csharp, 136 bytes

Result

WA

Code [DL]

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

stdin

01001110
11011011
00010000
01111000
10101111
11111111
00000001
00000000
00101101
00101101
00000110
11111101
00011010
01101001
00110010
00100000
01010010
00001000
10011001
11010010
10111001
00100111
11001010
00010101
11110111
11010001
10101011
00110111
00100100
01111000
00011100
01000010
00010111
10111110
00111111
11100111
11111001
10001000
00000011
00001010
00001111
01011100
11001000
00100011
11010011
11000001
10110000
00110101
00110110
01011011

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,134): 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