1010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110110110000100100000011101110011010001011001111100111110111010001000001100000110010111010011100000011000110000110000011110110111011111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110000111000011000000000000100110011100001010011000110011110000110111001000110011011100000001111111000111100000111000011111111101100110000011111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111000110000111110001100100110000000110011111000001111100010001101110010001100110111000110110000111110001111001111100000110010011110000000010001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110010111110000000001001100111001101100110110011100001000011011100100011001101110001111111011110000011000101111111001100000000001111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111001100111001100011001000000000111111100110001100100000000000110111001000110011011100100000010000000000000010000000000001000000000011001001100011011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111101101001101101100001001000001100111100110100010110011111001111101110100010000011000001100101110100111111100000110110010000100110101011110101111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000011011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011011000010010000011001111001101000101100111110011111011101000100000110000011001011101001111110011001001111001100111010010110101011110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111110011011000000011111110000111111101111110000011111010001101110010001100110111000001110011000110000011111110000111001111000000000011111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000000011111111100011111000000000111111111110001111111001000011011100100011001101110000001111111111100000001111111000000000100110000011111001111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111011110000000001110011111001100000110000000111000010000110111001000110011011100010000110111100000110011100111111111000110000000001111100111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111100111000000000001110011000000011111110000011001111100000001101110010001100110111001011001111100000000010011000001100111001100011001110000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110110110000100100000010110010011010001011001111100111110111010001000001100000110010111010011100101100001101101000110110001111101111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011011000010010000001111101001101000101100111110011111011101000100000110000011001011101001010110111101100000010000010111000010101011110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100001110110010011010011111100010111001000000000110111000000001101110010001100110111000011010101110010001000111111001111000000000110110000110000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011001110001111111001001000000010100101101101011101001110100100011011100100011001101110000010000100010101000000011000011111011111100010001101011011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011110000001000111111100111100100111111000000110101000000110111001000110011011100010001011111010100111111001110010011111001110000110101111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001111001000010110111100110011001100111110001110100100001101110010001100110111001010011101011001100011110001001100011000111000011000011100110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110110110000100100000011111100011010001011001111100111110111010001000001100000110010111010011110010110000111011011000011001000111110111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110000111000011000000000000100110011100001010011000110011110000110111001000110011011100000001111111000111100000111000011111111101100110000011111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111000110000111110001100100110000000110011111000001111100010001101110010001100110111000110110000111110001111001111100000110010011110000000010001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110010111110000000001001100111001101100110110011100001000011011100100011001101110001111111011110000011000101111111001100000000001111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111001100111001100011001000000000111111100110001100100000000000110111001000110011011100100000010000000000000010000000000001000000000011001001100011011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111101101001101101100001001000001100011000110100010110011111001111101110100010000011000001100101110100110010011000111011110100100100000101010111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011011000010010000011000110001101000101100111110011111011101000100000110000011001011101001100101101001010100000100111111001011101111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111110011011000000011111110000111111101111110000011111010001101110010001100110111000001110011000110000011111110000111001111000000000011111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000000011111111100011111000000000111111111110001111111001000011011100100011001101110000001111111111100000001111111000000000100110000011111001111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111011110000000001110011111001100000110000000111000010000110111001000110011011100010000110111100000110011100111111111000110000000001111100111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111100111000000000001110011000000011111110000011001111100000001101110010001100110111001011001111100000000010011000001100111001100011001110000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001111110101110011000111101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110110110000100100000010100000011010001011001111100111110111010001000001100000110010111010011110111001001100110101110110110001101010111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010011111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100111111111111001100001010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001111111110100111111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011101001111110000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011101111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011011000010010000001110111001101000101100111110011111011101000100000110000011001011101001100010101101100100101010111110100010111011110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101100011010010000100010011001010111000000001001000101000000001101110010001100110111000100100001001110100000001100111111000101111000100000000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011111111110100110011001010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111111111110111111101100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011001111011000011100011001100111110000011110100010001110010100011011100100011001101110001110001111101011110100110111101110001111111111001100100101101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100111101010010001101111111001111111111111001111111001110000110111001000110011011100001001011111011000000010011111111111111111000011110111000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101110100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001101111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101000111111100001101111010000111111001111100100100111000000001101110010001100110111001011111101011111001011010000000000011001011001011011111100110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110100110011000111101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011111111101111111110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110111010001101100101110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110110110000100100000011101000110110011011001111100111110111010001000001100000110010111010010011010010000110010101101001010000111010111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100111111011100001100111010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001111111111101111111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110000111000011000000000000100110011100001010011000110011110000110111001000110011011100000001111111000111100000111000011111111101100110000011111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111000110000111110001100100110000000110011111000001111100010001101110010001100110111000110110000111110001111001111100000110010011110000000010001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011011001111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011101111111111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110010111110000000001001100111001101100110110011100001000011011100100011001101110001111111011110000011000101111111001100000000001111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111001100111001100011001000000000111111100110001100100000000000110111001000110011011100100000010000000000000010000000000001000000000011001001100011011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111101101001101101100001001000001100110000110100010110011111001111101110100010000011000001100101110100101000010000111001101001110000110101011111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111111111110110011101100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001101101111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011011000010010000011001100001101000101100111110011111011101000100000110000011001011101001010001111001010000111110010110101011111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111110011011000000011111110000111111101111110000011111010001101110010001100110111000001110011000110000011111110000111001111000000000011111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000000011111111100011111000000000111111111110001111111001000011011100100011001101110000001111111111100000001111111000000000100110000011111001111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111011110000000001110011111001100000110000000111000010000110111001000110011011100010000110111100000110011100111111111000110000000001111100111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111100111000000000001110011000000011111110000011001111100000001101110010001100110111001011001111100000000010011000001100111001100011001110000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110110110000100100000010110100011010001011001111100111110111010001000001100000110010111010010011111101001101111011011100101001101110111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101001111110001101000101100111110011111011101000100000110000011001011101001101011101111111110100111011101001010101111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111110000001000011111110010000111111001100111110000001100001101110010001100110111000001110011100000000100111111100010110000111110010011111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011001111101011000011100100111100111110010011000011111100110100011011100100011001101110001001111001110001011000010011001111111100000010000001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111100100111111100000011111111111101011110010000111001101000110111001000110011011100010000111000000100111100111001111110110110011100111001100111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001000011111110010011111110011100111000000111111100100001101110010001100110111001011110010000111111000011001110001101000011111100111100111110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011111101001100100001111010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111111110110111111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010011111010011010001011001111100111110111010001000001100000110010111010010100110110100110111010110000011110101111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000001001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110000111000011000000000000100110011100001010011000110011110000110111001000110011011100000001111111000111100000111000011111111101100110000011111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110110110011000100101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011111111011011111110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111000110000111110001100100110000000110011111000001111100010001101110010001100110111000110110000111110001111001111100000110010011110000000010001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110010111110000000001001100111001101100110110011100001000011011100100011001101110001111111011110000011000101111111001100000000001111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111001100111001100011001000000000111111100110001100100000000000110111001000110011011100100000010000000000000010000000000001000000000011001001100011011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111101101001101111111110001010101100010100110100010110011111001111101110100010000011000001100101110100101100110001110100101111000001000001010101111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010111001100011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001111111111101111111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011111101011100110001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111111101110111111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101011000101001101000101100111110011111011101000100000110000011001011101001011000111011001010110011110101000011101011110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111111100011000000000111111111111001101111000000000111010001101110010001100110111000111110011000110000011001111111111001100011000000011111111110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000000011111110000011001000000000110011100000001111111000100011011100100011001101110000000011111110000011001110000000000011100110000011111001111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111110000000110000000111110011111111100000000001100111001110000110111001000110011011100010011000111100000001111100111111100011000000011111110011111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101110000111000000011001111100000110011111000000000111111100000001101110010001100110111001000111001100000111111100000000011100000000000111000000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100110010110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010010100110011010001011001111100111110111010001000001100000110010111010010101010011111100101111110101111101101110111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101001110100001101000101100111110011111011101000100000110000011001011101001011111111111111010011101110100101010111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111110001011111111100100111100111111000000111111111111010001101110010001100110111000111001100111110010011111111100100111100111111111111111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110000100110011100100000000100111111111111000000111110100011011100100011001101110001110011111000011111110010000111111101000001111111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111110011110011100111111100100110011100111001100111001110000110111001000110011011100011111100111111111110011111111111111100111111111100001111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111000011100001111111111000011111111001111100110011100001101110010001100110111000111010110011111001000011111111100111111111111001001111111110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010011101110011010001011001111100111110111010001000001100000110010111010011001110010100111110100011010000110101011111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110000111000011000000000000100110011100001010011000110011110000110111001000110011011100000001111111000111100000111000011111111101100110000011111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111000110000111110001100100110000000110011111000001111100010001101110010001100110111000110110000111110001111001111100000110010011110000000010001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110010111110000000001001100111001101100110110011100001000011011100100011001101110001111111011110000011000101111111001100000000001111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111001100111001100011001000000000111111100110001100100000000000110111001000110011011100100000010000000000000010000000000001000000000011001001100011011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111101101001101111111110001010101100111100110100010110011111001111101110100010000011000001100101110100110110111001110110110010010101110001011101111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110001010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110010010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011111110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101011001111001101000101100111110011111011101000100000110000011001011101001101100101011001110001001011100100011111011110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111111100011000000000111111111111001101111000000000111010001101110010001100110111000111110011000110000011001111111111001100011000000011111111110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111001001100111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000000011111110000011001000000000110011100000001111111000100011011100100011001101110000000011111110000011001110000000000011100110000011111001111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111110000000110000000111110011111111100000000001100111001110000110111001000110011011100010011000111100000001111100111111100011000000011111110011111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101110000111000000011001111100000110011111000000000111111100000001101110010001100110111001000111001100000111111100000000011100000000000111000000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111100100111011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010010110010011010001011001111100111110111010001000001100000110010111010011000010111111101100001011111100101101010111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110010010101111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100111011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111000101010111000000111111110110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101001111110001101001101100111110011111011101000100000110000011001011101001101111000110111001001000011100100011111011110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100001110110010011010011111100010111001000000000110111000000001101110010001100110111000011010101110010001000111111001111000000000110110000110000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011001110001111111001001000000010100101101101011101001110100100011011100100011001101110000010000100010101000000011000011111011111100010001101011011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011110000001000111111100111100100111111000000110101000000110111001000110011011100010001011111010100111111001110010011111001110000110101111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001111001000010110111100110011001100111110001110100100001101110010001100110111001010011101011001100011110001001100011000111000011000011100110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001111111111111110110011000100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010011111100011010001011001111100111110111010001000001100000110010111010011011100111100110101001011010111000101110111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110000111000011000000000000100110011100001010011000110011110000110111001000110011011100000001111111000111100000111000011111111101100110000011111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111000110000111110001100100110000000110011111000001111100010001101110010001100110111000110110000111110001111001111100000110010011110000000010001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110010111110000000001001100111001101100110110011100001000011011100100011001101110001111111011110000011000101111111001100000000001111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111001100111001100011001000000000111111100110001100100000000000110111001000110011011100100000010000000000000010000000000001000000000011001001100011011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111101101001101111111110001010101100011000110100010110011111001111101110100010000011000001100101110100111001111011111000010000010111100101110111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101011000110001101000101100111110011111011101000100000110000011001011101001110010101111010011001101011000001010101111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111111100011000000000111111111111001101111000000000111010001101110010001100110111000111110011000110000011001111111111001100011000000011111111110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000000011111110000011001000000000110011100000001111111000100011011100100011001101110000000011111110000011001110000000000011100110000011111001111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111110000000110000000111110011111111100000000001100111001110000110111001000110011011100010011000111100000001111100111111100011000000011111110011111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101110000111000000011001111100000110011111000000000111111100000001101110010001100110111001000111001100000111111100000000011100000000000111000000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010010100000011010001011001111100111110111010001000001100000110010111010011010000010111100111100011111011011101111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011111111111100110011001010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001111111110110011000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011111111011011101110110011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101001110100001101000101100111110011111011101000100000110000011001011101001011011010110111101110010110101000011101011110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101100011010010000100010011001010111000000001001000101000000001101110010001100110111000100100001001110100000001100111111000101111000100000000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011001111011000011100011001100111110000011110100010001110010100011011100100011001101110001110001111101011110100110111101110001111111111001100100101101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100111101010010001101111111001111111111111001111111001110000110111001000110011011100001001011111011000000010011111111111111111000011110111000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000111101010001101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101000111111100001101111010000111111001111100100100111000000001101110010001100110111001011111101011111001011010000000000011001011001011011111100110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100111111111111001000011110101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001111111101101111111011001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011110101000110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010011101000011010001011001111100111110111010001000001100000110010111010010110100011100111100111110000100000101010111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011111011100100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111111101110111111100000110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110000111000011000000000000100110011100001010011000110011110000110111001000110011011100000001111111000111100000111000011111111101100110000011111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111000110000111110001100101110000000110011111000001111100010001101110010001100110111000110110000111110001111001111100000110010011110000000010001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011001100001111010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110010111110000000001001100111001101100110110011100001000011011100100011001101110001111111011110000011000101111111001100000000001111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111001100111001100011001000000000111111100110001100100000000000110111001000110011011100100000010000000000000010000000000001000000000011001001100011011111111011011110010011001011110000100101101111001001100111111011110110011011100100001001101110101100010000110001010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111101101001101111111110001010101100110000110100010110011111001111101110100010000011000001100101110100100011110011111010001101000011010101111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100101000111011111010011101111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100110000111101010111101111100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001111111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110011011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101011001100001101000101100111110011111011101000100000110000011001011101001000110111111010111110111110001101010111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111111100011000000000111111111111001101111000000000111010001101110010001100110111000111110011000110000011001111111111001100011000000011111111110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000000011111110000011001000000000110011100000001111111000100011011100100011001101110000000011111110000011001110000000000011100110000011111001111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111110000000110000000111110011111111100000000001100111001110000110111001000110011011100010011000111100000001111100111111100011000000011111110011111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101110000111000000011001111100000110011111000000000111111100000001101110010001100110111001000111001100000111111100000000011100000000000111000000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010010110100011010001011001111100111110111010001000001100000110010111010010111000110111101110010110101000011101011111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101001111101001101000101100111110011111011101000100000110000011001011101001000000100110100110111010110000011110101111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111110000001000011111110010000111111001100111110000001100001101110010001100110111000001110011100000000100111111100010110000111110010011111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011001111101011000011100100111100111110010011000011111100110100011011100100011001101110001001111001110001011000010011001111111100000010000001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111100100111111100000011111111111101011110010000111001101000110111001000110011011100010000111000000100111100111001111110110110011100111001100111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001000011111110010011111110011100111000000111111100100001101110010001100110111001011110010000111111000011001110001101000011111100111100111110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110111010101110100001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010011111010011010001011001111100111110111010001000001100000110010111010010000011111100001010101110001110111111011111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111011110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011101000110110010111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110000111000011000000000000100110011100000010011000110111110100110111001000110011011100000001111111000111100000111000011111111101100110000011111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111000110000111110001100100110000000110011111000001111100010001101110010001100110111000110110000111110001111001111100000110010011110000000010001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110010111110000000001001100111001101100110110011100001000011011100100011001101110001111111011110000011000101111111001100000000001111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111001100111001100011001000000000111111100110001100100000000000110111001000110011011100100000010000000000000010000000000001000000000011001001100011011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101110000110001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111111111011011111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111101101001101111111110001010101100010100110100010110011111001111101110100010000011000001100101110100100111011001111000110111000010101001110101111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101110100011011001011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001101111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001111111110110011001110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011111111011111101110110011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111010001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101011000101001101000101100111110011111011101000100000110000011001011101001001111101011010010000011110010010010101011110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111110011011000000011111110000111111101111110000011111010001101110010001100110111000001110011000110000011111110000111001111000000000011111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000000011111111100011111000000000111111111110001111111001000011011100100011001101110000001111111111100000001111111000000000100110000011111001111101111111101101111001001100101111000010010110111100100110011111101111011001101110010000100111111111111001000011110101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001111111101101111111011001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111011110000000001110011111001100000110000000111000010000110111001000110011011100010000110111100000110011100111111111000110000000001111100111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111100111000000000001110011000000011111110000011001111100000001101110010001100110111001011001111100000000010011000001100111001100011001110000000110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001100011110101010110111110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000010011011111111010100001100010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111111101110111111100000110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010010100110011010001011001111100111110111010001000001100000110010111010010000100111111010100011110100001001111110111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000110011111110101111111111100101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111011010011011111111100010101001110111001101000101100111110011111011101000100000110000011001011101001110100110110100010000000011001111110111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101100111110001011111111100100111100111111000000111111111111010001101110010001100110111000111001100111110010011111111100100111100111111111111111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011111110000100110011100100000000100111111111111000000111110100011011100100011001101110001110011111000011111110010000111111101000001111111001110011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111110011110011100111111100100110011100111001100111001110000110111001000110011011100011111100111111111110011111111111111100111111111100001111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111111000011100001111111111000011111111001111100110011100001101110010001100110111000111010110011111001000011111111100111111111111001001111111110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111110110100110111111111000101010011101110011010001011001111100111110111010001000001100000110010111010011101011011100000011011011011101111111111111101111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011000011100001100000000000010011001110000101001100011001111000011011100100011001101110000000111111100011110000011100001111111110110011000001111111101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110111100011000011111000110010011000000011001111100000111110001000110111001000110011011100011011000011111000111100111110000011001001111000000001000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101111111001011111000000000100110011100110110011011001110000100001101110010001100110111000111111101111000001100010111111100110000000000111100111001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011100110011100110001100100000000011111110011000110010000000000011011100100011001101110010000001000000000000001000000000000100000000001100100110001101111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111101101111001001100101111000010010110111100100110011111101111011001101110010001100110111010110001000011010101010110101110001011110110010001111000001110111111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110111100100110010111100001001011011110010011001111110111101100110111001000110011011101011000100001101010101011010111000101111011001000111100000111011111110110000111000011000000000000100110011100001010011000110011110000110111001000110011011100000001111111000111100000111000011111111101100110000011111111011111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100111111011110110011011100100011001101110101100010000110101010101101011100010111101100100011110000011101111111011011110010011001011110000100101101111001001100