csharp, 135 bytes

Result

WA

Code [DL]

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

stdin

11100111
00111110
10011001
10001000
00111011
00010001
00100001
11100111
01000010
00101011
01011011
10001110
01010111
00001000
00111101
01111100
00000011
01001100
01001110
10100101
11010001
00011100
00000110
01111000
10110111
00100000
10111110
00000001
00000000
01110111
00001010
10010100
11101011
11000100
10110011
00100100
11110100
00001111
00010101
10101011
01101001
01100010
01010110
00101101
00110111
10111011
11010010
01000110
11111101
01011011

stdout

Compilation failed: 2 error(s), 0 warnings

stderr

/tmp/code.cs(1,53): error CS1525: Unexpected symbol `t', expecting `.'
/tmp/code.cs(1,73): 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