csharp, 135 bytes

Result

WA

Code [DL]

using System;class E{static void Main(){while(Strinng t=Console.ReadLine())Console.Write(Math.Sqrt(8*Convert.ToByte(t,2)+1)%2-1?1:0);}}

stdin

11001001
00000000
01110110
00110011
01101001
00101101
10011001
00000011
01010100
01110100
10101110
01000010
10000111
10111110
10101101
00001111
01111000
00000001
00100110
11100111
00100100
11111101
01010011
00010101
01011011
00001010
01011110
00011001
11101101
01111110
11110001
10000000
01010110
00001111
10111000
10111111
11010010
11010100
10111110
11111110
00011100
01011100
10101011
01000001
01001110
00000110
10001000
10011100
01010111
00110111

stdout

Compilation failed: 2 error(s), 0 warnings

stderr

/tmp/code.cs(1,54): error CS1525: Unexpected symbol `t'
/tmp/code.cs(1,74): error CS1525: Unexpected symbol `)', expecting `;' or `}'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace