Permutation.cpp

#include "Permutation.h"

static const std::vector<std::vector<std::vector<std::vector<int>>>> combinations = {
            {
                {{0, 46}, {0, 7}, {0, 20}, {0, 33}},
                {{0, 45, 51}, {0, 6, 51}, {0, 19, 51}, {0, 32, 51}, {0, 39, 44}, {0, 5, 39}, {0, 18, 39}, {0, 31, 39}, {0, 40, 43}, {0, 4, 40}, {0, 17, 40}, {0, 30, 40}, {0, 41, 42}, {0, 3, 41}, {0, 16, 41}, {0, 29, 41}, {0, 2, 42}, {0, 15, 42}, {0, 28, 42}, {0, 1, 43}, {0, 14, 43}, {0, 27, 43}, {0, 13, 44}, {0, 26, 44}, {0, 12, 45}, {0, 25, 45}, {0, 38, 45}, {0, 6, 12}, {0, 12, 19}, {0, 12, 32}, {0, 1, 4}, {0, 1, 17}, {0, 1, 30}, {0, 2, 3}, {0, 2, 16}, {0, 2, 29}, {0, 3, 15}, {0, 3, 28}, {0, 4, 14}, {0, 4, 27}, {0, 5, 13}, {0, 5, 26}, {0, 6, 25}, {0, 6, 38}, {0, 19, 25}, {0, 25, 32}, {0, 13, 18}, {0, 13, 31}, {0, 14, 17}, {0, 14, 30}, {0, 15, 16}, {0, 15, 29}, {0, 16, 28}, {0, 17, 27}, {0, 18, 26}, {0, 19, 38}, {0, 32, 38}, {0, 26, 31}, {0, 27, 30}, {0, 28, 29}},
                {{0, 39, 43, 51}, {0, 4, 39, 51}, {0, 17, 39, 51}, {0, 30, 39, 51}, {0, 40, 42, 51}, {0, 3, 40, 51}, {0, 16, 40, 51}, {0, 29, 40, 51}, {0, 2, 41, 51}, {0, 15, 41, 51}, {0, 28, 41, 51}, {0, 1, 42, 51}, {0, 14, 42, 51}, {0, 27, 42, 51}, {0, 13, 43, 51}, {0, 26, 43, 51}, {0, 12, 44, 51}, {0, 25, 44, 51}, {0, 38, 44, 51}, {0, 5, 12, 51}, {0, 12, 18, 51}, {0, 12, 31, 51}, {0, 1, 3, 51}, {0, 1, 16, 51}, {0, 1, 29, 51}, {0, 2, 15, 51}, {0, 2, 28, 51}, {0, 3, 14, 51}, {0, 3, 27, 51}, {0, 4, 13, 51}, {0, 4, 26, 51}, {0, 5, 25, 51}, {0, 5, 38, 51}, {0, 18, 25, 51}, {0, 25, 31, 51}, {0, 13, 17, 51}, {0, 13, 30, 51}, {0, 14, 16, 51}, {0, 14, 29, 51}, {0, 15, 28, 51}, {0, 16, 27, 51}, {0, 17, 26, 51}, {0, 18, 38, 51}, {0, 31, 38, 51}, {0, 26, 30, 51}, {0, 27, 29, 51}, {0, 39, 40, 41}, {0, 2, 39, 40}, {0, 15, 39, 40}, {0, 28, 39, 40}, {0, 1, 39, 41}, {0, 14, 39, 41}, {0, 27, 39, 41}, {0, 13, 39, 42}, {0, 26, 39, 42}, {0, 12, 39, 43}, {0, 25, 39, 43}, {0, 38, 39, 43}, {0, 4, 12, 39}, {0, 12, 17, 39}, {0, 12, 30, 39}, {0, 1, 2, 39}, {0, 1, 15, 39}, {0, 1, 28, 39}, {0, 2, 14, 39}, {0, 2, 27, 39}, {0, 3, 13, 39}, {0, 3, 26, 39}, {0, 4, 25, 39}, {0, 4, 38, 39}, {0, 17, 25, 39}, {0, 25, 30, 39}, {0, 13, 16, 39}, {0, 13, 29, 39}, {0, 14, 15, 39}, {0, 14, 28, 39}, {0, 15, 27, 39}, {0, 16, 26, 39}, {0, 17, 38, 39}, {0, 30, 38, 39}, {0, 26, 29, 39}, {0, 27, 28, 39}, {0, 13, 40, 41}, {0, 26, 40, 41}, {0, 12, 40, 42}, {0, 25, 40, 42}, {0, 38, 40, 42}, {0, 3, 12, 40}, {0, 12, 16, 40}, {0, 12, 29, 40}, {0, 1, 14, 40}, {0, 1, 27, 40}, {0, 2, 13, 40}, {0, 2, 26, 40}, {0, 3, 25, 40}, {0, 3, 38, 40}, {0, 16, 25, 40}, {0, 25, 29, 40}, {0, 13, 15, 40}, {0, 13, 28, 40}, {0, 14, 27, 40}, {0, 15, 26, 40}, {0, 16, 38, 40}, {0, 29, 38, 40}, {0, 26, 28, 40}, {0, 2, 12, 41}, {0, 12, 15, 41}, {0, 12, 28, 41}, {0, 1, 13, 41}, {0, 1, 26, 41}, {0, 2, 25, 41}, {0, 2, 38, 41}, {0, 15, 25, 41}, {0, 25, 28, 41}, {0, 13, 14, 41}, {0, 13, 27, 41}, {0, 14, 26, 41}, {0, 15, 38, 41}, {0, 28, 38, 41}, {0, 26, 27, 41}, {0, 1, 12, 42}, {0, 12, 14, 42}, {0, 12, 27, 42}, {0, 1, 25, 42}, {0, 1, 38, 42}, {0, 14, 25, 42}, {0, 25, 27, 42}, {0, 13, 26, 42}, {0, 14, 38, 42}, {0, 27, 38, 42}, {0, 12, 13, 43}, {0, 12, 26, 43}, {0, 13, 25, 43}, {0, 25, 26, 43}, {0, 13, 38, 43}, {0, 26, 38, 43}, {0, 12, 25, 44}, {0, 12, 38, 44}, {0, 25, 38, 44}, {0, 1, 3, 12}, {0, 1, 12, 16}, {0, 1, 12, 29}, {0, 2, 12, 15}, {0, 2, 12, 28}, {0, 3, 12, 14}, {0, 3, 12, 27}, {0, 4, 12, 13}, {0, 4, 12, 26}, {0, 5, 12, 25}, {0, 5, 12, 38}, {0, 12, 18, 25}, {0, 12, 25, 31}, {0, 12, 13, 17}, {0, 12, 13, 30}, {0, 12, 14, 16}, {0, 12, 14, 29}, {0, 12, 15, 28}, {0, 12, 16, 27}, {0, 12, 17, 26}, {0, 12, 18, 38}, {0, 12, 31, 38}, {0, 12, 26, 30}, {0, 12, 27, 29}, {0, 1, 2, 13}, {0, 1, 2, 26}, {0, 1, 3, 25}, {0, 1, 3, 38}, {0, 1, 16, 25}, {0, 1, 25, 29}, {0, 1, 13, 15}, {0, 1, 13, 28}, {0, 1, 14, 27}, {0, 1, 15, 26}, {0, 1, 16, 38}, {0, 1, 29, 38}, {0, 1, 26, 28}, {0, 2, 15, 25}, {0, 2, 25, 28}, {0, 2, 13, 14}, {0, 2, 13, 27}, {0, 2, 14, 26}, {0, 2, 15, 38}, {0, 2, 28, 38}, {0, 2, 26, 27}, {0, 3, 14, 25}, {0, 3, 25, 27}, {0, 3, 13, 26}, {0, 3, 14, 38}, {0, 3, 27, 38}, {0, 4, 13, 25}, {0, 4, 25, 26}, {0, 4, 13, 38}, {0, 4, 26, 38}, {0, 5, 25, 38}, {0, 13, 17, 25}, {0, 13, 25, 30}, {0, 14, 16, 25}, {0, 14, 25, 29}, {0, 15, 25, 28}, {0, 16, 25, 27}, {0, 17, 25, 26}, {0, 18, 25, 38}, {0, 25, 31, 38}, {0, 25, 26, 30}, {0, 25, 27, 29}, {0, 13, 14, 15}, {0, 13, 14, 28}, {0, 13, 15, 27}, {0, 13, 16, 26}, {0, 13, 17, 38}, {0, 13, 30, 38}, {0, 13, 26, 29}, {0, 13, 27, 28}, {0, 14, 15, 26}, {0, 14, 16, 38}, {0, 14, 29, 38}, {0, 14, 26, 28}, {0, 15, 28, 38}, {0, 15, 26, 27}, {0, 16, 27, 38}, {0, 17, 26, 38}, {0, 26, 30, 38}, {0, 27, 29, 38}, {0, 26, 27, 28}},
                {{0, 1, 39, 40, 51}, {0, 14, 39, 40, 51}, {0, 27, 39, 40, 51}, {0, 13, 39, 41, 51}, {0, 26, 39, 41, 51}, {0, 12, 39, 42, 51}, {0, 25, 39, 42, 51}, {0, 38, 39, 42, 51}, {0, 3, 12, 39, 51}, {0, 12, 16, 39, 51}, {0, 12, 29, 39, 51}, {0, 1, 14, 39, 51}, {0, 1, 27, 39, 51}, {0, 2, 13, 39, 51}, {0, 2, 26, 39, 51}, {0, 3, 25, 39, 51}, {0, 3, 38, 39, 51}, {0, 16, 25, 39, 51}, {0, 25, 29, 39, 51}, {0, 13, 15, 39, 51}, {0, 13, 28, 39, 51}, {0, 14, 27, 39, 51}, {0, 15, 26, 39, 51}, {0, 16, 38, 39, 51}, {0, 29, 38, 39, 51}, {0, 26, 28, 39, 51}, {0, 12, 40, 41, 51}, {0, 25, 40, 41, 51}, {0, 38, 40, 41, 51}, {0, 2, 12, 40, 51}, {0, 12, 15, 40, 51}, {0, 12, 28, 40, 51}, {0, 1, 13, 40, 51}, {0, 1, 26, 40, 51}, {0, 2, 25, 40, 51}, {0, 2, 38, 40, 51}, {0, 15, 25, 40, 51}, {0, 25, 28, 40, 51}, {0, 13, 14, 40, 51}, {0, 13, 27, 40, 51}, {0, 14, 26, 40, 51}, {0, 15, 38, 40, 51}, {0, 28, 38, 40, 51}, {0, 26, 27, 40, 51}, {0, 1, 12, 41, 51}, {0, 12, 14, 41, 51}, {0, 12, 27, 41, 51}, {0, 1, 25, 41, 51}, {0, 1, 38, 41, 51}, {0, 14, 25, 41, 51}, {0, 25, 27, 41, 51}, {0, 13, 26, 41, 51}, {0, 14, 38, 41, 51}, {0, 27, 38, 41, 51}, {0, 12, 13, 42, 51}, {0, 12, 26, 42, 51}, {0, 13, 25, 42, 51}, {0, 25, 26, 42, 51}, {0, 13, 38, 42, 51}, {0, 26, 38, 42, 51}, {0, 12, 25, 43, 51}, {0, 12, 38, 43, 51}, {0, 25, 38, 43, 51}, {0, 1, 2, 12, 51}, {0, 1, 12, 15, 51}, {0, 1, 12, 28, 51}, {0, 2, 12, 14, 51}, {0, 2, 12, 27, 51}, {0, 3, 12, 13, 51}, {0, 3, 12, 26, 51}, {0, 4, 12, 25, 51}, {0, 4, 12, 38, 51}, {0, 12, 17, 25, 51}, {0, 12, 25, 30, 51}, {0, 12, 13, 16, 51}, {0, 12, 13, 29, 51}, {0, 12, 14, 15, 51}, {0, 12, 14, 28, 51}, {0, 12, 15, 27, 51}, {0, 12, 16, 26, 51}, {0, 12, 17, 38, 51}, {0, 12, 30, 38, 51}, {0, 12, 26, 29, 51}, {0, 12, 27, 28, 51}, {0, 1, 2, 25, 51}, {0, 1, 2, 38, 51}, {0, 1, 15, 25, 51}, {0, 1, 25, 28, 51}, {0, 1, 13, 14, 51}, {0, 1, 13, 27, 51}, {0, 1, 14, 26, 51}, {0, 1, 15, 38, 51}, {0, 1, 28, 38, 51}, {0, 1, 26, 27, 51}, {0, 2, 14, 25, 51}, {0, 2, 25, 27, 51}, {0, 2, 13, 26, 51}, {0, 2, 14, 38, 51}, {0, 2, 27, 38, 51}, {0, 3, 13, 25, 51}, {0, 3, 25, 26, 51}, {0, 3, 13, 38, 51}, {0, 3, 26, 38, 51}, {0, 4, 25, 38, 51}, {0, 13, 16, 25, 51}, {0, 13, 25, 29, 51}, {0, 14, 15, 25, 51}, {0, 14, 25, 28, 51}, {0, 15, 25, 27, 51}, {0, 16, 25, 26, 51}, {0, 17, 25, 38, 51}, {0, 25, 30, 38, 51}, {0, 25, 26, 29, 51}, {0, 25, 27, 28, 51}, {0, 13, 14, 27, 51}, {0, 13, 15, 26, 51}, {0, 13, 16, 38, 51}, {0, 13, 29, 38, 51}, {0, 13, 26, 28, 51}, {0, 14, 15, 38, 51}, {0, 14, 28, 38, 51}, {0, 14, 26, 27, 51}, {0, 15, 27, 38, 51}, {0, 16, 26, 38, 51}, {0, 26, 29, 38, 51}, {0, 27, 28, 38, 51}, {0, 1, 12, 39, 40}, {0, 12, 14, 39, 40}, {0, 12, 27, 39, 40}, {0, 1, 25, 39, 40}, {0, 1, 38, 39, 40}, {0, 14, 25, 39, 40}, {0, 25, 27, 39, 40}, {0, 13, 26, 39, 40}, {0, 14, 38, 39, 40}, {0, 27, 38, 39, 40}, {0, 12, 13, 39, 41}, {0, 12, 26, 39, 41}, {0, 13, 25, 39, 41}, {0, 25, 26, 39, 41}, {0, 13, 38, 39, 41}, {0, 26, 38, 39, 41}, {0, 12, 25, 39, 42}, {0, 12, 38, 39, 42}, {0, 25, 38, 39, 42}, {0, 1, 12, 14, 39}, {0, 1, 12, 27, 39}, {0, 2, 12, 13, 39}, {0, 2, 12, 26, 39}, {0, 3, 12, 25, 39}, {0, 3, 12, 38, 39}, {0, 12, 16, 25, 39}, {0, 12, 25, 29, 39}, {0, 12, 13, 15, 39}, {0, 12, 13, 28, 39}, {0, 12, 14, 27, 39}, {0, 12, 15, 26, 39}, {0, 12, 16, 38, 39}, {0, 12, 29, 38, 39}, {0, 12, 26, 28, 39}, {0, 1, 14, 25, 39}, {0, 1, 25, 27, 39}, {0, 1, 13, 26, 39}, {0, 1, 14, 38, 39}, {0, 1, 27, 38, 39}, {0, 2, 13, 25, 39}, {0, 2, 25, 26, 39}, {0, 2, 13, 38, 39}, {0, 2, 26, 38, 39}, {0, 3, 25, 38, 39}, {0, 13, 15, 25, 39}, {0, 13, 25, 28, 39}, {0, 14, 25, 27, 39}, {0, 15, 25, 26, 39}, {0, 16, 25, 38, 39}, {0, 25, 29, 38, 39}, {0, 25, 26, 28, 39}, {0, 13, 14, 26, 39}, {0, 13, 15, 38, 39}, {0, 13, 28, 38, 39}, {0, 13, 26, 27, 39}, {0, 14, 27, 38, 39}, {0, 15, 26, 38, 39}, {0, 26, 28, 38, 39}, {0, 12, 25, 40, 41}, {0, 12, 38, 40, 41}, {0, 25, 38, 40, 41}, {0, 1, 12, 13, 40}, {0, 1, 12, 26, 40}, {0, 2, 12, 25, 40}, {0, 2, 12, 38, 40}, {0, 12, 15, 25, 40}, {0, 12, 25, 28, 40}, {0, 12, 13, 14, 40}, {0, 12, 13, 27, 40}, {0, 12, 14, 26, 40}, {0, 12, 15, 38, 40}, {0, 12, 28, 38, 40}, {0, 12, 26, 27, 40}, {0, 1, 13, 25, 40}, {0, 1, 25, 26, 40}, {0, 1, 13, 38, 40}, {0, 1, 26, 38, 40}, {0, 2, 25, 38, 40}, {0, 13, 14, 25, 40}, {0, 13, 25, 27, 40}, {0, 14, 25, 26, 40}, {0, 15, 25, 38, 40}, {0, 25, 28, 38, 40}, {0, 25, 26, 27, 40}, {0, 13, 14, 38, 40}, {0, 13, 27, 38, 40}, {0, 14, 26, 38, 40}, {0, 26, 27, 38, 40}, {0, 1, 12, 25, 41}, {0, 1, 12, 38, 41}, {0, 12, 14, 25, 41}, {0, 12, 25, 27, 41}, {0, 12, 13, 26, 41}, {0, 12, 14, 38, 41}, {0, 12, 27, 38, 41}, {0, 1, 25, 38, 41}, {0, 13, 25, 26, 41}, {0, 14, 25, 38, 41}, {0, 25, 27, 38, 41}, {0, 13, 26, 38, 41}, {0, 12, 13, 25, 42}, {0, 12, 25, 26, 42}, {0, 12, 13, 38, 42}, {0, 12, 26, 38, 42}, {0, 13, 25, 38, 42}, {0, 25, 26, 38, 42}, {0, 12, 25, 38, 43}, {0, 1, 2, 12, 25}, {0, 1, 2, 12, 38}, {0, 1, 12, 15, 25}, {0, 1, 12, 25, 28}, {0, 1, 12, 13, 14}, {0, 1, 12, 13, 27}, {0, 1, 12, 14, 26}, {0, 1, 12, 15, 38}, {0, 1, 12, 28, 38}, {0, 1, 12, 26, 27}, {0, 2, 12, 14, 25}, {0, 2, 12, 25, 27}, {0, 2, 12, 13, 26}, {0, 2, 12, 14, 38}, {0, 2, 12, 27, 38}, {0, 3, 12, 13, 25}, {0, 3, 12, 25, 26}, {0, 3, 12, 13, 38}, {0, 3, 12, 26, 38}, {0, 4, 12, 25, 38}, {0, 12, 13, 16, 25}, {0, 12, 13, 25, 29}, {0, 12, 14, 15, 25}, {0, 12, 14, 25, 28}, {0, 12, 15, 25, 27}, {0, 12, 16, 25, 26}, {0, 12, 17, 25, 38}, {0, 12, 25, 30, 38}, {0, 12, 25, 26, 29}, {0, 12, 25, 27, 28}, {0, 12, 13, 14, 27}, {0, 12, 13, 15, 26}, {0, 12, 13, 16, 38}, {0, 12, 13, 29, 38}, {0, 12, 13, 26, 28}, {0, 12, 14, 15, 38}, {0, 12, 14, 28, 38}, {0, 12, 14, 26, 27}, {0, 12, 15, 27, 38}, {0, 12, 16, 26, 38}, {0, 12, 26, 29, 38}, {0, 12, 27, 28, 38}, {0, 1, 2, 25, 38}, {0, 1, 13, 14, 25}, {0, 1, 13, 25, 27}, {0, 1, 14, 25, 26}, {0, 1, 15, 25, 38}, {0, 1, 25, 28, 38}, {0, 1, 25, 26, 27}, {0, 1, 13, 14, 38}, {0, 1, 13, 27, 38}, {0, 1, 14, 26, 38}, {0, 1, 26, 27, 38}, {0, 2, 13, 25, 26}, {0, 2, 14, 25, 38}, {0, 2, 25, 27, 38}, {0, 2, 13, 26, 38}, {0, 3, 13, 25, 38}, {0, 3, 25, 26, 38}, {0, 13, 14, 25, 27}, {0, 13, 15, 25, 26}, {0, 13, 16, 25, 38}, {0, 13, 25, 29, 38}, {0, 13, 25, 26, 28}, {0, 14, 15, 25, 38}, {0, 14, 25, 28, 38}, {0, 14, 25, 26, 27}, {0, 15, 25, 27, 38}, {0, 16, 25, 26, 38}, {0, 25, 26, 29, 38}, {0, 25, 27, 28, 38}, {0, 13, 14, 27, 38}, {0, 13, 15, 26, 38}, {0, 13, 26, 28, 38}, {0, 14, 26, 27, 38}},
