010111011010100100101010110010111011101001000010000110100101101011111010110010100000101010100111100000001101010110011110001111001011111010100001000101100101111000011101010000110100100111001011110001110000100101000110101011100101110110101001101000011001111000111101111010111100110101000110100000100001011101010111001011111011001001000101110100111011111011010111011011110110011001000101100110010010001011101101101111011111011111101010011011010100011000110101100111010011110000001100111100011110010111010110111101111110100110101100100111000000011011101001101110111111010100101011100101111000101100110000101111111111010111111101010101100100110010111100001011111011111010101011001011111010111110011110001111011110101111001101010001101000001000010111010101110010001101101010001100011011110101100011111110001101010010110110011110001111011110101111001111000010100001000110100111110000101011101001011010111110111101011000111111000111000011101101011010001001100001010001111001111000111100101111101100100100010100111100100111111000010000101010100010010101110101110111110011101101101010001101000010110101100110010001010001111010111100101011011001111000111100101111101100111111111001001101010111001000110110101000110001100101100001001111111100111100011110011111110011111110010111011010011111111101111100111011000011010100011011111110000101001011010111110000010010001000111010110001111110001101011111111000101111101001011010111110001000010110000000110101001011001010111011100010011111011100011010010110101111100101001111001110101100000100001000111101010001101000010110111000010110110100001001001010101100101110111010010000100001101001011010111110101100101000001010101001111000000011010100101011101011101000010010100011100100100011010001011001111000111101110000101101101011010111111111000010111100000101101100000010101010011010000110010001101101110001001011001100001111111010010110101111101000110111111111110001101001001011010001101111000010000011110110100100101011101010011111010110101001010101100110011110111011111011111101001101111010100101111001010111100010110010110110011001111011110101011010001001001011000000110100101101011111011101010000101110011111100000100110100011110101001111101110000101101101110010111111100001001000110001001010111011110101101100000001110011010100111001011101011111111001101100000000101101001011010111110111101011000011100111111100000111101010100001100101110111111010011010110011010100100001000001000110100010001001010111010110011000011000011010110010100110111111100001010010110101111101111010011101111000010000100111111001011000010011110010011010101110100101101011111011100001011011001011100010001011010001000011111010110010101110101101100111111101111111101111110101000010101110100101101011111000110111111100001000000110111100001011111010001111110011111011001001010111100111110000101011100001011001111111001000010100101011011100001011011010000100111111100010000110010100011111111101011111100101001010110011110001111011100001011000100001000010001111101001101110111110110101111000111101011011111010110010110011000101100111011110100111101100110011110111101010110100010010010110000001101001011010111110111010100001011100111111000001001101000111101010011111011100001011011011100101111111000010010001100010010101110101100100100001110000100111111001110010111100110010110001001111110000101011100101110110101111001110010101101101011001000110011011001011110010100111101110001111101010111001011111011001111110100100111001011110001010011111111111110010010101110101100110100010100010000010110110111101011001001100001011110110100010000100000101011100101111101100111111010110110010111010111111110011011000000001001010111010110011101001011011100101011011001011111010111111111000101001011001010111001011111011001111110101101100101110000001000110101001110110010101110101100100100001110000100111111001110010111011010010110111000100101100101011101011001000010000011010011010001111001011110001110000100101000110101011101011001010011000111111001110010111011100110100101000001010111001011101101010011011000010001100100100111001011110001110000100101000110101011101011110011111001000100011101000011111110011110001111001011101010010111001101101100101111000111000010010100011010101110101110001110010001001001000010111010101110100101101011111011110101100100111111011110000010001100001100101111000111000010010100011010101110101101010010001100011001111000111100101111001000101100011101001101111010110000111001111111000000000101100101111000111000010010100011010101110111101001100100101100000011011110101111111000110101111111100010111110111101001110111100001000010011111100101100001001111001001111101001101110111110111011001011111010111111101010010111100111110100111101100110011110111101010110100010010010110000001101001011010111110111010100001011100111111000001001101000111101011001100001100001101111010111111100011010111111110001011111011110100111011110000100001001111110010110000100111100100110101011101010011111001011101101001111111000100001010011101111010011111101001100101110101111111000000011000001010111010110101001000110001100111100011110010111100100010110001110100110010111010100101110011011011001011111011110100110010111010111111100000001100000101011100101111110011010010000111100111111001110101100101111010011011110101111111001110101111010110011111110111010101110101101010010001100011001111000111100101110101100001111111110001000011001011101111110100110111101011111110011101011110101100111111101110101011101011001000110011011001011101101010011111111110111010001100101011101011010100100011000110011110001111001011111010100111001001110010001000011001011101101010011111111110111010001100101011101001011010111110010111110110011111101011011011110101111001111110110000010110010101110101101001101111101000110111111111110000001111110000010110110100000100101100000010111110101101010010100011110111000000111010011011101111101111110100110101100110001011001100101101011110011011001011111010111101100110011110111101010110100010010010110000001101001011010111110111010100001011100111111000001001101000111101010011111010100011000110101100100111000000111110100111001100101101101011001101011110011111110111110011110001111011110101100011111100011100001000010001001000111011000011111001011010001101111111111011110100110011111111000010010001001101100101111101010000100010010001110110001001010111010100011000110101100100111000000111110100111001100101101101011001101010011101011000000011001011110000111111001010000010100101100101011101000110111111111110000001011111001000110110101100111000010110111001011101001011111111111101111100100011011001011101101111011001100100001011101101111011001100101000010101110101000110001101011001001110000001111101001110011001011011010110010111111100111100110101100101111000011111100101000001010010110010101110010001100010101001001010111100101000010111110010001101101010001100011011100101001010010110110011110001111010110011100001011011100101110100101111111111110111010101110100101101011111010100011000110101100100111000000111110100111001100101101101111010111011111100000011001011111010100001000100100011101101001111110101101100101111000011111100101000001010010110010101110101100101101101011111010110010100110111111100001010010110101111101111010011101111000010000100111111001011000010011110010011010101110101001111101110101000110100101010001010010000010000010111110101001111101010001100011011100100111001111110100101010011110101100000001101111000010000001011010010110101111100101001111001111101010001110010000001011001111000111100010100101001011111001011110000111111001010000010100100000001011101001101110111110111111010011011110101011110100110101100101111101011110110011001111010110010010001110100001111111010100011000110010100100101011011100000001101010110011110001111010100011000110100011011111111000100010011101000110100010110100000001000101001111001010000000101101001011010111110111010100001011100111111000000010101000100101011101001011010111110101000110001100101001001010110111000000011010101100111100011110111000010110110010111000111110000101010110101110001110101101000100101011101000111111000110000111111001100001101110010011100111111100010000001001010111010010110101111100001011001111010100000011000100000010110100011011111111110001000010101010100000100011010001011011100001011011011110101101001010101001101000001010111011110101011010001001001011000000110100101101011111011101010000101110011111100000100110100011110100110000100001101010001100011011111000111000100101000110101110001111111010010110101111101111100000100100101111111000001100111100011110111000010110110111101011010010101010011010000010101110010111100100010011000011010010110101111100101111110001111100100111011010011000001010111001111111111001011111010100101100111100010111010101110011110001111010110100110100111001001111011110101011000100011100110000100001101011101000001100010000010001011100100001011111001111111111001010001110010001000000100010000101110101011101010011111010100011000110111101011101110110111010011011110101100001110011111110000000001011011110101101111010011011110100110011111111111010100000100101011100111100011110101100111001111111110100011100111100001010010100111011001010111010010110101111100101110101100001111111110001000011001011101111110100110111101011111110011101011110101100111111101110101011100111100011110111101011110011010100011010000010000101110101011101010011111000111001101100000011010010110101111101010011111000110111100001011111010100011000110001010011110000001101010011111010100011000111000010101110101000110001100010100101001011111011110101100001110011111110000000001011011110101101111010011011110100110011111111111010100000101101001011010111110010111010110000111111111000100001100101110111111010011011110101111111001110101111010110011111110111010101110101000110000100111111100011000010011111001011010010110101111101001001000100100100010011000100101011101010011111010100011000010011111110111100001000011010010110101111101110101000001101110111100011110100011011111111000101100000011111010101110010001101101010111111111000010101001010111000110111101101000101100000011111010101110100101101011111010001101111111111010100011000110111100001000000101101001011010111110010100111100111110101000111001000000101100011000111110000100011011000100101000001110010100100011010000010111010101110101001111101110101000110001000011100111110011111000101111101001101011001000110101000011111000001010101101001011010111110111000100101101001100010000101111101001001011010010110110100111100111100111110011100011110010000100110100100011010001011010001111110001101011101010111011101010101101101010001100011000101001010010111110111101011000011100111111100000000010110111101011011110100110111101001100111111111110101000001011010010110101111100101110101100001111111110001000011001011101111110100110111101011111110011101011110101100111111101110101011101111000110101001001000011010100011000110101010110101111101011001101011110011111110111001011001111000111101011001011111111110000101010000000001001010111000110001111100001000110100110001110100001111111001010011111011110110000100101110001011111010001101111111101010111000100011100110000100001100011100110110000001101110101000000011011010111111100100000101101101110010111011000101010010010101111001010000101111101001011010111110011111111100010100101100100010111001000010111010101110100110101101011010011010011100100111101010010011100000011010100011000110001010010100101111101011001101011110011111110111001011001111000111101011001011111111110000101010000000001011000100011100110000100001101110101000110100111110010100011011111111010001011100100001011101010111010010110101111100100101011001000010110001100011111000111010101011011011100010011011100011010100011000010011111110101111111001010010110110101001111101011100011100010010110101111101001011010111110111110001110010000100101100000011001111000111101010001100011000101001010010111110111101011000011100111111100000000010110111101011011110100110111101001100111111111110101000001011010010110101111100101110101100001111111110001000011001011101111110100110111101011111110011101011110101100111111101110101011101010001100001001111111011110101110000100111110010010101110111101011011011001111000111001111100101001111111100100101011101001011010111110101100100101111110000100011001000010101011111100110100111111110010010101110101000110000100111111101111100000100101000001110011010010010110000001100101001111101110101000111111111010010001110110001011001111000111100010100101001011111011111000111000100101000110101110001111111010010110101111101111100000100100101111111000001100111100011110001010010100101111101111010110100101010100110100000101011101010001110011010110010000101101010011111000101001010110010101110101000110001101011001101011110011111110111110011110001111010110010111111111100001010100000000010110011110001111010100011000110010111100011100001001010001111010110010011100110011011100011100001011001010111010100011000110001011110011100011001111000111100101111000000101100000001101010010110110111101001100100101100000011010110010100110111111100001010010110101110101011100101110101011011001100100100101100110010010101010101011101101101010111011011010101110110110101010101011101100011011110100111011110000100001001111110010010101110100101101011111010100011000110101100110101111001111111011111001111000111101011001011111111110000101010000000001011001111000111101010001100011001011110001110000100101000111101111010110001111000010000000100010000010101110101000110001100010111100111000110011110001111010110010100111111100000011011110101111111000110101111111100010111110101100101001101111111000010100101101011101010111001011101010110110011001010010101110110110101011101101101010101010111011011010101110110110101011101101101010101010111011000110111101001110111100001000010011111100100101011101010011110001000010100011000111111101011010100101000111101011010011100110100001011000000111111100001011001111111001000001000101100111100011110001010010100101111101111100011100010010100011010111000111111101001011010111110111110000010010010111111100000110011110001111000101001010010111110111101011010010101010011010000110101000110001111100011011100010010101101101110101000010101110100111101010111101100000011010100011000110101100101001111111000000110111101011111110001101011111111000101111101001011010111110010111100000010110000000110101001011011011110100110010010110000001101011001010011011111110000101001011010111110010111010101101100110010100110110011001001001011001100100101010101010111011011010101110110110101011101101101010101010111011000110111101001110111100001000010011111100100101011101001111010101111011000000110111010100001011100111111000001001101000110001011101010111001000110111001100001111001011101000110100010110101000110001100100011010100001111100000101010110100101101011111001000110111001011111100000011010110100110100111001001111000100011100110000100001100011100110110000001101001111001111001111111111000001011111011110001010001110110110001010010100101111101111100011100010010100011010111000111111101001011010111110111110000010010010111111100000110011110001111000101001010010111110111101011010010101010011010000010101110100101101011111010100011000110001010010100101111101111010110000111001111111000000000101101111010110111101001101111010011001111111111101010000010110100101101011111001011101011000011111111100010000110010111011111101001101111010111111100111010111101011001111111011111010011111100011000110001111100011101010101101101011101001111100011100110100001011111010100111110010100100101011011001111011000000111111101010001100011010011000110111111110000010100101001011111000101111001110000010110011110001111011100001110110000010110010101110100101101011111000101001010010111110000101100111111100100000100010010101110010001101010000111110000010101011010010110101111100100011011100101111110000000101011101010011111010100011000110001010010100101111101011001101011110011111110111001011001111000111101011001011111111110000101010000000001001010111001000110110101000110001101110001001011001100001111111010010110101111100101001111101110101000111111111010010001110110110111010100010001101111111100011001010011111000001011100111111010011101010001011101010111010010010110001001110111011011010010010110101000110001100010100101001011111010110011010111100111111101110010110011110001111010110010111111111100001010100000000010110001000111001100001000011000111001101100000011011101010000000110110101111111001000001011011001111111110001010010110010001011100100001011101010111010100011100110101100100001011010100111110001010010101100101011100101111000000101100000001101010010110110111101001100100101100000011010110010100110111111100001010010110101110101011100101110101011011001100100100101100110010010101010101011101101101010111011011010101110110110101010101011101100011011110100111011110000100001001111110010010101110101001111101010001100011000101001010010111110101100110101111001111111011111001111000111101011001011111111110000101010000000001011001111000111101010001100011001011110001110000100101000111101011001001110011001101110001110000101100101011101001011010111110101100101001111111000000110111101011111110001101011111111000101111101011001010011011111110000101001011010111110010111010101101100110010100101011101101101010111011011010101010101110110110101011101101101010111011011010101110110001101111010011101111000010000100111111001001010111010010110101111100010100101001011111000010110011111110010000010001001010111001000110101000011111000001010100101011101001011010111110010001101110010111111000000010101110101001111101010001100011000101001010010111110101100110101111001111111011111001111000111101011001011111111110000101010000000001011001111000111101010001100011001011110001110000100101000111101111010110001111000010000000100010000111010011001011111111111011110110000100101110001011101010111000110111101101000101100000011111010101110101000111001101011000101111001110010011110010100100101011011100000001101010001011011100010010101101101110101000110111000100110111000110111010101011011010011101000000010001010011000011010101111110010110001010001100011111110100101101011111010111000100000100101100000011111010110110101001111100010100101001011111010110011010111100111111101110010110011110001111010010110010110110011110001111010100011000110101110100100011100011000111110000110101011011110111010001101011100101100111100011110010100111110111010100000111111010010110110101001111101010001100011010011110000111111100011010101101111100001011100111111000100111110001011101010111010100111100010000101000110001111111010110101001010001111010100011000110000101100001001011100001101110010000010110100101101011111000100001110011111001111101001010010000000101101010001100011111000011110001101010111001111000111101011010011010011100100111101111010101101110001001010110110101110100000110010100011100100010000001000100001011101010111010011010110010010100010110111000100111111111101110001010110101100010011000011110000011001001000111100100011011001011110001010011111100111110111001011001111000111101001011001011011011110111010001101011101010111010010110101111100100101000101101001010100010100111111001010000100001011111010110001001100001111000001100100100011110010001101100101111001000100110000110111101011010010101010011010000010101110100101101011111000101001010010111110001011110011100000101100111100011110111000011101100000101101100010001110011000010000110101000110000110111001000100011011111111101000111101110101000110100101101011111011111000111000100101000110110111100011010111000111111101010001100011011100110011111100011010010110101111101110010111011010101111101111000011001111000111101010001100011011111000001001010000011100110100100101100000011010110011010111100111111101110010110011110001111010110010111111111100001010100000000010010101110100110001101111111100000101001010010111010101110101001111101110101000110111010101011011010100011000111000110100110101101001100001000011010100100111000000001011000100001110011111001111100010111110100101101011111011110111000010100101011010011010110010001101010000111110000010101001010111010011110011110010111111111011101000110100010110101001111101010001100001001111111011101010000010101011001011100011111001011110001011100000001101010110100101101011111010111010000101110011111100010100100011101100101011101001011010111110010001101101001111001111001011111111101111001011011100100011010110101001010001111000101111001110010011110111110000101110011111100010011111000111000000011010100010110100101101011111010111010011111000111001101001000111011000101101001001011010011111100011000110001111100001000110100110001110100001111111000100101000001110010100100110000100000101101100110100111100000010111010101110100011011111111110100000111100101100100011010001001010111001000110101100000000101010010001101000100101011101001011010111110111110000100011010110000000010101001000110100010110100101100101101100101000111111111010010001110110001011001111000111100010100101001011111000101111001110000010110011110001111011100001110110000010110010101110000101100111111100100001010010101101011010011000011000010110000001111111010100011000110001010011110000000101011100111111111101001011001011011001010001111111110100100011101101101010001100011111000011110001101010111010010110101111101010001100011001000110101000011111000001010101100111111111100100011011100101111110000001101001111110100001001000110100010110100011111110111111000110101000110001110000101011100010001110011000010000110111010100011001100000001011100010111110100101101011111011110000100001011101010111010001101111111111010100011000110111100001000000101101001011010111110010100111100111110101000111001000000101100011000111110000100011010011000111010000111111100010010100000111001010010001101000001011101011100001110100101101011111001000110110011111111101110001111111010100111110000101100111100011100111110010100001101110000111111110001101110010111111000010100100000001010000100000101101101001011010111110010100000111111000110001110011010100000101101101010001100011001010011111011110110000100001001000111011000101100111100011110101000110100001011001011101110100100001000001010111011111000001001010000011100110100100011010001011010100011000110001010010100101111100101111000111000010010100011110101100100111001100110111000111000010110010101110100101101011111001011110001110000100101000111101111010110001111000010000000100010000010101110111101010110001100011111000111010101011011010011111001010001101111111101000101110010000110100101101011111010011011110110000100001000011011100001011011011110101101101100111100011100111110010100111111110010010101110001100011111000010001101001100011101000011111110011010011110000001011101010111001111111111010100011000110111110000010010100000111001101001001011000000110101100110101111001111111011100101100111100011110101100101111111111000010101000000000100101011101110101000100011011111111000110011010011110000001011101010111010100111110100101010001010010000010110110101001111101010001100011001100001011001111101011010010110011011110010011000011000100000010001001000111011011001111000111101010001100011001011101101000010001001000010100001001101011110011111000110011110001111010100011010000101101111010110001111110001110000111011010110100010011000010100011010101110001011110011100111100100000010111010001101000101101010001100011001010011111011111101011001101000011001111000111101010001101000010110010111011101001000010000010101110100011011111111110101100100111001101000101100111100011110111101010011011100101111111101010001111111110011010010001110110110100011011111111110101000110001101010101101011111010110011010111100111111101110010110011110001111010110010111111111100001010100000000010110100110001101111111100000101001010010111010101110010010101101110101000010001101000101101110000101101100100011010100000110101001000111011011010100011100110101100010100101001011111000100001011000000111111001100001101011101110110100110100100011101100010110001000111001100001000011001100111101011011101010001100101001001010010111110101001111100010100101001011111010110010111111111100001010100000000010110111100011010100100100001101010001100001011011010011111100011010000000100010100110000100000101101100100011011100101111111101010001111111110011010000101111101001011010111110011111111100010100101100100010111001000010111010101110010100111100111110010111100100101101010110101001111101010001100001001111111011111000001001010000011100110100100101100000011011100100111001111111010000111110010110011110001111011110101001101110010111111110101000111111111001101001000111011001010111010010110101111101001110101100101111110001001001011110011111000111111100111100011110000100111100100111100111100011110001010010100101111101111010110001111111101010001111111110011010010001110110001011000100011100110000100001101110101000110100000001000101001100001000001011011010010101000101000111010001101010000101110101011101001011010111110001000111001100001000011000111001101100000011010001001001011000000011011010011101110101011101101011111010001101111111111010100011000110100011100101001010001110001111110010000110101110100001011100100111001111111000100001100111100011110001101000010110101011111111100001010100101011100100011011000101111001110010011110100111100001111111000110101011010010110101111101011010100101000111100010111100111001001111000101111001111100010100101101100111111111100010111100111110001010010000000100101011101001001011000100011100110000100001101110101000110001010011010010000101000111001111001101001111111101011011010100111110101000110001101011001011111111110000101010000000001011001111000111101010001100011011110101100011111111010100011111111100110100100011101101101000110111111111101011010011010011100100111100011000110010000101101001010100010100011101000110101000010111010101110100101101011111010100011000110111110001110010000100010100101011001111000111100010111100111001001111010110010111111000100100101111001111100011111110001000111001100001000011011101010001101001110100011111100100001000011010010110101111100010111100100011100011010011100101000000110101011010111010000101110010011100111111100010000110011110001111010100011000110101100101111111111000010101000000000101101111000110101110001111111010100011010000101100101110111010010000100001110100110111011111011010111100011110101001011101100110110010111110101111011001100111101111010101100011000111110001110101010110110100101010001010001110100011010101101001110101100110101111001111111011111001111000111101011001011111111110000101010000000001001010111010100111110111010100011011100101111110000101000111001000010111110011110001111010100011000110100011011110000100000111101101010001101000101100110100111100000010111110000010010001000111010110010100000111110010011101100010010101110101001111101011010100101010110011001111001011101010010111001000001010000111101111010011111101001101011001101010010000100000100011010001000100101011100101110101100001111111110001000011001011101111110100110111101011111110011101011110101100111111101110101011100101110101001011101101001101000111001011011001011110001110100110010111010111111110011011000000001001010111010110010010000010100001100011110000101101111010110001111011011000000000100101011100101111000010010000100100101100101110101111101001101111010111111100111010111101011001111111011101010111011110100110111110001011100011111010011100111110111110111101001111110100110101100110101001000010000010001101000100010010101110010111011101001000010000010010011110001101111010111111010011011110100111010011100111110111010001100010011101100101011101001011010111110111101001111001011001000001000011001011101111110100110010111011100010000100000010010101110100110000100001100111100011110001010010100101111101111010111100110101000110100000100001011101010111010010110101111101010001100001001111111000101111001110011110010000010001001111111100101101001111110001101001100001011011001010110001011010100111110111010100011001000110001110011110101010010101001011010100010110011110001111000101001010010111110111101011110011010100011010000010000101110101011101011010011011111000100011100110000100001100011100110110000001101010001100011011100110011111100011010010110101111101110001001011010011000100001110000000110101011001111000111101010001100011000101001010010111110001011110011100011001111000111100101111000000101100000001101010010110110111101001100100101100000011010110010100110111111100001010010110101110101011100101110101011011001100100100101100110010010101010101011101101101010111011011010101110110110101010101011101100011011110100111011110000100001001111110010111010011010110010001101011111010110101001010001111010100011000110001010011110000000101011101001001011000110001111100001000110100110001110100001111111010111010011111000111001101000010111010101110101001111100000010101010011110101100000100001000111100100011011010100011000110101100101011110110101101100111100011110111101011110011010100011010000010000101110101011101001001011000100111011101101101001100011101000011111110111000010110110101110001110010001001001000011010010010110101000110001100010100111100000011011100110010110110111010100011011100101110110101100000001100100000011010101000001011011010010110101111100101001111101110101000001111110000010110110101110111011000001010111010010110110111101010011000101010010010101111001010010001110110110011111111110010111100011100100110111011110000010101110101001111101110101000110111001100110000100000001011111010110010111110101111111010110111001011110000101111101111101010101100101111101011111010110010011110101100101100100111101001111111010110101011111010101110100101010111010010110101111101011010011011111000100011100110000100001100011100110110000001101010001100011000001101010010011111000110011110110000001111100100100100010001110101101001011010111110111001011101101010111110111100001100111100011110001010010100101111101011001001110011001101110001110000101100101011101011010011000011000010110000001111111010100011000110001010011110000001100010001110011000010000110100010011111001000110101001111100111010100000111111001101001000111011001010111010010110101111101111000101000111011011010100011000110111110001110000111101100010011000001010111010111000111001000100100100000101011100111111111101111100000100100100010011010011010010001110110110011110001111010010110010110110011101100001100111111111101110000111111110001100111100011110001010010100101111101011001011111111110000101010000000001001010111001111111111010100011000111110001100010001110011000010000110111010100011010011101011000100111100110010110111001010110110011101101100010100101001011111010110011010111100111111101111101000111111101111110001101001011001011011011100110011111000010000110101101001110011010000101100000011111010101110101000110001101111100011100010010100011001000110100010110111000000111000111010100011111001011001111000111100010100101001011111010110011010111100111111101111101001111110001100011000111110001110101010110110100111110010100011011111111010001011100100001011101010111010010110101111100100101011001000010110001100011111000111010101011011011100010011011100011010100011000010011111110101111111001010010110110010011100011100000010111010010011010000100000101101101010011111000010000000111001101011000101111000100101010011110101100000001100101000001111100100111011000101101110101010110110111010110011000010000011110100101011101010011111010001101001000010000110001011110011100100111101011000100111100110010110111001010000000100101011101001011010111110001010010100101111101011001011111111110000101010000000001011000100