},   {7, 10},  {9, 13},  {11, 14},
     {17, 20}, {18, 22}, {21, 24}, {23, 26}, {25, 29}, {27, 30}, {28, 44},
     {31, 47}, {33, 36}, {34, 38}, {37, 40}, {39, 42}, {41, 45}, {43, 46},
     {1, 33},  {2, 34},  {3, 35},  {5, 37},  {8, 24},  {9, 25},  {10, 42},
     {11, 27}, {12, 44}, {13, 45}, {14, 46}, {15, 31}, {16, 32}, {20, 36},
     {22, 38}, {23, 39}, {1, 17},  {4, 20},  {5, 21},  {6, 22},  {7, 39},
     {8, 40},  {12, 28}, {13, 29}, {18, 34}, {19, 35}, {25, 41}, {26, 42},
     {27, 43}, {30, 46}, {2, 18},  {4, 16},  {5, 32},  {7, 23},  {8, 19},
     {9, 25},  {10, 26}, {11, 27}, {14, 30}, {15, 42}, {17, 33}, {20, 36},
     {21, 37}, {22, 38}, {24, 40}, {28, 39}, {29, 45}, {31, 43}, {1, 4},
     {2, 5},   {3, 16},  {6, 17},  {7, 34},  {9, 33},  {12, 32}, {13, 40},
     {14, 38}, {15, 35}, {19, 24}, {23, 28}, {30, 41}, {31, 44}, {42, 45},
     {43, 46}, {2, 4},   {3, 6},   {7, 20},  {9, 17},  {11, 34}, {12, 18},
     {13, 36}, {14, 24}, {15, 25}, {16, 21}, {22, 32}, {23, 33}, {26, 31},
     {27, 40}, {29, 35}, {30, 38}, {41, 44}, {43, 45}, {3, 4},   {5, 6},
     {7, 16},  {9, 12},  {10, 32}, {11, 21}, {13, 22}, {14, 23}, {15, 37},
     {24, 33}, {25, 34}, {26, 36}, {31, 40}, {35, 38}, {41, 42}, {43, 44},
     {4, 5},   {6, 7},   {8, 13},  {10, 15}, {11, 14}, {16, 17}, {19, 22},
     {21, 23}, {24, 26}, {25, 28}, {30, 31}, {32, 37}, {33, 36}, {34, 39},
     {40, 41}, {42, 43}, {7, 12},  {8, 16},  {10, 18}, {13, 19}, {15, 22},
     {17, 20}, {21, 24}, {23, 26}, {25, 32}, {27, 30}, {28, 34}, {29, 37},
     {31, 39}, {35, 40}, {8, 9},   {10, 13}, {11, 17}, {12, 16}, {14, 20},
     {15, 25}, {18, 19}, {22, 32}, {27, 33}, {28, 29}, {30, 36}, {31, 35},
     {34, 37}, {38, 39}, {6, 8},   {10, 11}, {13, 17}, {14, 18}, {15, 21},
     {19, 20}, {22, 23}, {24, 25}, {26, 32}, {27, 28}, {29, 33}, {30, 34},
     {36, 37}, {39, 41}, {5, 6},   {9, 10},  {11, 13}, {14, 16}, {15, 19},
     {17, 18}, {20, 21}, {22, 24}, {23, 25}, {26, 27}, {28, 32}, {29, 30},
     {31, 33}, {34, 36}, {37, 38}, {41, 42}, {7, 9},   {10, 12}, {11, 14},
     {13, 16}, {15, 17}, {18, 19}, {20, 22}, {21, 24}, {23, 26}, {25, 27},
     {28, 29}, {30, 32}, {31, 34}, {33, 36}, {35, 37}, {38, 40}, {7, 8},
     {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22},
     {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34}, {35, 36},
     {37, 38}, {39, 40}, {0, 8},   {1, 7},   {2, 6},   {3, 11},  {4, 10},
     {5, 9},   {12, 20}, {13, 19}, {14, 18}, {15, 23}, {16, 22}, {17, 21},
     {24, 32}, {25, 31}, {26, 30}, {27, 35}, {28, 34}, {29, 33}, {36, 48},
     {37, 46}, {38, 45}, {39, 43}, {41, 47}, {42, 44}, {0, 1},   {2, 5},
     {3, 4},   {6, 9},   {7, 8},   {10, 11}, {12, 13}, {14, 17}, {15, 16},
     {18, 21}, {19, 20}, {22, 23}, {24, 25}, {26, 29}, {27, 28}, {30, 33},
     {31, 32}, {34, 35}, {37, 42}, {38, 39}, {40, 47}, {43, 45}, {44, 46},
     {0, 2},   {1, 6},   {5, 10},  {9, 11},  {12, 14}, {13, 18}, {17, 22},
     {21, 23}, {24, 26}, {25, 30}, {29, 34}, {33, 35}, {36, 40}, {37, 38},
     {39, 42}, {43, 44}, {45, 46}, {47, 48}, {0, 3},   {1, 2},   {4, 6},
     {5, 7},   {8, 11},  {9, 10},  {12, 15}, {13, 14}, {16, 18}, {17, 19},
     {20, 23}, {21, 22}, {24, 27}, {25, 26}, {28, 30}, {29, 31}, {32, 35},
     {33, 34}, {40, 42}, {41, 45}, {44, 47}, {46, 48}, {0, 24},  {1, 4},
     {3, 5},   {6, 8},   {7, 10},  {11, 23}, {13, 16}, {15, 17}, {18, 20},
     {19, 22}, {25, 28}, {27, 29}, {30, 32}, {31, 34}, {36, 41}, {39, 44},
     {40, 43}, {42, 47}, {45, 46}, {1, 3},   {2, 5},   {6, 9},   {8, 10},
     {13, 15}, {14, 17}, {18, 21}, {20, 22}, {25, 27}, {26, 29}, {30, 33},
     {32, 34}, {36, 37}, {38, 41}, {42, 45}, {43, 44}, {46, 47}, {1, 13},
     {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 22}, {12, 36}, {14, 15},
     {16, 17}, {18, 19}, {20, 21}, {26, 27}, {28, 29}, {30, 31}, {32, 33},
     {35, 47}, {37, 39}, {38, 40}, {41, 42}, {45, 46}, {0, 12},  {2, 14},
     {4, 6},   {5, 7},   {9, 21},  {11, 35}, {16, 18}, {17, 19}, {23, 47},
     {24, 36}, {28, 30}, {29, 31}, {34, 46}, {37, 38}, {39, 40}, {41, 43},
     {42, 44}, {3, 4},   {5, 6},   {7, 8},   {10, 34}, {12, 24}, {15, 16},
     {17, 18}, {19, 20}, {22, 46}, {23, 35}, {25, 37}, {27, 28}, {29, 30},
     {31, 32}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {1, 25},  {3, 15},
     {4, 28},  {5, 29},  {6, 30},  {7, 31},  {8, 32},  {13, 37}, {19, 43},
     {20, 48}, {22, 34}, {26, 38}, {33, 45}, {39, 40}, {41, 42}, {2, 26},
     {4, 40},  {7, 19},  {8, 20},  {9, 33},  {13, 25}, {14, 38}, {16, 28},
     {17, 41}, {18, 42}, {21, 45}, {27, 39}, {31, 43}, {32, 48}, {3, 27},
     {5, 17},  {6, 18},  {9, 37},  {10, 38}, {14, 26}, {15, 39}, {19, 31},
     {20, 32}, {21, 33}, {28, 44}, {29, 41}, {30, 42}, {35, 43}, {36, 40},
     {5, 13},  {6, 14},  {8, 28},  {9, 25},  {10, 26}, {11, 39}, {15, 27},
     {16, 36}, {17, 29}, {18, 30}, {20, 40}, {21, 37}, {22, 38}, {32, 44},
     {33, 41}, {34, 42}, {43, 46}, {4, 16},  {7, 15},  {8, 24},  {9, 13},
     {10, 14}, {11, 27}, {17, 25}, {18, 26}, {21, 29}, {22, 30}, {23, 39},
     {28, 36}, {32, 40}, {33, 37}, {34, 38}, {42, 48}, {3, 9},   {4, 12},
     {11, 15}, {13, 17}, {14, 18}, {19, 27}, {21, 25}, {22, 26}, {23, 31},
     {24, 28}, {29, 33}, {30, 34}, {32, 36}, {35, 39}, {38, 44}, {43, 48},
     {1, 4},   {3, 5},   {7, 13},  {8, 12},  {11, 17}, {15, 19}, {16, 24},
     {20, 28}, {23, 27}, {30, 36}, {31, 35}, {34, 40}, {39, 45}, {2, 8},
     {7, 9},   {12, 16}, {15, 21}, {19, 25}, {20, 24}, {23, 29}, {27, 33},
     {28, 32}, {31, 37}, {34, 36}, {35, 41}, {39, 42}, {45, 48}, {2, 4},
     {6, 12},  {10, 16}, {14, 20}, {18, 24}, {19, 21}, {22, 28}, {23, 25},
     {26, 32}, {29, 30}, {31, 33}, {35, 38}, {37, 40}, {39, 44}, {43, 45},
     {46, 48}, {6, 8},   {10, 12}, {11, 14}, {13, 16}, {15, 20}, {17, 18},
     {22, 24}, {26, 28}, {27, 32}, {31, 34}, {33, 36}, {35, 37}, {38, 40},
     {41, 44}, {47, 48}, {3, 6},   {5, 8},   {7, 10},  {9, 12},  {11, 13},
     {14, 16}, {15, 17}, {18, 20}, {19, 22}, {21, 24}, {23, 26}, {25, 28},
     {27, 29}, {30, 32}, {33, 34}, {35, 36}, {37, 38}, {39, 41}, {42, 44},
     {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16},
     {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30},
     {31, 32}, {39, 40}, {43, 44}, {0, 8},   {1, 7},   {2, 6},   {3, 11},
     {4, 10},  {5, 9},   {12, 24}, {13, 22}, {14, 21}, {15, 19}, {17, 23},
     {18, 20}, {25, 33}, {26, 32}, {27, 31}, {28, 36}, {29, 35}, {30, 34},
     {37, 49}, {38, 47}, {39, 46}, {40, 44}, {42, 48}, {43, 45}, {0, 1},
     {2, 5},   {3, 4},   {6, 9},   {7, 8},   {10, 11}, {13, 18}, {14, 15},
     {16, 23}, {19, 21}, {20, 22}, {25, 26}, {27, 30}, {28, 29}, {31, 34},
     {32, 33}, {35, 36}, {38, 43}, {39, 40}, {41, 48}, {44, 46}, {45, 47},
     {0, 2},   {1, 6},   {5, 10},  {9, 11},  {12, 16}, {13, 14}, {15, 18},
     {19, 20}, {21, 22}, {23, 24}, {25, 27}, {26, 31}, {30, 35}, {34, 36},
     {37, 41}, {38, 39}, {40, 43}, {44, 45}, {46, 47}, {48, 49}, {0, 3},
     {1, 2},   {4, 6},   {5, 7},   {8, 11},  {9, 10},  {16, 18}, {17, 21},
     {20, 23}, {22, 24}, {25, 28}, {26, 27}, {29, 31}, {30, 32}, {33, 36},
     {34, 35}, {41, 43}, {42, 46}, {45, 48}, {47, 49}, {0, 25},  {1, 4},
     {3, 5},   {6, 8},   {7, 10},  {12, 17}, {15, 20}, {16, 19}, {18, 23},
     {21, 22}, {26, 29}, {28, 30}, {31, 33}, {32, 35}, {37, 42}, {40, 45},
     {41, 44}, {43, 48}, {46, 47}, {1, 3},   {2, 5},   {6, 9},   {8, 10},
     {12, 13}, {14, 17}, {18, 21}, {19, 20}, {22, 23}, {26, 28}, {27, 30},
     {31, 34}, {33, 35}, {37, 38}, {39, 42}, {43, 46}, {44, 45}, {47, 48},
     {2, 3},   {4, 5},   {6, 7},   {8, 9},   {11, 23}, {12, 37}, {13, 15},
     {14, 16}, {17, 18}, {21, 22}, {27, 28}, {29, 30}, {31, 32}, {33, 34},
     {36, 48}, {38, 40}, {39, 41}, {42, 43}, {46, 47}, {0, 12},  {4, 6},
     {5, 7},   {10, 22}, {11, 36}, {13, 14}, {15, 16}, {17, 19}, {18, 20},
     {23, 48}, {29, 31}, {30, 32}, {35, 47}, {38, 39}, {40, 41}, {42, 44},
     {43, 45}, {1, 13},  {3, 4},   {5, 6},   {7, 8},   {10, 35}, {14, 15},
     {16, 17}, {18, 19}, {20, 21}, {22, 47}, {23, 36}, {26, 38}, {28, 29},
     {30, 31}, {32, 33}, {39, 40}, {41, 42}, {43, 44}, {45, 46}, {1, 26},
     {2, 14},  {4, 29},  {5, 30},  {6, 31},  {7, 32},  {8, 49},  {9, 21},
     {13, 38}, {15, 16}, {17, 18}, {19, 44}, {20, 45}, {22, 35}, {24, 33},
     {27, 39}, {34, 46}, {40, 41}, {42, 43}, {2, 27},  {3, 15},  {4, 37},
     {7, 19},  {8, 24},  {9, 34},  {13, 26}, {14, 39}, {16, 41}, {17, 42},
     {18, 43}, {21, 46}, {28, 40}, {29, 45}, {32, 44}, {33, 49}, {3, 28},
     {4, 12},  {5, 17},  {6, 18},  {9, 38},  {10, 39}, {14, 27}, {15, 40},
     {16, 25}, {19, 32}, {20, 29}, {21, 34}, {24, 33}, {30, 42}, {31, 43},
     {36, 44}, {48, 49}, {5, 13},  {6, 14},  {8, 16},  {9, 26},  {10, 27},
     {11, 40}, {12, 20}, {15, 28}, {17, 30}, {18, 31}, {21, 38}, {22, 39},
     {25, 41}, {29, 37}, {33, 45}, {34, 42}, {35, 43}, {47, 48}, {4, 8},
     {7, 15},  {9, 13},  {10, 14}, {11, 28}, {16, 25}, {17, 26}, {18, 27},
     {20, 29}, {21, 30}, {22, 31}, {23, 40}, {24, 41}, {34, 38}, {35, 39},
     {43, 45}, {1, 4},   {3, 9},   {8, 12},  {11, 15}, {13, 17}, {14, 18},
     {16, 20}, {19, 28}, {21, 26}, {22, 27}, {23, 32}, {24, 25}, {30, 34},
     {31, 35}, {33, 41}, {36, 40}, {2, 8},   {7, 13},  {11, 17}, {12, 16},
     {15, 19}, {23, 28}, {24, 29}, {25, 37}, {32, 36}, {39, 41}, {40, 46},
     {2, 4},   {5, 8},   {6, 12},  {10, 16}, {11, 13}, {15, 21}, {19, 26},
     {20, 24}, {23, 30}, {25, 29}, {28, 34}, {32, 38}, {33, 37}, {36, 42},
     {40, 43}, {45, 46}, {6, 8},   {7, 10},  {9, 12},  {14, 20}, {18, 24},
     {22, 25}, {27, 29}, {31, 33}, {35, 37}, {36, 39}, {41, 42}, {44, 46},
     {3, 6},   {7, 12},  {14, 16}, {15, 18}, {17, 20}, {19, 24}, {21, 22},
     {23, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 35}, {33, 34}, {37, 38},
     {40, 41}, {42, 43}, {44, 47}, {3, 5},   {6, 8},   {7, 9},   {10, 12},
     {11, 14}, {13, 16}, {15, 17}, {18, 20}, {19, 21}, {22, 24}, {23, 26},
     {25, 27}, {28, 30}, {29, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39},
     {41, 42}, {44, 45}, {46, 47}, {3, 4},   {7, 8},   {11, 12}, {13, 14},
     {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28},
     {29, 30}, {31, 32}, {33, 34}, {35, 36}, {37, 38}, {39, 40}, {43, 44},
     {47, 48}, {0, 8},   {1, 7},   {2, 6},   {3, 11},  {4, 10},  {5, 9},
     {12, 24}, {13, 22}, {14, 21}, {15, 19}, {17, 23}, {18, 20}, {25, 37},
     {26, 35}, {27, 34}, {28, 32}, {30, 36}, {31, 33}, {38, 50}, {39, 48},
     {40, 47}, {41, 45}, {43, 49}, {44, 46}, {0, 1},   {2, 5},   {3, 4},
     {6, 9},   {7, 8},   {10, 11}, {13, 18}, {14, 15}, {16, 23}, {19, 21},
     {20, 22}, {26, 31}, {27, 28}, {29, 36}, {32, 34}, {33, 35}, {39, 44},
     {40, 41}, {42, 49}, {45, 47}, {46, 48}, {0, 2},   {1, 6},   {5, 10},
     {9, 11},  {12, 16}, {13, 14}, {15, 18}, {19, 20}, {21, 22}, {23, 24},
     {25, 29}, {26, 27}, {28, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 42},
     {39, 40}, {41, 44}, {45, 46}, {47, 48}, {49, 50}, {0, 3},   {1, 2},
     {4, 6},   {5, 7},   {8, 11},  {9, 10},  {16, 18}, {17, 21}, {20, 23},
     {22, 24}, {29, 31}, {30, 34}, {33, 36}, {35, 37}, {42, 44}, {43, 47},
     {46, 49}, {48, 50}, {1, 4},   {3, 5},   {6, 8},   {7, 10},  {12, 17},
     {15, 20}, {16, 19}, {18, 23}, {21, 22}, {25, 30}, {28, 33}, {29, 32},
     {31, 36}, {34, 35}, {37, 50}, {38, 43}, {41, 46}, {42, 45}, {44, 49},
     {47, 48}, {1, 3},   {2, 5},   {6, 9},   {8, 10},  {12, 13}, {14, 17},
     {18, 21}, {19, 20}, {22, 23}, {25, 26}, {27, 30}, {31, 34}, {32, 33},
     {35, 36}, {38, 39}, {40, 43}, {44, 47}, {45, 46}, {48, 49}, {2, 3},
     {4, 5},   {6, 7},   {8, 9},   {11, 23}, {12, 38}, {13, 15}, {14, 16},
     {17, 18}, {21, 22}, {26, 28}, {27, 29}, {30, 31}, {34, 35}, {36, 49},
     {39, 41}, {40, 42}, {43, 44}, {47, 48}, {4, 6},   {5, 7},   {10, 22},
     {11, 36}, {12, 25}, {13, 14}, {15, 16}, {17, 19}, {18, 20}, {23, 49},
     {26, 27}, {28, 29}, {30, 32}, {31, 33}, {35, 48}, {39, 40}, {41, 42},
     {43, 45}, {44, 46}, {1, 13},  {3, 4},   {5, 6},   {7, 8},   {10, 35},
     {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 48}, {23, 36}, {26, 39},
     {27, 28}, {29, 30}, {31, 32}, {33, 34}, {40, 41}, {42, 43}, {44, 45},
     {46, 47}, {1, 26},  {2, 14},  {4, 33},  {7, 32},  {8, 24},  {9, 21},
     {13, 39}, {15, 16}, {17, 18}, {19, 45}, {20, 46}, {22, 35}, {27, 40},
     {28, 29}, {30, 31}, {34, 47}, {41, 42}, {43, 44}, {0, 29},  {2, 27},
     {3, 15},  {4, 38},  {5, 30},  {6, 31},  {7, 19},  {8, 37},  {9, 34},
     {13, 26}, {14, 40}, {16, 42}, {17, 43}, {18, 44}, {20, 25}, {21, 47},
     {24, 50}, {28, 41}, {32, 45}, {33, 46}, {0, 16},  {3, 28},  {4, 20},
     {5, 17},  {6, 18},  {9, 39},  {10, 40}, {14, 27}, {15, 41}, {19, 32},
     {21, 34}, {24, 37}, {29, 42}, {30, 43}, {31, 44}, {33, 38}, {36, 45},
     {49, 50}, {0, 12},  {5, 13},  {6, 14},  {8, 29},  {9, 26},  {10, 27},
     {11, 41}, {15, 28}, {17, 30}, {18, 31}, {21, 39}, {22, 40}, {24, 42},
     {25, 33}, {34, 43}, {35, 44}, {37, 46}, {4, 12},  {7, 15},  {9, 13},
     {10, 14}, {11, 28}, {16, 29}, {17, 26}, {18, 27}, {20, 25}, {21, 30},
     {22, 31}, {23, 41}, {33, 38}, {34, 39}, {35, 40}, {37, 42}, {46, 48},
     {1, 4},   {3, 9},   {8, 16},  {11, 15}, {13, 17}, {14, 18}, {19, 28},
     {21, 26}, {22, 27}, {23, 32}, {24, 29}, {30, 34}, {31, 35}, {36, 41},
     {42, 45}, {48, 49}, {7, 13},  {8, 20},  {11, 17}, {15, 19}, {16, 25},
     {23, 28}, {24, 33}, {29, 38}, {32, 36}, {41, 47}, {42, 44}, {8, 12},
     {15, 21}, {16, 20}, {19, 26}, {23, 30}, {24, 25}, {28, 34}, {29, 33},
     {32, 39}, {36, 43}, {37, 38}, {46, 47}, {2, 8},   {6, 12},  {10, 16},
     {14, 20}, {18, 24}, {22, 25}, {27, 29}, {31, 33}, {32, 34}, {35, 37},
     {38, 40}, {41, 43}, {44, 46}, {45, 47}, {2, 4},   {3, 8},   {5, 6},
     {7, 10},  {9, 12},  {11, 14}, {13, 16}, {15, 20}, {17, 18}, {19, 22},
     {21, 24}, {23, 27}, {25, 26}, {28, 31}, {29, 30}, {33, 35}, {36, 38},
     {37, 39}, {40, 42}, {45, 46}, {47, 48}, {3, 5},   {6, 8},   {7, 12},
     {11, 16}, {15, 17}, {18, 20}, {19, 24}, {23, 25}, {26, 27}, {28, 29},
     {30, 31}, {32, 33}, {34, 35}, {36, 39}, {40, 41}, {42, 43}, {3, 4},
     {5, 6},   {7, 9},   {10, 12}, {11, 13}, {14, 16}, {17, 18}, {19, 21},
     {22, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34}, {36, 37},
     {38, 39}, {41, 42}, {43, 44}, {7, 8},   {11, 12}, {15, 16}, {19, 20},
     {23, 24}, {35, 36}, {39, 40}, {0, 2},   {1, 3},   {4, 6},   {5, 7},
     {8, 10},  {9, 11},  {12, 14}, {13, 15}, {16, 18}, {17, 19}, {20, 22},
     {21, 23}, {24, 26}, {25, 27}, {28, 30}, {29, 31}, {32, 34}, {33, 35},
     {36, 38}, {37, 39}, {40, 42}, {41, 43}, {44, 46}, {45, 47}, {48, 50},
     {49, 51}, {0, 1},   {2, 3},   {4, 5},   {6, 7},   {8, 9},   {10, 11},
     {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25},
     {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39},
     {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {0, 48},
     {1, 2},   {3, 51},  {4, 40},  {5, 6},   {7, 31},  {8, 36},  {9, 10},
     {11, 47}, {12, 28}, {13, 14}, {15, 43}, {17, 18}, {19, 27}, {20, 44},
     {21, 22}, {23, 39}, {24, 32}, {25, 26}, {29, 30}, {33, 34}, {37, 38},
     {41, 42}, {45, 46}, {49, 50}, {1, 49},  {2, 50},  {4, 24},  {5, 41},
     {6, 30},  {7, 35},  {8, 12},  {9, 37},  {10, 46}, {11, 19}, {13, 29},
     {14, 42}, {15, 23}, {16, 44}, {18, 26}, {21, 45}, {22, 38}, {25, 33},
     {27, 47}, {28, 36}, {32, 40}, {39, 43}, {0, 16},  {3, 7},   {4, 8},
     {5, 25},  {6, 34},  {9, 13},  {10, 18}, {11, 15}, {12, 24}, {14, 22},
     {17, 45}, {19, 23}, {26, 46}, {27, 39}, {28, 32}, {29, 37}, {33, 41},
     {35, 51}, {36, 40}, {38, 42}, {43, 47}, {44, 48}, {1, 17},  {2, 6},
     {3, 11},  {5, 9},   {7, 19},  {10, 14}, {13, 25}, {15, 31}, {16, 24},
     {18, 22}, {20, 36}, {26, 38}, {27, 35}, {29, 33}, {32, 44}, {34, 50},
     {37, 41}, {40, 48}, {42, 46}, {45, 49}, {0, 20},  {2, 10},  {6, 18},
     {7, 27},  {11, 15}, {12, 32}, {14, 30}, {16, 28}, {17, 25}, {19, 39},
     {21, 37}, {23, 35}, {24, 44}, {26, 34}, {31, 51}, {33, 45}, {36, 40},
     {41, 49}, {0, 4},   {1, 21},  {6, 26},  {7, 11},  {8, 20},  {10, 14},
     {13, 33}, {15, 27}, {17, 29}, {18, 38}, {19, 23}, {22, 34}, {24, 36},
     {25, 45}, {28, 32}, {30, 50}, {31, 43}, {37, 41}, {40, 44}, {47, 51},
     {1, 5},   {4, 12},  {6, 10},  {8, 16},  {9, 21},  {11, 15}, {14, 26},
     {18, 22}, {20, 24}, {25, 37}, {27, 31}, {29, 33}, {30, 42}, {35, 43},
     {36, 40}, {39, 47}, {41, 45}, {46, 50}, {4, 8},   {5, 13},  {9, 17},
     {10, 14}, {12, 16}, {19, 27}, {20, 28}, {21, 25}, {23, 31}, {24, 32},
     {26, 30}, {34, 42}, {35, 39}, {37, 41}, {38, 46}, {43, 47}, {5, 9},
     {8, 12},  {10, 40}, {11, 41}, {13, 17}, {15, 19}, {16, 20}, {18, 26},
     {21, 29}, {22, 30}, {23, 27}, {24, 28}, {25, 33}, {31, 35}, {32, 36},
     {34, 38}, {39, 43}, {42, 46}, {2, 32},  {7, 36},  {9, 13},  {11, 40},
     {12, 16}, {14, 18}, {15, 44}, {17, 21}, {19, 49}, {20, 24}, {22, 26},
     {25, 29}, {27, 31}, {30, 34}, {33, 37}, {35, 39}, {38, 42}, {1, 16},
     {3, 33},  {5, 12},  {9, 24},  {10, 32}, {13, 17}, {14, 15}, {18, 48},
     {19, 41}, {21, 25}, {26, 30}, {27, 42}, {34, 38}, {35, 50}, {36, 37},
     {39, 46}, {1, 4},   {2, 16},  {3, 18},  {6, 21},  {11, 25}, {13, 28},
     {15, 29}, {17, 32}, {19, 34}, {22, 36}, {23, 38}, {26, 40}, {30, 45},
     {33, 48}, {35, 49}, {47, 50}, {2, 8},   {3, 24},  {6, 20},  {7, 21},
     {10, 17}, {12, 13}, {14, 28}, {18, 32}, {19, 33}, {23, 37}, {27, 48},
     {30, 44}, {31, 45}, {34, 41}, {38, 39}, {43, 49}, {2, 4},   {3, 16},
     {6, 12},  {7, 20},  {11, 24}, {15, 28}, {19, 25}, {21, 22}, {23, 36},
     {26, 32}, {27, 40}, {29, 30}, {31, 44}, {35, 48}, {39, 45}, {47, 49},
     {3, 9},   {7, 13},  {10, 16}, {11, 17}, {14, 20}, {15, 21}, {18, 24},
     {19, 26}, {22, 28}, {23, 29}, {25, 32}, {27, 33}, {30, 36}, {31, 37},
     {34, 40}, {35, 41}, {38, 44}, {42, 48}, {3, 8},   {7, 9},   {10, 12},
     {11, 13}, {14, 16}, {15, 17}, {18, 20}, {19, 22}, {21, 24}, {23, 25},
     {26, 28}, {27, 30}, {29, 32}, {31, 33}, {34, 36}, {35, 37}, {38, 40},
     {39, 41}, {42, 44}, {43, 48}, {3, 5},   {6, 8},   {7, 10},  {9, 12},
     {11, 14}, {13, 16}, {15, 18}, {17, 20}, {19, 21}, {22, 24}, {23, 26},
     {25, 28}, {27, 29}, {30, 32}, {31, 34}, {33, 36}, {35, 38}, {37, 40},
     {39, 42}, {41, 44}, {43, 45}, {46, 48}, {3, 4},   {5, 6},   {7, 8},
     {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22},
     {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34}, {35, 36},
     {37, 38}, {39, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 48}, {0, 12},
     {1, 10},  {2, 9},   {3, 7},   {5, 11},  {6, 8},   {13, 25}, {14, 23},
     {15, 22}, {16, 20}, {18, 24}, {19, 21}, {26, 38}, {27, 36}, {28, 35},
     {29, 33}, {31, 37}, {32, 34}, {39, 45}, {40, 50}, {41, 51}, {42, 49},
     {43, 44}, {46, 52}, {47, 48}, {1, 6},   {2, 3},   {4, 11},  {7, 9},
     {8, 10},  {14, 19}, {15, 16}, {17, 24}, {20, 22}, {21, 23}, {27, 32},
     {28, 29}, {30, 37}, {33, 35}, {34, 36}, {40, 41}, {42, 46}, {43, 47},
     {44, 48}, {45, 49}, {50, 51}, {0, 4},   {1, 2},   {3, 6},   {7, 8},
     {9, 10},  {11, 12}, {13, 17}, {14, 15}, {16, 19}, {20, 21}, {22, 23},
     {24, 25}, {26, 30}, {27, 28}, {29, 32}, {33, 34}, {35, 36}, {37, 38},
     {39, 43}, {40, 42}, {44, 45}, {46, 47}, {48, 52}, {49, 51}, {4, 6},
     {5, 9},   {8, 11},  {10, 12}, {17, 19}, {18, 22}, {21, 24}, {23, 25},
     {30, 32}, {31, 35}, {34, 37}, {36, 38}, {39, 40}, {41, 48}, {42, 46},
     {43, 50}, {45, 49}, {51, 52}, {0, 5},   {3, 8},   {4, 7},   {6, 11},
     {9, 10},  {13, 18}, {16, 21}, {17, 20}, {19, 24}, {22, 23}, {25, 38},
     {26, 31}, {29, 34}, {30, 33}, {32, 37}, {35, 36}, {41, 44}, {43, 46},
     {45, 48}, {47, 50}, {0, 1},   {2, 5},   {6, 9},   {7, 8},   {10, 11},
     {13, 14}, {15, 18}, {19, 22}, {20, 21}, {23, 24}, {26, 27}, {28, 31},
     {32, 35}, {33, 34}, {36, 37}, {40, 41}, {42, 43}, {45, 46}, {48, 49},
     {50, 51}, {0, 26},  {1, 3},   {2, 4},   {5, 6},   {9, 10},  {11, 24},
     {13, 39}, {14, 16}, {15, 17}, {18, 19}, {22, 23}, {27, 29}, {28, 30},
     {31, 32}, {35, 36}, {40, 42}, {41, 43}, {44, 45}, {46, 47}, {48, 50},
     {49, 51}, {0, 13},  {1, 2},   {3, 4},   {5, 7},   {6, 8},   {10, 23},
     {12, 51}, {14, 15}, {16, 17}, {18, 20}, {19, 21}, {26, 39}, {27, 28},
     {29, 30}, {31, 33}, {32, 34}, {41, 42}, {43, 46}, {45, 48}, {49, 50},
     {1, 27},  {2, 3},   {4, 5},   {6, 7},   {8, 9},   {12, 25}, {13, 26},
     {14, 40}, {15, 16}, {17, 18}, {19, 20}, {21, 22}, {28, 29}, {30, 31},
     {32, 33}, {34, 35}, {37, 50}, {38, 51}, {43, 44}, {45, 46}, {47, 48},
     {1, 14},  {2, 15},  {3, 4},   {5, 6},   {7, 33},  {8, 34},  {9, 35},
     {11, 37}, {16, 17}, {18, 19}, {22, 52}, {24, 50}, {25, 38}, {27, 40},
     {28, 41}, {29, 30}, {31, 32}, {42, 43}, {44, 45}, {46, 47}, {48, 49},
     {2, 28},  {3, 16},  {4, 43},  {5, 31},  {6, 32},  {9, 22},  {14, 27},
     {15, 41}, {17, 30}, {19, 45}, {20, 46}, {21, 47}, {24, 37}, {29, 42},
     {35, 52}, {36, 49}, {3, 29},  {4, 17},  {5, 44},  {6, 19},  {7, 20},
     {8, 21},  {10, 36}, {15, 28}, {16, 42}, {18, 31}, {22, 35}, {23, 49},
     {30, 43}, {32, 45}, {33, 46}, {34, 47}, {4, 13},  {6, 15},  {8, 26},
     {10, 41}, {11, 42}, {12, 17}, {16, 29}, {19, 32}, {20, 33}, {21, 34},
     {23, 36}, {25, 43}, {31, 48}, {37, 46}, {38, 47}, {40, 44}, {1, 4},
     {7, 16},  {8, 13},  {9, 31},  {10, 28}, {11, 29}, {17, 30}, {18, 40},
     {21, 39}, {22, 44}, {23, 41}, {24, 42}, {35, 48}, {36, 45}, {38, 43},
     {47, 52}, {2, 8},   {5, 18},  {9, 27},  {10, 15}, {11, 16}, {12, 21},
     {17, 26}, {19, 28}, {20, 29}, {23, 32}, {24, 33}, {25, 39}, {30, 34},
     {31, 40}, {35, 44}, {36, 41}, {37, 42}, {43, 49}, {46, 47}, {2, 4},
     {5, 14},  {12, 17}, {15, 19}, {16, 20}, {21, 26}, {23, 28}, {24, 29},
     {25, 30}, {27, 31}, {32, 36}, {33, 37}, {34, 39}, {35, 40}, {42, 48},
     {49, 50}, {5, 8},   {9, 14},  {12, 13}, {17, 21}, {18, 27}, {22, 31},
     {25, 26}, {30, 34}, {33, 40}, {37, 44}, {38, 39}, {43, 48}, {47, 49},
     {50, 52}, {3, 9},   {6, 12},  {10, 13}, {14, 18}, {15, 17}, {19, 21},
     {22, 27}, {23, 25}, {26, 28}, {30, 32}, {31, 35}, {34, 36}, {38, 41},
     {39, 45}, {49, 50}, {51, 52}, {3, 6},   {7, 14},  {10, 12}, {11, 18},
     {16, 22}, {20, 27}, {24, 31}, {25, 26}, {29, 35}, {32, 33}, {36, 37},
     {38, 40}, {39, 42}, {41, 44}, {45, 46}, {3, 8},   {7, 9},   {11, 15},
     {13, 14}, {16, 19}, {17, 18}, {20, 23}, {21, 22}, {24, 27}, {28, 31},
     {29, 30}, {34, 35}, {36, 38}, {37, 40}, {39, 44}, {43, 45}, {46, 48},
     {3, 5},   {6, 8},   {7, 10},  {9, 12},  {11, 13}, {14, 15}, {16, 17},
     {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31},
     {32, 34}, {33, 35}, {37, 38}, {39, 41}, {42, 44}, {45, 46}, {47, 48},
     {3, 4},   {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18},
     {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32},
     {33, 34}, {35, 36}, {39, 40}, {43, 44}, {0, 13},  {1, 12},  {2, 15},
     {3, 14},  {4, 8},   {5, 6},   {7, 11},  {9, 10},  {16, 35}, {17, 34},
     {18, 37}, {19, 36}, {20, 30}, {21, 22}, {23, 33}, {24, 29}, {25, 27},
     {26, 28}, {31, 32}, {38, 51}, {39, 50}, {40, 53}, {41, 52}, {42, 46},
     {43, 44}, {45, 49}, {47, 48}, {0, 5},   {1, 7},   {2, 9},   {3, 4},
     {6, 13},  {8, 14},  {10, 15}, {11, 12}, {16, 21}, {17, 23}, {18, 31},
     {19, 20}, {22, 35}, {25, 26}, {27, 28}, {30, 36}, {32, 37}, {33, 34},
     {38, 43}, {39, 45}, {40, 47}, {41, 42}, {44, 51}, {46, 52}, {48, 53},
     {49, 50}, {0, 1},   {2, 3},   {4, 5},   {6, 8},   {7, 9},   {10, 11},
     {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 30}, {23, 31},
     {24, 27}, {26, 29}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41},
     {42, 43}, {44, 46}, {45, 47}, {48, 49}, {50, 51}, {52, 53}, {0, 2},
     {1, 3},   {4, 10},  {5, 11},  {6, 7},   {8, 9},   {12, 14}, {13, 15},
     {16, 18}, {17, 19}, {20, 32}, {21, 33}, {22, 23}, {24, 25}, {26, 27},
     {28, 29}, {30, 31}, {34, 36}, {35, 37}, {38, 40}, {39, 41}, {42, 48},
     {43, 49}, {44, 45}, {46, 47}, {50, 52}, {51, 53}, {0, 38},  {1, 2},
     {3, 12},  {4, 6},   {5, 7},   {8, 10},  {9, 11},  {13, 14}, {15, 53},
     {16, 24}, {17, 18}, {19, 34}, {20, 22}, {21, 23}, {25, 26}, {27, 28},
     {29, 37}, {30, 32}, {31, 33}, {35, 36}, {39, 40}, {41, 50}, {42, 44},
     {43, 45}, {46, 48}, {47, 49}, {51, 52}, {0, 16},  {1, 4},   {2, 6},
     {5, 8},   {7, 10},  {9, 13},  {11, 14}, {15, 29}, {17, 20}, {18, 22},
     {21, 30}, {23, 32}, {24, 38}, {31, 35}, {33, 36}, {37, 53}, {39, 42},
     {40, 44}, {43, 46}, {45, 48}, {47, 51}, {49, 52}, {1, 39},  {2, 4},
     {3, 6},   {9, 12},  {11, 13}, {14, 52}, {16, 24}, {18, 20}, {19, 22},
     {29, 37}, {31, 34}, {33, 35}, {40, 42}, {41, 44}, {47, 50}, {49, 51},
     {1, 17},  {2, 40},  {3, 5},   {6, 8},   {7, 9},   {10, 12}, {13, 51},
     {18, 26}, {19, 21}, {22, 30}, {23, 31}, {27, 35}, {32, 34}, {36, 52},
     {41, 43}, {44, 46}, {45, 47}, {48, 50}, {2, 18},  {3, 4},   {5, 6},
     {7, 8},   {9, 10},  {11, 12}, {13, 27}, {19, 20}, {21, 22}, {23, 30},
     {26, 40}, {31, 32}, {33, 34}, {35, 51}, {41, 42}, {43, 44}, {45, 46},
     {47, 48}, {49, 50}, {2, 24},  {3, 41},  {4, 42},  {5, 43},  {6, 7},
     {8, 9},   {10, 48}, {11, 49}, {12, 50}, {13, 39}, {14, 40}, {18, 26},
     {19, 25}, {22, 23}, {27, 35}, {28, 34}, {29, 51}, {30, 31}, {44, 45},
     {46, 47}, {3, 19},  {4, 20},  {6, 44},  {7, 45},  {8, 46},  {9, 47},
     {10, 32}, {12, 28}, {13, 17}, {15, 23}, {21, 43}, {25, 41}, {30, 38},
     {33, 49}, {34, 50}, {36, 40}, {1, 3},   {4, 12},  {6, 22},  {7, 15},
     {8, 30},  {9, 17},  {10, 26}, {11, 33}, {14, 32}, {19, 25}, {20, 42},
     {21, 39}, {23, 45}, {27, 43}, {28, 34}, {31, 47}, {36, 44}, {38, 46},
     {41, 49}, {50, 52}, {1, 16},  {3, 13},  {5, 21},  {6, 18},  {7, 19},
     {8, 24},  {11, 25}, {12, 20}, {14, 26}, {15, 23}, {17, 31}, {22, 36},
     {27, 39}, {28, 42}, {29, 45}, {30, 38}, {32, 48}, {33, 41}, {34, 46},
     {35, 47}, {37, 52}, {40, 50}, {4, 16},  {5, 13},  {10, 18}, {11, 19},
     {14, 22}, {17, 21}, {20, 28}, {23, 29}, {24, 30}, {25, 33}, {31, 39},
     {32, 36}, {34, 42}, {35, 43}, {37, 49}, {40, 48}, {2, 4},   {8, 16},
     {9, 17},  {12, 24}, {15, 25}, {20, 30}, {21, 27}, {23, 33}, {26, 32},
     {28, 38}, {29, 41}, {36, 44}, {37, 45}, {49, 51}, {3, 8},   {9, 13},
     {12, 16}, {14, 20}, {15, 17}, {18, 24}, {19, 21}, {22, 28}, {23, 27},
     {25, 31}, {26, 30}, {29, 35}, {32, 34}, {33, 39}, {36, 38}, {37, 41},
     {40, 44}, {45, 50}, {3, 4},   {6, 12},  {7, 9},   {10, 16}, {11, 13},
     {14, 18}, {15, 19}, {17, 21}, {20, 24}, {22, 26}, {23, 25}, {27, 31},
     {28, 30}, {29, 33}, {32, 36}, {34, 38}, {35, 39}, {37, 43}, {40, 42},
     {41, 47}, {44, 46}, {49, 50}, {5, 7},   {6, 8},   {9, 11},  {10, 12},
     {13, 15}, {14, 16}, {17, 19}, {18, 20}, {21, 23}, {22, 24}, {25, 27},
     {26, 28}, {29, 31}, {30, 32}, {33, 35}, {34, 36}, {37, 39}, {38, 40},
     {41, 43}, {42, 44}, {45, 47}, {46, 48}, {5, 8},   {7, 10},  {9, 12},
     {11, 14}, {13, 16}, {15, 18}, {17, 20}, {19, 22}, {21, 24}, {23, 26},
     {25, 28}, {27, 30}, {29, 32}, {31, 34}, {33, 36}, {35, 38}, {37, 40},
     {39, 42}, {41, 44}, {43, 46}, {45, 48}, {5, 6},   {7, 8},   {9, 10},
     {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24},
     {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34}, {35, 36}, {37, 38},
     {39, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 48}, {1, 12},  {2, 13},
     {3, 14},  {4, 8},   {5, 6},   {7, 11},  {9, 10},  {15, 18}, {16, 37},
     {17, 36}, {19, 38}, {20, 32}, {21, 22}, {23, 35}, {24, 26}, {25, 27},
     {28, 30}, {29, 31}, {33, 34}, {39, 42}, {40, 53}, {41, 52}, {43, 54},
     {44, 48}, {45, 46}, {47, 51}, {49, 50}, {0, 5},   {1, 7},   {2, 9},
     {3, 4},   {8, 14},  {10, 13}, {11, 12}, {15, 33}, {16, 21}, {17, 23},
     {18, 34}, {19, 20}, {22, 37}, {24, 28}, {25, 29}, {26, 30}, {27, 31},
     {32, 38}, {35, 36}, {39, 49}, {40, 45}, {41, 47}, {42, 50}, {43, 44},
     {46, 53}, {48, 54}, {51, 52}, {0, 1},   {2, 3},   {4, 5},   {6, 8},
     {7, 9},   {10, 11}, {13, 14}, {15, 19}, {16, 17}, {18, 35}, {20, 21},
     {22, 32}, {23, 33}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {34, 38},
     {36, 37}, {39, 43}, {40, 41}, {42, 51}, {44, 45}, {46, 48}, {47, 49},
     {50, 54}, {52, 53}, {0, 2},   {1, 3},   {4, 10},  {5, 11},  {6, 7},
     {8, 9},   {12, 13}, {15, 16}, {17, 19}, {18, 20}, {21, 35}, {22, 23},
     {26, 28}, {27, 29}, {32, 33}, {34, 36}, {37, 38}, {39, 40}, {41, 43},
     {42, 44}, {45, 51}, {46, 47}, {48, 49}, {50, 52}, {53, 54}, {0, 24},
     {1, 2},   {3, 12},  {4, 6},   {5, 7},   {8, 10},  {9, 11},  {13, 14},
     {15, 39}, {16, 17}, {18, 22}, {19, 34}, {20, 32}, {21, 23}, {25, 28},
     {27, 30}, {31, 54}, {33, 35}, {36, 37}, {40, 41}, {42, 46}, {43, 50},
     {44, 48}, {45, 47}, {49, 51}, {52, 53}, {0, 15},  {1, 4},   {2, 6},
     {5, 8},   {7, 10},  {9, 13},  {11, 14}, {16, 18}, {17, 22}, {20, 21},
     {23, 32}, {24, 39}, {25, 26}, {27, 28}, {29, 30}, {31, 38}, {33, 36},
     {35, 37}, {40, 42}, {41, 46}, {44, 45}, {47, 48}, {49, 52}, {51, 53},
     {1, 16},  {2, 4},   {3, 6},   {9, 12},  {11, 13}, {14, 30}, {15, 24},
     {17, 18}, {19, 22}, {25, 40}, {33, 34}, {35, 36}, {37, 53}, {38, 54},
     {41, 42}, {43, 46}, {49, 50}, {51, 52}, {1, 25},  {2, 26},  {3, 5},
     {6, 8},   {7, 9},   {10, 12}, {13, 36}, {14, 37}, {16, 40}, {17, 41},
     {19, 20}, {21, 22}, {23, 33}, {29, 52}, {30, 53}, {32, 34}, {43, 44},
     {45, 46}, {47, 49}, {48, 50}, {2, 17},  {3, 4},   {5, 6},   {7, 8},
     {9, 10},  {11, 12}, {13, 29}, {16, 25}, {18, 19}, {20, 21}, {22, 23},
     {26, 41}, {30, 37}, {32, 33}, {34, 35}, {36, 52}, {42, 43}, {44, 45},
     {46, 47}, {48, 49}, {50, 51}, {2, 15},  {3, 27},  {4, 43},  {5, 44},
     {6, 7},   {8, 9},   {10, 49}, {11, 50}, {12, 35}, {13, 25}, {17, 26},
     {18, 42}, {21, 22}, {23, 32}, {28, 51}, {29, 36}, {30, 41}, {45, 46},
     {47, 48}, {52, 54}, {3, 18},  {4, 19},  {5, 20},  {6, 21},  {7, 31},
     {8, 23},  {9, 40},  {12, 28}, {14, 45}, {22, 46}, {27, 42}, {32, 48},
     {33, 49}, {34, 50}, {35, 51}, {39, 47}, {5, 13},  {6, 14},  {7, 22},
     {8, 39},  {9, 32},  {10, 33}, {11, 34}, {12, 24}, {18, 27}, {19, 43},
     {20, 44}, {21, 45}, {23, 47}, {28, 35}, {31, 46}, {38, 42}, {40, 48},
     {41, 49}, {4, 12},  {6, 17},  {7, 18},  {8, 15},  {9, 16},  {10, 26},
     {11, 27}, {19, 24}, {20, 25}, {22, 31}, {23, 39}, {28, 43}, {29, 44},
     {30, 33}, {34, 38}, {35, 47}, {36, 48}, {37, 45}, {42, 50}, {46, 52},
     {1, 4},   {3, 9},   {10, 17}, {11, 18}, {12, 19}, {14, 30}, {16, 20},
     {21, 26}, {24, 28}, {25, 40}, {27, 34}, {29, 32}, {33, 37}, {35, 43},
     {36, 44}, {38, 42}, {45, 51}, {50, 53}, {1, 2},   {4, 8},   {5, 9},
     {13, 20}, {14, 21}, {15, 19}, {22, 27}, {23, 24}, {25, 29}, {26, 30},
     {28, 39}, {31, 34}, {32, 40}, {33, 41}, {38, 46}, {45, 49}, {50, 52},
     {53, 54}, {3, 4},   {12, 15}, {13, 16}, {14, 23}, {17, 19}, {18, 25},
     {20, 22}, {21, 26}, {24, 28}, {27, 31}, {29, 32}, {30, 35}, {33, 39},
     {34, 40}, {36, 38}, {37, 41}, {42, 46}, {51, 52}, {4, 8},   {6, 12},
     {7, 13},  {10, 15}, {11, 16}, {14, 17}, {18, 20}, {19, 23}, {21, 24},
     {22, 25}, {26, 28}, {27, 29}, {30, 33}, {31, 32}, {34, 36}, {35, 39},
     {37, 43}, {38, 40}, {41, 47}, {42, 44}, {46, 48}, {50, 51}, {5, 8},
     {7, 10},  {9, 12},  {11, 14}, {13, 15}, {16, 17}, {18, 19}, {20, 21},
     {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 35}, {33, 34},
     {36, 39}, {37, 38}, {40, 43}, {41, 42}, {44, 47}, {45, 46}, {49, 50},
     {6, 8},   {7, 9},   {10, 12}, {11, 13}, {14, 15}, {16, 18}, {17, 19},
     {20, 22}, {21, 23}, {24, 26}, {25, 27}, {28, 30}, {29, 31}, {32, 33},
     {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47},
     {48, 49}, {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16},
     {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30},
     {31, 32}, {33, 34}, {35, 36}, {37, 38}, {39, 40}, {41, 42}, {43, 44},
     {45, 46}, {47, 48}, {49, 50}, {0, 13},  {1, 12},  {2, 15},  {3, 14},
     {4, 8},   {5, 6},   {7, 11},  {9, 10},  {16, 37}, {17, 36}, {18, 39},
     {19, 38}, {20, 32}, {21, 22}, {23, 35}, {24, 26}, {25, 27}, {28, 30},
     {29, 31}, {33, 34}, {40, 53}, {41, 52}, {42, 55}, {43, 54}, {44, 48},
     {45, 46}, {47, 51}, {49, 50}, {0, 5},   {1, 7},   {2, 9},   {3, 4},
     {6, 13},  {8, 14},  {10, 15}, {11, 12}, {16, 21}, {17, 23}, {18, 33},
     {19, 20}, {22, 37}, {24, 28}, {25, 29}, {26, 30}, {27, 31}, {32, 38},
     {34, 39}, {35, 36}, {40, 45}, {41, 47}, {42, 49}, {43, 44}, {46, 53},
     {48, 54}, {50, 55}, {51, 52}, {0, 1},   {2, 3},   {4, 5},   {6, 8},
     {7, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21},
     {22, 32}, {23, 33}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {34, 35},
     {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 48}, {47, 49},
     {50, 51}, {52, 53}, {54, 55}, {0, 2},   {1, 3},   {4, 10},  {5, 11},
     {6, 7},   {8, 9},   {12, 14}, {13, 15}, {16, 18}, {17, 19}, {20, 34},
     {21, 35}, {22, 23}, {26, 28}, {27, 29}, {32, 33}, {36, 38}, {37, 39},
     {40, 42}, {41, 43}, {44, 50}, {45, 51}, {46, 47}, {48, 49}, {52, 54},
     {53, 55}, {0, 24},  {1, 2},   {3, 12},  {4, 6},   {5, 7},   {8, 10},
     {9, 11},  {13, 14}, {15, 39}, {16, 40}, {17, 18}, {19, 36}, {20, 22},
     {21, 23}, {25, 28}, {27, 30}, {31, 55}, {32, 34}, {33, 35}, {37, 38},
     {41, 42}, {43, 52}, {44, 46}, {45, 47}, {48, 50}, {49, 51}, {53, 54},
     {0, 16},  {1, 4},   {2, 6},   {5, 8},   {7, 10},  {9, 13},  {11, 14},
     {15, 31}, {17, 20}, {18, 22}, {21, 32}, {23, 34}, {24, 40}, {25, 26},
     {27, 28}, {29, 30}, {33, 37}, {35, 38}, {39, 55}, {41, 44}, {42, 46},
     {45, 48}, {47, 50}, {49, 53}, {51, 54}, {1, 17},  {2, 4},   {3, 6},
     {9, 12},  {11, 13}, {14, 30}, {16, 24}, {18, 20}, {19, 22}, {25, 41},
     {31, 39}, {33, 36}, {35, 37}, {38, 54}, {42, 44}, {43, 46}, {49, 52},
     {51, 53}, {1, 25},  {2, 26},  {3, 5},   {6, 8},   {7, 9},   {10, 12},
     {13, 37}, {14, 38}, {17, 41}, {18, 42}, {19, 21}, {22, 32}, {23, 33},
     {29, 53}, {30, 54}, {34, 36}, {43, 45}, {46, 48}, {47, 49}, {50, 52},
     {2, 18},  {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 29},
     {17, 25}, {19, 20}, {21, 22}, {23, 32}, {26, 42}, {30, 38}, {33, 34},
     {35, 36}, {37, 53}, {43, 44}, {45, 46}, {47, 48}, {49, 50}, {51, 52},
     {2, 16},  {3, 27},  {4, 44},  {5, 45},  {6, 7},   {8, 9},   {10, 50},
     {11, 51}, {12, 36}, {13, 25}, {18, 26}, {19, 43}, {22, 23}, {28, 52},
     {29, 37}, {30, 42}, {32, 33}, {39, 53}, {46, 47}, {48, 49}, {3, 19},
     {4, 20},  {5, 21},  {6, 22},  {7, 15},  {8, 32},  {9, 41},  {12, 28},
     {14, 46}, {23, 47}, {27, 43}, {33, 49}, {34, 50}, {35, 51}, {36, 52},
     {40, 48}, {5, 13},  {6, 14},  {7, 23},  {8, 40},  {9, 33},  {10, 34},
     {11, 35}, {12, 24}, {15, 47}, {19, 27}, {20, 44}, {21, 45}, {22, 46},
     {28, 36}, {31, 43}, {32, 48}, {41, 49}, {42, 50}, {4, 12},  {6, 18},
     {7, 19},  {8, 16},  {9, 17},  {10, 26}, {11, 27}, {15, 23}, {20, 24},
     {21, 25}, {28, 44}, {29, 45}, {30, 34}, {31, 35}, {32, 40}, {36, 48},
     {37, 49}, {38, 46}, {39, 47}, {43, 51}, {1, 4},   {3, 9},   {10, 18},
     {11, 19}, {12, 20}, {14, 30}, {17, 21}, {22, 26}, {24, 28}, {25, 41},
     {27, 31}, {29, 33}, {34, 38}, {35, 43}, {36, 44}, {37, 45}, {46, 52},
     {51, 54}, {1, 2},   {4, 8},   {5, 9},   {13, 21}, {14, 22}, {15, 27},
     {16, 20}, {23, 31}, {24, 32}, {25, 29}, {26, 30}, {28, 40}, {33, 41},
     {34, 42}, {35, 39}, {46, 50}, {47, 51}, {53, 54}, {3, 4},   {12, 16},
     {13, 17}, {14, 24}, {15, 21}, {18, 20}, {19, 25}, {22, 26}, {23, 27},
     {28, 32}, {29, 33}, {30, 36}, {31, 41}, {34, 40}, {35, 37}, {38, 42},
     {39, 43}, {51, 52}, {4, 8},   {6, 12},  {7, 13},  {10, 16}, {11, 17},
     {14, 18}, {15, 19}, {20, 24}, {21, 25}, {22, 28}, {23, 29}, {26, 32},
     {27, 33}, {30, 34}, {31, 35}, {36, 40}, {37, 41}, {38, 44}, {39, 45},
     {42, 48}, {43, 49}, {47, 51}, {5, 8},   {7, 10},  {9, 12},  {11, 14},
     {13, 16}, {15, 20}, {17, 18}, {19, 22}, {21, 24}, {23, 26}, {25, 28},
     {27, 30}, {29, 32}, {31, 34}, {33, 36}, {35, 40}, {37, 38}, {39, 42},
     {41, 44}, {43, 46}, {45, 48}, {47, 50}, {6, 8},   {7, 9},   {10, 12},
     {11, 13}, {14, 16}, {15, 17}, {18, 20}, {19, 21}, {22, 24}, {23, 25},
     {26, 28}, {27, 29}, {30, 32}, {31, 33}, {34, 36}, {35, 37}, {38, 40},
     {39, 41}, {42, 44}, {43, 45}, {46, 48}, {47, 49}, {5, 6},   {7, 8},
     {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22},
     {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34}, {35, 36},
     {37, 38}, {39, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 48}, {49, 50},
     {0, 8},   {1, 7},   {2, 6},   {3, 11},  {4, 10},  {5, 9},   {12, 24},
     {13, 22}, {14, 21}, {15, 19}, {17, 23}, {18, 20}, {25, 38}, {26, 37},
     {27, 40}, {28, 39}, {29, 33}, {30, 31}, {32, 36}, {34, 35}, {41, 54},
     {42, 53}, {43, 56}, {44, 55}, {45, 49}, {46, 47}, {48, 52}, {50, 51},
     {0, 1},   {2, 5},   {3, 4},   {6, 9},   {7, 8},   {10, 11}, {13, 18},
     {14, 15}, {16, 23}, {19, 21}, {20, 22}, {25, 30}, {26, 32}, {27, 34},
     {28, 29}, {31, 38}, {33, 39}, {35, 40}, {36, 37}, {41, 46}, {42, 48},
     {43, 50}, {44, 45}, {47, 54}, {49, 55}, {51, 56}, {52, 53}, {0, 2},
     {1, 6},   {5, 10},  {9, 11},  {12, 16}, {13, 14}, {15, 18}, {19, 20},
     {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 33}, {32, 34},
     {35, 36}, {37, 38}, {39, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 49},
     {48, 50}, {51, 52}, {53, 54}, {55, 56}, {0, 3},   {1, 2},   {4, 6},
     {5, 7},   {8, 11},  {9, 10},  {16, 18}, {17, 21}, {20, 23}, {22, 24},
     {25, 27}, {26, 28}, {29, 35}, {30, 36}, {31, 32}, {33, 34}, {37, 39},
     {38, 40}, {41, 43}, {42, 44}, {45, 51}, {46, 52}, {47, 48}, {49, 50},
     {53, 55}, {54, 56}, {1, 4},   {3, 5},   {6, 8},   {7, 10},  {12, 17},
     {15, 20}, {16, 19}, {18, 23}, {21, 22}, {26, 27}, {28, 37}, {29, 31},
     {30, 32}, {33, 35}, {34, 36}, {38, 39}, {40, 56}, {42, 43}, {44, 53},
     {45, 47}, {46, 48}, {49, 51}, {50, 52}, {54, 55}, {1, 3},   {2, 5},
     {6, 9},   {8, 10},  {12, 13}, {14, 17}, {18, 21}, {19, 20}, {22, 23},
     {26, 29}, {27, 31}, {30, 33}, {32, 35}, {34, 38}, {36, 39}, {42, 45},
     {43, 47}, {46, 49}, {48, 51}, {50, 54}, {52, 55}, {1, 26},  {2, 3},
     {4, 5},   {6, 7},   {8, 9},   {11, 23}, {12, 41}, {13, 15}, {14, 16},
     {17, 18}, {21, 22}, {27, 29}, {28, 31}, {34, 37}, {36, 38}, {39, 55},
     {43, 45}, {44, 47}, {50, 53}, {52, 54}, {2, 27},  {4, 6},   {5, 7},
     {10, 22}, {12, 25}, {13, 14}, {15, 16}, {17, 19}, {18, 20}, {23, 56},
     {28, 30}, {31, 33}, {32, 34}, {35, 37}, {38, 54}, {44, 46}, {47, 49},
     {48, 50}, {51, 53}, {3, 4},   {5, 6},   {7, 8},   {13, 42}, {14, 15},
     {16, 17}, {18, 19}, {20, 21}, {22, 55}, {28, 29}, {30, 31}, {32, 33},
     {34, 35}, {36, 37}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53},
     {0, 29},  {1, 13},  {3, 28},  {7, 19},  {8, 24},  {9, 21},  {14, 43},
     {15, 16}, {17, 18}, {26, 42}, {30, 46}, {31, 32}, {33, 34}, {35, 51},
     {36, 52}, {37, 53}, {47, 48}, {49, 50}, {2, 14},  {4, 33},  {5, 17},
     {6, 18},  {8, 37},  {10, 51}, {11, 52}, {13, 26}, {15, 44}, {16, 45},
     {19, 40}, {20, 49}, {21, 54}, {24, 53}, {27, 43}, {31, 47}, {32, 48},
     {34, 50}, {0, 16},  {3, 15},  {4, 41},  {5, 30},  {6, 31},  {7, 32},
     {9, 50},  {10, 35}, {11, 36}, {14, 27}, {17, 38}, {18, 39}, {20, 25},
     {23, 40}, {24, 37}, {28, 44}, {29, 45}, {33, 49}, {0, 12},  {4, 20},
     {5, 13},  {6, 14},  {8, 29},  {9, 34},  {10, 27}, {15, 28}, {21, 38},
     {22, 39}, {24, 45}, {30, 46}, {31, 47}, {32, 48}, {33, 41}, {35, 43},
     {36, 44}, {37, 49}, {40, 52}, {4, 12},  {7, 15},  {9, 26},  {10, 14},
     {11, 28}, {16, 29}, {17, 30}, {18, 31}, {19, 32}, {21, 46}, {22, 47},
     {23, 48}, {25, 33}, {27, 35}, {34, 42}, {37, 45}, {38, 50}, {39, 51},
     {40, 44}, {52, 55}, {1, 4},   {8, 16},  {9, 13},  {11, 15}, {18, 27},
     {20, 25}, {21, 30}, {22, 31}, {23, 32}, {24, 29}, {26, 34}, {28, 36},
     {33, 41}, {38, 42}, {39, 43}, {44, 48}, {51, 53}, {3, 9},   {8, 20},
     {14, 18}, {16, 25}, {17, 26}, {19, 28}, {21, 34}, {22, 35}, {23, 36},
     {24, 33}, {29, 41}, {30, 38}, {31, 39}, {32, 40}, {42, 46}, {43, 47},
     {48, 54}, {53, 55}, {8, 12},  {13, 17}, {15, 19}, {16, 20}, {21, 26},
     {22, 27}, {23, 28}, {24, 25}, {29, 33}, {30, 34}, {31, 35}, {32, 36},
     {37, 41}, {38, 42}, {39, 43}, {40, 44}, {47, 49}, {48, 51}, {53, 54},
     {55, 56}, {2, 8},   {6, 12},  {7, 13},  {10, 16}, {11, 17}, {14, 20},
     {15, 21}, {18, 24}, {19, 26}, {22, 25}, {23, 30}, {27, 29}, {28, 34},
     {31, 33}, {32, 38}, {35, 37}, {36, 42}, {39, 41}, {40, 46}, {43, 45},
     {44, 50}, {52, 53}, {2, 4},   {3, 8},   {5, 6},   {7, 10},  {9, 12},
     {11, 14}, {13, 16}, {15, 20}, {17, 18}, {19, 21}, {22, 24}, {23, 27},
     {25, 26}, {28, 31}, {29, 30}, {32, 34}, {33, 35}, {36, 37}, {38, 39},
     {40, 41}, {42, 43}, {44, 47}, {45, 46}, {49, 50}, {53, 54}, {3, 5},
     {6, 8},   {7, 9},   {10, 12}, {11, 13}, {14, 16}, {15, 17}, {18, 20},
     {19, 22}, {21, 24}, {23, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33},
     {34, 35}, {36, 38}, {37, 39}, {40, 42}, {41, 43}, {44, 45}, {46, 47},
     {48, 49}, {50, 51}, {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12},
     {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26},
     {27, 28}, {29, 30}, {31, 32}, {33, 34}, {35, 36}, {37, 38}, {39, 40},
     {41, 42}, {43, 44}, {45, 46}, {47, 48}, {49, 50}, {51, 52}, {0, 8},
     {1, 9},   {2, 7},   {3, 5},   {4, 6},   {10, 23}, {11, 22}, {12, 25},
     {13, 24}, {14, 18}, {15, 16}, {17, 21}, {19, 20}, {26, 39}, {27, 38},
     {28, 41}, {29, 40}, {30, 34}, {31, 32}, {33, 37}, {35, 36}, {42, 55},
     {43, 54}, {44, 57}, {45, 56}, {46, 50}, {47, 48}, {49, 53}, {51, 52},
     {0, 2},   {1, 4},   {5, 8},   {7, 9},   {10, 15}, {11, 17}, {12, 19},
     {13, 14}, {16, 23}, {18, 24}, {20, 25}, {21, 22}, {26, 31}, {27, 33},
     {28, 35}, {29, 30}, {32, 39}, {34, 40}, {36, 41}, {37, 38}, {42, 47},
     {43, 49}, {44, 51}, {45, 46}, {48, 55}, {50, 56}, {52, 57}, {53, 54},
     {0, 3},   {2, 4},   {5, 7},   {6, 9},   {10, 11}, {12, 13}, {14, 15},
     {16, 18}, {17, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29},
     {30, 31}, {32, 34}, {33, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43},
     {44, 45}, {46, 47}, {48, 50}, {49, 51}, {52, 53}, {54, 55}, {56, 57},
     {0, 1},   {3, 6},   {8, 9},   {10, 12}, {11, 13}, {14, 20}, {15, 21},
     {16, 17}, {18, 19}, {22, 24}, {23, 25}, {26, 28}, {27, 29}, {30, 36},
     {31, 37}, {32, 33}, {34, 35}, {38, 40}, {39, 41}, {42, 44}, {43, 45},
     {46, 52}, {47, 53}, {48, 49}, {50, 51}, {54, 56}, {55, 57}, {1, 5},
     {2, 3},   {4, 8},   {6, 7},   {10, 42}, {11, 12}, {13, 22}, {14, 16},
     {15, 17}, {18, 20}, {19, 21}, {23, 24}, {25, 41}, {27, 28}, {29, 38},
     {30, 32}, {31, 33}, {34, 36}, {35, 37}, {39, 40}, {43, 44}, {45, 54},
     {46, 48}, {47, 49}, {50, 52}, {51, 53}, {55, 56}, {1, 2},   {3, 5},
     {4, 6},   {7, 8},   {10, 26}, {11, 14}, {12, 16}, {15, 18}, {17, 20},
     {19, 23}, {21, 24}, {27, 30}, {28, 32}, {31, 34}, {33, 36}, {35, 39},
     {37, 40}, {43, 46}, {44, 48}, {47, 50}, {49, 52}, {51, 55}, {53, 56},
     {2, 3},   {4, 5},   {6, 7},   {11, 43}, {12, 14}, {13, 16}, {19, 22},
     {21, 23}, {24, 40}, {28, 30}, {29, 32}, {35, 38}, {37, 39}, {44, 46},
     {45, 48}, {51, 54}, {53, 55}, {2, 12},  {3, 4},   {5, 6},   {7, 57},
     {9, 23},  {11, 27}, {13, 15}, {16, 18}, {17, 19}, {20, 22}, {28, 44},
     {29, 31}, {32, 34}, {33, 35}, {36, 38}, {39, 55}, {45, 47}, {48, 50},
     {49, 51}, {52, 54}, {2, 28},  {6, 56},  {7, 25},  {9, 39},  {13, 14},
     {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 55}, {29, 30}, {31, 32},
     {33, 34}, {35, 36}, {37, 38}, {41, 57}, {45, 46}, {47, 48}, {49, 50},
     {51, 52}, {53, 54}, {0, 30},  {1, 31},  {3, 13},  {6, 24},  {8, 22},
     {12, 20}, {14, 46}, {15, 47}, {16, 17}, {18, 19}, {23, 39}, {25, 41},
     {29, 45}, {32, 33}, {34, 35}, {36, 52}, {37, 53}, {38, 54}, {40, 56},
     {48, 49}, {50, 51}, {55, 57}, {0, 14},  {1, 15},  {3, 29},  {4, 34},
     {5, 35},  {6, 16},  {7, 17},  {8, 38},  {12, 44}, {13, 21}, {18, 50},
     {19, 51}, {20, 52}, {22, 54}, {24, 40}, {30, 46}, {31, 47}, {32, 48},
     {33, 49}, {0, 10},  {1, 11},  {4, 42},  {5, 43},  {6, 32},  {7, 33},
     {8, 30},  {9, 31},  {12, 28}, {13, 45}, {16, 48}, {17, 49}, {18, 26},
     {19, 27}, {20, 36}, {21, 53}, {22, 38}, {23, 47}, {34, 50}, {35, 51},
     {40, 52}, {4, 18},  {5, 19},  {6, 12},  {13, 29}, {14, 30}, {15, 31},
     {16, 32}, {17, 33}, {20, 28}, {21, 37}, {22, 46}, {24, 48}, {25, 49},
     {34, 42}, {35, 43}, {36, 44}, {38, 50}, {39, 51}, {41, 53}, {52, 54},
     {4, 10},  {5, 11},  {7, 13},  {8, 14},  {9, 15},  {12, 20}, {21, 29},
     {22, 30}, {23, 31}, {24, 32}, {25, 33}, {26, 34}, {27, 35}, {28, 36},
     {37, 45}, {38, 46}, {39, 47}, {40, 48}, {41, 49}, {53, 56}, {1, 4},
     {13, 21}, {16, 28}, {18, 26}, {19, 27}, {24, 36}, {29, 37}, {32, 44},
     {33, 45}, {34, 42}, {35, 43}, {48, 50}, {49, 51}, {8, 18},  {9, 19},
     {14, 26}, {15, 27}, {16, 20}, {17, 29}, {22, 34}, {23, 35}, {24, 28},
     {25, 37}, {30, 42}, {31, 43}, {32, 36}, {40, 44}, {41, 45}, {49, 52},
     {51, 54}, {8, 10},  {9, 11},  {14, 18}, {15, 19}, {17, 21}, {22, 26},
     {23, 27}, {25, 29}, {30, 34}, {31, 35}, {33, 37}, {38, 42}, {39, 43},
     {44, 46}, {45, 47}, {54, 55}, {2, 8},   {3, 9},   {6, 10},  {7, 11},
     {12, 14}, {13, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 26},
     {25, 27}, {28, 30}, {29, 31}, {32, 34}, {33, 35}, {36, 38}, {37, 39},
     {40, 42}, {41, 43}, {45, 46}, {47, 50}, {53, 54}, {55, 56}, {2, 4},
     {3, 8},   {5, 6},   {7, 12},  {9, 10},  {11, 14}, {13, 16}, {15, 20},
     {17, 18}, {19, 24}, {21, 22}, {23, 28}, {25, 26}, {27, 29}, {30, 32},
     {31, 34}, {33, 36}, {35, 38}, {37, 40}, {39, 42}, {41, 44}, {43, 48},
     {49, 50}, {51, 53}, {54, 55}, {3, 5},   {6, 8},   {7, 9},   {10, 12},
     {11, 13}, {14, 16}, {15, 17}, {18, 20}, {19, 21}, {22, 24}, {23, 25},
     {26, 28}, {27, 30}, {29, 32}, {31, 33}, {34, 36}, {35, 37}, {38, 40},
     {39, 41}, {42, 44}, {43, 45}, {46, 48}, {47, 49}, {50, 52}, {3, 4},
     {5, 6},   {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18},
     {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32},
     {33, 34}, {35, 36}, {37, 38}, {39, 40}, {41, 42}, {43, 44}, {45, 46},
     {47, 48}, {51, 52}, {0, 9},   {1, 6},   {2, 4},   {3, 7},   {5, 8},
     {11, 24}, {12, 23}, {13, 26}, {14, 25}, {15, 19}, {16, 17}, {18, 22},
     {20, 21}, {27, 40}, {28, 39}, {29, 42}, {30, 41}, {31, 35}, {32, 33},
     {34, 38}, {36, 37}, {43, 56}, {44, 55}, {45, 58}, {46, 57}, {47, 51},
     {48, 49}, {50, 54}, {52, 53}, {0, 1},   {3, 5},   {4, 10},  {6, 9},
     {7, 8},   {11, 16}, {12, 18}, {13, 20}, {14, 15}, {17, 24}, {19, 25},
     {21, 26}, {22, 23}, {27, 32}, {28, 34}, {29, 36}, {30, 31}, {33, 40},
     {35, 41}, {37, 42}, {38, 39}, {43, 48}, {44, 50}, {45, 52}, {46, 47},
     {49, 56}, {51, 57}, {53, 58}, {54, 55}, {1, 3},   {2, 5},   {4, 7},
     {8, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 19}, {18, 20}, {21, 22},
     {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 35}, {34, 36},
     {37, 38}, {39, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 48}, {49, 51},
     {50, 52}, {53, 54}, {55, 56}, {57, 58}, {0, 4},   {1, 2},   {3, 7},
     {5, 9},   {6, 8},   {11, 13}, {12, 14}, {15, 21}, {16, 22}, {17, 18},
     {19, 20}, {23, 25}, {24, 26}, {27, 29}, {28, 30}, {31, 37}, {32, 38},
     {33, 34}, {35, 36}, {39, 41}, {40, 42}, {43, 45}, {44, 46}, {47, 53},
     {48, 54}, {49, 50}, {51, 52}, {55, 57}, {56, 58}, {0, 1},   {2, 6},
     {4, 5},   {7, 8},   {9, 10},  {11, 43}, {12, 13}, {14, 23}, {15, 17},
     {16, 18}, {19, 21}, {20, 22}, {24, 25}, {26, 42}, {28, 29}, {30, 39},
     {31, 33}, {32, 34}, {35, 37}, {36, 38}, {40, 41}, {44, 45}, {46, 55},
     {47, 49}, {48, 50}, {51, 53}, {52, 54}, {56, 57}, {2, 4},   {3, 6},
     {5, 7},   {8, 9},   {11, 27}, {12, 15}, {13, 17}, {16, 19}, {18, 21},
     {20, 24}, {22, 25}, {28, 31}, {29, 33}, {32, 35}, {34, 37}, {36, 40},
     {38, 41}, {44, 47}, {45, 49}, {48, 51}, {50, 53}, {52, 56}, {54, 57},
     {1, 2},   {3, 4},   {5, 6},   {7, 8},   {10, 25}, {12, 44}, {13, 15},
     {14, 17}, {20, 23}, {22, 24}, {29, 31}, {30, 33}, {36, 39}, {38, 40},
     {41, 57}, {45, 47}, {46, 49}, {52, 55}, {54, 56}, {2, 3},   {4, 5},
     {6, 7},   {9, 24},  {10, 41}, {12, 28}, {13, 45}, {14, 16}, {17, 19},
     {18, 20}, {21, 23}, {25, 57}, {30, 32}, {33, 35}, {34, 36}, {37, 39},
     {40, 56}, {46, 48}, {49, 51}, {50, 52}, {53, 55}, {7, 58},  {9, 40},
     {13, 29}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 56},
     {25, 41}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {46, 47},
     {48, 49}, {50, 51}, {52, 53}, {54, 55}, {0, 31},  {1, 32},  {3, 14},
     {6, 37},  {7, 26},  {8, 23},  {15, 47}, {16, 48}, {17, 18}, {19, 20},
     {21, 53}, {24, 40}, {30, 46}, {33, 34}, {35, 36}, {38, 54}, {39, 55},
     {42, 58}, {49, 50}, {51, 52}, {0, 15},  {1, 16},  {2, 33},  {3, 30},
     {4, 35},  {5, 36},  {6, 45},  {7, 18},  {8, 39},  {14, 22}, {17, 49},
     {19, 51}, {20, 52}, {21, 29}, {23, 55}, {26, 42}, {31, 47}, {32, 48},
     {34, 50}, {37, 53}, {57, 58}, {0, 11},  {1, 12},  {2, 17},  {4, 43},
     {5, 44},  {6, 21},  {7, 34},  {8, 31},  {9, 32},  {14, 46}, {18, 50},
     {19, 27}, {20, 28}, {22, 54}, {23, 39}, {24, 48}, {33, 49}, {35, 51},
     {36, 52}, {37, 45}, {41, 53}, {2, 13},  {4, 19},  {5, 20},  {10, 33},
     {14, 30}, {15, 31}, {16, 32}, {18, 34}, {22, 38}, {23, 47}, {25, 49},
     {26, 50}, {29, 37}, {35, 43}, {36, 44}, {39, 51}, {40, 52}, {42, 54},
     {4, 11},  {5, 12},  {6, 13},  {7, 14},  {8, 15},  {9, 16},  {17, 33},
     {21, 29}, {22, 30}, {23, 31}, {24, 32}, {26, 34}, {27, 35}, {28, 36},
     {37, 45}, {38, 46}, {39, 47}, {40, 48}, {41, 49}, {42, 50}, {54, 56},
     {1, 4},   {10, 17}, {14, 22}, {19, 27}, {20, 28}, {25, 33}, {30, 38},
     {34, 46}, {35, 43}, {36, 44}, {49, 55}, {50, 53}, {56, 57}, {8, 19},
     {9, 20},  {10, 21}, {15, 27}, {16, 28}, {17, 29}, {18, 30}, {23, 35},
     {24, 36}, {25, 37}, {26, 38}, {31, 43}, {32, 44}, {33, 45}, {42, 46},
     {50, 52}, {54, 55}, {8, 11},  {9, 12},  {10, 13}, {15, 19}, {16, 20},
     {17, 21}, {18, 22}, {23, 27}, {24, 28}, {25, 29}, {26, 30}, {31, 35},
     {32, 36}, {33, 37}, {34, 38}, {39, 43}, {40, 44}, {41, 45}, {46, 48},
     {52, 54}, {53, 55}, {2, 8},   {3, 9},   {6, 11},  {7, 12},  {10, 15},
     {13, 19}, {14, 16}, {17, 23}, {18, 20}, {21, 27}, {22, 24}, {25, 31},
     {26, 28}, {29, 35}, {30, 32}, {33, 39}, {34, 36}, {37, 43}, {38, 40},
     {41, 47}, {42, 44}, {45, 51}, {48, 50}, {53, 54}, {55, 56}, {2, 4},
     {3, 5},   {6, 8},   {7, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 19},
     {17, 18}, {20, 22}, {21, 23}, {24, 27}, {25, 26}, {28, 31}, {29, 30},
     {32, 35}, {33, 34}, {36, 39}, {37, 38}, {40, 42}, {41, 43}, {44, 45},
     {46, 47}, {49, 51}, {3, 6},   {5, 8},   {7, 10},  {9, 11},  {12, 14},
     {13, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27},
     {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41},
     {42, 43}, {44, 46}, {45, 47}, {48, 49}, {50, 51}, {3, 4},   {5, 6},
     {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20},
     {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34},
     {35, 36}, {37, 38}, {39, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 48},
     {49, 50}, {51, 52}, {1, 2},   {3, 10},  {4, 14},  {5, 8},   {6, 13},
     {7, 12},  {9, 11},  {16, 17}, {18, 25}, {19, 29}, {20, 23}, {21, 28},
     {22, 27}, {24, 26}, {31, 32}, {33, 40}, {34, 44}, {35, 38}, {36, 43},
     {37, 42}, {39, 41}, {46, 47}, {48, 55}, {49, 59}, {50, 53}, {51, 58},
     {52, 57}, {54, 56}, {0, 14},  {1, 5},   {2, 8},   {3, 7},   {6, 9},
     {10, 12}, {11, 13}, {15, 29}, {16, 20}, {17, 23}, {18, 22}, {21, 24},
     {25, 27}, {26, 28}, {30, 44}, {31, 35}, {32, 38}, {33, 37}, {36, 39},
     {40, 42}, {41, 43}, {45, 59}, {46, 50}, {47, 53}, {48, 52}, {51, 54},
     {55, 57}, {56, 58}, {0, 7},   {1, 6},   {2, 9},   {4, 10},  {5, 11},
     {8, 13},  {12, 14}, {15, 22}, {16, 21}, {17, 24}, {19, 25}, {20, 26},
     {23, 28}, {27, 29}, {30, 37}, {31, 36}, {32, 39}, {34, 40}, {35, 41},
     {38, 43}, {42, 44}, {45, 52}, {46, 51}, {47, 54}, {49, 55}, {50, 56},
     {53, 58}, {57, 59}, {0, 6},   {2, 4},   {3, 5},   {7, 11},  {8, 10},
     {9, 12},  {13, 14}, {15, 21}, {17, 19}, {18, 20}, {22, 26}, {23, 25},
     {24, 27}, {28, 29}, {30, 36}, {32, 34}, {33, 35}, {37, 41}, {38, 40},
     {39, 42}, {43, 44}, {45, 51}, {47, 49}, {48, 50}, {52, 56}, {53, 55},
     {54, 57}, {58, 59}, {0, 3},   {1, 2},   {4, 7},   {5, 9},   {6, 8},
     {10, 11}, {12, 13}, {14, 59}, {15, 18}, {16, 17}, {19, 22}, {20, 24},
     {21, 23}, {25, 26}, {27, 28}, {29, 44}, {30, 33}, {31, 32}, {34, 37},
     {35, 39}, {36, 38}, {40, 41}, {42, 43}, {45, 48}, {46, 47}, {49, 52},
     {50, 54}, {51, 53}, {55, 56}, {57, 58}, {0, 1},   {2, 3},   {4, 6},
     {7, 9},   {10, 12}, {11, 13}, {14, 29}, {15, 16}, {17, 18}, {19, 21},
     {22, 24}, {25, 27}, {26, 28}, {30, 31}, {32, 33}, {34, 36}, {37, 39},
     {40, 42}, {41, 43}, {44, 59}, {45, 46}, {47, 48}, {49, 51}, {52, 54},
     {55, 57}, {56, 58}, {0, 30},  {1, 2},   {3, 5},   {8, 10},  {11, 12},
     {13, 58}, {15, 45}, {16, 17}, {18, 20}, {23, 25}, {26, 27}, {28, 43},
     {29, 44}, {31, 32}, {33, 35}, {38, 40}, {41, 42}, {46, 47}, {48, 50},
     {53, 55}, {56, 57}, {0, 15},  {1, 31},  {3, 4},   {5, 6},   {7, 8},
     {9, 10},  {12, 57}, {13, 28}, {16, 46}, {18, 19}, {20, 21}, {22, 23},
     {24, 25}, {27, 42}, {30, 45}, {33, 34}, {35, 36}, {37, 38}, {39, 40},
     {43, 58}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {1, 16},  {2, 3},
     {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 27}, {15, 30}, {17, 18},
     {19, 20}, {21, 22}, {23, 24}, {25, 26}, {28, 43}, {31, 46}, {32, 33},
     {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 57}, {47, 48}, {49, 50},
     {51, 52}, {53, 54}, {55, 56}, {2, 32},  {3, 18},  {4, 49},  {5, 6},
     {7, 8},   {9, 39},  {10, 40}, {11, 26}, {16, 31}, {17, 47}, {19, 34},
     {20, 21}, {22, 23}, {24, 54}, {25, 55}, {27, 42}, {33, 48}, {35, 36},
     {37, 38}, {41, 56}, {50, 51}, {52, 53}, {2, 17},  {3, 33},  {4, 19},
     {5, 50},  {6, 51},  {7, 37},  {8, 38},  {9, 24},  {10, 25}, {11, 41},
     {18, 48}, {20, 35}, {21, 36}, {22, 52}, {23, 53}, {26, 56}, {32, 47},
     {34, 49}, {39, 54}, {40, 55}, {4, 15},  {5, 20},  {6, 21},  {7, 22},
     {8, 23},  {9, 31},  {11, 48}, {12, 19}, {17, 32}, {18, 33}, {24, 39},
     {25, 40}, {26, 41}, {27, 49}, {35, 50}, {36, 51}, {37, 52}, {38, 53},
     {43, 54}, {44, 55}, {1, 4},   {5, 16},  {6, 17},  {7, 18},  {8, 30},
     {10, 32}, {11, 33}, {13, 20}, {14, 21}, {19, 34}, {22, 37}, {23, 38},
     {24, 46}, {25, 47}, {26, 48}, {28, 50}, {29, 51}, {41, 52}, {42, 53},
     {54, 56}, {55, 58}, {3, 5},   {8, 15},  {9, 16},  {10, 17}, {11, 18},
     {13, 24}, {14, 25}, {19, 30}, {20, 35}, {21, 36}, {22, 33}, {23, 45},
     {26, 37}, {28, 46}, {29, 47}, {34, 38}, {41, 48}, {42, 49}, {43, 50},
     {44, 51}, {2, 8},   {5, 9},   {12, 23}, {18, 22}, {20, 31}, {21, 32},
     {26, 33}, {27, 45}, {35, 39}, {36, 40}, {37, 41}, {50, 54}, {51, 57},
     {2, 4},   {12, 19}, {13, 20}, {14, 21}, {23, 30}, {24, 31}, {25, 32},
     {27, 34}, {28, 35}, {29, 36}, {38, 45}, {39, 46}, {40, 47}, {55, 57},
     {12, 15}, {13, 16}, {14, 17}, {19, 23}, {20, 24}, {21, 25}, {27, 30},
     {28, 31}, {29, 32}, {34, 38}, {35, 39}, {36, 40}, {42, 45}, {43, 46},
     {44, 47}, {6, 12},  {7, 13},  {10, 15}, {11, 16}, {14, 19}, {17, 23},
     {18, 20}, {21, 27}, {22, 24}, {25, 30}, {26, 28}, {29, 34}, {31, 33},
     {32, 38}, {35, 37}, {36, 42}, {39, 41}, {40, 45}, {43, 48}, {44, 49},
     {46, 52}, {47, 53}, {6, 8},   {7, 9},   {10, 12}, {11, 15}, {13, 14},
     {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 27}, {25, 26}, {28, 30},
     {29, 31}, {32, 34}, {33, 35}, {36, 37}, {38, 39}, {40, 42}, {41, 43},
     {44, 48}, {45, 46}, {47, 49}, {50, 52}, {51, 53}, {3, 6},   {5, 8},
     {7, 10},  {9, 12},  {11, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21},
     {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35},
     {36, 38}, {37, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 48}, {47, 50},
     {49, 52}, {51, 54}, {53, 56}, {3, 4},   {5, 6},   {7, 8},   {9, 10},
     {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24},
     {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34}, {35, 36}, {37, 38},
     {39, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 48}, {49, 50}, {51, 52},
     {53, 54}, {55, 56}, {1, 2},   {3, 10},  {4, 14},  {5, 8},   {6, 13},
     {7, 12},  {9, 11},  {16, 17}, {18, 25}, {19, 29}, {20, 23}, {21, 28},
     {22, 27}, {24, 26}, {31, 32}, {33, 40}, {34, 44}, {35, 38}, {36, 43},
     {37, 42}, {39, 41}, {45, 58}, {46, 57}, {47, 60}, {48, 59}, {49, 53},
     {50, 51}, {52, 56}, {54, 55}, {0, 14},  {1, 5},   {2, 8},   {3, 7},
     {6, 9},   {10, 12}, {11, 13}, {15, 29}, {16, 20}, {17, 23}, {18, 22},
     {21, 24}, {25, 27}, {26, 28}, {30, 44}, {31, 35}, {32, 38}, {33, 37},
     {36, 39}, {40, 42}, {41, 43}, {45, 50}, {46, 52}, {47, 54}, {48, 49},
     {51, 58}, {53, 59}, {55, 60}, {56, 57}, {0, 7},   {1, 6},   {2, 9},
     {4, 10},  {5, 11},  {8, 13},  {12, 14}, {15, 22}, {16, 21}, {17, 24},
     {19, 25}, {20, 26}, {23, 28}, {27, 29}, {30, 37}, {31, 36}, {32, 39},
     {34, 40}, {35, 41}, {38, 43}, {42, 44}, {45, 46}, {47, 48}, {49, 50},
     {51, 53}, {52, 54}, {55, 56}, {57, 58}, {59, 60}, {0, 6},   {2, 4},
     {3, 5},   {7, 11},  {8, 10},  {9, 12},  {13, 14}, {15, 21}, {17, 19},
     {18, 20}, {22, 26}, {23, 25}, {24, 27}, {28, 29}, {30, 36}, {32, 34},
     {33, 35}, {37, 41}, {38, 40}, {39, 42}, {43, 44}, {45, 47}, {46, 48},
     {49, 55}, {50, 56}, {51, 52}, {53, 54}, {57, 59}, {58, 60}, {0, 3},
     {1, 2},   {4, 7},   {5, 9},   {6, 8},   {10, 11}, {12, 13}, {15, 18},
     {16, 17}, {19, 22}, {20, 24}, {21, 23}, {25, 26}, {27, 28}, {29, 44},
     {30, 33}, {31, 32}, {34, 37}, {35, 39}, {36, 38}, {40, 41}, {42, 43},
     {46, 47}, {48, 57}, {49, 51}, {50, 52}, {53, 55}, {54, 56}, {58, 59},
     {0, 1},   {2, 3},   {4, 6},   {7, 9},   {10, 12}, {11, 13}, {15, 16},
     {17, 18}, {19, 21}, {22, 24}, {25, 27}, {26, 28}, {30, 31}, {32, 33},
     {34, 36}, {37, 39}, {40, 42}, {41, 43}, {46, 49}, {47, 51}, {50, 53},
     {52, 55}, {54, 58}, {56, 59}, {0, 30},  {1, 2},   {3, 5},   {8, 10},
     {11, 12}, {14, 59}, {15, 45}, {16, 17}, {18, 20}, {23, 25}, {26, 27},
     {28, 43}, {31, 32}, {33, 35}, {38, 40}, {41, 42}, {47, 49}, {48, 51},
     {54, 57}, {56, 58}, {0, 15},  {1, 31},  {3, 4},   {5, 6},   {7, 8},
     {9, 10},  {13, 58}, {14, 29}, {16, 46}, {18, 19}, {20, 21}, {22, 23},
     {24, 25}, {27, 42}, {30, 45}, {33, 34}, {35, 36}, {37, 38}, {39, 40},
     {44, 59}, {48, 50}, {51, 53}, {52, 54}, {55, 57}, {1, 16},  {2, 3},
     {4, 5},   {6, 7},   {8, 9},   {10, 11}, {13, 28}, {15, 30}, {17, 18},
     {19, 20}, {21, 22}, {23, 24}, {25, 26}, {29, 44}, {31, 46}, {32, 33},
     {34, 35}, {36, 37}, {38, 39}, {40, 41}, {43, 58}, {48, 49}, {50, 51},
     {52, 53}, {54, 55}, {56, 57}, {2, 32},  {3, 33},  {4, 49},  {5, 6},
     {7, 8},   {9, 39},  {10, 40}, {11, 41}, {12, 57}, {16, 31}, {17, 47},
     {18, 48}, {19, 34}, {20, 21}, {22, 23}, {25, 55}, {26, 60}, {28, 43},
     {35, 36}, {37, 38}, {51, 52}, {53, 54}, {2, 17},  {3, 18},  {4, 19},
     {5, 50},  {6, 51},  {7, 37},  {8, 38},  {10, 25}, {11, 26}, {12, 27},
     {20, 35}, {21, 36}, {23, 53}, {24, 54}, {32, 47}, {33, 48}, {34, 49},
     {40, 55}, {41, 60}, {42, 57}, {4, 15},  {5, 20},  {6, 21},  {7, 52},
     {8, 23},  {9, 24},  {12, 19}, {17, 32}, {18, 33}, {22, 37}, {25, 40},
     {26, 41}, {27, 42}, {35, 50}, {36, 51}, {38, 53}, {39, 54}, {44, 55},
     {58, 60}, {1, 4},   {5, 16},  {6, 17},  {8, 30},  {9, 31},  {10, 32},
     {13, 20}, {14, 21}, {19, 34}, {23, 38}, {24, 39}, {25, 47}, {27, 49},
     {28, 50}, {29, 51}, {37, 56}, {42, 53}, {43, 54}, {48, 52}, {8, 15},
     {9, 16},  {10, 17}, {11, 37}, {14, 25}, {19, 30}, {20, 35}, {21, 36},
     {22, 48}, {23, 45}, {24, 46}, {26, 52}, {29, 47}, {34, 38}, {41, 56},
     {42, 49}, {43, 50}, {44, 51}, {54, 58}, {2, 8},   {3, 9},   {7, 22},
     {11, 33}, {12, 23}, {13, 24}, {20, 31}, {21, 32}, {27, 45}, {28, 46},
     {35, 39}, {36, 40}, {37, 48}, {41, 52}, {50, 56}, {51, 57}, {2, 4},
     {5, 8},   {7, 18},  {12, 19}, {13, 20}, {14, 21}, {23, 30}, {24, 31},
     {25, 32}, {27, 34}, {28, 35}, {29, 36}, {33, 37}, {38, 45}, {39, 46},
     {40, 47}, {41, 48}, {51, 54}, {57, 58}, {11, 18}, {12, 15}, {13, 16},
     {14, 17}, {19, 23}, {20, 24}, {21, 25}, {22, 33}, {26, 37}, {27, 30},
     {28, 31}, {29, 32}, {34, 38}, {35, 39}, {36, 40}, {42, 45}, {43, 46},
     {44, 47}, {51, 56}, {55, 57}, {6, 12},  {7, 13},  {10, 15}, {11, 16},
     {14, 19}, {17, 23}, {18, 22}, {21, 27}, {25, 30}, {26, 33}, {29, 34},
     {32, 38}, {36, 42}, {37, 41}, {40, 45}, {43, 48}, {44, 49}, {46, 52},
     {47, 53}, {57, 60}, {6, 8},   {7, 10},  {9, 12},  {11, 13}, {14, 15},
     {16, 19}, {18, 20}, {22, 24}, {26, 28}, {29, 30}, {31, 33}, {35, 37},
     {39, 41}, {42, 43}, {44, 46}, {45, 48}, {47, 50}, {49, 52}, {51, 53},
     {57, 58}, {59, 60}, {3, 6},   {7, 12},  {11, 14}, {13, 15}, {17, 18},
     {20, 21}, {22, 23}, {24, 27}, {25, 26}, {28, 31}, {32, 35}, {33, 34},
     {36, 39}, {37, 38}, {40, 41}, {44, 45}, {46, 48}, {47, 52}, {53, 56},
     {3, 5},   {6, 8},   {7, 9},   {10, 12}, {13, 14}, {16, 17}, {18, 19},
     {20, 22}, {21, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33},
     {34, 35}, {36, 37}, {38, 39}, {40, 42}, {41, 43}, {45, 46}, {47, 49},
     {50, 52}, {54, 56}, {3, 4},   {7, 8},   {11, 12}, {15, 16}, {17, 18},
     {19, 20}, {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32},
     {33, 34}, {35, 36}, {37, 38}, {39, 40}, {41, 42}, {43, 44}, {47, 48},
     {51, 52}, {55, 56}, {1, 2},   {3, 10},  {4, 14},  {5, 8},   {6, 13},
     {7, 12},  {9, 11},  {15, 28}, {16, 27}, {17, 30}, {18, 29}, {19, 23},
     {20, 21}, {22, 26}, {24, 25}, {32, 33}, {34, 41}, {35, 45}, {36, 39},
     {37, 44}, {38, 43}, {40, 42}, {46, 59}, {47, 58}, {48, 61}, {49, 60},
     {50, 54}, {51, 52}, {53, 57}, {55, 56}, {0, 14},  {1, 5},   {2, 8},
     {3, 7},   {6, 9},   {10, 12}, {11, 13}, {15, 20}, {16, 22}, {17, 24},
     {18, 19}, {21, 28}, {23, 29}, {25, 30}, {26, 27}, {31, 45}, {32, 36},
     {33, 39}, {34, 38}, {37, 40}, {41, 43}, {42, 44}, {46, 51}, {47, 53},
     {48, 55}, {49, 50}, {52, 59}, {54, 60}, {56, 61}, {57, 58}, {0, 7},
     {1, 6},   {2, 9},   {4, 10},  {5, 11},  {8, 13},  {12, 14}, {15, 16},
     {17, 18}, {19, 20}, {21, 23}, {22, 24}, {25, 26}, {27, 28}, {29, 30},
     {31, 38}, {32, 37}, {33, 40}, {35, 41}, {36, 42}, {39, 44}, {43, 45},
     {46, 47}, {48, 49}, {50, 51}, {52, 54}, {53, 55}, {56, 57}, {58, 59},
     {60, 61}, {0, 6},   {2, 4},   {3, 5},   {7, 11},  {8, 10},  {9, 12},
     {13, 14}, {15, 17}, {16, 18}, {19, 25}, {20, 26}, {21, 22}, {23, 24},
     {27, 29}, {28, 30}, {31, 37}, {33, 35}, {34, 36}, {38, 42}, {39, 41},
     {40, 43}, {44, 45}, {46, 48}, {47, 49}, {50, 56}, {51, 57}, {52, 53},
     {54, 55}, {58, 60}, {59, 61}, {0, 3},   {1, 2},   {4, 7},   {5, 9},
     {6, 8},   {10, 11}, {12, 13}, {15, 46}, {16, 17}, {18, 27}, {19, 21},
     {20, 22}, {23, 25}, {24, 26}, {28, 29}, {31, 34}, {32, 33}, {35, 38},
     {36, 40}, {37, 39}, {41, 42}, {43, 44}, {47, 48}, {49, 58}, {50, 52},
     {51, 53}, {54, 56}, {55, 57}, {59, 60}, {0, 1},   {2, 3},   {4, 6},
     {7, 9},   {10, 12}, {11, 13}, {16, 19}, {17, 21}, {20, 23}, {22, 25},
     {24, 28}, {26, 29}, {31, 32}, {33, 34}, {35, 37}, {38, 40}, {41, 43},
     {42, 44}, {47, 50}, {48, 52}, {51, 54}, {53, 56}, {55, 59}, {57, 60},
     {0, 31},  {1, 2},   {3, 5},   {8, 10},  {11, 12}, {14, 60}, {16, 47},
     {17, 19}, {18, 21}, {24, 27}, {26, 28}, {29, 45}, {32, 33}, {34, 36},
     {39, 41}, {42, 43}, {48, 50}, {49, 52}, {55, 58}, {57, 59}, {0, 15},
     {1, 32},  {3, 4},   {5, 6},   {7, 8},   {9, 10},  {13, 59}, {14, 29},
     {17, 48}, {18, 20}, {21, 23}, {22, 24}, {25, 27}, {28, 44}, {31, 46},
     {34, 35}, {36, 37}, {38, 39}, {40, 41}, {45, 60}, {49, 51}, {52, 54},
     {53, 55}, {56, 58}, {1, 16},  {2, 3},   {4, 5},   {6, 7},   {8, 9},
     {10, 11}, {13, 28}, {15, 31}, {18, 19}, {20, 21}, {22, 23}, {24, 25},
     {26, 27}, {29, 45}, {32, 47}, {33, 34}, {35, 36}, {37, 38}, {39, 40},