                {{0, 12, 13, 39, 40, 51}, {0, 12, 26, 39, 40, 51}, {0, 13, 25, 39, 40, 51}, {0, 25, 26, 39, 40, 51}, {0, 13, 38, 39, 40, 51}, {0, 26, 38, 39, 40, 51}, {0, 12, 25, 39, 41, 51}, {0, 12, 38, 39, 41, 51}, {0, 25, 38, 39, 41, 51}, {0, 1, 12, 13, 39, 51}, {0, 1, 12, 26, 39, 51}, {0, 2, 12, 25, 39, 51}, {0, 2, 12, 38, 39, 51}, {0, 12, 15, 25, 39, 51}, {0, 12, 25, 28, 39, 51}, {0, 12, 13, 14, 39, 51}, {0, 12, 13, 27, 39, 51}, {0, 12, 14, 26, 39, 51}, {0, 12, 15, 38, 39, 51}, {0, 12, 28, 38, 39, 51}, {0, 12, 26, 27, 39, 51}, {0, 1, 13, 25, 39, 51}, {0, 1, 25, 26, 39, 51}, {0, 1, 13, 38, 39, 51}, {0, 1, 26, 38, 39, 51}, {0, 2, 25, 38, 39, 51}, {0, 13, 14, 25, 39, 51}, {0, 13, 25, 27, 39, 51}, {0, 14, 25, 26, 39, 51}, {0, 15, 25, 38, 39, 51}, {0, 25, 28, 38, 39, 51}, {0, 25, 26, 27, 39, 51}, {0, 13, 14, 38, 39, 51}, {0, 13, 27, 38, 39, 51}, {0, 14, 26, 38, 39, 51}, {0, 26, 27, 38, 39, 51}, {0, 1, 12, 25, 40, 51}, {0, 1, 12, 38, 40, 51}, {0, 12, 14, 25, 40, 51}, {0, 12, 25, 27, 40, 51}, {0, 12, 13, 26, 40, 51}, {0, 12, 14, 38, 40, 51}, {0, 12, 27, 38, 40, 51}, {0, 1, 25, 38, 40, 51}, {0, 13, 25, 26, 40, 51}, {0, 14, 25, 38, 40, 51}, {0, 25, 27, 38, 40, 51}, {0, 13, 26, 38, 40, 51}, {0, 12, 13, 25, 41, 51}, {0, 12, 25, 26, 41, 51}, {0, 12, 13, 38, 41, 51}, {0, 12, 26, 38, 41, 51}, {0, 13, 25, 38, 41, 51}, {0, 25, 26, 38, 41, 51}, {0, 12, 25, 38, 42, 51}, {0, 1, 12, 14, 25, 51}, {0, 1, 12, 25, 27, 51}, {0, 1, 12, 13, 26, 51}, {0, 1, 12, 14, 38, 51}, {0, 1, 12, 27, 38, 51}, {0, 2, 12, 13, 25, 51}, {0, 2, 12, 25, 26, 51}, {0, 2, 12, 13, 38, 51}, {0, 2, 12, 26, 38, 51}, {0, 3, 12, 25, 38, 51}, {0, 12, 13, 15, 25, 51}, {0, 12, 13, 25, 28, 51}, {0, 12, 14, 25, 27, 51}, {0, 12, 15, 25, 26, 51}, {0, 12, 16, 25, 38, 51}, {0, 12, 25, 29, 38, 51}, {0, 12, 25, 26, 28, 51}, {0, 12, 13, 14, 26, 51}, {0, 12, 13, 15, 38, 51}, {0, 12, 13, 28, 38, 51}, {0, 12, 13, 26, 27, 51}, {0, 12, 14, 27, 38, 51}, {0, 12, 15, 26, 38, 51}, {0, 12, 26, 28, 38, 51}, {0, 1, 13, 25, 26, 51}, {0, 1, 14, 25, 38, 51}, {0, 1, 25, 27, 38, 51}, {0, 1, 13, 26, 38, 51}, {0, 2, 13, 25, 38, 51}, {0, 2, 25, 26, 38, 51}, {0, 13, 14, 25, 26, 51}, {0, 13, 15, 25, 38, 51}, {0, 13, 25, 28, 38, 51}, {0, 13, 25, 26, 27, 51}, {0, 14, 25, 27, 38, 51}, {0, 15, 25, 26, 38, 51}, {0, 25, 26, 28, 38, 51}, {0, 13, 14, 26, 38, 51}, {0, 13, 26, 27, 38, 51}, {0, 12, 13, 25, 39, 40}, {0, 12, 25, 26, 39, 40}, {0, 12, 13, 38, 39, 40}, {0, 12, 26, 38, 39, 40}, {0, 13, 25, 38, 39, 40}, {0, 25, 26, 38, 39, 40}, {0, 12, 25, 38, 39, 41}, {0, 1, 12, 13, 25, 39}, {0, 1, 12, 25, 26, 39}, {0, 1, 12, 13, 38, 39}, {0, 1, 12, 26, 38, 39}, {0, 2, 12, 25, 38, 39}, {0, 12, 13, 14, 25, 39}, {0, 12, 13, 25, 27, 39}, {0, 12, 14, 25, 26, 39}, {0, 12, 15, 25, 38, 39}, {0, 12, 25, 28, 38, 39}, {0, 12, 25, 26, 27, 39}, {0, 12, 13, 14, 38, 39}, {0, 12, 13, 27, 38, 39}, {0, 12, 14, 26, 38, 39}, {0, 12, 26, 27, 38, 39}, {0, 1, 13, 25, 38, 39}, {0, 1, 25, 26, 38, 39}, {0, 13, 14, 25, 38, 39}, {0, 13, 25, 27, 38, 39}, {0, 14, 25, 26, 38, 39}, {0, 25, 26, 27, 38, 39}, {0, 1, 12, 25, 38, 40}, {0, 12, 13, 25, 26, 40}, {0, 12, 14, 25, 38, 40}, {0, 12, 25, 27, 38, 40}, {0, 12, 13, 26, 38, 40}, {0, 13, 25, 26, 38, 40}, {0, 12, 13, 25, 38, 41}, {0, 12, 25, 26, 38, 41}, {0, 1, 12, 13, 25, 26}, {0, 1, 12, 14, 25, 38}, {0, 1, 12, 25, 27, 38}, {0, 1, 12, 13, 26, 38}, {0, 2, 12, 13, 25, 38}, {0, 2, 12, 25, 26, 38}, {0, 12, 13, 14, 25, 26}, {0, 12, 13, 15, 25, 38}, {0, 12, 13, 25, 28, 38}, {0, 12, 13, 25, 26, 27}, {0, 12, 14, 25, 27, 38}, {0, 12, 15, 25, 26, 38}, {0, 12, 25, 26, 28, 38}, {0, 12, 13, 14, 26, 38}, {0, 12, 13, 26, 27, 38}, {0, 1, 13, 25, 26, 38}, {0, 13, 14, 25, 26, 38}, {0, 13, 25, 26, 27, 38}}
            },
            {
                {{1, 45}, {1, 6}, {1, 19}, {1, 32}},
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            {
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                {{2, 39, 41, 51}, {2, 15, 39, 51}, {2, 28, 39, 51}, {1, 2, 40, 51}, {2, 14, 40, 51}, {2, 27, 40, 51}, {0, 2, 41, 51}, {2, 13, 41, 51}, {2, 26, 41, 51}, {2, 12, 42, 51}, {2, 25, 42, 51}, {2, 38, 42, 51}, {2, 3, 12, 51}, {2, 12, 16, 51}, {2, 12, 29, 51}, {0, 2, 15, 51}, {0, 2, 28, 51}, {1, 2, 14, 51}, {1, 2, 27, 51}, {2, 3, 25, 51}, {2, 3, 38, 51}, {2, 16, 25, 51}, {2, 25, 29, 51}, {2, 13, 15, 51}, {2, 13, 28, 51}, {2, 14, 27, 51}, {2, 15, 26, 51}, {2, 16, 38, 51}, {2, 29, 38, 51}, {2, 26, 28, 51}, {0, 2, 39, 40}, {2, 13, 39, 40}, {2, 26, 39, 40}, {2, 12, 39, 41}, {2, 25, 39, 41}, {2, 38, 39, 41}, {2, 12, 15, 39}, {2, 12, 28, 39}, {0, 1, 2, 39}, {0, 2, 14, 39}, {0, 2, 27, 39}, {1, 2, 13, 39}, {1, 2, 26, 39}, {2, 15, 25, 39}, {2, 25, 28, 39}, {2, 13, 14, 39}, {2, 13, 27, 39}, {2, 14, 26, 39}, {2, 15, 38, 39}, {2, 28, 38, 39}, {2, 26, 27, 39}, {1, 2, 12, 40}, {2, 12, 14, 40}, {2, 12, 27, 40}, {0, 2, 13, 40}, {0, 2, 26, 40}, {1, 2, 25, 40}, {1, 2, 38, 40}, {2, 14, 25, 40}, {2, 25, 27, 40}, {2, 13, 26, 40}, {2, 14, 38, 40}, {2, 27, 38, 40}, {0, 2, 12, 41}, {2, 12, 13, 41}, {2, 12, 26, 41}, {0, 2, 25, 41}, {0, 2, 38, 41}, {2, 13, 25, 41}, {2, 25, 26, 41}, {2, 13, 38, 41}, {2, 26, 38, 41}, {2, 12, 25, 42}, {2, 12, 38, 42}, {2, 25, 38, 42}, {0, 2, 12, 15}, {0, 2, 12, 28}, {1, 2, 12, 14}, {1, 2, 12, 27}, {2, 3, 12, 25}, {2, 3, 12, 38}, {2, 12, 16, 25}, {2, 12, 25, 29}, {2, 12, 13, 15}, {2, 12, 13, 28}, {2, 12, 14, 27}, {2, 12, 15, 26}, {2, 12, 16, 38}, {2, 12, 29, 38}, {2, 12, 26, 28}, {0, 1, 2, 13}, {0, 1, 2, 26}, {0, 2, 15, 25}, {0, 2, 25, 28}, {0, 2, 13, 14}, {0, 2, 13, 27}, {0, 2, 14, 26}, {0, 2, 15, 38}, {0, 2, 28, 38}, {0, 2, 26, 27}, {1, 2, 14, 25}, {1, 2, 25, 27}, {1, 2, 13, 26}, {1, 2, 14, 38}, {1, 2, 27, 38}, {2, 3, 25, 38}, {2, 13, 15, 25}, {2, 13, 25, 28}, {2, 14, 25, 27}, {2, 15, 25, 26}, {2, 16, 25, 38}, {2, 25, 29, 38}, {2, 25, 26, 28}, {2, 13, 14, 26}, {2, 13, 15, 38}, {2, 13, 28, 38}, {2, 13, 26, 27}, {2, 14, 27, 38}, {2, 15, 26, 38}, {2, 26, 28, 38}},
                {{2, 12, 39, 40, 51}, {2, 25, 39, 40, 51}, {2, 38, 39, 40, 51}, {1, 2, 12, 39, 51}, {2, 12, 14, 39, 51}, {2, 12, 27, 39, 51}, {0, 2, 13, 39, 51}, {0, 2, 26, 39, 51}, {1, 2, 25, 39, 51}, {1, 2, 38, 39, 51}, {2, 14, 25, 39, 51}, {2, 25, 27, 39, 51}, {2, 13, 26, 39, 51}, {2, 14, 38, 39, 51}, {2, 27, 38, 39, 51}, {0, 2, 12, 40, 51}, {2, 12, 13, 40, 51}, {2, 12, 26, 40, 51}, {0, 2, 25, 40, 51}, {0, 2, 38, 40, 51}, {2, 13, 25, 40, 51}, {2, 25, 26, 40, 51}, {2, 13, 38, 40, 51}, {2, 26, 38, 40, 51}, {2, 12, 25, 41, 51}, {2, 12, 38, 41, 51}, {2, 25, 38, 41, 51}, {0, 1, 2, 12, 51}, {0, 2, 12, 14, 51}, {0, 2, 12, 27, 51}, {1, 2, 12, 13, 51}, {1, 2, 12, 26, 51}, {2, 12, 15, 25, 51}, {2, 12, 25, 28, 51}, {2, 12, 13, 14, 51}, {2, 12, 13, 27, 51}, {2, 12, 14, 26, 51}, {2, 12, 15, 38, 51}, {2, 12, 28, 38, 51}, {2, 12, 26, 27, 51}, {0, 1, 2, 25, 51}, {0, 1, 2, 38, 51}, {0, 2, 14, 25, 51}, {0, 2, 25, 27, 51}, {0, 2, 13, 26, 51}, {0, 2, 14, 38, 51}, {0, 2, 27, 38, 51}, {1, 2, 13, 25, 51}, {1, 2, 25, 26, 51}, {1, 2, 13, 38, 51}, {1, 2, 26, 38, 51}, {2, 13, 14, 25, 51}, {2, 13, 25, 27, 51}, {2, 14, 25, 26, 51}, {2, 15, 25, 38, 51}, {2, 25, 28, 38, 51}, {2, 25, 26, 27, 51}, {2, 13, 14, 38, 51}, {2, 13, 27, 38, 51}, {2, 14, 26, 38, 51}, {2, 26, 27, 38, 51}, {2, 12, 25, 39, 40}, {2, 12, 38, 39, 40}, {2, 25, 38, 39, 40}, {0, 2, 12, 13, 39}, {0, 2, 12, 26, 39}, {1, 2, 12, 25, 39}, {1, 2, 12, 38, 39}, {2, 12, 14, 25, 39}, {2, 12, 25, 27, 39}, {2, 12, 13, 26, 39}, {2, 12, 14, 38, 39}, {2, 12, 27, 38, 39}, {0, 2, 13, 25, 39}, {0, 2, 25, 26, 39}, {0, 2, 13, 38, 39}, {0, 2, 26, 38, 39}, {1, 2, 25, 38, 39}, {2, 13, 25, 26, 39}, {2, 14, 25, 38, 39}, {2, 25, 27, 38, 39}, {2, 13, 26, 38, 39}, {0, 2, 12, 25, 40}, {0, 2, 12, 38, 40}, {2, 12, 13, 25, 40}, {2, 12, 25, 26, 40}, {2, 12, 13, 38, 40}, {2, 12, 26, 38, 40}, {0, 2, 25, 38, 40}, {2, 13, 25, 38, 40}, {2, 25, 26, 38, 40}, {2, 12, 25, 38, 41}, {0, 1, 2, 12, 25}, {0, 1, 2, 12, 38}, {0, 2, 12, 14, 25}, {0, 2, 12, 25, 27}, {0, 2, 12, 13, 26}, {0, 2, 12, 14, 38}, {0, 2, 12, 27, 38}, {1, 2, 12, 13, 25}, {1, 2, 12, 25, 26}, {1, 2, 12, 13, 38}, {1, 2, 12, 26, 38}, {2, 12, 13, 14, 25}, {2, 12, 13, 25, 27}, {2, 12, 14, 25, 26}, {2, 12, 15, 25, 38}, {2, 12, 25, 28, 38}, {2, 12, 25, 26, 27}, {2, 12, 13, 14, 38}, {2, 12, 13, 27, 38}, {2, 12, 14, 26, 38}, {2, 12, 26, 27, 38}, {0, 1, 2, 25, 38}, {0, 2, 13, 25, 26}, {0, 2, 14, 25, 38}, {0, 2, 25, 27, 38}, {0, 2, 13, 26, 38}, {1, 2, 13, 25, 38}, {1, 2, 25, 26, 38}, {2, 13, 14, 25, 38}, {2, 13, 25, 27, 38}, {2, 14, 25, 26, 38}, {2, 25, 26, 27, 38}},
                {{0, 2, 12, 25, 39, 51}, {0, 2, 12, 38, 39, 51}, {2, 12, 13, 25, 39, 51}, {2, 12, 25, 26, 39, 51}, {2, 12, 13, 38, 39, 51}, {2, 12, 26, 38, 39, 51}, {0, 2, 25, 38, 39, 51}, {2, 13, 25, 38, 39, 51}, {2, 25, 26, 38, 39, 51}, {2, 12, 25, 38, 40, 51}, {0, 2, 12, 13, 25, 51}, {0, 2, 12, 25, 26, 51}, {0, 2, 12, 13, 38, 51}, {0, 2, 12, 26, 38, 51}, {1, 2, 12, 25, 38, 51}, {2, 12, 13, 25, 26, 51}, {2, 12, 14, 25, 38, 51}, {2, 12, 25, 27, 38, 51}, {2, 12, 13, 26, 38, 51}, {0, 2, 13, 25, 38, 51}, {0, 2, 25, 26, 38, 51}, {2, 13, 25, 26, 38, 51}, {0, 2, 12, 25, 38, 39}, {2, 12, 13, 25, 38, 39}, {2, 12, 25, 26, 38, 39}, {0, 2, 12, 13, 25, 38}, {0, 2, 12, 25, 26, 38}, {2, 12, 13, 25, 26, 38}}
            },
            {
                {{3, 43}, {3, 4}, {3, 17}, {3, 30}},
                {{3, 42, 51}, {3, 16, 51}, {3, 29, 51}, {3, 39, 41}, {2, 3, 39}, {3, 15, 39}, {3, 28, 39}, {1, 3, 40}, {3, 14, 40}, {3, 27, 40}, {0, 3, 41}, {3, 13, 41}, {3, 26, 41}, {3, 12, 42}, {3, 25, 42}, {3, 38, 42}, {3, 12, 16}, {3, 12, 29}, {0, 2, 3}, {0, 3, 15}, {0, 3, 28}, {1, 3, 14}, {1, 3, 27}, {2, 3, 13}, {2, 3, 26}, {3, 16, 25}, {3, 25, 29}, {3, 13, 15}, {3, 13, 28}, {3, 14, 27}, {3, 15, 26}, {3, 16, 38}, {3, 29, 38}, {3, 26, 28}},
                {{3, 39, 40, 51}, {1, 3, 39, 51}, {3, 14, 39, 51}, {3, 27, 39, 51}, {0, 3, 40, 51}, {3, 13, 40, 51}, {3, 26, 40, 51}, {3, 12, 41, 51}, {3, 25, 41, 51}, {3, 38, 41, 51}, {2, 3, 12, 51}, {3, 12, 15, 51}, {3, 12, 28, 51}, {0, 1, 3, 51}, {0, 3, 14, 51}, {0, 3, 27, 51}, {1, 3, 13, 51}, {1, 3, 26, 51}, {2, 3, 25, 51}, {2, 3, 38, 51}, {3, 15, 25, 51}, {3, 25, 28, 51}, {3, 13, 14, 51}, {3, 13, 27, 51}, {3, 14, 26, 51}, {3, 15, 38, 51}, {3, 28, 38, 51}, {3, 26, 27, 51}, {3, 12, 39, 40}, {3, 25, 39, 40}, {3, 38, 39, 40}, {1, 3, 12, 39}, {3, 12, 14, 39}, {3, 12, 27, 39}, {0, 3, 13, 39}, {0, 3, 26, 39}, {1, 3, 25, 39}, {1, 3, 38, 39}, {3, 14, 25, 39}, {3, 25, 27, 39}, {3, 13, 26, 39}, {3, 14, 38, 39}, {3, 27, 38, 39}, {0, 3, 12, 40}, {3, 12, 13, 40}, {3, 12, 26, 40}, {0, 3, 25, 40}, {0, 3, 38, 40}, {3, 13, 25, 40}, {3, 25, 26, 40}, {3, 13, 38, 40}, {3, 26, 38, 40}, {3, 12, 25, 41}, {3, 12, 38, 41}, {3, 25, 38, 41}, {0, 1, 3, 12}, {0, 3, 12, 14}, {0, 3, 12, 27}, {1, 3, 12, 13}, {1, 3, 12, 26}, {2, 3, 12, 25}, {2, 3, 12, 38}, {3, 12, 15, 25}, {3, 12, 25, 28}, {3, 12, 13, 14}, {3, 12, 13, 27}, {3, 12, 14, 26}, {3, 12, 15, 38}, {3, 12, 28, 38}, {3, 12, 26, 27}, {0, 1, 3, 25}, {0, 1, 3, 38}, {0, 3, 14, 25}, {0, 3, 25, 27}, {0, 3, 13, 26}, {0, 3, 14, 38}, {0, 3, 27, 38}, {1, 3, 13, 25}, {1, 3, 25, 26}, {1, 3, 13, 38}, {1, 3, 26, 38}, {2, 3, 25, 38}, {3, 13, 14, 25}, {3, 13, 25, 27}, {3, 14, 25, 26}, {3, 15, 25, 38}, {3, 25, 28, 38}, {3, 25, 26, 27}, {3, 13, 14, 38}, {3, 13, 27, 38}, {3, 14, 26, 38}, {3, 26, 27, 38}},
                {{0, 3, 12, 39, 51}, {3, 12, 13, 39, 51}, {3, 12, 26, 39, 51}, {0, 3, 25, 39, 51}, {0, 3, 38, 39, 51}, {3, 13, 25, 39, 51}, {3, 25, 26, 39, 51}, {3, 13, 38, 39, 51}, {3, 26, 38, 39, 51}, {3, 12, 25, 40, 51}, {3, 12, 38, 40, 51}, {3, 25, 38, 40, 51}, {0, 3, 12, 13, 51}, {0, 3, 12, 26, 51}, {1, 3, 12, 25, 51}, {1, 3, 12, 38, 51}, {3, 12, 14, 25, 51}, {3, 12, 25, 27, 51}, {3, 12, 13, 26, 51}, {3, 12, 14, 38, 51}, {3, 12, 27, 38, 51}, {0, 3, 13, 25, 51}, {0, 3, 25, 26, 51}, {0, 3, 13, 38, 51}, {0, 3, 26, 38, 51}, {1, 3, 25, 38, 51}, {3, 13, 25, 26, 51}, {3, 14, 25, 38, 51}, {3, 25, 27, 38, 51}, {3, 13, 26, 38, 51}, {0, 3, 12, 25, 39}, {0, 3, 12, 38, 39}, {3, 12, 13, 25, 39}, {3, 12, 25, 26, 39}, {3, 12, 13, 38, 39}, {3, 12, 26, 38, 39}, {0, 3, 25, 38, 39}, {3, 13, 25, 38, 39}, {3, 25, 26, 38, 39}, {3, 12, 25, 38, 40}, {0, 3, 12, 13, 25}, {0, 3, 12, 25, 26}, {0, 3, 12, 13, 38}, {0, 3, 12, 26, 38}, {1, 3, 12, 25, 38}, {3, 12, 13, 25, 26}, {3, 12, 14, 25, 38}, {3, 12, 25, 27, 38}, {3, 12, 13, 26, 38}, {0, 3, 13, 25, 38}, {0, 3, 25, 26, 38}, {3, 13, 25, 26, 38}},
                {{3, 12, 25, 38, 39, 51}, {0, 3, 12, 25, 38, 51}, {3, 12, 13, 25, 38, 51}, {3, 12, 25, 26, 38, 51}}
            },
            {
                {{4, 42}, {3, 4}, {4, 16}, {4, 29}},
                {{4, 41, 51}, {2, 4, 51}, {4, 15, 51}, {4, 28, 51}, {4, 39, 40}, {1, 4, 39}, {4, 14, 39}, {4, 27, 39}, {0, 4, 40}, {4, 13, 40}, {4, 26, 40}, {4, 12, 41}, {4, 25, 41}, {4, 38, 41}, {2, 4, 12}, {4, 12, 15}, {4, 12, 28}, {0, 1, 4}, {0, 4, 14}, {0, 4, 27}, {1, 4, 13}, {1, 4, 26}, {2, 4, 25}, {2, 4, 38}, {4, 15, 25}, {4, 25, 28}, {4, 13, 14}, {4, 13, 27}, {4, 14, 26}, {4, 15, 38}, {4, 28, 38}, {4, 26, 27}},
                {{0, 4, 39, 51}, {4, 13, 39, 51}, {4, 26, 39, 51}, {4, 12, 40, 51}, {4, 25, 40, 51}, {4, 38, 40, 51}, {1, 4, 12, 51}, {4, 12, 14, 51}, {4, 12, 27, 51}, {0, 4, 13, 51}, {0, 4, 26, 51}, {1, 4, 25, 51}, {1, 4, 38, 51}, {4, 14, 25, 51}, {4, 25, 27, 51}, {4, 13, 26, 51}, {4, 14, 38, 51}, {4, 27, 38, 51}, {0, 4, 12, 39}, {4, 12, 13, 39}, {4, 12, 26, 39}, {0, 4, 25, 39}, {0, 4, 38, 39}, {4, 13, 25, 39}, {4, 25, 26, 39}, {4, 13, 38, 39}, {4, 26, 38, 39}, {4, 12, 25, 40}, {4, 12, 38, 40}, {4, 25, 38, 40}, {0, 4, 12, 13}, {0, 4, 12, 26}, {1, 4, 12, 25}, {1, 4, 12, 38}, {4, 12, 14, 25}, {4, 12, 25, 27}, {4, 12, 13, 26}, {4, 12, 14, 38}, {4, 12, 27, 38}, {0, 4, 13, 25}, {0, 4, 25, 26}, {0, 4, 13, 38}, {0, 4, 26, 38}, {1, 4, 25, 38}, {4, 13, 25, 26}, {4, 14, 25, 38}, {4, 25, 27, 38}, {4, 13, 26, 38}},
                {{4, 12, 25, 39, 51}, {4, 12, 38, 39, 51}, {4, 25, 38, 39, 51}, {0, 4, 12, 25, 51}, {0, 4, 12, 38, 51}, {4, 12, 13, 25, 51}, {4, 12, 25, 26, 51}, {4, 12, 13, 38, 51}, {4, 12, 26, 38, 51}, {0, 4, 25, 38, 51}, {4, 13, 25, 38, 51}, {4, 25, 26, 38, 51}, {4, 12, 25, 38, 39}, {0, 4, 12, 25, 38}, {4, 12, 13, 25, 38}, {4, 12, 25, 26, 38}},
                {}
            },
            {
                {{5, 41}, {2, 5}, {5, 15}, {5, 28}},
                {{5, 40, 51}, {1, 5, 51}, {5, 14, 51}, {5, 27, 51}, {0, 5, 39}, {5, 13, 39}, {5, 26, 39}, {5, 12, 40}, {5, 25, 40}, {5, 38, 40}, {1, 5, 12}, {5, 12, 14}, {5, 12, 27}, {0, 5, 13}, {0, 5, 26}, {1, 5, 25}, {1, 5, 38}, {5, 14, 25}, {5, 25, 27}, {5, 13, 26}, {5, 14, 38}, {5, 27, 38}},
                {{5, 12, 39, 51}, {5, 25, 39, 51}, {5, 38, 39, 51}, {0, 5, 12, 51}, {5, 12, 13, 51}, {5, 12, 26, 51}, {0, 5, 25, 51}, {0, 5, 38, 51}, {5, 13, 25, 51}, {5, 25, 26, 51}, {5, 13, 38, 51}, {5, 26, 38, 51}, {5, 12, 25, 39}, {5, 12, 38, 39}, {5, 25, 38, 39}, {0, 5, 12, 25}, {0, 5, 12, 38}, {5, 12, 13, 25}, {5, 12, 25, 26}, {5, 12, 13, 38}, {5, 12, 26, 38}, {0, 5, 25, 38}, {5, 13, 25, 38}, {5, 25, 26, 38}},
                {{5, 12, 25, 38, 51}},
                {}
            },
            {
                {{6, 40}, {1, 6}, {6, 14}, {6, 27}},
                {{6, 39, 51}, {0, 6, 51}, {6, 13, 51}, {6, 26, 51}, {6, 12, 39}, {6, 25, 39}, {6, 38, 39}, {0, 6, 12}, {6, 12, 13}, {6, 12, 26}, {0, 6, 25}, {0, 6, 38}, {6, 13, 25}, {6, 25, 26}, {6, 13, 38}, {6, 26, 38}},
                {{6, 12, 25, 51}, {6, 12, 38, 51}, {6, 25, 38, 51}, {6, 12, 25, 38}},
                {},
                {}
            },
            {
                {{7, 39}, {0, 7}, {7, 13}, {7, 26}},
                {{7, 12, 51}, {7, 25, 51}, {7, 38, 51}, {7, 12, 25}, {7, 12, 38}, {7, 25, 38}},
                {},
                {},
                {}
            },
            {
                {{8, 51}, {8, 12}, {8, 25}, {8, 38}},
                {},
                {},
                {},
                {}
            },
            {
                // Js
            },
            {
                {{10, 23},{10, 36},{10, 49}},
                {},
                {},
                {},
                {}
            },
            {
                {{11, 24},{11, 37},{11, 50}},
                {},
                {},
                {},
                {}
            },
            {
                {{12, 47}, {8, 12}, {12, 21}, {12, 34}},
                {{12, 46, 51}, {7, 12, 51}, {12, 20, 51}, {12, 33, 51}, {12, 39, 45}, {6, 12, 39}, {12, 19, 39}, {12, 32, 39}, {12, 40, 44}, {5, 12, 40}, {12, 18, 40}, {12, 31, 40}, {12, 41, 43}, {4, 12, 41}, {12, 17, 41}, {12, 30, 41}, {3, 12, 42}, {12, 16, 42}, {12, 29, 42}, {2, 12, 43}, {12, 15, 43}, {12, 28, 43}, {1, 12, 44}, {12, 14, 44}, {12, 27, 44}, {0, 12, 45}, {12, 13, 45}, {12, 26, 45}, {12, 25, 46}, {12, 38, 46}, {0, 6, 12}, {0, 12, 19}, {0, 12, 32}, {1, 5, 12}, {1, 12, 18}, {1, 12, 31}, {2, 4, 12}, {2, 12, 17}, {2, 12, 30}, {3, 12, 16}, {3, 12, 29}, {4, 12, 15}, {4, 12, 28}, {5, 12, 14}, {5, 12, 27}, {6, 12, 13}, {6, 12, 26}, {7, 12, 25}, {7, 12, 38}, {12, 20, 25}, {12, 25, 33}, {12, 13, 19}, {12, 13, 32}, {12, 14, 18}, {12, 14, 31}, {12, 15, 17}, {12, 15, 30}, {12, 16, 29}, {12, 17, 28}, {12, 18, 27}, {12, 19, 26}, {12, 20, 38}, {12, 33, 38}, {12, 26, 32}, {12, 27, 31}, {12, 28, 30}},
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                {{15, 39, 41, 51}, {2, 15, 39, 51}, {15, 28, 39, 51}, {1, 15, 40, 51}, {14, 15, 40, 51}, {15, 27, 40, 51}, {0, 15, 41, 51}, {13, 15, 41, 51}, {15, 26, 41, 51}, {12, 15, 42, 51}, {15, 25, 42, 51}, {15, 38, 42, 51}, {3, 12, 15, 51}, {12, 15, 16, 51}, {12, 15, 29, 51}, {0, 2, 15, 51}, {0, 15, 28, 51}, {1, 14, 15, 51}, {1, 15, 27, 51}, {2, 13, 15, 51}, {2, 15, 26, 51}, {3, 15, 25, 51}, {3, 15, 38, 51}, {15, 16, 25, 51}, {15, 25, 29, 51}, {13, 15, 28, 51}, {14, 15, 27, 51}, {15, 16, 38, 51}, {15, 29, 38, 51}, {15, 26, 28, 51}, {0, 15, 39, 40}, {13, 15, 39, 40}, {15, 26, 39, 40}, {12, 15, 39, 41}, {15, 25, 39, 41}, {15, 38, 39, 41}, {2, 12, 15, 39}, {12, 15, 28, 39}, {0, 1, 15, 39}, {0, 14, 15, 39}, {0, 15, 27, 39}, {1, 13, 15, 39}, {1, 15, 26, 39}, {2, 15, 25, 39}, {2, 15, 38, 39}, {15, 25, 28, 39}, {13, 14, 15, 39}, {13, 15, 27, 39}, {14, 15, 26, 39}, {15, 28, 38, 39}, {15, 26, 27, 39}, {1, 12, 15, 40}, {12, 14, 15, 40}, {12, 15, 27, 40}, {0, 13, 15, 40}, {0, 15, 26, 40}, {1, 15, 25, 40}, {1, 15, 38, 40}, {14, 15, 25, 40}, {15, 25, 27, 40}, {13, 15, 26, 40}, {14, 15, 38, 40}, {15, 27, 38, 40}, {0, 12, 15, 41}, {12, 13, 15, 41}, {12, 15, 26, 41}, {0, 15, 25, 41}, {0, 15, 38, 41}, {13, 15, 25, 41}, {15, 25, 26, 41}, {13, 15, 38, 41}, {15, 26, 38, 41}, {12, 15, 25, 42}, {12, 15, 38, 42}, {15, 25, 38, 42}, {0, 2, 12, 15}, {0, 12, 15, 28}, {1, 12, 14, 15}, {1, 12, 15, 27}, {2, 12, 13, 15}, {2, 12, 15, 26}, {3, 12, 15, 25}, {3, 12, 15, 38}, {12, 15, 16, 25}, {12, 15, 25, 29}, {12, 13, 15, 28}, {12, 14, 15, 27}, {12, 15, 16, 38}, {12, 15, 29, 38}, {12, 15, 26, 28}, {0, 1, 13, 15}, {0, 1, 15, 26}, {0, 2, 15, 25}, {0, 2, 15, 38}, {0, 15, 25, 28}, {0, 13, 14, 15}, {0, 13, 15, 27}, {0, 14, 15, 26}, {0, 15, 28, 38}, {0, 15, 26, 27}, {1, 14, 15, 25}, {1, 15, 25, 27}, {1, 13, 15, 26}, {1, 14, 15, 38}, {1, 15, 27, 38}, {2, 13, 15, 25}, {2, 15, 25, 26}, {2, 13, 15, 38}, {2, 15, 26, 38}, {3, 15, 25, 38}, {13, 15, 25, 28}, {14, 15, 25, 27}, {15, 16, 25, 38}, {15, 25, 29, 38}, {15, 25, 26, 28}, {13, 14, 15, 26}, {13, 15, 28, 38}, {13, 15, 26, 27}, {14, 15, 27, 38}, {15, 26, 28, 38}},
                {{12, 15, 39, 40, 51}, {15, 25, 39, 40, 51}, {15, 38, 39, 40, 51}, {1, 12, 15, 39, 51}, {12, 14, 15, 39, 51}, {12, 15, 27, 39, 51}, {0, 13, 15, 39, 51}, {0, 15, 26, 39, 51}, {1, 15, 25, 39, 51}, {1, 15, 38, 39, 51}, {14, 15, 25, 39, 51}, {15, 25, 27, 39, 51}, {13, 15, 26, 39, 51}, {14, 15, 38, 39, 51}, {15, 27, 38, 39, 51}, {0, 12, 15, 40, 51}, {12, 13, 15, 40, 51}, {12, 15, 26, 40, 51}, {0, 15, 25, 40, 51}, {0, 15, 38, 40, 51}, {13, 15, 25, 40, 51}, {15, 25, 26, 40, 51}, {13, 15, 38, 40, 51}, {15, 26, 38, 40, 51}, {12, 15, 25, 41, 51}, {12, 15, 38, 41, 51}, {15, 25, 38, 41, 51}, {0, 1, 12, 15, 51}, {0, 12, 14, 15, 51}, {0, 12, 15, 27, 51}, {1, 12, 13, 15, 51}, {1, 12, 15, 26, 51}, {2, 12, 15, 25, 51}, {2, 12, 15, 38, 51}, {12, 15, 25, 28, 51}, {12, 13, 14, 15, 51}, {12, 13, 15, 27, 51}, {12, 14, 15, 26, 51}, {12, 15, 28, 38, 51}, {12, 15, 26, 27, 51}, {0, 1, 15, 25, 51}, {0, 1, 15, 38, 51}, {0, 14, 15, 25, 51}, {0, 15, 25, 27, 51}, {0, 13, 15, 26, 51}, {0, 14, 15, 38, 51}, {0, 15, 27, 38, 51}, {1, 13, 15, 25, 51}, {1, 15, 25, 26, 51}, {1, 13, 15, 38, 51}, {1, 15, 26, 38, 51}, {2, 15, 25, 38, 51}, {13, 14, 15, 25, 51}, {13, 15, 25, 27, 51}, {14, 15, 25, 26, 51}, {15, 25, 28, 38, 51}, {15, 25, 26, 27, 51}, {13, 14, 15, 38, 51}, {13, 15, 27, 38, 51}, {14, 15, 26, 38, 51}, {15, 26, 27, 38, 51}, {12, 15, 25, 39, 40}, {12, 15, 38, 39, 40}, {15, 25, 38, 39, 40}, {0, 12, 13, 15, 39}, {0, 12, 15, 26, 39}, {1, 12, 15, 25, 39}, {1, 12, 15, 38, 39}, {12, 14, 15, 25, 39}, {12, 15, 25, 27, 39}, {12, 13, 15, 26, 39}, {12, 14, 15, 38, 39}, {12, 15, 27, 38, 39}, {0, 13, 15, 25, 39}, {0, 15, 25, 26, 39}, {0, 13, 15, 38, 39}, {0, 15, 26, 38, 39}, {1, 15, 25, 38, 39}, {13, 15, 25, 26, 39}, {14, 15, 25, 38, 39}, {15, 25, 27, 38, 39}, {13, 15, 26, 38, 39}, {0, 12, 15, 25, 40}, {0, 12, 15, 38, 40}, {12, 13, 15, 25, 40}, {12, 15, 25, 26, 40}, {12, 13, 15, 38, 40}, {12, 15, 26, 38, 40}, {0, 15, 25, 38, 40}, {13, 15, 25, 38, 40}, {15, 25, 26, 38, 40}, {12, 15, 25, 38, 41}, {0, 1, 12, 15, 25}, {0, 1, 12, 15, 38}, {0, 12, 14, 15, 25}, {0, 12, 15, 25, 27}, {0, 12, 13, 15, 26}, {0, 12, 14, 15, 38}, {0, 12, 15, 27, 38}, {1, 12, 13, 15, 25}, {1, 12, 15, 25, 26}, {1, 12, 13, 15, 38}, {1, 12, 15, 26, 38}, {2, 12, 15, 25, 38}, {12, 13, 14, 15, 25}, {12, 13, 15, 25, 27}, {12, 14, 15, 25, 26}, {12, 15, 25, 28, 38}, {12, 15, 25, 26, 27}, {12, 13, 14, 15, 38}, {12, 13, 15, 27, 38}, {12, 14, 15, 26, 38}, {12, 15, 26, 27, 38}, {0, 1, 15, 25, 38}, {0, 13, 15, 25, 26}, {0, 14, 15, 25, 38}, {0, 15, 25, 27, 38}, {0, 13, 15, 26, 38}, {1, 13, 15, 25, 38}, {1, 15, 25, 26, 38}, {13, 14, 15, 25, 38}, {13, 15, 25, 27, 38}, {14, 15, 25, 26, 38}, {15, 25, 26, 27, 38}},
                {{0, 12, 15, 25, 39, 51}, {0, 12, 15, 38, 39, 51}, {12, 13, 15, 25, 39, 51}, {12, 15, 25, 26, 39, 51}, {12, 13, 15, 38, 39, 51}, {12, 15, 26, 38, 39, 51}, {0, 15, 25, 38, 39, 51}, {13, 15, 25, 38, 39, 51}, {15, 25, 26, 38, 39, 51}, {12, 15, 25, 38, 40, 51}, {0, 12, 13, 15, 25, 51}, {0, 12, 15, 25, 26, 51}, {0, 12, 13, 15, 38, 51}, {0, 12, 15, 26, 38, 51}, {1, 12, 15, 25, 38, 51}, {12, 13, 15, 25, 26, 51}, {12, 14, 15, 25, 38, 51}, {12, 15, 25, 27, 38, 51}, {12, 13, 15, 26, 38, 51}, {0, 13, 15, 25, 38, 51}, {0, 15, 25, 26, 38, 51}, {13, 15, 25, 26, 38, 51}, {0, 12, 15, 25, 38, 39}, {12, 13, 15, 25, 38, 39}, {12, 15, 25, 26, 38, 39}, {0, 12, 13, 15, 25, 38}, {0, 12, 15, 25, 26, 38}, {12, 13, 15, 25, 26, 38}}
            },
            {
                {{16, 43}, {4, 16}, {16, 17}, {16, 30}},
                {{16, 42, 51}, {3, 16, 51}, {16, 29, 51}, {16, 39, 41}, {2, 16, 39}, {15, 16, 39}, {16, 28, 39}, {1, 16, 40}, {14, 16, 40}, {16, 27, 40}, {0, 16, 41}, {13, 16, 41}, {16, 26, 41}, {12, 16, 42}, {16, 25, 42}, {16, 38, 42}, {3, 12, 16}, {12, 16, 29}, {0, 2, 16}, {0, 15, 16}, {0, 16, 28}, {1, 14, 16}, {1, 16, 27}, {2, 13, 16}, {2, 16, 26}, {3, 16, 25}, {3, 16, 38}, {16, 25, 29}, {13, 15, 16}, {13, 16, 28}, {14, 16, 27}, {15, 16, 26}, {16, 29, 38}, {16, 26, 28}},
                {{16, 39, 40, 51}, {1, 16, 39, 51}, {14, 16, 39, 51}, {16, 27, 39, 51}, {0, 16, 40, 51}, {13, 16, 40, 51}, {16, 26, 40, 51}, {12, 16, 41, 51}, {16, 25, 41, 51}, {16, 38, 41, 51}, {2, 12, 16, 51}, {12, 15, 16, 51}, {12, 16, 28, 51}, {0, 1, 16, 51}, {0, 14, 16, 51}, {0, 16, 27, 51}, {1, 13, 16, 51}, {1, 16, 26, 51}, {2, 16, 25, 51}, {2, 16, 38, 51}, {15, 16, 25, 51}, {16, 25, 28, 51}, {13, 14, 16, 51}, {13, 16, 27, 51}, {14, 16, 26, 51}, {15, 16, 38, 51}, {16, 28, 38, 51}, {16, 26, 27, 51}, {12, 16, 39, 40}, {16, 25, 39, 40}, {16, 38, 39, 40}, {1, 12, 16, 39}, {12, 14, 16, 39}, {12, 16, 27, 39}, {0, 13, 16, 39}, {0, 16, 26, 39}, {1, 16, 25, 39}, {1, 16, 38, 39}, {14, 16, 25, 39}, {16, 25, 27, 39}, {13, 16, 26, 39}, {14, 16, 38, 39}, {16, 27, 38, 39}, {0, 12, 16, 40}, {12, 13, 16, 40}, {12, 16, 26, 40}, {0, 16, 25, 40}, {0, 16, 38, 40}, {13, 16, 25, 40}, {16, 25, 26, 40}, {13, 16, 38, 40}, {16, 26, 38, 40}, {12, 16, 25, 41}, {12, 16, 38, 41}, {16, 25, 38, 41}, {0, 1, 12, 16}, {0, 12, 14, 16}, {0, 12, 16, 27}, {1, 12, 13, 16}, {1, 12, 16, 26}, {2, 12, 16, 25}, {2, 12, 16, 38}, {12, 15, 16, 25}, {12, 16, 25, 28}, {12, 13, 14, 16}, {12, 13, 16, 27}, {12, 14, 16, 26}, {12, 15, 16, 38}, {12, 16, 28, 38}, {12, 16, 26, 27}, {0, 1, 16, 25}, {0, 1, 16, 38}, {0, 14, 16, 25}, {0, 16, 25, 27}, {0, 13, 16, 26}, {0, 14, 16, 38}, {0, 16, 27, 38}, {1, 13, 16, 25}, {1, 16, 25, 26}, {1, 13, 16, 38}, {1, 16, 26, 38}, {2, 16, 25, 38}, {13, 14, 16, 25}, {13, 16, 25, 27}, {14, 16, 25, 26}, {15, 16, 25, 38}, {16, 25, 28, 38}, {16, 25, 26, 27}, {13, 14, 16, 38}, {13, 16, 27, 38}, {14, 16, 26, 38}, {16, 26, 27, 38}},
                {{0, 12, 16, 39, 51}, {12, 13, 16, 39, 51}, {12, 16, 26, 39, 51}, {0, 16, 25, 39, 51}, {0, 16, 38, 39, 51}, {13, 16, 25, 39, 51}, {16, 25, 26, 39, 51}, {13, 16, 38, 39, 51}, {16, 26, 38, 39, 51}, {12, 16, 25, 40, 51}, {12, 16, 38, 40, 51}, {16, 25, 38, 40, 51}, {0, 12, 13, 16, 51}, {0, 12, 16, 26, 51}, {1, 12, 16, 25, 51}, {1, 12, 16, 38, 51}, {12, 14, 16, 25, 51}, {12, 16, 25, 27, 51}, {12, 13, 16, 26, 51}, {12, 14, 16, 38, 51}, {12, 16, 27, 38, 51}, {0, 13, 16, 25, 51}, {0, 16, 25, 26, 51}, {0, 13, 16, 38, 51}, {0, 16, 26, 38, 51}, {1, 16, 25, 38, 51}, {13, 16, 25, 26, 51}, {14, 16, 25, 38, 51}, {16, 25, 27, 38, 51}, {13, 16, 26, 38, 51}, {0, 12, 16, 25, 39}, {0, 12, 16, 38, 39}, {12, 13, 16, 25, 39}, {12, 16, 25, 26, 39}, {12, 13, 16, 38, 39}, {12, 16, 26, 38, 39}, {0, 16, 25, 38, 39}, {13, 16, 25, 38, 39}, {16, 25, 26, 38, 39}, {12, 16, 25, 38, 40}, {0, 12, 13, 16, 25}, {0, 12, 16, 25, 26}, {0, 12, 13, 16, 38}, {0, 12, 16, 26, 38}, {1, 12, 16, 25, 38}, {12, 13, 16, 25, 26}, {12, 14, 16, 25, 38}, {12, 16, 25, 27, 38}, {12, 13, 16, 26, 38}, {0, 13, 16, 25, 38}, {0, 16, 25, 26, 38}, {13, 16, 25, 26, 38}},
                {{12, 16, 25, 38, 39, 51}, {0, 12, 16, 25, 38, 51}, {12, 13, 16, 25, 38, 51}, {12, 16, 25, 26, 38, 51}}
            },
            {
                {{17, 42}, {3, 17}, {16, 17}, {17, 29}},
                {{17, 41, 51}, {2, 17, 51}, {15, 17, 51}, {17, 28, 51}, {17, 39, 40}, {1, 17, 39}, {14, 17, 39}, {17, 27, 39}, {0, 17, 40}, {13, 17, 40}, {17, 26, 40}, {12, 17, 41}, {17, 25, 41}, {17, 38, 41}, {2, 12, 17}, {12, 15, 17}, {12, 17, 28}, {0, 1, 17}, {0, 14, 17}, {0, 17, 27}, {1, 13, 17}, {1, 17, 26}, {2, 17, 25}, {2, 17, 38}, {15, 17, 25}, {17, 25, 28}, {13, 14, 17}, {13, 17, 27}, {14, 17, 26}, {15, 17, 38}, {17, 28, 38}, {17, 26, 27}},
                {{0, 17, 39, 51}, {13, 17, 39, 51}, {17, 26, 39, 51}, {12, 17, 40, 51}, {17, 25, 40, 51}, {17, 38, 40, 51}, {1, 12, 17, 51}, {12, 14, 17, 51}, {12, 17, 27, 51}, {0, 13, 17, 51}, {0, 17, 26, 51}, {1, 17, 25, 51}, {1, 17, 38, 51}, {14, 17, 25, 51}, {17, 25, 27, 51}, {13, 17, 26, 51}, {14, 17, 38, 51}, {17, 27, 38, 51}, {0, 12, 17, 39}, {12, 13, 17, 39}, {12, 17, 26, 39}, {0, 17, 25, 39}, {0, 17, 38, 39}, {13, 17, 25, 39}, {17, 25, 26, 39}, {13, 17, 38, 39}, {17, 26, 38, 39}, {12, 17, 25, 40}, {12, 17, 38, 40}, {17, 25, 38, 40}, {0, 12, 13, 17}, {0, 12, 17, 26}, {1, 12, 17, 25}, {1, 12, 17, 38}, {12, 14, 17, 25}, {12, 17, 25, 27}, {12, 13, 17, 26}, {12, 14, 17, 38}, {12, 17, 27, 38}, {0, 13, 17, 25}, {0, 17, 25, 26}, {0, 13, 17, 38}, {0, 17, 26, 38}, {1, 17, 25, 38}, {13, 17, 25, 26}, {14, 17, 25, 38}, {17, 25, 27, 38}, {13, 17, 26, 38}},
                {{12, 17, 25, 39, 51}, {12, 17, 38, 39, 51}, {17, 25, 38, 39, 51}, {0, 12, 17, 25, 51}, {0, 12, 17, 38, 51}, {12, 13, 17, 25, 51}, {12, 17, 25, 26, 51}, {12, 13, 17, 38, 51}, {12, 17, 26, 38, 51}, {0, 17, 25, 38, 51}, {13, 17, 25, 38, 51}, {17, 25, 26, 38, 51}, {12, 17, 25, 38, 39}, {0, 12, 17, 25, 38}, {12, 13, 17, 25, 38}, {12, 17, 25, 26, 38}},
                {}
            },
            {
                {{18, 41}, {2, 18}, {15, 18}, {18, 28}},
                {{18, 40, 51}, {1, 18, 51}, {14, 18, 51}, {18, 27, 51}, {0, 18, 39}, {13, 18, 39}, {18, 26, 39}, {12, 18, 40}, {18, 25, 40}, {18, 38, 40}, {1, 12, 18}, {12, 14, 18}, {12, 18, 27}, {0, 13, 18}, {0, 18, 26}, {1, 18, 25}, {1, 18, 38}, {14, 18, 25}, {18, 25, 27}, {13, 18, 26}, {14, 18, 38}, {18, 27, 38}},
                {{12, 18, 39, 51}, {18, 25, 39, 51}, {18, 38, 39, 51}, {0, 12, 18, 51}, {12, 13, 18, 51}, {12, 18, 26, 51}, {0, 18, 25, 51}, {0, 18, 38, 51}, {13, 18, 25, 51}, {18, 25, 26, 51}, {13, 18, 38, 51}, {18, 26, 38, 51}, {12, 18, 25, 39}, {12, 18, 38, 39}, {18, 25, 38, 39}, {0, 12, 18, 25}, {0, 12, 18, 38}, {12, 13, 18, 25}, {12, 18, 25, 26}, {12, 13, 18, 38}, {12, 18, 26, 38}, {0, 18, 25, 38}, {13, 18, 25, 38}, {18, 25, 26, 38}},
                {{12, 18, 25, 38, 51}},
                {}
            },
            {
                {{19, 40}, {1, 19}, {14, 19}, {19, 27}},
                {{19, 39, 51}, {0, 19, 51}, {13, 19, 51}, {19, 26, 51}, {12, 19, 39}, {19, 25, 39}, {19, 38, 39}, {0, 12, 19}, {12, 13, 19}, {12, 19, 26}, {0, 19, 25}, {0, 19, 38}, {13, 19, 25}, {19, 25, 26}, {13, 19, 38}, {19, 26, 38}},
                {{12, 19, 25, 51}, {12, 19, 38, 51}, {19, 25, 38, 51}, {12, 19, 25, 38}},
                {},
                {}
            },
            {
                {{20, 39}, {0, 20}, {13, 20}, {20, 26}},
                {{12, 20, 51}, {20, 25, 51}, {20, 38, 51}, {12, 20, 25}, {12, 20, 38}, {20, 25, 38}},
                {},
                {},
                {}
            },
            {
                {{21, 51}, {12, 21}, {21, 25}, {21, 38}},
                {},
                {},
                {},
                {}
            },
            {
                // Js
            },
            {
                {{10, 23},{23, 36},{23, 49}},
                {},
                {},
                {},
                {}
            },
            {
                {{11, 24},{24, 37},{24, 50}},
                {},
                {},
                {},
                {}
            },
            {
                {{25, 47}, {8, 25}, {21, 25}, {25, 34}},
                {{25, 46, 51}, {7, 25, 51}, {20, 25, 51}, {25, 33, 51}, {25, 39, 45}, {6, 25, 39}, {19, 25, 39}, {25, 32, 39}, {25, 40, 44}, {5, 25, 40}, {18, 25, 40}, {25, 31, 40}, {25, 41, 43}, {4, 25, 41}, {17, 25, 41}, {25, 30, 41}, {3, 25, 42}, {16, 25, 42}, {25, 29, 42}, {2, 25, 43}, {15, 25, 43}, {25, 28, 43}, {1, 25, 44}, {14, 25, 44}, {25, 27, 44}, {0, 25, 45}, {13, 25, 45}, {25, 26, 45}, {12, 25, 46}, {25, 38, 46}, {7, 12, 25}, {12, 20, 25}, {12, 25, 33}, {0, 6, 25}, {0, 19, 25}, {0, 25, 32}, {1, 5, 25}, {1, 18, 25}, {1, 25, 31}, {2, 4, 25}, {2, 17, 25}, {2, 25, 30}, {3, 16, 25}, {3, 25, 29}, {4, 15, 25}, {4, 25, 28}, {5, 14, 25}, {5, 25, 27}, {6, 13, 25}, {6, 25, 26}, {7, 25, 38}, {13, 19, 25}, {13, 25, 32}, {14, 18, 25}, {14, 25, 31}, {15, 17, 25}, {15, 25, 30}, {16, 25, 29}, {17, 25, 28}, {18, 25, 27}, {19, 25, 26}, {20, 25, 38}, {25, 33, 38}, {25, 26, 32}, {25, 27, 31}, {25, 28, 30}},
                {{25, 39, 44, 51}, {5, 25, 39, 51}, {18, 25, 39, 51}, {25, 31, 39, 51}, {25, 40, 43, 51}, {4, 25, 40, 51}, {17, 25, 40, 51}, {25, 30, 40, 51}, {25, 41, 42, 51}, {3, 25, 41, 51}, {16, 25, 41, 51}, {25, 29, 41, 51}, {2, 25, 42, 51}, {15, 25, 42, 51}, {25, 28, 42, 51}, {1, 25, 43, 51}, {14, 25, 43, 51}, {25, 27, 43, 51}, {0, 25, 44, 51}, {13, 25, 44, 51}, {25, 26, 44, 51}, {12, 25, 45, 51}, {25, 38, 45, 51}, {6, 12, 25, 51}, {12, 19, 25, 51}, {12, 25, 32, 51}, {0, 5, 25, 51}, {0, 18, 25, 51}, {0, 25, 31, 51}, {1, 4, 25, 51}, {1, 17, 25, 51}, {1, 25, 30, 51}, {2, 3, 25, 51}, {2, 16, 25, 51}, {2, 25, 29, 51}, {3, 15, 25, 51}, {3, 25, 28, 51}, {4, 14, 25, 51}, {4, 25, 27, 51}, {5, 13, 25, 51}, {5, 25, 26, 51}, {6, 25, 38, 51}, {13, 18, 25, 51}, {13, 25, 31, 51}, {14, 17, 25, 51}, {14, 25, 30, 51}, {15, 16, 25, 51}, {15, 25, 29, 51}, {16, 25, 28, 51}, {17, 25, 27, 51}, {18, 25, 26, 51}, {19, 25, 38, 51}, {25, 32, 38, 51}, {25, 26, 31, 51}, {25, 27, 30, 51}, {25, 28, 29, 51}, {25, 39, 40, 42}, {3, 25, 39, 40}, {16, 25, 39, 40}, {25, 29, 39, 40}, {2, 25, 39, 41}, {15, 25, 39, 41}, {25, 28, 39, 41}, {1, 25, 39, 42}, {14, 25, 39, 42}, {25, 27, 39, 42}, {0, 25, 39, 43}, {13, 25, 39, 43}, {25, 26, 39, 43}, {12, 25, 39, 44}, {25, 38, 39, 44}, {5, 12, 25, 39}, {12, 18, 25, 39}, {12, 25, 31, 39}, {0, 4, 25, 39}, {0, 17, 25, 39}, {0, 25, 30, 39}, {1, 3, 25, 39}, {1, 16, 25, 39}, {1, 25, 29, 39}, {2, 15, 25, 39}, {2, 25, 28, 39}, {3, 14, 25, 39}, {3, 25, 27, 39}, {4, 13, 25, 39}, {4, 25, 26, 39}, {5, 25, 38, 39}, {13, 17, 25, 39}, {13, 25, 30, 39}, {14, 16, 25, 39}, {14, 25, 29, 39}, {15, 25, 28, 39}, {16, 25, 27, 39}, {17, 25, 26, 39}, {18, 25, 38, 39}, {25, 31, 38, 39}, {25, 26, 30, 39}, {25, 27, 29, 39}, {1, 25, 40, 41}, {14, 25, 40, 41}, {25, 27, 40, 41}, {0, 25, 40, 42}, {13, 25, 40, 42}, {25, 26, 40, 42}, {12, 25, 40, 43}, {25, 38, 40, 43}, {4, 12, 25, 40}, {12, 17, 25, 40}, {12, 25, 30, 40}, {0, 3, 25, 40}, {0, 16, 25, 40}, {0, 25, 29, 40}, {1, 2, 25, 40}, {1, 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            {
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                {{28, 39, 41, 51}, {2, 28, 39, 51}, {15, 28, 39, 51}, {1, 28, 40, 51}, {14, 28, 40, 51}, {27, 28, 40, 51}, {0, 28, 41, 51}, {13, 28, 41, 51}, {26, 28, 41, 51}, {12, 28, 42, 51}, {25, 28, 42, 51}, {28, 38, 42, 51}, {3, 12, 28, 51}, {12, 16, 28, 51}, {12, 28, 29, 51}, {0, 2, 28, 51}, {0, 15, 28, 51}, {1, 14, 28, 51}, {1, 27, 28, 51}, {2, 13, 28, 51}, {2, 26, 28, 51}, {3, 25, 28, 51}, {3, 28, 38, 51}, {16, 25, 28, 51}, {25, 28, 29, 51}, {13, 15, 28, 51}, {14, 27, 28, 51}, {15, 26, 28, 51}, {16, 28, 38, 51}, {28, 29, 38, 51}, {0, 28, 39, 40}, {13, 28, 39, 40}, {26, 28, 39, 40}, {12, 28, 39, 41}, {25, 28, 39, 41}, {28, 38, 39, 41}, {2, 12, 28, 39}, {12, 15, 28, 39}, {0, 1, 28, 39}, {0, 14, 28, 39}, {0, 27, 28, 39}, {1, 13, 28, 39}, {1, 26, 28, 39}, {2, 25, 28, 39}, {2, 28, 38, 39}, {15, 25, 28, 39}, {13, 14, 28, 39}, {13, 27, 28, 39}, {14, 26, 28, 39}, {15, 28, 38, 39}, {26, 27, 28, 39}, {1, 12, 28, 40}, {12, 14, 28, 40}, {12, 27, 28, 40}, {0, 13, 28, 40}, {0, 26, 28, 40}, {1, 25, 28, 40}, {1, 28, 38, 40}, {14, 25, 28, 40}, {25, 27, 28, 40}, {13, 26, 28, 40}, {14, 28, 38, 40}, {27, 28, 38, 40}, {0, 12, 28, 41}, {12, 13, 28, 41}, {12, 26, 28, 41}, {0, 25, 28, 41}, {0, 28, 38, 41}, {13, 25, 28, 41}, {25, 26, 28, 41}, {13, 28, 38, 41}, {26, 28, 38, 41}, {12, 25, 28, 42}, {12, 28, 38, 42}, {25, 28, 38, 42}, {0, 2, 12, 28}, {0, 12, 15, 28}, {1, 12, 14, 28}, {1, 12, 27, 28}, {2, 12, 13, 28}, {2, 12, 26, 28}, {3, 12, 25, 28}, {3, 12, 28, 38}, {12, 16, 25, 28}, {12, 25, 28, 29}, {12, 13, 15, 28}, {12, 14, 27, 28}, {12, 15, 26, 28}, {12, 16, 28, 38}, {12, 28, 29, 38}, {0, 1, 13, 28}, {0, 1, 26, 28}, {0, 2, 25, 28}, {0, 2, 28, 38}, {0, 15, 25, 28}, {0, 13, 14, 28}, {0, 13, 27, 28}, {0, 14, 26, 28}, {0, 15, 28, 38}, {0, 26, 27, 28}, {1, 14, 25, 28}, {1, 25, 27, 28}, {1, 13, 26, 28}, {1, 14, 28, 38}, {1, 27, 28, 38}, {2, 13, 25, 28}, {2, 25, 26, 28}, {2, 13, 28, 38}, {2, 26, 28, 38}, {3, 25, 28, 38}, {13, 15, 25, 28}, {14, 25, 27, 28}, {15, 25, 26, 28}, {16, 25, 28, 38}, {25, 28, 29, 38}, {13, 14, 26, 28}, {13, 15, 28, 38}, {13, 26, 27, 28}, {14, 27, 28, 38}, {15, 26, 28, 38}},
                {{12, 28, 39, 40, 51}, {25, 28, 39, 40, 51}, {28, 38, 39, 40, 51}, {1, 12, 28, 39, 51}, {12, 14, 28, 39, 51}, {12, 27, 28, 39, 51}, {0, 13, 28, 39, 51}, {0, 26, 28, 39, 51}, {1, 25, 28, 39, 51}, {1, 28, 38, 39, 51}, {14, 25, 28, 39, 51}, {25, 27, 28, 39, 51}, {13, 26, 28, 39, 51}, {14, 28, 38, 39, 51}, {27, 28, 38, 39, 51}, {0, 12, 28, 40, 51}, {12, 13, 28, 40, 51}, {12, 26, 28, 40, 51}, {0, 25, 28, 40, 51}, {0, 28, 38, 40, 51}, {13, 25, 28, 40, 51}, {25, 26, 28, 40, 51}, {13, 28, 38, 40, 51}, {26, 28, 38, 40, 51}, {12, 25, 28, 41, 51}, {12, 28, 38, 41, 51}, {25, 28, 38, 41, 51}, {0, 1, 12, 28, 51}, {0, 12, 14, 28, 51}, {0, 12, 27, 28, 51}, {1, 12, 13, 28, 51}, {1, 12, 26, 28, 51}, {2, 12, 25, 28, 51}, {2, 12, 28, 38, 51}, {12, 15, 25, 28, 51}, {12, 13, 14, 28, 51}, {12, 13, 27, 28, 51}, {12, 14, 26, 28, 51}, {12, 15, 28, 38, 51}, {12, 26, 27, 28, 51}, {0, 1, 25, 28, 51}, {0, 1, 28, 38, 51}, {0, 14, 25, 28, 51}, {0, 25, 27, 28, 51}, {0, 13, 26, 28, 51}, {0, 14, 28, 38, 51}, {0, 27, 28, 38, 51}, {1, 13, 25, 28, 51}, {1, 25, 26, 28, 51}, {1, 13, 28, 38, 51}, {1, 26, 28, 38, 51}, {2, 25, 28, 38, 51}, {13, 14, 25, 28, 51}, {13, 25, 27, 28, 51}, {14, 25, 26, 28, 51}, {15, 25, 28, 38, 51}, {25, 26, 27, 28, 51}, {13, 14, 28, 38, 51}, {13, 27, 28, 38, 51}, {14, 26, 28, 38, 51}, {26, 27, 28, 38, 51}, {12, 25, 28, 39, 40}, {12, 28, 38, 39, 40}, {25, 28, 38, 39, 40}, {0, 12, 13, 28, 39}, {0, 12, 26, 28, 39}, {1, 12, 25, 28, 39}, {1, 12, 28, 38, 39}, {12, 14, 25, 28, 39}, {12, 25, 27, 28, 39}, {12, 13, 26, 28, 39}, {12, 14, 28, 38, 39}, {12, 27, 28, 38, 39}, {0, 13, 25, 28, 39}, {0, 25, 26, 28, 39}, {0, 13, 28, 38, 39}, {0, 26, 28, 38, 39}, {1, 25, 28, 38, 39}, {13, 25, 26, 28, 39}, {14, 25, 28, 38, 39}, {25, 27, 28, 38, 39}, {13, 26, 28, 38, 39}, {0, 12, 25, 28, 40}, {0, 12, 28, 38, 40}, {12, 13, 25, 28, 40}, {12, 25, 26, 28, 40}, {12, 13, 28, 38, 40}, {12, 26, 28, 38, 40}, {0, 25, 28, 38, 40}, {13, 25, 28, 38, 40}, {25, 26, 28, 38, 40}, {12, 25, 28, 38, 41}, {0, 1, 12, 25, 28}, {0, 1, 12, 28, 38}, {0, 12, 14, 25, 28}, {0, 12, 25, 27, 28}, {0, 12, 13, 26, 28}, {0, 12, 14, 28, 38}, {0, 12, 27, 28, 38}, {1, 12, 13, 25, 28}, {1, 12, 25, 26, 28}, {1, 12, 13, 28, 38}, {1, 12, 26, 28, 38}, {2, 12, 25, 28, 38}, {12, 13, 14, 25, 28}, {12, 13, 25, 27, 28}, {12, 14, 25, 26, 28}, {12, 15, 25, 28, 38}, {12, 25, 26, 27, 28}, {12, 13, 14, 28, 38}, {12, 13, 27, 28, 38}, {12, 14, 26, 28, 38}, {12, 26, 27, 28, 38}, {0, 1, 25, 28, 38}, {0, 13, 25, 26, 28}, {0, 14, 25, 28, 38}, {0, 25, 27, 28, 38}, {0, 13, 26, 28, 38}, {1, 13, 25, 28, 38}, {1, 25, 26, 28, 38}, {13, 14, 25, 28, 38}, {13, 25, 27, 28, 38}, {14, 25, 26, 28, 38}, {25, 26, 27, 28, 38}},
                {{0, 12, 25, 28, 39, 51}, {0, 12, 28, 38, 39, 51}, {12, 13, 25, 28, 39, 51}, {12, 25, 26, 28, 39, 51}, {12, 13, 28, 38, 39, 51}, {12, 26, 28, 38, 39, 51}, {0, 25, 28, 38, 39, 51}, {13, 25, 28, 38, 39, 51}, {25, 26, 28, 38, 39, 51}, {12, 25, 28, 38, 40, 51}, {0, 12, 13, 25, 28, 51}, {0, 12, 25, 26, 28, 51}, {0, 12, 13, 28, 38, 51}, {0, 12, 26, 28, 38, 51}, {1, 12, 25, 28, 38, 51}, {12, 13, 25, 26, 28, 51}, {12, 14, 25, 28, 38, 51}, {12, 25, 27, 28, 38, 51}, {12, 13, 26, 28, 38, 51}, {0, 13, 25, 28, 38, 51}, {0, 25, 26, 28, 38, 51}, {13, 25, 26, 28, 38, 51}, {0, 12, 25, 28, 38, 39}, {12, 13, 25, 28, 38, 39}, {12, 25, 26, 28, 38, 39}, {0, 12, 13, 25, 28, 38}, {0, 12, 25, 26, 28, 38}, {12, 13, 25, 26, 28, 38}}
            },
            {
                {{29, 43}, {4, 29}, {17, 29}, {29, 30}},
                {{29, 42, 51}, {3, 29, 51}, {16, 29, 51}, {29, 39, 41}, {2, 29, 39}, {15, 29, 39}, {28, 29, 39}, {1, 29, 40}, {14, 29, 40}, {27, 29, 40}, {0, 29, 41}, {13, 29, 41}, {26, 29, 41}, {12, 29, 42}, {25, 29, 42}, {29, 38, 42}, {3, 12, 29}, {12, 16, 29}, {0, 2, 29}, {0, 15, 29}, {0, 28, 29}, {1, 14, 29}, {1, 27, 29}, {2, 13, 29}, {2, 26, 29}, {3, 25, 29}, {3, 29, 38}, {16, 25, 29}, {13, 15, 29}, {13, 28, 29}, {14, 27, 29}, {15, 26, 29}, {16, 29, 38}, {26, 28, 29}},
                {{29, 39, 40, 51}, {1, 29, 39, 51}, {14, 29, 39, 51}, {27, 29, 39, 51}, {0, 29, 40, 51}, {13, 29, 40, 51}, {26, 29, 40, 51}, {12, 29, 41, 51}, {25, 29, 41, 51}, {29, 38, 41, 51}, {2, 12, 29, 51}, {12, 15, 29, 51}, {12, 28, 29, 51}, {0, 1, 29, 51}, {0, 14, 29, 51}, {0, 27, 29, 51}, {1, 13, 29, 51}, {1, 26, 29, 51}, {2, 25, 29, 51}, {2, 29, 38, 51}, {15, 25, 29, 51}, {25, 28, 29, 51}, {13, 14, 29, 51}, {13, 27, 29, 51}, {14, 26, 29, 51}, {15, 29, 38, 51}, {28, 29, 38, 51}, {26, 27, 29, 51}, {12, 29, 39, 40}, {25, 29, 39, 40}, {29, 38, 39, 40}, {1, 12, 29, 39}, {12, 14, 29, 39}, {12, 27, 29, 39}, {0, 13, 29, 39}, {0, 26, 29, 39}, {1, 25, 29, 39}, {1, 29, 38, 39}, {14, 25, 29, 39}, {25, 27, 29, 39}, {13, 26, 29, 39}, {14, 29, 38, 39}, {27, 29, 38, 39}, {0, 12, 29, 40}, {12, 13, 29, 40}, {12, 26, 29, 40}, {0, 25, 29, 40}, {0, 29, 38, 40}, {13, 25, 29, 40}, {25, 26, 29, 40}, {13, 29, 38, 40}, {26, 29, 38, 40}, {12, 25, 29, 41}, {12, 29, 38, 41}, {25, 29, 38, 41}, {0, 1, 12, 29}, {0, 12, 14, 29}, {0, 12, 27, 29}, {1, 12, 13, 29}, {1, 12, 26, 29}, {2, 12, 25, 29}, {2, 12, 29, 38}, {12, 15, 25, 29}, {12, 25, 28, 29}, {12, 13, 14, 29}, {12, 13, 27, 29}, {12, 14, 26, 29}, {12, 15, 29, 38}, {12, 28, 29, 38}, {12, 26, 27, 29}, {0, 1, 25, 29}, {0, 1, 29, 38}, {0, 14, 25, 29}, {0, 25, 27, 29}, {0, 13, 26, 29}, {0, 14, 29, 38}, {0, 27, 29, 38}, {1, 13, 25, 29}, {1, 25, 26, 29}, {1, 13, 29, 38}, {1, 26, 29, 38}, {2, 25, 29, 38}, {13, 14, 25, 29}, {13, 25, 27, 29}, {14, 25, 26, 29}, {15, 25, 29, 38}, {25, 28, 29, 38}, {25, 26, 27, 29}, {13, 14, 29, 38}, {13, 27, 29, 38}, {14, 26, 29, 38}, {26, 27, 29, 38}},
                {{0, 12, 29, 39, 51}, {12, 13, 29, 39, 51}, {12, 26, 29, 39, 51}, {0, 25, 29, 39, 51}, {0, 29, 38, 39, 51}, {13, 25, 29, 39, 51}, {25, 26, 29, 39, 51}, {13, 29, 38, 39, 51}, {26, 29, 38, 39, 51}, {12, 25, 29, 40, 51}, {12, 29, 38, 40, 51}, {25, 29, 38, 40, 51}, {0, 12, 13, 29, 51}, {0, 12, 26, 29, 51}, {1, 12, 25, 29, 51}, {1, 12, 29, 38, 51}, {12, 14, 25, 29, 51}, {12, 25, 27, 29, 51}, {12, 13, 26, 29, 51}, {12, 14, 29, 38, 51}, {12, 27, 29, 38, 51}, {0, 13, 25, 29, 51}, {0, 25, 26, 29, 51}, {0, 13, 29, 38, 51}, {0, 26, 29, 38, 51}, {1, 25, 29, 38, 51}, {13, 25, 26, 29, 51}, {14, 25, 29, 38, 51}, {25, 27, 29, 38, 51}, {13, 26, 29, 38, 51}, {0, 12, 25, 29, 39}, {0, 12, 29, 38, 39}, {12, 13, 25, 29, 39}, {12, 25, 26, 29, 39}, {12, 13, 29, 38, 39}, {12, 26, 29, 38, 39}, {0, 25, 29, 38, 39}, {13, 25, 29, 38, 39}, {25, 26, 29, 38, 39}, {12, 25, 29, 38, 40}, {0, 12, 13, 25, 29}, {0, 12, 25, 26, 29}, {0, 12, 13, 29, 38}, {0, 12, 26, 29, 38}, {1, 12, 25, 29, 38}, {12, 13, 25, 26, 29}, {12, 14, 25, 29, 38}, {12, 25, 27, 29, 38}, {12, 13, 26, 29, 38}, {0, 13, 25, 29, 38}, {0, 25, 26, 29, 38}, {13, 25, 26, 29, 38}},
                {{12, 25, 29, 38, 39, 51}, {0, 12, 25, 29, 38, 51}, {12, 13, 25, 29, 38, 51}, {12, 25, 26, 29, 38, 51}}
            },
            {
                {{30, 42}, {3, 30}, {16, 30}, {29, 30}},
                {{30, 41, 51}, {2, 30, 51}, {15, 30, 51}, {28, 30, 51}, {30, 39, 40}, {1, 30, 39}, {14, 30, 39}, {27, 30, 39}, {0, 30, 40}, {13, 30, 40}, {26, 30, 40}, {12, 30, 41}, {25, 30, 41}, {30, 38, 41}, {2, 12, 30}, {12, 15, 30}, {12, 28, 30}, {0, 1, 30}, {0, 14, 30}, {0, 27, 30}, {1, 13, 30}, {1, 26, 30}, {2, 25, 30}, {2, 30, 38}, {15, 25, 30}, {25, 28, 30}, {13, 14, 30}, {13, 27, 30}, {14, 26, 30}, {15, 30, 38}, {28, 30, 38}, {26, 27, 30}},
                {{0, 30, 39, 51}, {13, 30, 39, 51}, {26, 30, 39, 51}, {12, 30, 40, 51}, {25, 30, 40, 51}, {30, 38, 40, 51}, {1, 12, 30, 51}, {12, 14, 30, 51}, {12, 27, 30, 51}, {0, 13, 30, 51}, {0, 26, 30, 51}, {1, 25, 30, 51}, {1, 30, 38, 51}, {14, 25, 30, 51}, {25, 27, 30, 51}, {13, 26, 30, 51}, {14, 30, 38, 51}, {27, 30, 38, 51}, {0, 12, 30, 39}, {12, 13, 30, 39}, {12, 26, 30, 39}, {0, 25, 30, 39}, {0, 30, 38, 39}, {13, 25, 30, 39}, {25, 26, 30, 39}, {13, 30, 38, 39}, {26, 30, 38, 39}, {12, 25, 30, 40}, {12, 30, 38, 40}, {25, 30, 38, 40}, {0, 12, 13, 30}, {0, 12, 26, 30}, {1, 12, 25, 30}, {1, 12, 30, 38}, {12, 14, 25, 30}, {12, 25, 27, 30}, {12, 13, 26, 30}, {12, 14, 30, 38}, {12, 27, 30, 38}, {0, 13, 25, 30}, {0, 25, 26, 30}, {0, 13, 30, 38}, {0, 26, 30, 38}, {1, 25, 30, 38}, {13, 25, 26, 30}, {14, 25, 30, 38}, {25, 27, 30, 38}, {13, 26, 30, 38}},
                {{12, 25, 30, 39, 51}, {12, 30, 38, 39, 51}, {25, 30, 38, 39, 51}, {0, 12, 25, 30, 51}, {0, 12, 30, 38, 51}, {12, 13, 25, 30, 51}, {12, 25, 26, 30, 51}, {12, 13, 30, 38, 51}, {12, 26, 30, 38, 51}, {0, 25, 30, 38, 51}, {13, 25, 30, 38, 51}, {25, 26, 30, 38, 51}, {12, 25, 30, 38, 39}, {0, 12, 25, 30, 38}, {12, 13, 25, 30, 38}, {12, 25, 26, 30, 38}},
                {}
            },
            {
                {{31, 41}, {2, 31}, {15, 31}, {28, 31}},
                {{31, 40, 51}, {1, 31, 51}, {14, 31, 51}, {27, 31, 51}, {0, 31, 39}, {13, 31, 39}, {26, 31, 39}, {12, 31, 40}, {25, 31, 40}, {31, 38, 40}, {1, 12, 31}, {12, 14, 31}, {12, 27, 31}, {0, 13, 31}, {0, 26, 31}, {1, 25, 31}, {1, 31, 38}, {14, 25, 31}, {25, 27, 31}, {13, 26, 31}, {14, 31, 38}, {27, 31, 38}},
                {{12, 31, 39, 51}, {25, 31, 39, 51}, {31, 38, 39, 51}, {0, 12, 31, 51}, {12, 13, 31, 51}, {12, 26, 31, 51}, {0, 25, 31, 51}, {0, 31, 38, 51}, {13, 25, 31, 51}, {25, 26, 31, 51}, {13, 31, 38, 51}, {26, 31, 38, 51}, {12, 25, 31, 39}, {12, 31, 38, 39}, {25, 31, 38, 39}, {0, 12, 25, 31}, {0, 12, 31, 38}, {12, 13, 25, 31}, {12, 25, 26, 31}, {12, 13, 31, 38}, {12, 26, 31, 38}, {0, 25, 31, 38}, {13, 25, 31, 38}, {25, 26, 31, 38}},
                {{12, 25, 31, 38, 51}},
                {}
            },
            {
                {{32, 40}, {1, 32}, {14, 32}, {27, 32}},
                {{32, 39, 51}, {0, 32, 51}, {13, 32, 51}, {26, 32, 51}, {12, 32, 39}, {25, 32, 39}, {32, 38, 39}, {0, 12, 32}, {12, 13, 32}, {12, 26, 32}, {0, 25, 32}, {0, 32, 38}, {13, 25, 32}, {25, 26, 32}, {13, 32, 38}, {26, 32, 38}},
                {{12, 25, 32, 51}, {12, 32, 38, 51}, {25, 32, 38, 51}, {12, 25, 32, 38}},
                {},
                {}
            },
            {
                {{33, 39}, {0, 33}, {13, 33}, {26, 33}},
                {{12, 33, 51}, {25, 33, 51}, {33, 38, 51}, {12, 25, 33}, {12, 33, 38}, {25, 33, 38}},
                {},
                {},
                {}
            },
            {
                {{34, 51}, {12, 34}, {25, 34}, {34, 38}},
                {},
                {},
                {},
                {}
            },
            {
                // Js
            },
            {
                {{10, 36},{23, 36},{36, 49}},
                {},
                {},
                {},
                {}
            }
            ,
            {
                {{11, 37},{24, 37},{37, 50}},
                {},
                {},
                {},
                {}
            },
            {
                {{38, 47}, {8, 38}, {21, 38}, {34, 38}},
                {{38, 46, 51}, {7, 38, 51}, {20, 38, 51}, {33, 38, 51}, {38, 39, 45}, {6, 38, 39}, {19, 38, 39}, {32, 38, 39}, {38, 40, 44}, {5, 38, 40}, {18, 38, 40}, {31, 38, 40}, {38, 41, 43}, {4, 38, 41}, {17, 38, 41}, {30, 38, 41}, {3, 38, 42}, {16, 38, 42}, {29, 38, 42}, {2, 38, 43}, {15, 38, 43}, {28, 38, 43}, {1, 38, 44}, {14, 38, 44}, {27, 38, 44}, {0, 38, 45}, {13, 38, 45}, {26, 38, 45}, {12, 38, 46}, {25, 38, 46}, {7, 12, 38}, {12, 20, 38}, {12, 33, 38}, {0, 6, 38}, {0, 19, 38}, {0, 32, 38}, {1, 5, 38}, {1, 18, 38}, {1, 31, 38}, {2, 4, 38}, {2, 17, 38}, {2, 30, 38}, {3, 16, 38}, {3, 29, 38}, {4, 15, 38}, {4, 28, 38}, {5, 14, 38}, {5, 27, 38}, {6, 13, 38}, {6, 26, 38}, {7, 25, 38}, {20, 25, 38}, {25, 33, 38}, {13, 19, 38}, {13, 32, 38}, {14, 18, 38}, {14, 31, 38}, {15, 17, 38}, {15, 30, 38}, {16, 29, 38}, {17, 28, 38}, {18, 27, 38}, {19, 26, 38}, {26, 32, 38}, {27, 31, 38}, {28, 30, 38}},
                {{38, 39, 44, 51}, {5, 38, 39, 51}, {18, 38, 39, 51}, {31, 38, 39, 51}, {38, 40, 43, 51}, {4, 38, 40, 51}, {17, 38, 40, 51}, {30, 38, 40, 51}, {38, 41, 42, 51}, {3, 38, 41, 51}, {16, 38, 41, 51}, {29, 38, 41, 51}, {2, 38, 42, 51}, {15, 38, 42, 51}, {28, 38, 42, 51}, {1, 38, 43, 51}, {14, 38, 43, 51}, {27, 38, 43, 51}, {0, 38, 44, 51}, {13, 38, 44, 51}, {26, 38, 44, 51}, {12, 38, 45, 51}, {25, 38, 45, 51}, {6, 12, 38, 51}, {12, 19, 38, 51}, {12, 32, 38, 51}, {0, 5, 38, 51}, {0, 18, 38, 51}, {0, 31, 38, 51}, {1, 4, 38, 51}, {1, 17, 38, 51}, {1, 30, 38, 51}, {2, 3, 38, 51}, {2, 16, 38, 51}, {2, 29, 38, 51}, {3, 15, 38, 51}, {3, 28, 38, 51}, {4, 14, 38, 51}, {4, 27, 38, 51}, {5, 13, 38, 51}, {5, 26, 38, 51}, {6, 25, 38, 51}, {19, 25, 38, 51}, {25, 32, 38, 51}, {13, 18, 38, 51}, {13, 31, 38, 51}, {14, 17, 38, 51}, {14, 30, 38, 51}, {15, 16, 38, 51}, {15, 29, 38, 51}, {16, 28, 38, 51}, {17, 27, 38, 51}, {18, 26, 38, 51}, {26, 31, 38, 51}, {27, 30, 38, 51}, {28, 29, 38, 51}, {38, 39, 40, 42}, {3, 38, 39, 40}, {16, 38, 39, 40}, {29, 38, 39, 40}, {2, 38, 39, 41}, {15, 38, 39, 41}, {28, 38, 39, 41}, {1, 38, 39, 42}, {14, 38, 39, 42}, {27, 38, 39, 42}, {0, 38, 39, 43}, {13, 38, 39, 43}, {26, 38, 39, 43}, {12, 38, 39, 44}, {25, 38, 39, 44}, {5, 12, 38, 39}, {12, 18, 38, 39}, {12, 31, 38, 39}, {0, 4, 38, 39}, {0, 17, 38, 39}, {0, 30, 38, 39}, {1, 3, 38, 39}, {1, 16, 38, 39}, {1, 29, 38, 39}, {2, 15, 38, 39}, {2, 28, 38, 39}, {3, 14, 38, 39}, {3, 27, 38, 39}, {4, 13, 38, 39}, {4, 26, 38, 39}, {5, 25, 38, 39}, {18, 25, 38, 39}, {25, 31, 38, 39}, {13, 17, 38, 39}, {13, 30, 38, 39}, {14, 16, 38, 39}, {14, 29, 38, 39}, {15, 28, 38, 39}, {16, 27, 38, 39}, {17, 26, 38, 39}, {26, 30, 38, 39}, {27, 29, 38, 39}, {1, 38, 40, 41}, {14, 38, 40, 41}, {27, 38, 40, 41}, {0, 38, 40, 42}, {13, 38, 40, 42}, {26, 38, 40, 42}, {12, 38, 40, 43}, {25, 38, 40, 43}, {4, 12, 38, 40}, {12, 17, 38, 40}, {12, 30, 38, 40}, {0, 3, 38, 40}, {0, 16, 38, 40}, {0, 29, 38, 40}, {1, 2, 38, 40}, {1, 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                {{2, 39, 41, 51}, {15, 39, 41, 51}, {28, 39, 41, 51}, {1, 40, 41, 51}, {14, 40, 41, 51}, {27, 40, 41, 51}, {12, 41, 42, 51}, {25, 41, 42, 51}, {38, 41, 42, 51}, {3, 12, 41, 51}, {12, 16, 41, 51}, {12, 29, 41, 51}, {0, 2, 41, 51}, {0, 15, 41, 51}, {0, 28, 41, 51}, {1, 14, 41, 51}, {1, 27, 41, 51}, {2, 13, 41, 51}, {2, 26, 41, 51}, {3, 25, 41, 51}, {3, 38, 41, 51}, {16, 25, 41, 51}, {25, 29, 41, 51}, {13, 15, 41, 51}, {13, 28, 41, 51}, {14, 27, 41, 51}, {15, 26, 41, 51}, {16, 38, 41, 51}, {29, 38, 41, 51}, {26, 28, 41, 51}, {0, 39, 40, 41}, {13, 39, 40, 41}, {26, 39, 40, 41}, {2, 12, 39, 41}, {12, 15, 39, 41}, {12, 28, 39, 41}, {0, 1, 39, 41}, {0, 14, 39, 41}, {0, 27, 39, 41}, {1, 13, 39, 41}, {1, 26, 39, 41}, {2, 25, 39, 41}, {2, 38, 39, 41}, {15, 25, 39, 41}, {25, 28, 39, 41}, {13, 14, 39, 41}, {13, 27, 39, 41}, {14, 26, 39, 41}, {15, 38, 39, 41}, {28, 38, 39, 41}, {26, 27, 39, 41}, {1, 12, 40, 41}, {12, 14, 40, 41}, {12, 27, 40, 41}, {0, 13, 40, 41}, {0, 26, 40, 41}, {1, 25, 40, 41}, {1, 38, 40, 41}, {14, 25, 40, 41}, {25, 27, 40, 41}, {13, 26, 40, 41}, {14, 38, 40, 41}, {27, 38, 40, 41}, {12, 25, 41, 42}, {12, 38, 41, 42}, {25, 38, 41, 42}, {0, 2, 12, 41}, {0, 12, 15, 41}, {0, 12, 28, 41}, {1, 12, 14, 41}, {1, 12, 27, 41}, {2, 12, 13, 41}, {2, 12, 26, 41}, {3, 12, 25, 41}, {3, 12, 38, 41}, {12, 16, 25, 41}, {12, 25, 29, 41}, {12, 13, 15, 41}, {12, 13, 28, 41}, {12, 14, 27, 41}, {12, 15, 26, 41}, {12, 16, 38, 41}, {12, 29, 38, 41}, {12, 26, 28, 41}, {0, 1, 13, 41}, {0, 1, 26, 41}, {0, 2, 25, 41}, {0, 2, 38, 41}, {0, 15, 25, 41}, {0, 25, 28, 41}, {0, 13, 14, 41}, {0, 13, 27, 41}, {0, 14, 26, 41}, {0, 15, 38, 41}, {0, 28, 38, 41}, {0, 26, 27, 41}, {1, 14, 25, 41}, {1, 25, 27, 41}, {1, 13, 26, 41}, {1, 14, 38, 41}, {1, 27, 38, 41}, {2, 13, 25, 41}, {2, 25, 26, 41}, {2, 13, 38, 41}, {2, 26, 38, 41}, {3, 25, 38, 41}, {13, 15, 25, 41}, {13, 25, 28, 41}, {14, 25, 27, 41}, {15, 25, 26, 41}, {16, 25, 38, 41}, {25, 29, 38, 41}, {25, 26, 28, 41}, {13, 14, 26, 41}, {13, 15, 38, 41}, {13, 28, 38, 41}, {13, 26, 27, 41}, {14, 27, 38, 41}, {15, 26, 38, 41}, {26, 28, 38, 41}},
                {{12, 39, 40, 41, 51}, {25, 39, 40, 41, 51}, {38, 39, 40, 41, 51}, {1, 12, 39, 41, 51}, {12, 14, 39, 41, 51}, {12, 27, 39, 41, 51}, {0, 13, 39, 41, 51}, {0, 26, 39, 41, 51}, {1, 25, 39, 41, 51}, {1, 38, 39, 41, 51}, {14, 25, 39, 41, 51}, {25, 27, 39, 41, 51}, {13, 26, 39, 41, 51}, {14, 38, 39, 41, 51}, {27, 38, 39, 41, 51}, {0, 12, 40, 41, 51}, {12, 13, 40, 41, 51}, {12, 26, 40, 41, 51}, {0, 25, 40, 41, 51}, {0, 38, 40, 41, 51}, {13, 25, 40, 41, 51}, {25, 26, 40, 41, 51}, {13, 38, 40, 41, 51}, {26, 38, 40, 41, 51}, {0, 1, 12, 41, 51}, {0, 12, 14, 41, 51}, {0, 12, 27, 41, 51}, {1, 12, 13, 41, 51}, {1, 12, 26, 41, 51}, {2, 12, 25, 41, 51}, {2, 12, 38, 41, 51}, {12, 15, 25, 41, 51}, {12, 25, 28, 41, 51}, {12, 13, 14, 41, 51}, {12, 13, 27, 41, 51}, {12, 14, 26, 41, 51}, {12, 15, 38, 41, 51}, {12, 28, 38, 41, 51}, {12, 26, 27, 41, 51}, {0, 1, 25, 41, 51}, {0, 1, 38, 41, 51}, {0, 14, 25, 41, 51}, {0, 25, 27, 41, 51}, {0, 13, 26, 41, 51}, {0, 14, 38, 41, 51}, {0, 27, 38, 41, 51}, {1, 13, 25, 41, 51}, {1, 25, 26, 41, 51}, {1, 13, 38, 41, 51}, {1, 26, 38, 41, 51}, {2, 25, 38, 41, 51}, {13, 14, 25, 41, 51}, {13, 25, 27, 41, 51}, {14, 25, 26, 41, 51}, {15, 25, 38, 41, 51}, {25, 28, 38, 41, 51}, {25, 26, 27, 41, 51}, {13, 14, 38, 41, 51}, {13, 27, 38, 41, 51}, {14, 26, 38, 41, 51}, {26, 27, 38, 41, 51}, {12, 25, 39, 40, 41}, {12, 38, 39, 40, 41}, {25, 38, 39, 40, 41}, {0, 12, 13, 39, 41}, {0, 12, 26, 39, 41}, {1, 12, 25, 39, 41}, {1, 12, 38, 39, 41}, {12, 14, 25, 39, 41}, {12, 25, 27, 39, 41}, {12, 13, 26, 39, 41}, {12, 14, 38, 39, 41}, {12, 27, 38, 39, 41}, {0, 13, 25, 39, 41}, {0, 25, 26, 39, 41}, {0, 13, 38, 39, 41}, {0, 26, 38, 39, 41}, {1, 25, 38, 39, 41}, {13, 25, 26, 39, 41}, {14, 25, 38, 39, 41}, {25, 27, 38, 39, 41}, {13, 26, 38, 39, 41}, {0, 12, 25, 40, 41}, {0, 12, 38, 40, 41}, {12, 13, 25, 40, 41}, {12, 25, 26, 40, 41}, {12, 13, 38, 40, 41}, {12, 26, 38, 40, 41}, {0, 25, 38, 40, 41}, {13, 25, 38, 40, 41}, {25, 26, 38, 40, 41}, {0, 1, 12, 25, 41}, {0, 1, 12, 38, 41}, {0, 12, 14, 25, 41}, {0, 12, 25, 27, 41}, {0, 12, 13, 26, 41}, {0, 12, 14, 38, 41}, {0, 12, 27, 38, 41}, {1, 12, 13, 25, 41}, {1, 12, 25, 26, 41}, {1, 12, 13, 38, 41}, {1, 12, 26, 38, 41}, {2, 12, 25, 38, 41}, {12, 13, 14, 25, 41}, {12, 13, 25, 27, 41}, {12, 14, 25, 26, 41}, {12, 15, 25, 38, 41}, {12, 25, 28, 38, 41}, {12, 25, 26, 27, 41}, {12, 13, 14, 38, 41}, {12, 13, 27, 38, 41}, {12, 14, 26, 38, 41}, {12, 26, 27, 38, 41}, {0, 1, 25, 38, 41}, {0, 13, 25, 26, 41}, {0, 14, 25, 38, 41}, {0, 25, 27, 38, 41}, {0, 13, 26, 38, 41}, {1, 13, 25, 38, 41}, {1, 25, 26, 38, 41}, {13, 14, 25, 38, 41}, {13, 25, 27, 38, 41}, {14, 25, 26, 38, 41}, {25, 26, 27, 38, 41}},
                {{0, 12, 25, 39, 41, 51}, {0, 12, 38, 39, 41, 51}, {12, 13, 25, 39, 41, 51}, {12, 25, 26, 39, 41, 51}, {12, 13, 38, 39, 41, 51}, {12, 26, 38, 39, 41, 51}, {0, 25, 38, 39, 41, 51}, {13, 25, 38, 39, 41, 51}, {25, 26, 38, 39, 41, 51}, {12, 25, 38, 40, 41, 51}, {0, 12, 13, 25, 41, 51}, {0, 12, 25, 26, 41, 51}, {0, 12, 13, 38, 41, 51}, {0, 12, 26, 38, 41, 51}, {1, 12, 25, 38, 41, 51}, {12, 13, 25, 26, 41, 51}, {12, 14, 25, 38, 41, 51}, {12, 25, 27, 38, 41, 51}, {12, 13, 26, 38, 41, 51}, {0, 13, 25, 38, 41, 51}, {0, 25, 26, 38, 41, 51}, {13, 25, 26, 38, 41, 51}, {0, 12, 25, 38, 39, 41}, {12, 13, 25, 38, 39, 41}, {12, 25, 26, 38, 39, 41}, {0, 12, 13, 25, 38, 41}, {0, 12, 25, 26, 38, 41}, {12, 13, 25, 26, 38, 41}}
            },
            {
                {{42, 43}, {4, 42}, {17, 42}, {30, 42}},
                {{3, 42, 51}, {16, 42, 51}, {29, 42, 51}, {39, 41, 42}, {2, 39, 42}, {15, 39, 42}, {28, 39, 42}, {1, 40, 42}, {14, 40, 42}, {27, 40, 42}, {0, 41, 42}, {13, 41, 42}, {26, 41, 42}, {3, 12, 42}, {12, 16, 42}, {12, 29, 42}, {0, 2, 42}, {0, 15, 42}, {0, 28, 42}, {1, 14, 42}, {1, 27, 42}, {2, 13, 42}, {2, 26, 42}, {3, 25, 42}, {3, 38, 42}, {16, 25, 42}, {25, 29, 42}, {13, 15, 42}, {13, 28, 42}, {14, 27, 42}, {15, 26, 42}, {16, 38, 42}, {29, 38, 42}, {26, 28, 42}},
                {{39, 40, 42, 51}, {1, 39, 42, 51}, {14, 39, 42, 51}, {27, 39, 42, 51}, {0, 40, 42, 51}, {13, 40, 42, 51}, {26, 40, 42, 51}, {12, 41, 42, 51}, {25, 41, 42, 51}, {38, 41, 42, 51}, {2, 12, 42, 51}, {12, 15, 42, 51}, {12, 28, 42, 51}, {0, 1, 42, 51}, {0, 14, 42, 51}, {0, 27, 42, 51}, {1, 13, 42, 51}, {1, 26, 42, 51}, {2, 25, 42, 51}, {2, 38, 42, 51}, {15, 25, 42, 51}, {25, 28, 42, 51}, {13, 14, 42, 51}, {13, 27, 42, 51}, {14, 26, 42, 51}, {15, 38, 42, 51}, {28, 38, 42, 51}, {26, 27, 42, 51}, {12, 39, 40, 42}, {25, 39, 40, 42}, {38, 39, 40, 42}, {1, 12, 39, 42}, {12, 14, 39, 42}, {12, 27, 39, 42}, {0, 13, 39, 42}, {0, 26, 39, 42}, {1, 25, 39, 42}, {1, 38, 39, 42}, {14, 25, 39, 42}, {25, 27, 39, 42}, {13, 26, 39, 42}, {14, 38, 39, 42}, {27, 38, 39, 42}, {0, 12, 40, 42}, {12, 13, 40, 42}, {12, 26, 40, 42}, {0, 25, 40, 42}, {0, 38, 40, 42}, {13, 25, 40, 42}, {25, 26, 40, 42}, {13, 38, 40, 42}, {26, 38, 40, 42}, {12, 25, 41, 42}, {12, 38, 41, 42}, {25, 38, 41, 42}, {0, 1, 12, 42}, {0, 12, 14, 42}, {0, 12, 27, 42}, {1, 12, 13, 42}, {1, 12, 26, 42}, {2, 12, 25, 42}, {2, 12, 38, 42}, {12, 15, 25, 42}, {12, 25, 28, 42}, {12, 13, 14, 42}, {12, 13, 27, 42}, {12, 14, 26, 42}, {12, 15, 38, 42}, {12, 28, 38, 42}, {12, 26, 27, 42}, {0, 1, 25, 42}, {0, 1, 38, 42}, {0, 14, 25, 42}, {0, 25, 27, 42}, {0, 13, 26, 42}, {0, 14, 38, 42}, {0, 27, 38, 42}, {1, 13, 25, 42}, {1, 25, 26, 42}, {1, 13, 38, 42}, {1, 26, 38, 42}, {2, 25, 38, 42}, {13, 14, 25, 42}, {13, 25, 27, 42}, {14, 25, 26, 42}, {15, 25, 38, 42}, {25, 28, 38, 42}, {25, 26, 27, 42}, {13, 14, 38, 42}, {13, 27, 38, 42}, {14, 26, 38, 42}, {26, 27, 38, 42}},
                {{0, 12, 39, 42, 51}, {12, 13, 39, 42, 51}, {12, 26, 39, 42, 51}, {0, 25, 39, 42, 51}, {0, 38, 39, 42, 51}, {13, 25, 39, 42, 51}, {25, 26, 39, 42, 51}, {13, 38, 39, 42, 51}, {26, 38, 39, 42, 51}, {12, 25, 40, 42, 51}, {12, 38, 40, 42, 51}, {25, 38, 40, 42, 51}, {0, 12, 13, 42, 51}, {0, 12, 26, 42, 51}, {1, 12, 25, 42, 51}, {1, 12, 38, 42, 51}, {12, 14, 25, 42, 51}, {12, 25, 27, 42, 51}, {12, 13, 26, 42, 51}, {12, 14, 38, 42, 51}, {12, 27, 38, 42, 51}, {0, 13, 25, 42, 51}, {0, 25, 26, 42, 51}, {0, 13, 38, 42, 51}, {0, 26, 38, 42, 51}, {1, 25, 38, 42, 51}, {13, 25, 26, 42, 51}, {14, 25, 38, 42, 51}, {25, 27, 38, 42, 51}, {13, 26, 38, 42, 51}, {0, 12, 25, 39, 42}, {0, 12, 38, 39, 42}, {12, 13, 25, 39, 42}, {12, 25, 26, 39, 42}, {12, 13, 38, 39, 42}, {12, 26, 38, 39, 42}, {0, 25, 38, 39, 42}, {13, 25, 38, 39, 42}, {25, 26, 38, 39, 42}, {12, 25, 38, 40, 42}, {0, 12, 13, 25, 42}, {0, 12, 25, 26, 42}, {0, 12, 13, 38, 42}, {0, 12, 26, 38, 42}, {1, 12, 25, 38, 42}, {12, 13, 25, 26, 42}, {12, 14, 25, 38, 42}, {12, 25, 27, 38, 42}, {12, 13, 26, 38, 42}, {0, 13, 25, 38, 42}, {0, 25, 26, 38, 42}, {13, 25, 26, 38, 42}},
                {{12, 25, 38, 39, 42, 51}, {0, 12, 25, 38, 42, 51}, {12, 13, 25, 38, 42, 51}, {12, 25, 26, 38, 42, 51}}
            }
            ,
            {
                {{42, 43}, {3, 43}, {16, 43}, {29, 43}},
                {{41, 43, 51}, {2, 43, 51}, {15, 43, 51}, {28, 43, 51}, {39, 40, 43}, {1, 39, 43}, {14, 39, 43}, {27, 39, 43}, {0, 40, 43}, {13, 40, 43}, {26, 40, 43}, {12, 41, 43}, {25, 41, 43}, {38, 41, 43}, {2, 12, 43}, {12, 15, 43}, {12, 28, 43}, {0, 1, 43}, {0, 14, 43}, {0, 27, 43}, {1, 13, 43}, {1, 26, 43}, {2, 25, 43}, {2, 38, 43}, {15, 25, 43}, {25, 28, 43}, {13, 14, 43}, {13, 27, 43}, {14, 26, 43}, {15, 38, 43}, {28, 38, 43}, {26, 27, 43}},
                {{0, 39, 43, 51}, {13, 39, 43, 51}, {26, 39, 43, 51}, {12, 40, 43, 51}, {25, 40, 43, 51}, {38, 40, 43, 51}, {1, 12, 43, 51}, {12, 14, 43, 51}, {12, 27, 43, 51}, {0, 13, 43, 51}, {0, 26, 43, 51}, {1, 25, 43, 51}, {1, 38, 43, 51}, {14, 25, 43, 51}, {25, 27, 43, 51}, {13, 26, 43, 51}, {14, 38, 43, 51}, {27, 38, 43, 51}, {0, 12, 39, 43}, {12, 13, 39, 43}, {12, 26, 39, 43}, {0, 25, 39, 43}, {0, 38, 39, 43}, {13, 25, 39, 43}, {25, 26, 39, 43}, {13, 38, 39, 43}, {26, 38, 39, 43}, {12, 25, 40, 43}, {12, 38, 40, 43}, {25, 38, 40, 43}, {0, 12, 13, 43}, {0, 12, 26, 43}, {1, 12, 25, 43}, {1, 12, 38, 43}, {12, 14, 25, 43}, {12, 25, 27, 43}, {12, 13, 26, 43}, {12, 14, 38, 43}, {12, 27, 38, 43}, {0, 13, 25, 43}, {0, 25, 26, 43}, {0, 13, 38, 43}, {0, 26, 38, 43}, {1, 25, 38, 43}, {13, 25, 26, 43}, {14, 25, 38, 43}, {25, 27, 38, 43}, {13, 26, 38, 43}},
                {{12, 25, 39, 43, 51}, {12, 38, 39, 43, 51}, {25, 38, 39, 43, 51}, {0, 12, 25, 43, 51}, {0, 12, 38, 43, 51}, {12, 13, 25, 43, 51}, {12, 25, 26, 43, 51}, {12, 13, 38, 43, 51}, {12, 26, 38, 43, 51}, {0, 25, 38, 43, 51}, {13, 25, 38, 43, 51}, {25, 26, 38, 43, 51}, {12, 25, 38, 39, 43}, {0, 12, 25, 38, 43}, {12, 13, 25, 38, 43}, {12, 25, 26, 38, 43}},
                {}
            },
            {
                {{41, 44}, {2, 44}, {15, 44}, {28, 44}},
                {{40, 44, 51}, {1, 44, 51}, {14, 44, 51}, {27, 44, 51}, {0, 39, 44}, {13, 39, 44}, {26, 39, 44}, {12, 40, 44}, {25, 40, 44}, {38, 40, 44}, {1, 12, 44}, {12, 14, 44}, {12, 27, 44}, {0, 13, 44}, {0, 26, 44}, {1, 25, 44}, {1, 38, 44}, {14, 25, 44}, {25, 27, 44}, {13, 26, 44}, {14, 38, 44}, {27, 38, 44}},
                {{12, 39, 44, 51}, {25, 39, 44, 51}, {38, 39, 44, 51}, {0, 12, 44, 51}, {12, 13, 44, 51}, {12, 26, 44, 51}, {0, 25, 44, 51}, {0, 38, 44, 51}, {13, 25, 44, 51}, {25, 26, 44, 51}, {13, 38, 44, 51}, {26, 38, 44, 51}, {12, 25, 39, 44}, {12, 38, 39, 44}, {25, 38, 39, 44}, {0, 12, 25, 44}, {0, 12, 38, 44}, {12, 13, 25, 44}, {12, 25, 26, 44}, {12, 13, 38, 44}, {12, 26, 38, 44}, {0, 25, 38, 44}, {13, 25, 38, 44}, {25, 26, 38, 44}},
                {{12, 25, 38, 44, 51}},
                {}
            },
            {
                {{40, 45}, {1, 45}, {14, 45}, {27, 45}},
                {{39, 45, 51}, {0, 45, 51}, {13, 45, 51}, {26, 45, 51}, {12, 39, 45}, {25, 39, 45}, {38, 39, 45}, {0, 12, 45}, {12, 13, 45}, {12, 26, 45}, {0, 25, 45}, {0, 38, 45}, {13, 25, 45}, {25, 26, 45}, {13, 38, 45}, {26, 38, 45}},
                {{12, 25, 45, 51}, {12, 38, 45, 51}, {25, 38, 45, 51}, {12, 25, 38, 45}},
                {},
                {}
            }
            ,
            {
                {{39, 46}, {0, 46}, {13, 46}, {26, 46}},
                {{12, 46, 51}, {25, 46, 51}, {38, 46, 51}, {12, 25, 46}, {12, 38, 46}, {25, 38, 46}},
                {},
                {},
                {}
            },
            {
                {{47, 51}, {12, 47}, {25, 47}, {38, 47}},
                {},
                {},
                {},
                {}
            },
            {
                // Js
            },
            {
                {{10, 49},{23, 49},{36, 49}},
                {},
                {},
                {},
                {}
            },
            {
                {{11, 50},{24, 50},{37, 50}},
                {},
                {},
                {},
                {}
            },
            {
                {{47, 51}, {8, 51}, {21, 51}, {34, 51}},
                {{39, 45, 51}, {6, 39, 51}, {19, 39, 51}, {32, 39, 51}, {40, 44, 51}, {5, 40, 51}, {18, 40, 51}, {31, 40, 51}, {41, 43, 51}, {4, 41, 51}, {17, 41, 51}, {30, 41, 51}, {3, 42, 51}, {16, 42, 51}, {29, 42, 51}, {2, 43, 51}, {15, 43, 51}, {28, 43, 51}, {1, 44, 51}, {14, 44, 51}, {27, 44, 51}, {0, 45, 51}, {13, 45, 51}, {26, 45, 51}, {12, 46, 51}, {25, 46, 51}, {38, 46, 51}, {7, 12, 51}, {12, 20, 51}, {12, 33, 51}, {0, 6, 51}, {0, 19, 51}, {0, 32, 51}, {1, 5, 51}, {1, 18, 51}, {1, 31, 51}, {2, 4, 51}, {2, 17, 51}, {2, 30, 51}, {3, 16, 51}, {3, 29, 51}, {4, 15, 51}, {4, 28, 51}, {5, 14, 51}, {5, 27, 51}, {6, 13, 51}, {6, 26, 51}, {7, 25, 51}, {7, 38, 51}, {20, 25, 51}, {25, 33, 51}, {13, 19, 51}, {13, 32, 51}, {14, 18, 51}, {14, 31, 51}, {15, 17, 51}, {15, 30, 51}, {16, 29, 51}, {17, 28, 51}, {18, 27, 51}, {19, 26, 51}, {20, 38, 51}, {33, 38, 51}, {26, 32, 51}, {27, 31, 51}, {28, 30, 51}},
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51}, {0, 12, 26, 27, 39, 51}, {1, 12, 14, 25, 39, 51}, {1, 12, 25, 27, 39, 51}, {1, 12, 13, 26, 39, 51}, {1, 12, 14, 38, 39, 51}, {1, 12, 27, 38, 39, 51}, {2, 12, 13, 25, 39, 51}, {2, 12, 25, 26, 39, 51}, {2, 12, 13, 38, 39, 51}, {2, 12, 26, 38, 39, 51}, {3, 12, 25, 38, 39, 51}, {12, 13, 15, 25, 39, 51}, {12, 13, 25, 28, 39, 51}, {12, 14, 25, 27, 39, 51}, {12, 15, 25, 26, 39, 51}, {12, 16, 25, 38, 39, 51}, {12, 25, 29, 38, 39, 51}, {12, 25, 26, 28, 39, 51}, {12, 13, 14, 26, 39, 51}, {12, 13, 15, 38, 39, 51}, {12, 13, 28, 38, 39, 51}, {12, 13, 26, 27, 39, 51}, {12, 14, 27, 38, 39, 51}, {12, 15, 26, 38, 39, 51}, {12, 26, 28, 38, 39, 51}, {0, 1, 13, 25, 39, 51}, {0, 1, 25, 26, 39, 51}, {0, 1, 13, 38, 39, 51}, {0, 1, 26, 38, 39, 51}, {0, 2, 25, 38, 39, 51}, {0, 13, 14, 25, 39, 51}, {0, 13, 25, 27, 39, 51}, {0, 14, 25, 26, 39, 51}, {0, 15, 25, 38, 39, 51}, {0, 25, 28, 38, 39, 51}, {0, 25, 26, 27, 39, 51}, {0, 13, 14, 38, 39, 51}, {0, 13, 27, 38, 39, 51}, {0, 14, 26, 38, 39, 51}, {0, 26, 27, 38, 39, 51}, {1, 13, 25, 26, 39, 51}, {1, 14, 25, 38, 39, 51}, {1, 25, 27, 38, 39, 51}, {1, 13, 26, 38, 39, 51}, {2, 13, 25, 38, 39, 51}, {2, 25, 26, 38, 39, 51}, {13, 14, 25, 26, 39, 51}, {13, 15, 25, 38, 39, 51}, {13, 25, 28, 38, 39, 51}, {13, 25, 26, 27, 39, 51}, {14, 25, 27, 38, 39, 51}, {15, 25, 26, 38, 39, 51}, {25, 26, 28, 38, 39, 51}, {13, 14, 26, 38, 39, 51}, {13, 26, 27, 38, 39, 51}, {12, 25, 38, 40, 41, 51}, {0, 1, 12, 25, 40, 51}, {0, 1, 12, 38, 40, 51}, {0, 12, 14, 25, 40, 51}, {0, 12, 25, 27, 40, 51}, {0, 12, 13, 26, 40, 51}, {0, 12, 14, 38, 40, 51}, {0, 12, 27, 38, 40, 51}, {1, 12, 13, 25, 40, 51}, {1, 12, 25, 26, 40, 51}, {1, 12, 13, 38, 40, 51}, {1, 12, 26, 38, 40, 51}, {2, 12, 25, 38, 40, 51}, {12, 13, 14, 25, 40, 51}, {12, 13, 25, 27, 40, 51}, {12, 14, 25, 26, 40, 51}, {12, 15, 25, 38, 40, 51}, {12, 25, 28, 38, 40, 51}, {12, 25, 26, 27, 40, 51}, {12, 13, 14, 38, 40, 51}, {12, 13, 27, 38, 40, 51}, {12, 14, 26, 38, 40, 51}, {12, 26, 27, 38, 40, 51}, {0, 1, 25, 38, 40, 51}, {0, 13, 25, 26, 40, 51}, {0, 14, 25, 38, 40, 51}, {0, 25, 27, 38, 40, 51}, {0, 13, 26, 38, 40, 51}, {1, 13, 25, 38, 40, 51}, {1, 25, 26, 38, 40, 51}, {13, 14, 25, 38, 40, 51}, {13, 25, 27, 38, 40, 51}, {14, 25, 26, 38, 40, 51}, {25, 26, 27, 38, 40, 51}, {0, 12, 13, 25, 41, 51}, {0, 12, 25, 26, 41, 51}, {0, 12, 13, 38, 41, 51}, {0, 12, 26, 38, 41, 51}, {1, 12, 25, 38, 41, 51}, {12, 13, 25, 26, 41, 51}, {12, 14, 25, 38, 41, 51}, {12, 25, 27, 38, 41, 51}, {12, 13, 26, 38, 41, 51}, {0, 13, 25, 38, 41, 51}, {0, 25, 26, 38, 41, 51}, {13, 25, 26, 38, 41, 51}, {0, 12, 25, 38, 42, 51}, {12, 13, 25, 38, 42, 51}, {12, 25, 26, 38, 42, 51}, {0, 1, 12, 14, 25, 51}, {0, 1, 12, 25, 27, 51}, {0, 1, 12, 13, 26, 51}, {0, 1, 12, 14, 38, 51}, {0, 1, 12, 27, 38, 51}, {0, 2, 12, 13, 25, 51}, {0, 2, 12, 25, 26, 51}, {0, 2, 12, 13, 38, 51}, {0, 2, 12, 26, 38, 51}, {0, 3, 12, 25, 38, 51}, {0, 12, 13, 15, 25, 51}, {0, 12, 13, 25, 28, 51}, {0, 12, 14, 25, 27, 51}, {0, 12, 15, 25, 26, 51}, {0, 12, 16, 25, 38, 51}, {0, 12, 25, 29, 38, 51}, {0, 12, 25, 26, 28, 51}, {0, 12, 13, 14, 26, 51}, {0, 12, 13, 15, 38, 51}, {0, 12, 13, 28, 38, 51}, {0, 12, 13, 26, 27, 51}, {0, 12, 14, 27, 38, 51}, {0, 12, 15, 26, 38, 51}, {0, 12, 26, 28, 38, 51}, {1, 2, 12, 25, 38, 51}, {1, 12, 13, 14, 25, 51}, {1, 12, 13, 25, 27, 51}, {1, 12, 14, 25, 26, 51}, {1, 12, 15, 25, 38, 51}, {1, 12, 25, 28, 38, 51}, {1, 12, 25, 26, 27, 51}, {1, 12, 13, 14, 38, 51}, {1, 12, 13, 27, 38, 51}, {1, 12, 14, 26, 38, 51}, {1, 12, 26, 27, 38, 51}, {2, 12, 13, 25, 26, 51}, {2, 12, 14, 25, 38, 51}, {2, 12, 25, 27, 38, 51}, {2, 12, 13, 26, 38, 51}, {3, 12, 13, 25, 38, 51}, {3, 12, 25, 26, 38, 51}, {12, 13, 14, 25, 27, 51}, {12, 13, 15, 25, 26, 51}, {12, 13, 16, 25, 38, 51}, {12, 13, 25, 29, 38, 51}, {12, 13, 25, 26, 28, 51}, {12, 14, 15, 25, 38, 51}, {12, 14, 25, 28, 38, 51}, {12, 14, 25, 26, 27, 51}, {12, 15, 25, 27, 38, 51}, {12, 16, 25, 26, 38, 51}, {12, 25, 26, 29, 38, 51}, {12, 25, 27, 28, 38, 51}, {12, 13, 14, 27, 38, 51}, {12, 13, 15, 26, 38, 51}, {12, 13, 26, 28, 38, 51}, {12, 14, 26, 27, 38, 51}, {0, 1, 13, 25, 26, 51}, {0, 1, 14, 25, 38, 51}, {0, 1, 25, 27, 38, 51}, {0, 1, 13, 26, 38, 51}, {0, 2, 13, 25, 38, 51}, {0, 2, 25, 26, 38, 51}, {0, 13, 14, 25, 26, 51}, {0, 13, 15, 25, 38, 51}, {0, 13, 25, 28, 38, 51}, {0, 13, 25, 26, 27, 51}, {0, 14, 25, 27, 38, 51}, {0, 15, 25, 26, 38, 51}, {0, 25, 26, 28, 38, 51}, {0, 13, 14, 26, 38, 51}, {0, 13, 26, 27, 38, 51}, {1, 13, 14, 25, 38, 51}, {1, 13, 25, 27, 38, 51}, {1, 14, 25, 26, 38, 51}, {1, 25, 26, 27, 38, 51}, {2, 13, 25, 26, 38, 51}, {13, 14, 25, 27, 38, 51}, {13, 15, 25, 26, 38, 51}, {13, 25, 26, 28, 38, 51}, {14, 25, 26, 27, 38, 51}}
            }
        };

Permutation::Permutation(int card, std::vector<int> tableCards){
    std::vector<int> cleanTableCards;
    match.clear();
    if(
        (card == 9) ||
        (card == 22) ||
        (card == 35) ||
        (card == 48)
    ) {
        cleanTableCards = removeFaces(tableCards);
        cleanTableCards.push_back(card);
        match.push_back(cleanTableCards);
    } else {
        cleanTableCards = removeJacks(tableCards);
        std::vector<int> diff;

        for (int i = 0; i < combinations[card].size(); i++)
        {
            for(int j = 0; j < combinations[card][i].size() ; j++){
                std::set_difference(combinations[card][i][j].begin(), combinations[card][i][j].end(), cleanTableCards.begin(), cleanTableCards.end(), std::inserter(diff, diff.begin()));
                if(diff.size() == 1){
                    match.push_back(combinations[card][i][j]);
                }
                diff.clear();
            }
        }
        if(match.size() == 0){
            diff.push_back(card);
            match.push_back(diff);
        }
    }
}

std::vector<std::vector<int>> Permutation::getMatch(){
    return match;
}

std::vector<int> Permutation::removeJacks(std::vector<int> tableCards){
    std::vector<int> cleanTableCards;
    for (int i = 0; i < tableCards.size(); i++)
    {
        if(
            (tableCards[i] != 9) &&
            (tableCards[i] != 22) &&
            (tableCards[i] != 35) &&
            (tableCards[i] != 48)
        ) {
            cleanTableCards.push_back(tableCards[i]);
        }
    }
    sort(cleanTableCards.begin(), cleanTableCards.end()); 
    return cleanTableCards;
}

std::vector<int> Permutation::removeFaces(std::vector<int> tableCards){
    std::vector<int> cleanTableCards;
    for (int i = 0; i < tableCards.size(); i++)
    {
        if(
            (tableCards[i] != 10) &&
            (tableCards[i] != 11) &&
            (tableCards[i] != 23) &&
            (tableCards[i] != 24) &&
            (tableCards[i] != 36) &&
            (tableCards[i] != 37) &&
            (tableCards[i] != 49) &&
            (tableCards[i] != 50)
        ) {
            cleanTableCards.push_back(tableCards[i]);
        }
    }
    sort(cleanTableCards.begin(), cleanTableCards.end()); 
    return cleanTableCards;
}

void Permutation::explain(){
    for (int i = 0; i < match.size(); i++)
    {
        std::cout << "Possible Play : "; 
        for (int j = 0; j < match[i].size(); j++)
        {
            Card c(match[i][j]);
            std::cout << c.toString() << " <-> " ;
        }
        std::cout << endl;
    }
    
}