011100110000100001101001010100010100111110111010100111110100100110100001101001011010111110000101100111101010000001101011111010100011000110001010010100101111100010111100111000110011110001111001011110000001011000000011010100101101101111010011001001011000000110101100101001101111111000010100101101011101010111001011101010110110011001001001011001100100101010101010111011011010101110110110101011101101101010101010111011000110111101001110111100001000010011111100100101011100100011011010100011000110100011011110000100000111101101010001101000101101110001001011001100001111101010111010100111110101101010010101011001100111101011001001100010111100111000110011001111010110000101100111111100100000010111010001101000101101011001011011010000110101001011011010110010100110111111100001010010110101110101011100101110101010101110110110001011101101101010101010111011011010101110110110101011101101101010101010111011000110111101001110111100001000010011111100100101011100100011011010100011000110000111110001110011010010001110110110011110001111010011100010111100010010101001111010110000000110111010111110001001000010111010001101000101100111100011110111010111111010011100111110111001001010111010010110101111101010001100011001010011110011111111001001110010010010001101000101100111100011110001011110001001010100111101011000000011010001011111011111110001101011100100101011101001011010111110100011111100111110110010000100011010001101000101101010001100011000101001111000000110100011011111111110001010010100101111100101111000111001001101110111100000101110000111010110010100110100111111010010110110101100101001101111111000010100101101011101010111001011101010110110011001010010101110110110101010101011101101101010111011011010101110110110101010101011101100011011110100111011110000100001001111110010110101001111101110101000110100111001010000011111111000100101100000110101011010001111110001101011101010111010100011000110010001101110010111111000000110011110001111010110100110100111001001111000100011100110000100001101110101000110111100001000010111110100011011111111110101000110001100010111100010100010100011111111101011001111000111101010001100011010100001001111001001100011111001011001111000111101010001100011000101001010010111110010111100011100100110111011110000010101110100101101011111010001101111111111010100011000110100010000011000011111100110000110010100111100111110101000111001000000101100111100011110101000110001100010100111100000001011100001110111101001100100100011101000000001101101011001010011011111110000101001011010111010101110010111010101010111011011110110011001001010101010101110110110101011101101101010111011011010101010101110110001101111010011101111000010000100111111001001010111010001101111111111010100011000110000111110001110011010010001110110110100101101011111010001111110011111011001000010001101000110100010110011110001111010011100010000111001011101101011111011101011111000100100001011101000110100010110101101001100001101100110000000101110001011101011100001110101100101000011011010110010100110111111100001010010110101110101011100101110101010101110110111010111011011010101010101110110110101011101101101010111011011010101010101110110001101111010011101111000010000100111111001001010111010010110101111101010001100011001000110101000011111000001010101100111100011110101000110001101000010010010101011011100000001101010010001110110000101111100010111100111000110011110001111011110100110010010001110100000000110110101100101001101111111000010100101101011101010111001011101010101011101101111011001100100101010101010111011011010101110110110101011101101101010101010111011000110111101001110111100001000010011111100100101011101111000110101001001000011001001010110001000111001100001000011011101010001101111000010000101111101000110111111111100010100101001011111000100001110010111011010111110111010111110001001000010111010001101000100101011101000110111111111101001110100011111100011010111110100011011111111110010001101011101001000100000110101011000101010111100101110000110101000100101011101010001100011001000110111001011111100000011001111000111101011010011010011100100111100010001110011000010000110111010100011011110000100001011111010100111110010100100101011011010100011000110101011110001001010010001110110110100101101011111011101010111100111111101111100111100011110100101101100000101110011111100100110000110011011110011100011101010001111111001111000111100100011010111010010001000001101010110010110011111110001101000101101110000000110110100101101011111010110101111110000000110010101110010100111110000101001001111110100011010001011010001101111111111011100101111000010000000100010000110101001111101110101000110101000010011110010011000111110010110011111111110100011011111111110111010111110000100100011000000100010010111000011100101001111101111011000010010111000101110101011101001100001011011001010110001001010111010100011100110101101010001100000100001100101100111111100011010001011011100000001101101001011010111110101101011111100000001101101001111110001100111100011110100010011101111011111011100001111111110011000011011100100111001111111001111001101000011111010101110010001101011111110000101010111110100011111110000101100100011011010100011000010011111110001110011110101010010100010010101110011110001111010001001110111101111100110100110101111001111110011000011010011110101010010000010010100101100101011101001011010111110001000111001100001000011011111000111000100101000110110111001011101100110000111001101000010111110101101010010100011110101000110001100101111000111001001101110111100001101001001011001010011110001010001001000000100101011100110011110101101000000000100010110101000111001011011001110110000110010110000100111111111010011011101111101101011110001111010110101011100000111101011011011001110101100101111101011110110011001111010110010100110100001011001011110001110010011011101111000011000100011100110000100001101110010111011000100100001010101100111100011110100101101101111010110101101000101000001000010001111010010110101111101001110111101011001000010010010001001001110011001100001101111010011100001010010011111110101110000000110101001010111011101010111101000111101111000110010010100001011111011110001101011100011111110011101100001100101111111111101000110111001010001010010011000011010010110101111100111011000011001011111111111000111001000010100101011111000001000100101011101110101111100101011001111010001100011111110111010111111100101101110010011000001011001111000111101000000010011111101100100011010001011011100010010101101101110101000110101010011111001000100011101011001000110110001011110011101010111111111011101000110100110100100011101101101010011111010100011000110100111101010111101100000011010111000010100100111111101011100000001101010001011101001101110111110111111010110111110101001011101011111101011110110010111110101111011001100111100101111000111001001101111000010011111100101101000111111101111110001101010001100011010110010101111011010110110011110001111011110101111001101010001101000001000010111110001000111001100001000011000001100101110001011101011011010011000010000110101000110001100101001111101001011000010010000000100010000001011001111000111101010001101000010110010111100011100100110111011110000010101110111010101011011001010010010101100100011010001011001110110000010111101001110011000010001111001111000111101010001100011001111111110111010001101001111110101101101010111100010010100100011101101110100110111011111011101100111011110101010110011101011001011111010111101100110011110111101011010101110011111100100110000110100110111101100010010110101010011000100000010110001000111001100001000011011101010001101001100011100011011111111101110001011111001000110110101000110100001011001011110001110010011011101111000011010100111110111010101111010001111000100001011001111000001011101001101110111110111011001011111010110110110011101011001011111010111101100110011110101100101001100011010110010100010011110010011000111110010110001000111001100001000011011100101110110001001000010101011001111000111101001110010111111111110100011011100101000101001001100001101001011010111110010111111111110001110010000101001010111110000010001001010111010010110101111100010111100111001001111001111010001100011111110101000010011110010011000111110010110100100101100100011011010100011000110010111000111110010111100010111000000011010101100111100011110101000110001101011001011111111110000101010000000001011010100011000110101101100101101010001011001111000111101010001100011001011110001110010011011101111000011000100011100110000100001101011100011100010010110101111110100110101100100011010111110100110000101101100101011000101101010001100011001101111001110001110101000111111100111100011110100011000111000100110000000110101000010011110010011000111110010110001000111001100001000011011101010001100000101110011111100100110000110011111111110011101100001101000000000100010110101000111001011011010100011100110101100111100011110101000110001101110001001100000001101010000100111100100110001111100101110100110111011111011111101010101011001000010110101000110001100111010100010001100100011101101100111100011110101000110001101011101110110011111111010101110101000111001101011001000110110011111111101110001111111010100111110001110011011000000110101000110001100101111000111001001101110111100001101001100011100011011111111101111100000101110011111100100110000110100110111101100010010110101010011000100000010110101001111101110101011110100011110001000010110011110000010010101110101000110001100110111100111000111010100011111110011110001111010001100011100010011000000011010100001001111001001100011111001011011100011110000101010110000010111001111110010011000011010100011100110101100111100011110101000110001101110001001100000000010010101110100101101011111010100011100110101101010001100011010001100011100010011000000011010100001001111001001100011111001011011100011110000101010110001110011011000000110100111010110000111010011100100011001000110110101000110001101110001001011010011000100001110000000110101011001111000111101010001100011001011110001110010011011101111000001010111010100011100110101100100001011010100111110001010010101100101011101010001100001011011000100011100110000100001101110010111011000101111001000010101101001011010111110100110111101100001000010000110101101010010100011110101000110001101110001001100000001101010000100111100100110001111100101101111100000100101000001110011010010001101000101101010001100011011100010010110100110001000011100000001101010110100101101011111001000110101000011111000001010100010110011110001111010100011000110010111100011100100110111011110000111010011011101111101111110101101010111011010111101011010101110000011110101101101100111010110010111110101111011001100111101011001010011000110111110001000001001000100100011111110000101100100011010001110000111100000011011100100011001111000111101010001101000010110010111100011100100110111011110000110001000111001100001000011001100111101011011101010001100010000111001101010011111101001001011001010111011101011111001010110000101100010010110100010000100000100111001100110000100000101101101111010110000111111101000010101001001001011011101001101110111110111011001010101110111111101011010101110110101111010011010110010111110101111011001100111101111010101100011000111110001110101010110110011111111101110001111111010010110101111101011101001111100011100110101101010001110011010110101000110001101110101111100010010000101110100011010001000101100011000111110000100011011101010001000110111111110001101011101001111100011100110100001011111010100111110111010100011011101011111000100100001010110100011011111111110001010010100101111101011001001110011001101110001110000101100101011100010001110011000010000110111010100011010000011111100110011010000101111101001011010111110100110000101101100101011000101101111100011100010010100011011011110001010001110110110101000110001100101111101100101000110110001010101111100000010100101011100010011101011110111100110011000010000000101110101011100100011011000101001010010111110111101011110011010100011010000010000101111110100110111011111011101100101111101011111110101001011110011011001011111010110111110101101101100111010110010111110101111011001100111101111010101100011000111110001110101010110110111000100111110111000110101000110001101000110111100001000001111011010100011010001011001010011111011110110000100001001000111011000101101000110111111111101010001100011000000101010100111101011000001000010001111100000001101010110100101101011111011100010010100011010100000110100101101110010001100111100011110100101101101111010100110001010100100101011110010100100011101101101000110111111111101010001100011000110100100010001100011111110000101111111001110011001101001000111011011001111000111100101100111111100011010001011010110101111110000000110010101110101101010010100011110101000110001101011100000100100100010011011010100111110100011111100111110110010000100011110100011011111111110111000010110110011110110101101100010000101100111111011100000010010110001011010010110101111101000111001111001010010000010010100100000001011010001101111111111000010111111100111001100110100100011101101100000101110011111100100110000110101001111101010001101110010000110101101001101001110010011110100111111000110100110001110001101111111110111000101111100110011110110111001000110110011111110011111110111101011000111100001000000010001000000101101010011111001011001111111000110100010110111000000011011101001101110111110111111010101010110010000101101110000101101100111010100010001100100011101101101010001110011010110111010101011011010100011000110001101001000100011000111111101001011010111110111000011111111000110101000110111111110111111100100010001111011110101100001111111010000101010010010010110110000101111111001110011001101001000111011011001111000111101011010111111000000011001010111010110100111001101011010011111100011011100110011000010000000101111101010001100001001111111011110110101101111110111011010001000101111011011010110101001000010000110111010100011011111000101111111100000100010000101110101011101010001100001001111111010110110011000100000010110100110111010111000111110000101010000101110101011101010001100001001111111010110100001001000100011101011001111000111100100011010001110000111100000011011100100011001000110110111110001000110111111111110000100011010001011010100011000110000101100001001000000101100111100011110001001111110010100000101001011011010110101001000010000110111010100011010001011111000100110101000001011011001000110111001111110001001001000010111010101110100100101101010000100111100100110001111100100101011101001001011010110111111010010100001111100100101011101001001011011100001111010001100011111001001010111010010010110111000000111000111010100011111001011001111000111100010011111100101000001010010110010101110101000110000100111111100101000111101101000111111101000110111111111101000100111011110111110101101010010000100001101110101000110010001101110011001100001110011111001000010011110101100000101101100000110100001001111111000100001011111101001101110111110111011001000101111001101100101111010011011110101010110011001111010110010100110100001011011110101001100010101001001010111100101001000111011011000100011100110000100001101110101000110111001100110000100000001011111010110010111110101111111010110111001011110000101111101111101010101100101111101011111011110101100101100110000101110110100101110110101111010110101011101011111101011011110100110111011111011101100100010111100110110010111101001100101110110110010110011001111010110010010001110100001111111010100011000110010100100101011011100000001101010110011110001111010100011000110100000001000101001111001010000000101101001011010111110111010100001011100111111000000010101000100101011101110001001101110001100100011011010100011000110100011010011111001010101101000110111111100111111100010000111001101001000111011000101100111100011110101000110100001011001011101110100100001000001010111010010110101111101010001100011001011110000001011000000011010100101101101111010011001001011000000110101100101001101111111000010100101101011111001011101010110110011001001001011001100100101010101010111011011010101110110110101011101101101010101010111011000110111101001110111100001000010011111100101101000110111111111100010100101001011111010110010011100110011011100011100001011001010111011110101011000110001111100011101010101101101001010100010100111110111010100111110100100110100001101010001100011000101111001110001100111100011110101100101001111111000000110111101011111110001101011111111000101111101011001010011011111110000101001011010111010101110010111010101101100110010100101011101101101010111011011010101010101110110110101011101101101010111011011010101010101110110001101111010011101111000010000100111111001001010111001001000111100010011111011100011110011100100111100010001110011000010000110101000110000110110111110001110001001010001101100111100011110111000010110110111101011010010101010011010000010101110100011011111111110101000110001100000010101010011110101100000100001000111110000000110101011010010110101111101110001001010001101010000011010010110111001000110011110001111000101001010010111110111101011000111100001000000010001000011101001101011001001000000100111110101101001110011010000101100000011111110111000011111111000110101000110001111100011011100010010101101101110101000110011110001111011100001011011011110101101001010101001101000011010100011100101101101010001100011000101001010010111110101100101001111111000000110111101011111110001101011111111000101111101011001010011011111110000101001011010111010101110010111010101101100110010100101011101101101010111011011010101010101110110110101011101101101010111011011010101010101110110001101111010011101111000010000100111111001001010111010011000111010000111111101010001100011000101001010010111110010100100101011011100000001101010001011010011010110111000010110110101110001110010001001001000001010111011110101011000110001111100011101010101101101001010100010100111110111010100111110100100110100001101000110111111111101010001100011000101001111000000110011111101010101110001000111001101001010111010100011100110101100100001011010100111110001010010101100101011100010100101001011111000010110011111110010000010001011000100011100110000100001101110101000110100110111101110001011111010100111110101000110001100010100101001011111010110010100111111100000011011110101111111000110101111111100010111110101100101001101111111000010100101101011101010111001011101010110110011001010010101110110110101011101101101010101010111011011010101110110110101011101101101010101010111011000110111101001110111100001000010011111100100101011101000110111111111101010001100011000000101010100111101011000001000010001111100000001101010110100101101011111011100010010100011010100000110100101101110010001100111100011110001010010100101111101111010110001111000010000000100010000010101110111010111110010101100100100011110100110101101110000101101101011100011100100010010010000110101000110001111100011000100011100110000100001100110011110101101110101000110111110001110001001010001100100011010001001010111010011000111010000111111100010100101001011111001010010010101101110000000110101000100101011101010001100011000101111001110001100111100011110101100101001111111000000110111101011111110001101011111111000101111101011001010011011111110000101001011010111010101110010111010101101100110010100101011101101101010111011011010101010101110110110101011101101101010111011011010101010101110110001101111010011101111000010000100111111001001010111010100011000011011011110101011001111111110111000111111101001011010111110101110100111110001110011010110101000111001101011010110100111001101000010110000001111111000101111001110001100010001110011000010000110111110001110001001010001101101001100011101000011111110001010010100101111100101001001010110111000000011010100010010101110001000111001100001000011011101010001100101001111001010110100110101100100011010100001111100000101010010101110101001001000010000110001011110011100100111101010010011100000011010010010110010010101100010001110011000010000110100111100001111111000110101011010100111110101100101001111111000000110111101011111110001101011111111000101111101011001010011011111110000101001011010111010101110010111010101101100110010100101011101101101010111011011010101010101110110110101011101101101010111011011010101010101110110001101111010011101111000010000100111111001001010111010011000111010000111111101011010011010011100100111100010100101001011111011110101100011110000100000001000100001100010001110011000010000110111010100011001001110001110000001011101001001101000010000010110110100011011111110001101011100010111110100101101011111001010011110010101100100011011001110101000001111110011010010001110110111010011011101111101110110010001011110011011001011110100110101100110010100110110011001111001011110000000110001001001110101100000001100111100011110101101001110011010110101000110001101111010110000111111101000010101001001001011011001011110010001000001001000100100011101101100011100100101101011101110110000110100011011111111110111000010110110001000010110011110101011101001011010111110111010100010000010000010110000100011010001011010100011100110101101001100001000011000010111111100111001100110100100011101101100010001101111111001000010111110111010100011010001101111111111010100011000110100010100000111111110101101100111100011110010111010110111101110101011101001011010111110101000110001101000100111011110111110011110001111011100010010110010101110111101010110101110100111110001110011010110101000111001101011010100011000110111101011101111000001011011001011110001110011111101000101001010111100111110000010110111010100011010111100101001000001011011010010110101111100010010110001010100001110001001101001001110011001100001000001011011011111000100110111110100101101011111000101010111100101110100000101111100100011011000101001010010111110111101011000111100001000000010001000001010111010010110101111101011010100101000110111111100101011010001001001011000010001101000101100101001111100010001100011111000011011100100011010100111110100101100101101100010000111001101011001111111111010111000011001111110000100011010011010010001110110010101110100110000100001101010001100011000010111111100111001100110100100011101101101001011010111110100110000100001101010001100011010111010000101110010100010100100000100011000011000100011100110000100001101110101000110010100000111111011000100110111000101111101110101010110110101000110001100101111000010100010011111010010101100111100011110111101011011011000100101101000100001000001001110011001100001101111010110000111111101000010101001001001011011001011110010001000001001000100100011101101110100110111101010110101110100111110001110011010010101110100110000001001110101011101010001110011010110001101001000100011000111111101110011111001000010101111001111100011001000110110101000110001101111010110101101000101000001000010001111001011101101010010110100010111100100110001000011010010110101111100101110110100100101000011111100110101111001111100011011101010001101000100100101100000001101100100011011000101001010010111110111101011000111100001000000010001000001011100001110100110000001001110101011100100011011010110010001101110010100000011010101101001011010111110010111110101111011100011111011011001011101101010010110100010111100100110001000000100101011100100011011010100011000110010111110110011010001100011100010011010010011100110011000011010010110101111100101111110011010110001001001110011001100001100101111000111001010000001101110010000010010101110010001101101010001100011010110011001011001000010001111110010000110100101101011111010100011000110111101001100100011000011010110010011111101000100101011100100011011011110101001101010000100001000000011100110101111001001100000101011100101111101011111111100110000110100101101011111010110010000000101010001100010100100111001110010111111001101001000001110010011101010000110101100101011100100011011010110011101001101011110011111100110000110101100101001100001111000001111000100101100101011100100011011010100011000110111101011011011000010010111000011011100100000101100111100011110111101011000011111110100001010100100100101100100101001011001010111001000110110010111010110101101110000110100100101010010011100100101101001011010111110010111111001101011000100100111001100110000110111101011001111001000010101111001111100001010111001000110110101000110001100101111000111001010000001101110010000010110100101101011111010110010011111101000100101011101011010011010011100100111100101000001111110101001010001101101010011111011110101101101111111001110011001101001000111011001010111001011110000111111001010000010100101100101011101001011010111110010111010110111101100000011111011011100000001101010010101110100101101011111001000110110001011110011100100111100111101000110001111111000101010111100101110100000001011010010010110111001011111100001000110100010110101001001110000000010110111000100101011011010111000101100000010000011101010011001111111111010111000111000100101101011111010001101111111111010100011000110000101111111001110011001101001000111011011001111000111101011010111111000000011011010010110101111101010001100011001010011111011110001011111000001000101100111100011110101000110001101111110011110010001110100110111101010110101101011111110010000101111100011100110110000001101010001100011000010111111100111001100110100100011101101100010111100010010100001011111010100111110101000110001101110000000110101010011000011010010110101111100101000011010110001001001110011001100001101011011001011010100010110011110001111010110101111110001001011011101001101111010101010110010000101100110011110101101110000101101101011100000100100100010011011010100111110111110000110101110001111111011100001011011000100001011001111110100101100101101101010001100011010000000001000101101000110001110000100011001000110000010101110111010111110010101101010011111010111000101100000010000011101010011010010010110100011111100100001000001011011010010010110111000100101011011011101010001101010001100011001010001111011010001111100101100111100011110101101011111100010010110001101110111101110101011101001011010111110100011111100111110110010000100011110101101011111100000001101101011010100101000111101010001100011011100000010010110001011001111000111101111000010000100011111100100000110000001000100101011100011100101010001010001000110000001000101101001011010111110001101110110011111111010101110011001111011011101011010100101000110011000100001011111010001111111011111100011010100011000111000111010011011101111101110110010001011110011011001011110100110101100110010101111101100110011110111101010110100101010001010001110100011010101101010001100011010001101111000010000011110110101000110100010110010100000111110010011101100010110101001111101110101000110101000110001101000110100111110010101011010110010111111111100001010100000000010110011110001111000101001010010111110111101011000111100001000000010001000001010111010100111010111101101101010010101011001100111101111010111011101101110100110111101011000011100111111100000000010110111101011011110100110111101001100111111111110101000001011010010110101111101111010111011101101110100110101100110000010111000010110011011010110011011001111101110001111101010111011101010111101000111100111100011110101100111001111111110100011100111100001010010100111011001010111001011110010001011000111010011001011101010010111001101101100101111101111010011001011101011111110000000110000010101110011110001111001011110000111111100101000111101111010111100110111100000000101100101011100101111111111101111000110010111010011001011101111110001110100110010111100011101001101011001010101101000000011111010101110100101101011111001011101010011111001000001001111000010110111101011111101001100101111000000000100000101100000101011101110101011110100011110011110001111010110010011100000110001111100101010010101110111101011101110110111010011001011101111110001110100110101100110111101001100101110111100100100011111010111110011111011001010111001111000111100101110101111111000000011010001101000001000010111010101110010111111111110111100011111010011011110101101101111011011001111111011100101101011001001110100110010111111100111111111101110101011100111100011110101100100011010111011110110000001111101010111011110101110111011011101001100101110101001011100100000101000011110010111011100110100101000011001111000111100101110111010010000100000100100111100000101010011110110101100101011100101111001000101100011101001101011001101111010011001011101011111010011010110011100111111111010001111111011101010011001111000111101011001110000101101110111101011110011011000000011001010111011110101100011101100110111010001010111011110101110111011011101001101111010110110111101101100111111101111101011001101111010011001011101011010010000100000001010101011001111000111100101110111000001010101000110100000100001011111101001101001011010111110010111010110000111111111000100001100101110111111010011011110101111111001110101111010110011111110111010101110011110001111011110101111001101010001101000001000010111111010011011101111101110110010001011110011011001011110100110101100110010010110110011001111010110010100110001101001111010101111011000000110111000000011010100100011101100001011111010110010111111111100001010100000000010010101110100101101011111010100011000010011111110100100100010011111100101001001101000000101101001011010111110001011110011100111100100000100010011111111001001010111000100011100110000100001100011100110110000001101000111111001000010000110010100011110110100011111110101001111100100011011100111111000100100100001101010001100001001111111001101111001110001110101000111110101011101010011111010001101001000010000110101100010011110011001011011100101000000010010101110010001101011000000001010101101001011010111110000101100111101010000001101011111010100011010000101101110000111011000001011001010111010010110101111101010011111010001101111111000110101111101001011010111110001000010101100100011011001110101000001111110011010010001110110110101000110001101111010100110001010100100101011110010100100011101100101011101001001011000100111011101101101001001011011100010010101101101110101000110100110001110100001111111011100001011011010111000111001000100100100000101011101001011010111110011111111101110001111111010011000010000110010010100010110111001011101101110010001111101100010010101110010001101100010111100111001001111011100010010110011000011111110100100101101010001100001011011011100010010101101100101110001111100101111000100001101110101000001010101101110011001100001110011111001000010011010000101111101010011111010011110011110010111111000010100100000100001000111101010001100011001111110101010111000100011100110100010110111010100010001101111111100011000101010100110100001011111101001101011001100001101000001011011011110101011010111010011111000111001101011010100011100110101100110011110101101110000111111110001101010001110010110110011101100000101111010011100110000100011110011110001111010100011000110001011110011100011010010101000101001111101110101001111101001001101000010111110111010101011011011100000011010100111110101000110100001011001111110101010111000100011100110100101011100010001110011000010000110111010100011001000110101100000000101010000101111100100011011011101011111000100100001011101000110100010001011010010110101111101000101111101111111000110101110010010101110101000110001100111101000110001111111000111001100001000111100111111111101110000111111110001100010001110011000010000110111010100011001000110101100000000101010000101111101110101010110110101000110001101011001011111111110000101010000000001011001000110110100111000101001100011000110111000100101100110000111110101011101010011111011101010001101001110010100000111111110001001011000001101010110100011111100011010111010101110101000110001100100011010100001111100000101010110011110001111010110100110100111001001111010011000001110110000110001000111001100001000011011101010001101111000010000101111101000110111111110001011000000111111101000110111111111101000111111001111101100100001000110100011010001011010100001001111001001100011111001001010111010000010011101011111110011111101011001010111010010110101111101001010100010100100111111100110101111000010010101110100011011111111110101000110001100011010010001000110001111111000010111111100111001100110100100011101101100111100011110010110011111110001101000101101011010111111000000011001010111010010110101111101000110111111111101010001100011010001000001100001111110011000011001010011110011111010100011100100000010110100101101011111001111110101010111000100011100110100010110011110001111010100011000110111101010011000101010010010101111001010010001110110111010011011101111101111110101010101100100001011011100001011011010110101000010001111010100011100110101101010001100011011110101001100010101001001010111100101001000111011011011101010001100010011111011100101110110101111111001110011010000101110101011101010001110011010110101111111001111101000110100010110100110000100001101110010111111000010001101000101101010010011100000011001001010110001000111001100001000011010111011111010100011000110111000011100101010110100010011101111011111010100111110101000110001101000101111100010011010000001010101100110111100111000111010100011111111010011011110101011010110101111111001000010111110001110011011000000110010010101101001110010100000111110000110011001001001100001101110101100000000010001001000110100010110101001111101010001100011011100101111111000110101011111010110110100101101011111010100011000110101101011111111100001011111101001101110111110111111010011010110011000101100110010110101111001101100101111101011011111010110110110011101011001011111010111101100110011110111101010110001100011111000111010101011011001111111110111000111111101001011010111110101110100111110001110011010110101000111001101011000101001010010111110111101011000111100001000000010001000011000100011100110000100001101110101000110100000111111001100110100001011111001000110110101000110001101011001010111101101011011001111000111101011001110011111111101000111001111000010100101001110110010101110010001101101010001100011011110101100011111100011100001110110101101000100110000101000111100111100011110010111110110010010001010011110010011111100001000010101010001001010111001010011111011110110000100101110001011111010100011000110111001010010100100010111001000001100010110011110001111000101001010010111110101100101011110110101101100111100011110101100111001111111110100011100111100001010010100111011011000100011100110000100001101011010100101000110100011011010101011010111110010110000100111111001011010011000111010000111111101010001100011001010011111011111101011001101000011001111000111101010001101000010110010111011101001000010000110111111001010000100001101001011010111110010100100101011011001111011000000111111100111111111101110011001111100001000011010100111110111010100011011111100101000010000101111101001011010111110010100100101001011111001111011000000111111101010011111010100011000110001010010100101111101111010110000111001111111000000000101101111010110111101001101111010011001111111111101010000010110100101101011111001011101011000011111111100010000110010111011111101001101111010111111100111010111101011001111111011101010111010110010111111111100001010100000000010110100100101101001100011011111111000001010010100101110101011100111111111101010001100011010110011010111100111111101111100111100011110101100101111111111000010101000000000101100111100011110001010010100101111101111010110001111000010000000100010000010101110010010001111010100011000110001010011110000001100010001110011000010000110001110011011000000110111010100000001101100100011011100101111111101010001111111110011010000101111101001011010111110011111111100010100101100100010111001000010111010101110101000110001100010111100111000110011110001111010110010110110100001101010010110110111101001100100101100000011010110010100110111111100001010010110101110101011100101110101010101110110110010110011001001010101010101110110110101011101101101010111011011010101010101110110001101111010011101111000010000100111111001001010111010100111110111010100011010011011110111000101111101010011111010100011000110010100000111111110001001011000001101010110100011111100011010111110011110001111000101001010010111110111101011000111100001000000010001000001010111010010110101111100010111100111010101011100010001110011010110101001111101001100001000011010100011000110111110001000101111001000010011010010001110110001001010111011111000010111001111110001001111100011100000001101010001011010010110101111101111100000101010111110100111001101001000111011000100101011100011000111110000100011011101010001000110111111110001101110001001101110000101011101000110111111111101010001100011001000110101100000000101010111000000011010101101001011010111110000101100111101010000001101011101001010111100111110001100111100011110001010010100101111101000111111000110101111110100110101100110111110010101100100100011110001010010100101111101011001011011010000110101001011011011110100110010010110000001101011001010011011111110000101001011010111010101110010111010101010111011011001011001100100101010101010111011011010101110110110101011101101101010101010111011000110111101001110111100001000010011111100101100010001110011000010000110011001111010110111010100011011111100101000010000101111101001011010111110010100100101001011111001111011000000111111101001001011010011000110111111110000010100101001011101010111010100011000011011011110101011001111111110111000111111101001011010111110101110100111110001110011010110101000111001101011000101001010010111110111101011000111100001000000010001000011000100011100110000100001101110101000110100000111111001100110100001011111001000110110101000110001101011001010111101101011011001111000111101111010111100110101000110100000100001011101010111010011000110111111110000010100101001011101010111010010110101111101010001100011001010011111011110110000100001001000111011000101101001011010111110101110100111110001110011010010001110110001011000110001111100001000110111010100010001101111111100011011100010011011100011010001101111111111010100011000110000001010101001111010110000010000100011111000000011010101100111100011110001010010100101111101111010110001111000010000000100010000010101110100011011111111110010010100010110111110001000101111001000010011010010001110110110100101101011111011100010010110100110001000011100000001101010010101110101000110001100100011010110000000010101011100000001101010110100101101011111000010110011110101000000110101110100101011110011111000110011110001111001001010001011010001111110001101011100101100010001110011000010000110111010100011010010101000101001000001001110011001111010110000000110101001111101010001100011000101001111000000110001001111101000001111110011001101000010111110010001101100010100101001011111010110010101111011010110110011110001111011110101111001101010001101000001000010111111010011011101111101111110100110111101010111101001101011001011111010110111110101101101100111010110010111110101111011001100111101111010101100011000111110001110101010110110011111111101110001111111010010110101111101011101001111100011100110101101010001100011000101001010010111110101100101111111111000010101000000000101100111100011110001010010100101111101011001001110011001101110001110000101100101011101001011010111110010010101100100001011000110001111100011101010101101101110001001101110001101010001100001001111111010111111100101001011011001000110110100110000100001101000001111001011000101100111100011110111000011101100000101101101011010011010011100100111101010001100001011011000100011100110000100001101110001001111101110000101011101001001011011111000010111001111110001001111100010111110111010101011011010100011000110100011010010001110100011110001000011100110100100011101101100111100011110101000110100001011001011101110100100001000001010111010100011100110101101010001100011000101001111000000110001000111001100001000011011101010001100010000111001111100111110001011111011101010101101101110000111111111010100010100110001000000101100111011011010001001110111101111100101001111101111011111110011100110100100101100000011001011110010001001100001101111010110100101010100110100000101011101001101011001100111101011010000000001000101101010001110010110110101010110101001110010001100100101000101101000111001010011111110111001100100100011110101100010011000011110000011001111000111101010001100011010011110000111111100011010101101000001111001011000010111010101110101101010010100011011111110010101100000010101001001110001001101001000110100010110101000110001101110101111100010010000101110100011010001000101100111111111100111101000110001111111010010101000101001111001111110100000110100101101110010000010110011101101101010001100011000101001111000000010101110100101101011111011110101011010001111110011111101000110001111111100001111111100011001111111110111000111111101001011010111110101110100111110001110011010110101000111001101011001000110110011001111101110011001001000011000100011100110000100001101001011001011011001111000111101010001100011011100001110110000010110110111010100011010000011110010110000101111101011101001111100011100110101000001011011001111111111001000110101110100111110001110011010100000101101101010011111010010110010110110011101100001100111100011110101000110001100010100101001011111010110010111111111100001010100000000010110011110001111000101001010010111110101100100111001100110111000111000010110010101110001100011111000111010101011011010010101000101000111010001101010000101110101011100111111111101001011001011011001111000111101010001100001001111111000101111001110011110010000010001001111111100101110100110111011111011010111100011110101001011101100110110010111110101101111101011011011001110101100101111101011110110011001111011110101011000110001111100011101010101101101011101001111100011100110101101010001110011010110101000110001101011001011111111110000101010000000001011001111000111101010001100011000100001011000000111111001100001101011001101011110011111110111001011000110001111100001000110110111001111110001001101000010111010101110001000111001100001000011011101010001100101001001010010111110100111011111000100100100111011010011110101100000001101110010111111000010100000011000101001101001000111011011010001101111111111010100011000010011111110001000011111101100001001110010000010110101101001101001000000011001000110110101000110001101011101000010111001001110011111110001000011001111000111101010001100011010111111100101001000000010110011110001111010100011000010011111110011110001110001101001110010001110100110111011111011010111100011110101101010111000001111010110110110011101011001011111010110111110101101101100111010110010111110101111011001100111101111010100110110111001100100100001100000100101000110001111111001111000111101010001100011010101011010111110101100101111111111000010101000000000100101011101000110100111110010101011011101010001000110111111110001100110100111100000010111010101110001000111001100001000011010111010000001010111011111000100011111100001000011010100111110100111100111100100001010010101101010001100011010101111111110000101010010101110011111111110101000110001100111100011100011010011100100011000100011100110000100001100100011011010010110010110110101101100101011011011101010001110010111111000000110101100010011110011001011010100101011101111010101101001111100101000110111111110100010111001000011010010110101111100001110000101000111101101000111111101010001100011010110010111111111100001010100000001101011010011011111000100011100110000100001101001111001111001000010100101011010100011000110101011111111100001010100101011101010011111001100111111000010001101001101000011001000110110101101111110100101001000110100010110101001111101010001100011001011101010011111001011110001000011001111000111100101111111111101111110101100110100001100111100011110010111011101001000010000001001010111011100111101000101011101000110111111111101010001100011011110101100011111110001101010010110110011110001111011110101111001111000010100001000110100111110000101011100010011111100000011010111010000101110011111100000010101101001011010111110111001011111100001010000010100000110101011001010000011111001001110110110101001111101000110100100001000011010100011000110101100010011110011001011011100101011001010111010110100110111110111010100001000110100010110100101010001010011111011110110000001011111011101010101101100010100101001011111001011101010011111001011110001000001010111010010110101111100011100110110000100011010001011010001001001011000000011011011101010111011010111001011010100111110001101000010110100111100111100100001010010101001011011100100001010111000100011100110000100001100010111100111001111001000000101111101010011111010011000010000110101000110001101111101001000100011101000100101011101001011010111110000101100111100011111111001010000100001101001100001000011010100011000110010100011110110100011111001001010111010010110101111101011101000010111001001110011111110001000011010011000010000110101000110001101011111110010100100000001011001111000111101010001100011010110010111111111100001010100000001101011010011011111010111010000000100101011100111111111101111100010001111110000100000010110101000110001101010111111111000010101001010111010010010110100011111100100001000001011011010010010110010010001111000101001010010111110101100101111111111000010101000000001010111000100111110011001111110000100011010011010000101111101001011010111110100101010001010001110100011010100001011101010111000111001101111101110101000000011011001101001111000000101111101001001011010110010111111111100001010100000001100100011011010100011010000101100101110111010010000100000101011101001011010111110100100101100111101000110001111111010110001001111001100101101110010100000001011001111110011110011111001111111010100011000010110110001000111001100001000011011101010001101000110100100001000000010111110010001101101000001001111011100011011100010010110011000011111110100101101011111010110101001010001111010000010011110111000110000100011100011000111001101011101001101110111110111111010110111110101001011101011111101011110110010111110101101111101011011011001110101100101111101011110110011001111011110101010001111001001010110001000111001100001000011000110001111100010011000111010000111111101001010100010100000100111111110101000111001101011010010110010110110011110001111010100011000110111010100001011100111111000000010101000100101011101011100010110000100001000000100101011101010111111111000010101000100101011101011101001111100011100110100100011101100010010101110100000100111000010010101001101001000111011000100101011101110001001011001100001111111001111111111010100001111111100000101100111100011110100111100111100111110011100011110010000100110100100011101100010010101110011111111110011110100011000111111100101001111101111011000010000100100011101100010110111001011101101010100101000110000101111100100011011010100011010000101100101110111010010000100000101011101110011001011001100111101011011101010001100001011001111000111001111100101000010111010101110011111111110001000111001100001000011011101010001101000110111111100011010111110111110000101001111001000100110100101101010110101001111101001011001011011011111111100100000001100111100011110100001001101101010101110101000110000110110100101101011111001000110110001011110011100100111101001110111001100100100000101011101111010101100011000111110001110101010110110101110001011000010000100001101001011010111110111010100001011100111111000001001101000111101001100001000011011100001011011001010011111011101010000011111101001011001010111010011000110111111110000010100101001011101010111010100111110111000010110110111101011011011001111000111001111100101001111111100100101011100011000111110000100011010011000111010000111111100110100111100000010111010101110101001111101011010100101010110011001111011110101100001110011111110000000001011011110101101111010011011110100110011111111111010100000100101011100111100011110101100111001111111110100011100111100001010010100111011001010111010010110101111100101110101100001111111110001000011001011101111110100110111101011111110011101011110101100111111101110101011100111100011110111101011110011010100011010000010000101110101011101001011010111110101001111100010111100111001001111010110010111111111100001010100000000010110100100101101110001001010110110111010100011010000000100010100110000100000101101101001010100010100011101000110101000010111110010001101101010111111111000010101001010111010100111110111010100011000110001000010111110100101101011111010111010000100101000111001000010111110011110001111010010010110011000010011111110000010110110100111100111100101111111110111010001101000101101010011111010100011000110101110100111110001110011010010001110110001001010111001010011110011111010100011100100000010110100101101011111001111110101010111000100011100110100010010101110001100011111000010001101110101000100011011111111000110001000010101101000110111111111010001111010010110101111100101001111101111011000010010111000101110101011101001001011011100010010101101101110101000110111001011101100010010000101010000011010101101011010100101000111101000010011011011110100110111011111011101100111011110101010110011101111010110110110010111110101101111101011011011001110101100101111101011110110011001111011110101011000110001111100011101010101101101001010100010100011101000110101011011110101110111011011101001101111010110000111001111111000000000101101111010110111101001101111010011001111111111101010000010010101110011110001111010110011100111111111010001110011110000101001010011101100101011101001011010111110010111010110000111111111000100001100101110111111010011011110101111111001110101111010110011111110111010101110011110001111011110101111001101010001101000001000010111010101110101000110001101111010110110110011110001110011111001010011111111001011001111000111101010001101000010110010111011101001000010000010101110001100011111000111010101011011011111000101100001111111011101000110100010110100110000100001100101110111010010000100000010110100101101011111010110010100000101010100111100000001101010001011010010110101111101011001101000010111001111110000000101010001001010111011101010101101101110000001100011000111110001010011110001101111111100011011100010011011100001010111010010110101111101111110011010010010001101011001000110100010110100101101011111011100101110110100011010011111111000010001101000101101010001101000010110100101101011111001100111110011110100011000111111101001001011011100001011011010000100100101010110010111011101001000010000110100101101011111010110010100000101010100111100000001101010111010011011101111101111110101001101101010000001010100100111000011101100101101101011010011000111110000111100011110111101010110001100011111000101001111100010111100111010100101110011111101001110101000110111000010110110011010011110000001101001011010111110100110001110001101001011001111110111000010110110001000010011000011010100011000110101111001010110110100101101011111001011000010011111111011101010001000110111111110001101011011111101001010101000001101110100110111011111011101100110010101000010101100110010101001100101111000011101010000110100100111001011110001110000100101000111100101110101010101111000000100110000010111011000110111011111011010111100010110011000010111111111101011111110101010110010011001011110000101111101111101010101100101111101011111011101111101101011110000100100010011000010111010101110001000010011000000010111010101110010100111100111010110000010000100011000101111101001011010111110101110001110011000010011111100010111110111010101011011010100011000110001010010100101111100101111000011101010000110100100111001011110001110000100101000110101011101001001011010010110101111101000110111111111100011000111111101000010010010101011001011101110100100001000011010010110101111101011001010000010101010011110000000110101001010111001000110110101000110001100101001111100000100000110111001000110011110001111011110000100101011101011010011011111010011010110001100011111110111110000101110011111100000001010100101011101001011010111110010001101100011000111111100101001111100000100000110111001000010101110100101101011111001000110110101000110001100101001111100000100000110111001000110011110001111000010011110010011110011110100011000111110101011100011100110110000001100011000111110000101111011101111000110101001111100010010010001001100001011111001111111001111111001101001111000000001011010010010110010111011101001010011000000100010000001011101001101110111110111011001100101010000101011001100101010011001011101101011110101101010111011111110101001011110001101011001101101100110001111010011101011111011011001001011001110110101100110010101000010101100110010101001101111010110101011101101011110101101101100100101100110010011111101011010101111001110010111111101100110000101111001101100101111101011010101111001110101100110010101000010101100110010101001100101110101001101100110001111010111101100111011011110101100111010011011110101111011001000101111101010111110110110011000101100111011110100111110111011