csharp, 136 bytes

Result

WA

Code [DL]

using System;class A{static void Main(){for(innt i=51;--i;)Console.Write(Math.Sqrt(8*Convert.ToByte(Console.ReadLine(),2)+1)%2<1?0:1);}}

stdin

11100111
10100101
10100100
01111000
00110010
01111000
01101100
01101001
10101011
00001111
10111111
10010101
11001111
11111100
11011000
11110101
10001000
10011001
00010101
10110011
00111110
10011000
11000011
00001001
00010011
00001010
01011011
11011100
01100111
00100100
01000010
00000110
10110000
11010101
01100001
01010011
11010010
01001110
11111101
00011100
00000011
11110010
00000001
00110111
00101101
10110100
10111110
01101001
11111001
00000000

stdout

Compilation failed: 2 error(s), 0 warnings

stderr

/tmp/code.cs(1,45): error CS0246: The type or namespace name `innt' could not be found. Are you missing an assembly reference?
/tmp/code.cs(1,57): error CS0841: A local variable `i' cannot be used before it is declared
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace