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?1:0))}}

stdin

01000110
00100110
00000000
11010011
00110111
00111001
01011011
11010010
00000000
10011101
10001000
00010101
00110111
00101101
11111101
00000110
00000011
01100101
11100111
01110100
10000111
00100100
10110110
11011111
10011001
00001010
10111110
10010011
01111000
00000001
01110010
10000100
10011011
01000010
11110111
00001001
01001110
00100111
11000011
00001111
01100111
00100001
01000001
10110000
10101011
00011100
11010101
01101001
11011011
10110010

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,135): error CS1525: Unexpected symbol `}'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace