11011100111101101111111010010010111100110010001100001101000001101111011111110011110111111111010111111101101110111001110100010110101110011111111111101111101010111011111101110111001110111111111111110001111001111110110110001111111111101101100111001110111001111011010101110010010110111111111111101101110101001011111010001110110111011110011101110111111110111110000101110001111100100011101101110100111111001100011111011100111011111101111101110111110101111111000110110010101010101001111111101111010011110000111101101010101111111100110101011111110111101111010001101101110101001101011011110110111110111100111010111001111111111101001110101110110011001111101011111100111111110110111111111011111001111111001111011010110111101101101111011101000011111111111111111111101111110101101101010011100111110101111011101110110111111000010111011101101111111111111111110010100010111111011111011001011110000110101001110011011011011111100111000111011011101111111101010100101111111100111111101001011111110100111111110010111110111110111001011010111010101111100110111111001011111111010001010011011111100111111111000011111110101011101000111111111111010101111011110110011110101101111111010011111100111011010111111111101110101111111111010110011110010101011111010111010111101101110011110110011110101001111101110101011011111101101111111100101101111011111111110110010001101101111011001111111110111101011111111011111111111111100111110111110111101111101110000100101110100101110001111111111100111111111111011101011100011110011100111111111001010101100010010001111010111110111111001110010111011001101110111111101110011110111011110111101111100011110111110111110111001101010011111111111101111001010100111011111110111101111011101011110101101101110110111110111111001011001011111101111111111110111101111001111101111000101011111010101011101101011101110100100111110101101111101011101110110111011011010111110111111110101011111001110110101111111100110001011111001111111101111111110000110110010111111011111111111011010011101001001110011011011111011011100110101111101101011111101111110001111010100111111010101101110110110110101110011111100010001101101110011110111111101011011110111101111000101100111011111101100101011010101101011011110110111110101101110110110000111110101011110111111101111110110111010101011101111011001110111111111010110111111110100111111001100111111110111101111101100110100111111111111110010111011011101011101101101111100011101010100111001101001110101111110111111100111111111011110111101101011010010101111110101101101110111101010111010011001111111011011000101111100111111101111111110111001110111011001000111010110110001011010010111111111110110101101011111111001111100010001011010111100011111011100111001011100001110011101101111101010110101111011000110011010110010111010110111011110100111111111111111111101111111110011101110101101011001010011111100010011110010011101011110000011101110001001110011111111101111110111001110111011110111111111111111001110100111101010110011101010111010111011101101111111101111011010100011011110111111111011111110010100111101101011101101111111111001000111111111101111011011011101101111110111111011101110110000111111101010001010100110111011101001100101101100100011101110100111010111010001011001111111101111110101100111111111101110110011110100111101111001011110101100101010101111101111111011100111011111011011111010111111111011100011111111110011111011110110110111110111111111111011101011110111010111110100001101010100100011111111111000111010111100110101111111011001101111111101101110101111100101110111110010001111110110111111010111110011010110111111011101111111111101100011011111111010010111101110111111100110111010111101111111110111011101101111011111010101111110011111111110011100101110101100100100111011011101100110111011111111111110111101110111010110111011111110100111111111111001111111010111111111111011011011110110011111111111011011000010001011111100010111111100110110110011111010100110110101101101111111010011111110111101111101110011011110101101101111101011111110111111100001101000010111110001100101101110110011111111110111100011011111011010111111011101010110101010110111010111011110011100011110000111111011011011110101111001101111111001000111100110110111101011111101100111011101110101111001111011010010111101101111100101111101101011111111100110111011011001011111111101110100111000010011111010111101111111111111110111101101101111111101011111101011111001110101011111001110010101000111111111111111101001010110001111111100110100011111101110101100111010011111111101110110111111101111011011001111111010111101011101111011110111001100110010110111111110010111010111001111001111111111011110111001001101100111011011111111111111110111110111011111011011111011111111111111011111111001111011011100100010010011001100101111111111011100111011111111110001001111100110111011101111111111110110100111111110111110000011101011111011101111111111011101111111101011000011111010011011100001111100111001111001111100111000111110001011011011101111101011011001011111101101110000100110011011110010011010110111111101101111101100110111101111111100011111100110110111001110111110010111111011010000100011110100111111111111000001011011111110001111100010110001111111010111101110001000111111101010110110001110100101001011111110111101101111101001111011111111110110111111111110011111101011100010111110011011111101101101111111110111111101011111111100101111011111111111110111011011111111000011010110100101110111101110110110101001111111110111101101100011111001001000011111000011011111110011111101110001111110111001010100111101111110011111101111111110001111111100011001111111111011110110011010101111101111001111001111100101011111111011011111111100101111010111111010101111101111111110111110011010011101101101110111011011001111101000110101000111110111111111101000111011011111101101011011110011111111011011101111111110111111011011011111111011111010110011111011011111110111111010111111111111101010111111110100101111011101011100110010110111110111001111000111111100111101111111111011101101010001100101110100011001101101001111100000111110110111011111000111011110111111011010011101110011101111110111110101111101011111111011111111111111111111111011111011111011011011001101110111110111001111111010101010011111010111011011111000111110111011101011001011101110100111100111111111010001001111010110000111111111111001011100101011011011111011111011100110010111001110011010111111111101110011101011101101011111111111010111011011110110001010101110101011011100101111001111111010111011111110111111110010110110111001111111110100100110111100110111111011110010111101001110001101111111101101011000001110110011111001111111010110111110011101110110000111101101011011101010011100011011111111111111111001100010111111111110111010111110101111110101111111001111100111100011011111101011111101111111011111110101111111001001100111110110010111101111111111100011111011111111110110111110101101111001101111110110110111110110101101111010010011100101101111111100111111011111011101110001110111001110001010011011111111111111000010010111010010011011011011101111100001011101111100101011010111010100111001110111101110101011011110110100111010011110110000101001110011011001001001111111101111110111001011111111100001110011111011111011011110111110100110110110111100010101001111011001111101110101101101111111100011110010011101101000101010011111100110110111111111110110111110101000101111111111011000011101101111011111111111110011110101111010110101110000111110001110111101111110110001111010011111011100101111010111101101110111010111011011111100011111111111011111111111001000111110011111111100010110110011100011110111111110111101101110111111111101110111111011101110001111110101110111111001010110111111011100001011110100101110100011110000010010110110111111111001011110110001111010001101011111011111100110011010101011000100111001110110011110111110111110110100111010101000110100111110011111001101111100001110101111111111110011111111110011011111101101111101101110011101010111110100101101110111100111101111100011110011000111011111111111111001111111111100111101100111111011101010111111100111101111100011111001110000011111111010110011101111111100010110010111001101101111111111101101111111110111111111111101101110010111100111110011111111001110101111110101101001110110111111011010110010101101011111011111101110111111110100010011111111111111110111111010110111100101101111110110111111110101111111111101001111010010111110111100101101100010111010111111101110111111001111110001111110111111011010011111111110110011101110011111011011111010111011100110111111111111011001110111101100111111111001101110001001110100111111001101000111111011010100011000011011110011111111001000111110111111111011111011110110111000001111001100110111101111101111100001010101001011111111011100111110010011101111000110111111111111011110101101111110111011100111110111011111011101011011111110011111111111111000111101011110011101111011101111011111001101010111100010010001111111111110011101010101111100000100010111110100001110010111111111101010011011110010011110111111111111101110101110110111110101011111110110111111000001111111111111111111111101101011111011111000100101111011111110110011011110111111111100110111111000001010101111100111011111111011110010110101111111110111111111111010110111110100111111001111111001111111100111111110110101111011110111111010111010101011010011011111011000111111101110111101100111101111111111001111101101111111100111111011111101111101111110111011011110111011111111101100010111101011010111111101111101111101111110101111111111101111100110011111011101101110011011001001101011101111101011111101011100111111111111111011011110100100111111011111111111111110101011011101111011000111011011111101101110011110101101100110111110011010111111110111011111110011111001111111101111011110111111111001110111111111110000101110110011011011111011011111111110111111110111111111110111111110101000111111100011011111011111101111001111110010000111010110000111101100111011111010011010011011101111011111110010000000111001001111011010110111110101111111101101111011011111111111011100010101111100100001111101111111110100001111000100111110111101011111110101001001100110011111110011101111011011101101111101010111011110111011011010110111010101001111011111101110011111111100101110001001111111001000000111111111111111110100011111110000101110011101101111111010101111111111011100011011010000011101111010100000111111101000011110100110010100101111011111010110111011111011111111011011111011111001110110110111111001111101100101011111001111111101101111101111101011010101111111110110011110111111001011111101110100111111111101011111100101110101011011001111110000111101110111011110101000101100111010111010001010101111001111111110111011011111101011010000101100001100011100000111011111110001011110101111110111110110101111011111011111011101101110111101001111101010010101111100111111011111101111010110110111101110101111101011110000011100101111111111011111111111001111011100101110111101101111010111101010111000111101011111101011111111110110110011111101110110010111110110111101111111001111001110101101110111001011110111011110111111101011111110110011110111111111011110111001001010011111001101100111000011101001011001101110101111100110101101001101011111101100011111011000111011011101011111110110101111011100011100110111111111101110101111111101101011011111111101111011111111111111011111011111101100111111111111111110111111111010111100101111111111001110111111110111101001011011011111101111110001111111101010101110111111111110100101111100100011111111001110110111011111100001000101101110111111111110111011111111011111111011111001111111010110111111101111011111011110110011100110111100010110101101100010001011111000111111011001111111111010101011111011101011011011111111110110000111101011010111111101111001011110011010111101011010111011001110111110110110100001110010001001111011110101110000000101101100101001111111101001111011110101010111100110110111111110100001101011100111001101111100010110101111111011001010010111011111001010100011111110111011110110111110011100001001110111011110101001011011111011011011010111100111111111001011101110111001101111000101110010101110111011001011111011011111010001101101101101001110111111101100101111011111101111111111111111111100111010010111111111001010101010110001101000010011010100011110111111111000111111111001101011111011011101001111010101111111111101011011011111101101011101011100011101101111101111111111111000111011101110110011111111110110101101101001111111011001100011100101100110011111111010111110011010111100100110001111110101000000100010001011111111100111100110011010101010010110111011100011010111111100110110111000001110111111011111001101111011011011010001111100000001101101101110011101011111110111111111111101111111111110110101111100101011101000011111111111001111100000111011110111001011010110111111111011111010111100100111111111000111110100111111010111101111001111111010110001000100111110101111100001111011101111100111010001110111010101000111111001110111111010111111010100110100111101111111111100110110110110011110101111111110010111101110111110010001111001101011110111011101101111111111001111110100011100111111010111110110110001101111001010101111001111111111100111010111110011011111000110111011101111111111111111010011101111111111110110110011111111010101111011010100111111011111111000111111111110111111110111111111111110101111100001110110111110111111000010100111010111101110111111010010101111010010111001110011111100010101100100101100111111110111111110101011111110111010111111100111001111011101010111111111101111110110101001110111110010100101101111101101101100111011110110000010101010011011001100000111111110111111101110101011000111110110111011111111011010111100011001110111110001111111110111110100110111010111011111111111010101011100110111001111101010011111010101010100001101111111111011111111110001101111101111101111011111111101111100111100111001111110110101111101110000111111111011101100011101001011110101011100111111111011011111100111110110111110010010101111101011110111011101011011111111011010110011001010111100101011011110110101011111100001011101010111101111101110011111101100111001011000101110010110100101101101110111111011110111010111101110011110001100110100101101111111011111101101110111111110101010011110110101011111110110011100111100011111011101011110111101111111111111111101101101011000000111111000111110101101111100111000101010111111110011111001110100111011011110000111010110100101111111111011111001110100101111111101101010100111011011001001011101111111101100001110111010101001010111111110111010100011011111011100010101011011110111111111111110111111111111110011101111101110111111111101111011100011100101111011011110111011011011011100001110110110010111111110111011110110000011111001111111001111000001010100111011110101110101000100000111111011101010111101100101111111101101001110111100101111011111100011111101111111010110011011111011011110110010111111111110001101110101011100101110110100010110101101111111101111010000111111111111110111101111010011011011110111111111111100110110000011011111101010010001111110110101101111111011101111011111011111010011111111111111110111011110110001111011101011001111111011111111011011110011110111111011101101000110111101111101011111110101100011110010101010101010001101111101111101010101001110100001111111110101111110101000111011001100111111111001110111010111111111110101111100111111111101010110011100111001001010010101111110011001101001011110111111011110010101011011111110110101000011110111101111111000011011101100101111100110110001111100101000011111011000111011010011101110111011100011110001010110000011011111011111100011000110110110101110111110011101100111110111001010101110110111001011011101111011111111101010011111111011110011000111111100111111011111111110101101111111111110000111010110110110110101101011110111111011010011101111101111110000111101110111011101110101111111110110111110001110111111111011001111100100011111111100001111101110111010111101010100101111001111101110101111100101110100110011110100111101110111111101110010111110100001111011111010010100101010111110000110110010101110001111010101111001110010110111111101111111011101111111011111111000110111111111111111011111010000111111101110111011000111111111111011111001111111010111001100111111111101111111101001011110111011111011101001011011101010111101010111111101100101111111111000101111101100110101110111100111111001011110001101001111011111111011101011101111111111101001111011011111000101111111110111111001111111111111011100110111111110111111010101101101110110010111111110110111101100111010111010111010111101110111111101011001111111101011111011101001010010010011111001101111111101110010100111111111010101111010101011100011111111010111111111101111100110110011101101111111111110001111010011110111011111011110010001101100011101110011110100101111110101111101111111110001001011011111111110111111011111101111011011101101111001111110110001110110111000011111110111011001110010011111010111111101111110010101101110111011101010111110100101110011111111011111111011101011111110001101111110111011111111111000010101110111111111111011111110111111111010111111111011101111111111111010111111101011111101010111111100110001101111011101111101111010011101010110001110011100011001111111111111000110111111110011111111111111011011011111111011111111111100111011100110101101111100101111011100000100111010010011111110110111010101100101101111101110100111111111011111011111001110111010101000011111111110100001001011010111101011100111101101110111111111111101011111011001100111101110111011110011111111011111111111010110111111111111111101110110011111111111101010011111011110011111011101101111001111101111101110111111111011101100001011101111111110101101101111100101111111010111000111011111010111101011100100111111101000111011101110111101100101101110010101111110010011100101101111110010011010010110011111010011011011100011111000111111101110110001010110010011011110001111111101101110101101110010111101101110101111011111101001111111101111101011101011101011111011111111011001010101001010111110001110110111010000101110111101011111100111101110111010111101011111111111111101111111101101011111101111011111100110001111000101101101111111111010011101110110001111011110111111110111011001101110111110011101101010110110010111111100111000111101101111101101111111111111111111111101111011010001101111101011011100011111101110101111110011111111101100111110111100101111100100011101111010111101111110001111101111101011111101111001011111111111101110111011001111110101111111111000101010111111101011111110100110111111110101101110110110011111001001100111011111011011100111001000111101111110011111000111011110011000111101111111110001001010110111001111101111111101101001101111100110110001000001100111001011011111111110111111110111011101011110111101110011110100111101111101110110111110001110110011111111111111111110111111111011111011011101011111011101111110010001111011001111111111111001111011001110110110110110001111011101000110111100100011110000011110111000111011111111111111111111001110011101011111101110111100001101111111111111011111111111111100111111111001010011010110110111101110110111100111011101110110111101111111011011101111111111110111111001010111111101011111101111110111100011110010111101010010110111010111111000111000111100111111101110101111011110110011111110111110111010111110010101001110111011001101110100100010010111011011101010101000011111101111001111010111101101111011000110100101110011001101101101110111101111100111101011100111111110110110111111000101111111110110110011011010011001101111111011111110001111111110110110111111110110111111110111110011110101101011010100111110011110110110011010011001111011111111110111111111011110011111111111110101010110101110111110111111011011101111010101111001111111010110111010101111110110100110101000111101011000110010010110011100111111111110111110111110110010111110011101010100101100011111111111111011001111000011101111011101111111110110101111101000011011110010011111000111101111111111011111111100111101111000100100101111011111111111110111100010111010111111110111111101001100110010101010101110111111111111111011000001111011100111011001011001100110110111010101100110110011100111011110101110110001011011001110111101110100110110110101111011111111101101111010111111111101111000101010001101101111111111111111110111111111111010011110010111010111111010101110010011010111100011101111111011110011111111111010110101111111111111100101111100110100011111111110101110011111101101100101111110001111110001101111011101001111001001111100001111010101101101110001111111011111111101001011110110110001111011011011100111001111111111100101011101011110111101111101011100111110111010101001110111101011111010100011111111100111011111111100110110000111110111010101101110011110111011110111111111111111100111110110111110100011101110011100110111110111100001101011111111011011001111110011011011111100100001111111101110011110111101110111101111111111110100111010110110000111111000101111111111011011011011100100111011011110111101000111100111100101100111111101001111100011100101101011111111101110000110101000111110101010111101011111111011011011010101010111101111111101101011010011111100101110101001101110001110111101101111100011101011110111101100101111111100001111011101010111111011011111110111101101010010001011010111011000110111111011000110111010111111110111111101011111111111111011100111011111111110001011101110110111000011111111110111111111011111010100010111111001011110101010111011111110010110100111110111101100110110110010100101001010011111111010111010101110001111111101110011101111011101110101111101111011101111010010000111111111111111111110101111010111011001010111101111100101110010111011110101011010111100000101101101111101010111100111111011101011110011111001011001110111110011111101110111011010100111110101110100111111100110101111001101110011100001100010111101111110111110100101011111011010101011110110111011111110011000001110100111111101101111111011101011011011101100100111010111111111010111101001111000000111001001110110001011111101110110110101010001110111110110011111101101001111111110111011001011110011111001110101101001100101110111111101100010101110111011001011011110010100101011110010000010011100011110100111011010011010100111101111100011000111011111111100100110010111111111111011011011001011111011010000011111011010010001101001101111100101001010100001111011111111111110011110111101111111001111111111001111100011001101011001000111111101101101100111100110111110000111011101011011101011101111100111111111111110110001000010010001111111110111111111110111011010111010101100110101101111111011100000111110011001110110100111110110111011101110000111111010110111001010010111111110101101111110110101010111111111111101101111011111111000001011101111101011110010110011011100011111111110100111100110011111011011001111111111111111110101111011101100011111110110111111101101000001101111010011111111111111011111111011011111110100110110010110110111100111111111101101111101011010101111011001011010111100011101111011111111101111011111101101101011011111110100111110010000110011111001101111111110100111111110011101100100111011100101111110011110011011011011101011111111000000010111111101111110011110111101111010011110000110110010101110010111111101101111111111111101110111001011010111101111010111111101100111010111111011111100010011101011111111001101101110101111001000111011100001111111111111100111111111100101101111111111000111101110111111111110111010101101110111111100100001111111111111111110101111111100111111110011111010111111011100110011111111110111101110001111110111000110101011101110011011110111001111001111110100001100001100111111110111101111101101110101011010110100111100110110011110101011111011111100111001101110101111101001011111111111111110111110100111011101001111011101110011111001110110111111010110010111111111011011011100010101011111010010100011000111100111111101111001011110001111111111111101101111011100111111001110101011111110110011001111001111111011111001111100111111111011111111011010101001011111011001111001110110111101101001101111101111111111110100011011010011111111110110111110010111111011111101101010111011111101011010110011110111100011010001010000001011111100111111111001111111111000000001110111111111111010011011101111111010101001011111101111010100101110101111100111111001011111010110011001110100011111111111110111010111100011110101111111111111011111111100101101011100111111110110111110011100010111101110011011111010011011010110111111001000111001110011111101100111101111101011111001111100111011011101111011101110111101111110011111101110011111111011111111111011101111001111111100011100111001100110111011101111100111110010111101111100111111111101010111010111110111101100001101011111111001101111111111101111110111110011111101111111101001011101111000011101111111101111001110100110110010111011111010111110101110110001100100111011111010111111011010110111111100110110111111101101111110110000001011010101001000111110101100110001111110001011000111011111001111001111110111001111000000111111111111100011110111011101011011111010111100011101001111110101111110000101111010001111110111111111111011101011111101110100101111111011001111110111001111010101100101001011100011011111011111100101111000110111111111011110111010100111110010110111010001111111111110100111111010101100111101111011100110111101010101111111111011100101011111000111111111110001101111110110001111010101110111011111111111111110001110010111111101111110111111101000111100011111111111110101011011101101011011111111010000101111101111110101010111100101011010011110010011011111111100101101101011111101111111101111101011011111111111101001111110110110011011111111100011111101110101111101101111111011111010001110100101111000110100001111001101111000101111001111011101110111101111100111111010110011111111101101010001100111111011101101111000011010010111101010110011111001111111101111010111111100111011110110111011111111011011111101011101010000111100110101001001111011010111010001111111001010111001011111101000001111101110101011111111001000111110001101110111110011111111001111011011111101100001101111010101110000110011110101111110111011110111111001000110110111111101111010111110110010111001111010101101101110101111001011111101110111111101110111101111111001110011110101011010111111111100100011110111011111111011010110111111001010011111101110011110111101111100111111111111110010110011111111111111111101001101110110110111011111111111010011011011110101100001111110001101111101101100101111011011111001111000101011110101111111110111110110100111011011100111101110110111111101110101011011100101001001011011111011111111101001111100011110100011111111110010110001111001111110110111011111101101110101101011010101011101111101100010111110011110111110110100001000011101100111111111110011111001110011101111111101111111011111000110011111110101110111011101110110111110011111100111111101101101111011110011011111111111111110111101101111100110010101111111101100110110011101001111010001111111001111011001101011111111000010111111000101100101110110111110001101111100111110100110110110011101110011011010011010111100011111001101101101111111110101110111111111111111111101101001111110001111110001111111101001111111011010111010111101111010111110110111011111011111111011111000111110011011111110111100110100010011100111111110111101100110001110111011101000110111111101111001011101101111011111100011111111011110100011101011111100110100111010101111011111110110101010111110111111111110001101011111011001011100111100111111101111110111011100111010111111111111100101110101101011110111010111011111111111111111111111101001111111110110111100111010010111110000101110011111100111110010010111110110111100110101011110111111001011001110011011110001101001111101101111101011111011111100011001000111011010011011010110011110010001101011101111010011111011100011111101111100111110110001111100011010010111111101011111111101111010111100111001110110101011001111111010111111001111101110111000011011101111000110011101101011111110111110111111110110011111001111101110111111111011011111111001100011011101001011010101101011011110001101101111111001111010001001101110010110011011111011110111111111000110111110111010111100111011111010111011011111100111111111111011000010111011011111111101111111100110100111110110011001010000111101111110111010111010011001011110110111111100111101111101101011101111111111100000111100111011010101111011110111111111111011111011011011111010111110111100111111011111110111111111101111111100110110111101000101110010001011111110111111111111111011111111110001110000111111111111111010111100101100101011111111011111011111111101101001100100101101110010101001110111000111111101011110011111110000011101100111111001111111110010111101010001111101101010101111101100111111111001111000101100110101111001101011011011101111011110010010110111100111111110110110110011110111110111011011111111000111111100111111001100101001111110111111111100011011110010010101111001111111011010001111110101111111111101110111011111111101110011011111101101100001101101111111011011111011111111011010111100110110101111000111110111101110101101111110000011111101110000111110111011100101001100111100110111111111111010111101010101000100111001111101101110111010101010001011101111111111111001001110111101111001111101001111000011001111111101011111111011110111111011100011011011101001111011111011011100101010111100111111101001110110010101011110000101100111101101001110110111101111101101101110001010011101101111110111011110101011011001101001111111111000000100111111001110001111100101101111100111011111111111101101101110011111101001100111001011111111110111110111001000101111111110011000110110100111110111011101110111100110110011111101110110010111110011111110011110011101101111101111111011011011110011011110111100001101010101100110101101101111000101010111000110001111001111011110110111101100110111110010111001110110101111011110111111111111110111111000111011011010111111111111110111100011111011001011101101100111110010101111110110111010111101111000010111111111111111011101011011110010111000111111110111100101110111101101000110101011101011101111111111111100011111000110011101010011111001111001001111101101111001111011111101011111110110101010100001010111011100111111101101011110111011111101011010010111101101100111011110111011100110110111111110110111111111001111111111110111111011111001010001011101001100101110111101101001001011101110111101011111101111100101110000001111000011111111101111111011011010110111101110111111111111111110111101100011111101010111110111111100011111100010111100110111111011111111011000111111111010000001110111110111100001111010111111000101011111011011001011111100011110010101000111100101101111101101101011111110001110011111011001111110101110010111010011111110110111110110011010101111111011111111001111011111111101110011101101000110111111110101100111010111101001110111101111011011111101111101101111111001001011111111111111101010111110001101101011101101111111011011001111111101110010010100111111011111111110101110011111011111111100111111010110111110111000111111111110111111001111110000111011111011010111111001111111011011111111000011111111100011010110110110010111100111111011111000110111110001000100111011101011111001000111010011111001111111011010011111011011101111001111011101100111010011111111010111110110111100111011111111111010111111111011111111101110110011110101011111111011111111101110111101110011111101011011011111010111111111011110010111011001111001001101111011110011111101101010111100101100111111101100111011111100111110110011111111111011001110111111000111111101111000111101110111001111100101010111110001111111101110100011100101101000111011101011111011111000100111100001111110011111011111111011111010111111100111110100101000110110011100111110111011110011101100011111011111101010111101000110110101100111011111100010101001011111111111011011111110010111111010001101111101111110111110111101011111111101111110011011011110101011111101111111101111111010001011111111011110110101111101111110110101110011110110011001111111111111001011101010011011110110100111101011111100001001111101101111111011011101010111101001101101100001011101101110111101100100111101111011111111101101011000001011110100011111111110101111101011101011111111011100110101010101111001111111101111111010011111101100110100001111101000011110001111011001111111111110111110111111001110111111011110111101000111101000000000111101110111111011011101110101011011010011010110110111101101110100111001111110101010011111101111100111011111010111111111111100011110000011101111111010011010111101001111101010100101111111111011110111111111010111111001011011111010111011011011110110001111111100101001111110011100010111110011000110111110101000111111011111111011101100111111110110100011010001111111101111101101100100101111000110100111101111111010110111110111111111110110111110010011100101110111011001010111111101110011110110010011101111111111111111011110011101110000111101111101011111011110010111110111111111111101101111101101011101011101111011110001001111110111110001010111111101111010011111111001111101111101011111101111111011110111010111111101101100101111111011010111101111111001111110111011001000111011100110010011111111101111011110111101100111100001001110101000100111111100111101100111111011111111100110111100101011011111010111100001111111111111011111010110010110010010000010000111111101001111111111110111111000111100110101100111110011110001111011110011111110111111110110111111001110110000110010001111101101111101111110110111001101111111011111010111101001111000110100111111011111011111100110101011110001110100101111011101010111111111010011011100110111100111010111101010101100111111011111001111101011101111011100010111111111111111100011111111101011111111111101101110111111110110111111111110111010111111011110101000110111101001110111011111101111111111011111111111111011111101011011110111111011100001101110111111111011111111101111011011011010111111111110001111010110011011111111100011101101011011011101101101111010010100001011100101111101110111110011101001110111000110100011101101110100100011010111011111111111101100100101010011001111100111110111100110110111001101110010001110110101000011001111101011010111011111111001111111101010111010101111110001101111111110100011111100111110101011100101101100111101111010001011011111110101101111010000011110111011111101011011110100110111100111110110100101111011100111101111011111111011111000110111111111100100100101011111101111101101101111010110110111001110111110110110111111111111101100010000100110011111101111111111111011111110011100101010111111111101011111110010110100111110110111101000011001110100111111110001111111110111001001110001011111100111101111110111111110101101101001100111101010010101100100110101111110100100111011111011111011100010111101101111010111110110101100111111101111110110001111000111011101110100111011011111001111111011011001101101111011101111111110011011001011011111111111111010100111010101001001011111110110101100100110111111111010110111011100101111001001011011111011111111111011111110011010101001111101110111110101111100110011111010101101011110011101110111101101100111100110111001010111101101110111111011100011101110101110111110111111111011001110111101111111111000111111000111011011111101101111110010001111111011110011110011111111101101111110011000111111110101000111100111110001011101100100001100011111011111011111011111111000011010111111001111111001010111111100111111110011111110001101111000101111111101011000111111011111111111101111111111111000000100111111110001110101111011001001011111111111101011011000111101101111111100000100101111001111101000011010001111011111001011110110111111111001110101001111100111110110110001010111111110111011001111000101011011110110000011000110000001001101111111101011101111011101111111101101101110001100111101000110010110111000111011011111110111111100111110100011110111111011101110110110100110011111111111001111110101011111001110011011110010011111111111111111111101011101100111110111111111111001111011111111111011010001001111111100101111111001101011111011110110011101111111010011011011111110110111111001001010101001011100101011110111011100101110111111101111011000011010000001101011101001111100110100110011100011111100001011111110110111010101101110011100100100000011111111111111111101101101100110111001111111111110011001111011110001101011111110111111110010111010101111111001111101111111111001111101011111111111111100110111010110111010011101101110111010110011110111011111101100111111111110011111101011011111000011111011011110111110101010101111101010101110011111001101010110111011011111011111101101101010100111111101001001101110101011111110100111110111001111100101111000110011111111011101011011001111000101111110111011111111101101110101111111010011011011011101111111110010111111100011110111111111110110101011011111010111111111100101101110101011110101111111101001111110111111110011111111111111111111111110100111101001111101001111111110110110111111110111111110011111111000111101110101111000011111011111110111111111111010110101110010111011110011101010111111001011111011001111010111111111101110111011111011100101111100001110101011011110111111101011101111101011101111101100011110111100101101000000110110111011111110111011111111101110110111111011001011110110100010011111111010001011111101111001011111010111111001011010111011011101011010100011011010111111011011011111010101011101011100011011000110011111110011101001101001011001110110011100111111111110010101111110011001111111111010100010111101001111001111101011010010001100101011110110111101100111011111110010101111110110011101110111001100011110011111010111110110001110110100110011011111110111010111101001110000110011111011111111000111100101101011111111111110011011111101110101001011101011011110101011101010010110010011001111111110001101111111000110011111101010010110111000011100111000010110111011111111101001110111111111111100111110110110101111110111101101101001101010110011111111010100111010110001011001110110111011111100110111101111111111101111001111111111101100111001111011111101111101110101110011001110111101011111101111100100110100011010111111111011110010111110111010110111111110001111110100011111010101110111010011111111101101111011100111110101111111011111101111001101101101101001111011110111011111011011111010111010010011111011111101111011101111010101001011101110111111001101111001100111111111111110100110111010011111111011111110011111101110111111110011101011101101011011110111100000111101010111110101111110001110111101110011111011101111001011111110101111111110011111001110110000110000110010111101111011111101101101111100101011101011100101001001111110111011111110101111111111111011111101011111101111110111111111001111000100000000011111011110111011101100110110110110111111011101010101111011111111111111110011110100111010010010111111010111110001011111111011101111111011011001101001111010111101111101011111110110100110111111000111100111011110101010111111110111101111101011111111011110011111010111111011010010101111111111101110101100011111101011101101010101010101111111001101110110111111011101101111101011111100101110110111011111110111010111111100010111000011111111011111111111111110111111011111100101111010111110110111111111110111111101101111111010011111111111100111100000111111011111111010001011011101110111011011110111111110101111110001111011101111110011111110110101000111010111111100110010111010001011100001111011111111111000101101101011111101011111010001110111101110111100111001111111111010010101010101011011111100111111101011110111101001000111011110011101101011111011111111001001011111001010100011111001011001110111101100111101111101111111111011111100111111111101111101011011111110110110011111011011001101011010100001101111110111001010001001111111111111100111110010111011110101101111111101110101100111111001110001111101101111010111111100001110010010011010110111011100111111101111010110111001100110110000001011001110011100110100001100110101110101111100100111101110001110111111111110011111100111011101010101100100111101011111110110100010111100111011001001111111101011110000111111111111110101111110101111011011010011010110111011101111001111110010000111111111110100011101110101100110111111111111000101101101111011110010001111011011110111111111010011011010111000111100111110111101011011111111110110111101111011111111101001111101010110111110110011010111111111010110111111111110111010011101011110100111111110111001110011111111011110101010111011110111111101011111111011110111011101101110111000111010011111111101111111010001011100111001110110111000111100111100110110111011101111111111011011010111011111001111110111101101001110011101011111011111011110011111010101010101111001110111110001111110101010111000011101011011010011101011111011111011110111001111011111111111111111111011111101111011011011110110100100101101111101111111100011111110110101110101101100001100111111010101110011011011001100011001011101110010011111011110110011100011111000110011111111010111001101111110111101111001010011111111011001001100101111111010111001100011111110010001001110101111100101111011010001101001001010110111011111101010110101111011011111010111011111010111110110101111110100001110110101100111111011011100111100111011010110101011110111011101011100001011111101001101110101011001111110011110010111001011001111111110110101010011010101111001110010111110011101010111000101101010101011001011100101111111111110111011011111110111111101111110111011111111101010011111011011111000111101100111101110111101111101111111101110111011000110011010111011100100111101111111100111110011100111101111110110101010000011111110101111000111111111111101111101111111010001111011101101111111111110010011001011011110011100101111110111001011001011111110111010011011110110100001101110100101111111111110111110110100101100111110110111111100110100011010111010010111110111111111110011101011101111101101111111010001001110111011111101101111101111110111110110101011111011110110110001010111010011111010100111011111011000001010101110110100101110110001100101111111111100100111111110111100010100101100111111010101100001011010110011101111101111111010111011111100111111110000110110101110001011011110101100110111101101110111011001010111101111111110111100111111110110111111111111001011100111111011100111001010101110111011110001010110111111001110011000111111011111100110101100111011101110111100111111111101001101100011001110011001110111011101100111101011111011100010101011101111110001101111111110111100101111111111001011111110100011010111111111011111101011011111111100000011111101101100010111111111011011011110111101011010111010111111111111011111101111101111111111000111010011100111101000110001111100111111110011010111101011111111101100011011111001001110011111111111101100001011010011111111101111110101010111111011100101110110111111101001111101100101011111011011010101011010111111111110111111110111110111010111101001111111001111111111011111100001101001000011101011010111101001110011101111111101100011111110110110100001110010011110101011111011111011010010111111101101101111001111111101000111100010110110111111111100111011101000100111100000111100111110100111011111110001110011111100111011110010011100110110101101011011111110111111111101001110011100000111001101111111011101011111111110111101111000011000011101001111101110100010101001111110110111101110011110011011101011011111110011001111111110111011101111111000101011011111001110110101010111111011110110111011110110100101101111010111111011101001100001110111111101110111111001011111011101101100110111101111111101010111010011110001010111111101101111110111110011101110011110111110011111110111101111001111110110111111110001000011110111001011001010011001111101110110111111101011001011110111001111011101111111101111111000110011100101000111011001101111011101111111100111011100011101110111111111111000101111101111110011111011101111111000111001101011111010011101111111110111011111101111111100100111101111111111110101111111001111100010101011111111011101101111001110111011001101110111110101111011111101111110100110110011010111111111011101100111101111110111110111111111111111111010111111010001001111111111110101011101011111111010011110011110011011001101101111110110100111111010100101001110111111111101100111100111000111101110101001001001011101010011011101101100101101110111101111111111111110100011010001011100110111110001011111100011111001110011101101000101110111011111110010011111111111111010100111110000111011101111111111011101010101111010011101010011011110101111110110000010111010110011111111111111111011111011111100111110001111101011111011011101110111101011011101111010111111011111000110111000111101110010010100111001111011110100011101001111101101011001111110110110110010111011110011101100110111101100001011011111010010100001101111111010101101100011111110001111100100101110101011101100011111111000001111110110111011111100101111101000110011001101111111110101010111011110111111011001101110111110010100011101000111111111010101110110110000110001101110111110110010111110111111111111011001110110111111111111001100011110100111011101110111001111101101111101001111111011111011011111110011110111001111111011110111101011101110011011111000010111011011101011101010110111111110111011101111110101011111111101111111011110111101101100111111011101111111111111111111001000101110001110101110010110111111110111011101111111111111110111111011010101001111011011110101100001011011111101010110001111100111011011111111001010001011110111110110011011111110110110111011001011101110111101100111101111111000100011111101101101101110101011111111111100100010111011111111110100011111111111111111101101101101110001101111011110110111111110001100010101101011101101110001111101100100111111011001011110100110110101001001101110111010001111111000111000011110100001110011111101011111011101011111111010011111111001110111111110111110101111101110000001110110011110100101110111110111111010111111011001011111101001010110111011010101110101111110010011110111110111101100110111111101100011010111111110101111011111111111010011101111110101111111101010110101111010101111010111110101110001111111111111010110010110111111110111110101111110111110011010000111110011001101010111111111111101010000111101111001101001000111111011110111110010100111101011110111111011111100111101111111001111111101111011011110111001101101110010100010011111110111000111011001100100100111011110110111011110101011111001110011111011111111011111111111111001110101110111101111110110011111111111101010111101111001111110001000111110001111101111100111111001011110010001001111111111011011111101110111111011100110000111011111001011100111111111100101111111110111101101111111100110010111111111111110101111101011101100110111111111011110111111101111111011011111111011011010111110101100111111110101011111101100010011110011111110101011111111011100001100111100110101101001000110110110010111101001101111001100110111000011111011001001011111010010111110111111110111001111101111101111110010100111011110110101110110111011110010111011011111000101011011110101111111101111011011100101110011101111001011010111011111101111111111111101110010011001111111101110101111011111101111111101111111011101100110100000011111011101101001010101010111011101111011011111001010111011100111100110111111010111111111111111011101101110111110011100111111111011011011111111101111100111011001111101110010111111010111110101110100110001101010011111111110001111111010111100010111100111011110110110110101101111111110110110101001010010110111010011011101111111111110011101110011111001011110111111110101011101101011100111111011011011111001011011110101001111110011110001101111110111101101111110111011111001001011101011011101011110101111111101110101110111101011000011101111010001011101110111001101111111111011111111111111011111110110100110110111001111111001111111100101011011001111011111111110011011111110111011111001111011110100111111111100111010011101011101101110100111011111011110100110111101111010101101111100011110101011111111110111111111001101101001111111111001011111100100111101110111101111101110010010110110101110001101111011010110110011101110110111111111011001111111101111110101111111100000101101011111011111111110111011111101110111101110000110110111010101101001110111101101111110000110001110011011110110101110100101111011111011110000011100111111100110111110111111111111110001011110110100110011111111011101111011011111110110101001110001001110100111111110101111110011111010111111010011111010111110110001101100111111111111110010111111011111000011001100011100101001011110110111010111100100011011111111111101100110011111111110111011111010110110011111111100100111111111111101011111011101101111111001001010111101111100111111111011000110001111101101110111111111101110111111111100111111111111110111110011010011111101001011110101111110011011111100110011011101111011111111110110111011101100110101100110101101101011110111111110111101011010111111110011110101011001101101101010100100110100110111001011001111101111111110111010110011101111111000111111111010100101110111011110101111100100011011111010010000110001111100111111111111111011100100000011111111000011110111011111010111111001110110111110110101111001101111101001000111001111110110011101110111100110111101011111111111111111111011011101111111100111111111101111111100111111111111010111111010011011111101101010111111011100111011010111110011101110110110010111110111110111111101111001110110001001111001011100100110101101111110010111101111100101111101101110111101111011111111101111101111110011110111111110100111111011101111111011011111001110101111010011111001011111111000111011011110001111011110110111111110011111101010110101110111110101111110001011110101101111110010110001001101111110100011001110111111111110110111111110011101101110010011101111000111111110111111011110111110110111111111111110010111111011011111111001101101010111110001111111110000101001000111101101001111010001111111000110011011011110111100010111001101011101101100111111111111100111100111111110000101001010110111001101111011111110100111001110011110011111110101111011110011111111011111010111111010101010101101001111101110111111101111110111111101111011010101011111110111001111111011001011110100111010111011100110011010100011110111010111111001110001110100011110111111110010011101100010101101001011100111010011111110111111010111010101111111010100010010100110111111110111000001110100011101110010111111110111101101011011111011111110011111110101100011011110110101011111101011010010011010100111001010101110011011111111011111011011111010101001111101111111101001101111111011011101101001110110111100111011110110110111010001011110111100011110011011100011111010000110111110101011110101100011110011101