     {41, 42}, {44, 59}, {49, 50}, {51, 52}, {53, 54}, {55, 56}, {57, 58},
     {2, 33},  {3, 34},  {4, 50},  {5, 6},   {7, 8},   {9, 40},  {10, 41},
     {11, 61}, {12, 58}, {16, 32}, {18, 49}, {19, 35}, {21, 22}, {23, 24},
     {25, 56}, {26, 57}, {27, 43}, {28, 44}, {30, 42}, {36, 37}, {38, 39},
     {52, 53}, {54, 55}, {2, 17},  {3, 18},  {4, 19},  {5, 51},  {6, 52},
     {7, 38},  {8, 39},  {10, 25}, {11, 30}, {12, 27}, {20, 36}, {21, 37},
     {22, 53}, {23, 54}, {24, 55}, {33, 48}, {35, 50}, {41, 56}, {42, 61},
     {43, 58}, {4, 15},  {5, 20},  {6, 21},  {7, 49},  {8, 23},  {9, 24},
     {12, 19}, {17, 33}, {22, 34}, {25, 41}, {27, 43}, {30, 42}, {36, 51},
     {37, 52}, {38, 57}, {39, 54}, {40, 55}, {45, 56}, {59, 61}, {1, 4},
     {5, 16},  {6, 17},  {7, 18},  {8, 31},  {9, 32},  {10, 33}, {11, 22},
     {13, 20}, {14, 21}, {19, 35}, {23, 39}, {24, 40}, {25, 48}, {26, 38},
     {27, 50}, {28, 51}, {29, 52}, {34, 53}, {42, 57}, {43, 54}, {44, 55},
     {60, 61}, {7, 11},  {8, 15},  {9, 16},  {10, 17}, {14, 25}, {18, 26},
     {19, 31}, {20, 36}, {21, 37}, {22, 34}, {23, 46}, {24, 47}, {29, 48},
     {30, 53}, {35, 39}, {38, 49}, {43, 50}, {44, 51}, {45, 52}, {56, 57},
     {2, 8},   {3, 9},   {11, 18}, {12, 23}, {13, 24}, {20, 32}, {21, 33},
     {26, 38}, {27, 46}, {28, 47}, {30, 34}, {36, 40}, {37, 41}, {42, 53},
     {52, 58}, {55, 56}, {57, 60}, {2, 4},   {5, 8},   {12, 19}, {13, 20},
     {14, 21}, {22, 26}, {23, 31}, {24, 32}, {25, 33}, {27, 35}, {28, 36},
     {29, 37}, {30, 38}, {34, 49}, {39, 46}, {40, 47}, {41, 48}, {51, 53},
     {58, 59}, {3, 8},   {12, 15}, {13, 16}, {14, 17}, {18, 22}, {19, 23},
     {20, 24}, {21, 25}, {26, 30}, {27, 31}, {28, 32}, {29, 33}, {34, 38},
     {35, 39}, {36, 40}, {37, 41}, {42, 49}, {43, 46}, {44, 47}, {45, 48},
     {53, 55}, {56, 58}, {57, 59}, {6, 12},  {7, 13},  {10, 15}, {11, 16},
     {14, 19}, {17, 23}, {18, 20}, {21, 27}, {22, 24}, {25, 31}, {26, 28},
     {29, 35}, {30, 32}, {33, 39}, {34, 36}, {37, 43}, {38, 40}, {41, 46},
     {42, 44}, {45, 50}, {47, 49}, {48, 54}, {57, 58}, {3, 6},   {7, 9},
     {10, 12}, {11, 13}, {14, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23},
     {24, 26}, {25, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37},
     {38, 39}, {40, 42}, {41, 43}, {44, 47}, {45, 46}, {48, 50}, {49, 51},
     {52, 54}, {3, 5},   {6, 8},   {7, 10},  {9, 12},  {11, 14}, {13, 15},
     {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 30},
     {29, 31}, {32, 34}, {33, 35}, {36, 38}, {37, 39}, {40, 41}, {42, 43},
     {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {3, 4},
     {7, 8},   {9, 10},  {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20},
     {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34},
     {35, 36}, {37, 38}, {39, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 48},
     {49, 50}, {51, 52}, {53, 54}, {55, 56}, {1, 2},   {3, 10},  {4, 14},
     {5, 8},   {6, 13},  {7, 12},  {9, 11},  {15, 28}, {16, 27}, {17, 30},
     {18, 29}, {19, 23}, {20, 21}, {22, 26}, {24, 25}, {31, 44}, {32, 43},
     {33, 46}, {34, 45}, {35, 39}, {36, 37}, {38, 42}, {40, 41}, {47, 60},
     {48, 59}, {49, 62}, {50, 61}, {51, 55}, {52, 53}, {54, 58}, {56, 57},
     {0, 14},  {1, 5},   {2, 8},   {3, 7},   {6, 9},   {10, 12}, {11, 13},
     {15, 20}, {16, 22}, {17, 24}, {18, 19}, {21, 28}, {23, 29}, {25, 30},
     {26, 27}, {31, 36}, {32, 38}, {33, 40}, {34, 35}, {37, 44}, {39, 45},
     {41, 46}, {42, 43}, {47, 52}, {48, 54}, {49, 56}, {50, 51}, {53, 60},
     {55, 61}, {57, 62}, {58, 59}, {0, 7},   {1, 6},   {2, 9},   {4, 10},
     {5, 11},  {8, 13},  {12, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 23},
     {22, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34}, {35, 36},
     {37, 39}, {38, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 48}, {49, 50},
     {51, 52}, {53, 55}, {54, 56}, {57, 58}, {59, 60}, {61, 62}, {0, 6},
     {2, 4},   {3, 5},   {7, 11},  {8, 10},  {9, 12},  {13, 14}, {15, 17},
     {16, 18}, {19, 25}, {20, 26}, {21, 22}, {23, 24}, {27, 29}, {28, 30},
     {31, 33}, {32, 34}, {35, 41}, {36, 42}, {37, 38}, {39, 40}, {43, 45},
     {44, 46}, {47, 49}, {48, 50}, {51, 57}, {52, 58}, {53, 54}, {55, 56},
     {59, 61}, {60, 62}, {0, 3},   {1, 2},   {4, 7},   {5, 9},   {6, 8},
     {10, 11}, {12, 13}, {15, 47}, {16, 17}, {18, 27}, {19, 21}, {20, 22},
     {23, 25}, {24, 26}, {28, 29}, {32, 33}, {34, 43}, {35, 37}, {36, 38},
     {39, 41}, {40, 42}, {44, 45}, {46, 62}, {48, 49}, {50, 59}, {51, 53},
     {52, 54}, {55, 57}, {56, 58}, {60, 61}, {0, 1},   {2, 3},   {4, 6},
     {7, 9},   {10, 12}, {11, 13}, {16, 19}, {17, 21}, {20, 23}, {22, 25},
     {24, 28}, {26, 29}, {32, 35}, {33, 37}, {36, 39}, {38, 41}, {40, 44},
     {42, 45}, {48, 51}, {49, 53}, {52, 55}, {54, 57}, {56, 60}, {58, 61},
     {0, 31},  {1, 2},   {3, 5},   {8, 10},  {11, 12}, {14, 61}, {16, 48},
     {17, 19}, {18, 21}, {24, 27}, {26, 28}, {29, 45}, {33, 35}, {34, 37},
     {40, 43}, {42, 44}, {49, 51}, {50, 53}, {56, 59}, {58, 60}, {0, 15},
     {1, 32},  {3, 4},   {5, 6},   {7, 8},   {9, 10},  {13, 60}, {14, 29},
     {17, 49}, {18, 20}, {21, 23}, {22, 24}, {25, 27}, {28, 44}, {31, 47},
     {34, 36}, {37, 39}, {38, 40}, {41, 43}, {45, 61}, {50, 52}, {53, 55},
     {54, 56}, {57, 59}, {1, 16},  {2, 3},   {4, 5},   {6, 7},   {8, 9},
     {10, 11}, {13, 28}, {15, 31}, {18, 19}, {20, 21}, {22, 23}, {24, 25},
     {26, 27}, {29, 45}, {32, 48}, {34, 35}, {36, 37}, {38, 39}, {40, 41},
     {42, 43}, {44, 60}, {50, 51}, {52, 53}, {54, 55}, {56, 57}, {58, 59},
     {2, 33},  {4, 51},  {5, 6},   {7, 8},   {10, 41}, {11, 30}, {12, 59},
     {16, 32}, {18, 50}, {19, 35}, {20, 36}, {21, 22}, {23, 24}, {25, 57},
     {26, 58}, {27, 43}, {28, 44}, {37, 38}, {39, 40}, {53, 54}, {55, 56},
     {2, 17},  {3, 38},  {4, 19},  {5, 52},  {6, 53},  {7, 42},  {8, 39},
     {9, 40},  {10, 25}, {11, 46}, {12, 27}, {18, 34}, {21, 37}, {22, 54},
     {23, 55}, {24, 56}, {30, 62}, {33, 49}, {35, 51}, {41, 57}, {43, 59},
     {3, 22},  {4, 15},  {5, 20},  {6, 21},  {7, 50},  {8, 23},  {9, 24},
     {12, 19}, {17, 33}, {25, 41}, {26, 34}, {27, 43}, {30, 46}, {36, 52},
     {37, 53}, {38, 54}, {39, 55}, {40, 56}, {42, 58}, {45, 57}, {61, 62},
     {1, 4},   {3, 18},  {5, 16},  {6, 17},  {7, 26},  {8, 31},  {9, 32},
     {10, 33}, {11, 38}, {13, 20}, {14, 21}, {19, 35}, {23, 39}, {24, 40},
     {25, 49}, {27, 51}, {28, 52}, {29, 53}, {30, 54}, {42, 50}, {43, 55},
     {44, 56}, {46, 58}, {7, 18},  {8, 15},  {9, 16},  {10, 17}, {14, 25},
     {19, 31}, {20, 36}, {21, 37}, {22, 38}, {23, 47}, {24, 48}, {29, 49},
     {34, 42}, {35, 39}, {43, 51}, {44, 52}, {45, 53}, {46, 54}, {58, 60},
     {2, 8},   {3, 9},   {11, 22}, {12, 23}, {13, 24}, {20, 32}, {21, 33},
     {26, 34}, {27, 47}, {28, 48}, {30, 38}, {36, 40}, {37, 41}, {42, 50},
     {53, 59}, {54, 56}, {60, 61}, {2, 4},   {3, 8},   {11, 26}, {12, 19},
     {13, 20}, {14, 21}, {22, 34}, {23, 31}, {24, 32}, {25, 33}, {27, 35},
     {28, 36}, {29, 37}, {30, 42}, {38, 50}, {39, 47}, {40, 48}, {41, 49},
     {56, 57}, {58, 59}, {11, 18}, {12, 15}, {13, 16}, {14, 17}, {19, 23},
     {20, 24}, {21, 25}, {22, 26}, {27, 31}, {28, 32}, {29, 33}, {30, 34},
     {35, 39}, {36, 40}, {37, 41}, {38, 42}, {43, 47}, {44, 48}, {45, 49},
     {46, 50}, {56, 58}, {57, 59}, {6, 12},  {7, 13},  {10, 15}, {11, 16},
     {14, 19}, {17, 23}, {18, 20}, {21, 27}, {22, 24}, {25, 31}, {26, 28},
     {29, 35}, {30, 32}, {33, 39}, {34, 36}, {37, 43}, {38, 40}, {41, 47},
     {42, 44}, {45, 51}, {46, 48}, {49, 55}, {50, 52}, {57, 58}, {59, 60},
     {5, 6},   {7, 10},  {9, 12},  {11, 15}, {13, 14}, {16, 19}, {17, 18},
     {20, 23}, {21, 22}, {24, 27}, {25, 26}, {28, 31}, {29, 30}, {32, 35},
     {33, 34}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 47}, {45, 46},
     {48, 50}, {49, 51}, {52, 53}, {54, 55}, {3, 5},   {6, 8},   {7, 9},
     {10, 12}, {11, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23},
     {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 38},
     {37, 39}, {40, 42}, {41, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51},
     {52, 54}, {53, 55}, {3, 4},   {5, 6},   {7, 8},   {9, 10},  {11, 12},
     {13, 14}, {15, 16}, {17, 18}, {19, 20}, {21, 22}, {23, 24}, {25, 26},
     {27, 28}, {29, 30}, {31, 32}, {33, 34}, {35, 36}, {37, 38}, {39, 40},
     {41, 42}, {43, 44}, {45, 46}, {47, 48}, {49, 50}, {51, 52}, {53, 54},
     {55, 56}, {0, 2},   {1, 3},   {4, 6},   {5, 7},   {8, 10},  {9, 11},
     {12, 14}, {13, 15}, {16, 18}, {17, 19}, {20, 22}, {21, 23}, {24, 26},
     {25, 27}, {28, 30}, {29, 31}, {32, 34}, {33, 35}, {36, 38}, {37, 39},
     {40, 42}, {41, 43}, {44, 46}, {45, 47}, {48, 50}, {49, 51}, {52, 54},
     {53, 55}, {56, 58}, {57, 59}, {60, 62}, {61, 63}, {0, 1},   {2, 3},
     {4, 5},   {6, 7},   {8, 9},   {10, 11}, {12, 13}, {14, 15}, {16, 17},
     {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31},
     {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45},
     {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {56, 57}, {58, 59},
     {60, 61}, {62, 63}, {0, 52},  {1, 2},   {3, 55},  {4, 48},  {5, 6},
     {7, 51},  {8, 60},  {9, 10},  {11, 63}, {12, 56}, {13, 14}, {15, 59},
     {16, 32}, {17, 18}, {19, 35}, {20, 24}, {21, 22}, {23, 27}, {25, 26},
     {28, 44}, {29, 30}, {31, 47}, {33, 34}, {36, 40}, {37, 38}, {39, 43},
     {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {0, 20},
     {1, 53},  {2, 54},  {3, 23},  {4, 28},  {5, 49},  {6, 50},  {7, 31},
     {8, 36},  {9, 61},  {10, 62}, {11, 39}, {12, 16}, {13, 57}, {14, 58},
     {15, 19}, {17, 33}, {18, 34}, {21, 25}, {22, 26}, {24, 52}, {27, 55},
     {29, 45}, {30, 46}, {32, 56}, {35, 59}, {37, 41}, {38, 42}, {40, 60},
     {43, 63}, {44, 48}, {47, 51}, {0, 4},   {1, 21},  {2, 22},  {3, 7},
     {5, 29},  {6, 30},  {8, 12},  {9, 37},  {10, 38}, {11, 15}, {13, 17},
     {14, 18}, {16, 20}, {19, 23}, {24, 32}, {25, 53}, {26, 54}, {27, 35},
     {28, 36}, {31, 39}, {33, 57}, {34, 58}, {40, 44}, {41, 61}, {42, 62},
     {43, 47}, {45, 49}, {46, 50}, {48, 52}, {51, 55}, {56, 60}, {59, 63},
     {0, 8},   {1, 5},   {2, 6},   {3, 11},  {4, 12},  {7, 15},  {9, 13},
     {10, 14}, {16, 40}, {17, 21}, {18, 22}, {19, 43}, {20, 44}, {23, 47},
     {24, 28}, {25, 33}, {26, 34}, {27, 31}, {29, 37}, {30, 38}, {32, 36},
     {35, 39}, {41, 45}, {42, 46}, {48, 56}, {49, 53}, {50, 54}, {51, 59},
     {52, 60}, {55, 63}, {57, 61}, {58, 62}, {1, 9},   {2, 10},  {4, 8},
     {5, 13},  {6, 14},  {7, 11},  {12, 48}, {15, 51}, {16, 24}, {17, 41},
     {18, 42}, {19, 27}, {20, 28}, {21, 45}, {22, 46}, {23, 31}, {25, 29},
     {26, 30}, {32, 40}, {33, 37}, {34, 38}, {35, 43}, {36, 44}, {39, 47},
     {49, 57}, {50, 58}, {52, 56}, {53, 61}, {54, 62}, {55, 59}, {4, 16},
     {5, 9},   {6, 10},  {7, 19},  {8, 24},  {11, 27}, {13, 49}, {14, 50},
     {17, 25}, {18, 26}, {20, 32}, {21, 29}, {22, 30}, {23, 35}, {28, 40},
     {31, 43}, {33, 41}, {34, 42}, {36, 52}, {37, 45}, {38, 46}, {39, 55},
     {44, 56}, {47, 59}, {53, 57}, {54, 58}, {1, 4},   {5, 17},  {6, 18},
     {8, 16},  {9, 25},  {10, 26}, {11, 19}, {12, 24}, {15, 27}, {21, 33},
     {22, 34}, {29, 41}, {30, 42}, {36, 48}, {37, 53}, {38, 54}, {39, 51},
     {44, 52}, {45, 57}, {46, 58}, {47, 55}, {59, 62}, {2, 8},   {9, 17},
     {10, 18}, {12, 20}, {13, 25}, {14, 26}, {15, 23}, {24, 32}, {27, 35},
     {28, 36}, {31, 39}, {37, 49}, {38, 50}, {40, 48}, {43, 51}, {45, 53},
     {46, 54}, {55, 61}, {2, 4},   {12, 16}, {13, 21}, {14, 22}, {15, 19},
     {20, 24}, {23, 27}, {25, 33}, {26, 34}, {28, 32}, {29, 37}, {30, 38},
     {31, 35}, {36, 40}, {39, 43}, {41, 49}, {42, 50}, {44, 48}, {47, 51},
     {59, 61}, {4, 16},  {5, 20},  {10, 40}, {13, 17}, {14, 18}, {21, 25},
     {22, 26}, {23, 53}, {24, 28}, {27, 31}, {29, 33}, {30, 34}, {32, 36},
     {35, 39}, {37, 41}, {38, 42}, {43, 58}, {45, 49}, {46, 50}, {47, 59},
     {3, 17},  {6, 36},  {7, 21},  {8, 32},  {9, 24},  {11, 41}, {13, 28},
     {14, 44}, {15, 45}, {18, 48}, {19, 49}, {22, 52}, {25, 29}, {26, 30},
     {27, 57}, {31, 55}, {33, 37}, {34, 38}, {35, 50}, {39, 54}, {42, 56},
     {46, 60}, {6, 20},  {8, 16},  {10, 24}, {11, 25}, {14, 28}, {15, 29},
     {17, 33}, {18, 32}, {21, 37}, {22, 36}, {26, 42}, {27, 41}, {30, 46},
     {31, 45}, {34, 48}, {35, 49}, {38, 52}, {39, 53}, {43, 57}, {47, 55},
     {3, 18},  {5, 8},   {6, 12},  {7, 22},  {15, 21}, {17, 32}, {19, 33},
     {23, 37}, {26, 40}, {30, 44}, {31, 46}, {41, 56}, {42, 48}, {45, 60},
     {51, 57}, {55, 58}, {3, 16},  {7, 20},  {11, 26}, {18, 24}, {19, 25},
     {22, 28}, {23, 29}, {27, 33}, {30, 36}, {34, 40}, {35, 41}, {37, 52},
     {38, 44}, {39, 45}, {43, 56}, {47, 60}, {3, 9},   {7, 13},  {10, 16},
     {11, 17}, {14, 20}, {15, 30}, {19, 34}, {21, 36}, {23, 38}, {25, 40},
     {26, 32}, {27, 42}, {29, 44}, {31, 37}, {33, 48}, {43, 49}, {46, 52},
     {47, 53}, {50, 56}, {54, 60}, {3, 8},   {7, 10},  {9, 12},  {11, 18},
     {13, 14}, {15, 24}, {17, 22}, {19, 28}, {21, 26}, {23, 25}, {27, 34},
     {29, 36}, {30, 32}, {31, 33}, {35, 44}, {37, 42}, {38, 40}, {39, 48},
     {41, 46}, {45, 52}, {49, 50}, {51, 54}, {53, 56}, {55, 60}, {3, 6},
     {7, 12},  {11, 16}, {15, 17}, {18, 20}, {19, 24}, {21, 22}, {23, 30},
     {25, 32}, {26, 28}, {27, 29}, {31, 38}, {33, 40}, {34, 36}, {35, 37},
     {39, 44}, {41, 42}, {43, 45}, {46, 48}, {47, 52}, {51, 56}, {57, 60},
     {3, 5},   {6, 8},   {7, 9},   {10, 12}, {11, 13}, {14, 16}, {15, 18},
     {17, 20}, {19, 21}, {22, 24}, {23, 26}, {25, 28}, {27, 30}, {29, 32},
     {31, 34}, {33, 36}, {35, 38}, {37, 40}, {39, 41}, {42, 44}, {43, 46},
     {45, 48}, {47, 49}, {50, 52}, {51, 53}, {54, 56}, {55, 57}, {58, 60},
     {3, 4},   {7, 8},   {11, 12}, {13, 14}, {15, 16}, {17, 18}, {19, 20},
     {21, 22}, {23, 24}, {25, 26}, {27, 28}, {29, 30}, {31, 32}, {33, 34},
     {35, 36}, {37, 38}, {39, 40}, {41, 42}, {43, 44}, {45, 46}, {47, 48},
     {49, 50}, {51, 52}, {55, 56}, {59, 60}}};
 
struct SortingNetwork {
    int n_inputs;
    size_t offset;
    size_t count;
};
 
// clang-format off
constexpr std::array<SortingNetwork, 62> optimal_sorting_networks_meta = {{
    {.n_inputs=3, .offset=0U, .count=3U},        // N=3, 3 comparators, 3 layers
    {.n_inputs=4, .offset=3U, .count=5U},        // N=4, 5 comparators, 3 layers
    {.n_inputs=5, .offset=8U, .count=9U},        // N=5, 9 comparators, 5 layers
    {.n_inputs=6, .offset=17U, .count=12U},      // N=6, 12 comparators, 5 layers
    {.n_inputs=7, .offset=29U, .count=16U},      // N=7, 16 comparators, 6 layers
    {.n_inputs=8, .offset=45U, .count=19U},      // N=8, 19 comparators, 6 layers
    {.n_inputs=9, .offset=64U, .count=25U},      // N=9, 25 comparators, 7 layers
    {.n_inputs=10, .offset=89U, .count=29U},     // N=10, 29 comparators, 8 layers
    {.n_inputs=11, .offset=118U, .count=35U},    // N=11, 35 comparators, 8 layers
    {.n_inputs=12, .offset=153U, .count=39U},    // N=12, 39 comparators, 9 layers
    {.n_inputs=13, .offset=192U, .count=45U},    // N=13, 45 comparators, 10 layers
    {.n_inputs=14, .offset=237U, .count=51U},    // N=14, 51 comparators, 10 layers
    {.n_inputs=15, .offset=288U, .count=56U},    // N=15, 56 comparators, 10 layers
    {.n_inputs=16, .offset=344U, .count=60U},    // N=16, 60 comparators, 10 layers
    {.n_inputs=17, .offset=404U, .count=71U},    // N=17, 71 comparators, 12 layers
    {.n_inputs=18, .offset=475U, .count=77U},    // N=18, 77 comparators, 12 layers
    {.n_inputs=19, .offset=552U, .count=85U},    // N=19, 85 comparators, 12 layers
    {.n_inputs=20, .offset=637U, .count=91U},    // N=20, 91 comparators, 12 layers
    {.n_inputs=21, .offset=728U, .count=99U},    // N=21, 99 comparators, 15 layers
    {.n_inputs=22, .offset=827U, .count=106U},   // N=22, 106 comparators, 13 layers
    {.n_inputs=23, .offset=933U, .count=114U},   // N=23, 114 comparators, 14 layers
    {.n_inputs=24, .offset=1047U, .count=120U},  // N=24, 120 comparators, 13 layers
    {.n_inputs=25, .offset=1167U, .count=130U},  // N=25, 130 comparators, 15 layers
    {.n_inputs=26, .offset=1297U, .count=138U},  // N=26, 138 comparators, 15 layers
    {.n_inputs=27, .offset=1435U, .count=147U},  // N=27, 147 comparators, 16 layers
    {.n_inputs=28, .offset=1582U, .count=155U},  // N=28, 155 comparators, 14 layers
    {.n_inputs=29, .offset=1737U, .count=164U},  // N=29, 164 comparators, 15 layers
    {.n_inputs=30, .offset=1901U, .count=172U},  // N=30, 172 comparators, 14 layers
    {.n_inputs=31, .offset=2073U, .count=180U},  // N=31, 180 comparators, 14 layers
    {.n_inputs=32, .offset=2253U, .count=185U},  // N=32, 185 comparators, 14 layers
    {.n_inputs=33, .offset=2438U, .count=199U},  // N=33, 199 comparators, 15 layers
    {.n_inputs=34, .offset=2637U, .count=209U},  // N=34, 209 comparators, 17 layers
    {.n_inputs=35, .offset=2846U, .count=220U},  // N=35, 220 comparators, 17 layers
    {.n_inputs=36, .offset=3066U, .count=227U},  // N=36, 227 comparators, 18 layers
    {.n_inputs=37, .offset=3293U, .count=240U},  // N=37, 240 comparators, 17 layers
    {.n_inputs=38, .offset=3533U, .count=250U},  // N=38, 250 comparators, 17 layers
    {.n_inputs=39, .offset=3783U, .count=259U},  // N=39, 259 comparators, 17 layers
    {.n_inputs=40, .offset=4042U, .count=265U},  // N=40, 265 comparators, 17 layers
    {.n_inputs=41, .offset=4307U, .count=282U},  // N=41, 282 comparators, 18 layers
    {.n_inputs=42, .offset=4589U, .count=291U},  // N=42, 291 comparators, 18 layers
    {.n_inputs=43, .offset=4880U, .count=303U},  // N=43, 303 comparators, 19 layers
    {.n_inputs=44, .offset=5183U, .count=309U},  // N=44, 309 comparators, 19 layers
    {.n_inputs=45, .offset=5492U, .count=324U},  // N=45, 324 comparators, 19 layers
    {.n_inputs=46, .offset=5816U, .count=332U},  // N=46, 332 comparators, 19 layers
    {.n_inputs=47, .offset=6148U, .count=340U},  // N=47, 340 comparators, 19 layers
    {.n_inputs=48, .offset=6488U, .count=346U},  // N=48, 346 comparators, 19 layers
    {.n_inputs=49, .offset=6834U, .count=365U},  // N=49, 365 comparators, 21 layers
    {.n_inputs=50, .offset=7199U, .count=376U},  // N=50, 376 comparators, 21 layers
    {.n_inputs=51, .offset=7575U, .count=387U},  // N=51, 387 comparators, 22 layers
    {.n_inputs=52, .offset=7962U, .count=395U},  // N=52, 395 comparators, 20 layers
    {.n_inputs=53, .offset=8357U, .count=411U},  // N=53, 411 comparators, 22 layers
    {.n_inputs=54, .offset=8768U, .count=421U},  // N=54, 421 comparators, 20 layers
    {.n_inputs=55, .offset=9189U, .count=432U},  // N=55, 432 comparators, 20 layers
    {.n_inputs=56, .offset=9621U, .count=438U},  // N=56, 438 comparators, 20 layers
    {.n_inputs=57, .offset=10059U, .count=454U}, // N=57, 454 comparators, 21 layers
    {.n_inputs=58, .offset=10513U, .count=465U}, // N=58, 465 comparators, 21 layers
    {.n_inputs=59, .offset=10978U, .count=476U}, // N=59, 476 comparators, 21 layers
    {.n_inputs=60, .offset=11454U, .count=483U}, // N=60, 483 comparators, 21 layers
    {.n_inputs=61, .offset=11937U, .count=497U}, // N=61, 497 comparators, 22 layers
    {.n_inputs=62, .offset=12434U, .count=506U}, // N=62, 506 comparators, 21 layers
    {.n_inputs=63, .offset=12940U, .count=515U}, // N=63, 515 comparators, 21 layers
    {.n_inputs=64, .offset=13455U, .count=521U}, // N=64, 521 comparators, 21 layers
}};
// clang-format on
 
struct SortingNetworkView {
    const Comparator* data = nullptr;
    size_t count = 0;
    [[nodiscard]] constexpr auto begin() const { return data; }
    [[nodiscard]] constexpr auto end() const {
        return std::next(data, static_cast<std::ptrdiff_t>(count));
    }
    [[nodiscard]] constexpr bool empty() const { return count == 0; }
};
 
constexpr SortingNetworkView get_optimal_sorting_network(int n) {
    const auto* it = std::ranges::find_if(
        optimal_sorting_networks_meta,
        [n](const auto& meta) { return meta.n_inputs == n; });
    if (it != optimal_sorting_networks_meta.end()) {
        return {.data = &all_sorting_network_comparators.at(it->offset),
                .count = it->count};
    }
    return {};
}
 
constexpr void oem_merge_pairs(std::vector<std::pair<int, int>>& pairs, int lo,
                               int n, int r) {
    int m = r * 2;
    if (m < n) {
        oem_merge_pairs(pairs, lo, n, m);
        oem_merge_pairs(pairs, lo + r, n, m);
        for (int i = lo + r; i < lo + n - r; i += m) {
            pairs.emplace_back(i, i + r);
        }
    } else {
        pairs.emplace_back(lo, lo + r);
    }
}
 
constexpr void generate_oem_sort_pairs(std::vector<std::pair<int, int>>& pairs,
                                       int lo, int n) {
    if (n > 1) {
        int m = n / 2;
        generate_oem_sort_pairs(pairs, lo, m);
        generate_oem_sort_pairs(pairs, lo + m, m);
        oem_merge_pairs(pairs, lo, n, 1);
    }
}
 
constexpr std::vector<std::pair<int, int>> get_sorting_network(int n) {
    std::vector<std::pair<int, int>> out;
 
    auto optimal = get_optimal_sorting_network(n);
    if (!optimal.empty()) {
        out.reserve(optimal.count);
        std::ranges::copy(optimal, std::back_inserter(out));
        return out;
    }
 
    int p = 1;
    while (p < n) {
        p <<= 1;
    }
 
    generate_oem_sort_pairs(out, 0, p);
 
    auto it = std::ranges::remove_if(
        out, [n](const auto& pair) { return pair.second >= n; });
    out.erase(it.begin(), it.end());
 
    return out;
}
 
#endif // LLVMEXPR_UTILS_SORTING_HPP