python3, 46 bytes

Result

WA

Code [DL]

i=''
while 1:i=(1+8*int(input(i),2))**.5%1 or1

stdin

10001000
00011100
00000011
11000111
01011011
11100001
10101011
00110001
10110011
01100001
00100100
00000110
00001010
11010010
11000011
11101110
10111110
11010101
01001100
10110101
00101101
01111000
01111110
11101000
11111101
10010011
10001110
00000000
00010101
00110111
00010101
01101000
10011001
01001110
11010001
00101101
00000001
10010111
11001000
00000111
11000001
11100111
01000010
11110010
11010111
00010000
01000011
01101001
00001111
10110110

stdout

stderr

  File "/volume/CODE", line 2
    while 1:i=(1+8*int(input(i),2))**.5%1 or1
                                            ^
SyntaxError: invalid syntax

strace