c-gcc, 86 bytes

Result

WA

Code [DL]

s[9];main(j,a,t){for(;gets(s);puts(&a))for(t=strtol(s,0,2),j=a=48;j--;)a+=j*j-j==t*2;}

stdin

00101111
11111101
10100100
01010000
11010010
01101101
00000110
00100101
00111111
00001111
00101101
01100101
00000001
11100111
01111000
00000011
00010101
00001010
11111111
01101001
00001000
01000010
10011001
10000111
11010100
01001110
01011011
11101010
00110000
01011011
00000000
10110110
01100010
01101000
01011111
00010011
01111110
00100100
01100011
10001000
01111001
10101011
11111101
11000000
10111000
11000110
10111110
00011100
00110110
00110111

stdout

0
1
0
0
1
0
1
0
0
1
1
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
0
0
1
2
0
0
0
0
0
0
1
0
1
0
1
1
0
0
0
1
1
0
1

stderr

/tmp/code.c:1:1: warning: data definition has no type or storage class
 s[9];main(j,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:1:1: warning: type defaults to ‘int’ in declaration of ‘s’ [-Wimplicit-int]
/tmp/code.c:1:6: warning: return type defaults to ‘int’ [-Wimplicit-int]
 s[9];main(j,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:1:6: warning: type of ‘j’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:6: warning: type of ‘a’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:6: warning: type of ‘t’ defaults to ‘int’ [-Wimplicit-int]
/tmp/code.c:1:23: warning: implicit declaration of function ‘gets’ [-Wimplicit-function-declaration]
 s[9];main(j,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:1:31: warning: implicit declaration of function ‘puts’ [-Wimplicit-function-declaration]
 s[9];main(j,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:1:46: warning: implicit declaration of function ‘strtol’ [-Wimplicit-function-declaration]
 s[9];main(j,a,t){for(;gets(s);puts(&a))for(t=strtol(s,0,2),j=a=48;j--;)a+=j*j-j==t*2;}
                                              ^
/tmp/ccY1Dx8k.o: In function `main':
code.c:(.text.startup+0x10): warning: the `gets' function is dangerous and should not be used.

strace