csharp, 136 bytes

Result

WA

Code [DL]

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

stdin

11001110
00000001
10101111
01011011
00100000
10001001
10111011
00011100
11100111
10111100
00100100
00110111
00001111
00001000
00010001
00000000
01111000
01001011
11010010
01100111
10100111
11100011
10101011
00000110
01011101
00001011
10000110
11001101
11111100
10001000
00001010
01110101
01000010
10011001
00101101
11011010
01001100
11001001
00110010
10000111
00000011
00010101
01101001
11111101
01000010
11000101
10110001
01001110
00001010
10111110

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,54): error CS0029: Cannot implicitly convert type `int' 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