csharp, 136 bytes

Result

WA

Code [DL]

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

stdin

01101001
00100011
00101111
01001110
11001110
01010110
00010111
10011011
00000110
10000011
10001110
01101111
01110101
01001110
11101000
00110111
00110010
10101011
01001011
11111110
11100001
11100111
00000001
11100110
10001000
01011011
00000011
00010101
00101101
10011001
11001000
00111101
10111110
00100100
11010010
10000010
00001010
00000000
10000100
11111101
11100000
01111000
00011100
00001010
01000010
11011011
01101110
10000101
01100011
00001111

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,55): error CS0029: Cannot implicitly convert type `int' to `bool'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace