csharp, 137 bytes

Result

WA

Code [DL]

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

stdin

10011001
01110101
00001100
00000000
10101111
00101101
10000011
00000011
00101000
01000010
11110000
11001001
01101001
00110000
10011111
00100100
11100000
00001111
11111101
00011101
11001111
10111110
11100111
00001010
10000111
01111000
11010010
11111100
01110000
11101101
00110111
10101011
01001000
00011100
10010000
00000000
00100010
00000110
00110110
11000110
10111110
00010101
10100000
00000001
01011011
10010011
11100110
01001110
10001000
10100010

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,80): error CS0029: Cannot implicitly convert type `double' 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