const unsigned char perm_4[4096][4] = { {0,0,0,0}, {0,0,0,1}, {0,0,0,2}, {0,0,0,3}, {0,0,0,4}, {0,0,0,5}, {0,0,0,6}, {0,0,0,7}, {0,0,1,0}, {0,0,1,1}, {0,0,1,2}, {0,0,1,3}, {0,0,1,4}, {0,0,1,5}, {0,0,1,6}, {0,0,1,7}, {0,0,2,0}, {0,0,2,1}, {0,0,2,2}, {0,0,2,3}, {0,0,2,4}, {0,0,2,5}, {0,0,2,6}, {0,0,2,7}, {0,0,3,0}, {0,0,3,1}, {0,0,3,2}, {0,0,3,3}, {0,0,3,4}, {0,0,3,5}, {0,0,3,6}, {0,0,3,7}, {0,0,4,0}, {0,0,4,1}, {0,0,4,2}, {0,0,4,3}, {0,0,4,4}, {0,0,4,5}, {0,0,4,6}, {0,0,4,7}, {0,0,5,0}, {0,0,5,1}, {0,0,5,2}, {0,0,5,3}, {0,0,5,4}, {0,0,5,5}, {0,0,5,6}, {0,0,5,7}, {0,0,6,0}, {0,0,6,1}, {0,0,6,2}, {0,0,6,3}, {0,0,6,4}, {0,0,6,5}, {0,0,6,6}, {0,0,6,7}, {0,0,7,0}, {0,0,7,1}, {0,0,7,2}, {0,0,7,3}, {0,0,7,4}, {0,0,7,5}, {0,0,7,6}, {0,0,7,7}, {0,1,0,0}, {0,1,0,1}, {0,1,0,2}, {0,1,0,3}, {0,1,0,4}, {0,1,0,5}, {0,1,0,6}, {0,1,0,7}, {0,1,1,0}, {0,1,1,1}, {0,1,1,2}, {0,1,1,3}, {0,1,1,4}, {0,1,1,5}, {0,1,1,6}, {0,1,1,7}, {0,1,2,0}, {0,1,2,1}, {0,1,2,2}, {0,1,2,3}, {0,1,2,4}, {0,1,2,5}, {0,1,2,6}, {0,1,2,7}, {0,1,3,0}, {0,1,3,1}, {0,1,3,2}, {0,1,3,3}, {0,1,3,4}, {0,1,3,5}, {0,1,3,6}, {0,1,3,7}, {0,1,4,0}, {0,1,4,1}, {0,1,4,2}, {0,1,4,3}, {0,1,4,4}, {0,1,4,5}, {0,1,4,6}, {0,1,4,7}, {0,1,5,0}, {0,1,5,1}, {0,1,5,2}, {0,1,5,3}, {0,1,5,4}, {0,1,5,5}, {0,1,5,6}, {0,1,5,7}, {0,1,6,0}, {0,1,6,1}, {0,1,6,2}, {0,1,6,3}, {0,1,6,4}, {0,1,6,5}, {0,1,6,6}, {0,1,6,7}, {0,1,7,0}, {0,1,7,1}, {0,1,7,2}, {0,1,7,3}, {0,1,7,4}, {0,1,7,5}, {0,1,7,6}, {0,1,7,7}, {0,2,0,0}, {0,2,0,1}, {0,2,0,2}, {0,2,0,3}, {0,2,0,4}, {0,2,0,5}, {0,2,0,6}, {0,2,0,7}, {0,2,1,0}, {0,2,1,1}, {0,2,1,2}, {0,2,1,3}, {0,2,1,4}, {0,2,1,5}, {0,2,1,6}, {0,2,1,7}, {0,2,2,0}, {0,2,2,1}, {0,2,2,2}, {0,2,2,3}, {0,2,2,4}, {0,2,2,5}, {0,2,2,6}, {0,2,2,7}, {0,2,3,0}, {0,2,3,1}, {0,2,3,2}, {0,2,3,3}, {0,2,3,4}, {0,2,3,5}, {0,2,3,6}, {0,2,3,7}, {0,2,4,0}, {0,2,4,1}, {0,2,4,2}, {0,2,4,3}, {0,2,4,4}, {0,2,4,5}, {0,2,4,6}, {0,2,4,7}, {0,2,5,0}, {0,2,5,1}, {0,2,5,2}, {0,2,5,3}, {0,2,5,4}, {0,2,5,5}, {0,2,5,6}, {0,2,5,7}, {0,2,6,0}, {0,2,6,1}, {0,2,6,2}, {0,2,6,3}, {0,2,6,4}, {0,2,6,5}, {0,2,6,6}, {0,2,6,7}, {0,2,7,0}, {0,2,7,1}, {0,2,7,2}, {0,2,7,3}, {0,2,7,4}, {0,2,7,5}, {0,2,7,6}, {0,2,7,7}, {0,3,0,0}, {0,3,0,1}, {0,3,0,2}, {0,3,0,3}, {0,3,0,4}, {0,3,0,5}, {0,3,0,6}, {0,3,0,7}, {0,3,1,0}, {0,3,1,1}, {0,3,1,2}, {0,3,1,3}, {0,3,1,4}, {0,3,1,5}, {0,3,1,6}, {0,3,1,7}, {0,3,2,0}, {0,3,2,1}, {0,3,2,2}, {0,3,2,3}, {0,3,2,4}, {0,3,2,5}, {0,3,2,6}, {0,3,2,7}, {0,3,3,0}, {0,3,3,1}, {0,3,3,2}, {0,3,3,3}, {0,3,3,4}, {0,3,3,5}, {0,3,3,6}, {0,3,3,7}, {0,3,4,0}, {0,3,4,1}, {0,3,4,2}, {0,3,4,3}, {0,3,4,4}, {0,3,4,5}, {0,3,4,6}, {0,3,4,7}, {0,3,5,0}, {0,3,5,1}, {0,3,5,2}, {0,3,5,3}, {0,3,5,4}, {0,3,5,5}, {0,3,5,6}, {0,3,5,7}, {0,3,6,0}, {0,3,6,1}, {0,3,6,2}, {0,3,6,3}, {0,3,6,4}, {0,3,6,5}, {0,3,6,6}, {0,3,6,7}, {0,3,7,0}, {0,3,7,1}, {0,3,7,2}, {0,3,7,3}, {0,3,7,4}, {0,3,7,5}, {0,3,7,6}, {0,3,7,7}, {0,4,0,0}, {0,4,0,1}, {0,4,0,2}, {0,4,0,3}, {0,4,0,4}, {0,4,0,5}, {0,4,0,6}, {0,4,0,7}, {0,4,1,0}, {0,4,1,1}, {0,4,1,2}, {0,4,1,3}, {0,4,1,4}, {0,4,1,5}, {0,4,1,6}, {0,4,1,7}, {0,4,2,0}, {0,4,2,1}, {0,4,2,2}, {0,4,2,3}, {0,4,2,4}, {0,4,2,5}, {0,4,2,6}, {0,4,2,7}, {0,4,3,0}, {0,4,3,1}, {0,4,3,2}, {0,4,3,3}, {0,4,3,4}, {0,4,3,5}, {0,4,3,6}, {0,4,3,7}, {0,4,4,0}, {0,4,4,1}, {0,4,4,2}, {0,4,4,3}, {0,4,4,4}, {0,4,4,5}, {0,4,4,6}, {0,4,4,7}, {0,4,5,0}, {0,4,5,1}, {0,4,5,2}, {0,4,5,3}, {0,4,5,4}, {0,4,5,5}, {0,4,5,6}, {0,4,5,7}, {0,4,6,0}, {0,4,6,1}, {0,4,6,2}, {0,4,6,3}, {0,4,6,4}, {0,4,6,5}, {0,4,6,6}, {0,4,6,7}, {0,4,7,0}, {0,4,7,1}, {0,4,7,2}, {0,4,7,3}, {0,4,7,4}, {0,4,7,5}, {0,4,7,6}, {0,4,7,7}, {0,5,0,0}, {0,5,0,1}, {0,5,0,2}, {0,5,0,3}, {0,5,0,4}, {0,5,0,5}, {0,5,0,6}, {0,5,0,7}, {0,5,1,0}, {0,5,1,1}, {0,5,1,2}, {0,5,1,3}, {0,5,1,4}, {0,5,1,5}, {0,5,1,6}, {0,5,1,7}, {0,5,2,0}, {0,5,2,1}, {0,5,2,2}, {0,5,2,3}, {0,5,2,4}, {0,5,2,5}, {0,5,2,6}, {0,5,2,7}, {0,5,3,0}, {0,5,3,1}, {0,5,3,2}, {0,5,3,3}, {0,5,3,4}, {0,5,3,5}, {0,5,3,6}, {0,5,3,7}, {0,5,4,0}, {0,5,4,1}, {0,5,4,2}, {0,5,4,3}, {0,5,4,4}, {0,5,4,5}, {0,5,4,6}, {0,5,4,7}, {0,5,5,0}, {0,5,5,1}, {0,5,5,2}, {0,5,5,3}, {0,5,5,4}, {0,5,5,5}, {0,5,5,6}, {0,5,5,7}, {0,5,6,0}, {0,5,6,1}, {0,5,6,2}, {0,5,6,3}, {0,5,6,4}, {0,5,6,5}, {0,5,6,6}, {0,5,6,7}, {0,5,7,0}, {0,5,7,1}, {0,5,7,2}, {0,5,7,3}, {0,5,7,4}, {0,5,7,5}, {0,5,7,6}, {0,5,7,7}, {0,6,0,0}, {0,6,0,1}, {0,6,0,2}, {0,6,0,3}, {0,6,0,4}, {0,6,0,5}, {0,6,0,6}, {0,6,0,7}, {0,6,1,0}, {0,6,1,1}, {0,6,1,2}, {0,6,1,3}, {0,6,1,4}, {0,6,1,5}, {0,6,1,6}, {0,6,1,7}, {0,6,2,0}, {0,6,2,1}, {0,6,2,2}, {0,6,2,3}, {0,6,2,4}, {0,6,2,5}, {0,6,2,6}, {0,6,2,7}, {0,6,3,0}, {0,6,3,1}, {0,6,3,2}, {0,6,3,3}, {0,6,3,4}, {0,6,3,5}, {0,6,3,6}, {0,6,3,7}, {0,6,4,0}, {0,6,4,1}, {0,6,4,2}, {0,6,4,3}, {0,6,4,4}, {0,6,4,5}, {0,6,4,6}, {0,6,4,7}, {0,6,5,0}, {0,6,5,1}, {0,6,5,2}, {0,6,5,3}, {0,6,5,4}, {0,6,5,5}, {0,6,5,6}, {0,6,5,7}, {0,6,6,0}, {0,6,6,1}, {0,6,6,2}, {0,6,6,3}, {0,6,6,4}, {0,6,6,5}, {0,6,6,6}, {0,6,6,7}, {0,6,7,0}, {0,6,7,1}, {0,6,7,2}, {0,6,7,3}, {0,6,7,4}, {0,6,7,5}, {0,6,7,6}, {0,6,7,7}, {0,7,0,0}, {0,7,0,1}, {0,7,0,2}, {0,7,0,3}, {0,7,0,4}, {0,7,0,5}, {0,7,0,6}, {0,7,0,7}, {0,7,1,0}, {0,7,1,1}, {0,7,1,2}, {0,7,1,3}, {0,7,1,4}, {0,7,1,5}, {0,7,1,6}, {0,7,1,7}, {0,7,2,0}, {0,7,2,1}, {0,7,2,2}, {0,7,2,3}, {0,7,2,4}, {0,7,2,5}, {0,7,2,6}, {0,7,2,7}, {0,7,3,0}, {0,7,3,1}, {0,7,3,2}, {0,7,3,3}, {0,7,3,4}, {0,7,3,5}, {0,7,3,6}, {0,7,3,7}, {0,7,4,0}, {0,7,4,1}, {0,7,4,2}, {0,7,4,3}, {0,7,4,4}, {0,7,4,5}, {0,7,4,6}, {0,7,4,7}, {0,7,5,0}, {0,7,5,1}, {0,7,5,2}, {0,7,5,3}, {0,7,5,4}, {0,7,5,5}, {0,7,5,6}, {0,7,5,7}, {0,7,6,0}, {0,7,6,1}, {0,7,6,2}, {0,7,6,3}, {0,7,6,4}, {0,7,6,5}, {0,7,6,6}, {0,7,6,7}, {0,7,7,0}, {0,7,7,1}, {0,7,7,2}, {0,7,7,3}, {0,7,7,4}, {0,7,7,5}, {0,7,7,6}, {0,7,7,7}, {1,0,0,0}, {1,0,0,1}, {1,0,0,2}, {1,0,0,3}, {1,0,0,4}, {1,0,0,5}, {1,0,0,6}, {1,0,0,7}, {1,0,1,0}, {1,0,1,1}, {1,0,1,2}, {1,0,1,3}, {1,0,1,4}, {1,0,1,5}, {1,0,1,6}, {1,0,1,7}, {1,0,2,0}, {1,0,2,1}, {1,0,2,2}, {1,0,2,3}, {1,0,2,4}, {1,0,2,5}, {1,0,2,6}, {1,0,2,7}, {1,0,3,0}, {1,0,3,1}, {1,0,3,2}, {1,0,3,3}, {1,0,3,4}, {1,0,3,5}, {1,0,3,6}, {1,0,3,7}, {1,0,4,0}, {1,0,4,1}, {1,0,4,2}, {1,0,4,3}, {1,0,4,4}, {1,0,4,5}, {1,0,4,6}, {1,0,4,7}, {1,0,5,0}, {1,0,5,1}, {1,0,5,2}, {1,0,5,3}, {1,0,5,4}, {1,0,5,5}, {1,0,5,6}, {1,0,5,7}, {1,0,6,0}, {1,0,6,1}, {1,0,6,2}, {1,0,6,3}, {1,0,6,4}, {1,0,6,5}, {1,0,6,6}, {1,0,6,7}, {1,0,7,0}, {1,0,7,1}, {1,0,7,2}, {1,0,7,3}, {1,0,7,4}, {1,0,7,5}, {1,0,7,6}, {1,0,7,7}, {1,1,0,0}, {1,1,0,1}, {1,1,0,2}, {1,1,0,3}, {1,1,0,4}, {1,1,0,5}, {1,1,0,6}, {1,1,0,7}, {1,1,1,0}, {1,1,1,1}, {1,1,1,2}, {1,1,1,3}, {1,1,1,4}, {1,1,1,5}, {1,1,1,6}, {1,1,1,7}, {1,1,2,0}, {1,1,2,1}, {1,1,2,2}, {1,1,2,3}, {1,1,2,4}, {1,1,2,5}, {1,1,2,6}, {1,1,2,7}, {1,1,3,0}, {1,1,3,1}, {1,1,3,2}, {1,1,3,3}, {1,1,3,4}, {1,1,3,5}, {1,1,3,6}, {1,1,3,7}, {1,1,4,0}, {1,1,4,1}, {1,1,4,2}, {1,1,4,3}, {1,1,4,4}, {1,1,4,5}, {1,1,4,6}, {1,1,4,7}, {1,1,5,0}, {1,1,5,1}, {1,1,5,2}, {1,1,5,3}, {1,1,5,4}, {1,1,5,5}, {1,1,5,6}, {1,1,5,7}, {1,1,6,0}, {1,1,6,1}, {1,1,6,2}, {1,1,6,3}, {1,1,6,4}, {1,1,6,5}, {1,1,6,6}, {1,1,6,7}, {1,1,7,0}, {1,1,7,1}, {1,1,7,2}, {1,1,7,3}, {1,1,7,4}, {1,1,7,5}, {1,1,7,6}, {1,1,7,7}, {1,2,0,0}, {1,2,0,1}, {1,2,0,2}, {1,2,0,3}, {1,2,0,4}, {1,2,0,5}, {1,2,0,6}, {1,2,0,7}, {1,2,1,0}, {1,2,1,1}, {1,2,1,2}, {1,2,1,3}, {1,2,1,4}, {1,2,1,5}, {1,2,1,6}, {1,2,1,7}, {1,2,2,0}, {1,2,2,1}, {1,2,2,2}, {1,2,2,3}, {1,2,2,4}, {1,2,2,5}, {1,2,2,6}, {1,2,2,7}, {1,2,3,0}, {1,2,3,1}, {1,2,3,2}, {1,2,3,3}, {1,2,3,4}, {1,2,3,5}, {1,2,3,6}, {1,2,3,7}, {1,2,4,0}, {1,2,4,1}, {1,2,4,2}, {1,2,4,3}, {1,2,4,4}, {1,2,4,5}, {1,2,4,6}, {1,2,4,7}, {1,2,5,0}, {1,2,5,1}, {1,2,5,2}, {1,2,5,3}, {1,2,5,4}, {1,2,5,5}, {1,2,5,6}, {1,2,5,7}, {1,2,6,0}, {1,2,6,1}, {1,2,6,2}, {1,2,6,3}, {1,2,6,4}, {1,2,6,5}, {1,2,6,6}, {1,2,6,7}, {1,2,7,0}, {1,2,7,1}, {1,2,7,2}, {1,2,7,3}, {1,2,7,4}, {1,2,7,5}, {1,2,7,6}, {1,2,7,7}, {1,3,0,0}, {1,3,0,1}, {1,3,0,2}, {1,3,0,3}, {1,3,0,4}, {1,3,0,5}, {1,3,0,6}, {1,3,0,7}, {1,3,1,0}, {1,3,1,1}, {1,3,1,2}, {1,3,1,3}, {1,3,1,4}, {1,3,1,5}, {1,3,1,6}, {1,3,1,7}, {1,3,2,0}, {1,3,2,1}, {1,3,2,2}, {1,3,2,3}, 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