csharp, 135 bytes

Result

WA

Code [DL]

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

stdin

00110000
01011100
10111110
11010010
11110011
01011011
00000000
11001101
01011111
00110111
10001000
00000000
01100000
01011000
11011110
10101000
10011001
00001010
00000011
00100100
11111101
00011001
00010101
00000110
00000001
00011100
11110101
00100011
01000010
00011110
01110011
01001110
01110100
01111000
00010010
01011010
01100011
00001111
11100010
11110010
01101001
10101011
01001111
11100111
11111110
00101101
00011100
10110101
00101100
00011010

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,29): error CS0825: The contextual keyword `var' may only appear within a local variable declaration
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace