100000 1 12371
1000101001110010000111110000010101111001011001110011100001000000100100110101100111010000100000100010010101010000001011101010100001100000001000110011000000000001000000000010011000001001000111000001000100000100000000000001110100000000000110000001010101011100110000100100100011101110000010010000000100001110000000001010001001111000100000010000010100111100000000110010110101010000111000010101001000001001000000000101000011000110100000000001010010011010000000001000000000001001000001110000100101100110000001100000100001010110001001000010100101100010000101000001000100000000000000100100000100001000101001100000001101000110100000101110111001110101000101011000100011010011100100001000001101010000010101011010110101100010000100000110100000110111010111101110100100011000011001010010001001000010000001101100110101101000110000011100011011000110100001101010100000100011000110001011010100001001111100010001110000000000000011101000100011001110100110100001000001110000001010101000001110000011110000000011011000000001010000000010101011100000100100001100010001101000010000010100001011110100001110000010110000001001011000111011100011000000100111001000001000001110100101010101011000000000111010001100010100000010001101100001000000001110110111000011010000100000100101001111100111110010100111000001001010100011010001100000100001010101001001000010100101000100000000001101001000000000001100110101010100100110001001010100001001010100100110000001000111110001001000100000001101000100001100000000100101000101010000010010001010000011111100001011001010101101000111010101100011011001011001001001100011000100000110101101110000111000100000100000010010010010110101011001000000000000100111001011010010001000010000110010010000000010000011000010000011010111010010010010111000001100111000000001111001011111001001000100010100101110101100011110001100011010111110101000100000000001100101100001100100100011110011100001011010001010100010111000001010000100000000011010010001001000110110100000010001100001010000110010000111000000001100011010101001111010000001000000000000110010100101000000000100001000001101110001000000100010101001000000001100101000100110000110000011000000101011010010110010001000001011011001011000000010001001010010010010011101000111001110011010000101001111110010101000000001110001110000010100000000000011000010001010010101000011010001000000010111010000010000010100001100010110000110000000110011010000100000000011010010100100100100001010100010100001000110000000000100101011101110110111000010010011010001100010100011100100010001001101000000000010100111000000011001100100001100001100001001000011101001011001000000010100011100010100011110000000010010000001010000000110011010100011100100010001001011010100100011010000010000010000010010111011010110100001000000000011001001000000000100011000000010110001010001000000000010010001111010001001100000000000100100101100100000001010000000110000111000000111010000010001000010001101001010110100101111000010000000100011110000101010101000010000010000000110001000010010001100000011011000010000000110000011000111101001101000000100110101001000001000000010000001001010101000110100000000010000010000010101100001100001110001001101110000100010110010011000100010101000010101101110101100010000100000101110100000011110100000011000111000111000010010001101100010001010010000011000100000110001100010010001000111000000000100100000100010010110111000000101100001010111110110001101001010001111001000111000100001101001000010100110101000010000010000000011000001100000000101100000010100001011000100000000001000010001000100000101001010000000100010000010000100100100000000100000101000001001110100000111101011110101100101101011000100100101001001000101101000100011001100001010110000010010110000011100110011000100010101010000010100100100000010100100001010001010001001100101110000000011000001101011000000000111010100001001110000110001100000101000101101000001000110100110111001010000101111111101000010110000000110100010000001111011011000101010001001101000000010010110000000000010011000111111001000100101010010011000000010101000000010110001100100100101110110010000001000000000000010011000001010010001001101111100000100001110111000100010010000001011100000100000100100000011001001001100101011000000000100001010000110000110010100011001110000000000011000100100011001011011001001110010001011101110001000111101011000101000100010101100100000110001110000001101110001010011000010000000100010000000010000000100100000010000100110010010101011001101000110000000100000000000100110010000010110011111110001010001011010000000000010011111101100010001011001111000000101000111000011000010101001000000111111001101000000000000000000001010001000100000001010100100000000000111001011000000101010000101100111000111100000001111110011110000110000111110010000101000000001100110110010010000000010000001000110011000010001011100000001010001010011000000100010001011001001001000110110010011000101001011110000001000001011000001110101110110100101000100001001101000110010010000000000011101111011110010100000001000010100000000101111110000010010100011001000011011100111010110111010100010011101000001000001001000010001000010000001011000000100000110001101000000000001101001010000000010000100001100100001010111000010001000001011101010100000010110001000000100010000100001110010001110100111000000011000111110001100101000100001000010000000001100000101010000000010000110001000000011000001010010110100101110011100101000100001000011010101100101000000100110100111011110011000000000100001001000001001011010000000010000001100111001011000000101011001100111100100100000111000000010100100001000110000101011001001100011101010001000000001000010001000010100000011000001000000010101010011001111110101000101000000000001000000100010001110001000110000010000010110000100000100000010001010011101100010010000000010000100000101000100011001000001101011010000111000001011100100101010010010000001100100010100010011001100010110010000000000100101000100000101101110011010010101001001101010110010110001101000101101010100110001100000010001000000100110010101001010000100010000000100010111000001000001001000000000001000001011000000110011000001100001101000101000000001100110100111001001011000100000000010011010011000010000100100110111110100100010000100100100110011000000110100000000000000100000001100001101011010000000010010010000001011010110100001001000001111100010010010001000010000100100110001110010111101011100000101001111000100010100001000000110110000111110100100100110100000001100011100110110001110110111011000010000100111000110010000100001110000001000010001000010000110111000000000100000111101110101000100100000011001000000000000010100001010000101110001100010000010011000000011000000111011110010000011011100010011100001000000100101011010001000000101001000100000110000100101101010000000000001111011011100000000000000010100001000010100000100001111110000011010000111000111001011100000101100000000001000111110001110100001000010100101000100010000010110100001000010100011100001000010001100000000000111111001111000010001000000110100001110010101101000010001110001000000000000010001110101000110101100110111000110010111011100000100110000001000010011101011001001100110101000011000000011000110110001000001010011100101100011100000000011000001000001010001000000011101000000001001000000101010100010000100011100010111100001000100010000000010100000011000110000101000100000110010100000110101010100000000000001000000000010000100110011001010011100001110110110111000001000000010001000000010000001011100100001111100000000000100100101111000101001001001000001000100000100000000001010000010000000100011001110110100010001000101110100101100000100001000000000110101001011010010111110101000100100100101100000001000100110000001001000010001001001100000010010000000100001000001100100010001110011000110101000010001011100000000100110100011011111111111010001011101000011100010001010100000001110001101011100001110010011000100101101110100000101001100010100000010000001001000011100010100011001111000110100100010010110100100001010100010000010010110001000111101010001110000100100101010000000100001011000100000011100011010001001000101010000010000000100000000001111000000100110100011011001011010010000100010110101110000010010100111001001100100010000111001000100000000110011000100000001000000010010000011101010100101111010000001010011000000011001011001000000001010100011010001001010000010111010100110100100000000011000000101000000001011000101011100010000001000101100000011100000001010000001100011001001000110101000010111011101000001010110100000010011001100010010100101000101000110000010000100101011101011101000000011001110100000010101000000000100001100101100110011100010100111000110101010000000011101100010101000100000011000010000000010001000101000100000101000110011100000100010001100000111010001100111000001110010000000000001001000111111111100010100100000000000011101101100001010001010001000001100000000011001111000010001000001010000100101000010100001000010110010000001100000000100100000001000000000000000100100010010000000101000010000111010011101001011010001000000010100001111001100100001010000100001100011011101100101111001110000000001010010011000000010000001010111001010000000111001010010000010001010100010000001001000101100011010111100100000001111011110010001111110101111000001001001101110000000000001101011000001100011001101101001111000100001000001000000110001010000011010100110110000000100000010110110110000001010000010010000110000101000110100100110010000001000100000110011100001011000100010010010000100000000000000100100000011001001100001100100001011000010001010000011011011100011000110001110001100000100101110010001001011011000000011110001010100101000100000000101000000101001110000000000111000000000011111010000010010010100110001000010101010101110011111011111100110001010000010111100010100010000000100110101110000101100101001010001010001101110000000000011001011100000001000110100110111000000001110000001000000100010000000110011100000011000101001110010000101001011100000000011010011110000001010010001001100010011010000000001100011001001001101000010010111110001100010100000000000001001110111110000010000011101010011000001000000001000110000001100010100001001000000000100110110000110001101100101011010001100101000110010101000001100000000000010000100010110000110100101000001111010011010001011000101000100000010110000100100000101100100001111000011001000011100010100111100100100100000001000000011101000101000010100000000000010000000000011001010001100000100101011011011000100111111110101000100000011010001110101101101110010100000000010100001101010110000010000000110101100000000110000001000101000100010011010001100010000000000000001001010000001100010101100001111000000100000011000010001001101000110000010001110001100100000000000001000010111100000000000110100000100001110000000111010001011111000100000010000101000010000010110100100000100001100010001110000010010101110011111101010010000001000010000000100011100010100000000001100110010000110000110001110001100000000000001100100010000000000110100010100000100101100110000010100000011110001111110001000000000000001110110000100010011000000100001000001101001010001100001001100000001000000101100101000000000010101010000010110000010000011100010111100010101010100000001011001000111100010110001001000001001010001010100000010100011001010011111110001101101001011000100001110100010010101100001001010000100001001010011110000000000000000010000010100101011010100001000000000001010110000001010001110100000001110000011001010100100011011010001001100000101100100010000000010101100000000100010010001100000010000101100000100110010010000010010100000111111100100000000001101100000001000000001101110000000000101100000110010010110010000000011101100000000111110001011000011011000001101101100000001011100101011100001000001110000110000011001101000100011011000011000000100000000110110000101000010111001110010100100001110010000000001001110100011101000101010000101110100110100001000011001110000110011111110110000101000100100010110001001111010000000100001001110000010010100100110011110000111000000100001000100110101100101110001000000101000000000010001101101001001000100110100100010100001100000101110100100000000000000011000100011010111011001001000010010010110110000001111010110011000000100001001101111100000001000010011011110001000100110100010100101111100110000100101001000101000000000001000000001000011001100010000010000000000110000100110011101011000010110100100110001011010000110010000111100101101001010000000001111100001100110010001100100011000110010100001011000100100000001000011001110001000001100110001000000000010001010100111010100010010000010000010100010111010000100010101001001001010001101010010000001110100010101010000010000110101011001000110011001000001000001110010000110100110010110001100000001001100100010010000100100101000111000000000000010011100000010010000010010010110100000000010001000101000000001101100011000000101011000000000001011000100001010001010001111010001000000010110110000110111001000000010000100010100110110100010000101011000101011010000100000000000001000000011010100001000010000010000000101000101001100010011010000100000101100010100000000101110100010011000000001000011001000000001001010000011010000000010100001011000100111001010000010010000000110110001010110100000111000100010001101001010000101000110100110000010011100110001101100000100000010100010000100100001000011111000010000000101001011100010000001000010100010010100000100010000010000001011001111000001010110011110000010001010100000011010000000100101001011101010011010000001000010000101001010101010001110111000000001000001001000110111010010001000110010010101010000001001000101011000010110000100100000000001110000010001010000000000001100101000010000000101100001010011000100100110011010010101100100101100101110100000000001100000110011101010100100100010000010000011110001011000001000101011100101101010001000000000011000000101010000110000000011000110010111000001000100000101010010010111101000001010000001001000000100001001101010000001000010001000010001001000010110111001010000001101100001100001100001000000001000001100000000010110001010111001101010000010010100000110000010000001100111111110010001010101010011000000000000101110110000100000110101000000000100111100001100110001011110010000010000111100011000100001011000100000100001000100110100011001100010011000000111100100100010110000000000000000011000001111101010000001010010000011000000101000000010011100101000010010000011010000100101010111110110000010000000000000100110000110000010010010100100010010010001000101000000100010101110010000001000101101010000010100011011000011010111010010001110100110001101100100000110100000100100000100100100000001010101010110001000100100000100010000100010000110010001100100101000000000100100000111100101001100110100010111001111011010110101000100010111000101000100000000010101000000000011011000011011001010000101001001110000010000110001110000111100000000001100000111010001011011100100001000000111000011100100111010001110000000110010001100000101001000010011000101000100001100100100101000000001000011100111010011000000110110000001000001000100100000111000001011100100010111100001000101100000110001011001000010000100101000010001100000001100001000000100010000001000110011001100001001100000001000010111100100001110011100101110110100010101000011000101100001110100001000110010000011010000110000010000011000001001010001011100000000011010000010001000101010000001000101000010110000000001001010110001100000000000100000000001100001101000100010001010101001000010000010110110000010100000000111101110000000011001000010011000000001000010000001010100000010000110010010001001010000011010001000010100110100110111010001010110100000100010010101110001000111110010101010000001100001100110010001010000011110010100100010100101010110111101001101111101111000000100101110110101000101000000100001100000101111000000100000010000100010001011010100001010011000011010101011000000000111000111011100000010000010000001010110011000100111000000011000010000011000011001000101011000010001000111000010000101001010001010100100100100000010011000000001000100010010000010100101100000000010100100001000100000011010110011000011011000100111010000010100010000100010000100001011001011000000010100110110011011001100001100110111011010001011001000110110110001010011000100001111011000000001011000000011011011100111000000000001000100000001000000111000101011000100011000100111101000010000100001001111101001101001100010100000010000000000001110100010100110010110000001100000111001100110101000001011110001001001010001111100001000101010001100000100010010100010101000010010000110010110101110100101100111100110011000101110110110000100011001010010000000001010110101011110100000000001110000001010000011000100111000101110000000110000101000001110000001000101110000011011110001101110101101000100100000110000010101000100000000001000001010001100100110111011000101000010010100000000000001011000101001011011100000110000000000001001100110010111000101110110011000001100111110101100110101011010001100101010001101111101110010100001000000110110011001100001111010000110000001001011000110101001000001011010110011111110001111100100100110001100100100001010001011010000010111011100000001100010100000101000100101101011100010100001000000010000001101100110010001110000100101000010010010100000100111011001000110100110000010010000001001000000010010110001111101001101100011100010010000110000000000101010010000000000000001010110101010010110010101001101001101000111001000010100000100001100100010011000100111100000001001100100101111000110001001001101001001110110100000000010100010101110001000010100011100100000010100100011011100110001010110100000100100000100010101000111000011101110100110101000010011010111011000000001010010000000000000100100001110011110100010111000101010101010010100000010100100011100111111100000000000100101000101000110101000101000001001010011100000000100000011001010110110101101101000010100101011100110100100011000000001000100101000100100001000001011010000111101010000010100110000100000000000000000100000010010100111101000011010100001000111100110010110101000011001011001100011111010000010100000010000000110010001111010010110100010111011011100000000100000111110010101000110010010011110000100001010001010010000100011010010001110010010000010001101010000000101001010010000001010000001110001100100110000100001010100001000000011010110001010111011100001000000100000010100100100001101001000001010011010000100000000000011001001001100110000001001010011100010000100000000110000110010010110010101100010000000001000100000101000110000010100000011000011000001001101011001111001000101001110001000000000111001111011001000000000100110110001000000110011000100111101000000001100010100001100000000101001011010000000100100100010010001100001100010010001101011100000010000100101111100000100001010110101001010000110110011001110001101101110001100011011010010111001010000000010101100000001100100000000101100100101000000010010001000110100000000001000001011001100001100000100000000000001011000011000110000000000011001010000010000100011000000000100000000010100010111101110101110110000100000001010111011111000001100010001011000000110000000001001001001010001100100011010000010000101001100001100001000001000010010000000011100100101101111000000011010000010010001000010100100110110010010110010100010000010001100000100101010000100110000111000000000110010110000110110111001001101001000010110001001101011000010001010111110100100100001000111001000011000110000001010001100101010100100010100010010110000000000110000000101010111110111001010000000000000101000001110000101111100001001110110100000000010000101000010000000110011101100000010010000110010000100000000100110000010001100100110100010101010110001011111100010110100011110100100001110010110011101010000010010001100000010001010000010110000101101110000101000100000101000111000110000101000000100100010000000100001101010000111001001010010111001100100100100010000100000011101100100011110010100110000000001001000010000000100000111000110111110000000001010001001000100010000111000001110000011011000100000100100000010000000010000010100001110101100100001100110010100000001010011011101000000100010001111100000100000001000100001110001100110100001010001010010001111100001110010010010010011100000000000100100101010000001100100111001000000110010000000010000000110000001101001000001100111100001001100100101100100010000000001110000011011001010000100101010000010000111000001000001010100010110010011000011000100010100101000000110000011000010110100001000010001101000010000111100101010010010000001000111010010000100100100001000110011011100010001010110010000001001100010001111000110011110000000000010001000001100111011110000000101011000011011000101000010111100000010001001111001001100000100111000000011001001010001100100100000111000000110110100000000000001101100101011000000101010000000101001010011011010000010000000100111111001000000010111010011010110000001100001000011000100100011010111101000100101000001001110010100000101000001011001000110010001000001000010000011001000000010000001000010000001001010010010100001001010000100010000001000101100110000101110000010000010100000010000001101001010110000000011000101010011100111000000011010101001110001110101000011010011010000010001000000000100110011000011001000001001001000100001001101000100010010000101001010110011101000100010000111010100000000010000110010000000010010101011110100001100000100011011110000011001100000010000100000001000100101001101000010101000101100100011100001011100110100011110101100000000000010001000000010100001111000001100101011000001100100110100101111010000100100010000001100011001010001100010000001010000001011000011000000000000101011110010001011000001010001010100011011010100110110110000000001000001100001010010001100000000000100001001001000010011100100010000001000000100010100011000111011000000110001100001000100101100000000100001010101000000001001010110000100100011101110011000000111001100100000110001010010100001000011011110000001011011110110000010100101001100001000000101001000000010010010010000010101010000100000000000000111010101001011000000010110010000010001010011010111110110111000000010000100000001001101100100010000000000011100001000100010010011000000001111000100000110000000100000000000010001000001001000101101100010111111111000000000000000000000000101010010101101010100100101001101000001000000100001010101000001110000000110001100001111000111010101000100010000000010001010010000100010011001001100010010100010011110000100001100000011001011000001000100010010010100000000001010001110100001001111000110100000101000011011111100100010010000001011100000101010101100000010110111010010001000000011010100010010000101000000000001110010000001100000000100100001100000101000010000001100001110100000000000110001101000100000000110100000100000010000000111000001000000011000001100010011100100011010001101000010011011100110111000010000000000100101000000000001110011000000101010111010000000110010101001000011000100000010001001000000101010010001000101001000100001010000010000001000000100100000010000001001000001001100000101101101000101010000101100000110010110001111000110101100100010000000110001100100000001000100010000000011001000101001001000001101101100000000100000010100000110100000101100011000000000011010011100100011000000110101001100100000000001101010000001011000000101110100001001000010000101100101000000000010001001110001010000000100100011010101010000100000011010000110000011001000011000010001001111000101100010001010000001100100101100001111100100001101000001000101100101010001101100001010110010100011100011001011000101100100110011111000110110000001100101100001010010110000100100001000011100101000101100101010101111000001111110110011000100001100000101010000001101100010001101000101101111000000000011010010100100000000000100000001011000101100011101010001000000000011110000001111011001101000100011001010000101011001010110001001010110000001101001101000101100110010001100010111000010001000001010100001010100000100111001010000100001000100100010110100000000100011111001000101000100010010000111000010011010000000010111001001100010001100110101000110000100000101011100010000101111000000000000001100000000011010000000101001001000001000110111000010111010010100010000100100101100100011000100100111000010000000010100100011110000011010111010000101010110011001001100000001000110000000100001010000000111000110100101011101001000000000100000100001100100000001111100001000111000001100000101000001010000010010010111000100000100100010100000001010100011001001010011101100001101000001110010000101011101000101001011011011010110010110001010100001010000010000000100000111100101110001000100000001000011110100001000111100011100000110010110010001001111001001001010000011100000000000010100000000010001010010000000000110000100000001001100010111011001000000011000000101100110000001001010110000100100000101010011010010110010011001110011010010101010000000000000001100000001000001101011001110000110000000001000010100001001000100110111100001100000101000101010110001010100100010100110100100000000000000000111101000010010010000100110110001010000001000000011001000001010001110010000001011100111000000000100000000000000100001011000000001011000001101000010011010101000000111100100000000010010101100000000010000010010111000011010001010000110101101010000001001110000100100000010011001101000010000000000010101100000100101010001001101101110100111001101000001010010010101100100011000100010000100000101000100000010010010000010100010001110101001000110011100000000101111010001000011101000010000000011010110101000110010101010001010010101110001100110001000000000001011000000010110001001000001101010010001100000110011000100001010011000011010001000001000111100110111001000111101011100111010111000010000000001011000101000100001001001000001001011001001000010000111101111001000100000001100001100001010110010100100101000011011000010100010000000100100101110011100100101010000001001010101010111100101010111100000000000000000100010100011001001101001110100011100011011010011010010001100000000001010000000110000001000000100001000010001011000110001010010100101101000000011000101000100001100100010000011000000100101000000010111100001000011001100101001000100010100110101001101010000110111010101011100101001000111000011100000000100000011001000000101010100011000011110111000100011100100100001001000100100010011001001000010100100100100110100001100010110000110101000110110100101111001000000000001000000000110100001001000001011011100110010100100000110001100000010110010010001100100000001000100110000000010010100010001011001000001001011100001000001001000001110010000000010111100000001000111110011011001000110101000000011010101100000010101000001000010010111110001001100010010010100011001000011000000000010000001001000110000101010000000000111010000000000100100001010000010100000100011100000101111100010000000000100000100010011110010100000100000000010100000010001000010001100100000000000101101000000010001001111001110000000101010100000000111000001010010000000110011010010010000111010101100001001011011000000000000011100110100011000110100000110000110010100001001000110000101000110100101101110010111101001001100010100000111000110100000011010001001101011001000101000100000010101101100000010000110000011001111010110001000000000010100000010010100001011001010100011011010001011001010011000000000011101001101000011000010001000000110110001111011010010000010010000101001101000011001000000010000000000001000000000000101100011010010000011100010000110110100001000100101100010100011000001100001110000101011100000010000000110010100101100100100010000011001000001100001000010010101010110000111001000000001100011001000001001010001010000000100100001110011100100011010010010000000100110000001011001110110000000010101001100011010011010000011100000010001010100100000001001000000010100111100000000000001000000110000001010001001010101111111010101010010000000110100100001100000101111000011000000101010001010111110011001001010101010011101010000000111010000000011111000000001000011100010100001010000110111010100000001010000001110010011000100000010001110000000110100010011010110111000110011000000100010100001101000010001100001011100100100011101010100011101110010010000100000001100001010000000110010000000000000011101010011000001000000010101011101110100011001111000100111001011000110111010000001001010000010000100000000000111001001110000000000000010000100010010001000001010110000010000011000000000100001111010010010001001010010100001001010100000100100010001001001110101001110000000100100111000110011000001101100000000001010001000100001110000000010010001111011010001111000011001000000010001000100000000001001001001010001110001001100011001100101000001010000011111111110001011010100010000000000010000101000000010110010000010010101100001100100110101111111010010110000100011000101010011100000000001100011011000100010101100000111000011100100000000000110001010000010000100110010111011101101111011000000011001101101000000000000000000110000000111100100011111001001000001101000000010010001000000000100000001001100000001000011011010000000000100001010101101100001000100100100100101001011011000101101000100001010010000100000010010101001001010000010111111100001011011100110100000000010100000000110001000111000001001101010101100001101001010001001000011000000110011010100010011100110011000100100000001001001001110001101010110000101100001100011011000011000000000100100000000000010000000101000100000010010000111001000000011010000100000010001000010000010000001101100100010100001111001010001100000001000101000000010011010011101010000000011000001110100001100001000100000000000000000000100000000000000010100001011111010100100000000101000010001000011010111110001010000000111111010100100001001100000001101000000010101101111001010100000001000100011000000100100110010011000000001000010110000000000100011000001000010110011100100100001000000000001110110000000010010000001000011010101101100100001001000000101000101100100011000000110000000101001101000100100101001010000100010111000101101010001000000011000010100110000010100110000110000101111001000000000100000111110010100000011111011000000000100001111100001000000110000110011000000000100001001011100000001101000000011001001010000110110110010011000100101000110110100000101100010000100000100000010000100000000011000000100001001101001001000011110011101001011111101010011111001000010011010000100000010000100010000000011000000100100010101000101000011001010011000010011000010010110100111000010000110000101001000010000000101101110000111001110000010001001000110000110111110001000001000000000010110101101000010000010111000000000010100111000011010001100001000010000011011001000000110000000010000010001000000100000001011111000000010000010100000010010010100001100100001000001110001010000001000011001000010000110101001011110000110001001000011110000000001101101111001001000100001001111000101000011000001100000101100100110011000001000000000000011100000011011111010010101110000010111000001011010110000001100000011000100001010000000001100000101001100101010100100001100100011100000011000111001010000001000011010011000010001101000001000001000000000000101100110000000011011001001111010011110000101001000001011111000110000110000101001100110011100000000011001110000010101100001000001110101110000001100000000100000000011011001000010010100011010100000000011010000000100000010101001100010100001101100010010100000000000000001101110000000010010100110101101100010001101011100100000100000001010000100111000101000000110110010101100100001000110110010000001101110100010000000001011011000000101100000011001000000111000010101000000110010010000000000000000010100000001010000000101111000001011001100101001110011001000100110001000000011101001101000111000010000100000110000010100000010001001101100100000001111010111100110100100000001110100000010000000000100100000000000011001000100100001100100011101000001000100001000000110010000011010010110010101011001011111110000001001110110010111100000101101100101010001101001000010101001000001111100001000000001100010000110011101110000000100011100101000011001000010000001000001101111001100110010000000010000000001001001110110001001100100101110000100011000011101000000000100110000100011111100011000000000000010100011100110000000101001010000110000001010000010100001110001110000110001000000000010110010101101010001010010011100100110010010100001100000010001111000100100110101010000000000111010101011101010001111100100010010010000000100110000101010000000001100100010011011000000001001000000010011101010001001000010010001011010000110001001111100000001010010010101011101111000000000001011111010010010010100100001000001111000011000101100101001110100100010001100010010011100110010000001000010101110100010010000010110000101011110110001100001001010011110010011110000010010010000000000001100000001000101010100010001100011000110010100001101010101000101100000001010011101010010110000000100110001001000011010000000100100100101010100001100000010110100000100000011001010000010000011010100011001000101110010100100000100000111001100101001000100100000100010101110100000000001100001010000000010001100001010100010010001001001100010000010000010100100001000001101001010010011010101010001010001101001010100110000101100001000001000110100010110010001001010100100000101000010000000011001000110101001000100100001000000001010000001110000110011100010010011101100100000100101000011100011110101110010010010001010110001101101000100010011111001000000100010001001100111100000111011000000011000100010100000000100010000000000001110101100001010011010110000000000101010001000011000110000011001000000100011000000011110011110011001001001001000100000001001010000000101000101011001100011010100010000000001100100110000111101100010101100001010000000100001010001001100000000010000101000010000000010000000000110010100000010000000010101010010101000001011001000111001110000001010010111001010100010100001000001100011001100001001010101100000000110000001110000100111100001001001100010001001010000001110010011101111100000101101001010001000111010010110010010101001010000011110001001000100001111001100100000000111100101001010000000111010001010010010000000001000111111011011001110000001100000000010011001101011001100000001100000010000111110011100010011110010000010010001111000100110000000000000010100011001000010000100001100101000100111001100001010000101010010001000111010010000100010000100001100001001110100001111111000100111010011000000101000000101010000000010000001000000000100100001100111010011000101100000100010101001000001000011000110101000101000110001111010110100101000001000100100000100101010010100000000110001010011001011100000100001001010101001001010010000011110100100000001101011011000010011110111010000000011000000000011000100000000101010101011001001000110000110001001001010100010100110001110011000000111101101010011001111010010100000111101100011101100011000001110001000000010000100000111100000010010101000001001100001000011100001011010100011001001110101100100001001001000100000001010000011001110001111111111010010010010010001101010100001000001010000001011110101000001101110110101000100010011101010001010000000001100000000011010100001000101010100101010000100011000010000101101101101100100011100000100110011101110110101100000000000001100000000000100010000110000011000000001000000111111010000001011110010010000111001001100000001000001011000000000001100010100101000000111100000110010110000000110000110001010101011010000111010011000001000110101000110010011100011100011010000100010011101010010101001100001101000100011010011000000100010100100100010010101001110011000011000000000000001011000001010000010001101001110000010100100010001011001111111000010110110101010101001010001010101100100000000000010111100010000001000010000000101101101100101110000110000010001000011011000001100000010000001111100010000101011010000010000000101000100101001001010000001000100000010010100000100010010000110001010000001110001101000100011100001010100101000100100100100000001001001011000000101000000000100000010001000010111000010000100000011000110001100111011000100100100101110011000001001100101110010010100001010001110100000001000001101001001100000000000010011111011100101001111001000001000010010001001000000100100100000010000000010110111010110000011000100000101101000000011000000000101000010001011010110100000100000000010001010100010011001000010000110100110101001100010011010001001000010000001110000010000100111001100111011000011000001100000110000101111010100100000100001001010110010100000110001100000010010001000000000100000000010001000001110111100000000101010100001111110000011000100111010001001010000101100101001000000000111010110000111100000000010000100001000111101100011010110100010011000101000000011111001001001011000001000101101010101100100010001000100000100100110011100001110011111011001000001011010100110110110000001000010010100010100110100000100001111110100011011010100001101101110110010000101010010010010110001000110010100100000111101100010001010010000010000110001100000010110001001000000000101001110000010010100011110101011100000000111010000010001110000010100011000010001110000001101000011100100000001000000001000010000001111111000001010100000111000000011010001111001001000001101000010010001100010000100000010010000100000001000000000100000000100100000000000000000010101011010001000100001101010010000011000101000001000100100011000001001110001110001100101111000100100000100000001011001001001000010001100001001000110001010000000101001101001001100000010100000011010011000011100001001000010000010110011011110001001010000000111010101110000011110011100100011101010000100000111100000110000100001011111111010100100000001001010001100000000010010100100000011101001100010010000110100100000101101001100010100011011000000001100100110000010000100001100001011000010001000110010010000000000000100010101000010001010010000101100000010000010110001010101001001010110101000100011000000001011110000100011000100010100011100000111010011110000001001000000000010100000110010111000001100010000111000100010100111010000001000000110001001010110000010001100011100011100000001100100101101000110110101001000101101100100001101010100000000100011100000001001100100000011100000110000100010000001000000000100101000010101100000001010011000000101000010100000000100011110000011011001000100011000100100000000000000001000000010001011001101110001100000010101000000000010011101000011101010001011000110100101010100010001000100010011000000001000000000000010000000001001110100001001000001001010010111001001010101100000100001101110001000000000110011110110100010010010100001000100000000011100100000001010000001001010001100010010001010001100000000001101100000100001000000001110000001000000001000100000010100000100000000001011000011000010010001010101001000010000001101000100101001000000001000010100010001000001000010110000101010101010011100000000010000000000001010100100101100100001100001000110001001101000010101110001110010110110100001000011110100100110101011010010100000100100010001000100010000011011011101010000001010000010010000000001000111101101101110100011000001000010000011001110010001000010101010010101000001001010100100001110000101000010100001000000100011010001001011010110001000111001011010001011100110000011001010010000000110101000011110100000111001001010000010011001000110100001100001000110011011000010110000100100001000001000101100010001010100000001000100101011010101110100101000101000110110010000100100100010010001010100101000001010000110000010001000010000100001000101001010100101001100101001110000010101001100110000101110011000010010000001100000000000101111001001110101010100000000011110000110000110001100010111001010011000010000100010100100000100000011000100001111010000100100010101001010000001101111010000011000000000100110111100000100011000101100001000010100010000000110010001001010111000000111101100000010110000101111100101000100011001000110100000000001010001000000001110100011100100101011011001000000001000000000000001001000010000001011001000000001110000011010100001110001000000111100101100100001001010000101000000000100000001000010001000100001110000000101001000000111011000100110001011000001001000010111000000000100000000100000110010011001000100010000000001000001011000110100000011000001100000001101110000000011000100101101000001100000001010101001111101000111110011101000001000100101001000001101100010110000000110001011111100001100110001000000000111000110110110000001111000000010001100000110011011110000000001001000010101100000000100010010111000001110000000000001001000010010110000000100100011110010000111000110000001000001011000001000000110001001000000010110000101001101110000000100101011001101001010000100111001000100100001101000111110011001100000101000000011011000000110000100101000000001000000100010000010001011100010100100100010011000010111000000110010100000000000100010011001001100010100000011000000001001010001100000000001000000111101010110010010001000100000100010100000101000010010001000000100000100111000011010001001001001111100001010001100100000000000001000100000000100001000110100101001000101110101010011001001001000011000011100110000101011011000000100001000111110110010000010001100110101100001000000000100000011010101010100000011001000001000000000000000010000000000000011010110000001001100011010001011000101011101000001000000100000111011001010001010000100100100001110001010001000110000101101001010111100001011110000110110010101001000100001100000110010011000001001100000111001010001001001000100000001100000001001101000100000101010000000000000100101001001010010000010100101000011001001000000000010010011000011111000010000110001100100000000000001100010100011110001010011001100000110111110110000011010110011100010111011000100101001110110000100000011100100010000000101001000010101000101010111100010000001100000110000000100110010110000001000000100000100000000000111001010000001100000000011110001110001101100001010100000011000100001001100100100000000100101011010000100000001100001000001000010010000000000010000100011100100000001000101000010010010000000001001000011001100000001001010100001111011100000010010001101001000000001101010010100101000110011000001111101000010000110010001101001010000100000010111010000010111111000011010101110000100100000000101011110010000110111100010010100000000001010000100111001000000000011010100101000010000110010110000001101000001010011000000000010000100010100000001110000000010110010111111110000001010100000011110010000001000100000010100001010100000000000010001011011000010110000010000101011001000001110100001001000101010100101110001011000001010001000000001001001000110001011011010001111000010110100011100101001100100001000000110110101001100001100000000001001000000100000011101001001000111100000100110100110000101010101000000000001101000000000010001100010011110000100110001100100010001000001000000000001011010110110000000100010101100000100110100011100100001110001001000100011000001101010000010010100001010010001000000000010000100111010001001001010100110000010110100001111001000110001000011011111000000011011010001110000100110011101100100011011001011100110010101010110100000000010000010010001000101001010001110001010000000000110011010110000111011000101100000001010000100000010100001011000000000010000100000111010001000001110100101101100110011010100110010001001000010010101010110000000010001010101101111101010001010001010011100100101010010101000010010001001100000101000010010000000010000010000000010000100101110100010000100100000000101111011000000010010101011000100100011010010011100100000100001001000111100010110000000001000000000000000100000011010000000000001000001000001000111010100010100101111001100101100001010001000111101010000000010000000001100000110000010100001001000101010100100000000001011000000010100010000000000011101000001000010010010000110110101011101110011001101010000011101001100010010010101100111111011100000010000100000110101011100000100011001011100110011110010110010110001000101100000110000000101010000000011111100000001001100100000000101101110000101100100010100110110010100010001010010100010001000000010000011111110100100100010001110010001010101111000011000101101001010101111100110000000000011100101000000101001101110010100010000111000000100010000111001110101000000000101101001010110011100000010101110001111110010010001000001001011011001101000110001000101111100010101110100010001100000001000011100001100110100010001010100100010000101101000001001000000000000100101100000111010100000100000101101000010100011011000001011000010000010000110011010000001100100010000111000011001010100001110010000011101100000000010100100101110110010110011001000100000011001001010010110011000100010000000010000000000111000000000100001000001110000000100000101101100010001101100100010101000101010000111000000010000000001100111010010101000000010101000001000001100010101100001110100100000011000111101100010100100000101000010000000001001100100111000001100001010100000111011000010100000110100001000100101000000000101000010100101101110000000000001101101010011001000000100000000100001010111010100010111010010000001100010001010100111000000100100100000100010100011000001011000011001011100101000101101000000000101001010010101001011101100110101000000000000000001101101111110000100100001000000011111000000010000100101100110001000000110000001100100010100111000000100010000000010110000010011100000111000000000010011010111000110011001111010011000101111100000111100000100010011000000100001100000110110010100001101010010101001001000100000000100101010111110111001000111100010001110101111100000001001110000000000010000001100000100100001110000101011001000000001000101100100100011000100000000011000100000110000100000001100010001000011001000011000000000111010000001110100000000110100001010000001000000110010100101110000110110010011000010100010010100110000010101011001010000001100000001001010001011100010000110110001101011000100001000000110101110100000011010000000011110010001100010000011000100001101100000100000010001110011110101010000000000110010010000000010001000010001000000000110000110100000110010000000100100010011000000000000000000000000110010011000110011100110100111111000001000010000100001000000101101000101011010000100101010000011100011000001110010010000010001011010000110101001011001011001000110011000000011000010000000010011100101000010011010101110100010100010001100000100100011001011000010010000010000010000001001001010001010100001010010110000100000001101010000000010110111010100000010010011110011010100000111010111000010010100001011111101010100100100110000001111100000001000000001010111010010010001000011111010010000000001001001010000000111110001001001001101011001010100001000101000010011001110111000011001001000010011001110111011010110000000100100000000001001000000110000100110010000010100000000001000000110101110001000110010001000001001001000001010111010001010110001000101011100001000000001010100000000011010000011000000000000101000111100001010010010000110011000100100101100000100000000010000010000000010010011010001101100110100100101101110001000010100011001100010000100010011000000001000000001001001000001111100010000011000010001010101001011000010110000000000010001000010101000010000100010100000100000010011000100000011101100110110010011000000100101000001001001000011010011010010100000100000110000100001100100000110000100111110111000100010010000100101101000100000000110000001101110001001001000000000110001111010000110011101101110000001000011000000000011000011110100000000001110011010100001101001000000100110000000110000110101110000010101010011100001000010111101100101011011001100001001000000101011111010000110000010000010000010000001110010111000001110000010101110011000000100011111000010001010000011000010010001001000100100101101001101100000010110101011010100011010001100101100100011000100100101111101010000010000000000010000101001011000010001000010101010000110001011000000000011100001000000001010100100000010110001111000001000111000001011001000000001001110101100010101010000000010010000100000010000000000000010000001000000001000011111001100010000000101101101011101000000010111000011010100000011000000000000000100110001000101100100011000000100111100111000000010001000100101011101011100101000010100010101100010000001000000011110100010011100001010000010100100001101001000100010010111101011110111010000100010010100000011000100100000001000100001000110000100101011100100011000000110011000100000001000011100000100000010001001011001010000001000100010001000000100000011111000010011100100101110010100000010010100110000101010000000101100000100010011100111000010010000101001010100000010110000110110101001000001001001000001010100000001101000011100001100000100001000101011001000110000110101011000011100101001001010010011100100011000010010011011010100000100001010000010110000001000111010000000010001011011000010101001010001000111001011011011100110001101001101100000001010000011100010100000001011111000011010100100011000010000110010000000110101000100101000100100010110000001100000000011000100000000010110100110100111011010000000001100000000101000000010001001101001000011010101010100000000110000001101000000010011010011100001101101000000000010111111110010001100001101000000000101010001011101101000100000001000111000000000001001001010001011100101100010011000101101100010001010000010001100111000000001010101010001100101010011010000001000000111100101100001000000001110000100100011000110101100010000010000111000111000110100001000000100100000001001000001110001000000000010101000000110010001100100110000000010000011101011001011000110000000101001001000100101101010000001010001011001011000110000000000001000000000010000111000011100101000011110000010010000011001000111110100001101001011000000101011100001000001011001010000110111101000011101000000000000001000000110111111100111110000001010100000010010010110010000010000000001000011111100000010001010010010100000110011000000001000000000010110000101111100010110000011011000000000001000110001010000000010000010100000100000000001000101000101100001110101011001010001000101010000110110111100000000011001010000000101001010111000010111100000010000101010001110010100000100010101000010000000001000001110101111010011000000000001100010000100000000011000110000100001001101011001010000001001111001000100010010000010100101100011100010010010001000010010111010100010010111000001000010000001000000001101000100100010001001000001011001001000000100101100001000000100010100010100100010100000001000000000110010110110000000000000000101100011010000110000100110101000100001000000010011001100001100000101101010101010000010000100000011010100010000010000100110011011000100000000100000111001110000011110000100000100000000000001000010100011000110101001000100010000000000000000001000010100011010001111101000100000001101100001101101101000000000111100010000001010111000001110111000100110111000110011010111010000000101011100010100010101010010010000010011000000001000001001001000100011111101100001000000011101000101110000000101000100000010000100101000000010010010000111011000001000010100000010100010000000000010011011000010110110111000000000101100000000011100011100001011100001100011100001100001101010100011101110100001001100110100000001100001010000010011000000010110110010001001001000101000011000100101010110100111100110000100100000010000011001001000110110110001101010010001000101011101110100110100101000001000000000110100010000001000001010000000010001000000000001000000100110000000011100000110011010010100001000001000000000110111100010000110001001101000001000100001010001001000001000000111110101010010101001100111100010001101000100011000100000000001000000100001000000011010101010000000001100001111000110000000101001011001000010000000000111001011111011000001110101001000000010110001011100100011100100100000000110000100101101000110010001010000001111000010110010100000101000000101001010001100001110100000110000010000000001010100000110001000001001001101000000010110100011110001010010110001001011011000000100010010000000000101100110000100110000000010011011000100000101000010000001000010100000000000010100010000010110100000100010010000100101111000010010001000100001001101010101110110001110101011101101000011010000101000111111000000010010111100110010110000000001001001111100101100000100101110000110100000001010001000100000110001000011010010000101001110100000100100010000010010100010010111010000010110010111000010010000010000000101101010000011000010011001010000010010011000010010010100010001100111100000101010000010000100010010010010100100100001010000000100000001010111001000001000000010011111010001101000111010110010001000001010110001000000000000100000000000000000110010001010001100000000100011000101100001101100101000010010100101100001101000000100101000101101111100100001101001001000101001100000001001100110001000001001110011100010001000000110000010101011100100001110010010011010000001001001101001100100011110100010000110110101000010100000000110011110101000110000011000001000001000011100000010110011101100010000000100001000000110010100000010011101111001101100010001001001001101101000100000011000010011100001000001011000100000000010100001001000010011000000111100011001000010010001000001000011000001011001101011110000011000010100000100100010000101010101100100100000000010001010100001001011001000011110110000000010110110000001000010001000001000000001001000000100010100001010111010000101100111000000000100100010010101010001110110000001111011000000001000000011000101011001000100000011101000011001111000101001010011000100110100000000001111001100010000100001000100001000000000111100101100010110100100101101000100001000000010100000110001111010010010010001000010000000000110011001101010100001001101000000100010011000010000000011010101001001000000000011001001001110000000111000000010101111010110010101100000000000000010111000000000000110000101000000100000000100011000100100000011010010001011000000001101011001110000000001100000000001111000011101110000001011110000101110000001010000010011101110100001001101000110010011101100001100110010100101000001100110000110110000010011010001001100001010110100001110001001010101010011000010101001111100100100110000000000111001010110010110101100010010110100011000000001010010110001101101110000000001000010000001000100010110100110000011100010110100010000110100000000011010000001000101000001111101010001000010010001001000100010011000011001101111100010000001001000110110000000010001011000100010001101011000001000000100100100101101100100001101110011001011000001110100000110001010110010100000100010000000011000000100000000100000101001010110011010100000100010101111011001000001000001010010001101101010001000101011000000110101000000001000000101000000000010010001000000110010101000001000001010110000110011010000010001100101000100001000110010110000001110000000100110000000001100000010010010000100000100010001100100010000011011000000010000001000000001010101010000010100000010010000100011000000010001011001110001101101010010010011110011001001100100101001001100011000000110011010000000001010010011000000001000000011101000010000000011010100000000110101001010100001011000001001000101010010100100000100011100101100010010100001001100001000011010000010001000000000100011001001110001000000000100101000000000001000110000100000011000011000101000000000110010010100010001000010000010000111001110001000100001001110010101001000000000000100000011001010001011010010111000010010000010000010010000110000010001010010111100110001101001100111110101100001000000101000000000000000111110100010011000001110000011010111000001000001001001100000000011111000001001100010001110110111111110000111001000010110100000000011101101000100000110100011010111000100100010001101000110100000101000001100000000000000000010000010100000010010010100100010110001100000001000100011000100011010001101110111110101100010110111000111011000110100000000101001110100110110000110000001000011000111010011100110000011000001011010101001111010001110100000000100111010000000001000000011101000110010100000001100000001000000000100111000011000001000010000010111010010000001101001000000110000100000100011000010001100101010010111001011010101000100001111010000010110001100001000001000110001110011100010100101010101101101001100000100100000010000001010101000101010000101100100000010000001011010100000110101000011101110000000101111100101110000000111100001011110010001010110010000000110000010101100101001001001000011100100011000110110000000101011001110001000010100000100000001010100001010000101010100010010010001000000010000001100100000010010110100000000100000100000100111000101010000001101110010001010110111100110000000010010001000100001111001110000000001111100001011100000000001010100100100011001011001110010100001101000101001100011011010000010011011000101100010011010111001000011110011010100001000001000000010000011010001000010000000110011001011000000000010000000010000011001111100111100010100011011101010001101011101111000000001110100001000101010000100001111000011110110011000100011000011100000111000011000000000001011000010001011011101010001000000100100000001011111001000011001111011000001001000000000010001000110000000110111000010001010100000010001000100001110100000100010010101000000010001000000000100001101010010100111000000000000000100110000001000000010010110001011111011011100011101010000010101100000001001000011101010000110000110000010010001001100001000101100100110000000000000100000010000101110000110100000001101110110101001000000000110010010010110000011000110110111010000011100100100110100001110000110000001000100100001011001000110100010100101110000011001001011100010010110010000000100100110001000011000111001001011000000000000000110000010100010001001001000100101100000010010000100001001010000111111000001010010010101010010000011101011000010010001011001101010010000000111010001011101001000000001001000010100001000100001101011011001010011010100100111000000010000110100001010010010001000100100000110100000100000000000000010011000111101111100000001010010000011000000010000100000001000010000001111100010111000110100011000000000000101001010100101100110100011110011001001111001011010110001000100011001001100100001000010111100111100100000110100010100000001010001000100001000001000000101100010100011010011001000011100000110100000000011101100000110001100100010000000010001010010001000010000000000000011110001000000001100000100000101000100010001000000001100000000000011010110000110100110000001110010011000111000001100011000000000111100000101011111000000001011001011001111000000101010000111000010001000000011000001010000111010000100000000101000001001000111100010000100000001100100010101100010100000000010000000001001011100000111010000100000100100010010001100000010010000000010011000100101010000100110100000001000011010000110111001010101011111100000001001000011100100110000110101101010101101100000000101000000101110000000001100110010001010010000010001100000011011110001011111111001000001100001001010011100010000000001101000011010000000110000011001011000000101100000000011000011001101000011101000101110011001110000110000101100010000010000010101001101100010010110000001101011110100110000011000000000110101101000100110110000110000000100110011110000011111001000100100110010100100000000111100000101110010000011000110000001000010011010100010000000010000000101000011011100000010001010100101010110101100000110001100100101000100001111000010001010011010001010000000010000101000001110010110110010001010000101100000000011000101000000000001000100100000000010100001000000100110000011101110000001010000001110010000110101000001001000101000001010000100110000110111011110000000001100000000001100110100011010010011000010000001000110110100000001010000001001011000101010001010001001000001000011110000000100010001110000010010100010010000000010010000010001100010010001010011010001100100110011000010000100101000001010010010011100110000010011101001010001001101011100010010100000000001000001110001000100000010010000110101100000110010001110010001000011010001101000010110001100101011000000100000110011011100100101010100100001101000001010011000010000000010101011001000001001011100000010101100100000000011110101100000000010000100010001101000001000110011110011011000100001000011010000000000110001001100111001011010001001000001110111011011000000100001100000001011000100101011100111011001001000011000011000000001110001010110000011111001010000001100000000001000000110100101000110011000001111011000000010100100000000001100011100100000111000001001111110001010000001000010101101000100100000110010000000100001010110001100100100100011000000000100101000000000010010010001000000011011100100001000000110011000001000010110101001001000000000110001001100000010100100000010000100101000010011101000101110101110000110000100000101000100010110000100111100010000000010100011111001000000000100001000001000011100010001000001000000000000000100101001111011010000100010001011000000010000100100000000010010101100111110100100011101111011111001100010000100111010000001100011000100111010010001001000000000000100000100100001100010100010010000101000101001001100000001001100000100000001011000000011010010100001001000100101011000001000100000001011001110010001000110011000000000100001000010001000011001010001101000011000110100000010001110011010000001000000100010000011000000101010001100000001001000101110110000001000000101000000000010011000101010010001110101000000010110000000100001000010000110100100000000100010000101000001010100101001100100111101010001000110011111000000000000000001110100100101000000000000000101100110101000000000111001001000100110000010010000100000010101001110000000100111001100001100000100000100001010010001101011001101001010000110000100011000000010000000000000000110001001100101010111000000001000101110010110000001001111110000010000010111110100101010001001000000111000000101000100100100111000100000001001110111011000011010000111000001011001011000000000000100100011100110101001000000001001100000100001110011010010000000001001001001001010100010001101010110110010011000001110110000001000001110010000100010011000110001101001000111111001010000010001100110000010001000110010101000000110001100111001000000010000011000101000001101000000101000010110000010000010100000001000000011001000011100000000000011101101001111000001010000010100010010010101001000000000000011001000000100111001101011000101010000011100001010010111010101101010000000101000100100100000110100110000010010010100000111111110000001001101011100000111011010100000001000100101000001000010110001000000000000000000001001010100000010110100010001010011101001010010001000001100100100011000000000001000000001011111100000010000000000000000011001110100111000000000010100101010000000111010010000110001011110000000111000000100000100110100011100001000111000001101010000100001100000111111000010000001100000110101000110001000000101100100010010010000001100010001011101000001010010000000100000010000101100011001000111111000100000011001011000000010011100000000000000000000000001100000000000000100111100110000010011111001110000000001100000000010001111100010010001000010001010001011000000000000010000000010011010010001000001000110100010101000000111000001110000011101110000100010000010111001010010101010101000000010010110011110010010000001000110000011000000101000001111000100001111000001001001010010000000101001010000010000001100100000000011100110000101100010100111111100001000011010000011000001000010010110001000000001000100000000000110000001011010100000001000000000011010110001111000001000100100000101000100000001010001101000010001000010110001110100000000000011010000110100000011001100110101010101000000000000000101010100000100000011101100010100010101000001101010011100011000110110000000100001101000000101001001100000100011011001101110000110000010000000010100100000000000001010100001010110000000000000100111101010101011100001010000110010001000001000000010001000000100001111001101001010001000001000010011000001010101100000000001100100110000001010100010010000110001001101000111110010100101110110000101010001100001110000000000010000110011100000100101000011000000001101001000011001000000000010001111000000110101001011000000000001010000010010110110100100010000101001000000100000000010010100001010001001001000100111001000010101110100110010110111011110100010001110100100101111001100010110110000000111001010100000111001011101000001001000110100001100100000101010010000000110101100001111011011100100010000000100111001001010000110001000000110000100000100000000011100111100100011010011000001100100010010100101010110000001110101100000101001001000000100010000110001001010110111110100000100110011100000101101100000100010110010010100110001000000001101000001010000011000010000010100000100100011000111000000000111001110100101010000000101001001000000000100011011001000100100110000010110001010011001000001011010001011000000000001000111110001000010000010101000100011000010110001000001000010110101100001110010100010111000000001110110100100100001000001100000100001010001000010000000010100001011000000101001000011100110111101000000001110010001101100000001100100000001000000100111000001000111000001001110000111010101000000010010010000000100001100110010001000001101001010001001010010100110001000001100010010000001000010111000011010000000100111111000111000001110100011100000111001001010010001000010000000100001000011000001010000100000001000110011110000000010000000001100011100011000000100100000000000100110010101001000001010000010011101100111101100110111000000100010010001011010101010010111110100000010010000001111010100000000000010100001001101000100111010110100011100010101000010100011000010100000010010011001001001000111101101100000100001000011100100000101000110011101000100000010010000001100011011101001101010100000101000001100010000111001000101101000000000000001000100011001000000110010010100000111001100001011001100110000010000000101010000011000001111100011000100110111000001100010000000001000010011010010010100000011001100010110000011000010000000000111100000000011000010110010000100101000001000001000100000100101100000100000000100100000010000010100000011010100000000110010100000000110100010000110000100010100010101011000101101101100110000101100001000000101111101100000010000010110100010011001000010101000011001000000000100000000000000000010110010100101000001000011011011000001000101000000010000010100010011111001110000011011010010010101010001101011101001001001000011011010100001010000010100010001011010001000100100001001100000000100000011100100111000011001000000110110001111011001001000100010101110000001100101000010001001000111101100100010010110000000111000000000010110110111001000011110011101000110000010110000100100100001000000010010101001101010110110010000000111100110111000000100001000001000010001000000101000100000011001100110000110101001001100101100011000000000100011010010111010111010001000000110000001101100101000110010100100001100100001010100100000111100110010011001000000101011011000000001010100111101000000010100100000000101000110101100010001011100100001001101000010000000110011101000000000101100100000000110100000100101000000100000001001011001011101111000000000111100001000011010111001000001001111001011011100100010001000110000000010001011100000000100001100001000100001101000001000100100101000001001101001000010100100000101110010010100100001000000000001100000001111001101000000011000011110010000110011010011000011000101000000000010100000001000000010100100010001000010101000001001010000100000000011100001100010100101001100000100100100001011011110100110011100010011000001001000110000000011100001000010001111010100000010101010000000011011000011100101010001000001101001001110000001010110100001100000010000011100011010100001100000100001001000101100010000010000101000100100010010000001011100001001100000000000001101101100110000010011000010001001111001111100000010100100100111000000001011100001100001000101001111110010000000010110100110101011100001110000000000100000000001100111001101000010001011000111001001010101010010111000100010100011000110001001000000011001011011100110101000101111000000101011110000000100000000000011000000000101000010100111000101000100001101000000110000100100000000000010000001010000100110000011100000100000010011110000011001010100010010011001010000010001000001000100101010010100100100010001100010000110101011001111010011110000011100001000011000110001011010010111101111010000000000000001010010010000100111000000011000010000110111010011110010001000001010010001100100100000011111000100100001100101110100010011011010000010000011010010000000101001000110000000000000011100000010001011000010000001001011000000101000010001000011010100110011110011110101110000100100010001000100101011000110001001101000110000100000000001001001010110010010111000101100000000000000000110000000001010101000000000000010001000000001111010011101001000101100100100001000111010100001001101101100000101100000110100111101000101001010001001010101000000011100100011000000101110000011101000100000000101101001000011000100101010010011001111110110101000001100000011111010010000000111000000110101001101100000000100001100100101000000000101000001010010001100000100010000010100000110111000111000001001110101010000010100000001000010110000010001000100100000000110010100011010110100111001100100000001011100000100010000010000000100000011000000000001100111010110100001101100000001001111000010010111000001010010010000000000110000010001010110000000001100010110010000000000000001011000000001000101000100000000011101010010100010100001101010011011011010101110000110110010010000000000100000000110000101001100110111110001101101110110110000000100010001100110110000000000000100000001001000001001100001100000001000001000000001010001000100000000000010100110100100101000000100000101011110100000101010000101011011100111001100000000100101110110100011101100001011011001000010001100100000001000010011000001010001000000100000001000111000010001000000001000001100000101100001011101100000010010100000010011000010101111010000000000101001001011100000110100011000000011001010010111001110101000000111011011100001100110011011101001000000101100000000000011010100010110001001001000100001010001000100100010101010010011001101000001100111011010010000110010100000100011000111101100010100110000100010000111000000000100010101000001001101000000000011100010000100001000001001110001001000001100100001000010000000000100101001001000111010011010111000110000001000100111100110010110010011110101110010000001011000111010100110000001111010010011111000010000000110000010111001001110001000001000000110000000111010001000000011001000000001110010010000110100010100000010010010000101011000100111000000101011010011000101001011100000000110101110101110110100111010101011000110100000000010110010000100010001100000101101000110001001000010000001001001100010001000100011010000011100000101000000100100110000110010101100110010010100111110010000001100010100000010110100001100111011100001010110000010011000000000001101001111001000100101100000010010010001000000110011001001010010001010011100100100010011000000101000010000001101100101001011001010110001100110011100000000110100100010010100000010001000100010110010111110110001000110001101111011001000010100000100100000010011000011011000000000010011010010101111000110000001001111101000011000010100011010001000000001000001010000100111101000100010000010011000000100010101010110000001000000110000101100001000100100000110100000000100101010001101001000000010000000000011100100001101100000000100110001100100100000100110100001011100001101000000000110100000010001001010001000001010011101000000000000000011000000001010010000110100001100001000001101100000000010001110110100000110100110100011110001000110101000000100001100100111000001000000101000100100001000100010000001000000000100000010000010100101110011111001100000100000000110010000000001010000010000010110100000000000100000110001000111001100001100000011100010000110010010000000110100011111001000100110000110010000100001001100011100111010011100110100101001000010011010111001010000101100010001101011001101111001100000010010001000101011010000001000001010100011000010110000110000001100010000000101000111100000100000001101000000011100101001001110100100000001100100000001001111110100110101001110111101101111010101001010001010100101100100010110000010011000100000100100000000000000001001000001110010000001001100110010011001010001000000000110101010001101100000011000001111011001101000101011001000100010100011011000001000100001110100010000100001110110100010001110010111011010010000010010010000001011001000100010000001110000000000010001001101001101001111110101000011100000101011010100011000001110110011000011101001001001011010000001000001100100000000000000000100101000100101010011010100010101010110100000000000000000000000000100001011101100001100001110100101000110000010100011101001000000100001001101000101010010000000100000001001011000101001000000001010000000000000011010001100100011001101111100010110011010000001000110000001001011100100010000110010100000000001001000100110001000110011000111000000011000111001000000011011100100100001001000000100010101001100100100001010010000000001000010000101000011001010100101101000011001011110101010001000010101010111000110110001010110011100101010100001101001011010011010011000100000110010000111010001000001001000101011100100001010110010011000110000000000011001011101000001010100011100001000010010010110001000001110010011000100001001001011000010000011000001111100010010100000001100000011100100001000000101111100000010110001000101100011001100100100000011101000000111000000010011110000001000000001110100100000110001000000010010000110011000010000001000001110010000000000000010001011101010101010101010000010111000100000101000001001010010000110000100001010001001101110000010110000001000100100010000010000111110000000000100101010000001000110001100001011000110100001110000010000010100000000000001101001010010000110100001101001110010000110000111110001110010100100110001100001000011110100100100011010111001000000100011000010001100000100000000010110011100100100000000101001010100010101110010100010000100001001100100110000000000000001101011000000000010000101110110000101101011100001110000011000100010101100000000101101010001110101100100110110010000011010100000001000101000101011000001000000000101000001001000100001010111010001010011000111000010111110001000111111011000010010010101000101100110010110000000110010011001110000000100100011000111000000011000001100010100110000011100000100100001000111100000010110100000000110110000110011010010000000101010110000101111001000100000000001100011000000010000000010010100000111000000101011010001110101000110011001000000000110000001110000000000100011001001100000010001000100001010010100110100100010010000010111011101101100001100101101100000010001100001001001101101001100100000110000100001010000011101000010000001001010000000000001100010111100011100010101010000100011100101100000001111000101010010100000010001010001100010000000000100000101010111000000100000101000100110000111010111100001000010101001111000100011001101000010000100100111010001111111000111000000010001000001101000001010111000011000000000111100100000010000010001001101000011001011011010110011001010011100010100000010011000000000000000011010010001000101000000011100001000000100011100101111100000001011000100000000000000110000111110000010001111010100000001000100111000111010000000010000000000111000011101100101000100100000010010001100011000000001000011000001001001000100000100000011110001011101000000111101101110001101110100100111101000010000100100100011000100100011000001000000000100001100101000111000000001100000100100111011000000000001000000010101001110000001100100011010010000001010100100000100111010010100110011001100000110000000000000010111110000100011010001101001010001001000111101010100101010100111010100010000000011101110011101000010010000010000001010000101111011100000010110100010111100101100011010100100110101000101000100110110010101010100100000101000100110010010011010100000010100010000001111001011010011101001110000010000101010000000001100110010000001101101001110010110001101101010111001101000000111001010011101000001001101011110000001000101000110001101001000000000011111000100110000100010110000111010100100011001001001010101001000000100101001000110001100000000000100011110100100100000101010101000000001110011000000001100100001010100010000000100100110001011011000100011101010100011011001110000010000100000011110010101000100100110000011000000010000111101110010000000011010010000010100000001001000000000001000000100101010000101001000101101111000001100000000001101000111100000100100010001100011010001101000010101001000000001000001000101001000011011010001101001000111001000000000010001100000110000011100110100001011010100000101000100010000100101000010101010010101010110000000111001000011100100000000000100000100010001001010100011100000000000000110000100101000011100100000100001000110010000000011100101110001101110011010110010011001001100111000110111111100011101010101011000011111000100010010001110100011000110100000010100000100101011010100100001101001000000110000101000000010010000101011100100101011011101110001011010000101000010110010000000100010011000000011110010000011000110111000111001000010100000000100011001000111011000000010000110000010010000010110001001001101000111011110010000000011001010000001000010010110000010000100000010000001101001000001001110111101010000011110000011000111010101011011000111001000110000000011101010100000100000011000010000001111000000000010010101001010000010110010000010001000001111010010100100100010100100101011000001011010011000100111100110000101000000001010010101000010000001011000001000001110010000101000000100000010010000001101110110111000000010011011000000001100100010011001000110000010000011010010010110011100100010001010000000010111001001100001011101011001010011001100000010001110110110000100000101001100000000001000110011100001000000101010001110101110100010110000010001100100010000110000000001111100000000010100000000000000000011010001100001110100100000000000101011010000111011100000010000001011110010000001100101000100000100100000000000010101000010100001001010101000110000010000110010000100011000111010100000000001100000110000000110101100110111010000000000100010010000010010000001110001001010000010001010010000011001100010010100001010110100110010100011011011011101010110110010010000000000101000001101111010000011000001111000100110100000010010011101001000101110100010110010001000000000000101000000000000000010100001001000100001100010111010001000010000100100000000000011000110011000010000110000100100100100101011000000001100000001110100010001000001001111000001000101000000010101000000100001111001010010111101000010111010010000011010000100100100000000001010110000001011111110010000000010000001010100000110010001100011001100011101000100000011010100011010011000100001000010011011000000100000011000010010000000001001110110010100101110000111010000100000111000001011101100000100110011000011000011001001011011101001111010001001000000101010000001011001010001000001010000001101000110001001000010010000100001000100101000100011000000100000101010100100010101011010000000011000011000010000001000100001000010001110000010110100101011011110101000101000010000001011001000001000100000001000000000101000100111110010100000011001000100011000100000101110100001000100010001010000100001001000000000010100000001100000111110000000000001001000000100001001100101101000010001011000101100011000110000110111010110010001100100110000000101110000100000000011010000000010100000001001101000110000001010000001000011010110100101111011110000010000001100111100000111000100011101000100100010010000110010111101001100110000001100000110000111000110000100000000000101110000010001101000000011000000001010100101001000110101001111010000111100111100010100000010001110000000000000100000010100010000010010011000010011011100010000011100010000000001101000000001011000000001011000000110001100010100101100100100000111001110000000100010000011010010100100010011000000111001010000101000000011101010000000011101011100001100001110000100101011101100000001101000010100011000010001011010110001101010000000110000000100010010110000100100001000000000001101000000101001010011001110101000000000100010010010010000101000000001100001011000000100111001100100000011000110101001010001110001101100000000000101110010000000000100100100001110001010101000110001100101011010000100011000000010001001010101000010000000000001001000000000000101000010010101011100101000110000000001000100000100011010100101000100100100101101001000001110111010000101000101100010010101000111100010101000001101000001011110001001000101100101010001100000010011011010111100101000000100001010010001000011000010000000000110000010111011000010010101101111100011000010001011000010000000001110110000100101011100000111100110010000001111000011000100000101001101000100011100100101001100101000101001001010000000000100010000011001000010010000101001101001100000110101001010000001010010100000100101000000010000010110001101000001111000101011010001101011001110100100101000010010011000100100011110001000010010011010001011001100001001100001100110000010101001000010011001100001000100001011000010011000000000000000000000011110010000000000010001010000000110100100010000011110010100000000100000001110011101100100101101001000101001100000100000001110100011111010100100101000000011011000001100011001000000010110010100001101100100110011010010110100100100100100000100000011100001010111010010101100010101000010010000011000100010000001000100100100110001001110000000000000000111011000000011111000101101001100100110011010000010100010010100100101001000010010101001001111111001100010100000100101100010010001110001000000001010100001100100000000011101000101100000100001010000000001110101000000000000010011001101100100100101010000010000110010011100010000000001011010001110100000010000100001000001000100000000110000101000111110000001110010100100100111100001000001001000000100000000010110101010100110100101010001011000011100000100001111001110101000000001001110111100010000100001000011011111000000100000010101101100010100010010000001001110110011100000100010110000111000001111000100011000111100010001100101000010111000000000000010000110011001010100000000000000001011011001101101101000110010101100011011100000001001010100010000101100110010101101111011000100001110000001001000010010000100011011101001100001001100000000010001010010000111000000101000010011001000100101010001011001010110001100010011100001000000011100000100010000000011000110100101001100001000001000010111011010000111101010000010100000000111010001001100100000011110111000000110110010000011100001010011000000000000110101100000000000110011010101011111100101110100110010011000010001000111000000000000000100000000000110010101100110010001001011001000001110001001100000010110010010001001000001000100110110101011111101100000001000100010010110110101100010111000010000100000101001001000110000000010010011001010001011011101011100000001000001111101001001010001000100010011001100000001100110001111000110010110110000101100111000001001001000010000100101111000011010000001110010010000000000010000001110000000100101000000111001011100000110000010011001100000001100000000110110001000000011000101011000100110000001100000111100000011000001000000001000001000000100100101011100010110001000110001000111111001000010111001000001111000000000010011100111101010000101001001000111111101010011110100000101010000010000100100111001111110000000010000001100100101001111000100101111010001010100100010000011110011000100000010000010110010010110100111000001000010101001000100000000010100101000000000101001100000010111001000110010101010110000000000000101011000110110100100000000011000001111000000000110011010001010110010100100011111100000011000001101110000111001001001100100010001100000010000000101011001000010001100100001001111000010110001010101010101000100011000010001000110001100101000010100001011111100000000101000100100000000000000000100000110100111001110010100100000100000101001111111010110000101001010000100000010100011011111011001110010001000100001000101000000100100110101000100000101001110101000001100110100101000110001000001100101100010000010011101000000000100001011001010000010001110101110011011100100000101110010000101010001111000000000101001011000010101000111011100100001000100001000110000110010000011000110001100011000011000001000011001110100110000111000010001010101100110111010110011100010111111000000110000100011010000110101110110001010100000001010101101001000000011001111110100000001100010000000011001010000101100001100000010111010000101100010000000000001000110000100101010010000100001000010100110000100011100110110001000000101100001000000111000010001011001101101101110001010100010000011000000000000010110100000000010000011001110000000100001000000010000001001010010010100001001001110011000100110010010000010011010110100000110000011010010011100000100000011001011111000010100010000001001000000110010101000001011001000011100011100001100000000100010011110000011001001101010111001010011110000000001000000101000000001101000100000100000000100101001111010100101000001111101100000000000111100110100000100010011100100100110011010101001010011001000100100111101000000010001011101000100010111001000000001001000100010000011010110111101110000000001010101011000010000011110010010001001110100100001111111011000010101100000010100000000000101001010001110000101010100001100110101001000110000100100100000001111000011001000000001001100111000001110000000001101010001000001000100000011010100000001011011111001010110010000100000110011001101000100011110000000000010000011110000010101000101000101101100110010000011011000110010000001000000011000011010101000100010000011100000010010010000100100000110001011000000010001100100100000100010001100000010010010010000111000111000010100100010011001101001110001010010101000100001001010110100001010101001010110100000000000111000000010001001000110111100101010010000100111010010100100000111010000010100000010100011000010010110001110010010100101001001001110111011000101100000000010000111010101000110000100000000001101000001100111100010111000001000000010001000100000111000100001110000000010001110000011101101001000110000100100000001001011010000101001101010110110000010010000001010010001110101010100000000110001001100011000000101010100011111100000000001000001100001000000101101000000101110000100010010011011001000000100111011110010001010010101101100001001011101001001100110010001111110001010100001000101100110000100110001100011010001110000000000001000000100100000010100110100101000000000100110000010000111010000010100110001001000000000100000101010000001001110000000000010000010010001000110001100111101010100100011010001101010110000010100000000000001001001110001010000001101101100100010101101101011000001100000100010000101111101000011011001100000010100100010000010111101100001100100010000010100101010100011010100010011000010010110101100010001001100100011001100010110010100111010101001000010100101011001000010011000000100010000000001000110100011011101010001111011101101101001001000000101010101001110001001100000000000110101100011001100111100010101000100010000001010111000000100101110000001000011000110000110001110000100100100101101011110100010000000010110001101000100000000100000001011100001000100111101001011100001010000000010011100000001101000100001001010010010010000000100000110100000110111100000111000000010000001000100001010001100010100001011101110010000010000010011101101010010000000101010001001000000110101110010100010000000000011110101010000011100100010100100100100111001000001000001110000101100001010111011000001110101011000000100100000110000011000000100000001001111110010000000000000111011000001011000011100000111110011010010111110000000000100000100001110001110000000000010100100000011000011010010010101001000110010110101100100000010100100101101111110010001001010001100010001100000000000100100000110000000100100001001011000010001000000000000010000100100001110110101000101000100011000010101110000010000000011010100001010000010010010010001001100001001011010000000010001111001110000110100111100010010110010101101100001001000011011001001011000000011011000001010110010110000100111101100001001101100000000001001000000101110010010000010000000100001000010011001001100101111000001000011101101001010101100110000010000111100001010000011100001000000100001001100100000001000011001000010101100100001110010000010100000000000011000010100001000100100000100000100010010000000000000000100001101000000001100100001100000010100000101000100100000000001010100000100001011001111011010111010111101100010001010000011000001001010101000000010010001010100100010000010001100001001001111110000010111000000101100110100010011110000000011001010000000001000000011001010001101000001101101100101011000010001000000111000010101101000011011100110110001110000010110000000000000110010100011010010000111000000010001100001110101000100101010001110110000000101010010100110000101000111011001010001000101110001001001000110010010001001111011000110100001001101100101000000000001001101011100111001011111011101000101000010110100010000100011011001010001000011110010111101111100000010001000001001001000000100011101010110010100010110000101001111101001100011010100000001000110000011000000000001000010110000000001010000010000000000010010010100100000011111100000100100101000000000010100000110100000101100000101000010001000000010100101000000000010011000101010001101101011010000010001000001000000111000100000000010001100010000100000101100000010000000000000000000010001000010100100100111000000010001111100000001000010000000100110100111000001000101011000011111010000001010111001110001000111010000001001100101000010110100001100010001011110100100000110101001000001001000001011010000001000101101110000101100001000100110000110001000000100011101000100000000100101111001010000000100000000000000011110110000010100010000111000010001101100000000101001000010101001100111001110010001100000111000001010111000101010000100000000110101100100010000000000101100011001000101000000000000001100010000001001000010010110100000001000101000100101100000101000000010000001000110010100000000110000001110010000010100111000110100000000000010001101011010001010000000010001000000000101001101010000011010111011101110000000100100100111010011101100101000010000001001001011100011100100000011100001000110100100110010111000000010110100000000110000110010010100101000001000010110111110000011100010010000001000100000101110000001100011100001010100000000101011101000010101001100100100001001101001010001001000000001011000101000101100110000000000000101001010001000101101000011010000000011011001000100001000101000011011000111010011100001000000011010000100001000000001001000001000001011000001101010010010100001100001001110000100001011110110001101000010000000100001001001000000010010001101101110010001010101010111010000010101100001000001000001001000100010010010011000101000011011011011100110100001001111111010110100001000000000100100110000001010110000000101101101000001100001011001010100000000000110010000111000100000101110000000010100101100010000000101110001011000001111111010000011011110001000000000000011111000000110000001011110000100110001011010001100100000100010001100000001000100100100000000000001110100001000011000000000100100000000111001110001010010000000001000001001100011100011110100001101100101111101010010001100100000000110000001000010101000000100000000100100111001100000101101000010100100010010000011000001101001100100110001001011001010001110110001101000101000100000111101111011000010100111110100010000000000000000000111011000110101101001010001011011100001000000010001010000100101010001100000000010000000100000101010001001011011000000101011000101110000001010111000000100001010010001011001110011001111010001101100100001011000100010000000011010100110000100100000100000100010010000000001011101000110100100110000001000100000101100010100001010000110000000000111010000101001000010000010100010010010010010010010101101110000010000100000011000110101010101110000100000100001101010100101100010011100100000101000000001100010011100000010110100001010101000101000101101101100000100000010110101100000100010011000000001101001110001001001000100011010000100110000100010011001100000010101000001110110000100000111100101001001100000000100101010111010010010001100000011000100111011010100100011101001010011010001110010100010010000000000011000000010000010010000100010110011010000010000011000100011000010101001011010101100100000100010001110111011001000000101010110100001100001011000010010000000010001100010000000000001000001011010000000101001101001010100000001000011010000110111010001001100111100000110010000111000001011100000001000000011010000000000101000001000000100000001000011011011000010101111000001100100000000000000100101011000111001100011101010110100000000101100000010100110100000000010001000010011000010100010100010100000110110110001001100100001011101101000010000000100001000000010010010010110101000100010101110100011001100110010100011100000101011010010001010110101000110011111000011111000110001101000010001010001010010000000110010100011000010010001100001000100010001110001100011000011100000001000100101111010100001001101000000000011000011111000111110000001010100101000111101011011000100001011000000010111000010010000001001000001010011010000100000000010000001000011101010000100001111111001011110001100110000000001110110100000101000110010110111010111110100100100010011011000000010000000010000100100110101100110000110000001101010000001100011000001100000101000001010001100000000100011100011110101100110100000110000100011111100000100100110000010011100000010011000101000101110100000011000100011100001101000011100000000001110011010110100001011000111001010100100110110100000100001000111101000011000000100001101000100000101101001110001001110001111010100010101000000100101000001001010000010010011101011000100011000100000100110000000000011100010110011000000100111001101011001101000010100011010001010000010010100001001000101000001100111001010001011010100011001001001100110000010001010100011010000101101010001010110000000010010000001001011111100000000110100001010000000010100010000011000001110000011000100000010000110011101001100011000100011010000000001011100110100001110000110100000011010100001100001000001001100100000000101001000101001100010100101010111010000010001001010010100000000000110010000101000110000000100110000101110100101100100001011010001100000011110010001001001001101010011001100100001100011010000000000100010010011111000100001100011101100000000000000010000001001000010010010001000100111011001001000100100000000101101100011000001000101000111110010100000000000011010100001100010100100111100010100110011000110001110000100001100000011001001000010110000000111010001100111010011110011001001001111101000011101011000111100011100000110001001101111000001100100001001101100110101000000100010010000000000110110000100010000101000101010100010011011011000011111000001011011000010000000100100000100001000000110000000010000101000101000111010100100110111010001001000000010100011110000001010000111000000110000011010000110000011000000000000101010000101100100011000100100010000001000110000000010000001100011000001000100011101110100010010001100000000100011000000000000100100001101011101000100100001101000000011010000100010000000010001000011110001000111000000010000000010001100100010001100000011101011101110011000000000010011010011001001000100001000101010000000110010101010100000000011010000111000010101110100011000100011101100010101000110101110110000110101100000110000000000100001000010000100000010111010010001011001000000001100000111111111010110000000101100001100101010110101000001001101001110100011100110101100000011001110010100100110110100000010010000000001101100111001101011010001100010000001000110100100000100110000100011010101100101100110011000000000001000101111101000000010100000010000000001101000100010001010000001000001001011100000011010000100000100011001000000000111011011110011000010000000000100000100110000000110100001100011001100010100010000000000000101000111010010000011000010101010001000100010000000001101100000000010010101000110101111100011110110100100101000000011000100000000101011001100000100011000101010000100100010100101100111101011000001000001001000101011011001011000010001101010111011000000000111011100000000000000001001001100100101001011100100111001001000000010000100001100011110110000011100001010100000010000100101100111010001101000001010111000100010000010001101010101001000110001011101011110000011010001100001001011100000010101101100101111001100101010000000000001100010000001001110000000110011011010110100001000001010010011010100000100000011100110100110101001001101100001010000000100000101000010010000110010101000111000100010000001101011010101101011001100000101010110010000000010000101000100100000000101001110001001100000001011000100101010000011001000000100011110100110010011011000100011000101010000010000000000100010000000011001001100110010011000000101000000000000100100101000010001110011000101110000000110100011011000000010000000100101000010001010000110000010000010001100101001101100101000000110001100010011011001110101110011011010100010000100000011101100010000010001100100100100001001000000110001001000110011010110001010010101000000110010010110010000101000100000011101111011000010010001000110011000000100101000101010000001000001010001001101101000100011111000000000001000110000000000000000001011000000100001000001000111010001001010000011001110111000000100000110000000011101010100011010000011110001100100000000001000000000011110000011011000110011000000001100000100000000100010010011000000011001100010001101000000000110011010000110100010011000111110000100010100000110011011111000000000010001100000011010100000000100111001001001000100010100000011010010100001011000000000010011101001001100010000000000110101001100110011001010000000010001100010001110000000111001000010010000011100100111000000000000101010011000110010010010010000000010100101011110101001010111110110010011010100000111001000010100110000110000000110000100110010111000011000000000100110101010010100001010010001100101011100100100101000000010110111110000011000000000100000100101001111000110001000011100101000010000000101000011100010000100000100010111011000000111011010010101000000000000001000111000101111011001100001100101000000010001011000100110000000010111000100110010100101110010110100000000010011011000110110011100100000001001001100110010001010000000110101001000100100100001101100100100111000101001000000001010010000001110010010111001000001000101000001010011000110011000001010100110000000001010111101111011001011010110101000001000011100011000110100001011001000100101010011000101010011001100110010101001000010101011000000000001000100011011000010011111000000011100010000100010000100110100000001000100001010100011100110000001000110100110010000110111001100100011111100100000000011010000000000000011000001000001010000011000010001110011101000100110010001000000001010100010011101111110110000010010111100001010000100101100000101100100000111011000000000001000100100001011000010100001001001111000000100100001000010000110111010110111000010010101000010110011000010000000001000100101001000001000000101001101001011011100010011000001001011111000010010100100000111100101001010001100100001110001010000100001000011100001010000100010100000000101100000001010101000000010001000010011000000111100100001000000100011010000000101111000000110101100001100000110110000000100010110010100010001100011000010011111010110010010100000000111001001000010010001100000011010000010000100011100100111000010111011101000000000011001100010001000111000011100110000010011100000010111010011100100010101001010001001000000000000100101000000000100101001100000000111000001011100100110101000110010100100010001000000010100111011010000010111101010011110100001001111100101001111101001001100101010000010000000110100010100001111000100010000000000100011111111100100110000001000000011000000000000000011111111000100110000000100000100100000001010001001011100001101000001100000101000101010000100000101110000100000100010110110000000100110010001001101000001100011001000000000000100000000110001001111000100000101000110001110101000000001001010010010110110111001100010000010101001001001000100110100101100100101001101010110001101011100000000100010011000101110101111000000100001000100000110001000010011000001000110100001000001101000010101110100110101001111001000110101100101000010000100001010001010100011101000000101100010000100010100000000111100000001011110011010010110111011111010000010001000111001000000000100001111000000101101001000011010101011100101000011000000100011000101100111011000011000111001000011011100000111001010101110000101100011010010001000000000110110100010101000111001010000010110010101100000010000000100010001110101100111010100010001100000110101100011000000000000000100000011000101000010001010000011010000010100010010000000000110010000000100000100010000010001101011010001100101001000110001000011100010000101110001010010000100000110111010001010000011001100100101011110000101101001010100100000001111110011110100001000011110111000001101100010010111000001010011010101000111111100100010100000100011111001011000110100111100100000101100100100010001001110001001001110001001101000001000010000010100011100110010010100001101011110001010011010001001001011010001110111000101110000000001001010010010001010011010000100000110100000001010001000000111000000011100110000001111000000010000010100100010101010001000000000000001111010010011010000000101001001110000100010010010001011
1334 46601