csharp, 74 bytes

Result

WA

Code [DL]

Console.Write(Math.Sqrt(1+8*Convert.ToByte(Console.ReadLine(),2))%1>0?:1))

stdin

00111001
00010100
01101001
00000110
01011011
11000100
00100100
01001001
10111110
11111010
00000110
00101101
00001111
01111000
11111101
00111100
00001010
00100101
00000001
11000000
00011110
11110001
00110110
10001000
11010111
10011001
10100101
00101000
10111110
10110101
10101111
01110100
00110111
10000110
00010001
00010101
00011100
01100010
11100111
10101010
00000000
10110100
01001110
01101101
10110110
10101011
11110100
11010010
00000011
01000010

stdout

Compilation failed: 1 error(s), 0 warnings

stderr

/tmp/code.cs(1,0): error CS1525: Unexpected symbol `Console'
Cannot open assembly '/tmp/code.exe': No such file or directory.
rm: cannot remove '/tmp/code.exe': No such file or directory

strace