case 11 failed: tile 504 overlaps input: 1000010011100100010001101011110110011110100010010110010011010000000000011111011101001001101101110110001101101001111000010110010010100101011100000001010011011001110000001001000101001001000010100110001100111101010011101011000011010001110000111000010011000111000000001011000100110111000011010010111111000010101100111101011111001011010110000110101011010100101100111101000001101010101100011011010000100000100111111011011001110110101101110111100100100010000000111000000001011110100011110100101011001010010000011001111110001111011111101001000100100011001001111110011111001010101010111100001001001110011111010101010000010010110100011111110101100100100000100010001111010000010000010110010000101010100011010111001111101101110000011011011011101001101100110111011100110100101011011110101010000100010101000001011011010000 output: 1 1 3 1 1 3 3 3 1 3 2 1 1 1 3 1 3 1 3 3 3 1 1 1 3 3 1 3 1 3 3 3 1 3 3 3 3 1 3 3 1 3 1 1 3 1 1 1 3 3 3 1 3 1 3 3 3 1 3 3 1 1 3 1 3 3 3 1 1 1 3 1 3 3 3 1 3 3 3 1 3 1 1 1 3 3 1 3 3 3 3 1 1 1 3 1 3 3 1 3 2 3 1 1 1 3 3 3 3 1 1 1 3 1 3 3 3 1 1 1 3 1 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 2 1 3 1 3 3 3 1 3 3 1 1 3 1 3 3 3 1 3 3 1 3 1 3 3 3 2 3 1 1 1 3 3 3 3 1 3 3 3 3 1 3 3 1 1 1 1 1 1 3 1 1 1 3 3 1 3 3 1 2 1 3 2 3 3 3 1 1 1 3 3 1 3 3 2 2 1 3 3 3 1 2 2 3 3 3 1 1 3 1 1 3 3 3 1 3 2 1 1 1 3 1 3 3 3 1 1 1 3 1 3 3 1 3 3 3 3 1 3 1 1 1 3 3 1 3 1 3 3 3 3 1 1 1 3 1 3 3 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 3 3 1 3 1 3 3 3 2 3 3 3 1 1 1 3 3 1 3 3 1 2 2 3 1 1 1 3 1 1 1 3 1 3 3 3 1 3 3 3 3 3 3 1 1 1 1 3 3 1 1 1 3 1 1 1 1 1 1 3 3 1 1 1 3 1 3 3 1 2 2 3 1 1 1 3 1 3 3 3 3 3 3 1 1 1 3 1 1 3 2 1 3 1 1 1 3 3 1 3 3 3 3 1 3 3 1 3 3 3 3 1 3 3 3 1 3 3 1 3 1 3 3 3 3 1 3 3 1 1 1 3 3 1 1 1 2 3 1 1 3 3 1 3 3 1 1 1 3 1 1 1 3 1 3 3 3 1 1 1 1 1 3 1 1 1 1 3 3 1 3 3 3 1 1 1 3 1 1 1 3 1 3 3 3 1 3 3 1 2 1 3 1 3 3 3 3 1 3 3 1 1 1 3 1 1 3 1 1 3 1 1 3 1 3 3 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 3 1 1 1 3 3 3 1 3 3 1 3 3 3 1 3 1 3 3 3 2 3 3 3 1 1 1 3 3 1 3 3 3 1 1 1 3 1 1 1 3 1 3 3 3 1 1 1 1 1 3 1 1 1 3 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 3 3 1 3 3 3 1 3 1 1 1 1 3 1 1 3 1 1 1 3 3 3 1 3 1 1 1 3 1 1 1 3 2 1 1 1 3 1 3 3 3 1 3 3 3 1 3 3 1 3 3 3 3 1 3 1 3 3 1 1 3 1 3 3 1 3 2 3 1 1 1 3 3 3 1 3 3 3 3 1 3 3 3 3 3 1 1 1 3 1 1 3 1 1 1 3 2 1 1 1 3 1 3 3 1 3 3 3 3 1 3 1 3 3 1 1 3 1 3 1 3 3 3 1 3 3 1 1 3 1 3 3 1 3 3 3 1 3 3 3 1 3 2 3 1 1 3 3 3 1 1 1 3 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 1 3 3 1 3 3 2 2 1 2 1 3 3 3 3 1 3 3 1 3 3 3 1 1 1 1 3 1 1 1 3 1 1 1 1 3 3 1 1 3 1 1 3 1 3 3 3 1 3 3 3 1 1 1 3 3 3 1 3 3 1 3 2 3 1 1 1 3 3 3 3 1 3 3 3 1 1 1 3 1 3 3 1 3 1 1 3 3 1 3 3 1 1 1 1 1 1 3 1 1 1 3 3 1 3 3 3 1 3 3 1 2 2 3 1 1 1 3 3 3 3 1 1 1 3 1 1 1 3 1 1 3 3 3 1 3 3 3 1 3 3 3 1 3 1 1 1 3 1 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 1 3 3 1 1 1 1 1 1 3 1 1 3 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 1 3 1 1 1 3 3 1 1 1 3 1 3 3 2 2 1 3 3 3 3 1 3 3 1 3 3 3 3 1 1 1 1 1 3 1 1 1 3 1 3 3 1 4 3 2 1 2 1 1 1 1 3 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1 2 3 2 1 2 1 1 1 3 1 1 1 3 2 1 3 1 3 3 3 1 3 3 3 1 1 1 3 3 3 1 1 1 3 1 3 3 1 4 1 3 2 2 1 1 1 3 3 3 3 1 1 1 3 1 1 1 3 1 3 3 1 3 3 3 3 1 3 3 1 3 1 1 1 3 1 1 1 3 1 1 1 3 3 3 1 3 1 1 1 3 1 1 1 3 1 1 1 1 1 3 3 1 1 1 1 1 1 3 3 1 1 1 1 1 1 3 3 1 1 1 1 1 1 3 1 1 3 1 1 3 3 3 1 3 2 1 1 1 3 1 3 1 1 1 3 3 1 3 2 3 3 3 1 1 3 1 1 1 1 3 1 1 1 3 1 1 3 1 1 3 1 1 1 1 3 1 1 3 1 1 1 1 3 1 1 3 3 3 1 3 3 3 1 3 1 1 1 1 1 3 3 1 1 1 1 1 3 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 1 3 1 1 1 3 1 1 3 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 3 1 1 3 2 1 1 1 3 1 1 1 3 1 1 1 3 1 3 3 1 3 3 3 1 3 1 3 3 3 1 3 3 3 1 1 3 1 3 3 3 1 3 1 1 1 3 3 1 3 3 3 1 3 3 3 3 1 1 1 3 1 1 1 3 1 3 1 1 1 3 3 3 1 3 3 1 3 3 3 3 1 1 1 3 1 1 1 3 1 3 3 1 3 1 3 3 3 3 1 1 1 1 1 3 1 1 1 3 1 3 3 3 1 3 1 1 1 3 3 3 1 3 3 3 1 1 1 3 1 3 3 3 1 3 3 3 1 3 3 1 3 2 3 1 1 3 3 1 3 3 1 3 3 1 2 1 3 1 3 3 3 2 3 3 3 1 1 1 3 3 1 3 3 2 2 1 2 1 3 3 3 1 1 3 1 3 3 1 3 1 3 3 3 2 3 3 3 1 1 1 3 3 1 3 3 1 2 2 3 1 1 1 3 1 3 3 3 1 1 3 1 1 3 1 1 1 3 1 1 1 1 1 3 3 1 3 3 2 2 1 3 3 3 1 2 1 3 3 3 3 1 1 1 3 1 1 1 3 3 3 1 3 3 3 1 3 3 1 3 1 3 3 3 3 1 1 1 1 1 3 1 1 1 3 1 3 1 1 1 3 3 1 3 3 3 3 1 3 1 1 1 3 3 3 1 1 1 3 1 1 1 3 1 3 1 1 1 3 3 3 1 3 3 1 3 2 3 1 1 3 3 3 1 1 1 3 1 1 1