python3, 45 bytes

Result

WA

Code [DL]

x=while 1:x=1^((1+8*int(input(x),2))**.5%1>0)

stdin

11101010
00110111
01011000
00001010
10001000
00000000
11100011
10011001
10111110
01100010
10100101
10000000
00001111
00011100
01000010
11100111
10101101
00100100
01001111
00000110
10100011
00000011
00110000
01111000
00010110
01111100
11100111
11111100
01101000
01000111
01001110
10010110
01000010
00110100
10011011
00101101
00011111
00000001
11010010
11111101
10001011
10100001
01000101
01011011
11011110
11000100
00010101
11110100
01101001
10101011

stdout

stderr

  File "/volume/CODE", line 1
    x=while 1:x=1^((1+8*int(input(x),2))**.5%1>0)
          ^
SyntaxError: invalid syntax

strace