fish, 89 bytes

Result

AC

Code [DL]

a5*>80$>$2*i68*-+$1-:6$0$?.i~~~~:1+0}04.
;
>  ^
?
 <v!?:}+{=,2*+1:@:{:}-1<
: >{nv
^-1~~<

stdin

10011001
10101011
01111110
10100110
10111100
01111101
00011100
11101000
01101001
10111111
00100100
10110111
11111101
10101111
11100111
00010101
00110111
01110101
00110110
01110011
00011100
00000011
10000000
11011011
00101101
11110110
01111011
11111000
00001111
00000110
01001110
00011110
10001000
10111110
00101000
01010111
01111000
01011011
11111101
11100010
11010010
00000001
10001111
01000010
10110000
01101011
00000000
00001010
10011101
10011110

stdout

11000010101010111000110010001110110011101101001100

stderr

strace