c-gcc, 83 bytes

Result

WA

Code [DL]

main(j,s,a,t){for(;gets(s);puts(&a))for(t=strtol(s,0,2),j=a=48;--j;)a+=j*j-j==t*2;}

stdin

11100011
01101101
00100110
00001111
01000001
00001111
11101001
10001000
11010101
00000110
00000011
10110100
00011100
10011110
01000100
11100111
10100101
01001000
10011001
01001110
01000101
11010010
00000001
11111011
10101011
11111111
11111101
01000010
01101110
00110111
00010101
01100010
01011110
00100011
00100001
10011100
00001010
01011011
11011101
01110000
00100100
01101001
00011011
10111110
10111110
11010111
00000000
00101101
01111000
00101001

stdout

stderr

/tmp/code.c:1:1: warning: return type defaults to ‘int’ [-Wimplicit-int]
 main(j,s,a,t){for(;gets(s);puts(&a))for(t=strtol(s,0,2),j=a=48;--j;)a+=j*j-j==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);puts(&a))for(t=strtol(s,0,2),j=a=48;--j;)a+=j*j-j==t*2;}
                    ^
/tmp/code.c:1:28: warning: implicit declaration of function ‘puts’ [-Wimplicit-function-declaration]
 main(j,s,a,t){for(;gets(s);puts(&a))for(t=strtol(s,0,2),j=a=48;--j;)a+=j*j-j==t*2;}
                            ^
/tmp/code.c:1:43: warning: implicit declaration of function ‘strtol’ [-Wimplicit-function-declaration]
 main(j,s,a,t){for(;gets(s);puts(&a))for(t=strtol(s,0,2),j=a=48;--j;)a+=j*j-j==t*2;}
                                           ^
/tmp/cc5Q0tK9.o: In function `main':
code.c:(.text.startup+0x10): 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