0111111111000100000000000000000010110001100101001010000000000000011110010000000000000011000010000000001100101000000000000000000000000000000000000000100100000011000001111000010000000000000000000000000000000000011001000000000010010111000111111111000100000000000000000010110001100101001010000000000000011110010000000000000011000010000000001100101000000000000000000000000000000000000000100100000011000001111000010000000000000000000000000000000000011001000000000010010111000111111111000100000000000000000010110001100101001010000000000000011110010000000000000011000010000000001100101000000000000000000000000000000000000000100100000011000001111000010000000000000000000000000000000000011001000000000010010111000111111111000100000000000000000010110001100101001010000000000000011110010000000000000011000010000000001100101000000000000000000000000000000000000000100100000011000001111000010000000000000000000000000000000000011001000000000010010111000111111111000100000000000000000010110001100101001010000000000000011110010000000000000011000010000000001100101000000000000000000000000000000000000000100100000011000001111000010000000000000000000000000000000000011001000000000010010111000111111111000100000000000000000010110001100101001010000000000000011110010000000000000011000010000000001100101000000000000000000000000000000000000000100100000011000001111000010000000000000000000000000000000000011001000000000010010111000111111111000100000000000000000010110001100101001010000000000000011110010000000000000011000010000000001100101000000000000000000000000000000000000000100100000011000001111000010000000000000000000000000000000000011001000000000010010111000111111111000100000000000000000010110001100101001010000000000000011110010000000000000011000010000000001100101000000000000000000000000000000000000000100100000011000001111000010000000000000000000000000000000000011001000000000010010100100111111111000100000000000000000010110001100101001010000000000000011010101000001101000011000010000000001100101000000000000000000000000000000000000000100111000011000001101101001111000000000000001010110000000000011001000000000000010110100111111111010100000000000000000010110001111000001010000000000000001001010000111011000011000010000000001100101000000000000000000000000000000000000000100110000011000010001110001111000000000000001010110000000000011001000000000000011000010111111111000100000000000000000010110001111000001010000000000000001101000000110010000100100010000000001100100000000000000000000000000000000000000000100110000011000010001111010000010000000000001010011001100001011001000000000001001101110111111111000100100000000000000010110001111000001010000000000000010100010000101101000101101010000000001100110000000000000000000000000000000000000000100111000011000010010000010000010000000000001100001001100111011001000000000001001000110111111111000100100000000000000010110001110110001010000000000010001111001001000000000101101010000000001100100000000000000000000000000000000000000000100100000011000010001111001111000000000000001010110000000000011001000000000000011011100111111111010100000000000000000010110001110100001010000000000010001100111000101101000011001010000000001100100000000000000000000000000000000000000000100110000011000010001111001111000000000000001010110000000000011001000000000000011000100111111111010100000000000000000010110001110100001010000000000011001011011000110001000011001010000000001100101000000000000000000000000000000000000000100110000011000010010000001111000000000000001010110000000000011001000000000000011000100111111111010100000000000000000010110001110100001010000000000101001011101000101111000011001010000000001100101000000000000000000000000000000000000000100110000011000010010000001111000000000000001010110000000000011001000000000000011000110111111111010100100000000000000010110001110100001010000000000110001011100000110000000011001010000000001100100000000000000000000000000000000000000000100110000011000010001110001111000000000000001010110000000000011001000000000000010010100111111111010100100000000000000010110001110100001010000000000110001000100001000000000011001010000000001100011000000000000000000000000000000000000000100110000011000010001111001111000000000000001010110000000000011001000000000000010101010111111111000100000000000000000010110001110100001010000000000101001001000001001000000100000010000000001100011000000000000000000000000000000000000000100110000011000010001111010000010000000000001110001000000000011001000000000000010111010111111111000100000000000000000010110001110100001010000000000101001010011000111110000100000010000000001100011000000000000000000000000000000000000000100110000011000010001111010000010000000000001101111000000000011001000000000000010111100111111111000100100000000000000010110001110100001010000000000101001010100000111111000100000010000000001100011000000000000000000000000000000000000000100110000011000010010000010000010000000000001110000000000000011000111000000000010111000111111111000100100000000000000010110001110100001010000000000110001001111001000010000100000010000000001100011000000000000000000000000000000000000000100101000011000010010000010000010000000000001010110000000000011000111000000000001111110111111111010100100000000000000010110010000101001010000000000110000111111001000011000011001010000000001100011000000000000000000000000000000000000000100110000011000010001110001111000000000000001010110000000000011000111000000000010000100111111111010100000000000000000010110001110100001010000000000101001000100000111111000011001010000000001100011000000000000000000000000000000000000000100111000011000010001110001111000000000000001010110000000000011000111000000000010001000111111111000100100000000000000010110001110011001010001000000100001001111001000101000100110010000000001100011000000000000000000000000000000000000000100111000011000010001111010000010000000000001101101001011101011000111000000000011000100111111111000100100000000000000010110001110011001010001000000101001011010001000111000101001010000000001100011000000000000000000000000000000000000000100111000011000010001111010000010000000000001100110001100011011000111000000001000000100111111111000100000000000000000010110001110011001010001000000110001110100001001010000101111010000000001100100000000000000000000000000000000000000000100111000011000010001101010000010000000000001100011001101010011000111000000001001001110111111111000100000000000000000010110001110011001010001000001001010011110001001100000111111010000000001100011000000000000000000000000000000000000000100111000011000010001111010000010000000000001110000001110100011000110000000001000011110111111111000100100000000000000010110000100010001010001000001110001110010001101011001000011010000000001101010000000000000000000000000000000000000000100100000011100010010000010000010000000000001110000001111010011000110000000001000111010111111111000100100000000000000010110001101101001010001000010001001110101010000011001000111010000000001110000000000000000000000000000000001100000000100110000011100010010001010000010000000011001101110001101111011000101000000000001110100111111111000100100000000000000010110001101101001010010000010100000011111001100110000100010010000000010000001000000000000000000000000000001100000000100110000011000010001111010000010000000011001010110010000000011000101000000001010101010111111111000100000000000000000010110001101101001010010000010110010100011001100001001001000010000000010001110000000000000000000000000000001100000000100110000011000010001101010000010000000011001101101010000101011000100000000001001111010111111111000100100000000000000010110001101101001010010000011010010010010001101101001001000010000000010011100000000000000000000000000000001100000000100110000011100010001111010000010000000011001101111010000011011000100000000001001010010111111111000100000000000000000010110001101101001010010000011101001111011001111001000110111010000000010101100000000000000000000000000000001100000000100111000011000010010000001111000000000011001010110000000000011000011000000000010011110111111111000100100000000000000010110001111100001010011000011110010101100001010000001000110010000000010101001000000000000000000000000000001100000000100111000011000010001111010000010000000011001010101010000000011000011000000001010100110111111111000100100000000000000010110001101100001010011000100000010100110001011001001000110010000000010100010000000000000000000000000000001100000000100111000011100010001110010000010000000011001101010010000101011000010000000001010010000111111111000100000000000000000010110001101100001010011000100011010011101001100000001000110010000000010100110000000000000000000000000000001100000000100101000011100010010000010000010000000011001101100010000101011000010000000001011111010111111111000100100000000000000010110010001101001010100000100100000110000001010100000011001010000000010101100000000000000000000000000000001100000000100101000011000010001111010000010000000011001011110001100111011000010000000001000100010111111111000100000000000000000010110001101111001010100000100101010000110001000101000110010010000000001110111000000000000000000000000000001100000000100101000011000010001111010000010000001001001100101001101110011000010000000001000011100111111111000100000000000000000010110001101011001010101000100101010000011001000110000110010010000000001101111000000000000000000000000000001100000000100101000011000010010000010000010000010101001100101001101100011000010000000001000010110111111111000100000000000000000010110001101011001010101000100110010000000001001000000110010010000000001101101000000000000000000000000000001100000000100101000011000010001111010000010000010101001101000001101100011000010000000001000010010111111111000100100000000000000010110001101011001010101000100111001111101001001011000110010010000000010010101000000000000000000000000000001100000000100100000011000010001111010000010000010101001101010001101010011000010000000001000010000111111111000100000000000000000010110001101010001010110000101000001111011001001011000110010010000000010011011000000000000000000000000000001100000000100100000011000010001110010000010000010101001101010001100111011000010000000001000001100111111111000100100000000000000010110001101010001010110000101000001111000001001101000110001010000000010001101000000000000000000000000000001100000000100100000011100010001111010000010000010101001101100001101010011000010000000001000000000111111111000100001000000000000010110001101010001010111000101001001101110001001111000101100001111100010101001000000000000000000000000000011000000000100100000011000010001111001111000000010101001010110000000000011000010000000000001110000111111111010100000000000000000010110001111010001010111000101001000111010001001001000011001001110000010110011000000000000000000000000000011000000000100100000011000010010000001111000000010110001010110000000000011000010000000000010001001111111111010100100000000000000010110001101010001010111000101001001010011000111010000011010001110000000011000000000000000000000000000000010000000000100100000011000010010001001111000000010110001010110000000000011000010000000000010010001111111111010100000000000000000010110001101010001010111000101000001010010000111010000011010001110111000010011000000000000000000000000000010000000000100110000011000010001111001111000000010110001010110000000000011000010000000000010010011111111111010100100000000000000010110001101001001011000000101000001010000000111100000011001001111111001001010000000000000000000000000000010000000000100110000011000010010000001111000000010110001010110000000000011000011000000000010010101111111111010100100000000000000010110001101001001011000000101000001010000000111010000011001010000100001111011000000000000000000000000000010100000000100110000011000010010001001111000000101011001010110000000000011000011000000000010010110111111111010100000000000000000010110001101000001011001000101000001001111000111010000011001010000110001001000000000000000000000000000000010100000000100111000011000010010001001111000000111000001010110000000000011000011000000000010010101111111111010100000000000000000010110001101000001011001000101000001001111000111001000011001010000110001000110000000000000000000000000000010000000000100111000011000010010000001111000001000000001010110000000000011000011000000000010010100111111111010100100000000000000010110001101000001011001000101000001001111000111010000011001010001001001101111000000000000000000000000000010100000000100111000011000010010000001111000001001100001010110000000000011000011000000000010010101111111111010100000000000000000010110001101000001011010000101000001010000000111010000011001010001010001100111000000000000000000000000000010100000000100111000011000010010000001111000001100111001010110000000000011000011000000000010010111111111111010100000000000000000010110001101000001011010000101000001010000000111001000011001010001010001000011000000000000000000000000000010100000000100111000011000010010000001111000001111100001010110000000000011000011000000000010010110111111111010100100000000000000010110001100111001011011000100111001010001000111001000011001010001011001110110000000000000000000000000000010100000000100101000011000010010000001111000010011101001010110000000000011000011000000000010010010111111111010100001000000000000010110001100111001011011000100111001010001000111001000011001010001011001011001000000000000000000000000000011100000000100101000011000010010000001111000010111011001010110000000000011000011000000000010011010111111111010100101000000000000010110001100111001011011000100111001010010000110110000011001010001011001011001000000000000000000000000000011100000000100100000011000010010000001111000011011110001010110000000000011000011000000000010011010111111111010100000000000000000010110001100110001011100000100110001010010000110111000011001010001011001011011000000000000000000000000000011100000000100100000011000010010000001111000000000000001010110000000000011000011000000000010011010111111111010100101000000000000010110001100110001011100000100110001010010000110101000011001010001011001100001000000000000000000000000000010100000000100100000011000010001111001111000000100010001010110000000000011000011000000000010011001111111111010100000000000000000010110001100110001011101000100101001010100000110101000011001010000000001101101000000000000000000000000000000100000000100100000011000010010000001111000000111000001010110000000000011000011000000000010011000111111111010100000000000000000010110001100110001011101000100101001010101000110100000011001010000001000110000000000000000000000000000000010000000000100100000011000010010000001111000000111000001010110000000000011000011000000000001110111111111111010100000000000000000010110001100110001011101000100100000111111001000011000011001010000001010010010000000000000000000000000000011000000000100100000011000010001110001111000000111101001010110000000000011000011000000000001101101111111111010100000000000000000010110001100101001011110000100010000111100001000011000011001010000011000110000000000000000000000000000000010000000000100110000011000010001111001111000000111110001010110000000000011000011000000000001110001111111111010100000000000000000010110001100101001011110000011110000111100001000100000011001010001101000110001000000000000000000000000000010000000000100110000011000010001110001111000000111111001010110000000000011000011000000000001110110111111111010100100000000000000010110001100101001011110000011000000111101001000100000011001010010100001011001000000000000000000000000000010000000000100110000011000010001100001111000001000100001010110000000000011000011000000000001111011111111111010100000000000000000010110001100101001011111000010110000111100001000100000011001010010111001101111000000000000000000000000000011100000000100110000011000010001011001111000001010110001010110000000000011000011000000000001111001111111111010100100000000000000010110001100101001011111000010100000111100001000100000011001010011001010000010000000000000000000000000000011000000000100110000011000010001110001111000001100010001010110000000000011000011000000000001110101111111111010100000000000000000010110001100100001100000000010001000111101001000100000011001010011001001111110000000000000000000000000000010100000000100111000011000010001100001111000001110010001010110000000000011000011000000000001111000111111111010100100000000000000010110001100100001100000000001100000111100001000011000011001010011010001101000000000000000000000000000000011100000000100100000011000010001110001111000010000101001010110000000000011000011000000000001110101111111111010100100000000000000010110001100010001100001000000110000111101001000100000011001010010111001101111000000000000000000000000000010100000000100100000011000010001101010000010010001111001111000001011011011000011000000000011001001111111111000100000000000000000010110001100010001100001000000011010000010001001011000110101001111001001001010000000000000000000000000000010000000000100100000011000010001010010000010010010000001101010001110101011000010000000001001001111111111111000100100000000000000010110001100010001100001000000111010010010001001000000111001010000011001000110000000000000000000000000000011100000000100111000011000010010000010000010010100001001101110001110010011000010000000001000010101111111111000100101000000000000010110001100000001100010000001101001110101001100001000111010001110101010100111000000000000000000000000000011000000000100111000011100010001101010000010010100001010000011001101010011000001000000000011001100111111111000100100000000000000010110001100000001100010000010000001100010001110100000111011001100111001111100000000000000000000000000000010100000000100111000011100010001111010000010010101000001111110001101111011000000000000000011001111111111111000100100000000000000010110001100000001100010000010010000101100001111100000011001001101110010100100000000000000000000000000000011000000000100110000011000010010000010000010010101101001011101001111001011000000000000001001111110111111111000100100000000000000010110001101001001100011000010100010100001001010111001000010001110010010010111000000000000000000000000000011000000000100110000011000010001100010000010010101101001101111001111001010111111000000001000111100111111111000100100000000000000010110001011101001100011000011000010000001001100101000111110001100011010001000000000000000000000000000000011100000000100110000011100010001110010000010010110110001111010001110001010111110000000001011111100111111111000100100000000000000010110001011101001100011000011010001110101001101110000111110001101001001010001000000000000000000000000000010100000000100101000011100010001101010000010011001101010000000001110001010111101000000000011011101111111111000100100000000000000010110001011011001100100000011100001101100001110110000111111001101110001110101000000000000000000000000000011100000000100101000011100010001101010000010011110000001111110001101111010111101000000000011010011111111111000100100000000000000010110001011001001100101000011110001100101001111101000111111001101111001110100000000000000000000000000000010000000000100110000011100010001110010000010000000001001111010001110001010111100000000000011010011111111111000100100000000000000010110001011001001100101000011111001100000010000010000111111001101111001001001000000000000000000000000000011100000000100110000011100010001110010000010000001110001111000001110010010111100000000000011001100111111111000100100000000000000010110001011001001100101000100000001011110010000101001000000001111001010101011000000000000000000000000000011010000000100110000011000010010000001111000000010011001010110000000000010111011000000000001101101111111111000100100000000000000010110001100111001100110000100001010000001001011000000111010001111001010110100000000000000000000000000000011000000000100101000011000010001111010000010000011001001101000001110001010111011000000001000001110111111111000100100000000000000010110001010111001100110000100010001111110001011100000111011001110100001000110000000000000000000000000000011100000000100101000011100010001110010000010000111111001111000001110001010111011000000000011111110111111111000100100000000000000010110001010111001100110000100011001111001001100001000111011001101011001111001000000000000000000000000000011100000000100110000011100010001111010000010001101000001111011001101111010111011000000001011111100111111111000100100000000000000010110001010101001100111000100100001110110001100100000111011001101010001110100000000000000000000000000000010100000000100100000011100010001111010000010010001011001111110001101111010111011000000000011101111111111111000100000000000000000010110001010010001101000000100101001110010001100111000111011001101001001000100000000000000000000000000000011000000000100111000011000010010000001111000010101001001010110000000000010111011000000000001011001111111111000100100000000000000010110001100110001101000000100101001111000001000111000110001001111100010101000000000000000000000000000000010100000000100100000011000010001111010000010010101010001011101001101010010111011000000001000001001111111111000100100000000000000010110001010000001101001000100110001111111001000111000110010010000011001001111000000000000000000000000000010100000000100111000011000010001111010000010011001111001101100001101100010111011000000000011111010111111111000100100000000000000010110001001110001101010000100111001111011001001001000110010001111110010100010000000000000000000000000000011100000000100100000011000010001111010000010011110100001001100001100111010111011000000000011111010111111111000100100000000000000010110001001110001101010000101000001111000001001010000110010001111100000110100000000000000000000000000000011100000000100100000011000010001111010000010000011110001001110001100111010111011000000000011110011111111111000100000000000000000010110001001110001101010000101000001110100001001100000110010001111000001111101000000000000000000000000000010100000000100100000011000010001111010000010001001010001010000001100101010111011000000000011011010111111111000100000000000000000010110001001100001101011000101001001110010001001110000110001001110011001011000000000000000000000000000000010100000000100111000011100010001111010000010001110110001010011001100101010111011000000000011100000111111111000100000000000000000010110001001100001101011000101010001100000001001111000101101001101110010110010000000000000000000000000000011000000000100111000011100010001111010000010010001001001100000001011101010111011000000000010001100111111111000100100000000000000010110001001100001101011000101010001000011001001110000011001001100111010111110000000000000000000000000000011000000000100100000011000010010000001111000010001111000110100000000000010111011000000000001011001111111111010100100000000000000010110001010110001101100000101001001010110000111011000100001010000001000010011000000000000000000000000000010000000000100111000011000010001111010000010010010100001001101000000000010111011000000000010100011111111111000100000000000000000010110001001000001101101000101001001010111000111011000100001010000101010000110000000000000000000000000000011100000000100111000011000010010000010000010010101110001001101000000000010111100000000000010011101111111111000100100000000000000010110001001000001101101000101001001010111000111011000100001001111111010000010000000000000000000000000000011100000000100111000011000010001110010000010011000010001010011001011001010111100000000000010011110111111111000100100000000000000010110001001000001101101000101001001011100000111010000100011001111101000111100000000000000000000000000000011100000000100110000011000010001111010000010011100110001010100001011000010111100000000000010100011111111111000100000000000000000010110001000101001101110000101000001011011000111011000100011001111110000111101000000000000000000000000000011100000000100110000011000010010000010000010000001010001010011001011000010111100000000000010011110111111111000100100000000000000010110001000011001101111000101000001011010000111011000100011001111111001110000000000000000000000000000000011100000000100101000011000010001111010000010000101010001010100001011001010111100000000000010101111111111111000100100000000000000010110001000011001101111000101000001011111000111001000100100010000010010001101000000000000000000000000000011100000000100101000011000010001111010000010001001101001010001001011001010111100000000000010110111111111111000100000000000000000010110001000011001101111000100111001100000000111000000100101001111110010100010000000000000000000000000000011100000000100101000011000010001110010000010001101111001010001001011001010111100000000000010111001111111111000100100000000000000010110001000011001101111000100111001100001000110111000100100001111100010101110000000000000000000000000000010100000000100110000011000010010000010000010010001011001010001001011000010111100000000000010011111111111111000100100000000000000010110001000001001110000000100111001011100000111001000100011001110111001001110000000000000000000000000000010100000000100110000011000010010000010000010010101011001010001001011000010111100000000000010010010111111111000100100000000000000010110001011100001110001000100110001010000000111011000011001001111100001000100000000000000000000000000000011100000000100111000011000010001110001111000010111111000110100000000000010111100000000000001101000111111111010100001000000000000010110001001000001110001000100101000111101000111010000011001001110110011000011000000000000000000000000000011000000000100111000011000010001111001111000010111111000110100000000000010111100000000000001101010111111111010100000000000000000010110001000000001110010000100001001000100000110010000011001001110010001001010000000000000000000000000000010100000000100111000011000010001110001111000011000110000110100000000000010111100000000000001110001111111111010100000000000000000010110001000000001110010000011101001001010000101111000011001001110101001011110000000000000000000000000000011100000000100111000011000010001101001111000011001010000110100000000000010111101000000000001101110111111111010100000000000000000010110001000000001110010000011000001001001000101110000011001001110101000010001000000000000000000000000000010000000000100111000011000010001111001111000011001110000110100000000000010111101000000000001110100111111111010100101000000000000010110001000000001110010000010010001001010000101111000011001001111100000010111000000000000000000000000000011100000000100101000011000010001110001111000011001111000110100000000000010111100000000000001101111111111111010100000000000000000010110000111111001110011000001110001000111000110000000011001001111100001010001000000000000000000000000000010100000000100101000011000010001110001111000011010100000110100000000000010111100000000000001110110111111111010100000000000000000010110000111111001110011000001001001001000000110000000011001001111101010100110000000000000000000000000000011100000000100100000011000010001110001111000011100100000110100000000000010111100000000000001110110111111111010100100000000000000010110000111110001110100000000110001001011000101111000011001001111101000011000000000000000000000000000000010100000000100100000011000010001101001111000011111000000110100000000000010111100000000000001110100111111111010100000000000000000010110000111110001110100000000100001001010000101110000011001001111101000100001000000000000000000000000000010100000000100100000011000010001110001111000011111110000110100000000000010111100000000000001110110111111111010100000000000000000010110000111110001110101000000011001001010000101110000011001001111110000110010000000000000000000000000000010100000000100100000011000010001110001111000000001110000110100000000000010111100000000000001110110111111111010100100000000000000010110000111110001110101000000010001001010000101110000011001001111111000101001000000000000000000000000000010100000000100100000011000010001111001111000000011110000110100000000000010111100000000000001110100111111111010100100000000000000010110000111110001110101000000010001001010000101111000011001001111111001101011000000000000000000000000000010100000000100100000011000010001111001111000000110100000110100000000000010111100000000000010110010111111111000100000000000000000010110000111110001110101000000000010010100000111110000110100010000001000001101000000000000000000000000000010000000000100100000011000010001110010000010000111010000111001001110001010111011000000001001110010111111111000100000000000000000010110000111101001110101000000101010111000000111010000111111010010010001101101000000000000000000000000000011100000000100110000011000010001101010000010000111101001000111010000000010111011000000001001101110111111111000100000000000000000010110000111101001110110000001110010011001001101011001001001010000010010110111000000000000000000000000000011000000000100110000011100010001111010000010000111101001010100001111111010111001000000001000010001111111111000100100000000000000010110001011011001110111000010011000100000001111011000011001001101100011000001000000000000000000000000000011000000000100110000011000010001110010000010001000001000110101001111101010111001000000001010010000111111111000100100000000000000010110001000101001110111000010101010110011001011111001001011001111000001001011000000000000000000000000000010100000000100110000011000010001110010000010001010011001001101010000101010110111000000001001101000111111111000100100000000000000010110000111101001110111000011010010011010001110001001001100001111000001110011000000000000000000000000000011100000000100110000011100010001110010000010001101111001010100010000101010110110000000001000101010111111111000100100000000000000010110000111100001111000000011110010001000001111111001001100001110101001101101000000000000000000000000000011100000000100100000011100010001110010000010001111101000110100000000000010110101000000000000000000111111111010100100000000000000010110001010100001111000000100000010000000001010111001000010001111111011001011000000000000000000000000000011000000000100111000011000010001110010000010010000100001000000010000000010110101000000001001000011111111111000100000000000000000010110000111100001111000000100001010010101001011110001000011001111111010010010000000000000000000000000000011100000000100111000011100010001100010000010010100011001010000010000000010110110000000001000100011111111111000100100000000000000010110000111100001111000000100011010001111001100010001000011001110110010011101000000000000000000000000000011100000000100111000011100010001110010000010011001100001010100001111001010110110000000001000010111111111111000100100000000000000010110000111100001111000000100101010001011001100101001000011001110101000110110000000000000000000000000000011100000000100111000011110010001110010000010011101010001010110001110101010110110000000001000000010111111111000100100000000000000010110000111100001111000000100110001111100001101001001000000001110010010001111000000000000000000000000000010100000000100111000011110010001110010000010000000001001010111000000000010110110000000000001010010111111111010100100000000000000010110001010011001111001000100110000101100001001011000100010001100111011001101000000000000000000000000000011000000000100101000011010010001110010000010000000001001001110001011101010110110000000000011000001111111111000100100000000000000010110000111011001111001000100111001100100001001000000101110001111100001000111000000000000000000000000000011100000000100101000011010010001110010000010000100111001011010001100001010110111000000000011000010111111111000100100000000000000010110000111011001111001000100111001100011001001010000101110001111011010100000000000000000000000000000000011100000000100101000011010010001101010000010001010101001011100001100001010110111000000000010110011111111111000100000000000000000010110000111011001111010000100111001100010001001010000101110001111100010010111000000000000000000000000000011100000000100101000011010010001111010000010010000010001011100001100001010110111000000000010110101111111111000100000000000000000010110000111010001111011000101000001100010001001010000101110001111101000110100000000000000000000000000000011100000000100100000011010010001110010000010010110000001011110001100001010110111000000000011000010111111111000100100000000000000010110000111010001111011000101000001100001001001010000101110001111100000100000000000000000000000000000000011100000000100110000011010010001111010000010011011110001011111001100001010110111000000000010111101111111111000100000000000000000010110000111001001111100000101000001100000001001010000101110001111100000011001000000000000000000000000000011100000000100110000011010010001110010000010000001100001011111001011111010111000000000000011000001111111111000100100000000000000010110000111001001111100000101000001101001001001010000110001010000001000010000000000000000000000000000000010000000000100110000011010010001101010000010000100110001010101001100101010111000000000000011101110111111111000100100000000000000010110000111001001111100000101000001110010001001011000110010010000110010101101000000000000000000000000000011100000000100110000011010010001111010000010001001101001010101001100111010111000000000000011011001111111111000100000000000000000010110000111001001111101000101000001110010001001101000110011010000011010100101000000000000000000000000000010100000000100110000011010010001111010000010001111001001010101001101000010111000000000000011100101111111111000100100000000000000010110000111000001111110000101001001110010001001100000110011010000001000101010000000000000000000000000000011100000000100111000011110010001110010000010010100111001010110001100101010111001000000000011010100111111111000100000000000000000010110000111000001111110000101001001110001001001101000110011001111001001100010000000000000000000000000000010100000000100111000011110010001110010000010011010101001011000001100101010111001000000000011011001111111111000100100000000000000010110000111000001111110000101001001101101001001101000110010001111011010001010000000000000000000000000000010100000000100111000011110010001110010000010000000011001011110001100001010111001000000000001100000111111111000100000000000000000010110000111000001111111000101001000101000001001100000011100001110010011001101000000000000000000000000000011000000000100111000011110010001111010000010000000101000110100000000000010111001000000000001000100111111111010100100000000000000010110000111000001111111000101000000100100001001100000011001001100011011000010000000000000000000000000000011000000000100101000011010010001110001111000000000110000110100000000000010111001000000000001000010111111111010100000000000000000010110000110111010000000000100111000110001000111001000011001001100100000000101000000000000000000000000000010000000000100101000011010010001101001111000000000110000110100000000000010111001000000000001101000111111111010100000000000000000010110000110111010000000000100110001001001000101110000011001001101010000000100000000000000000000000000000010000000000100101000011010010001110001111000000000110000110100000000000010111001000000000001101001111111111010100001000000000000010110000110111010000000000100011001001001000101101000011001001110001000000100000000000000000000000000000010000000000100101000011010010001101001111000000000110000110100000000000010111001000000000001101010111111111010100001000000000000010110000110110010000001000100000001000111000101101000011001001110111000000110000000000000000000000000000010000000000100100000011010010001011001111000000000110000110100000000000010111001000000000001101111111111111010100000000000000000010110000110110010000001000011101001001000000101101000011001001111110000010000000000000000000000000000000010000000000100100000011010010001110001111000000000110000110100000000000010111001000000000001110000111111111010100000000000000000010110000110110010000010000010111001001001000101101000011001010000100000011001000000000000000000000000000010000000000100100000011010010001100001111000000000110000110100000000000010111001000000000001110011111111111010100000000000000000010110000110110010000010000010011001001010000101100000011001010001001000101000000000000000000000000000000010100000000100100000011010010001101001111000000001000000110100000000000010111001000000000001110100111111111010100000000000000000010110000110110010000010000001101001001010000101110000011001010001010001101111000000000000000000000000000010100000000100100000011010010001011001111000000010010000110100000000000010111001000000000001110100111111111010100000000000000000010110000110101010000011000001000001001001000101101000011001010001100001100011000000000000000000000000000011100000000100110000011010010001110001111000000100010000110100000000000010111001000000000001110100111111111010100000000000000000010110000110101010000011000000110001001001000101110000011001010001100000011001000000000000000000000000000010100000000100110000011010010001110001111000000111000000110100000000000010111001000000000001110000111111111010100001000000000000010110000110100010000100000000100001001010000101100000011001010001100010011010000000000000000000000000000010100000000100111000011010010001011001111000001001100000110100000000000010111001000000000001110111111111111010100100000000000000010110000110100010000100000000011001011111000110100000100100010001111001001000000000000000000000000000000010100000000100111000011010010001111010000010001010000001001011001011001010111001000000000010010110111111111010100000000000000000010110001001110010000100000000010001001101000110101000011001010010101010110011000000000000000000000000000011000000000100100000011010010001100001111000001011001000110100000000000010111001000000000001110100111111111010100000000000000000010110000110110010000100000000010001000111000101111000011001010001111011000011000000000000000000000000000011000000000100111000011010010001110001111000001011001000110100000000000010111000000000000001110001111111111010100000000000000000010110000110100010000101000000000001011010000101101000101010010000001010111001000000000000000000000000000010100000000100111000011010010001011010000010001101010000111110001110001010111000000000001001000101111111111000100000000000000000010110000110100010000101000000010010100011001001010001000001010001000000000110000000000000000000000000000010000001000100101000011010010001000010000010001101010001001110010000001010110111000000001001101101111111111000100000000000000000010110000110011010000110000001010010011010001011010001000010010010000010011001000000000000000000000000000011000001000100101000011110010001110010000010001101101001011010001111001010110110000000000011111110111111111000100100000000000000010110000110011010000110000010000001110101001110111001000110010000000000101001000000000000000000000000000011100001000100101000011110010001110010000010001111000001010111010000100010110101000000001000110001111111111000100100000000000000010110000110011010000111000010100001111110010010101001010000010000101010111101000000000000000000000000000011000001000100101000011110010001111001111000001111001000110100000000000010110011000000000001001111111111111000100100000000000000010110001000101010000111000010110010101100001011111001001011001111010000001011000000000000000000000000000010000001000100101000011010010001101010000010001111010001000101010001000010110011000000001001011000111111111000100100000000000000010110000110011010000111000011011010011010001101111001001011010001000010101000000000000000000000000000000010100001000100101000011110010001110010000010010010011001010111010000011010110010000000001000011101111111111000100100000000000000010110000110011010000111000011110001000110001111110000100101001111110011001001000000000000000000000000000011010001000100111000011010010001111001111000010011011000110100000000000010110001000000000001100010111111111000100000000000000000010110000111110010001000000011110001000011001010001000101011001110110010101111000000000000000000000000000010100001000100100000011010010001111010000010010011100001011100001011111010110001000000000010010011111111111000100000000000000000010110000110010010001000000011110001100010001010011000110010010000100000010000000000000000000000000000000011100001000100110000011110010001101010000010010101010001100011001100101010110010000000000010111011111111111000100000000000000000010110000110001010001001000011111001100001001010110000110011001111110000101000000000000000000000000000000011100001000100110000011110010001011010000010011000000001100100001100101010110010000000000010110010111111111000100000000000000000010110000110001010001001000100000001011111001010111000110011001110101010100100000000000000000000000000000011000001000100110000011110010001111010000010011000111001100111001011101010110010000000000001100001111111111000100000000000000000010110001000001010001001000011111000100100001010110000011001001100110011001100000000000000000000000000000011000001000100110000011010010001110010000010011001000001001010000000000010110010000000000001101100111111111000100001000000000000010110000110001010001010000011110000111101001010100000101000001110111010001011000000000000000000000000000011100001000100110000011010010001110001111000011001111000110100000000000010110010000000000001001010111111111010100000000000000000010110001000101010001010000011110000100010001010001000011101001101100011000011000000000000000000000000000011000001000100110000011010010001110010000010011001111001010001000000000010110010000000000001010101111111111000100100000000000000010110000110000010001011000011101000101110001010000000100001001011000010010110000000000000000000000000000010100001000100111000011010010001110010000010011010001001010001000000000010110011000000000001010101111111111000100000000000000000010110000110000010001011000011101000101110001001110000100001001011101000010011000000000000000000000000000010000001000100111000011110010001111010000010011010101001010100000000000010110011000000000001011000111111111000100101000000000000010110000110000010001011000011100000110100001001110000101100001111111010111001000000000000000000000000000010100001000100111000011110010001110010000010011011110001100110001011111010110011000000000010011101111111111000100100000000000000010110000101111010001100000011101001001100001001111000101100010001101010011010000000000000000000000000000011100001000100101000011110010001110010000010011110011001100111001011101010110011000000000001101010111111111000100100000000000000010110001000111010001100000011101000101100001010000000011100001111110011001100000000000000000000000000000011000001000100101000011110010001111010000010011110011001001010000000000010110011000000000001001101111111111000100100000000000000010110000101111010001100000011101000100101001001110000011100001101010010111111000000000000000000000000000011000001000100101000011110010001111010000010011110011001001010000000000010110011000000000001001111111111111000100100000000000000010110000101111010001100000011100000101100001001100000011111001100111010101000000000000000000000000000000010100001000100101000011110010001110010000010011110110001100110001011001010110011000000000001101011111111111000100000000000000000010110000101111010001101000011100000111100001001011000100101001110101000001011000000000000000000000000000010000001000100101000011110010001110010000010011110110001100110001011011010110011000000000001111000111111111000100100000000000000010110000101111010001101000011011001000110001001100000101001010001000000001110000000000000000000000000000010000001000100100000011110010001111010000010011110110001100101001100011010110011000000000010101111111111111000100100000000000000010110000101110010001110000011100001010111001001101000101101010010111010010100000000000000000000000000000011100001000100100000011110010001111010000010000001101001100101001100011010110011000000000010001111111111111000100001000000000000010110001000110010001110000011100000110010001001011000011001010001101011001110000000000000000000000000000011000001000100100000011010010001110001111000000010101001010001000000000010110011000000000001011111111111111000100100000000000000010110000110110010001110000011011000101111001001000000011110001111101011000110000000000000000000000000000011000001000100100000011010010001110010000010000010101001010100000000000010110011000000000001010011111111111000100100000000000000010110000101110010001111000011010000110000001000110000011110001101100010101011000000000000000000000000000011000001000100100000011010010001111010000010000010110001010111000000000010110011000000000001010100111111111000100000000000000000010110000101110010001111000011001000110010001000100000011110001101100000010010000000000000000000000000000010000001000100100000011010010001111010000010000011100001011011000000000010110100000000000001011110111111111000100000000000000000010110000101101010010000000011001001000110001000011000100101001111010000001100000000000000000000000000000010000001000100110000011010010001110010000010000100010001100101001011000010110100000000000001111101111111111000100100000000000000010110000101101010010000000011000001001001001000011000100101010001010000100101000000000000000000000000000010100001000100110000011010010001101010000010000101110001100101001011001010110100000000000010000011111111111000100100000000000000010110000101101010010000000011000001001000001000010000100101010001110010001111000000000000000000000000000011100001000100110000011010010001111010000010001001111001100101001011001010110100000000000001111011111111111000100000000000000000010110000101101010010000000011001001001000001000011000100101010001100010100101000000000000000000000000000011100001000100110000011010010001110010000010001110011001100100001011011010110100000000000010011011111111111000100100000000000000010110000101101010010000000011001001010111001000100000101010010010100001001101000000000000000000000000000011100001000100111000011010010001101010000010001111100001100101001011101010110011000000000010011000111111111000100100000000000000010110000101100010010001000011010001010000001000111000101010010010011010001000000000000000000000000000000010100001000100111000011010010001111010000010010010100001011000001100011010110011000000000011100101111111111000100000000000000000010110000101100010010001000011011001101011001001100000110001010011000010101100000000000000000000000000000010100001000100111000011010010001110010000010010101111001011111001100101010110011000000000011001110111111111000100100000000000000010110000101100010010001000011100001100010001001110000110001010010000010111100000000000000000000000000000011100001000100111000011110010001101010000010011000111001100101001100101010110011000000000010110001111111111000100100000000000000010110000101100010010001000011110001011100001010001000110001010000100010000001000000000000000000000000000011100001000100100000011110010001110010000010011011100001100110001100011010110011000000000010100101111111111000100101000000000000010110000101010010010010000011111001011001001010101000110001001111110001100000000000000000000000000000000011100001000100100000011110010001110010000010011110100001100111001100111010110011000000000010011100111111111000100100000000000000010110000101010010010010000100000001010110001011000000110001001111100010000010000000000000000000000000000010100001000100101000011110010001110001111000000001101000110100000000000010110011000000000001001000111111111010100100000000000000010110001000001010010011000100000001010011001000010000101100001111110011010000000000000000000000000000000010100001000100110000011010010001101010000010000010000001000111001011111010110011000000000011001011111111111000100000000000000000010110000101001010010011000100001001110011000111101000101101010000101000101100000000000000000000000000000011100001000100110000011010010001111010000010000100001001011110001011001010110011000000000010010010111111111000100100000000000000010110000101001010010011000100001001000110000111111000100010001111110011000111000000000000000000000000000011000001000100110000011010010001110010000010000100011001100101001010110010110011000000000001010011111111111010100100000000000000010110001001001010010011000100001000111010000111110000011001001110011000011101000000000000000000000000000011100001000100110000011010010001110001111000000101001000110100000000000010110100000000000001001001111111111010100000000000000000010110000100111010010100000100000000101110000111101000011001001101101010111011000000000000000000000000000011000001000100101000011010010001110010000010000101010001011000001011000010110100000000000001110011111111111000100100000000000000010110000100111010010100000100000001001101000111011000100011001110001000010110000000000000000000000000000010000001000100101000011010010001111010000010000101100001100000001011000010110100000000000010000000111111111000100100000000000000010110000100110010010101000011111001001110000111010000100011001111100010010001000000000000000000000000000010100001000100100000011010010001110010000010001001101001011100001011000010110100000000000010000000111111111000100000000000000000010110000100110010010101000011110001010001000111001000100011010000100000100111000000000000000000000000000011100001000100100000011010010001101010000010001101010001001110001100111010110100000000001000011101111111111000100000000000000000010110000100110010010101000011110010011101000111000000110101010000100000000101000000000000000000000000000010000001000100100000011010010001111010000010001101100001001100001101010010110100000000001000100100111111111000100000000000000000010110000100110010010101000011111010011001000111000000110101010010010001001100000000000000000000000000000010000001000100100000011010010001101001111000001110001000110100000000000010110100000000000001110010111111111010100100000000000000010110000111010010010101000011111001000011000110011000011001010010011011010000000000000000000000000000000011000000000100111000011010010001101001111000001110001000110100000000000010110100000000000001011100111111111010100001000000000000010110000100100010010110000011110001000010000101001000011001001111011011000010000000000000000000000000000011000000000100111000011010010001011001111000001110010000110100000000000010110100000000000001101001111111111010100000000000000000010110000100100010010110000011010001000011000101010000011001001111010001111000000000000000000000000000000010100000000100111000011010010001101001111000001110100000110100000000000010110100000000000001011101111111111010100000000000000000010110000100100010010110000010101001000110000101001000011001001111010010101010000000000000000000000000000010100000000100111000011010010001010001111000001111100000110100000000000010110100000000000001100001111111111010100000000000000000010110000100100010010110000010001001000110000100111000011001001111010000001101000000000000000000000000000010100000000100111000011010010001101001111000010000000000110100000000000010110100000000000001011111111111111010100000000000000000010110000100100010010110000001011001001010000100101000011001001111011000001011000000000000000000000000000010000000000100101000011010010001101001111000010000000000110100000000000010110100000000000001101100111111111010100000000000000000010110000100011010010111000000111001001011000100111000011001010000000010111010000000000000000000000000000011100000000100101000011010010001010001111000010000001000110100000000000010110100000000000001100101111111111010100000000000000000010110000100011010010111000000100001000110000101000000011001010000000010110110000000000000000000000000000010100000000100101000011010010001110010000010010001000001001000000000000010110011000000000010010111111111111000100000000000000000010110000100011010010111000000011001101011000110101000101000010000011000011100000000000000000000000000000010000000000100101000011010010001011010000010010001010001011001001011001010110011000000000011001100111111111000100000000000000000010110000100011010010111000000100001111000000110001000101010010001110010001110000000000000000000000000000011100000000100110000011010010001110001111000010011101000110100000000000010110011000000000001101101111111111010100000000000000000010110000110001010010111000000110001000010000101111000011001010001100011000100000000000000000000000000000011000000000100100000011010010001011001111000010011101000110100000000000010110011000000000001011100111111111010100100000000000000010110000100001010011000000000101001000100000100111000011001010000110010001111000000000000000000000000000010100000000100110000011010010001100001111000010100000000110100000000000010110011000000000001101011111111111010100100000000000000010110000100001010011000000000011001000011000101000000011001010000110000100101000000000000000000000000000010100000000100110000011010010001010001111000010100111000110100000000000010110011000000000001100101111111111010100000000000000000010110000100001010011000000000010001001010000100011000011001010000110000100000000000000000000000000000000011100000000100100000011010010001001001111000010101011000110100000000000010110010000000000001100101111111111010100100000000000000010110000100010010011000000000000001000111000100110000011001010000110001110100000000000000000000000000000011100000000100100000011010010001101001111000010110010000110100000000000010110010000000000001101001111111111010100000000000000000010110000100011010011000000000000001000011000101000000011001010000110010111101000000000000000000000000000011100000000100100000011010010001010001111000010111011000110100000000000010110010000000000010001101111111111000100000000000000000010110000100111010011001000000000001111101000111011000101110010000011000001110000000000000000000000000000010000001000100101000011010010001101010000010011000000001000011001101010010110010000000001000000010111111111000100100000000000000010110000100111010011001000000010010001001000111110000110011010010011000001111000000000000000000000000000010000001000100101000011010010001011010000010011000000001010001001101010010110010000000001000010101111111111000100000000000000000010110000100111010011001000001000010001001001000000000110011010011110010101011000000000000000000000000000011000001000100100000011010010001110010000010011010101001011101001101000010110001000000000000010100111111111000100000000000000000010110000100110010011010000001011010010111001011010001000100010000100000010001000000000000000000000000000010000001000100100000011010010001011010000010011011011001011110001111101010110000000000001000001100111111111000100100000000000000010110000100110010011010000010000001111010001111010001000110010000011001011001000000000000000000000000000011100001000100100000011110010001110010000010011100111001011011000000000010101111000000000000111100111111111000100100000000000000010110001000010010011010000010011010101101001001111001001001001111010010111000000000000000000000000000000010100001000100111000011010010001010010000010011101011001001000001111100010101111000000001000010000111111111000100100000000000000010110000100110010011010000010110010000100001011100000111110001111101001110111000000000000000000000000000011100001000100100000011110010001101010000010000000000001100011001110100010101110000000000011111011111111111000100101000000000000010110000100110010011010000011001001111000001101000000111111001111011010101000000000000000000000000000000010100001000100100000011110010001110010000010000011011001101010001110100010101110000000000011010101111111111000100100000000000000010110000100100010011011000011011001101101001101111000111111001110101001010000000000000000000000000000000010100001000100111000011110010001100010000010000111010001101011001110100010101110000000000011101111111111111000100100000000000000010110000100100010011011000011101001011100001110111000100100001111111011001010000000000000000000000000000011000001000100111000011010010001110001111000001000101001100100001100011010101101000000000000000101111111111000100100000000000000010110000110000010011011000011110010001011001010001000111100001111110000001011000000000000000000000000000010000001000100111000011010010001100010000010001000110001011001001110010010101101000000000000001111111111111000100100000000000000010110000100100010011011000100000010000010001010111000111100010000011010011011000000000000000000000000000011100001000100111000011110010001100010000010001100001001100000001110100010101101000000000011111110111111111000100100000000000000010110000100100010011011000100001001111100001011101000111100001111101010101101000000000000000000000000000010100001000100111000011110010001110010000010001111100001010111010000011010101101000000001001010011111111111000100100000000000000010110000100011010011100000100011010100111001100011001001011010000111001011000000000000000000000000000000010100001000100101000011110010001110010000010010001011001010011010000111010101101000000001001011011111111111000100100000000000000010110000100011010011100000100110001101111001101000000100111010000010011001110000000000000000000000000000011000001000100101000011010010001101001111000010011011000110100000000000010101101000000000001000110111111111010100100000000000000010110000101111010011100000100110000110111000110011000011001001111001011001001000000000000000000000000000011000000000100101000011010010001111010000010010011011001100100000000000010101101000000000001011111111111111000100100000000000000010110000100011010011100000100101000110110001000100000100000001110010011000100000000000000000000000000000011000001000100101000011010010001111010000010010011011001100100000000000010101101000000000001010100111111111000100100000000000000010110000100011010011100000100100000110111001000100000100000001100010000010001000000000000000000000000000010100001000100110000011010010001110010000010010100000001100101001010110010101110000000000001100110111111111000100000000000000000010110000100001010011101000100011001001100001000010000100111001101101000001100000000000000000000000000000010000001000100110000011010010001110010000010010100000001011001001100011010101110000000000011101011111111111000100100000000000000010110000100001010011101000100011010000001001000100000110011010001100000110101000000000000000000000000000010100001000100111000011010010001110010000010010100111001011001001101000010101110000000000011110110111111111000100100000000000000010110000100000010011110000100100001111110001000011000110011010001111001111111000000000000000000000000000010100001000100111000011010010001110010000010011001101001011001001101000010101110000000000011011100111111111000100000000000000000010110000100000010011110000100100001110100001000100000110001010001001010100100000000000000000000000000000011100001000100111000011010010001101010000010011100011001011111001100001010101110000000000010111001111111111000100101000000000000010110000100000010011110000100101001101000001000110000101110010000000010110111000000000000000000000000000011100001000100111000011010010001110010000010011111101001100001001011111010101110000000000010111100111111111000100100000000000000010110000100000010011110000100101010011001001000100000111101010000010000001000000000000000000000000000000010000001000100111000011010010001101010000010000001010001010011001111001010101110000000001000101001111111111000100100000000000000010110000100000010011111000100110010001100001000111000110010010001100010111000000000000000000000000000000011000001000100111000011010010001110010000010000010111001101000001100001010101111000000000010101001111111111000100100000000000000010110000100000010011111000100111001011111001001010000101110001111011010110111000000000000000000000000000011100001000100111000011010010001110010000010000100010001101100001011111010101111000000000010101000111111111000100000000000000000010110000100000010100000000101000001001101001001010000101010001110110010000100000000000000000000000000000011000001000100111000011010010001101010000010000110100001110001001011011010101111000000000010000011111111111000100100000000000000010110000100000010100000000101000001001010001001011000101010001110010000110000000000000000000000000000000010100001000100111000011010010001101010000010001011000001110001001011011010101111000000000001111101111111111000100101000000000000010110000100000010100000000101000000110111001001010000011001001111000011001000000000000000000000000000000011000001000100111000011010010001110001111000001101011000110100000000000010101111000000000000111000111111111010100000000000000000010110000100000010100000000100111000011100001001000000011001001110011000001001000000000000000000000000000010000001000100111000011010010001110001111000001101100000110100000000000010101111000000000000111011111111111010100000000000000000010110000100000010100001000100110000011110001000110000011001001111101000000111000000000000000000000000000010000001000100111000011010010001101001111000001101100000110100000000000010101111000000000000111111111111111010100100000000000000010110000100000010100001000100101000100001001000110000011001010000111000000111000000000000000000000000000010000001000100111000011010010001110001111000001101100000110100000000000010101111000000000001001100111111111010100000000000000000010110000100000010100010000100100000111100000101001000011001010000001010111111000000000000000000000000000011100000000100111000011010010001101001111000001101101000110100000000000010101111000000000001100111111111111010100000000000000000010110000100001010100010000100000001001000000100110000011001010000000001010011000000000000000000000000000011100000000100110000011010010001101001111000001110001000110100000000000010101111000000000001011011111111111010100100000000000000010110000100001010100010000011100001000110000100110000011001010000000001011111000000000000000000000000000011100000000100110000011010010001010001111000001111100000110100000000000010101111000000000001100101111111111010100000000000000000010110000100001010100010000010111001000100000101010000011001010000000010111001000000000000000000000000000010100000000100110000011010010001100001111000010000101000110100000000000010101111000000000001011011111111111010100100000000000000010110000100001010100010000010110001000111000101000000011001010000000001110001000000000000000000000000000010100000000100110000011010010001101001111000010001100000110100000000000010101111000000000001011011111111111010100101000000000000010110000100001010100011000010011001000110000100110000011001010000000000010101000000000000000000000000000011100000000100110000011010010001100001111000010001111000110100000000000010101111000000000001011011111111111010100000000000000000010110000100001010100011000001110001000100000101000000011001001111111000010101000000000000000000000000000011100000000100110000011010010001101001111000010010101000110100000000000010101111000000000001100011111111111010100100000000000000010110000100001010100011000001000001000111000101000000011001001111111011000110000000000000000000000000000011100000000100110000011010010001101001111000010011110000110100000000000010101111000000000001011111111111111010100000000000000000010110000100001010100100000000101001000011000101001000011001001111111010111111000000000000000000000000000010100000000100110000011010010001100001111000010100101000110100000000000010101111000000000001011101111111111010100100000000000000010110000100010010100100000000000001000100000101000000011001001111111010100100000000000000000000000000000010100000000100100000011010010001101001111000010101101000110100000000000010101111000000000001011011111111111010100000000000000000010110000100010010100100000000000001000110000100110000011001001111111001101101000000000000000000000000000011100000000100100000011010010001100001111000010110100000110100000000000010101111000000000001011111111111111010100100000000000000010110000100010010100101000000000001000011000101001000011001001111111001001100000000000000000000000000000010100000000100100000011010010001100001111000010111100000110100000000000010101111000000000001100111111111111010100100000000000000010110000100010010100101000000000001000010000101001000011001001111111010111010000000000000000000000000000011100000000100100000011010010001100001111000011000000000110100000000000010101111000000000001011100111111111010100000000000000000010110000100010010100101000000000001000101000100111000011001001111110010110101000000000000000000000000000010100000000100101000011010010001100001111000011000101000110100000000000010101111000000000001011110111111111010100000000000000000010110000100011010100101000000000001000101000101001000011001001111110011000101000000000000000000000000000011100000000100101000011010010001101001111000011000111000110100000000000010101111000000000001011010111111111010100100000000000000010110000100011010100101000000000001000100000101000000011001001111100001111001000000000000000000000000000011100000000100101000011010010001101001111000011001110000110100000000000010101111000000000001100010111111111010100000000000000000010110000100100010100110000000000001000111000101001000011001001111101010111110000000000000000000000000000011100000000100111000011010010001100001111000011001111000110100000000000010101110000000000001011100111111111010100000000000000000010110000100100010100110000000000001000010000101001000011001001111100010101010000000000000000000000000000010100000000100111000011010010001011001111000011010010000110100000000000010101110000000000001101010111111111010100100000000000000010110000100101010100110000000000001000101000101010000011001001111101000110110000000000000000000000000000011100000000100110000011010010001100001111000011011000000110100000000000010101110000000000001011010111111111010100000000000000000010110000100101010100111000000000001000101000101000000011001001111101010111100000000000000000000000000000011100000000100110000011010010001100001111000011011101000110100000000000010101110000000000001011110111111111010100100000000000000010110000100101010100111000000000001000111000100111000011001001111110000001111000000000000000000000000000011100000000100110000011010010001100001111000011011111000110100000000000010101110000000000001011100111111111010100000000000000000010110000100101010100111000000000001000101000101001000011001001111110000101010000000000000000000000000000010100000000100110000011010010001100001111000011100100000110100000000000010101110000000000001011010111111111010100000000000000000010110000100101010100111000000000001000001000101001000011001001111110000100000000000000000000000000000000010100000000100111000011010010001100001111000011101010000110100000000000010101110000000000001011100111111111010100000000000000000010110000100100010100111000000000001001011000100101000011001001111111000001010000000000000000000000000000011100010000100110000011010010001100001111000011101011000110100000000000010101110000000000001011011111111111010100000000000000000010110000100100010100111000000000001000100000101001000011001001111111010111111000000000000000000000000000011100000000100111000011010010001100001111000011101101000110100000000000010101110000000000001011010111111111010100000000000000000010110000100100010101000000000000001000011000101001000011001001111100000010010000000000000000000000000000010100010000100111000011010010001100001111000011101110000110100000000000010101101000000000001011100111111111010100000000000000000010110000100100010101000000000000001000010000101001000011001001111101010111010000000000000000000000000000010100010000100111000011010010001100001111000011110000000110100000000000010101101000000000001011001111111111010100000000000000000010110000100100010101000000000000001000011000101001000011001001111100000010100000000000000000000000000000011100000000100111000011010010001100001111000011110100000110100000000000010101101000000000001011100111111111010100100000000000000010110000100100010101000000000000001000011000101010000011001001111100010101000000000000000000000000000000010100000000100111000011010010001100001111000011111010000110100000000000010101101000000000001011001111111111010100100000000000000010110000100100010101001000000000001000010000101001000011001001111100010110011000000000000000000000000000010100000000100111000011010010001100001111000011111110000110100000000000010101101000000000001011001111111111010100100000000000000010110000100100010101001000000000001000101000101001000011001001111100001110001000000000000000000000000000010100000000100111000011010010001110001111000000000101000110100000000000010101101000000000001011010111111111010100000000000000000010110000100100010101001000000000001000000000101010000011001001111100001101000000000000000000000000000000011100000000100101000011010010001110001111000000001011000110100000000000010101101000000000001011010111111111010100000000000000000010110000100011010101001000000000001000100000101010000011110001111100001000000000000000000000000000000000010100010000100111000011010010001101010000010000010100001011001001011001010101100000000000010110101111111111000100000000000000000010110000101000010101001000000000001101110000111011000101101010000110001111010000000000000000000000000000011100011000100111000011010010001101010000010000011101001101000001011001010101100000000000010011001111111111000100000000000000000010110000101000010101001000000010001100000000111110000101010010000110001100011000000000000000000000000000010100011000100111000011010010001101010000010000101100001011010001100011010101100000000000011101000111111111000100100000000000000010110000101000010101001000000111010010000001000000000110011010000111000001000000000000000000000000000000011100011000100111000011010010001101010000010000110001001101100001011101010101011000000000010001111111111111000100100000000000000010110000101000010101010000001010001001111001001100000101010001111111010100100000000000000000000000000000011000001000100111000011010010001110010000010000111001001110001001011111010101011000000000010010001111111111000100100000000000000010110000101000010101010000001100001100110001010110000110101001111101000100000000000000000000000000000000011100011000100111000011110010001101010000010001000001001110010001101000010101010000000000010100111111111111000100100000000000000010110001001100010101010000001110000100100001011100000011001001110111011000100000000000000000000000000000011000001000100111000011010010001100001111000001000001000110100000000000010101010000000000001000101111111111010100100000000000000010110000101100010101010000001101000111000000110001000011001010000000000011111000000000000000000000000000010100000000100111000011010010001100001111000001000101000110100000000000010101010000000000001011011111111111010100000000000000000010110000101000010101011000001011001000001000101100000011001001111111010111011000000000000000000000000000011100000000100111000011010010001110010000010001000111001100010001011001010101010000000000010001010111111111000100000000000000000010110000101000010101011000001011001001110001001101000101100001111110000010100000000000000000000000000000010000001000100111000011110010001100010000010001001100001110000001100101010101001000000000011001100111111111000100100000000000000010110000101000010101011000001101001111110001100000001000000010000101010110110000000000000000000000000000010100011000100111000011110010001100010000010001010000001101000001111010010101000000000000011111110111111111000100100000000000000010110000101000010101011000010001001110010001111100001000100010001010010101100000000000000000000000000000010100001000100111000011110010001100010000010001011001001101100001100011010100111000000000000101110111111111010100100000000000000010110001001000010101011000010011000100100001100001000111000010000000011001100000000000000000000000000000011000011000100111000011010010001100010000010001011100001001001010000101010100110000000001000111110111111111000100100000000000000010110000101000010101011000010111010101010001100001001001010010000111000010110000000000000000000000000000010000011000100111000011010010001101010000010001100100001011100010001000010100110000000001001000011111111111000100100000000000000010110000101000010101011000011011010010101001110011001001010010001100001110110000000000000000000000000000010100011000100111000011110010001100010000010001110101001100001010000101010100101000000001000010101111111111000100100000000000000010110000101000010101011000011110000110010001111011000100000010000011011010001000000000000000000000000000010101001000100111000011010010001101001111000001111110001010000001011001010100100000000000011100000111111111000100000000000000000010110000110100010101100000011111010100111001010111001000110010000010000001000000000000000000000000000000010000011000100111000011010010001101010000010010000010001000100010000011010100100000000001001010001111111111000100000000000000000010110000101000010101100000100010010100010001011111001000111010001101010111000000000000000000000000000000011000011000100111000011110010001100010000010010011100001011100010000011010100100000000001000100111111111111000100100000000000000010110000101000010101100000100101010010111001100011001000111010000110000111001000000000000000000000000000011100011000100111000011110010001100010000011010101001001011110010000011010100100000000001000011111111111111000100100000000000000010110000101000010101100000100111010001111001101111001000111010000111010110001000000000000000000000000000010100011000100111000011110010001010010000011010111110001100001010000011010100100000000001000010001111111111000100100000000000000010110000101000010101101000101010010001000001110100001000111010000101000100110000000000000000000000000000011000011000100111000011010010001101001111000011001001000110100000000000010100100000000000010011000111111111000100101000000000000010110000111100010101101000101010011000110001010001001001101001111010000010010000000000000000000000000000010100001000100100000011010010001101010000011011010001000110100010000000010100101000000001001011101111111111000100100000000000000010110000101000010101101000101100010101000001010011001000011001111110001010011000000000000000000000000000010100011000100111000011110010001011010000011011011110001010111001111101010100101000000001000011010111111111000100100000000000000010110000101000010101101000101110010011000001010110001000001010000001011000011000000000000000000000000000011100011000100111000011110010001110010000011011101110001011010001111100010100110000000001011000000111111111000100000000000000000010110001001100010101110000101110000101010001010001000011001001111001011010110000000000000000000000000000011000001000100111000011010010001100001111000011110001001100111001011000010100110000000000010001011111111111000100100000000000000010110000110000010101110000101110001100101001000001000101011001110111010100011000000000000000000000000000011100011000100111000011010010001100010000011011111100001100100001011101010100111000000000010101100111111111000100000000000000000010110000101000010101110000101110001110100001000010000110001001111111000001111000000000000000000000000000010000011000100111000011010010001101010000011000010010001010111001100111010100111000000000011101011111111111000100101000000000000010110000101000010101111000101110010001000001000100000110010010001000001001011000000000000000000000000000011100011000100111000011010010001101010000011000100010001010111001101110010100111000000000011100110111111111000100100000000000000010110000101000010101111000101101010001001001000010000110010010001110010110010000000000000000000000000000011100011000100111000011010010001110010000100001000001001010111001101010010100111000000000011111000111111111000100000000000000000010110000101000010101111000101101010001010001000011000110010010001100010110101000000000000000000000000000011100011000100111000011010010001110010000100001011101001010110001101010010101000000000001011111110111111111000100000000000000000010110000101000010110000000101101010001110001000010000110100010001100010111101000000000000000000000000000011100011000100111000011010010001101010000101001111001001010110001101110010101000000000000011110101111111111000100000000000000000010110000101000010110000000101101010001110001000000000110100010001001010001110000000000000000000000000000010100011000100111000011010010001110010000101010010100001010110001101010010101001000000001011110101111111111000100100000000000000010110000101000010110000000101100010001110001000010000110100010001001010000011000000000000000000000000000010100011000100111000011010010001110010000110010111000001010110001101110010101001000000001011110110111111111000100100000000000000010110000101000010110000000101101010001110001000000000110100010001011000011101000000000000000000000000000010100011000100111000011010010001110010000110011100000001010110001101110010101001000000000011111010111111111000100101000000000000010110000101000010110000000101101010001110000111111000110100010001100000100111000000000000000000000000000010100011000100111000011010010001100010000110000000101001010110001101110010101001000000000011111011111111111000100000000000000000010110000101000010110000000101101010001110001000000000110100010001000001010101000000000000000000000000000011100011000100111000011010010001101010000111000100000001010101001110001010101010000000001000001011111111111000100001000000000000010110000101000010110000000101101010011001001000011000110111010000101000011011000000000000000000000000000010100011000100111000011010010001110010000111000111010001010100001101110010101010000000001000100010111111111000100000000000000000010110000101000010110000000101110010010111001000001000110111010000101010101000000000000000000000000000000011000011000100111000011010010001101010001000001001101001010100001110101010101010000000001000011011111111111000100100000000000000010110000101000010110000000101111010010110001000010000110111010000001000100000000000000000000000000000000011100011000100111000011010010001101010001000001101010001010101001101110010101011000000001000011010111111111000100100000000000000010110000101000010101111000101111010010101001000010000110111010000001000011100000000000000000000000000000010100011000100111000011010010001101010001000010010001001010101001101110010101011000000001000011001111111111000100000000000000000010110000101000010101111000101111010010110001000110000110111001111111000100101000000000000000000000000000010100011000100111000011010010001110010001000010101001001010101001110010010101011000000001000010010111111111000100100000000000000010110000101000010101111000110000010010100001000100000111000001111111000101101000000000000000000000000000011100011000100111000011010010001011010001000011001001001010101001101111010101100000000001000001110111111111000100100000000000000010110000101000010101110000110000010010011001000101000111000010000001010011110000000000000000000000000000011100011000100111000011010010001110010001000011101111001010101001110100010101100000000001000000110111111111000100000000000000000010110000101000010101110000110000010010011001000110000111000010000010010000000000000000000000000000000000010100011000100111000011010010001110010001000000010011001010101001110010010101100000000001011111111111111111000100101000000000000010110000101000010101101000110001010010000001000110000110111001111100000100110000000000000000000000000000011100011000100111000011010010001100010001000000100111001010110001110010010101100000000001000001101111111111000100100000000000000010110000101000010101101000110001010010000001001000000110111001111111000111011000000000000000000000000000010100011000100111000011010010001101010001000001001001001010110001101110010101101000000000011111000111111111000100000000000000000010110000101000010101101000110010010001110001001000000110111001111100001001101000000000000000000000000000011100011000100111000011010010001110010001000001100100001011010001101000010101101000000000011010101111111111000100100000000000000010110000101000010101100000110010001111101001001000000110011001110110010101010000000000000000000000000000011100011000100111000011010010001110010000111010000111001101110001011011010101101000000000001110100111111111000100000000000000000010110000101000010101100000110001000111010001001000000100001001101000011010001000000000000000000000000000011000001000100111000011010010001101010000111010000111001110000001010110010101101000000000001011000111111111000100100000000000000010110000101000010101011000110001000111100001000100000100100001010110010101110000000000000000000000000000010100001000100111000011010010001101010000111010001001001100111001011101010101101000000000010110001111111111000100101000000000000010110000101000010101011000110000001101010001000110000101111001111110010011010000000000000000000000000000010100011000100111000011010010001110010000111010101010001011111001100101010101101000000000011010011111111111000100000000000000000010110000101000010101011000110000001110100001000101000110000001111111000101010000000000000000000000000000010100011000100111000011010010001110010000111011010101001011110001100101010101101000000000011010010111111111000100100000000000000010110000101000010101011000110000001110010001000111000101110001111001010110010000000000000000000000000000011100011000100111000011010010001110010000111011111001001100101001011101010101101000000000010100100111111111000100100000000000000010110000101000010101011000110000001100011001000101000101101001110001001011000000000000000000000000000000010100011000100111000011010010001101010000110000011110001100101001011101010101101000000000010111001111111111000100001000000000000010110000101000010101011000110000010000001001000110000110101001111011000001011000000000000000000000000000010000011000100111000011010010001101010000110000100110001010110001110001010101110000000001000000101111111111000100000000000000000010110000101000010101011000110001001101111001000101000101010010000100010111111000000000000000000000000000011000011000100111000011010010001110010000110000101011001110000001011011010101110000000000010000000111111111000100001000000000000010110000101000010101010000110001001001110001000111000101000001110010010110101000000000000000000000000000011100001000100111000011010010001110010000110000110101001110000001011011010101110000000000010000010111111111000100000000000000000010110000101000010101010000110001001010100001000110000101001001101111000100010000000000000000000000000000010100011000100111000011010010001110010000110001001111001101110001011011010101110000000000010001111111111111000100100000000000000010110000101000010101010000110001001010100001000101000101001001110101010000000000000000000000000000000000011100011000100111000011010010001101010000110001101101001100110000000000010101110000000000001000101111111111010100100000000000000010110000101000010101010000110001000100111001000110000011010001101111011001001000000000000000000000000000011000001000100111000011010010001110001111000001101101000110100000000000010101110000000000001000001111111111010100100000000000000010110000101000010101010000110000000101110001000101000011101001101010010101011000000000000000000000000000011100001000100111000011010010001110010000110001110011001100111000000000010101110000000000001011101111111111000100000000000000000010110000101000010101010000110000001001010001000100000101000001100100000001101000000000000000000000000000010000011000100111000011010010001110010000110001110110001011101001100111010101110000000000011011001111111111000100001000000000000010110000101000010101001000110000001111001001000100000110001010000110001011111000000000000000000000000000010100011000100111000011010010001101010000110010001101001011100001100101010101110000000000011010100111111111000100100000000000000010110000101000010101001000110000001110000001000101000101110010000100010111010000000000000000000000000000011100011000100111000011010010001110010000110010100001001101100001011011010101110000000000010000111111111111000100000000000000000010110000101000010101001000101111000101100001000011000011001001110111011001100000000000000000000000000000011000001000100111000011010010001110001111000010100011000110100000000000010101110000000000001010110111111111000100000000000000000010110000101000010101001000101110000111011001000001000100000001101010010111110000000000000000000000000000011000001000100111000011010010001110010000101010100100001011010001011011010101110000000000011000111111111111000100101000000000000010110000101000010101001000101100001111010001000000000101111010000010000011010000000000000000000000000000010100011000100111000011010010001110010000101010110000001011001001100101010101110000000000011010000111111111000100000000000000000010110000101000010101001000101011010000011000111111000110100010001010000011001000000000000000000000000000010100011000100111000011010010001110010000101011000000001010010001110010010101110000000001000101110111111111000100000000000000000010110000101000010101001000101011010100010000111100000111000010001101000110010000000000000000000000000000011100011000100111000011010010001110010000101011000110001010100001101110010101111000000001011111110111111111000100101000000000000010110000101000010101001000101011010000010000111110000101101010001010010110110000000000000000000000000000011000011000100111000011010010001110010000101011011001001011110001011101010101111000000000010111000111111111000100000000000000000010110000101000010101001000101010001110001000111011000101100001111101010110111000000000000000000000000000011100011000100111000011010010001110010000101011110010001010101001100111010101111000000000011110100111111111000100100000000000000010110000101000010101001000101010010010110000111101000110100010000010000001011000000000000000000000000000010000011000100111000011010010001111010000101011110100001010100001101110010101111000000001000000101111111111000100100000000000000010110000101000010101001000101010010010101000111010000110100010001111001100000000000000000000000000000000011100011000100111000011010010001110010000101000010010001010010001101110010101111000000001000011100111111111000100100000000000000010110000101000010101001000101010010100101000111011000111011010010111000011000000000000000000000000000000011100001000100111000011010010001101010000110000100101001000011001110010010101111000000001001101111111111111000100000000000000000010110000101000010101001000101011010110110000111010000111110010010000000111101000000000000000000000000000010100001000100111000011010010001101010000110000111001001000001001101111010110000000000001001010100111111111000100100000000000000010110000101000010101001000101101010111010001000010000111111010000111010100001000000000000000000000000000011100001000100111000011010010001010010000110001000101001000110001110110010110000000000001001001110111111111000100100000000000000010110000101000010101001000101101010110100001000000000111111010000011000100111000000000000000000000000000011100011000100111000011010010001101010000110001011011001010011001110010010110000000000001000001100111111111000100000000000000000010110001000100010101010000101111010011111001001000000110111001111101001111110000000000000000000000000000011100011000100111000011010010001101010000110001101100001010101001101110010110000000000001011111010111111111000100000000000000000010110000101000010101010000101111010010000001000010000110110001111100001111110000000000000000000000000000010100011000100111000011010010001100010000110010000100001010101001101111010110000000000001011111110111111111000100100000000000000010110000101000010101010000101111010010111001000110000111000010000001001010110000000000000000000000000000011100011000100111000011010010001110010000110010100011001010101001110010010110001000000001000001000111111111000100100000000000000010110000101000010101010000110000010010110001000110000111000010000110010100100000000000000000000000000000010100011000100111000011010010001100010000110011001110001010101001101111010110001000000001000010000111111111000100100000000000000010110000101000010101010000110001010001010001000101000110100010000000001010101000000000000000000000000000010100011000100111000011010010001100010000110011101101001011110001100011010110001000000000010111100111111111000100100000000000000010110000101000010101010000110001001110000001000111000101111001110101010110101000000000000000000000000000011100011000100111000011010010001110010000110000000001001100000001100001010110001000000000010111101111111111000100000000000000000010110000101000010101010000110001001101111001000101000101111001110100000100001000000000000000000000000000010100011000100111000011010010001110010000101000101101001100110001011101010110001000000000010001000111111111000100100000000000000010110000101000010101010000110001001010001001000111000101000001101100010101110000000000000000000000000000011100011000100111000011010010001110010000101000111011001110000001011011010110001000000000001111010111111111000100001000000000000010110000101000010101010000110000001010110001000101000101011001101001000010001000000000000000000000000000010000011000100111000011010010001110010000101001001110001100011001011111010110001000000000010111101111111111000100100000000000000010110000101000010101011000110000001110010001000110000110000001111001000100110000000000000000000000000000010100011000100111000011010010001110010000100001011001001011011001100111010110001000000000011100110111111111000100100000000000000010110000101000010101011000110000010000110001000101000110101010001000000101110000000000000000000000000000010100011000100111000011010010001110010000100001100000001010110001101110010110001000000001000001101111111111000100100000000000000010110000101000010101011000110001010001101001000101000110110010010001010000001000000000000000000000000000011100011000100111000011010010001110010000101001111111001010110001101110010110001000000000011110100111111111000100100000000000000010110000101000010101011000110001010001001001000110000110101010001000010011000000000000000000000000000000011100011000100111000011010010001110010000101010011111001100101001011101010110001000000000010100001111111111000100000000000000000010110000101000010101011000110001001011011001000101000101011001111010010110010000000000000000000000000000011000011000100111000011010010001110010000100010100000001100110001011101010110001000000000010110101111111111000100100000000000000010110000101000010101011000110000001101111001000111000101110001110101001111011000000000000000000000000000010100011000100111000011010010001110010000100010101100001011100001100101010110001000000000011011001111111111000100100000000000000010110000101000010101011000110000010000000001000101000110011010000001000011101000000000000000000000000000010000011000100111000011010010001110010000100010110010001010101001110010010110001000000001000011100111111111000100100000000000000010110000101000010101011000110000010010110001000100000111011010001110000011111000000000000000000000000000010100011000100111000011010010001110010000100011001001001010000001111000010110001000000001000110101111111111000100000000000000000010110000101000010101011000110001010100101001000111000111100010001100010101100000000000000000000000000000011100011000100111000011010010001110010000101011100001001010111001101110010110001000000000011101101111111111000100000000000000000010110000101000010101011000110001010000101001000110000110101010000000001001110000000000000000000000000000010100011000100111000011010010001110010000101011111101001010111001101110010110010000000000011100100111111111000100000000000000000010110000101000010101011000110010010000100001000110000110101010000010000100101000000000000000000000000000011100011000100111000011010010001110010000101000100001001011101001100111010110010000000000011000110111111111000100100000000000000010110000101000010101011000110001001110100001000110000110000001111001001110111000000000000000000000000000010100011000100111000011010010001101010000101000110111001011111001100011010110010000000000011001001111111111000100100000000000000010110000101000010101011000110001001101111001000111000101111001110101010100001000000000000000000000000000010100011000100111000011010010001101010000101001011110001100010001100001010110010000000000010110111111111111000100000000000000000010110000101000010101011000110001001101100001000111000101111001110010010001111000000000000000000000000000011100011000100111000011010010001110010000100010000110001100001001100001010110010000000000010101101111111111000100100000000000000010110000101000010101011000110001001101100001000101000101111001110110000101111000000000000000000000000000010100011000100111000011010010001110010000100010101110001100000001100001010110010000000000010111011111111111000100000000000000000010110000101000010101011000110001001101101001000111000101111001111010010100001000000000000000000000000000011100011000100111000011010010001101010000011011010100001000001001111001010110010000000001010101010111111111000100100000000000000010110000110110010101011000110001010101111001000100000110100001111101011000000000000000000000000000000000011100011000100111000011010010001110010000011011100001001101010001011111010110010000000000000101011111111111000100100000000000000010110000110000010101011000110001011100010001000111001011111001111101010110000000000000000000000000000000011100001000100111000011010010001110010000011011101011000011010000000000010110010000000001010000011111111111000100100000000000000010110001000100010101011000110011010010110001001100000110010001110001010100000000000000000000000000000000011100011000100111000011010010001101010000011011110101001110001001011011010110010000000000001101101111111111000100000000000000000010110000101000010101011000110011001000010001001001000100101001100010010111010000000000000000000000000000011000001000100111000011010010001101010000011011110101001110001001010110010110010000000000001011110111111111000100100000000000000010110000101000010101011000110010001100000001001010000101101010000001010100000000000000000000000000000000010100011000100111000011010010001101010000011000000110001011010001101100010110010000000000011101101111111111000100100000000000000010110000101000010101011000110011010000001001001000000110100010001000000011001000000000000000000000000000010100011000100111000011010010001101010000011000100001001011001001101110010110010000000000011100011111111111000100000000000000000010110000101000010101011000110010010000000001001000000110101010001000010100111000000000000000000000000000011100011000100111000011010010001110010000011001001110001011010001101010010110010000000000011110000111111111000100100000000000000010110000101000010101011000110011010000001001001001000110101010000110001000000000000000000000000000000000010100011000100111000011010010001110010000100001111011001011010001101111010110010000000000011100011111111111000100000000000000000010110000101000010101011000110010010000001001001000000110101010001000000111111000000000000000000000000000011100011000100111000011010010001110010000100010100111001011010001101111010110010000000000011110011111111111000100000000000000000010110000101000010101011000110010010000001001001001000110101010000011010101001000000000000000000000000000011100011000100111000011010010001110010000101011010010001010110001110101010110010000000001000010001111111111000100101000000000000010110000101000010101011000110010010010100001001001000111001010001010001001100000000000000000000000000000011100011000100111000011010010001110010000101011101101001010110001110101010110010000000001000001101111111111000100100000000000000010110000101000010101100000110010010010011001000111000111001010000100000111100000000000000000000000000000011100011000100111000011010010001110010000110000010110001010110001110101010110011000000001000011110111111111000100000000000000000010110000101000010101100000110011010010011001001001000111001010000001010100100000000000000000000000000000010100011000100111000011010010001110010000110001000010001010110001110010010110011000000001000000110111111111000100000000000000000010110000110110010101100000110011010010011001001001000110111010000000001000011000000000000000000000000000011100011000100111000011010010001100010000110001101100001011010001101110010110011000000000011010011111111111000100000000000000000010110000110000010101100000110011001110101001001010000110001001110111010110100000000000000000000000000000010100011000100111000011010010001110010000110001111101001100000001100101010110011000000000010111011111111111000100100000000000000010110000101000010101100000110011001110001001001000000110001001110001000100010000000000000000000000000000011100011000100111000011010010001110010000101010101000001100010001100011010110011000000000010111011111111111000100000000000000000010110000101000010101100000110011001110000001001010000110000001111000010101101000000000000000000000000000010100011000100111000011010010001110010000101011010100001100001001100011010110011000000000010111001111111111000100100000000000000010110000101000010101100000110011001101111001001000000110000001111001000110001000000000000000000000000000010100011000100111000011010010001110010000101011111111001100001001100001010110011000000000010110101111111111000100101000000000000010110000101000010101100000110011001101100001001001000110000001110111010100100000000000000000000000000000011100011000100111000011010010001110010000100000101100001100010001100001010110011000000000010111101111111111000100000000000000000010110000101000010101100000110010001101100001001001000101111001110110001100100000000000000000000000000000010100011000100111000011010010001110010000100001011001001011101001101010010110011000000000011101101111111111000100101000000000000010110000101000010101100000110011010000110001000111000110110010000010000011011000000000000000000000000000011100011000100111000011010010001101010000011001100110001011000001110001010110011000000000011111101111111111000100100000000000000010110000101000010101100000110010010000110001001001000110110010001100010101010000000000000000000000000000011100011000100111000011010010001110010000011010010000001011000001110001010110011000000000011111010111111111000100100000000000000010110000101000010101100000110011010000110001001001000110110010001000001001110000000000000000000000000000010100011000100111000011010010001110010000100010111101001011000001110001010110011000000000011101011111111111000100000000000000000010110000101000010101100000110011010000101001001001000110110010000011010010001000000000000000000000000000011100011000100111000011010010001110010000100011101000001011010001101110010110011000000000011100111111111111000100100000000000000010110000101000010101100000110011001101011001001001000101111001111110010110101000000000000000000000000000011000011000100111000011010010001101010000100011110001001100111001011111010110011000000000010100101111111111000100001000000000000010110000101000010101100000110011001100011001001010000101110001110010010110001000000000000000000000000000011100011000100111000011010010001110010000100000011000001101000001011111010110011000000000010101011111111111000100000000000000000010110000101000010101100000110011001100011001001001000101101001110011001010100000000000000000000000000000010100011000100111000011010010001100010000011000111010001100001001100001010110011000000000011110001111111111000100000000000000000010110000101000010101100000110010010001001001001000000110111010000110000010111000000000000000000000000000011100011000100111000011010010001110010000011001001000001010110001110001010110011000000001000001000111111111000100000000000000000010110000101000010101100000110011010001001001001010000110111010001110010101001000000000000000000000000000010100011000100111000011010010001100010000011001101101001011111001100111010110011000000000011010101111111111000100100000000000000010110001000010010101100000110011001101101001001001000101110010000010011000101000000000000000000000000000011000011000100111000011010010001101010000100001110011001101110001011111010110011000000000010001011111111111000100100000000000000010110000101000010101100000110011001010010001001010000101010001110001010110000000000000000000000000000000011100001000100111000011010010001110001111000001111000000110100000000000010110011000000000001001100111111111010100101000000000000010110000111100010101100000110001000110011000111111000011001001101011011000110000000000000000000000000000011000001000100100000011010010001100001111000001111001000110100000000000010110011000000000001001110111111111010100100000000000000010110000101000010101100000101101001000000000101110000011001001111110011001010000000000000000000000000000011000000000100111000011010010001101001111000001111001000110100000000000010110011000000000001011011111111111010100000000000000000010110000101000010101100000100111001000000000101110000011001001111000011001111000000000000000000000000000011000000000100111000011010010001100001111000001111001000110100000000000010110011000000000001010111111111111010100000000000000000010110000101000010101100000100001001000010000101110000011001001110001011000110000000000000000000000000000011000000000100111000011010010001101001111000001111001000110100000000000010110011000000000001011000111111111010100000000000000000010110000101000010101100000011001001000000000101110000011001001101101000100111000000000000000000000000000011100000000100111000011010010001101001111000001111110000110100000000000010110010000000000001010110111111111010100000000000000000010110000101000010101100000010011001000001000101110000011001001101100001101111000000000000000000000000000011100000000100111000011010010001100001111000010000011000110100000000000010110010000000000001010011111111111010100000000000000000010110000101000010101101000001111001000000000101101000011001001101000001001001000000000000000000000000000010100000000100111000011010010001100001111000010001000000110100000000000010110010000000000001010100111111111010100000000000000000010110000101000010101101000001100001000001000101110000011001001101001000100111000000000000000000000000000010100000000100111000011010010001101001111000010001101000110100000000000010110010000000000001010011111111111010100100000000000000010110000101000010101101000001001001000000000101101000011001001101001000010001000000000000000000000000000010100000000100111000011010010001100001111000010010100000110100000000000010110010000000000001011001111111111010100000000000000000010110000101000010101101000000111001000011000101101000011001001101101000001111000000000000000000000000000011100000000100111000011010010001100001111000010010110000110100000000000010110010000000000001010111111111111010100100000000000000010110000101000010101101000000101001000000000101110000011001001101110001010000000000000000000000000000000010100000000100111000011010010001100001111000010011010000110100000000000010110010000000000001010100111111111010100000000000000000010110000101000010101101000000100001000001000101101000011001001101110000001110000000000000000000000000000011100000000100111000011010010001101001111000010100000000110100000000000010110001000000000001010111111111111010100000000000000000010110000101000010101101000000011000111111000101101000011001001101111010110000000000000000000000000000000010100000000100111000011010010001110001111000010100110000110100000000000010110001000000000001101011111111111000100000000000000000010110000101000010101101000000000010000100001001010000110100001111111011000010000000000000000000000000000010100011000100111000011010010001110010000100010101011001001001001101010010110000000000000000000010111111111000100100000000000000010110000101000010101101000000100010010011001000011000110111010001010000011110000000000000000000000000000010100011000100111000011010010001110010000100010110000001010101001111000010110000000000001000110001111111111000100000000000000000010110000101000010101101000001011010001001001011000000111110010001100010101011000000000000000000000000000011000011000100111000011110010001110010000100010111101001101011001110010010101111000000000011010110111111111000100100000000000000010110000101000010101101000010000001101000001110110000111110001111001010110000000000000000000000000000000011100001000100111000011110010001101010000011011000101001100011001011001010101110000000000000101100111111111010100100000000000000010110001001000010101101000010001000100000001010110000011111001110001011000011000000000000000000000000000011100001000100111000011010010001100010000011011001000001100000001011111010101101000000000010100100111111111000100000000000000000010110000101000010101101000010010001011001001001100000101100001111110010110100000000000000000000000000000011100011000100111000011010010001110010000011011100011001110001001011001010101101000000000001101011111111111000100000000000000000010110000111010010101101000010011000111010001001011000011110001101110010111110000000000000000000000000000011000001000100111000011010010001101001111000011100011000110100000000000010101101000000000001000010111111111010100000000000000000010110000110100010101101000010010000111000000110101000011001001101000001010111000000000000000000000000000011100001000100111000011010010001100001111000011100111000110100000000000010101101000000000001011001111111111010100000000000000000010110000101000010101101000001111001000000000101101000011001001111110011001100000000000000000000000000000011000000000100111000011010010001100001111000011100111000110100000000000010101101000000000001011011111111111010100000000000000000010110000101000010101100000001101001000000000101111000011001001111000011001000000000000000000000000000000011000000000100111000011010010001011001111000011100111000110100000000000010101101000000000001011000111111111010100101000000000000010110000101000010101100000001010001000100000101100000011001001110100000011001000000000000000000000000000010000000000100111000011010010001010001111000011101001000110100000000000010101101000000000001010111111111111010100000000000000000010110000101000010101100000001000001000000000101100000011001001110101000010100000000000000000000000000000011100000000100111000011010010001101001111000011101111000110100000000000010101100000000000001010111111111111010100000000000000000010110000101000010101100000001000000111111000101110000100111010000000011000111000000000000000000000000000010100011000100111000011010010001101010000011011110000001000101001110101010101100000000001000110110111111111000100000000000000000010110000101000010101100000001010010011001001010101001000010010001001000010000000000000000000000000000000011100011000100111000011010010001011010000011011110110001011100010001010010101011000000001000110111111111111000100100000000000000010110000101000010101100000010001010010000010000010001001110010010000010011011000000000000000000000000000010100001000100111000011110010001011010000011000000011001100000010000111010101010000000001000001100111111111000100100000000000000010110000101000010101100000010110001110011010100011001000100001111101011000111000000000000000000000000000011000001000100111000011010010001101001111000000000101000110100000000000010101001000000000010011110111111111000100100000000000000010110000111000010101100000011000010011111001100111001001001001111110000011000000000000000000000000000000010100011000100111000011010010001100010000011000001100001001111010001000010100111000000001000111111111111111000100100000000000000010110000101000010101100000011100010011000001110110001001101010001101001010010000000000000000000000000000010100001000100111000011110010001100010000011000011100001100000010001010010100111000000001000101100111111111000100100000000000000010110000101000010101100000100000010001001010000110001001101010001011010001000000000000000000000000000000010100001000100111000011110010001101010000011000101100001100000010000111010100110000000001000010100111111111000100100000000000000010110000101000010101011000100011001111100010010011001000101010000110011000111000000000000000000000000000011010001000100100000011010010001101001111000000110100000110100000000000010100101000000000011001110111111111000100000000000000000010110000111100010101011000100100010101001001100100001001011001111100011000001000000000000000000000000000010100011000100111000011010010001100010000011000111000001001010010000110010100101000000001000110110111111111000100100000000000000010110000101000010101011000100111010011110001101101001001011010000011000100100000000000000000000000000000010100011000100111000011110010001101010000011001010000001011110010001001010100110000000001000101000111111111000100101000000000000010110000101000010101011000101010010010101001110100001001010010000111000110000000000000000000000000000000011100011000100111000011110010001100010000011001110000001100001010000101010100110000000001000100011111111111000100101000000000000010110000101000010101011000101100001111000001111011001000101001111010010100000000000000000000000000000000011100001000100111000011110010001101001111000001111001000110100000000000010100110000000000001000011111111111000100100000000000000010110000111100010101011000101101010101010001010011001001010001111011010001000000000000000000000000000000010000001000100111000011010010001101010000100010000001000111001001110110010100111000000001001101000111111111000100100000000000000010110000101000010101100000101110010110101001011001001001001001111010001100011000000000000000000000000000010100001000100111000011110010001101010000100010001001001010010010000000010100111000000001000110110111111111000100101000000000000010110000101000010101100000110000010011111001011100001000100001111011010001010000000000000000000000000000010100011000100111000011110010001101010000100010100110001011000010000110010101000000000001000101000111111111000100100000000000000010110000101000010101100000110001010011101001011101001000100010000000000101001000000000000000000000000000010100011000100111000011110010001100010000100011010010001011001010000001010101001000000001000110010111111111000100100000000000000010110000101000010101100000110010010011010001011111001000100001111011010000011000000000000000000000000000011100011000100111000011110010001101010000100011111101000110100000000000010101001000000000000111011111111111010100000000000000000010110001000000010101100000110010000110001001001001000110000010000000011010000000000000000000000000000000011000011000100111000011010010001110010000100000000000001001001001101110010101001000000000011111001111111111000100000000000000000010110000101000010101101000110010010001010001001001000110110010000101001011010000000000000000000000000000010100011000100111000011010010001100010000100000001100001010111001110001010101010000000000011110010111111111000100000000000000000010110000101000010101101000110010010001010001000111000110110010000100000010110000000000000000000000000000010100011000100111000011010010001100010000100000110101001010111001110001010101010000000000011110000111111111000100100000000000000010110000101000010101101000110011010001000001001001000110110010000100010111101000000000000000000000000000010100011000100111000011010010001100010000101001011100001010111001101110010101010000000000011101111111111111000100000000000000000010110000101000010101101000110011010001000001001001000110110010000000000110010000000000000000000000000000011100011000100111000011010010001101010000101010001000001011000001101110010101010000000000011111010111111111000100000000000000000010110000101000010101101000110011010000110001001011000110110010000010010001100000000000000000000000000000010100011000100111000011010010001100010000101010110011001011000001110001010101011000000000011100111111111111000100100000000000000010110000101000010101101000110100010000101001001010000110110010000010010100011000000000000000000000000000011100011000100111000011010010001100010000101011011111001011001001101110010101011000000000011100100111111111000100001000000000000010110000101000010101101000110100010000001001001010000110100001111101010101110000000000000000000000000000011100011000100111000011010010001101010000101000000100001011110001100111010101011000000000011000110111111111000100100000000000000010110000101000010101110000110100001110100001001001000110010001110101000100110000000000000000000000000000011100011000100111000011010010001101010000101000101100001100001001100011010101011000000000011001010111111111000100100000000000000010110000101000010101110000110011001110100001001010000110010001111001000011100000000000000000000000000000011100011000100111000011010010001110010000100001010111001100000001100011010101100000000000011010011111111111000100001000000000000010110000101000010101110000110100001110100001001011000110010001110111010011100000000000000000000000000000010100011000100111000011010010001100010000100010000101001011111001100111010101100000000000011000100111111111000100100000000000000010110000101000010101110000110011001110100001001010000110010001111001010011111000000000000000000000000000010100011000100111000011010010001110010000011010110010001100000001100111010101100000000000011000100111111111000100100000000000000010110000101000010101110000110011001110100001001001000110010001111101000011001000000000000000000000000000011100011000100111000011010010001101010000011011100000001100000001100111010101100000000000011010011111111111000100000000000000000010110000101000010101111000110011001110101001001010000110010001111110001001101000000000000000000000000000010100011000100111000011010010001101010000011000001101001011111001100111010101100000000000011000110111111111000100000000000000000010110000101000010101111000110011001110101001001010000110010001111110010110100000000000000000000000000000011100011000100111000011010010001101010000011000111010001011101001101100010101100000000000011101000111111111000100100000000000000010110000101000010101111000110011010001001001001000000110111010000011000010101000000000000000000000000000011100011000100111000011010010001101010000011001001000001010100001111010010101100000000001000111100111111111000100000000000000000010110000101000010101111000110011010100100001001011000111110010001101001100100000000000000000000000000000010100011000100111000011010010001101010000011001100111001010010001111010010101101000000001000101011111111111000100100000000000000010110000101000010101111000110011010100100001001001000111110010000111010110110000000000000000000000000000011100011000100111000011010010001101010000100010010000001010101001110110010101101000000000011100110111111111000100100000000000000010110000101000010101111000110011001111100001001010000110011001111110001011101000000000000000000000000000010100011000100111000011010010001100010000100010101001001011100001101100010101101000000000011010001111111111000100100000000000000010110000101000010101111000110011001111100001001010000110011001111001010100001000000000000000000000000000010100011000100111000011010010001100010000100011010101001011101001101000010101101000000000011010000111111111000100100000000000000010110000101000010101111000110011001111010001001010000110011001111101010011011000000000000000000000000000011100011000100111000011010010001110010000011011111110001011101001101100010101101000000000011011111111111111000100100000000000000010110000101000010101111000110100001111010001001010000110011001111110001111011000000000000000000000000000011100011000100111000011010010001110010000011000101100001011101001101000010101101000000000011011101111111111000100100000000000000010110000101000010101111000110100001111001001001010000110011001111110001000100000000000000000000000000000011100011000100111000011010010001101010000011001010110001011110001101000010101110000000000011011100111111111000100100000000000000010110000101000010101111000110100001111000001001010000110011001111100001101100000000000000000000000000000011100011000100111000011010010001110010000011010000100001011101001101010010101110000000000011001101111111111000100100000000000000010110000101000010101111000110100001110111001001010000110000001111011010110111000000000000000000000000000011100011000100111000011010010001100010000011010011111001101100001011111010101110000000000010011111111111111000100100000000000000010110000101000010101111000110100001011100001001010000101101001110100000100010000000000000000000000000000011100011000100111000011010010001100010000010010111100001101100001011111010101110000000000010100101111111111000100000000000000000010110000101000010101111000110100001100001001001001000101101001111010001001101000000000000000000000000000010100011000100111000011010010001101010000010011100110001101010001100001010101110000000000010100000111111111000100100000000000000010110000101000010101111000110011001100001001001010000101101010000000010110101000000000000000000000000000010100011000100111000011010010001101010000001000001011001101001001011111010101110000000000010100101111111111000100000000000000000010110000101000010101111000110011001100001001001001000101101010000000001111111000000000000000000000000000011100011000100111000011010010001101010000001000110010001101001001011111010101110000000000010101101111111111000100000000000000000010110000101000010101111000110011001100010001001001000101101001111100001101010000000000000000000000000000010100011000100111000011010010001101010000001001011000001100111001100001010101110000000000011100101111111111000100101000000000000010110000101000010101111000110011010010010001001000000111011010000111000001101000000000000000000000000000010000011000100111000011010010001101010000001001011110001010010001111100010101110000000001001000111111111111000100000000000000000010110000101000010101111000110011010101000001001010000111111010010001000110011000000000000000000000000000011100011000100111000011010010001011010000001010000001001010001001111101010101110000000001001001010111111111000100000000000000000010110000101000010101111000110100010100001001001011000111100010001101001101110000000000000000000000000000011100011000100111000011010010001101010000010010100000001010111001110010010101110000000001000010000111111111000100100000000000000010110000101000010101111000110101010001101001001100000111001010000100001100101000000000000000000000000000011100011000100111000011010010001101010000010011000011001100100001100111010101110000000000010110000111111111000100000000000000000010110000101000010101111000110101001100101001001100000101111001110111010111101000000000000000000000000000010100011000100111000011010010001110010000010011010101001100110001100001010101110000000000010101011111111111000100100000000000000010110000101000010101111000110101001101100001001011000110001001110101000011011000000000000000000000000000011100011000100111000011010010001101010000010011111000001100011001100011010101110000000000010111000111111111000100000000000000000010110000101000010101111000110101001101111001001100000110010001111100001010101000000000000000000000000000011100011000100111000011010010001101010000001000011100001100011001100101010101111000000000010111100111111111000100000000000000000010110000101000010101110000110101001110000001001101000110010010000000000100100000000000000000000000000000011100011000100111000011010010001110010000001001001000001100010001100111010101111000000000010111111111111111000100100000000000000010110000101000010101110000110101001110001001001100000110010001111110010011101000000000000000000000000000010100011000100111000011010010001110010000001001110101001100001001100111010101111000000000011000011111111111000100000000000000000010110000101000010101110000110101001110010001001101000110010010000000000110000000000000000000000000000000011100011000100111000011010010001110010000001010100010001100001001100111010101111000000000011000011111111111000100101000000000000010110000101000010101110000110101001110001001001101000110010010000000010110001000000000000000000000000000010100011000100111000011010010001101010000001011010001001100001001100111010101111000000000011000001111111111000100100000000000000010110000101000010101110000110101001110010001001100000110010001111111000011100000000000000000000000000000011100011000100111000011010010001100010000001011111110001100001001101010010101111000000000011000001111111111000100000000000000000010110000101000010101110000110101001110010001001101000110010001111101010100011000000000000000000000000000010100011000100111000011010010001101010000001000101010001100001001100111010101111000000000011001111111111111000100001000000000000010110000101000010101110000110101001110011001001100000110010010000000000101101000000000000000000000000000011100011000100111000011010010001110010000001001011000001100001001100111010101111000000000011000010111111111000100000000000000000010110000101000010101110000110101001110011001001101000110010001111110010000111000000000000000000000000000010100011000100111000011010010001110010000001010000100001100001001100111010101111000000000011010010111111111000100000000000000000010110000101000010101110000110101001110011001001011000110010010000010000111011000000000000000000000000000011100011000100111000011010010001101010000001010110000001100001001100111010101111000000000011000011111111111000100000000000000000010110000101000010101110000110101001110010001001101000110010010000000010100111000000000000000000000000000010100011000100111000011010010001110010000001011011111001100000001101010010101111000000000011000100111111111000100100000000000000010110000101000010101110000110101001110011001001100000110010001111110000011001000000000000000000000000000011100011000100111000011010010001101010000001000001110001100001001100111010101111000000000011000111111111111000100100000000000000010110000101000010101110000110101001110011001001100000110010010000100010101110000000000000000000000000000011100011000100111000011010010001110010000001000111011001100000001100111010101111000000000011000110111111111000100101000000000000010110000101000010101110000110101001110011001001100000110010010000000000110100000000000000000000000000000011100011000100111000011010010001110010000001001100111001100000001100111010101111000000000011010011111111111000100000000000000000010110000101000010101110000110101001110011001001011000110010010000011010001101000000000000000000000000000011100011000100111000011010010001101010000001010010111001100000001100111010101111000000000011001000111111111000100100000000000000010110000101000010101110000110101001110100001001100000110011001111111010101011000000000000000000000000000010100011000100111000011010010001100010000001011000000001011110001100111010101111000000000011001101111111111000100000000000000000010110000101000010101110000110101001110111001001101000110011010000011010011100000000000000000000000000000010100011000100111000011010010001101010000001011101111001011101001101000010110000000000000011010011111111111000100000000000000000010110000101000010101110000110100001111111001001011000110110010000100000011000000000000000000000000000000010100011000100111000011010010001100010000001000001100001010110001110101010110000000000001000100000111111111000100100000000000000010110000101000010101110000110101010000110001001011000110100010001011011000110000000000000000000000000000011000011000100111000011010010001101010000010000011001001100100001100101010110000000000000010111011111111111000100001000000000000010110000101000010101110000110101001101100001001100000110001001111011010110111000000000000000000000000000010100011000100111000011010010001101010000010000110111001100011001100011010110000000000000010110111111111111000100000000000000000010110000101000010101110000110101001101111001001100000110010001111011000100010000000000000000000000000000010100011000100111000011010010001110010000001001010110001011101001101000010110000000000000011011110111111111000100000000000000000010110000101000010101110000110100010000101001001011000110111010000101000010110000000000000000000000000000011100011000100111000011010010001110010000001001101110001010111001110001010110000000000000011110011111111111000100000000000000000010110000101000010101110000110101010000111001001011000111000010001001001110011000000000000000000000000000011100011000100111000011010010001110010000001010011101001011001001110001010110000000000000011100101111111111000100000000000000000010110000101000010101110000110101001111100001001100000110100010000011010110010000000000000000000000000000010100011000100111000011010010001101010000010011000001001100000001100111010110000000000000011001111111111111000100101000000000000010110000101000010101110000110101001110010001001011000110010001111011000100000000000000000000000000000000011100011000100111000011010010001101010000010011101000001100010001100111010110000000000000011000001111111111000100100000000000000010110000101000010101110000110101001110001001001101000110010001111010010110010000000000000000000000000000010100011000100111000011010010001110010000010000010101001100001001100111010110000000000000011001010111111111000100001000000000000010110000101000010101110000110101001110011001001100000110010001111100000101100000000000000000000000000000010100011000100111000011010010001110010000001001000000001100000001100111010110000000000000011010000111111111000100100000000000000010110000101000010101110000110100001110100001001010000110010010000000000011111000000000000000000000000000011100011000100111000011010010001101010000001001101100001100000001100111010110000000000000011000101111111111000100101000000000000010110000101000010101110000110100001110100001001010000110010010000000001010111000000000000000000000000000011100011000100111000011010010001101010000001010011000001100000001100111010110000000000000011010010111111111000100000000000000000010110000101000010101110000110100001110100001001010000110010010000000010100001000000000000000000000000000011100011000100111000011010010001110010000001011000000001100000001101010010110000000000000011000111111111111000100100000000000000010110000101000010101110000110100001110100001001010000110010010000000010010010000000000000000000000000000011100011000100111000011010010001110010000001011101111001100000001100111010110000000000000011000101111111111000100100000000000000010110000101000010101110000110100001110101001001010000110010010000001010101110000000000000000000000000000010100011000100111000011010010001101010000001000011000001100001001100111010110000000000000010111000111111111000100101000000000000010110000101000010101110000110100001101011001001010000110000001111011010101011000000000000000000000000000011100011000100111000011010010001101010000001001000010001100011001100101010110000000000000010111111111111111000100000000000000000010110000101000010101110000110100001101101001001010000110000001111110000101111000000000000000000000000000011100011000100111000011010010001110010000001001110000001100010001100011010110000000000000011000100111111111000100000000000000000010110000101000010101110000110011001110000001001001000110001010000010000110010000000000000000000000000000011100011000100111000011010010001101010000001010011100001100001001100011010110000000000000011001001111111111000100101000000000000010110000101000010101110000110011001110010001001011000110001010000000001100000000000000000000000000000000010100011000100111000011010010001101010000001011001001001011111001100111010110000000000000011010110111111111000100001000000000000010110000101000010101110000110011010000110001001001000110111010001000001001011000000000000000000000000000010100011000100111000011010010001100010000001011100000001010110001110010010110000000000001000001000111111111000100100000000000000010110000101000010101110000110011010001110001001001000111000010001111000011110000000000000000000000000000011100011000100111000011010010001101010000010000000101001010110001110010010110000000000001000001101111111111000100000000000000000010110000101000010101110000110011010001100001001010000111000010001011010101001000000000000000000000000000011100011000100111000011010010001110010000010000110011001010110001110010010110001000000000011111000111111111000100000000000000000010110000101000010101110000110011010001010001001001000110111010000110001000011000000000000000000000000000011100011000100111000011010010001100010000011001100000001010111001101110010110001000000000011111001111111111000100000000000000000010110000101000010101110000110100010000111001001010000110110010000001000111101000000000000000000000000000010100011000100111000011010010001110010000011010001101001011010001101100010110001000000000011011111111111111000100001000000000000010110000101000010101110000110011001111111001001011000110100001111111010010100000000000000000000000000000010100011000100111000011010010001110010000011010111001001011011001101100010110001000000000011100111111111111000100000000000000000010110000101000010101111000110100001111101001001011000110100010000000010101010000000000000000000000000000011100011000100111000011010010001110010000011011100011001011011001101100010110001000000000011010101111111111000100000000000000000010110000101000010101111000110100001111101001001010000110100010000000010100110000000000000000000000000000010100011000100111000011010010001101010000011000001100001011110001100111010110001000000000011001011111111111000100000000000000000010110000101000010101111000110100001110101001001001000110010001111100010000101000000000000000000000000000011100011000100111000011010010001101010000011000110110001100000001100111010110001000000000011010000111111111000100100000000000000010110000101000010101111000110100001110101001001001000110010001111001000110000000000000000000000000000000011100011000100111000011010010001110010000011001100000001011111001100111010110001000000000011010001111111111000100000000000000000010110000101000010101111000110100001110111001001011000110010001111101000110000000000000000000000000000000010100011000100111000011010010001110010000010010001101001011110001100111010110001000000000011001010111111111000100001000000000000010110000101000010101111000110011001110110001001011000110010001111110010100110000000000000000000000000000010100011000100111000011010010001101010000010010111011001011110001100111010110001000000000011001000111111111000100100000000000000010110000101000010101111000110011001110111001001001000110011001111110010011111000000000000000000000000000011100011000100111000011010010001101010000010011100100001011011001101100010110001000000000011101000111111111000100000000000000000010110000101000010101111000110100001111111001001001000110101010000110000110101000000000000000000000000000011100011000100111000011010010001101010000010000010000001011010001101100010110001000000000011101010111111111000100100000000000000010110000101000010101111000110011010000000001001001000110101010000100000100111000000000000000000000000000010100011000100111000011010010001101010000010000111110001011010001101100010110001000000000011100001111111111000100000000000000000010110000101000010101111000110100010000001001001100000110110010000011000110010000000000000000000000000000010100011000100111000011010010001101010000011001011011001010110001110101010110001000000001000010011111111111000100000000000000000010110000101000010101111000110100010001111001001011000111001010001010010101001000000000000000000000000000010100011000100111000011010010001101010000011010000001001010111001110010010110001000000000011111111111111111000100100000000000000010110000101000010101111000110100010001101001001011000111000010000011010101011000000000000000000000000000010100011000100111000011010010001110010000100010101011001010111001110010010110001000000001011111010111111111000100100000000000000010110000101000010101111000110100010001110001001100000111001010000110010101101000000000000000000000000000010100011000100111000011010010001110010000100011010111001011000001101110010110001000000000011100010111111111000100101000000000000010110000101000010101111000110100001111101001001011000110100001111101010110110000000000000000000000000000010100011000100111000011010010001100010000100011111001001011011001101000010110001000000000011010010111111111000100100000000000000010110000101000010101111000110100001111100001001011000110100001111010010010111000000000000000000000000000011100011000100111000011010010001101010000100000100111001011011001101100010110001000000000011010100111111111000100000000000000000010110000101000010101111000110100001111100001001010000110011001111010010101100000000000000000000000000000010100011000100111000011010010001101010000011001010100001100000001100111010110001000000000001010111111111111010100000000000000000010110001001000010101111000110100000101111001001011000011001001110010011010001000000000000000000000000000011000001000100111000011010010001110001111000001011101000110100000000000010110001000000000001000011111111111010100000000000000000010110000101100010101111000110010000100011001001001000011001001101000011000010000000000000000000000000000010100001000100111000011010010001101001111000001011110000110100000000000010110001000000000000111101111111111010100001000000000000010110000101000010101111000110010000100011001000110000011001001101110000001001000000000000000000000000000010000001000100111000011010010001110001111000001011110000110100000000000010110001000000000000111110111111111010100001000000000000010110000101000010101111000110000000100101001000101000011001001110110000010000000000000000000000000000000011100001000100111000011010010001110001111000001100011000110100000000000010110010000000000001000010111111111010100100000000000000010110000101000010101111000101111000100111001000011000011001001111000010111011000000000000000000000000000011100001000100111000011010010001101001111000001100111000110100000000000010110010000000000001000010111111111010100100000000000000010110000101000010101111000101110000101010001000010000011001001110001000101001000000000000000000000000000010100001000100111000011010010001110001111000001101001000110100000000000010110010000000000001000011111111111010100100000000000000010110000101000010101111000101100000101100001000000000011001001110011010111000000000000000000000000000000011000001000100111000011010010001101001111000001101100000110100000000000010110001000000000001000001111111111010100000000000000000010110000101000010101111000101011000101110000111110000011001001110000000010111000000000000000000000000000010100001000100111000011010010001110001111000001110001000110100000000000010110010000000000001000101111111111010100000000000000000010110000101000010101111000101010000101111000111101000011001001101110011000000000000000000000000000000000011000001000100111000011010010001101001111000001110100000110100000000000010110010000000000001000101111111111010100000000000000000010110000101000010101111000101001000110000000111010000011001001101101001101000000000000000000000000000000011100001000100111000011010010001110001111000001111010000110100000000000010110010000000000001000011111111111010100000000000000000010110000101000010101111000101000000110010000111010000011001001101011011000000000000000000000000000000000011100001000100111000011010010001101001111000001111111000110100000000000010110010000000000001000110111111111010100100000000000000010110000101000010101111000100111000111100000111001000011100001101001010011101000000000000000000000000000011100001000100111000011010010001110001111000010000011000110100000000000010110010000000000001010101111111111010100000000000000000010110000101000010101111000100110000111111000110110000011100001100110011000101000000000000000000000000000011100001000100111000011010010001101001111000010000111000110100000000000010110001000000000001010101111111111010100100000000000000010110000101000010101111000100110001000000000110111000011100001100011000110110000000000000000000000000000011100001000100111000011010010001110001111000010001100000110100000000000010110001000000000001010110111111111010100000000000000000010110000101000010101111000100110001000000000110110000011100001100011001010011000000000000000000000000000011100001000100111000011010010001101001111000010011010000110100000000000010110001000000000001010110111111111000100100000000000000010110000101000010101111000100101001001101000110110000100001001100100000010011000000000000000000000000000011100011000100111000011010010001110010000011010100101001011100000000000010110001000000000001111011111111111000100000000000000000010110000101000010110000000100110001100001000110101000100110001101100000001001000000000000000000000000000010000011000100111000011010010001110010000011010110000001011111001011011010110001000000000010110000111111111000100000000000000000010110000101000010110000000100111001101101000110111000101001001111001000100001000000000000000000000000000010100011000100111000011010010001101010000010011000000001011111001011101010110001000000000010110011111111111000100100000000000000010110000101000010110000000101000001101010000111010000101001010000001001110000000000000000000000000000000010100011000100111000011010010001101010000010011100000001100000001011001010110001000000000010101110111111111000100000000000000000010110000101000010110000000101001001101000000111011000101001001111111010000111000000000000000000000000000011100011000100111000011010010001110010000010000000100001100001001011001010110001000000000010100010111111111000100001000000000000010110000101000010110000000101001001101001000111101000101001001111100000100100000000000000000000000000000011100011000100111000011010010001110010000010000100110001100000001011001010110001000000000010101101111111111000100000000000000000010110000101000010110000000101001001101010000111011000101001001111010000101010000000000000000000000000000010100011000100111000011010010001101010000001001000010001010110001100111010110001000000000011110010111111111000100100000000000000010110000101000010110000000101001010011111000111011000110101010000100000001000000000000000000000000000000010000011000100111000011010010001010010000001001000010001010000001101100010110001000000001000100001111111111000100100000000000000010110000101000010110000000101001010100011000111010000110110010010011001010111000000000000000000000000000010100011000100111000011010010001110010000001001001011001001110001101110010110001000000001001000001111111111000100100000000000000010110000101000010110000000101001010100110000110101000111000010010110000101110000000000000000000000000000010100011000100111000011010010001011010000010001101001001001100001110001010110001000000001000101111111111111000100100000000000000010110000101000010101111000101000010101010000111100000111000010010101000110000000000000000000000000000000011100011000100111000011010010001101010000010010000001001001110001101110010110001000000001000110001111111111000100100000000000000010110000101000010101111000101000010101000000111011000110111010010101000101010000000000000000000000000000011100011000100111000011010010001110010000011010100100001001100001101110010110001000000001000101110111111111000100100000000000000010110000101000010101111000101000010100110000111001000110111010010111001001100000000000000000000000000000011100011000100111000011010010001110010000011011000100001010000001101110010110001000000001000010110111111111000100100000000000000010110000101000010101111000101001010011010000111001000110010010010000010101010000000000000000000000000000011100011000100111000011010010001110010000100011100011001011110001011111010110001000000000010110011111111111000100000000000000000010110000101000010101111000101001001100101000111001000101000010000101011001101000000000000000000000000000011000011000100111000011010010001110010000100011100011001100001001011001010110001000000000010100001111111111000100000000000000000010110000101000010101111000101000001100110000111001000101001001110101001011001000000000000000000000000000011100011000100111000011010010001110010000011011110001001011011001100001010110001000000000011001010111111111000100100000000000000010110000101000010101111000101000001111111000111011000101101001111010000100001000000000000000000000000000010100011000100111000011010010001110010000011000001000001011000001100011010110001000000000011000011111111111000100000000000000000010110000101000010101111000101000001101100000111001000100111001111110010111100000000000000000000000000000011100011000100111000011010010001110010000011000011011001100001001011001010110001000000000010011000111111111000100000000000000000010110000101000010101111000101000001100011000110111000100111001111000000100011000000000000000000000000000010100011000100111000011010010001101010000011000111000001100010001011001010110001000000000010100010111111111000100100000000000000010110000101000010101111000100111001100011000111001000100111001111000000111010000000000000000000000000000010100011000100111000011010010001110010000010001010001001100100001011000010110001000000000001111111111111111000100000000000000000010110000101000010101111000100111001010101000111001000100011001110010001110010000000000000000000000000000011100011000100111000011010010001110010000010001100001001100100001011000010110001000000000010000100111111111000100001000000000000010110000101000010101111000100111001100000000110110000100110001110001000010001000000000000000000000000000010100011000100111000011010010001110010000010001110100001011101001011101010110001000000000011000000111111111000100100000000000000010110000101000010101111000100111001111100000110110000101100001111110000011101000000000000000000000000000010100011000100111000011010010001110010000001010000000001011001001100011010110001000000000011010101111111111000100000000000000000010110000101000010101111000100111001111111000110110000101100010000110010100010000000000000000000000000000010100011000100111000011010010001110010000001010011011001011101001011111010110001000000000010010111111111111000100101000000000000010110000101000010101111000100111001010011000110111000100001010000010011001000000000000000000000000000000011000011000100111000011010010001101010000001010100001001100101001011000010110001000000000001111100111111111000100100000000000000010110000101000010101111000100110001010011000110110000100010001110100000101010000000000000000000000000000011100011000100111000011010010001100010000001010110110001100011001011000010110001000000000010000100111111111000100000000000000000010110000101000010101111000100110001010101000110111000100010001110100010100001000000000000000000000000000011100011000100111000011010010001101010000000011010011001100010001011000010110001000000000010000101111111111000100000000000000000010110000101000010101111000100110001011000000110111000100011001110011010001110000000000000000000000000000010100011000100111000011010010001101010000000011101100001011011001100001010110001000000000011000111111111111000100100000000000000010110000101000010101111000100110010000010000111000000101101010000111000100010000000000000000000000000000011100011000100111000011010010001100010000000011111011001010111001100011010110001000000000011010000111111111000100000000000000000010110000101000010101111000100110010000000000110110000101100010010000010011000000000000000000000000000000010100011000100111000011010010001010010000000000011011001011000001100011010110001000000000011010011111111111000100100000000000000010110000101000010101111000100110001111110000110110000101100010001101010100000000000000000000000000000000010100011000100111000011010010001010010000001000111101001011001001100011010110001000000000011001011111111111000100100000000000000010110000101000010101111000100111001111101000110111000101100010000111010010111000000000000000000000000000010100011000100111000011010010001111010000001001011111001011000001100001010110000000000000011001011111111111000100000000000000000010110000101000010101111000100111001111101000110111000101100010001011001110011000000000000000000000000000011100011000100111000011010010001001010000010010000001001011001001100011010110001000000000011010001111111111000100100000000000000010110000101000010101111000100111001011110000111001000100100010000010011000000000000000000000000000000000011000011000100111000011010010001110010000010010001101001100011001011000010110000000000000010000010111111111000100100000000000000010110000101000010101111000100111001010110000111000000100011001110011010100110000000000000000000000000000011100011000100111000011010010001110010000010010011111001100011001011000010110000000000000001111001111111111000100001000000000000010110000101000010101111000100111001000010000110111000011001001101110011000110000000000000000000000000000011000001000100111000011010010001101001111000010101101000110100000000000010110000000000000001001010111111111010100100000000000000010110000101000010101111000100110000110111000110110000011001001101001011000001000000000000000000000000000011000001000100111000011010010001110001111000010110001000110100000000000010110001000000000001001101111111111010100100000000000000010110000101000010101111000100101000110111000110101000011001001101001000001111000000000000000000000000000011100001000100111000011010010001110001111000010110100000110100000000000010110001000000000001001100111111111010100000000000000000010110000101000010110000000100100000111000000110101000011001001101001010110011000000000