csharp, 132 bytes

Result

WA

Code [DL]

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

stdin

10000111
01101001
11010011
00100100
01000010
01011000
10011001
11001011
11011011
11001010
00000011
01111110
00111101
10001000
10001100
01010001
00001111
00001101
11100101
00111001
00011100
00101101
00000110
10000001
00000001
00001111
01011011
01111000
10110000
00110111
01011011
11101101
11111101
10110100
00111100
10111110
10101011
10011101
01001110
10000010
00010101
00001010
00011011
01100101
11010010
10011111
11100111
00000000
10111100
11111100

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,29): error CS1520: Class, struct, or interface method must have a return type
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace