c-gcc, 96 bytes

Result

WA

Code [DL]

main(j,s,a,t){for(;gets(s);putchar(a?49:48)){t=strtol(s,s,2);a=0;for(j=t;j--;)a+=j*(j+1)==t*2;}}

stdin

11001100
11111101
00101000
00000110
10001001
10111111
10100010
10111010
01110100
00000001
10001011
01011011
00011100
01001110
11111101
00001010
00010010
01000010
10111011
00100100
01111000
00010101
00000110
00100110
10010000
00101101
10001010
01111111
10011110
01101010
00010000
00001111
10000011
10111110
10101011
00000000
11100111
10011001
11001101
11001000
01101001
10001000
11010010
01001001
00111100
00100010
01001011
00110111
00000011
00010111

stdout

stderr

/tmp/code.c:1:1: warning: return type defaults to ‘int’ [-Wimplicit-int]
 main(j,s,a,t){for(;gets(s);putchar(a?49:48)){t=strtol(s,s,2);a=0;for(j=t;j--;)a+=j*(j+1)==t*2;}}
 ^
/tmp/code.c: In function ‘main’:
/tmp/code.c:1:1: warning: type of ‘j’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:1: warning: type of ‘s’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:1: warning: type of ‘a’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:1: warning: type of ‘t’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:20: warning: implicit declaration of function ‘gets’ [-Wimplicit-function-declaration]
 main(j,s,a,t){for(;gets(s);putchar(a?49:48)){t=strtol(s,s,2);a=0;for(j=t;j--;)a+=j*(j+1)==t*2;}}
                    ^
/tmp/code.c:1:28: warning: implicit declaration of function ‘putchar’ [-Wimplicit-function-declaration]
 main(j,s,a,t){for(;gets(s);putchar(a?49:48)){t=strtol(s,s,2);a=0;for(j=t;j--;)a+=j*(j+1)==t*2;}}
                            ^
/tmp/code.c:1:48: warning: implicit declaration of function ‘strtol’ [-Wimplicit-function-declaration]
 main(j,s,a,t){for(;gets(s);putchar(a?49:48)){t=strtol(s,s,2);a=0;for(j=t;j--;)a+=j*(j+1)==t*2;}}
                                                ^
/tmp/ccpt2vaX.o: In function `main':
code.c:(.text.startup+0x8): warning: the `gets' function is dangerous and should not be used.
/home/esolang/bin/c-gcc: line 6:    13 Done                    cat -
        14 Segmentation fault      (core dumped) | /tmp/code

strace