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

00001100
11100101
01011011
00111010
00000001
01000001
11111110
00000110
10101011
01011001
00001010
01111000
10111111
10100101
01001000
00011100
00000001
00110111
00001111
01010000
01101001
01010011
11010010
11111101
01000010
01110100
01110001
00101101
00100100
00000011
00000000
00010010
10111010
00100111
01001110
11000010
11110111
00010101
10011001
11100111
10001000
00010101
10001001
10100000
10000111
01011110
10011011
10111110
10011010
01011000

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