fish, 112 bytes

Result

AC

Code [DL]

a5*>80>2*i68*-+$1-:?v~iv
;
>  ^  ^            $<
? vv?:v?=,2*+1:@:{:}<:~<
: 0>1-              ^
- v  1<
^ >n~~1

stdin

01111100
00000001
10110010
01111000
10001011
10001000
01001110
10001000
01110000
01000010
00011100
00111001
11000010
00100100
11010000
11010010
01110001
11000000
00010000
00111101
00101001
00001010
00000000
01101001
00110111
11010010
10111110
10011001
10101011
00101010
00101011
00011000
00110101
00010101
11010011
00000100
11100111
11111101
00001111
00010011
00011111
00101101
00000110
00000011
10011010
01011011
00100111
01001011
10001111
00111110

stdout

01010111011001010000011111111000010011100111010000

stderr

strace