000000000000000000011000001000100111000011010010001111001111000010110101000110100000000000010110001000000000001001110111111111010100000000000000000010110000101000010110000000100100000111010000110011000011001001100110000101001000000000000000000000000000010100001000100111000011010010001110001111000010111111000110100000000000010110000000000000001010010111111111010100000000000000000010110000101000010110000000100011000111100000110001000011001001100110000101000000000000000000000000000000011100001000100111000011010010001101001111000011000110000110100000000000010110000000000000001111110111111111000100000000000000000010110000101000010110000000100011001001111000110000000011110010000000011000010000000000000000000000000000011000000000100111000011010010001110010000010011001001001010111000000000010110000000000000001111100111111111000100100000000000000010110000101000010110000000100010001010000000110010000011110001110001011000100000000000000000000000000000011000010000100111000011010010001110010000010011001001001010110000000000010110000000000000001110010111111111000100100000000000000010110000101110010110000000100010001001001000110011000011001001100100010110100000000000000000000000000000010100001000100111000011010010001101001111000011001011000110100000000000010110000000000000001001100111111111010100101000000000000010110000110100010110000000100001000110111000111000000011001001100100010110001000000000000000000000000000010100001000100111000011010010001101001111000011001110000110100000000000010110000000000000001011101111111111010100000000000000000010110000101000010110000000011101001000010000101100000011001010000010000100000000000000000000000000000000010100000000100111000011010010001101001111000011010011000110100000000000010110000000000000001011100111111111010100000000000000000010110000101000010110000000011001000111110000101111000011001001111111011001010000000000000000000000000000011000000000100111000011010010001101001111000011010011000110100000000000010110000000000000001011001111111111010100100000000000000010110000101000010110000000010110001000000000101110000011001001111010000100100000000000000000000000000000010100000000100111000011010010001101001111000011010111000110100000000000010110000000000000001011001111111111000100000000000000000010110000101000010110000000010101001111010000111010000110000001111111000011000000000000000000000000000000010100011000100111000011010010001110010000010011011110000111111001100111010110000000000001000111101111111111000100000000000000000010110000101000010110000000010110010111100000101100000110110010000100000101000000000000000000000000000000011100000000100111000011010010001101010000010011101000000101100001101010010110000000000001001010111111111111000100100000000000000010110000110000010110000000011000001110111000110100000011001010001001011001011000000000000000000000000000011000001000100111000011010010001110001111000011101111001100111001011001010101111000000000010011110111111111000100100000000000000010110000110100010110000000011001001100011001000101000101011001111111000100110000000000000000000000000000010100011000100111000011010010001110010000010011111001001101001001011101010101111000000000010101010111111111000100001000000000000010110000101000010110000000011010001110110001000111000110001010000101000111010000000000000000000000000000011100011000100111000011010010001110010000010000001101001011111001100111010101111000000000011000110111111111000100000000000000000010110000101000010110000000011011001110011001001011000110010010000000010011010000000000000000000000000000011100011000100111000011010010001100010000010000111011001100011001101000010101111000000000011000000111111111000100001000000000000010110000101000010110000000011100001101101001001101000110010001111110000111100000000000000000000000000000011100011000100111000011110010001110010000010001011001001101000001100111010101110000000000010110011111111111000100000000000000000010110000101000010110000000011101001001101001001111000101010001110110011001010000000000000000000000000000011000001000100111000011110010001110010000010001100101001110001001011001010101110000000000001100101111111111000100100000000000000010110000101000010110000000011101001001010001010000000101100001101100000010100000000000000000000000000000010000001000100111000011110010001110010000010001101000001101110001100101010101110000000000010110011111111111000100000000000000000010110000101000010110000000011110001100011001010010000110010001111001010011010000000000000000000000000000010100011000100111000011110010001101010000010001110101001101101001100101010101110000000000010110100111111111000100100000000000000010110000101000010101111000011111001100000001010101000110010001110100010011110000000000000000000000000000011100011000100111000011110010001101010000001010000010001101111001100101010101110000000000010101010111111111000100001000000000000010110000101000010101111000011111001011110001010110000101111001110010010111000000000000000000000000000000010100011000100111000011110010001110010000001010001111001110010001011001010101101000000000001100001111111111000100100000000000000010110000101000010101111000100000000111010001010111000101000001100001000100000000000000000000000000000000011100001000100111000011110010001110010000001010010100001110010001011101010101101000000000001100111111111111000100000000000000000010110000101000010101111000011111000111011001010101000101000001101000010100101000000000000000000000000000010100001000100111000011110010001101010000001010011111001110010001011001010101101000000000001100001111111111000100100000000000000010110000101000010101111000011111000111011001010110000101000001100111001000011000000000000000000000000000011100001000100111000011110010001101010000001010101000001110010001011101010101101000000000001100011111111111000100101000000000000010110000101000010101111000011111000111100001010100000101001001100111001101010000000000000000000000000000010100001000100111000011110010001101010000001010110101001110010001011101010101101000000000001101011111111111000100000000000000000010110000101000010101111000011111000111100001010100000101000001101001000010101000000000000000000000000000011100001000100111000011110010001110010000001010111110001110010001011101010101101000000000001100101111111111000100100000000000000010110000101000010101110000011111000111100001010011000101001001101011001111110000000000000000000000000000010100001000100111000011110010001101010000001011000100001110010001011101010101101000000000001100110111111111000100101000000000000010110000101000010101110000011111000111100001010011000101001001101110010001111000000000000000000000000000010100001000100111000011110010001110010000001011010001001110010001011101010101101000000000001110001111111111000100100000000000000010110000101000010101110000011111001000001001010011000101010001101101000110110000000000000000000000000000011100001000100111000011110010001101010000001011011110001110010001011101010101101000000000001110110111111111000100100000000000000010110000101000010101110000011111001000001001010101000101010001101111001111110000000000000000000000000000011100001000100111000011110010001110010000001011110101001110010001011101010101101000000000001111000111111111000100100000000000000010110000101000010101110000011111001000100001010100000101011001110001000011010000000000000000000000000000011100001000100111000011110010001110010000001000000100001110010001011111010101101000000000001111110111111111000100100000000000000010110000101000010101110000011111001011100001010101000110010001111001000110001000000000000000000000000000010000011000100111000011110010001101010000001000001001001101110001100101010101101000000000010101100111111111000100000000000000000010110000101000010101110000100000001100101001011000000110110001111010000110010000000000000000000000000000010100011000100111000011110010001101010000001000010010001101011001101100010101101000000000011000110111111111000100101000000000000010110000101000010101110000100001001101101001011010000110111001111001010100010000000000000000000000000000010100011000100111000011110010001101010000000000011010001110000001101100010101100000000000010111001111111111000100100000000000000010110000101000010101110000100010001101010001011111000110111001110111010011100000000000000000000000000000011100011000100111000011110010001100010000000000110101001110010001101000010101100000000000010111101111111111000100000000000000000010110000101000010101110000100011001010100001100000000110001001101111011000011000000000000000000000000000011000011000100111000011110010001101001111111000110111001110010001100011010101100000000000001111010111111111000100100000000000000010110000101000010101110000100011001001010001100001000101110001100100000010111000000000000000000000000000011100001000100111000011110010001101001111111001000011001101011001011001010101100000000000001001101111111111000100000000000000000010110000101000010101110000100011000101100001100000000100101001011011000010111000000000000000000000000000010000001000100111000011110010001101001111111001000101001100110001011001010101100000000000001010010111111111000100100000000000000010110000101000010101110000100010000101101001011110000100101001100011000010111000000000000000000000000000010000001000100111000011110010001101001111111001001000001110010001011111010101100000000000001110001111111111000100100000000000000010110000101000010101110000100010001000111001011101000101101001110001010011111000000000000000000000000000010100001000100111000011110010001110001111111001010101001110010001011111010101100000000000001111000111111111000100100000000000000010110000101000010101110000100010001000111001011101000101101001110010001001011000000000000000000000000000011100001000100111000011110010001101001111111001100000001110010001011111010101100000000000001111001111111111000100000000000000000010110000101000010101111000100010001001000001011110000101110001110001000111011000000000000000000000000000010100001000100111000011110010001101001111111001110101001110010001011111010101100000000000001101010111111111000100000000000000000010110000101000010101111000100010000101010001011111000011111001101011011000111000000000000000000000000000011000001000100111000011110010001101001111111001110111001001111000000000010101100000000000001000000111111111000100100000000000000010110000101000010101111000100001000100000001011010000011110001011001000010100000000000000000000000000000011100001000100111000011110010001101001111111001111010001001111000000000010101100000000000000000000111111111010100100000000000000010110000101000010101111000100000000100010001000100000011001010000001000000101000000000000000000000000000010000001000100111000011010010001100001111000001111100000110100000000000010101100000000000001011001111111111010100000000000000000010110000101000010101111000011111000111111000101110000011001001111111011000111000000000000000000000000000011000000000100111000011010010001101001111000001111101000110100000000000010101100000000000001011001111111111010100000000000000000010110000101000010101111000011101001000000000101110000011001001111000011001000000000000000000000000000000011000000000100111000011010010001101001111000001111101000110100000000000010101100000000000001011001111111111010100100000000000000010110000101000010101111000011011000111111000101111000011001001110101011000101000000000000000000000000000011100000000100111000011010010001100001111000010001000000110100000000000010101100000000000001010111111111111010100100000000000000010110000101000010101111000011001000111110000101110000011001001110010010111101000000000000000000000000000010100000000100111000011010010001100001111000010001010000110100000000000010101100000000000001011000111111111010100000000000000000010110000101000010110000000011001000111110000101110000011001001110010000111110000000000000000000000000000010100000000100111000011010010001110001111000010010001000110100000000000010101100000000000001010110111111111010100000000000000000010110000101000010110000000011001000111101000110000000011001001110000001110011000000000000000000000000000011100000000100111000011010010001101001111000010010011001010110000000000010101100000000000001111010111111111000100000000000000000010110000101000010110000000011010001000111001000111000100110001110001010001011000000000000000000000000000010100001000100111000011010010001110001111111010100010001110000001011001010101100000000000001110000111111111000100100000000000000010110000101000010110000000011010000111011001000111000100011001110001010110111000000000000000000000000000011000001000100111000011010010001101001111111010110011001110001001011001010101100000000000010001010111111111000100100000000000000010110000101000010110000000011010001101000001000111000110000010000011000001101000000000000000000000000000010000011000100111000011010010001110001111111010111011001100100001100001010101011000000000010010010111111111000100000000000000000010110000101000010110000000011010001001010001000110000101000010000001010111101000000000000000000000000000011000001000100111000011010010001110001111111011000111001110000001011011010101011000000000001111111111111111000100100000000000000010110000101000010110000000011001001000001001000101000011011001111011011000100000000000000000000000000000011000001000100111000011010010001110001111000011011001000110100000000000010101011000000000001000001111111111010100100000000000000010110000101000010110000000011000000101100001000001000011010001110011010111100000000000000000000000000000010100001000100111000011010010001101001111000011011101000110100000000000010101011000000000001001111111111111000100000000000000000010110000101000010110000000010111001001010000111110000100011001110111000101000000000000000000000000000000011100001000100111000011010010001101001111111011100110001011110001011001010101011000000000010101010111111111000100100000000000000010110000101000010110000000010111001111001001000001000101111010000100000001111000000000000000000000000000010000011000100111000011010010001110001111111011100110001011010001101000010101010000000000011011011111111111000100100000000000000010110000101000010110000000011000001111010001000100000110000010001111010100110000000000000000000000000000011100011000100111000011010010001101001111111011111011001011111001100011010101010000000000011000111111111111000100000000000000000010110000101000010110001000011010001110001001000111000110000010001000000111111000000000000000000000000000010100011000100111000011010010001110010000000000011110001010110001110001010101010000000001000001001111111111000100100000000000000010110000101000010110001000011011010010011001001100000111011010001111000110000000000000000000000000000000011100011000100111000011110010001101010000000000110100001010110001111000010101001000000001011111100111111111000100100000000000000010110000101000010110001000011110001110101001010001000110101010001000011000010000000000000000000000000000011000011000100111000011110010001100010000000000111111001101100001100011010101000000000000010101000111111111000100000000000000000010110000101000010110001000011111001011110001010101000110001001110100010010011000000000000000000000000000011000011000100111000011110010001101010000000001000111001110001001011111010101000000000000001011100111111111000100100000000000000010110000101000010110001000011111000110000001010101000100100001100110010111100000000000000000000000000000011000001000100111000011110010001110010000000001001000001101101001011001010101000000000000001011110111111111000100100000000000000010110000101000010110001000011111000110110001010011000100110001100101001001111000000000000000000000000000010100001000100111000011110010001110010000000001001100001110001001011111010101000000000000010000111111111111000100000000000000000010110000101000010110001000011111001010111001010101000110000001101110001000110000000000000000000000000000010000011000100111000011110010001100010000000001010110001110000001100011010101000000000000010011101111111111000100100000000000000010110000101000010110001000011111001010111001010110000110000001111001010011110000000000000000000000000000011000011000100111000011110010001110010000000001100000001110000001100011010101000000000000010010101111111111000100100000000000000010110000101000010110001000100000001000011001010110000101010001110100010011010000000000000000000000000000011000001000100111000011110010001101001111111001101001001110001001011101010101000000000000001011100111111111000100100000000000000010110000101000010110001000011111000110110001010101000100111001100111010011000000000000000000000000000000010100001000100111000011110010001110001111111001110001001110001001011001010101000000000000001100010111111111000100100000000000000010110000101000010110001000011111000110111001010100000100111001101100010101010000000000000000000000000000010100001000100111000011110010001101001111111001111101001110001001011001010101000000000000001100100111111111000100101000000000000010110000101000010110001000011110000111000001010011000100111001101101000011110000000000000000000000000000011100001000100111000011110010001110001111111010001010001110001001011001010101000000000000001100101111111111000100100000000000000010110000101000010110001000011110000111110001010011000101000001110011010001000000000000000000000000000000010100001000100111000011110010001101001111111010011100001110001001011101010101000000000000001101011111111111000100100000000000000010110000101000010110001000011110000111111001010010000101000001110000001011010000000000000000000000000000011100001000100111000011110010001110001111111010101110001110001001011001010101000000000000001101011111111111000100000000000000000010110000101000010110001000011110000111111001010010000101000001110001000111011000000000000000000000000000011100001000100111000011110010001101001111111010111000001110001001011101010101000000000000001101010111111111000100100000000000000010110000101000010110001000011110000111110001010001000101000001101111001001100000000000000000000000000000010100001000100111000011110010001100001111111011010101001110001001011001010101000000000000001100110111111111000100101000000000000010110000101000010110001000011101000111100001010000000100111001101100000100010000000000000000000000000000011100001000100111000011110010001100001111111011011111001110001001011001010101000000000000001101011111111111000100100000000000000010110000101000010110001000011110000111100001010000000100111001110000010000111000000000000000000000000000010100001000100111000011110010001101001111111011101100001110001001011001010101000000000000001101101111111111000100100000000000000010110000101000010110001000011110000111100001010000000100111001110001000011110000000000000000000000000000011100001000100111000011010010001101001111000011110010000110011000000000010101000000000000000111110111111111010100100000000000000010110000101000010110001000011101000111000000110010000011001010000000000111111000000000000000000000000000011100000000100111000011010010001101001111000011110011000110011000000000010101000000000000001011011111111111010100000000000000000010110000101000010110001000011101001000000000101110000011001001111100010111101000000000000000000000000000010100000000100111000011010010001100001111000011110101000110011000000000010101000000000000001011011111111111010100000000000000000010110000101000010110001000011100000111111000101111000011001001111001010111011000000000000000000000000000011000000000100111000011010010001100001111000011110101000110011000000000010101000000000000001010111111111111010100000000000000000010110000101000010110001000011010001000000000110000000011001001110100011000110000000000000000000000000000010100000000100111000011010010001100001111000011111001000110011000000000010101000000000000001011000111111111010100000000000000000010110000101000010110001000011010000111111000101111000011001001110100011001011000000000000000000000000000011000000000100111000011010010001110001111000011111111000110011000000000010101000000000000001010101111111111010100000000000000000010110000101000010110001000011010001000000000101101000011001001101110000010001000000000000000000000000000010100000000100111000011010010001100001111000000000000000110011000000000010101000000000000001011001111111111010100100000000000000010110000101000010110010000010111000111110000101111000011001001110000010111001000000000000000000000000000011000000000100111000011010010001011001111000000000100000110011000000000010101000000000000001010110111111111010100000000000000000010110000101000010110010000010011001000000000101110000011001001101110000001111000000000000000000000000000010100000000100111000011010010001100001111000000001011000110011000000000010101000000000000001010011111111111010100000000000000000010110000101000010110010000001111001000001000101110000011001001101110001100010000000000000000000000000000010100000000100111000011010010001100001111000000001110000110011000000000010101000000000000001010111111111111010100000000000000000010110000101000010110010000001100000111110000101110000011001001101110000011010000000000000000000000000000010100000000100111000011010010001100001111000000010100000110011000000000010101000000000000001010011111111111010100100000000000000010110000101000010110010000001000000111111000101101000011001001101110000001110000000000000000000000000000010100000000100111000011010010001100001111000000011000000110011000000000010101000000000000001011000111111111010100100000000000000010110000101000010110010000000101000111110000101110000011001001110001010111110000000000000000000000000000010100000000100111000011010010001100001111000000011010000110011000000000010100111000000000001011000111111111010100000000000000000010110000101000010110010000000010000111111000101111000011001001110001010111001000000000000000000000000000010100000000100111000011010010001011001111000000011110000110011000000000010100111000000000001010110111111111010100000000000000000010110000100110010110010000000000001000000000101100000011001001110010000001010000000000000000000000000000010100000000100110000011010010001011001111000000100010000110011000000000010100111000000000001010101111111111010100000000000000000010110000100100010110010000000000000111111000101011000011001001110100010100110000000000000000000000000000011100000000100111000011010010001100001111000000101001000110011000000000010100111000000000001010111111111111010100100000000000000010110000100011010110010000000000001000001000101010000011001001110100010010010000000000000000000000000000011100000000100101000011010010001011001111000000101110000110011000000000010100111000000000001010101111111111010100000000000000000010110000100010010110010000000000001000001000101000000011001001110100000100000000000000000000000000000000011100000000100110000011010010001100001111000000110011000110011000000000010100111000000000001010111111111111010100000000000000000010110000100001010110010000000000001000000000101001000011001001110100010101000000000000000000000000000000010100000000100110000011010010001011001111000000110111000110011000000000010100111000000000001010101111111111010100100000000000000010110000100001010110010000000000001000110000100110000011001001110100000001010000000000000000000000000000010100010000100100000011010010001101001111000000111001000110011000000000010100111000000000010000010111111111000100000000000000000010110000100111010110011000000000001010111000111011000100111001110100000010000000000000000000000000000000010000011000100101000011010010001101001111111000111010001000100001100101010100110000000001000000000111111111000100100000000000000010110000100111010110011000000010010001111001000001000110011010001100001000011000000000000000000000000000010100011000100101000011010010001101001111111001000000001010001001101110010100110000000001011111100111111111000100100000000000000010110000100111010110011000001001010001110001001101000111010010010001010110100000000000000000000000000000011100011000100101000011110010001100001111111001001001001101000001101111010100101000000000011010001111111111000100100000000000000010110000100111010110011000001110001101000001101000000111010001111110010110110000000000000000000000000000011000011000100101000011110010001100001111111001001011001110101001101110010100100000000000010100010111111111000100100000000000000010110000110111010110011000010001000100010001110001000011001001110000000011010000000000000000000000000000010000001000100101000011010010001100001111111001010111001000111001101111010100100000000001000110011111111111000100000000000000000010110000101111010110011000010011010100100001010001001000001010001001010110111000000000000000000000000000010100011000100101000011010010001100001111111001011100001011000010000000010100010000000001000100101111111111000100100000000000000010110000100111010110011000010110010001101001011111001000001010001110010100110000000000000000000000000000011100011000100101000011110010001100001111111001110100001100011001111001010100010000000000001011110111111111010100100000000000000010110001000111010110010000011001000100001001010101000011001010000001011000101000000000000000000000000000011000001000100101000011010010001101001111000001110101000110011000000000010100001000000000001001000111111111010100100000000000000010110000100111010110010000011000000110100000110011000011001001111001011001110000000000000000000000000000011000000000100101000011010010001011001111000001110101000110011000000000010100001000000000001011000111111111010100100000000000000010110000100111010110010000011000001000000000101101000011001001111010011000110000000000000000000000000000011000000000100101000011010010001100001111000001110101000110011000000000010100001000000000001011000111111111010100100000000000000010110000100111010110010000010111000111101000101111000011001001110100011001100000000000000000000000000000011000000000100101000011010010001011001111000001110101000110011000000000010100010000000000001011000111111111010100000000000000000010110000100111010110010000010110000111111000101110000011001001110001001111011000000000000000000000000000010100000000100101000011010010001011001111000001111011000110011000000000010100010000000000001011010111111111010100000000000000000010110000100111010110010000010001000111110000101111000011001001110001011001000000000000000000000000000000011000000000100101000011010010001011001111000010000001000110011000000000010100010000000000001010100111111111010100000000000000000010110000100111010110010000001101001000000000101110000011001001101110000010001000000000000000000000000000010100000000100101000011010010001011001111000010000111000110011000000000010100010000000000001010100111111111010100001000000000000010110000100111010110010000001001001000000000101110000011001001101110000001110000000000000000000000000000011100000000100101000011010010001100001111000010001001000110010000000000010100010000000000001010111111111111010100100000000000000010110000100111010110011000000111001000000000101101000011001001101111010111111000000000000000000000000000011100000000100101000011010010001100001111000010001100000110010000000000010100001000000000001010101111111111010100000000000000000010110000100111010110011000000100001000001000101101000011001001101111010011001000000000000000000000000000011100000000100101000011010010001011001111000010010111000110010000000000010100001000000000001010101111111111010100100000000000000010110000100111010110011000000011001000001000101100000011001001101111000100100000000000000000000000000000010000000000100100000011010010001100001111000010011000000110010000000000010100001000000000001010110111111111010100100000000000000010110000100110010110011000000000000111111000101101000011001001110110010110000000000000000000000000000000011100000000100110000011010010001011001111000010011001000110010000000000010100001000000000001011000111111111010100100000000000000010110000100100010110011000000000000111110000101010000011001001110110010110101000000000000000000000000000011100000000100111000011010010001011001111000010100010000110010000000000010100001000000000001011001111111111010100000000000000000010110000100100010110100000000000001000010000101011000011001001111000001101100000000000000000000000000000011100000000100111000011010010001011001111000010100101000110010000000000010100001000000000001010110111111111010100100000000000000010110000100011010110100000000000001000110000100101000011001001111001000001111000000000000000000000000000011100000000100101000011010010001010001111000010100111000110010000000000010100001000000000001010110111111111010100100000000000000010110000100011010110100000000000001000000000101010000011001001110110010111101000000000000000000000000000011000000000100100000011010010001010001111000010101000000110010000000000010100001000000000001011001111111111010100000000000000000010110000100010010110100000000000001000000000101010000011001001110100000100100000000000000000000000000000010100000000100100000011010010001011001111000010101010000110010000000000010100001000000000001011001111111111010100100000000000000010110000100010010110100000000000001000011000101001000011001001110100010110101000000000000000000000000000010100000000100100000011010010001010001111000010101110000110010000000000010100001000000000001011101111111111010100000000000000000010110000100010010110100000000000001001001000101000000011001001110110010100010000000000000000000000000000011100000000100100000011010010001011001111000010110001000110010000000000010100001000000000001011000111111111010100000000000000000010110000100010010110100000000000001000100000101001000011001001110110000100111000000000000000000000000000011100000000100100000011010010001100001111000010110101000110010000000000010100000000000000001010110111111111010100100000000000000010110000100010010110100000000000001000100000100110000011001001110111000001110000000000000000000000000000010100010000100101000011010010001010001111000010110110000110010000000000010100000000000000001101000111111111010100000000000000000010110000100011010110100000000000000111110000101100000011001001111000010110101000000000000000000000000000011000000000100101000011010010001011001111000010110111000110010000000000010100000000000000001010101111111111010100000000000000000010110000100011010110100000000000000111111000101010000011001001110101010111100000000000000000000000000000010100000000100101000011010010001010001111000010111010000110010000000000010100000000000000001011001111111111010100000000000000000010110000100010010110100000000000001001000000100111000011001001110111001110101000000000000000000000000000011100000000100100000011010010001011001111000010111011000110010000000000010100000000000000001011000111111111010100000000000000000010110000100010010110100000000000001000000000101001000011001001110111010010111000000000000000000000000000011100000000100100000011010010001011001111000011000110000110001000000000010100000000000000001010110111111111010100000000000000000010110000100010010110101000000000001000101000101000000011001001110111010000101000000000000000000000000000011100000000100100000011010010001010001111000011001001000110001000000000010100000000000000001011000111111111010100000000000000000010110000100010010110101000000000001000001000101001000011001001110111000110111000000000000000000000000000010100000000100100000011010010001011001111000011001111000110001000000000010100000000000000001011010111111111010100000000000000000010110000100001010110101000000000001000100000101011000100100010000000011000100000000000000000000000000000010100010000100100000011010010001101001111111011010011000111111001100101010100000000000000011110010111111111000100000000000000000010110000100110010110101000000010010011001000110001000101111010001000000011110000000000000000000000000000010000010000100100000011010010001101001111111011010100001010000001101110010011111000000001000000111111111111000100100000000000000010110000100110010110101000001001010000001001001100000110101010001101001011100000000000000000000000000000011100011000100100000011110010001100001111111011100011001100110001101000010011111000000000011000110111111111000100100000000000000010110000100110010110101000001101001101110001100011000111010010000000010010111000000000000000000000000000011100011000100100000011110010001100001111111011110101001110001001101110010011110000000000010110011111111111000100100000000000000010110000100110010110101000010000001101011001110100001000000001111110010010110000000000000000000000000000010100001000100100000011110010001100001111111000000101001101100001100011010011101000000000000111110111111111010100100000000000000010110001000110010110101000010010000011101001100001000101111010000001010111000000000000000000000000000000011000011000100100000011010010001011001111111000001000001000110001110110010011101000000001000000001111111111000100100000000000000010110000100110010110101000010101010001010001011000000111110010000010000011110000000000000000000000000000011100011000100100000011010010001011001111111000010101001100000001111001010011100000000001000000101111111111000100100000000000000010110000100110010110101000011000010000100001100100001000001010000111001001111000000000000000000000000000010100011000100100000011110010001100001111111000110000001100010001111000010011011000000000011101110111111111000100100000000000000010110000100110010110101000011011001111011001110000001000010010000100001100001000000000000000000000000000011100011000100100000011110010001011010000000001001100001100111001110110010011010000000000011100000111111111000100100000000000000010110000111100010110101000011101000100010001110010000011001010000000000111100000000000000000000000000000010100001000100100000011010010001100010000000001010011001011000001100101010011010000000000011111101111111111000100000000000000000010110000101110010110101000011101010001110001010001000111110010000100000001101000000000000000000000000000010100011000100100000011010010001100010000000001011100001010111001111100010011010000000001000011001111111111000100000000000000000010110000100110010110101000100000010001100001010111000111110010001010010100010000000000000000000000000000011100011000100100000011110010001011010000000001110011001011101001111001010011010000000000011101100111111111000100000000000000000010110000100110010110110000100001001111000001011011000111010001111101010010101000000000000000000000000000011000011000100100000011110010001100010000000001110101001101110001100101010011010000000000010010111111111111000100000000000000000010110000100110010110110000100010001010101001011110000110001001101010000101000000000000000000000000000000011100011000100100000011110010001100010000000001111000001101111001100011010011010000000000010011000111111111000100100000000000000010110000100110010110110000100010001010101001011111000110010001101110010101010000000000000000000000000000010100011000100100000011110010001100001111111010000000001101111001100111010011010000000000010001101111111111000100101000000000000010110000100110010110110000100011001010100001011110000110010001110011000011111000000000000000000000000000011100011000100100000011110010001100001111111010000110001101111001100011010011010000000000010001111111111111000100100000000000000010110000100110010110110000100011001010011001100001000110010001110100000111000000000000000000000000000000011100011000100100000011110010001011001111110010010000001101111001100011010011011000000000010001111111111111000100100000000000000010110000100110010110110000100011001010011001100000000110010001110100000011010000000000000000000000000000011100011000100100000011110010001100001111110010011000001101110001100111010011011000000000010010000111111111000100100000000000000010110000100110010110111000100011001011100001100000000111000001110101000010000000000000000000000000000000011100011000100100000011110010001100001111101010011110001100100001110100010011011000000000011101101111111111000100100000000000000010110000100110010110111000100100010000010001100101001000000010000011001100010000000000000000000000000000010000011000100100000011110010001010001111101010100000001100001001111001010011011000000000011111110111111111000100100000000000000010110000100110010110111000100110001111111001100111001000000010001001001100110000000000000000000000000000011100011000100100000011110010001011001111101010110001001101101000000000010011011000000000000111010111111111010100000000000000000010110000111110010110111000100110000110101001001110000110000001111110010101100000000000000000000000000000010100011000100100000011010010001100001111101010110110001001010001101000010011100000000000011010100111111111000100000000000000000010110000100110010110111000100110001111100001001000000110011010001000000011100000000000000000000000000000010100011000100100000011010010001100001111101011000100001011000001101000010011100000000000011010011111111111000100000000000000000010110000100110010110111000100111001111010001001010000110011010001100010001111000000000000000000000000000010100011000100100000011010010001100001111101011110000001011001001100111010011100000000000011010001111111111000100100000000000000010110000100110010110111000101000001111001001001001000110011010001001001101101000000000000000000000000000011100011000100100000011010010001011001111110000011110001011001001101000010011100000000000011011100111111111000100100000000000000010110000100110010110111000101000001111001001001010000110011010001010001001001000000000000000000000000000011100011000100100000011010010001100001111110001001010001011001001100111010011100000000000011010010111111111000100001000000000000010110000100110010110111000101000001110111001001011000110011010000110001011111000000000000000000000000000011100011000100100000011010010001101001111111001110111001011011001100111010011101000000000010111101111111111000100101000000000000010110000100110010110111000101000001000011001001101000100110001111011011001110000000000000000000000000000011000001000100100000011010010001100001111111010000001001101101001011001010011101000000000001100001111111111000100101000000000000010110000100110010110111000101000000111100001001100000100101001101000001000010000000000000000000000000000011100001000100100000011010010001100001111111010001011001101101001011001010011101000000000001011111111111111000100100000000000000010110000100110010110111000101000000111100001001011000100101001100110000100000000000000000000000000000000010000001000100100000011010010001011001111111010011011001101101001011001010011101000000000001100110111111111000100100000000000000010110000100110010110111000101000000111111001001011000100110001101100000110011000000000000000000000000000011100001000100100000011010010001100001111111010101010001101101001011001010011101000000000001101101111111111000100001000000000000010110000100110010110111000100111001000010001001010000100110001110001010000101000000000000000000000000000011100001000100100000011010010001101001111111010111010001101010001011111010011110000000000010011110111111111000100100000000000000010110000100110010110111000100111001011111001001011000101101010000000010011011000000000000000000000000000011100011000100100000011010010001100001111111011001100001100110001100001010011110000000000010101111111111111000100100000000000000010110000100110010110111000101000001100111001001010000110000010000110010000011000000000000000000000000000010100011000100100000011010010001100001111111011110010001011101001100111010011110000000000011001011111111111000100100000000000000010110000100110010110111000101000010000100001001101000110111010001011000100100000000000000000000000000000010100011000100100000011110010001100001111111000010010001010101001110001010011110000000000011111110111111111000100101000000000000010110000100110010110111000101001010000001001001101000110111010001011010101110000000000000000000000000000011100011000100100000011110010001100010000000000110011001100010001100101010011110000000000010110010111111111000100100000000000000010110000100110010110111000101010001011001001010000000101110001111011010101000000000000000000000000000000010100011000100100000011110010001101010000000000111001001101100001011111010011110000000000010011001111111111000100100000000000000010110001000110010110111000101010000101011001001011000011001001110110000010000000000000000000000000000000011100001000100100000011010010001100001111000001000000001011111001011000010011110000000000010011101111111111000100000000000000000010110000101010010110111000101010001101111000111101000101011010000001000011011000000000000000000000000000011100011000100100000011010010001011010000000001010111001011011001011101010011110000000000010101010111111111000100000000000000000010110000100110010110111000101010001101100000111011000101010010000000010110111000000000000000000000000000011100011000100100000011010010001101010000000001111011001011011001011001010011110000000000010101001111111111000100000000000000000010110000100110010110111000101010001101100000111101000101010010000000000100010000000000000000000000000000011100011000100100000011010010001100010000000010011111001100000001011001010011111000000000010010000111111111000100000000000000000010110000100110010110111000101001001011101000111011000100111001111011000101010000000000000000000000000000010100011000100100000011010010001101010000000010111111001100000001011001010011111000000000010011100111111111000100001000000000000010110000100110010110111000101001001011110000111010000100111010000001010110011000000000000000000000000000010100011000100100000011010010001100010000000011100000001100001001011000010011111000000000010000001111111111000100000000000000000010110001001010010110111000101001001000100000111010000011001010000000010111100000000000000000000000000000011100001000100100000011010010001100001111000011101001000110000000000000010011111000000000001011000111111111010100000000000000000010110000101100010110111000101000000111001000110011000011001001111010011000101000000000000000000000000000011000001000100100000011010010001011010000000011101001001011101000000000010011111000000000001010110111111111000100000000000000000010110000100110010110111000100111000101111001001001000011111001101001010111111000000000000000000000000000011000001000100100000011010010001100010000000011101001001011100000000000010011111000000000001010010111111111000100001000000000000010110000100110010110111000100110000110001001000111000011111001100110000010010000000000000000000000000000010000001000100100000011010010001101010000000011110000001011111000000000010011111000000000001001111111111111000100001000000000000010110000100110010110111000100101000110011001000110000011111001101101010111101000000000000000000000000000011000001000100100000011010010001100010000000011110100000110000000000000010011111000000000000111110111111111010100100000000000000010110000100110010110111000100100000110010000110100000011001001101100000001000000000000000000000000000000010100000000100100000011010010001011001111000011110110000110000000000000010100000000000000001100001111111111010100000000000000000010110000100110010110111000100011001000101000101010000011001010000011000010101000000000000000000000000000010000000000100100000011010010001011001111000011111000000110000000000000010100000000000000001100001111111111010100000000000000000010110000100110010110111000100000001000100000101011000011001010000110010111011000000000000000000000000000011100000000100100000011010010001011001111000011111010000110000000000000010100000000000000001100011111111111010100100000000000000010110000100110010110111000011101001000001000101011000011001010000110000010011000000000000000000000000000010100000000100100000011010010001001001111000011111110000110000000000000010100000000000000001100100111111111010100000000000000000010110000100110010110111000011010001000110000101001000011001010001001001101110000000000000000000000000000010100000000100100000011010010001011001111000000000010000110000000000000010100000000000000001100000111111111010100000000000000000010110000100110010110111000010111001000010000101100000011001010001001010101001000000000000000000000000000011100000000100100000011010010001000001111000000001001000110000000000000010100000000000000001011011111111111010100000000000000000010110000100110010110111000010100001000100000101001000011001010000111010000111000000000000000000000000000011100000000100100000011010010001010001111000000010010000110000000000000010100000000000000001100100111111111010100100000000000000010110000100110010110111000010001001000100000101010000011001010001001001101100000000000000000000000000000011100000000100100000011010010001001001111000000011010000110000000000000010100000000000000001100101111111111010100100000000000000010110000100110010110111000001101001000100000101001000011001010001001001111110000000000000000000000000000010100000000100100000011010010001010001111000000100110000110000000000000010011111000000000001101001111111111010100100000000000000010110000100110010110111000001001001000100000101011000011001010001001011000100000000000000000000000000000011100000000100100000011010010001000001111000000101110000110000000000000010011111000000000001100101111111111010100000000000000000010110000100110010110111000000110001000101000101001000011001010001001000111010000000000000000000000000000010100000000100100000011010010001011001111000000111010000110000000000000010011111000000000001101001111111111010100000000000000000010110000100110010110111000000100001000110000101000000011001010001001001001000000000000000000000000000000010100000000100100000011010010001000001111000001001010000110000000000000010011111000000000001101001111111111010100000000000000000010110000100110010110111000000011001000010000101010000011001010001001010011001000000000000000000000000000011100000000100100000011010010001011001111000001010000000110000000000000010011111000000000001100101111111111010100000000000000000010110000100110010110111000000010001000110000101000000011001010001011000110100000000000000000000000000000011100010000100100000011010010001000001111000001011000000110000000000000010011111000000000001110000111111111010100000000000000000010110000100110010110111000000010001001000000101010000011001010001100011000011000000000000000000000000000011100000000100110000011010010001010001111000001100001000110000000000000010011110000000000001011100111111111010100100000000000000010110000100101010110111000000000001000100000101001000011001010001001000010110000000000000000000000000000011100000000100110000011010010001000001111000001100100000110000000000000010011110000000000001100111111111111010100000000000000000010110000100101010110111000000000001000100000101010000011001010001001010111100000000000000000000000000000011100000000100110000011010010001011001111000001100101000110000000000000010011110000000000001011011111111111010100000000000000000010110000100100010110111000000000001000001000101010000011001010000110000010101000000000000000000000000000010100010000100111000011010010001000001111000001101000000110000000000000010011110000000000001101110111111111010100000000000000000010110000100110010110111000000000001000111000101010000011001010000111011001000000000000000000000000000000011100000000100110000011010010001010001111000001110010000110000000000000010011110000000000001100100111111111010100000000000000000010110000100101010110111000000000001001001000100111000011001010000111001010010000000000000000000000000000011100010000100110000011010010001000001111000001111001000110000000000000010011101000000000001011011111111111010100000000000000000010110000100100010110111000000000001000101000100110000011001010000111000001111000000000000000000000000000010100010000100110000011010010001011001111000001111011000110000000000000010011101000000000001011101111111111010100000000000000000010110000100100010110111000000000001000110000100110000011001010000111000010000000000000000000000000000000011100010000100110000011010010000111001111000001111111000110000000000000010011101000000000001011101111111111010100000000000000000010110000100100010110111000000000001000000000101010000011001010000101000101111000000000000000000000000000010100000000100110000011010010001011010000000010000000001001111001011111010011101000000000011001001111111111000100000000000000000010110000101001010110111000000010010010000000111100000110001001111111010011101000000000000000000000000000010100011000100110000011010010001010010000000010001000001011001001011111010011100000000000001111001111111111010100000000000000000010110000101001010110111000000101001000001000101111000011001010000000001001011000000000000000000000000000010100000000100110000011010010000010001111000010011000000110000000000000010011100000000000001110111111111111010100000000000000000010110000101101010110111000000110001001100000101100000011001010000001011001000000000000000000000000000000011100000000100111000011010010000100001111000010011100000110000000000000010011100000000000001100001111111111010100100000000000000010110000101100010110111000000101001001001000101001000011001010000001000001101000000000000000000000000000010000000000100101000011010010001001010000000010011110001010001001011011010011100000000000010100000111111111000100000000000000000010110000101011010110111000000100001100110000111001000101010010000111001111101000000000000000000000000000010100011000100100000011010010000111010000000010111000001011000001011111010011011000000000011001111111111111000100000000000000000010110000101001010110111000000111001110000000111001000101010010001101010101000000000000000000000000000000010100011000100110000011010010001000010000000011001100001011100001011011010011011000000000010110001111111111000100000000000000000010110000101001010111000000001010001110000001001010000110001010001001010010111000000000000000000000000000011100011000100110000011110010000110010000001011011101001100101001100101010011010000000000010111010111111111000100100000000000000010110000101001010111000000001100001101001001011001000110110001111111010011001000000000000000000000000000010100011000100110000011110010001001010000001011101010001100011001110100010011001000000000011100011111111111000100100000000000000010110000101001010111000000001111001111010001101101001000001010000011000101100000000000000000000000000000010100011000100110000011110010000111010000001011111100001100001001111111010011000000000000011110010111111111000100000000000000000010110000101001010111000000010111010001010001100001001000000010000110010101010000000000000000000000000000010100011000100110000011110010000111010000001000100000001100000001111001010010110000000000011110001111111111000100100000000000000010110000101001010110111000011010001111110001101010001000000010000010001111111000000000000000000000000000010100011000100110000011110010001000010000001000110111001100111001111000010010101000000000011100101111111111000100101000000000000010110000101001010110111000011100001110010001110011001000000001111110010001100000000000000000000000000000011100011000100110000011110010001001010000001001100001001101011001101111010010101000000000011000010111111111000100100000000000000010110000101001010110111000011101001011000001111000000111010001110001010110011000000000000000000000000000011000001000100110000011110010001001010000001001100111001101110001101100010010100000000000010001010111111111000100000000000000000010110001001001010110111000011101000011001001101010000011001010000000000000101000000000000000000000000000010000001000100110000011010010001001010000001001101011001100011001011011010010100000000000010001100111111111000100000000000000000010110000101101010110111000011101001010000001010000000101100001111001001111111000000000000000000000000000010000001000100110000011010010001001010000001001110100001101110001011111010010100000000000010001110111111111000100100000000000000010110000101001010110111000011101001011001001001111000101111010000010001100111000000000000000000000000000011100011000100110000011110010001001010000001010000010001100101001100111010010100000000000011001110111111111000100100000000000000010110000101001010110111000011110001101101001010010000110100010000000001100011000000000000000000000000000010100011000100110000011110010001001010000001010100111001100101001100111010010100000000000010111010111111111000100100000000000000010110000101001010110111000011110001101010001010100000110100001111100000100000000000000000000000000000000011100011000100110000011110010001001010000001010111010001101000001100101010010100000000000010101111111111111000100000000000000000010110000101001010110111000011111001100101001010110000110011001111000001100100000000000000000000000000000010100011000100110000011110010001001010000000011001001001101011001100101010010100000000000010110011111111111000100100000000000000010110000101001010110111000100000001100011001010111000110011001110111010011101000000000000000000000000000011100011000100110000011110010001000010000000011011110001101100001100101010010101000000000001010000111111111010100100000000000000010110001001001010110111000100000000101000001001101000011001001110100000001111000000000000000000000000000010000001000100110000011010010001001010000000011100000001011010001011000010010101000000000010001110111111111000100100000000000000010110000101101010110111000011111001010110000111010000011101001111111010111100000000000000000000000000000011100001000100110000011010010001011001111000011110101000110000000000000010010101000000000001011000111111111010100000000000000000010110000101001010110110000011111000111101000101111000011001001111110011001011000000000000000000000000000011000000000100110000011010010001100001111000011110101000110001000000000010010101000000000001101110111111111000100100000000000000010110000101001010110110000011110001010000000111011000100011001111010010101110000000000000000000000000000011100011000100110000011010010001011010000000000001100001100000001011000010010101000000000001111001111111111000100000000000000000010110000101001010110110000011110001001010000111001000100000001110110010001000000000000000000000000000000011100001000100110000011010010001100010000000000100111001100010001010110010010101000000000001110100111111111000100101000000000000010110000101001010110110000011101001011100000110111000100111001110101000001110000000000000000000000000000010000011000100110000011010010001100010000000000111000001011010001011101010010101000000000010111101111111111000100000000000000000010110000101001010110110000011101001110011000110111000101010010000010010110000000000000000000000000000000010100011000100110000011010010001011010000000001001010001011010001011101010010110000000000010110111111111111000100000000000000000010110000101001010110110000011110001110010000111000000101010010001010000101100000000000000000000000000000010100011000100110000011010010001100010000000001101011001011010001011011010010110000000000011000110111111111000100001000000000000010110000101001010110110000011110010000000000111001000101101010001111000011011000000000000000000000000000010100011000100110000011010010001011010000001010001100001010110001100011010010110000000000011001001111111111000100101000000000000010110000101001010110110000011111001110000000111010000100111010001011010110000000000000000000000000000000011100011000100110000011010010001100010000001010100011001100001001011001010010110000000000010001100111111111000100100000000000000010110000101001010110101000011111001001110000111001000100001010000001011001100000000000000000000000000000011000001000100110000011010010001100001111000010100111000110001000000000010010110000000000001011000111111111010100000000000000000010110000101001010110101000011110000111000000111000000011001001111001011001011000000000000000000000000000011000001000100110000011010010001100001111000010100111000110001000000000010010110000000000001011011111111111010100000000000000000010110000101001010110101000011101001001011000110100000100010001111011010100011000000000000000000000000000011100001000100110000011010010001100010000001010101001001100100001011001010010110000000000001100100111111111000100100000000000000010110000101001010110101000011100000111010001001101000100101001101111010010110000000000000000000000000000010100001000100110000011010010001011010000001010110111001101110001011001010010110000000000001101000111111111000100000000000000000010110000101001010110101000011100000111101001001011000100101001101111010001000000000000000000000000000000010100001000100110000011010010001100010000001011000100001101110001011001010010110000000000001100010111111111000100100000000000000010110000101001010110101000011011000110000001001000000011110001101100010101111000000000000000000000000000011000001000100110000011010010001100010000001011000111001011001000000000010010110000000000001010000111111111000100100000000000000010110000101001010110101000011010000110000001000110000011101001101100010110010000000000000000000000000000010100001000100110000011010010001100010000001011001010001011101000000000010010110000000000001001010111111111000100000000000000000010110000101001010110100000011001000110000001000011000011100001101110010001100000000000000000000000000000011100001000100110000011010010001101010000001011001110001100001000000000010010110000000000001010101111111111000100000000000000000010110000101001010110100000010111000110100001000000000011100001101110000010000000000000000000000000000000010000001000100110000011010010001100010000001011010001001100010000000000010010110000000000001010011111111111000100100000000000000010110000101001010110100000010110000111001000111101000011100001101111010100010000000000000000000000000000011100001000100110000011010010001100001111000011010110000110010000000000010010110000000000001010101111111111010100001000000000000010110000101001010110100000010101001000000000101101000011001010000000000100011000000000000000000000000000010000000000100110000011010010001011001111000011010110000110010000000000010010110000000000001100001111111111010100100000000000000010110000101001010110100000010100001000101000101111000101101001111111011000110000000000000000000000000000010100011000100110000011010010001101010000001011011100000101010001101111010010110000000001001100110111111111000100000000000000000010110000101001010110100000010110011001011001000000001000101010000111001010000000000000000000000000000000010100001000100110000011010010001100010000001011100111000110011001110010010010110000000001011111001111111111000100100000000000000010110001001001010110100000011001000111110001000010000011001010001000011001111000000000000000000000000000011000001000100110000011010010001100001111000011101101000110010000000000010010110000000000001010100111111111010100000000000000000010110000101101010110100000011000000110101000110101000011001010000000011001100000000000000000000000000000011000001000100110000011010010001101001111000011101101000110001000000000010010110000000000001011000111111111010100100000000000000010110000101001010110101000010111000111110000101110000011001001111011011000111000000000000000000000000000011000000000100110000011010010001100001111000011101111000110001000000000010010110000000000001011101111111111010100000000000000000010110000101001010110101000010110001000000000101110000011001001111010000010010000000000000000000000000000011100000000100110000011010010001101001111000011111100000110001000000000010010110000000000001011011111111111010100100000000000000010110000101001010110101000010101001000000000101101000011001001111010000010011000000000000000000000000000010000000000100110000011010010001101001111000011111110000110001000000000010010110000000000001011110111111111010100100000000000000010110000101001010110101000010101000111111000101110000011001001111110010110100000000000000000000000000000010100000000100110000011010010001011001111000000000000000110001000000000010010110000000000001011010111111111010100100000000000000010110000101001010110101000010010001000011000101101000011001001111110000010010000000000000000000000000000010100000000100110000011010010001100010000001000000100001010101000000000010010110000000000001111100111111111000100100000000000000010110000101001010110101000010000001000000001001111000100111001111011011001001000000000000000000000000000011000001000100110000011010010001011010000001000000110001110010001100101010010110000000000010011010111111111000100100000000000000010110000101001010110101000001111001011011001101101000111000001110001010010110000000000000000000000000000011000011000100110000011110010001010010000001000011001001110010001101000010010101000000000010001110111111111000100100000000000000010110000101001010110101000010001001001110001111010000111001001101101001100110000000000000000000000000000010100001000100110000011110010001011010000001000100001001101110001101000010010101000000000010010011111111111000100100000000000000010110000101001010110101000010010001001000010000010000101010001101000000011000000000000000000000000000000010000001000100101000011010010001100001111000000101100000110001000000000010010101000000000001000010111111111010100000000000000000010110000111001010110101000010010000101010001000010000011001001110011000001000000000000000000000000000000010000001000100110000011010010001100001111000000101101001010101001010110010010101000000000010100101111111111000100100000000000000010110000101001010110101000010000001000100001101001000110100001111111010111100000000000000000000000000000011000001000100110000011110010001011010000001000110010001110100001101110010010100000000000010101110111111111000100100000000000000010110000101001010110101000010001001100100001110111000111111001111001000111111000000000000000000000000000010100001000100110000011110010001011010000001001000110001100100001110100010010100000000000011000101111111111000100100000000000000010110000101001010110101000010011001011111010001100001000011001111100010110110000000000000000000000000000010100001000100110000011110010001100010000001001001111001010010000000000010010011000000000000101011111111111010100100000000000000010110001000001010110101000010100001110010001100001000111101001111110000010100000000000000000000000000000010000011000100110000011010010001100010000001001010101001000111010000000010010011000000001000101001111111111000100101000000000000010110000101001010110110000011000010010100001100010001000100010001000001010100000000000000000000000000000011100011000100110000011110010001011010000001001100100001011111001111111010010010000000001000001000111111111000100100000000000000010110000101001010110110000011011010000110001110000001000100010000100000100101000000000000000000000000000011100011000100110000011110010001010010000001010000010001100011001111100010010010000000000000000001111111111000100100000000000000010110000101001010110110000011101001111101001111010001000101010000010000111001000000000000000000000000000011100001000100110000011110010001100001111000010010011000110001000000000010010010000000000000111001111111111010100000000000000000010110000111101010110110000011110010100001001010000001000110001111111000001100000000000000000000000000000010000001000100110000011010010000111010000001010011000001000101001110101010010011000000001000001001111111111000100100000000000000010110001001001010110110000100000010000101001011010000110111001111111010111111000000000000000000000000000011000011000100110000011110010001000010000001010100010001101111001011001010010011000000000001011011111111111000100100000000000000010110000101001010110110000100000000101101001011001000100100001101101011000001000000000000000000000000000011000001000100110000011110010000110010000001010100100001100111001011001010010011000000000001010011111111111000100100000000000000010110000101001010110110000011111000101110001010101000100100001101100001111001000000000000000000000000000011000001000100110000011110010001010010000001010100111001100111001011001010010100000000000000110011111111111010100100000000000000010110001001001010110111000011110000110000001000011000011001001101100000001001000000000000000000000000000010000001000100110000011010010001000001111000010101000000110000000000000010010100000000000001010111111111111010100000000000000000010110000101011010110111000011100001000000000101110000011001010000001000010000000000000000000000000000000010000000000100110000011010010001000001111000010101000000110000000000000010010100000000000001100111111111111010100000000000000000010110000101001010110111000011001001000100000101100000011001010000100000010100000000000000000000000000000010100000000100110000011010010001000001111000010101100000110000000000000010010100000000000001101101111111111010100000000000000000010110000101001010110111000010110001001010000101000000011001010000110000101010000000000000000000000000000011100000000100110000011010010000111001111000010111100000110000000000000010010100000000000001101110111111111010100000000000000000010110000101001010110111000010011001001010000101010000011001010000110001101111000000000000000000000000000011100000000100110000011010010001000001111000011001100000110000000000000010010100000000000001101000111111111010100000000000000000010110000101001010110111000001110001001010000101001000011001010000110000100100000000000000000000000000000010100000000100110000011010010001000001111000011011000000110000000000000010010100000000000001101110111111111010100000000000000000010110000101001010110111000001001001001001000101001000011001010000110000100100000000000000000000000000000010100000000100110000011010010000111001111000011100000000110000000000000010010100000000000001101110111111111010100100000000000000010110000101001010110111000000101001001011000101001000011001010000110010001010000000000000000000000000000010100000000100110000011010010000111001111000011101110000110000000000000010010100000000000001101100111111111010100000000000000000010110000101001010110111000000100001000110000101011000011001010000110000100100000000000000000000000000000010100000000100110000011010010001000001111000011110000000110000000000000010010100000000000001100101111111111010100000000000000000010110000101001010110111000000000001001000000101000000011001010000110001010000000000000000000000000000000011100000000100110000011010010001000001111000011110101000110000000000000010010100000000000001011111111111111010100100000000000000010110000101000010110111000000000001000111000101000000011001010000111000010101000000000000000000000000000010000010000100111000011010010000111001111000011111010000110000000000000010010011000000000001101111111111111010100000000000000000010110000101000010110111000000000001001001000101000000011001010001001010010101000000000000000000000000000010100000000100111000011010010000111001111000000000010000110000000000000010010011000000000001101111111111111010100000000000000000010110000101000010110111000000000001001010000101001000011001010001001010101010000000000000000000000000000010100000000100111000011010010001000001111000000001110000110000000000000010010011000000000001101100111111111010100000000000000000010110000101000010110111000000000001001110000100110000011001010001001010111000000000000000000000000000000011100000000100110000011010010001000001111000000011001000110000000000000010010011000000000001100110111111111010100100000000000000010110000101000010110111000000000001000101000101010000011001010001001010100111000000000000000000000000000010100000000100111000011010010000111001111000000011110000110000000000000010010011000000000001101111111111111010100000000000000000010110000101000010110111000000000001001010000101010000011001010001001011000100000000000000000000000000000010100000000100111000011010010001001001111000000100010001001010001010110010010011000000000010110101111111111000100100000000000000010110000101101010110111000000000010010011000110011000110001010000011000001101000000000000000000000000000010100011000100110000011010010001011010000001000101000001001011001101100010010010000000001000011010111111111000100000000000000000010110000101101010110111000000100010100011000110100000110011010001010000010001000000000000000000000000000010000011000100110000011010010001100010000001000101101001010001001110010010010010000000001000111001111111111000100000000000000000010110000101101010110111000001011010011000001011000001000001010001111010101100000000000000000000000000000011100011000100110000011110010001100010000001000111111001100001001111101010010001000000000011111010111111111000100100000000000000010110000101101010110110000010000001110110001110110001000010010000001010101110000000000000000000000000000011100001000100110000011110010001010010000010001001111001100010001110110010010000000000000011011011111111111000100100000000000000010110000101101010110110000010011001100111010001001001000101001111110001101011000000000000000000000000000010100001000100110000011110010001100010000010001010111001100000001111001010001111000000000010001001111111111000100100000000000000010110001001101010110110000010101000001101010000010000011001001111000000001010000000000000000000000000000011100001000100110000011010010001011010000010001011011001000010010000000010001111000000001000110101111111111000100100000000000000010110000110001010110101000010111010100011001100001001000111010000110000011111000000000000000000000000000011100011000100110000011010010001010010000010001100101001011000010000111010001111000000001000101011111111111000100100000000000000010110000101101010110101000011010010010101001101101001000111010000110010000010000000000000000000000000000011000011000100110000011110010001010010000010001111101001100010001111101010001110000000000011101110111111111000100100000000000000010110000101101010110100000011100001000011001110010000100000001110111011001110000000000000000000000000000010101001000100110000011010010001011001111000010000100001100000001011001010001110000000000010001100111111111000100100000000000000010110000111001010110100000011011001011001001001010000101011001111101001001000000000000000000000000000000010100011000100110000011010010001100010000010010001111001101111001011011010001110000000000010000001111111111000100000000000000000010110000101101010110100000011011001001111001001001000101001001110011010011110000000000000000000000000000011100001000100110000011010010001100010000010010101100001101101001011011010001110000000000010001101111111111000100001000000000000010110000101101010110100000011010001010010001001000000101001001110101010100001000000000000000000000000000011100011000100110000011010010001011010000010011010100001100101000000000010001110000000000001000100111111111010100101000000000000010110001001001010110100000011001000110111001000010000011001001110111001110100000000000000000000000000000010100001000100110000011010010000110001111000011011001000110010000000000010001110000000000001010110111111111010100000000000000000010110000101101010110100000010110000111011000110011000011001001110110010010011000000000000000000000000000010100000000100110000011010010000111001111000011100000000110010000000000010001110000000000001011111111111111010100100000000000000010110000101101010110100000010001001000011000110000000011001010000000011001001000000000000000000000000000011100000000100110000011010010001000001111000011101000000110010000000000010001110000000000001100011111111111010100000000000000000010110000101101010110100000001010001000100000101110000011001010000000000010101000000000000000000000000000010100000000100110000011010010000111001111000011101110000110010000000000010001110000000000001100011111111111010100100000000000000010110000101101010110100000000110001000011000101111000011001010000000010110111000000000000000000000000000010100000000100110000011010010001010001111000011111101000110001000000000010001110000000000001011101111111111010100100000000000000010110000101101010110101000000100001000001000101111000011001001111110010110010000000000000000000000000000011000000000100110000011010010000111001111000000000000000110001000000000010001110000000000001011110111111111010100000000000000000010110000101011010110101000000000001000000000101111000011001001111101011000001000000000000000000000000000010100000000100110000011010010001010001111000000000100000110001000000000010001110000000000001011110111111111010100000000000000000010110000101000010110101000000000001000000000101011000011001001111111000010001000000000000000000000000000010100000000100101000011010010000111001111000000001001000110001000000000010001110000000000001011011111111111010100000000000000000010110000100111010110101000000000001000010000101011000011001001111111000010000000000000000000000000000000010100000000100100000011010010001010001111000000001100000110001000000000010001110000000000001011111111111111010100000000000000000010110000100101010110101000000000001000100000101001000011001010000000000001111000000000000000000000000000010100000000100110000011010010001000001111000000010000000110001000000000010001110000000000001101000111111111010100100000000000000010110000100101010110101000000000001001010000101000000011001010000011001111011000000000000000000000000000010100000000100110000011010010001010001111000000011111000110001000000000010001110000000000001100010111111111010100000000000000000010110000100101010110101000000000001000111000100111000011001010000011000010011000000000000000000000000000011100000000100110000011010010000111001111000000101000000110001000000000010001110000000000001100100111111111010100000000000000000010110000100101010110101000000000001001001000101000000011001010000100000010000000000000000000000000000000010100000000100110000011010010001010001111000000101101000110001000000000010001110000000000001100011111111111010100000000000000000010110000100101010110110000000000001001000000101000000011001010000101000100110000000000000000000000000000011100010000100110000011010010001000001111000000111011000110001000000000010001101000000000001101001111111111010100100000000000000010110000100101010110110000000000001000110000101000000011001010000101010011101000000000000000000000000000011100000000100110000011010010001010001111000001001001000110001000000000010001101000000000001011111111111111010100000000000000000010110000100101010110110000000000001000111000101000000011001010000101000010000000000000000000000000000000010000010000100110000011010010000111001111000001001011000110001000000000010001101000000000001011101111111111010100100000000000000010110000100101010110110000000000001000101000100111000011001010000110000010000000000000000000000000000000011100010000100110000011010010001010001111000001001101000110001000000000010001101000000000001011101111111111010100000000000000000010110000100101010110110000000000001000001000101010000011001010000110000010001000000000000000000000000000010100010000100110000011010010000111001111000001010000000110001000000000010001101000000000001100110111111111010100000000000000000010110000100101010110110000000000000111111000101100000011001010000111010111000000000000000000000000000000010100000000100110000011010010001011010000010001010010001010001001011011010001101000000000011010000111111111000100100000000000000010110000101010010110110000000000010011011000101100000101100010000110000001011000000000000000000000000000010100010000100100000011010010001000010000010001100010001010010001100101010001101000000000011111001111111111000100100000000000000010110000101010010110110000000100010011010000101101000101100010001010000010111000000000000000000000000000011100010000100100000011010010001100010000010001110010001000111001101110010001100000000001000110010111111111000100000000000000000010110000101010010110111000001001010100100001001111001000000010001010001011111000000000000000000000000000010100011000100100000011010010000010010000010010000011001011100001111100010001100000000001000000110111111111000100100000000000000010110000101010010110111000001110001111101001101011001000000010000101010001111000000000000000000000000000011100011000100100000011110010000111010000010010001111001101000001110010010001011000000000011001001111111111000100100000000000000010110000101010010110111000010010001100100001111110001000000001110101001000000000000000000000000000000000011100001000100111000011110010001000001111000010011100000110000000000000010001011000000000001000111111111111000100100000000000000010110001000010010110111000010011010000111001010000000111100010000001000011000000000000000000000000000000010000011000100100000011010010001000010000010010100010001001000001110100010001011000000001000000111111111111000100100000000000000010110000101010010110111000010101010000100001011000000111100010001000010100010000000000000000000000000000011100011000100100000011110010001000010000010010101001001100001001110100010001010000000000011100101111111111000100100000000000000010110000101010010110111000010111001110111001100000000111100001111110000011101000000000000000000000000000011100011000100100000011110010001000010000010011000001001101010001101111010001010000000000011001100111111111000100100000000000000010110000101010010110111000011001001011010001101001000110100001110100011001000000000000000000000000000000011000011000100100000011110010001000010000010011001101001110011001100011010001010000000000010001000111111111000100001000000000000010110000101010010110111000011010000101001001101000000011110001101000000001110000000000000000000000000000010000001000100100000011010010001000001111000011011000000110000000000000010001010000000000000000000111111111010100100000000000000010110000111010010110111000011000000011100001010111000011001010000000000000010000000000000000000000000000010000001000100100000011010010000111001111000011011000000110000000000000010001010000000000001010110111111111010100100000000000000010110000101010010110111000010111001000001000101100000011001010000010000010010000000000000000000000000000010000000000100100000011010010001001001111000011011100000110000000000000010001010000000000001100010111111111010100000000000000000010110000101010010110111000010110001000100000101100000011001010000100000010010000000000000000000000000000010100000000100100000011010010000111001111000011100011000110000000000000010001011000000000000111110111111111010100100000000000000010110000101010010110111000010000000010101001100011000011001010000011000010000000000000000000000000000000010000001000100100000011010010000111001111000011100110000110000000000000010001011000000000000111111111111111010100100000000000000010110000101010010110111000001011000100001001000101000011001010001101000001001000000000000000000000000000010000001000100100000011010010001000001111000011100111000110000000000000010001010000000000001100100111111111000100100000000000000010110000101010010110111000001001001010110000111001000100110001111101011000001000000000000000000000000000010100011000100100000011010010001001010000010011101010001010111001011001010001010000000000010011110111111111000100000000000000000010110001000010010110111000001001000111011000111111000011001010000010000001111000000000000000000000000000010100001000100100000011010010000111001111000011110111000110000000000000010001010000000000001011110111111111010100100000000000000010110000110010010110111000000111000111110000110001000011001010000000001101000000000000000000000000000000011100000000100100000011010010001000010000010011111111001000110001101010010001010000000000011101000111111111000100000000000000000010110000101010010110111000000110010011111001000111000111100010000100000011011000000000000000000000000000010100011000100100000011010010001000010000010000000110001001011001111001010001010000000001001000010111111111000100100000000000000010110000101010010110111000001100010011000001011111001000101010001001000100101000000000000000000000000000011100011000100100000011010010001000010000010000010011001011110010000000010001001000000000011111100111111111000100100000000000000010110000101010010110111000010010001111000010000100001000111010000000010010001000000000000000000000000000010100001000100100000011110010001000010000010000011100001011110001111010010001000000000000011011100111111111000100100000000000000010110001001110010110111000010101000001110001111111000011001001111010000001011000000000000000000000000000010000001000100100000011010010001000010000010000100001001000110001111101010001000000000001000101110111111111000100101000000000000010110000101110010110111000010110010011011001011110001000100010000110000011101000000000000000000000000000011100011000100100000011010010001001010000010000101101001011010010000001010001000000000001000100010111111111000100100000000000000010110000101010010110110000011001010001010001101010001000100010000011010110010000000000000000000000000000011100011000100100000011110010001011010000010000111111001110100001101010010001000000000000010100110111111111000100100000000000000010110000101010010110110000011011001011010001110000000111000001110000010101001000000000000000000000000000011100011000100100000011110010001011010000010001000100001110101001101000010001000000000000010011111111111111000100100000000000000010110000101010010110110000011100001010000001110011000100001001101100011001101000000000000000000000000000010101001000100100000011010010001011001111000001010110000110001000000000010001000000000000001111111111111111000100000000000000000010110000111010010110110000011100001011011001001100000101100010000100010000110000000000000000000000000000011100011000100100000011010010001100010000010001011001001100010001011111010001000000000000010010010111111111000100100000000000000010110000101010010110110000011100001010101001001101000101100001111001010000110000000000000000000000000000011100011000100100000011110010001011010000010001101010001101101001011111010001001000000000010001100111111111000100100000000000000010110000101010010110110000011100001010011001001101000101100001111001001000001000000000000000000000000000010100011000100100000011110010001100010000010001111011001101101001011111010001001000000000010010101111111111000100100000000000000010110000101010010110110000011100001010011001001101000101100001111000001000000000000000000000000000000000010100011000100100000011110010001011010000001010010110001101110001011111010001001000000000010000001111111111000100000000000000000010110000101010010110101000011100001001000001001110000101001001110110010111001000000000000000000000000000011100001000100100000011110010001011010000001010110111001101110001011101010001010000000000001111000111111111000100000000000000000010110000101010010110101000011100001000100001001011000100110001110001010111101000000000000000000000000000011000001000100100000011110010001011010000001011001011001101110001011001010001010000000000001011111111111111000100101000000000000010110000101010010110101000011011000111110001001001000100101001110001010001001000000000000000000000000000010100001000100100000011110010001100010000001011010100001100110001100001010001010000000000010111000111111111000100100000000000000010110000101010010110101000011011001111100001001010000110110010000011000010110000000000000000000000000000010000011000100100000011110010001010010000001011100010001010100001110001010001010000000000011111011111111111000100101000000000000010110000101010010110101000011100010000101001001110000110111010001100010100101000000000000000000000000000010100011000100100000011110010001100010000001000000100001011000001101110010001010000000000011101111111111111000100101000000000000010110000101010010110101000011101001111101001001111000110110010000100010101100000000000000000000000000000011100011000100100000011110010001010010000010000100110001011010001101100010001011000000000011011011111111111000100000000000000000010110000101010010110101000011101001110110001010000000110011001111110001010111000000000000000000000000000011000011000100100000011110010001100010000010000111111001101111001011000010001011000000000001000101111111111000100100000000000000010110001001110010110101000011101000110000001001111000011101001101101011000100000000000000000000000000000011000001000100100000011110010001011010000010001000001001011000000000000010001011000000000001010010111111111000100100000000000000010110000101110010110101000011100000101010001001100000011101001100010001101000000000000000000000000000000010100001000100100000011110010001011010000010001000101001010110000000000010001011000000000001001110111111111000100100000000000000010110000101010010110101000011011000101011001001011000011011001100010000010100000000000000000000000000000010000001000100100000011010010001011001111000001001000000110001000000000010001011000000000001001110111111111010100000000000000000010110000101010010110101000011100001000001000101101000011001010000010000010010000000000000000000000000000010000000000100100000011010010001010001111000001001010000110001000000000010001100000000000001100011111111111010100000000000000000010110000101010010110101000011010001000010000101101000011001010000100010000100000000000000000000000000000011100000000100100000011010010001011001111000001011011000110001000000000010001100000000000001100011111111111010100000000000000000010110000101010010110110000011000001000010000101101000011001010000100010100011000000000000000000000000000011100000000100100000011010010001010001111000001101001000110001000000000010001100000000000001100001111111111010100100000000000000010110000101010010110110000010111001000011000101101000011001010000100001101111000000000000000000000000000010100000000100100000011010010001010001111000010000011000110001000000000010001100000000000001100000111111111010100000000000000000010110000101010010110110000010101001000011000101101000011001010000100010000110000000000000000000000000000011100000000100100000011010010001011001111000010010011000110001000000000010001100000000000001100011111111111010100100000000000000010110000101010010110110000010100001000010000101110000011001010000100010010100000000000000000000000000000010100000000100100000011010010001010001111000010100010000110001000000000010001100000000000001100000111111111010100100000000000000010110000101010010110110000010010001000010000101101000011001010000100001011010000000000000000000000000000011100000000100100000011010010001010001111000010110011000110001000000000010001100000000000001011110111111111010100000000000000000010110000101010010110110000001111001000001000101101000011001010000011000010101000000000000000000000000000010100000000100100000011010010001010001111000010111000000110001000000000010001100000000000001100001111111111010100001000000000000010110000101010010110110000001100001000010000101100000011001010000100000011101000000000000000000000000000011100000000100100000011010010001010001111000011000110000110001000000000010001100000000000001100001111111111010100000000000000000010110000101010010110110000001001001000011000101100000011001010000100000010110000000000000000000000000000010100000000100100000011010010001011001111000011001111000110001000000000010001100000000000001100001111111111010100100000000000000010110000101010010110110000000110001000010000101101000011001010000100001001000000000000000000000000000000011100000000100100000011010010001010001111000011100010000110001000000000010001100000000000001011110111111111010100000000000000000010110000101010010110111000000100001000010000101100000011001010000100000010110000000000000000000000000000010100000000100100000011010010001010001111000011101111000110000000000000010001100000000000001100000111111111010100100000000000000010110000101010010110111000000000001000001000101110000011001010000100001000111000000000000000000000000000010100000000100100000011010010001010001111000011110110000110000000000000010001100000000000001100001111111111010100000000000000000010110000101001010110111000000000001000001000101100000011001010000101001011100000000000000000000000000000010100000000100110000011010010001001001111000000000000000110000000000000010001011000000000001011111111111111010100000000000000000010110000101000010110111000000010001000100000101011000011001010000111000010000000000000000000000000000000010000000000100111000011010010001010001111000000000001000110000000000000010001011000000000001100000111111111010100000000000000000010110000101000010110111000000000001000011000101011000011001010001001000011101000000000000000000000000000010000000000100101000011010010001010001111000000000110000110000000000000010001011000000000001100100111111111010100000000000000000010110000100111010110111000000000001000001000101010000011001010001101000011010000000000000000000000000000010100000000100100000011010010001010001111000000001110000110000000000000010001011000000000001011110111111111010100100000000000000010110000100101010110111000000000001000010000101001000011001010001101000010101000000000000000000000000000010100000000100110000011010010001010001111000000010010000110000000000000010001011000000000001100100111111111010100100000000000000010110000100101010110111000000000001000101000101001000011001010001110001000010000000000000000000000000000010100000000100110000011010010001001001111000000100100000110000000000000010001011000000000001101000111111111000100000000000000000010110000101010010110111000000000001100110000110110000101010010000000000010001000000000000000000000000000010100011000100100000011010010000100010000010000110000001000000001101000010001010000000001000011010111111111000100000000000000000010110000101010010110111000000010010100001000111011000110101010000100001010100000000000000000000000000000010000011000100100000011010010001000010000010000110000001001111001110110010001010000000001000110001111111111000100100000000000000010110000101010010110111000001011010001011001011010000111110010001011010111000000000000000000000000000000010100011000100100000011110010001000010000010001000101001101000001110010010001010000000000011010101111111111000100100000000000000010110000101010010110111000010000001100101001110110000111110001111100001010111000000000000000000000000000011100001000100100000011110010000111010000010001001011001010011000000000010001001000000000000101110111111111010100100000000000000010110000101010010110111000010010000011010001001110000011001001110100000000111000000000000000000000000000010000001000100100000011010010001000001111000001001100000110000000000000010001001000000000001011001111111111010100000000000000000010110000101010010110111000010010001000010000101011000011001010000011000011100000000000000000000000000000010000000000100100000011010010000111001111000001001101000110000000000000010001001000000000001011111111111111010100100000000000000010110000101010010110111000010001001000110000101001000011001010000101000001110000000000000000000000000000010000000000100100000011010010000110001111000001010000000110000000000000010001001000000000001101000111111111010100100000000000000010110000101010010110111000010001001000100000101101000011001010001001010111110000000000000000000000000000011100000000100100000011010010000111001111000001010010000110000000000000010001001000000000001101001111111111010100000000000000000010110000101010010110111000010001001000111000101001000011001010001011000010111000000000000000000000000000010000000000100100000011010010000110001111000001010100000110000000000000010001001000000000001100011111111111010100000000000000000010110000101010010110111000010001001000101000101100000011001010001100000011100000000000000000000000000000010100000000100100000011010010000111001111000001011000000110000000000000010001001000000000001101011111111111010100101000000000000010110000101010010110111000010001001000111000101011000011001010001110001101000000000000000000000000000000011100000000100100000011010010000111001111000001100001000110000000000000010001001000000000001001000111111111010100100000000000000010110000101010010110111000010000000101100001000000000011001010001000010110001000000000000000000000000000010100001000100100000011010010001000001111000001100011000110000000000000010001001000000000001001001111111111010100100000000000000010110000101010010110111000001111000101101000111110000011001010001011010111110000000000000000000000000000011000001000100100000011010010001001001111000001101000000110000000000000010001001000000000001010000111111111000100100000000000000010110000101010010110111000001111001000001000111101000100000010000101011001001000000000000000000000000000011000001000100100000011010010001000010000010001101001001011101000000000010001000000000000001111010111111111000100000000000000000010110000101010010110111000001111001101001001000000000101100010000001000010111000000000000000000000000000010100011000100100000011010010001000010000010001110010001011101001100001010001000000000000010111111111111111000100001000000000000010110000101010010110111000010001001011001001000111000101010010000010010100100000000000000000000000000000011000001000100100000011010010001000010000010010000001001101101001011001010001000000000000001100111111111111000100000000000000000010110000101010010110111000010010000111100001001010000100101001110100010101010000000000000000000000000000010100001000100100000011010010001000010000010010000110001101100001011111010001000000000000010011000111111111000100100000000000000010110000101010010110111000010011001001100001001110000100101001111111011001000000000000000000000000000000011000001000100100000011110010001000010000010010001011001001101000000000010001000000000000001001000111111111000100000000000000000010110000101010010110111000010011000100011001001100000011011001101111000001110000000000000000000000000000010000001000100100000011010010001000001111000010001100000110000000000000010001000000000000001000100111111111010100100000000000000010110000101010010110111000010010000100111001001000000011100001111001000001011000000000000000000000000000010000001000100100000011010010001011001111000010001100001010110000000000010001000000000000001011000111111111000100000000000000000010110000101010010110111000010001000111000001001001000100001001110110010111111000000000000000000000000000011000001000100100000011010010001010010000010010001101001100011000000000010001000000000000001011010111111111000100100000000000000010110000101010010110111000010010000110100001000111000011111001101101010110101000000000000000000000000000010100001000100100000011010010001100001111000010010000000110001000000000010001000000000000000111110111111111010100000000000000000010110000101010010110110000010001000110101000110010000011001010000000000001000000000000000000000000000000010000000000100100000011010010001100001111000010010010000110001000000000010000111000000000001011110111111111010100100000000000000010110000101010010110110000010001001000010000101101000011001010000110000111011000000000000000000000000000011100000000100100000011010010001100001111000010010111000110001000000000010000111000000000001100000111111111010100100000000000000010110000101010010110110000010000001000001000101101000011001010000111010011011000000000000000000000000000011100000000100100000011010010001100010000010010101000001010100001011000010000111000000000010001111111111111000100100000000000000010110000101010010110110000010000001001000001000011000100001001111011010111101000000000000000000000000000010100001000100111000011010010001011001111000010110010000110001000000000010000111000000000001010111111111111010100100000000000000010110000111110010110110000001111000111001000111000000011001001111011001111001000000000000000000000000000010100001000100100000011010010001001001111000010111000000110001000000000010000111000000000001011101111111111010100100000000000000010110000101010010110101000001101000111110000101110000011001010000000010100011000000000000000000000000000010100000000100100000011010010001010001111000010111010000110001000000000010000111000000000001011111111111111010100000000000000000010110000101010010110101000001100001000011000101011000011001010000011000111010000000000000000000000000000011100000000100100000011010010001010001111000010111101000110001000000000010000111000000000001011100111111111010100000000000000000010110000101010010110101000001001001000010000101011000011001010000001000001100000000000000000000000000000010000000000100100000011010010001010001111000010111110000110001000000000010000111000000000001011110111111111010100000000000000000010110000101010010110101000001000001000001000101101000011001010000100000010111000000000000000000000000000011100000000100100000011010010001100010000010011000100001011001001100001010000111000000000010011000111111111000100100000000000000010110000111100010110101000000111000101110001000011000011001001111110000001110000000000000000000000000000010100001000100110000011010010001100010000010011000110001011000001011000010000111000000000010010101111111111000100100000000000000010110000110101010110101000001000001010100000111100000011100010000110010111100000000000000000000000000000011100001000100100000011010010001011001111000011010001000110001000000000010000111000000000001011010111111111010100000000000000000010110000101010010110101000001000001000000000101101000011001001111111000010000000000000000000000000000000010100000000100100000011010010001010001111000011010110000110001000000000010000111000000000001011101111111111010100000000000000000010110000101010010110101000000111001000011000101011000011001010000010001001101000000000000000000000000000011100000000100100000011010010001010001111000011011000000110001000000000010000111000000000001011110111111111010100000000000000000010110000101010010110101000000110001000000000101110000011001010000010010100000000000000000000000000000000010100000000100100000011010010001011010000010011011100001010010001011000010000111000000000010010010111111111000100000000000000000010110000101010010110101000000110001011100000111011000100110010000101010000100000000000000000000000000000010100011000100111000011010010001100001111000011101011000110001000000000010000111000000000001101011111111111010100000000000000000010110000111110010110101000000111000111111000111000000011001010000100011001001000000000000000000000000000011000001000100110000011010010001010001111000011101111000110001000000000010000110000000000001011011111111111010100100000000000000010110000101010010110101000000100001001001000110001000101001010000000010001011000000000000000000000000000011100010000100100000011010010001011010000010011111010001000000001101100010000110000000001000010101111111111000100000000000000000010110000101010010110101000000101010011001001000101000111001010001001000011001000000000000000000000000000010000011000100100000011010010001010010000010000000010001010010001111111010000110000000001000111111111111111000100100000000000000010110000101010010110101000001101010010100001100011001000100010001010010100001000000000000000000000000000011100011000100100000011110010001001010000010000010110001100011001111100010000110000000000011110000111111111000100100000000000000010110000101010010110101000010010001101110010000001001000100001111001000011010000000000000000000000000000011100001000100111000011010010001100001111000000011100000110001000000000010000101000000000010001010111111111000100100000000000000010110000111110010110101000010011010010010001010001000111101001111111000101010000000000000000000000000000010100011000100100000011010010001011010000011000100100001001010001111000010000110000000001000010000111111111000100000000000000000010110000101010010110101000010110010000110001011110000111110010000100010101101000000000000000000000000000011100011000100100000011110010001010010000011000111111001100011001110101010000101000000000011101001111111111000100000000000000000010110000101010010110101000011001001101110001100111000111001001111000010111101000000000000000000000000000011100001000100111000011010010001011001111000001001010000110001000000000010000110000000000001001001111111111010100000000000000000010110001000010010110101000011000000101100001000101000011001001110101010101111000000000000000000000000000010100001000100100000011010010001010001111000001001110000110001000000000010000110000000000001010001111111111010100000000000000000010110000101010010110110000010101000111111000101110000011001010000000010101010000000000000000000000000000011100000000100100000011010010001011001111000001010110000110001000000000010000110000000000001011101111111111010100100000000000000010110000101010010110110000010101001000011000101101000011001010000000001100100000000000000000000000000000010100000000100100000011010010001010001111000001100000000110001000000000010000110000000000001100010111111111010100000000000000000010110000101010010110110000010011001001001000100111000011001010000011000001001000000000000000000000000000010000010000100100000011010010000100001111000001100000000110001000000000010000110000000000001110111111111111010100000000000000000010110000101010010110110000010010001001111000101000000011001010000110000011010000000000000000000000000000010100000000100100000011010010000101001111000001101110000110001000000000010000110000000000001101000111111111010100100000000000000010110000101010010110110000010000001000101000101101000011001010000111001000011000000000000000000000000000010100000000100100000011010010000111001111000001110010000110001000000000010000110000000000001101000111111111010100000000000000000010110000101010010110111000001101001001001000101000000011001010001010000010010000000000000000000000000000010000000000100100000011010010000110001111000001110010000110000000000000010000110000000000001110000111111111010100000000000000000010110000101010010110111000001001001001010000101001000011001010001100001110101000000000000000000000000000011100000000100100000011010010000111001111000001111011000110000000000000010000110000000000001100001111111111010100100000000000000010110000101010010110111000000110001000101000101001000011001010001100000010001000000000000000000000000000010100000000100100000011010010000111001111000001111111000110000000000000010000101000000000001100011111111111010100000000000000000010110000101010010110111000000011001000011000101100000011001010001100010100011000000000000000000000000000010100000000100100000011010010000110001111000010000100000110000000000000010000101000000000001101000111111111010100000000000000000010110000101010010110111000000010001001001000101000000011001010001111000010110000000000000000000000000000010000000000100100000011010010000111001111000010001000000110000000000000010000101000000000001101111111111111010100000000000000000010110000101010010110111000000000001001010000101001000011001010010000010110111000000000000000000000000000011100000000100100000011010010000110001111000010010100000110000000000000010000101000000000001101001111111111010100100000000000000010110000101010010110111000000000001001000000101000000011001010010000000010111000000000000000000000000000010100000000100100000011010010000111001111000010011100000110000000000000010000101000000000001110010111111111010100100000000000000010110000101010010110111000000000001001010000101001000011001010010000001010011000000000000000000000000000010100010000100100000011010010000110001111000010101001000110000000000000010000101000000000001101101111111111010100100000000000000010110000101010010110111000000000001001010000100111000011001010010000001100011000000000000000000000000000011100010000100100000011010010000110001111000010110111000110000000000000010000101000000000001110010111111111010100100000000000000010110000101010010110111000000000001000101000101010000011001010010000010111001000000000000000000000000000010100000000100110000011010010000111001111000010111100000110000000000000010000101000000000001110100111111111010100000000000000000010110000101001010110111000000000001001101000100111000011001010010000010000111000000000000000000000000000010100010000100100000011010010000111001111000011000011000110000000000000010000101000000000001101001111111111010100000000000000000010110000101010010110111000000000001000111000101000000011001010010000000110101000000000000000000000000000010100010000100100000011010010000111001111000011000111000110000000000000010000101000000000001100111111111111010100000000000000000010110000101010010110111000000000001000111000101001000011001010010000000010100000000000000000000000000000010100010000100100000011010010000111001111000011001001000110000000000000010000100000000000001110110111111111010100100000000000000010110000101011010110111000000000001000111000101010000011001010010000011000000000000000000000000000000000010100000000100101000011010010000111001111000011001101000110000000000000010000100000000000001101001111111111010100000000000000000010110000101011010110111000000000001001010000100111000011001010001111000010111000000000000000000000000000011100010000100101000011010010000110001111000011011001000110000000000000010000100000000000001110001111111111010100000000000000000010110000101011010110111000000000001001001000101010000011001010001111011001011000000000000000000000000000011100000000100100000011010010000110001111000011100100000110000000000000010000100000000000001101001111111111010100000000000000000010110000101010010110111000000000001000111000101000000011001010001111010010101000000000000000000000000000011100000000100100000011010010000110001111000011101010000110000000000000010000100000000000001101001111111111010100100000000000000010110000101010010110111000000000001001000000101000000011001010001111001010001000000000000000000000000000010100000000100100000011010010001010001111000011101101000110000000000000010000100000000000001100011111111111010100000000000000000010110000101001010110111000000000001000100000101010000011001010010000001001000000000000000000000000000000010100000000100110000011010010001001001111000011110000000110000000000000010000100000000000001101000111111111010100000000000000000010110000101001010110110000000000001000001000101100000011001010010010010110000000000000000000000000000000010100000000100111000011010010001001001111000011110010000110001000000000010000100000000000001101000111111111010100000000000000000010110000101000010110110000000000001000100000101001000011001010010100001010000000000000000000000000000000010100000000100111000011010010001001001111000011110110000110001000000000010000100000000000001101011111111111010100000000000000000010110000101000010110110000000000001000100000101010000011001010010100001001010000000000000000000000000000010100000000100111000011010010001010001111000000001000000110001000000000010000100000000000001100100111111111010100000000000000000010110000101000010110110000000000001000001000101011000011001010010100010111110000000000000000000000000000010100000000100101000011010010001010001111000000001100000110001000000000010000100000000000001100010111111111010100000000000000000010110000100111010110101000000000001000010000101011000011001010010100011000010000000000000000000000000000010100000000100101000011010010001010001111000000010000000110001000000000010000100000000000001101011111111111010100000000000000000010110000100111010110101000000000001001000000101000000011001010010100010101100000000000000000000000000000011100000000100101000011010010001001001111000000011010000110001000000000010000011000000000001101001111111111010100000000000000000010110000100111010110101000000000001000101000101001000011001010010100001100011000000000000000000000000000010100000000100101000011010010001010001111000000100101000110001000000000010000011000000000001100000111111111010100000000000000000010110000100111010110101000000000000111111000101010000011001010010100010111011000000000000000000000000000010100000000100100000011010010001001001111000000101010000110001000000000010000011000000000001101111111111111010100000000000000000010110000100110010110100000000000001001000000101001000011001010010100011000110000000000000000000000000000011100000000100110000011010010001001001111000000110110000110010000000000010000011000000000001100000111111111010100100000000000000010110000100101010110100000000000001000100000100111000011001010010100000100011000000000000000000000000000010100010000100110000011010010001001001111000000111100000110010000000000010000011000000000001101011111111111010100000000000000000010110000100101010110100000000000001000110000100111000011001010010100010010011000000000000000000000000000011100010000100110000011010010001010001111000001001001000110010000000000010000011000000000001101001111111111010100000000000000000010110000100101010110100000000000001000111000100111000011001010010100001111111000000000000000000000000000011100010000100110000011010010001001001111000001010011000110010000000000010000011000000000001100100111111111010100100000000000000010110000100101010110100000000000001000100000101001000011001010010100000011010000000000000000000000000000010100000000100110000011010010001010001111000001011000000110010000000000010000011000000000001101001111111111010100000000000000000010110000100101010110100000000000001000111000100111000011001010010111010101110000000000000000000000000000011100000000100100000011010010001100010000011001011111001010101001011000010000011000000000010100011111111111000100100000000000000010110000101010010110100000000000010000110000101111000101101010000010010110000000000000000000000000000000010100010000100100000011010010001010010000011001100110001000010001101010010000010000000001000010101111111111000100000000000000000010110000101010010110100000000011010110010000110011000111001010000110000001011000000000000000000000000000010000001000100100000011010010001011010000011001101010001010000001110110010000010000000001000011011111111111000100100000000000000010110000101010010110100000001011010001001001010110000111100010001001010110000000000000000000000000000000011000011000100100000011110010001010010000011001110111001110001001101100010000010000000000010011000111111111000100100000000000000010110000110010010110100000001111000011110001100001000011001001111000000010101000000000000000000000000000010000001000100100000011010010001011001111000001111001000110010000000000010000010000000000001001000111111111010100000000000000000010110000110010010110100000001110000110101000110110000011001001111100000010000000000000000000000000000000011100001000100100000011010010001011001111000001111100000110010000000000010000010000000000001011101111111111010100100000000000000010110000101010010110100000001101001110010001000000000101101001111111000010011000000000000000000000000000011100001000100100000011110010001010010000011001111111001100010001101000010000010000000000011000000111111111000100000000000000000010110000101010010110100000001101001100010001100001000110110001110111010110001000000000000000000000000000010100011000100100000011110010001011010000011010001010001110010001101000010000010000000000010111010111111111000100100000000000000010110000101010010110100000001111001100001001101011000111001001101111001111100000000000000000000000000000010000011000100100000011110010001011010000011010100010001101010001110001010000010000000000011010001111111111000100100000000000000010110000101010010110100000010001001100100001111110001000000001110100010010111000000000000000000000000000011100001000100100000011110010001011010000010010101101000110010000000000010000010000000000000101110111111111010100100000000000000010110001000110010110100000010010000011110001010100000011001001110101000001001000000000000000000000000000010000001000100100000011010010001001001111000010101110000110010000000000010000001000000000001001101111111111010100100000000000000010110000101010010110100000010001000111011000110000000011001010000000000001111000000000000000000000000000010100000000100100000011010010001010001111000010110000000110010000000000010000001000000000001011111111111111010100000000000000000010110000101010010110100000001111001000001000101100000011001010000010000010001000000000000000000000000000010100000000100100000011010010001010001111000010110010000110010000000000010000001000000000001100001111111111010100000000000000000010110000101010010110101000001101001000001000101110000011001010000110011000100000000000000000000000000000011100000000100100000011010010001010001111000010110100000110001000000000010000001000000000001100011111111111010100100000000000000010110000101010010110101000001100001000010000101110000011001010001000001001011000000000000000000000000000011100000000100100000011010010001011001111000011000000000110001000000000010000001000000000001100010111111111010100000000000000000010110000101010010110101000001011001000000000101111000011001010001000011000011000000000000000000000000000011000000000100100000011010010001011001111000011000101000110001000000000010000001000000000001011011111111111010100000000000000000010110000101010010110101000001010000111111000101101000011001010000100010110011000000000000000000000000000011100000000100100000011010010001011001111000011001100000110001000000000010000001000000000001011111111111111010100000000000000000010110000101010010110101000001001001000010000101101000011001010000110000010101000000000000000000000000000010000000000100100000011010010001011001111000011001100000110001000000000010000001000000000001100011111111111010100000000000000000010110000101010010110110000001000001000001000101101000011001010001011001000011000000000000000000000000000010100000000100100000011010010001010001111000011011001000110001000000000010000001000000000001011111111111111010100100000000000000010110000101010010110110000000111001000001000101100000011100010001011000010011000000000000000000000000000011100010000100100000011010010001011010000010011100101001010001000000000010000001000000000010100100111111111000100000000000000000010110000101010010110110000000110001101110000100110000011001010000111000101001000000000000000000000000000010100000000100100000011010010000110001111000011101101000110001000000000010000001000000000001011111111111111010100000000000000000010110000101010010110110000000110001000111000101000000011001010000111000001100000000000000000000000000000010100010000100100000011010010000110001111000011101110000110001000000000010000001000000000001101111111111111010100000000000000000010110000101010010110110000000100001001010000101001000011001010001100001110001000000000000000000000000000011100000000100100000011010010000111001111000011101111000110000000000000010000001000000000001100001111111111010100000000000000000010110000101010010110111000000010001000011000101100000011001010001011011000010000000000000000000000000000011100000000100100000011010010000110001111000011110010000110000000000000010000001000000000001101100111111111010100000000000000000010110000101010010110111000000000001001011000101000000011001010001101000010111000000000000000000000000000010000010000100100000011010010000110001111000011110011000110000000000000010000000000000000001101111111111111010100100000000000000010110000101010010110111000000000001000110000101000000011001010001111010101111000000000000000000000000000011100000000100100000011010010000111001111000011111100000110000000000000010000000000000000001100101111111111010100100000000000000010110000101010010110111000000000001001000000101000000011001010001111010101111000000000000000000000000000011100000000100110000011010010000110001111000000000010000110000000000000010000000000000000001101101111111111010100000000000000000010110000101001010110111000000000001001100000100110000011001010001111000011100000000000000000000000000000011100000000100110000011010010000110001111000000000111000110000000000000010000000000000000001101101111111111010100100000000000000010110000101001010110111000000000001001100000100111000011001010001111000011110000000000000000000000000000011100010000100110000011010010000110001111000000001110000110000000000000010000000000000000001101111111111111010100000000000000000010110000101001010110111000000000001001000000101010000011001010001111011001001000000000000000000000000000011100000000100111000011010010000110001111000000010100000110000000000000010000000000000000001101101111111111010100100000000000000010110000101001010110111000000000001001100000100110000011001010010001001001001000000000000000000000000000010100010000100110000011010010000110001111000000011010000110000000000000010000000000000000001101001111111111010100100000000000000010110000101000010110111000000000001000110000101000000011001010010001000010110000000000000000000000000000010100010000100111000011010010000110001111000000011110000110000000000000010000000000000000001110000111111111010100000000000000000010110000101001010110111000000000001001111000100110000011001010010010011000110000000000000000000000000000011000000000100100000011010010000110001111000000011111000110000000000000010000000000000000001101011111111111010100000000000000000010110000101010010110111000000000001000101000101001000011001010010000010001000000000000000000000000000000010100000000100110000011010010000110001111000000100100000110000000000000010000000000000000001110010111111111010100000000000000000010110000101001010110111000000000001001101000100110000011001010010001000101101000000000000000000000000000010100010000100110000011010010000110001111000000101100000110000000000000001111111000000000001110010111111111010100000000000000000010110000101001010110111000000000001001100000100111000011001010010001001001111000000000000000000000000000011100010000100110000011010010000110001111000000111110000110000000000000001111111000000000001110010111111111010100100000000000000010110000101001010110111000000000001001010000101000000011001010010001000100000000000000000000000000000000010100010000100110000011010010000111001111000001001110000110000000000000001111111000000000001101100111111111010100000000000000000010110000101001010110111000000000001001000000101010000011001010010001011000110000000000000000000000000000011100000000100111000011010010000110001111000001010010000110000000000000001111111000000000001100101111111111010100100000000000000010110000101000010110111000000000001001000000100111000011001010010001000010010000000000000000000000000000010100010000100110000011010010000110001111000001010110000110000000000000001111111000000000001110011111111111010100000000000000000010110000101001010110111000000000001000110000101010000011001010010010010110010000000000000000000000000000010100000000100110000011010010000110001111000001011010000110000000000000001111111000000000001101110111111111010100000000000000000010110000101001010110111000000000001001011000100111000011001010010101010000010000000000000000000000000000010100010000100110000011010010000111001111000001100011000110000000000000001111111000000000001101011111111111010100100000000000000010110000101001010110111000000000001000100000101011000011001010010101000101101000000000000000000000000000010100000000100110000011010010001001001111000001101100000110000000000000001111111000000000001100101111111111010100000000000000000010110000101001010110111000000000001000001000101100000011001010010101000100000000000000000000000000000000010100000000100111000011010010001001001111000001101110000110001000000000001111111000000000001100101111111111010100100000000000000010110000101000010110110000000000001000010000101001000011001010010110001000001000000000000000000000000000010100000000100101000011010010001001001111000001110000000110001000000000001111111000000000001100101111111111010100000000000000000010110000100111010110110000000000001000100000101001000011001010010111000010000000000000000000000000000000010000000000100101000011010010001011001111000001110010000110001000000000001111110000000000010010001111111111000100100000000000000010110000101100010110110000000000001111101000111110000101111010000001010101000000000000000000000000000000010100011000100111000011010010001001010000010001111100001000001001101100001111110000000001000010011111111111000100000000000000000010110000101100010110110000000011010011001000111011000110101010001001001010101000000000000000000000000000010100011000100111000011010010001010010000010010000010001001100001110001001111110000000001000100000111111111000100100000000000000010110000101100010110101000001010010001010001010001000111010010001101010010001000000000000000000000000000011000011000100111000011110010001010010000010010001001001100111001110100001111110000000000011011011111111111000100100000000000000010110000101100010110101000001110000111010001100101000011100001111011011001001000000000000000000000000000011000001000100111000011010010001011001111000010001011000110001000000000001111110000000000001110100111111111000100000000000000000010110000111000010110101000001110010001110000111101000110010001111101000101000000000000000000000000000000010100011000100111000011010010001001010000010010001110000111110001110001001111110000000001000110001111111111000100000000000000000010110000101100010110100000010001010011110001000111000111100010001000000110001000000000000000000000000000011100011000100111000011010010001001010000010010100001001010101001110101001111110000000000011110011111111111000100000000000000000010110000101100010110100000010100001110000001010010000101110001111110011001000000000000000000000000000000011000001000100111000011010010001011001111000010100111000110010000000000001111110000000000001001011111111111000100001000000000000010110000111010010110100000010100001010100000111000000100101001111110011001010000000000000000000000000000010100011000100111000011010010001011001111000010101010000110010000000000001111110000000000001101010111111111010100000000000000000010110001000100010110100000010100000111101000111101000011001001111100010011101000000000000000000000000000011100001000100111000011010010001010001111000010111000000110010000000000001111110000000000001011001111111111010100100000000000000010110000101100010110100000010011000111101000110000000011001010000000000011111000000000000000000000000000010100000000100111000011010010001011001111000011000100000110010000000000001111110000000000001011111111111111010100100000000000000010110000101100010110100000010010001000001000101110000011001010000001001101110000000000000000000000000000010000000000100111000011010010001011001111000011001101000110010000000000001111110000000000001011110111111111010100001000000000000010110000101100010110100000010010001000001000101110000011001010000101000110000000000000000000000000000000011100000000100111000011010010001010001111000011010100000110010000000000001111110000000000001100001111111111010100100000000000000010110000101100010110100000010001001000000000101111000011001010000110011000010000000000000000000000000000010100000000100111000011010010001001001111000011100110000110010000000000001111110000000000001100011111111111010100100000000000000010110000101100010110100000010000001000001000101111000011001010001000011000001000000000000000000000000000010100000000100111000011010010001010001111000011101000000110010000000000001111110000000000001100100111111111010100001000000000000010110000101100010110100000001101001000011000101101000011001010001011000010110000000000000000000000000000010000000000100111000011010010001010001111000011101100000110010000000000001111110000000000001100011111111111010100000000000000000010110000101100010110100000001010001000010000101110000011001010001100001100101000000000000000000000000000010100000000100111000011010010001010001111000000000100000110010000000000001111110000000000001100001111111111010100100000000000000010110000101100010110100000001000001000000000101110000011001010001011000111110000000000000000000000000000010100000000100111000011010010001001001111000000001000000110010000000000001111110000000000001100001111111111010100000000000000000010110000101100010110100000000111001000010000101100000011001010001011000101010000000000000000000000000000010100000000100111000011010010000111001111000000001010000110010000000000001111110000000000001100100111111111010100100000000000000010110000101100010110100000000101001000011000101101000011001010001111001110000000000000000000000000000000011100000000100111000011010010001001001111000000011000000110001000000000001111110000000000001100111111111111010100100000000000000010110000101100010110100000000100001000101000101011000011001010010000000011000000000000000000000000000000010000000000100111000011010010000111001111000000011100000110001000000000001111110000000000001101000111111111010100100000000000000010110000101100010110101000000000001000011000101100000011001010010100000011001000000000000000000000000000010100000000100101000011010010001001001111000000100100000110001000000000001111110000000000001101001111111111010100100000000000000010110000101010010110101000000000001000100000101100000011001010010101000011110000000000000000000000000000010000000000100100000011010010000111001111000000100111000110001000000000001111110000000000001100101111111111010100000000000000000010110000101001010110101000000000001000100000101010000011001010010111010001101000000000000000000000000000010100000000100110000011010010001011010000010000101100001010100001011000001111110000000000010110100111111111000100100000000000000010110000101001010110101000000000010000111000111011000110001010000001000100011000000000000000000000000000010100011000100110000011010010000111010000010000110100001001101001101010001111110000000001000011111111111111000100100000000000000010110000101001010110101000000100010101001000110100000110100010001101000101000000000000000000000000000000011100011000100110000011010010001011010000010001000100001010011001101110001111110000000000011101001111111111000100100000000000000010110000101001010110101000001010001110001001010001000110011010001001011000010000000000000000000000000000011000001000100101000011010010001000001111000001001011000110001000000000001111110000000000001010000111111111010100000000000000000010110001000001010110101000001100000110011001000000000011001010000110000010000000000000000000000000000000011100001000100110000011010010001010001111000001001101000110001000000000001111110000000000001011001111111111010100000000000000000010110000101001010110101000001010000111111000101100000011001010000000000011011000000000000000000000000000010100000000100110000011010010000110001111000001010010000110001000000000001111110000000000001100010111111111010100000000000000000010110000101001010110101000000111001000101000101010000011001010000100000001011000000000000000000000000000010000000000100110000011010010001001001111000001010010000110001000000000001111110000000000001100100111111111010100000000000000000010110000101001010110110000000100001000011000101100000011001010001001010110100000000000000000000000000000010100000000100110000011010010000110001111000001010110000110001000000000001111101000000000001100101111111111010100000000000000000010110000101001010110110000000010001000010000101100000011001010001011010000000000000000000000000000000000010100000000100110000011010010001010001111000001011010000110001000000000001111101000000000001100101111111111010100100000000000000010110000101000010110110000000000001000100000101010000011011010001110000010000000000000000000000000000000010000010000100111000011010010000111010000010001011011001001101001100011001111101000000000011010100111111111000100100000000000000010110000101000010110110000000000010011010000110110000110101010000000000001100000000000000000000000000000010100011000100111000011010010001000010000010001100010001000101001110001001111101000000001001000111111111111000100000000000000000010110000101000010110110000000111010101001001000000000111011010001101010011010000000000000000000000000000010100011000100111000011010010000000010000010001101011001010111001110101001111101000000000011111001111111111000100100000000000000010110000101000010110110000001100010000110001100010001000000010000111010010101000000000000000000000000000011100011000100111000011110010000110010000010001110011001100001001111101001111101000000001000011100111111111000100100000000000000010110000101000010110110000010010010000000010000111001001010010000101001011111000000000000000000000000000010100001000100111000011110010000110010000010001111011001100010001111111001111101000000000011100101111111111000100100000000000000010110000101000010110111000010110000101010010011101000101000001110011000100111000000000000000000000000000010000001000100111000011010010001000010000010001111100001010001001011011001111101000000000010100101111111111000100100000000000000010110000110100010110111000011000001000100001100010000011100001111001011001100000000000000000000000000000010100001000100111000011010010000111001111000010000000000110000000000000001111101000000000001001111111111111010100100000000000000010110000101000010110111000011000000111110000101010000011001010000000000001000000000000000000000000000000010100000000100111000011010010000110001111000010000000000110000000000000001111101000000000001101000111111111010100100000000000000010110000101000010110111000010111001000101000101011000011001010000010010101110000000000000000000000000000010100000000100111000011010010000100001111000010000100000110000000000000001111101000000000001101100111111111010100000000000000000010110000101000010110111000010010001001110000100110000011001010000101000001111000000000000000000000000000010000010000100111000011010010000110001111000010001001000110000000000000001111101000000000001101100111111111010100000000000000000010110000101000010110111000001011000111011000110110000011001010000110011000011000000000000000000000000000011000001000100111000011010010000011001111000010010000000110000000000000001111101000000000001011000111111111010100000000000000000010110000101000010110111000000111001000000000101110000011001010000000000001011000000000000000000000000000010000000000100111000011010010000111010000010010010000001010010000000000001111101000000000010011011111111111000100100000000000000010110000101000010110111000000110001100010000101110000100001010000110010011101000000000000000000000000000011100010000100111000011010010000101010000010010010101001010011000000000001111101000000000010001110111111111000100100000000000000010110000101000010110111000000111001100111000110101000101100010000000000001110000000000000000000000000000011100011000100111000011010010000111010000010010100010001011000001100011001111101000000000011001000111111111000100000000000000000010110000101000010110111000001001001101010001000111000101110010000000001110011000000000000000000000000000010100011000100111000011010010000111010000010010111100001101011001100011001111101000000000010010101111111111000100000000000000000010110000101000010110111000001100001010000001010011000101110001111001010111001000000000000000000000000000010100001000100111000011110010001000010000010011000111001101110001011111001111101000000000010000011111111111000100100000000000000010110000101000010110111000001101001000011001011100000101011001110010010101100000000000000000000000000000011000001000100111000011110010000111010000010011010010001101110001011101001111101000000000001010100111111111000100100000000000000010110000101000010110111000001101000100100001011001000100000001101101010111100000000000000000000000000000011000001000100111000011110010000111010000010011010110001001101000000000001111101000000000001001000111111111000100000000000000000010110000101000010110111000001011000100101001001101000011011001101001001100000000000000000000000000000000010100001000100111000011010010000111001111000011011010000110000000000000001111101000000000000111110111111111010100000000000000000010110000101000010110111000001010000101001000111111000011001001110001000000110000000000000000000000000000010000001000100111000011010010000111001111000011011010000110000000000000001111100000000000001001100111111111010100100000000000000010110000101000010110111000001000000111000000110100000011010001111000000001000000000000000000000000000000010000001000100111000011010010001000001111000011011100000110000000000000001111100000000000001011101111111111010100000000000000000010110000101000010110111000000111001000001000101111000011010010000001000001101000000000000000000000000000010000000000100111000011010010000111001111000011011100000110000000000000001111100000000000001101101111111111000100000000000000000010110000101000010110111000000110001011110000101111000100011010001001000100100000000000000000000000000000011100010000100111000011010010001010010000010011100101001010100000000000001111100000000000010011101111111111000100000000000000000010110000101000010110110000001000001001100000110111000011111010000001011001011000000000000000000000000000011000001000100111000011010010001011001111000011100101000110001000000000001111100000000000001001010111111111010100100000000000000010110000101000010110110000001000000111010000101101000011001010000000000001110000000000000000000000000000010100000000100111000011010010001001001111000011100110000110001000000000001111100000000000001100000111111111010100000000000000000010110000101000010110110000001000001000010000101011000011001010000100000001010000000000000000000000000000010000000000100111000011010010001001001111000011100110000110001000000000001111100000000000001100000111111111010100100000000000000010110000101000010110110000000110001011111000110001000101010010000010000001110000000000000000000000000000010000011000100111000011010010001010010000010011101100001001110001100001001111100000000000011001100111111111000100000000000000000010110000101000010110110000000111001111001000110111000101100010000110000110101000000000000000000000000000010100011000100111000011010010001011010000010000001101001011100001011101001111100000000000010111001111111111000100100000000000000010110000101000010110110000001001001100000001000100000101011010000000010101001000000000000000000000000000011100011000100111000011010010001010010000010000010111001101110001011011001111100000000000001111001111111111000100100000000000000010110000110010010110110000001011000101100001001000000011001001110100000010000000000000000000000000000000010000001000100111000011010010001010001111000000011110000110001000000000001111100000000000001011000111111111010100000000000000000010110000110100010110110000001010000111011000110011000011001001111011000010101000000000000000000000000000010000000000100111000011010010001010001111000000011110000110001000000000001111100000000000001011100111111111010100000000000000000010110000101000010110110000001001001000010000101011000011001010000101000001010000000000000000000000000000010000000000100111000011010010001010001111000000011110000110001000000000001111100000000000001100000111111111010100000000000000000010110000101000010110101000000111001000010000101100000011001010001000000001111000000000000000000000000000010100000000100111000011010010001010001111000000100000000110001000000000001111100000000000001100011111111111010100000000000000000010110000101000010110101000000101001000011000101011000011001010001101000010111000000000000000000000000000010000000000100111000011010010001001001111000000100000000110001000000000001111100000000000001100101111111111010100000000000000000010110000101000010110101000000100001000001000101100000011001010010001000100010000000000000000000000000000010100000000100111000011010010001010010000010000101001001010001001011011001111100000000000010101100111111111000100100000000000000010110000101000010110101000000100001100111000111111000101100010000011000100001000000000000000000000000000010100011000100111000011010010001010010000010000111110001011000001100001001111011000000000011010100111111111000100000000000000000010110000101000010110101000000111010011001001010001000101010010000001011000101000000000000000000000000000011000001000100101000011010010001010010000010001001000001001111010000000001111100000000000001111101111111111010100100000000000000010110000110001010110101000001010000100111001000111000011001001111110000101100000000000000000000000000000010100001000100111000011010010001000001111000001001010000110001000000000001111100000000000001011011111111111010100100000000000000010110000101000010110101000001010001000000000101011000011001010000011000001101000000000000000000000000000010000000000100111000011010010001001001111000001001010000110001000000000001111011000000000001100001111111111010100000000000000000010110000101000010110101000001000001000010000101011000011001010001001000001100000000000000000000000000000010000000000100111000011010010001001001111000001001010000110001000000000001111011000000000001100110111111111010100000000000000000010110000101000010110101000000110001000100000101010000011001010001111000011000000000000000000000000000000010000000000100111000011010010001001001111000001001010000110001000000000001111011000000000001100100111111111010100000000000000000010110000101000010110101000000110001000010000101010000011001010010101001110000000000000000000000000000000010100000000100111000011010010001010001111000001001111000110001000000000001111011000000000001100000111111111010100100000000000000010110000101000010110101000000101001000010000101011000011001010010101000010101000000000000000000000000000010100000000100111000011010010001001001111000001010111000110001000000000001111011000000000001100101111111111010100000000000000000010110000101000010110101000000100001000011000101100000011001010010101000011000000000000000000000000000000010100000000100111000011010010001000001111000001100010000110001000000000001111011000000000001100101111111111010100100000000000000010110000101000010110101000000000001000011000101100000011001010010110001001010000000000000000000000000000010100000000100101000011010010001011001111000001100111000110001000000000001111011000000000001100011111111111010100000000000000000010110000100110010110101000000000001000000000101011000011001010010110010000011000000000000000000000000000010100000000100100000011010010001001001111000001111001000110001000000000001111011000000000010001000111111111000100000000000000000010110000100110010110110000000000001010101000101010000011111010010100011000011000000000000000000000000000011100010000100100000011010010001001010000010001111101001001100000000000001111011000000000010010011111111111000100100000000000000010110000100110010110110000000010001010100000101111000011111010000111011000111000000000000000000000000000011000000000100111000011010010001001001111000001111101000110001000000000001111011000000000001100000111111111010100100000000000000010110000100100010110110000000010001001111000100101000011001010000010000001101000000000000000000000000000010100010000100111000011010010001001001111000001111110000110001000000000001111011000000000001100011111111111010100000000000000000010110000100100010110110000000000001000010000101001000011001010000111000010001000000000000000000000000000010000000000100111000011010010001010001111000001111110001001001000000000001111010000000000010001110111111111000100000000000000000010110000101001010110110000000000001010100000110000000011111010001110011000110000000000000000000000000000011000000000100110000011010010001001010000010001111111001010100000000000001111010000000000001110001111111111000100000000000000000010110000101001010110110000000000001000011000101010000011001010000010001110110000000000000000000000000000010100010000100110000011010010000100001111000010000000000110001000000000001111010000000000001111110111111111010100000000000000000010110000101110010110110000000000001011110000101000000011110010000110000010000000000000000000000000000000010000010000100110000011010010000110010000010010000001001001101000000000001111010000000000010001110111111111000100000000000000000010110000101101010110111000000000001000110000101110000011001010000010010110011000000000000000000000000000011000000000100111000011010010000110001111000010000010000110000000000000001111010000000000001100001111111111010100000000000000000010110000101100010110111000000010001000111000101010000011001010000010000001011000000000000000000000000000010000000000100101000011010010000110001111000010000010000110000000000000001111010000000000001101001111111111010100000000000000000010110000101011010110111000000000001001000000101010000011100010000111000001011000000000000000000000000000010000010000100100000011010010000110001111000010000010000110000000000000001111010000000000010000001111111111010100000000000000000010110000101011010110111000000000001010000000100110000011001010001011010110111000000000000000000000000000011100010000100101000011010010000110001111000010000100000110000000000000001111010000000000001110100111111111010100000000000000000010110000101100010110111000000000001010010000100101000011001010001011010010111000000000000000000000000000011100010000100110000011010010000110001111000010000111000110000000000000001111010000000000001100111111111111010100000000000000000010110000101101010110111000000000001000101000101011000011010010001100000010010000000000000000000000000000010000000000100111000011010010000110001111000010001000000110000000000000001111010000000000001101001111111111010100100000000000000010110000101011010110111000000000001000101000101010000011001010001111000010011000000000000000000000000000010000000000100101000011010010000110001111000010001010000110000000000000001111010000000000001101110111111111010100000000000000000010110000101011010110111000000000001001000000101001000011001010010100000011110000000000000000000000000000010000000000100101000011010010000110001111000010001010000110000000000000001111010000000000001110001111111111010100000000000000000010110000101011010110111000000000001001000000101010000011001010011000001001000000000000000000000000000000010100000000100101000011010010000110001111000010011001000110000000000000001111010000000000001101111111111111010100000000000000000010110000101011010110111000000000001000101000101011000011001010011000000110101000000000000000000000000000010100000000100100000011010010000110001111000010100000000110000000000000001111010000000000001101011111111111010100000000000000000010110000101010010110111000000000001000110000101001000011001010011011000011001000000000000000000000000000010000010000100100000011010010000100001111000010100001000110000000000000001111001000000000001101100111111111010100100000000000000010110000101010010110111000000000001001010000100110000011001010011101010110010000000000000000000000000000011100000000100100000011010010000011001111000010100101000110000000000000001111001000000000001101100111111111010100000000000000000010110000101001010110111000000000001001010000101000000011001010011011000011010000000000000000000000000000010100010000100100000011010010000100001111000010101010000110000000000000001111001000000000001111101111111111010100100000000000000010110000101100010110111000000000001001110000101000000011001010011010010111101000000000000000000000000000011000000000100111000011010010000011001111000010101011000110000000000000001111001000000000001101110111111111010100000000000000000010110000101100010110111000000000001000110000101001000011001010010100000111001000000000000000000000000000010100000000100111000011010010000010001111000010101101000110000000000000001111001000000000001110100111111111010100000000000000000010110000101100010110111000000000001001110000100110000011001010010101000100010000000000000000000000000000010000010000100111000011010010000010001111000010101110000110000000000000001111001000000000001111011111111111010100100000000000000010110000101110010110111000000000001010010000100110000011001010011000010010100000000000000000000000000000011000010000100101000011010010000010001111000010101111000110000000000000001111001000000000001111000111111111010100000000000000000010110000101111010110111000000000001001011000101001000011001010010101000011011000000000000000000000000000010000000000100100000011010010000101001111000010110010000110000000000000001111001000000000001101010111111111010100000000000000000010110000101110010110111000000000001000100000101011000011001010011000000010110000000000000000000000000000011100000000100110000011010010000110001111000010110111000110000000000000001111001000000000001101011111111111010100100000000000000010110000101100010110111000000000001000100000101101000011001010011010011000110000000000000000000000000000011100000000100111000011010010000110001111000010111011000110000000000000001111001000000000001100110111111111010100000000000000000010110000101011010110111000000000001000011000101011000011001010011010000110101000000000000000000000000000011100000000100101000011010010001000001111000011001001000110000000000000001111001000000000001100100111111111010100000000000000000010110000101010010110111000000000001000000000101101000011001010011010011000001000000000000000000000000000011100000000100110000011010010001000001111000011010100000110001000000000001111001000000000001100100111111111010100000000000000000010110000101001010110110000000000001000001000101011000011001010011010000101101000000000000000000000000000010100000000100111000011010010001001001111000011011111000110001000000000001111001000000000001100010111111111010100000000000000000010110000100111010110110000000000001000000000101011000011001010011010000000001000000000000000000000111111111000000000000010110001100010010110110000000000011010001000000000000011000010000000000000001000000111111111000100000000000000000010110001110001010110110000000000011110100000000000000011000010000000000000001000000000000000000000000000000000000011110110011111010000000000010000000000000000000000000000000000001111000000000001011111100