000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111011111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110000111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111100000111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111000101111001111111111000000000000000000000000000000000000000000000000000000000000000000100000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111100000110000011111111111100000000000000000000000000000000000000000000000111111111111000001111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111000000001110010111100001111110000000000000000000000001111111110111111111011111111111111111111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111000000011100111100000011111111000000000000000000000111111111111111111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001110000000000001111100010111111111100000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001110000000000111101011111111111111100000000000000011111111111111111111111111111111101111101111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110000000000000000000000001110000000000011010111110000000111110000000000001111111111111111111111111111111111110111101111111111111111111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111000000000000000000001110000000000011001111011000000111111000000000111111111111111111111111111111111111111111111111001111111101111111111111111110111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111100000000000000000001110000000000000011100000100000111111100000001111111111111111111111111111111111011111111111111000111111100011111111111101110001111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111100000000000000001110000000000000001100001000001111110110000011111111111111010011111110111111111111111111111111110001111110101111111111101100000111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111011111111111111110000000000000001111000000000000000000001100001111110111001111111111111100010011111111111111111111111111111111101011111111111111001111000000000111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000000010111111111000000000000000110000000000000000000011100000001111111111111111111111000000111001111111111111111111111111111111111110111111111001000000000000111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100000001100001111111000000000000000111000000000000000000001100000001111111111111111111011000000001001111111111111111111111111111111111110110101111000000000000000011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011110000000001100000001111100000000000000111000000000000000000000000000011111111111101111111000000000000000111111111111111111111111100111111111110001011000000000000000111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000000111000000000011111110000000000011100000000000000000000000000011111111111101111010000000111110001111111110011111111001111111111101111110000000000001000000000001111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000001111000000000000111111000000000011100000000000000000000000000001111111111111111000000111111111100010101111001101110000111111111001111110000000000011000000000011111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100000011110000000000000011111100000000011100000000000000000000000000001111111111111110000001111111111111100100111001111111101110001111111111111000000000111000000000011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000000011100000010000000000111110000000001100000000000000000000000000111111111111111110000111111111111111100000011110111111111111000111111111111000000000011000000000011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000001111000001011000000000111111100000001110000000000000000000000011111110011111111110000111111011111111111001011111111111111111101111110101011000000000000000000000011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000001111000001110000000000001111110000000110000000000000000000000111111111111111110011001111111000101111111111111111111111110111111111000000000000000000000000000000011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000011110000011110000000000000111111100000111000000000000000000011111111111111111110110001111100000111111111111111111110111110011101111000000000000000000000000000000111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000011100000011100000000000000111111111100111000000000000000000011111110110011111110011011111000000101111111111111001111011101001100011100000000000000000000000011111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000111000000111000000100000000001111111111111100000000000000011111111100011011101110011011111000000001111111111111001110011000101110011110000000000000000000000111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100000111100001110000011100000000001111111111111110000000000000111111111100111011000111111011111001100011111111110110001111111001011111001110000000000000000000000111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110000110000011100000111100000000000111111111111110000000000001111111111000111111100111111101111011110101111111100000001110110010111110001111000000000000000000000111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000000010000011100001111000000000000111111111111111100000000111111111111110111111111111111111111011111111111110000000001111110101111111100111000001000000000000001111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000001111000011110000110000000011111111111111110000001111111110111111111101110111101111111011111111111111000000001011110011111111100011100011100000000000001111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000001111000011100011110000000011111111111111111000011111111100001101111100111111100111111111111011111110000000001111100111111011110011111001110000000000011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000000000001111000111000011110000000001111111111111111110011111101111011110001100011111000111111111101011111100000000011101110111111011111001111011110000000000111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000000000000110001111000011000000000001111111101111111111011111110111111110000111011111000011111111111111111100000100000101111110111011111101111111111000000011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000100001110001111000000100000111111101111111111111111101110111111000101011111000011111111111111111000000100001111111100110101111001111111111111011111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000000000000000001110001100000000111000001111101111011111111111111111001111100010111111000011111111111111110010001100001110111100011111111111111011111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000000111100011100000011111100001111111111011111111101111111100011110000111100100011111111111010011000011100001111011110011011111111110101111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100000000000000111100011100001111111110000111111111111111111101111111100001111000111000100111111010000001011111011110001110001110011011100001110011111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000000000000111000111000001111111111000011111111111111011111111111111001110001111100110011110000100000001110111111001111001110001101100000111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000000000000000000110000011111111110000011111111111111101111111110110001100001111000111001000000111000000011111111101111000111001001110000010011110111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000000000000000000110000111111111111000001111111101111101101111110110001100001111000011000000100111100010011111111111111000111011000110000010111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000000000000001111111011111100001111111000011111000111110000001100001111000011100011100111111110111111111111111100111111101111000110111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111100000000000000000000001111000001111100001111111000011111000111111000011000011111000001110011110001111110111111101101110110111011100111011111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100000000000000000000000010000011111100000111110001111110000111111000011100001111000001111110111100111111110011111110111111100111110011011111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110000000000000000000000000001011111100001111111011111100010111100000011100000111000000111110111111110111110111110000111111110011110111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111000000000000000000000000011100011110000111111111111111111111100000001100000011100000111110111111110011110010111100111111110001111111111111011111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000000000000000001000011110000011111111111111111111110000001100000011100000011100110111110001111000111100111111111001111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100000000000000000000000000000111110000011111101111111111111111000001110000001110000001101000111111001111101001101011011111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000000000000000000000000000111110000001111101111101111111111010000110000000111000001110000111111100111111101111011100111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000000000111100000000000000111111000000111111111110111111111110000111000000111000000110000111111000110011001111111000111011111111110111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100000000001111000000000000001111111000001111111111101111011110111100011100000001110000111000111011100110000111111111110111011111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000000001111000000000000001011111000000111111111111100011111111100001100000001111000011000111001110111000111111111111110001111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000000001100000000000000000000111000000111111111111100001111011110001111000000111100000001111000110011100111001111111111111111101111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000000000000000100000000000111000000111111111111100001111111110000111000000001111000000111000110011000111000111111111111011111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100000000000000011100000000001111100000111110011111100001111111110000001101100000011100000111000111101100011000110011101111011111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000000000000011110000000000111111000011110011111110001110111111000000111100000001000000111000011101110111000011011000011111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000111100001000000111111100111111011111110001111111111110000111100000000000000011000011110110011100110011110011111011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000000000001111100011000000111011001111111011111110001111111110110000111110001100000000011100000100111011100011011110111100011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110000000000110000111000011111111001111111111111111001100111110111000011111001101000000111000000000111101110111011111111011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000000000100000111000111110111001111111110111111010001111101011000110111111101100000011100000000011101110011011111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000000111000111000111001111111110101111000000111111111100110111111111100000011111000000001101111111011111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000000000000110000110000110011111111100101111100000011111111111110110111101110000011011110000011101111011011111111111011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011110000000000000110000010000110011110111110011111111000000011111111111100111111101000011101101011001111111111111111111111011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000000000000000000000000100001110111100111001011100000001111111111100011111101110011001111111100111111111111110011101111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000000000000000000000000011100111101111000111111000000000111111100011111101100010000111111110110111111111100011001111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000000000000000001110111111111100011111100000000111111100011111110110000000111111110110111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100000000000001000000000000110111111111000111001000000000110111000111111100110000000011111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000001011100000000000111110111111000111000100000000110111000111011110110000110011111111110111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110000011111100000000000111100111111001111000000001100110111100110001110111000111011011111111111111111110110110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111101111110000000000000111100111111101010000000001100111111101111000110011000011001101111111111111111100101110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110000000001010000011100111101111000100000101100111110111111100111111110011111100111111111111101101101111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110000101001110000111100111100111000100001011110111100111111001111111110011101100111000011111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111011111111111000011100111100011001110000111101011110110111100111111111101111110011100011111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111110000111000111100011100111000111101011001100111100111111111101111100111010111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111110001111100011100011100011000111111011100010011101111001110011111110111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111110000011100111100011000111000011111111000000111111111001110001111111111111111111101110011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110000001100111100111000111100001111111100000111111111000110001111111111111111111111110111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110111000001110110110111011111110001111111000000111111111001110001111111111111101111111101110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111100111101001111101011111011111110000111111110001111001111000111001111111111111111101110011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111100011111100111110011111100111111000011110001011111001111001111111111101111011111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111110111111000111100011111100011111010011110011111111001111001111111111011010111111111101110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110011101111000000111100011111100011111110011111001111111101111101111111110111101110111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111110011111111100000011100111111110111111111011111011111111111111111111111111111111101111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111100111111011110100011100011111110110001110111111111111111111111001111111111111111110111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001110111110011110001111110011110111111111111001110011011111111111111110011111011111111111111101111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111011101011110001111110001110100011111110001110111011111010011111111011111011111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111011110011110111111000000111100001011110001110110001111000000111111111111001110111101111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001110111110001111111111000000011110000011110001111110011111000000111011111111100111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110011111101111000000001110000001111011111110011111000000111011111110111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110011111000011100000001111000001111111001111011110010000111111111110111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111101111111110000011100000011111000011111110001111011001110000011111011111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111101111000011111011111111100011111110001111111100110000001111011111111111111111011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111100111000111111111111111110011111110001111100000111000000111111111111111111110111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111110011000111111111111111000101111111111110001111000100110000000111111111111111111000111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110011110111111101111110000010011111101110011111001000111100000111111110111111111001111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110001111111110000011111000011011111101111011111001100111100000111111111011110011111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110001111111111000011111100011011111111110111111101001111110000111110011111111101111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111110011111011011111011101110011111111111111110111011001111100001111111000111101111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110110001110000011110110000100011111111111111100111111111111100111111110100111111111110111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110011011100000000111110000000011011110001111101111111111011110111101101010111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111100011111110000000011110000000110011110000111111111111101011101111110110011111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111100011111111001000001110000000110001110000001111111111101111111111100110011111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111000011111111001110000111000000110001110011001111111110011111111111100010011110011111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111011000001111111011111000011000001111001111011011111111000010001111111110111011110011011111100111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111001111000001111111111111000000100000111011111110011111111000001011110011111011111000011111111000111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111010011010000111111111110000000111000111111111110011111111000000111111011111111111000011011111010111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110000111110000111000111111000000011111111101111110111111111000001101111111111111111100001111011111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111000111100000111000111110000000111111111001111111111111100000000011111110110111111110111011111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111101110001111100000110001111111000000011111111001111111111110000000000011111100100111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111100000111001111111000000001111011111101111101110000000000111111101110111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111011111100001100000111011111111100000001111101111101111011110000000011111111000110111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111011111000001110011111111101101111000001111111111101111111110000001111111111110110110111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111110000001111111111111101100111000001110111111111111111110000111111000011111110111001111111110111011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111110000011111111111111101100111000011111010111111111111000000111100000000111110110011111111111111011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111011111110000111111101111111111100111110111110000111111111110000001111000000000001111100001111111101111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111011110001111100000011100011111111111111111000111101111110000001111000000000011111101011101110111101111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111001111101110111111100000011100011111111111111111000111111111110000011110000000000001111110111101110111001111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111001110001111111000100000011100011111101111111111000011111111111000011110000000000000011111111101101111101111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111001110001111110001110000011100011111101111111111111111111111110000001100000100010100011111110100111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110011110001111000000110011111101011111111111110111111111111111000000011100000111111100011111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111101011111011111100001111011111111111111111111111111111111111110000000011100000111111100001111110111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100111110111110111011000000111111101111111111111000111111111111111111000000011000000111111110000111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111000111111111111110011100001111110000111110111111000111111111111111101000001110000011111101111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111000111111111111100001100011111100000111111111110001111111111111111110000001111000011111000001111110111110111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111000111111110111100001100111111000001111111111111001111110111111111010000001100000001111000000111100111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000111111100011000011111100011000000111111101111111111111111111110101000000000000000011110000111110111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000111000011111100011010001111101101111111000111111100110111000000000000000001111111111111101111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000011100011111000111111011111001111111110111111111111101111100000010000000000011111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111000011100111111000111111111111100111011100111111011111111111110000011000010000001111100111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110000011111110011000111111110000000111101110111111011111111111111100001000111100010111111111111111101111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111000011111100011111111111111000011111011110111111111111111011111110000011111111011111111111110111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111110111111000011111100111111100011111111110111111111011100000001000000011101111111111111001111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111100111111000111110000111111100011001111111111111110111110000000000000001101011110110111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110111101111110000111100000011111111011101111111111111111111110001101000000000001000001000011111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110011101111110001111100000001111111111000111111111101111111110001111110100000011110001111011111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111011011111111111001011100001011111111111001110011111011111111110001111111111110101111111111111111011111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111010011111011111011001100011111111111111111111011111111111111110000111111111111011111111111101111011111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111000011110010111110001110001111111110111111111011011110011111111000100001111110001111101111100111111111011111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110110111110000011110000110101111111111111111111111111111011111111100000000011110000011111110010111110011111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110111110100011110000111111101110011111111111111110111011111111111000000001101000011111111111111111011111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111001111111111110001110001111111100001001111111111111111111111111111111111000000111000011111111111111110111111011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111001111101111100001110010111111000001001111111111111111111111101010111111110000011100001010111111111111111111011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111100111000011111001100111100001101111111111111111111111110001011111100000000111000000000111101111111111011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110000111000001111111000111000011111101111111111111111111111000000111000010101011100000000011110111111011111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110000011000000011111100011100011111000111111110111110001110110000111101011111011110000000011110111111011111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110000011100000001111000011100001111101111111110111110101111111111011111111111101110001101001111110111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111001100000001110000001111110001110001111111111111111111001111111111111100101111001011111101111011111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111101110000001110000000111110001111000111101111111111111111111111111111100100000000000111111111011111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111001100100000111000000111000001111100111100111111111111111111111010111110000000000000111111111001111111111110110111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111011101110000011100000111000000111110111100111111111111111001110111000111110101110000011111100000111111111111010111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111101000111000011100000011110000011100111000111111111111111111111111110011111111111100001111111000011111111111110111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100111100011100001101000001110000001100011100011111111111111011111111110000111111110000000111111100111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111000011010001111000001111000001110011110011111111111110111111111111111001111111010000011011111011111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111001111000111100000111000000011100000110001111011111111111011111111111011111011111111100000011101111111100111111111111111111011111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111101111100001111000011100001111101000001001111111111111111011111111111111111100011111111010011111111111111111111111111111111001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111100011110000111111001111111101011101111011111111111111111111010111111110000111111111111111111111111111111111111100111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111101111111110001111000011110001111111111111111111101111111111111111111110001111110000011111111111111111111011101111111111110011100111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111110001101100110000111100000000111110111111111101111111111111010100101010011111100010001111110011111110111011111111111110001110111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111100001111110000000011001000000011100001111111111111111111111111011011100101111100000000111101011101111111111110011111100000111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111100001111101000000110010001100001110000111111111111111111111111111111111111111110000000001111011100011111111111011111110010111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111101111100001111111000000110001001100000110001011111111111101111111111111111111111111110000000000011111000100111111111001111100110111101111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111110111011111100001111111100000110000011000000101010111111111111111111011111111111111111011110000100000001111100010111111101111111100011111100111111111111000000000000000000000000000000000000111110000000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111011110111111111110111110010110000111000011000000001111111111111111111111110111111110111100000110000111001100011110100011111111111111110011111100011101111111000000000000000000000000000000001111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111110111111111111111110111110000110000111000101011111111111111111111111111001111111011110000111000111000111001110011111111111111111100001111111001101111111111000000000000000000000000011111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111110001111111100111110011101110000111000111011111111100001101111111100111111101110111101110000011000011100110001111111111111111111111101011111111001111111111111111111111100000000000000111111111111011111101001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111101001101111010111100111001100000110010110010101100000000111111111111111111111111111111111101011100011110111011111111111101111111111111111110111101111111111111111111111111111111111111111111101000000000100001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111100111100001101111101111100011011100000110001100101000000000001111111111111111101111111100111111111011110001110111111111111111101111111111111111111011111111111111111111111111111111111111111110100010000000010101011111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111101000111110011101111111111110011111110001110011110000000000100011111001111111111110111001111011111111101111011111111111111111111111111100111101111111111111111111111111111111111111111111111111100000000000000001011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110001111101011001111111101110111111100000110101100000000010111111111111111110111110111011011001111111000111111111111111111111111111111001111111111111111111111111111111111111111111111111111110000000000000000101111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000101111110110111111111100111111111110000110011000000000111111111111111111111111111111110111110111111111011110111111111011111111111111111111111111111111111111111111111111101111110001111111000000001000000011111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000011110111111111111111000111111111111001110111000001011111100000111001111111111111111111111111111111111111110000111101111111011111111111111111111111111111111111111111100110001000111111000000000010000000111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111010011110111111101111111001111111111111001100110101011111110000000111101111111111111111111111111111110111111110000011111111111111111111111111111111111111111111111111111100000000000010000000000000000000001111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111100111100111111101111110001111110011111101111111011111111000000000111111111111111111111111110111111111101111111000011111111111111111001111111111111111111111111111111111000001000000000000000000010000000011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111001111110011111110001111111011111111111111111111100000000001111111111111101111111111101011101111010000111100011111111111111101101111111111111111111111111111111111000011110010000000000000011100000001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111101111001111110011111110011111111111111111111111111111000000011111011111111111110111111111111111100011000000111110001111111111111111111111111111111111111111111111111100001111111111100000000000111110000000111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111110011111111010011100001110011111111111111111111111011011111110000000000111111111111110111111110010010101011111001111101111111111111111111111111111111111111111111111001111101111100000000000001110000000011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111011111111110101111111100011100001100011111111111111111111111111111110000000000000011111111110111111111101011111111111111111111111111111111111111111111111111111111111111111111111111111111110000000000001111100000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111011111110011100001001111111111111111111111111111111101100000000000001111111101111111111111111111111111111111101111111101111111111111111111111111111111111111111111111111111111110000000000011100000000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111011111110011111100011100011001111011111111111111111111111111111111000000000000111111111111111111111111000111111101111111111111001111111111111111111111111111111111111111111111111111111111000000000011100000000111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111110111110011110111111111100011110001001110111111011111111111111111111111111001100000000011111111111101011111000000111111101111111111110111110011111111111111111111111111111111111111011111111111111100000000000100000000011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110101110011110110111111000111100001111111111111111111111111111111111111111001100000000000111111110000000000000010111101111111111111111111111011111111111111111111111111111111111111001111000111111110000000000000000000011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110100110011100111111111100111110011111111110111111111111111111111111111111111110000000000000101000000000000001011111000111111111111111111111111111111111111111111111111111111111111000011000001111111000000000000000000001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111100110111101111011101111111111111111111111111111111111111111111111111111111110011000000000000000000000000001111110010111111110111111111111111111111111111111111111111110111111111000000000000001111110000000000000000001111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111101111001111111001110011101111011111110001111111001111111111111111111111111111111101111100000000000000000000001111111111010111011100111011111111111111111111111111111111111100001111100000000000000000011111000000000000000011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111011111001111111101110011101111001111111011111111001111111111111111111111111111111111111000000000000000000000111111111100011111011111110111111111111111111111111111111111111000000000000000000000000000001111110000000000001111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111001111011101110011101111010011100001111000011111111111111111111111111111111111111100000000000000000011111111110001111101101111111111111111111111111111111111000111110000000000000000000000000000000111110000000011111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111100111110011110011011110111111111110111100000111000011111111111111111111111111111011111111100000000000000000111111111101001101111001111111111111110111111111111000100000001100000000000000000000000000000000001111100000011111111100111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011110111101111110011110011111111111111111111011110000111111011111111111111111111111111111111111111110000000000000001111111111111011111011000111111111111111111111111100000000000000000000000000000000000000000000000000111110000001111111111011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100111011111100111100111111111111111111110110100001111111111111111111111111111111111111111111111110000000000000000111111111111111110111001111111111110111111111111100000000000000000000000000000000000000000000000000011111000000111100111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000111111111100111000111100110111111111110110110001111111111111111111111111111111001111111111111111000000000000000011111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000001111000000011100000111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111011101111001111100111111111011101110110001011011111110111011111111111111111111111111011111000000000000000001111110001111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000111110000001110000001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100111111111101111100111111110101110111110000011101111110011101111111111110111111111111001111100000000000000000111110000111111111111111011111111111111111000000000000000000000000000000000000000000000000000000000001111000000111100000111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100011110011010111001111111111001110111111110001011111111011111111111111111111111110111101111110000000000000000011111000011111101111111011111111111111111000000000000000000000000000000000000000000000000000000000000111100000011101000111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100011110011110111100011111111001110111111110011111111111101111111111111111111110111111011111110000000000000000011111101011111101011111111111111111111111000000000000000000000000000000000000000000000000000000000000111110000001111010101111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000001100011111111100011111111001111111111111111111111111101111101111111111111111111111111111110000000000000000001111111111111110011111111111111111111111000000000000000000000000000000000000000000000000000000000000001111111001111111110111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111001011110111111111100000111110001111110000011111110110111111111100111111111111111111111110111111000000000000000001111111110111111111101111111111111111111000000000000000000000000000000000000000000000000000000000000000111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111011011111111111111000000110111011111110000001111100111111111111111111111111111111111111111111111000000000000000000111111111111111011011111111111111111110000000000000000000000000000000000000000000000000000000000000000011111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111011111111111111110011100001100110111111110000001111111111111111111111111111111111111111111111011111000000000000000000011111101111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000111111111100011111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111011111111111111110011100011110111111011111110111111111111111111011111111111011111111111111111101111100000000000000000011111110111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110111111111100011110111101111100011111111110111111111111111011111111100011111111111111111011111100000000000000000000011101011111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111101011111111000011110111111110000011111111100011011111011111111111111110011111111111111111111111110000000000000000000001111011111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111110111110101110111111101111111000011111111100011101111011101111110111111001111111011111111111111111000000000000000000000011110111111110111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011101111111111011110101111111111001111110000011111111100011001111011111111110011111111111111111111101111111111000000000000000000000001111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111011111111110000111111100111110111110001100111111111111110011111110111111111101100111111111100000000000000000000000011111110111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110110111111111111110000011111111111100001111001100111111111111110011111110011111011111111111110011110000000000000000000000001111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111011111100111110000111111111111000001111101101111111111111111111111111011111111111111111111111111000000000000000000000000111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110110011111100111111000011111111111000001111101101111111111110111111111111111111111111111110011011111000000000010000011100000001111111110111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111100110011111000111110001111111111011000001101111111111111110100111110011111111111111111111101001110111000000000111000001110000000110111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110111100110111111000111111011111111111110000001101111111111111110110111110011111100111010111010111010010011100000000111100001111110000111011111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100111100100011111001111110111111100011111000001111111110111010110110111110010011110110111111101001110000011110000110011111000011111010011101101111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111100011101111111111111111111111111000001111000001111111100010011111011111111110111111111111111111100000000001111000111001111100001111111011110111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111100011111111111111110111111111111100001111100001111111100111001111111111111111111111111111110111111010110000111110111010111110111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111000011111111111111100111101011111110001111111001111111110110011111111111111111111111111110111111111111110000111111111101111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111100011111101111111111111101111111110011111111001110111110111011111111111111111011111111111111111111111100000001111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111010111111010011111111111111111111110101101111110000111111111111111110011111111001111111111111111111110000000010111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111000101111111111111111111111111000111100000110111111111111000111111111111100011000111110111111011110000001111111100111111011111001111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111110000011011111111111011111111111001111111000111111111111111001111111111111100011100011110101111111110000010111110100111111101111011111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111110001011001111110111111111111111100111110100111111111111111111111011111111110001010011111110000101111000000011111111111111101111101111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011101111101111110110111101111100111111111001111111110111111111111111110111111010011111111111101110001111111110001111000000000010111111110111011011111011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111011111100111111111001111111101111111111111111110111111100111111111110111110000111101111111101110000000000100111110110011100111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111110111111111111111111111111110001111111001111111111011110111111111101111100111100111111100011101011111011111100000000001011101011101111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111100111111111101111101111111111000000111111111111110101111111111110000111000111100001111000001110000111011111100000011110011111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111110111110111010111111101110111100001111111111111111011111111111100101111001111000000111110001111000011010111100000011110011111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111001111100111001111001111110011001111100101111111111110111111111101111110101111100111101000001111010111100000001011100000111110100111111111110111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111001111001110000111111111100111100111110111111110001111011111111110011100001110001111111110000111111111100000000011100000111111000011100111110111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010011011111101111001111111111001011001011111111111100100111011111111100111010000110000111111111110111101111111000000011100000011111100001111011111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110011111111111000111000001111111111110000111111111111000000000000000000111111111111111110001111100001111010000000111110000111101111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111100011111000111110011011001111100111101101111111111100010100000000000000100010101111111111100011110001110000011000111000000111101111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111011111110011111000111101111110001111110111111001111101011000001000000000000000000000000011111110100001111000100000011000111110001111110111001111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110111101000111111001111111111110011111111111111111111110011000000100011000000000000000000011111111101000111100000000000000011110101111111111110111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110111101100101111001111111111110001111110011111111111001000000000000111000011000000000000001111110111100011110000000000000000111111111111111110111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111101110101111111111110111111111111110111111111111000100000010100111000011000000000000011111111101110001111000000010100001011110111101111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110011111111101101111111111000111111110111111111111111111001100000010000111100111100000000000001111111101110000111100000011111010011110001111011111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111101111111111111100011110111111111111111111110010011010000111000111000111000000000000011111111110100000011110000111111111101111100110111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111011111111101111000011110011111101111111111110001001011000111000111000010000000000100011111111111100000010110100011111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100111111011111111111001110010011111011111111111111111100000000111000111000011000000000000001110001111111111110000000111100001110000101111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000110000111111111111111111001110001111110111111011110111110000001100111000111000000000000000000001111011111111111110001010011110010100000000011111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111010011100111111001111111111110111100000011000111000111000000000000000000001111111101111111111100101001110000000000000001111011111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111011010100111111001111011111110111100000011100111100111000000000000000001100111111110111111111100011001011000000000000001111111111111111011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111110011111111111111011111001111111111101110111000111000010000000000000000011100110111110011111111110001110011100000010000000111111111111111011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111001110111011111111111111111111001110111111111111011100011000000000000000000000001111110111110111111111111000110011110001110100001011111111111101101110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110111111111101111111111111000100111000111011111000011000000000000000000110001111111011111111100111111100010011110001111111110111111111111011011111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111101111111111101111111111111110100111001111101111100010000000000000000001111001111111111111111101111111110000001110001111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111100111000111001111000000000000000000000001111110110111111111111111111111110000000111111011111100111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110011111111111111111111101111101111001110001111000000000000000000000000111111101011111111111111111101111000000011110000011000011111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111110111111111110011111111111111001110001110000000000000000000001000000111110011111111111111111111111100000001100000011101011111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110111111111111111111111111000111111111111101110001111000000000000000000001110101011110011000011111111111110011100000000000000001111101011110111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111101111111111111101111110011110011111111101111110001110000000000000000000001111110001111011100001111111111110001110001010000101001111110011100111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111000000000000000000000000000000000000000000000000000111111111111111111111111110001110111111111001111110001110000000000000000001001111111001111101110001111111111110000110001111101111111111110011111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111100000000000000000000000000000000000000000000001111111111111111111111111100000111011111111000111110001110000000000000000001111111111100111101110001111111111111000110011111111111111111111011111111111111110110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111000000000000000000000000000000000000000000001111111101111111111111101101010111011111110001111100111110000000000000000001111110011000001110110100111111111111000011001110000110111111111011111111111111110111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000000001111111001111111111111101101110111000111110001011100011110000000000000000000111110011110010100111100111111111111100001001111100111111101110011111111111111110011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111110111111111000000000000000000000000000000000000000001111111011011111111111011111111111000111111001101100111110000000000000000000011110001100000000111111011111110111100011100011111111111000111001111111111111110011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111000111111111110000000000000000000000000000000000000000111111001011111111111001111111111101111110011111100011110000000000000001000011111001110000000011110011111111011110011000000011111110000011111111111111110110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111110000000000000000000000000011111111111100000000000000000000000000000000000000111111011011111111110011111111111111110111001111100011100000000000000001100001111001111000000011110111111111110111010100000000111110010011111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111110000000000000000000000000000000000000111111110000000000000000000000000000000000000111110110011111110111111111110011111110110011111110011000000000000000011110001111100001000000001111111111111100110100000000000111111110011111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111110000010000000000000000000000000000000000000000000000001111111000000000000000000000000000000000000111111110011111110111111111010011111001111011111110011000000000000000001111000011100000000000000111111111101100011101000000001111111111011111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011110000000000000000000000000000000000000000000000000000000000111111100000000000000000000000000000000000011111111011111110111111110010111110000111110100110010000000000000000000110000001110000110111001111111111111110001111100010011111111111111111011110111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000001111110000000000000000000000000000000000111111110111111110111101110111111110011111110000111110000000000011100000011100000110000110011100111111111111110000111000111111001111001111111011110111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000000000000000000000000000000000111111110011111111111111111111111110111111110000011110000000000001111000011010000111100010011110111111111111111010111100111111011111011111111011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000000000000000000000000111111111111111111111111111111111110111111110000011110000000000011111000011110110111110011001110011111111111111110110000111110000011011111011111111010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000000000000000000000000111111111111111111111111111111100111111111110000011110000000000011111110001111111011111001001111011111111111111111110000011111000011111110111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111000000000000000000000000000000000011111111111011111111011111111000111110011110001011110000111000001111110011111111011111001101110011111111111111111111000001110000011111111011111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111000000000000000000000000000000000011111111110101111111000111111001111100011111011011110000111110011101111000110111100001100101111001111111011101111111001011111011111111110111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111000000000000000000000000000000000011111111111011111110000111110011111110011111001011100000111111101111111010111011100001101110111011111111101111111111111111111011111110111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111000000000000000000000000000000000001101111111111111110000111111011111100011111101011100000111011111101111110110001110001100110111111111111011110111011111111111111111100111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110000000000000000000000000000000000001100111111111101110010011111111111100011011110011000000011001111110110111111000110000110111111111111101101111111111111110011111111100111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111100000000000000000000000000000000000000000011111111111100111110111110011100111001111111000100011000111111100011111000011100110111111111111101101111111111111110001111001111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111100000000000000000000000000000000000000000011111111111101111111011110011100111001111111011110001000011111110011111100011110011111111111111111101111111111101100001111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111000000000000000000000000000000000000000000011111111111101111110011101011100111100111110001110011100011011110001111100011110111111111111111110111111111111000110011111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110000000000000000000000000000000000000000000011111111111111011110111100111111111000111110001110001100011001110001111100001110011111111111111111011111110111001101111111111111011111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111000000000000000000000000000000000000000000000001111111111111001101111110111111101000111110001110001100011001111000100100000111011111101111111111011111110000110111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110000000000000000000000000000000000000000000000001111111111111011111111110110111100000111110000110011110001100110000110000000111111111101111111111111111111101111111111111110111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111000000000000000000000000000000000000000000000000000111111111011101111111101100111110000111111000100001111001000111000110001000111111011111111111111111111111111111111111011110111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111100000000000000000000000000000000000000000000000000000111111110111011111111111110111110001111111001110001111011000111100110001100011111101111111111111111111111111111101111101110011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111000000000000000000000000000000000000000000000000000000111111111111011111111111100110110001111011110110001111111100111100011001110011111111111111111111111111111111011111101011111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111100000000000000000000000000000000000000000000000000000000111111111111111111111111100110111011111101111110000110011100111100011000110011111111111111111111111111111111011111111101111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000000000000000000000000000111111111111011111101111101110111011111101111110000110011110111000011100111001111111111111111111111111011111011111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111110000000000000000000000000000000000000000000000000000000000011111111111101111011111001110111111111110111111100110001101111100001100111101111111111111111111111111111111011111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000000000000000000000000000000011111111111101111101111111111111111111010011111100111001111110000101100011101111111111111111111101111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111110000000000000000000000000000000000000000000000000000000000000001111111111101111111111111111111011111001101111101011011111110001101100001100111111111111111111001111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111110011111101101111110011001111100001110111011110001111111111111111101111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111100000000000000000000000000000000000000000000000000000000000000000000111111111111111111101111101110001111001101111111111101111100001110111101110111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110000000000000000000000000000000000000000000000000000000000000000000000111110111111111111001111101110000111110010111111111101111110000111111111110111111111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111100000000000000000000000000000000000000000000000000000000000000000000000011111111111111111100111100111001111110100110011111101011100000011011110111111111111111111111111111111111100111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111100111110010000111111111110001111101101110000011011110111111111111111111111111111111111101111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110000000000000000000000000000000000000000000000000000000000000000000000000000111111111011111101111000111001111111111110001111111001111100011011101111111111111111111111111111111111111111110111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111100111100011001100111111111001111101001111110011101110111111111111101111111111111111111111111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111110111011111101110011111110000111111100111110011011110111111111111111111110111111111111111111110111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111110111111111111100011011111100111111100010111001101110111111111111111111110111111111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111110000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111011101111000011111100000111000101111111111111111111111110111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111100000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111110001001111110001111100000011101101111111111111111111111111111111111111111111111111111111111111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111100000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111000001111111000010111101000111111000111111101111111111100111111111111111111111111111111111111111111111111111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111110000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111100101111111100101111111101111111000111111111111111111111111111111111111111111111111111111111111111111111011110101111111011111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111110000000000000000000000000000000000000000000000000011111111111111111111111011111111111111111111111111110111111111110111111111111111111001111111111111111111111111111111111111111111111111111111111111111111111011100000000000000000001111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111000000000000000000000000000000000000000000001111111111111111111111111111101111111111111111111111111111111111111110111101111111100111001111111111111111111111111111111111111111111111111111111111111111111111111000000100100000000000101111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111100000000000000000000000000000000000000000111111111111111110111111111111111111111111111111111111111111111111101111111111111111000111101110111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111110000000000000000000000000000000000111111111111111111111110001111100111111111111111111111111111111111111111111111111110111111000111111110111111111111111111111111111111111111111111111111111111111111111111110000000000000000000000000001111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111000000000000000000000000000111111111111111111110111110010111111111111111111111111111111111111111111111111111111111111111010011111111111111111111111111111111111111111111111111111111111111111111111111100000000000000000000000000000011111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111110000000011111111111111111111111111111111111011111101111111111111111111111111111111111111111111111111111111101100111110011011111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000001111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111011111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111111111111111101111111111111110111111011011111111111111111111111111111111111111111111111111111111111111111111111111010000000000000000011000000000111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111101111111111111111111111111111111111111111111010011111011111111111111111111111111111111111111111111111111111111111111111111111111111111111011111111111111111111111111111111111111111111111111111111111111111111111111111110000000000000111100000000011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111100010000000000000000111111111111110000000000011111000000001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110000000000000000000000000000011111111111111010010011111100000000111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110000110001111111111111100000111101111111111111111111111100000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000111111111111111111111111100000000011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111110111111000000111101011101011011111111111111111111111000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000001111111111111111111111111100000001111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111110101011110011111111111111111111111111100000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111110000000000001111111000000000000000000000000000000000000000000001111111111111111111111111111101111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000001110111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000001111100000000001111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111110000000000000000000000000000000000000000000000000000000000000000011111100110111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111000000000000000000000000000000000000000000000000000000000000000000000001111100011111111111111111001111111111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111011111100111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111110000111000100001111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111000011000000000111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000000000000000001111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000000000000000011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111100000000000000000011111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100000000000000000000111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000000000000000000111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000000000000000000011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000000000000000000011111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111100000000000000000001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000000000000000001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111110000000000000000001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000100000000001111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111000011100000000001111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110011110000010001111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100111110000111011111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111011111000110001111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111110000111000111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110000011000111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111110000111100111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111100000011100111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110000011110011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110000111101111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111000111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111110111111111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111001110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000