csharp, 135 bytes

Result

WA

Code [DL]

using System;class _{static void Main(){for(int i;i++<50;Console.Write(Math.Sqrt(1+8*Convert.ToByte(Console.ReadLine(),2))%1>0?0:1));}}

stdin

01011011
01000101
01010011
00001100
00000001
00010101
01001101
11100110
01000010
11111101
00110111
10001000
00101101
00111010
11010010
01101001
00001010
01000010
10010011
00001111
01101001
11000101
01111000
00111101
10111110
01001001
11110100
11101101
00111111
01110000
11100111
10101111
11001101
01001110
10011001
11010000
00000011
00011100
00100100
00000000
01111010
01000111
11100000
01010000
00000110
00111011
01101111
01011110
00111100
10101011

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,51): error CS0165: Use of unassigned local variable `i'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace