c-gcc, 87 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;j--)a+=j*j+j==t*2;}

stdin

10011110
11110110
00000001
01011011
00000011
10011001
11101110
00000110
11001000
00101000
10101011
11100111
01001100
00010100
00001010
00100011
01001110
10001000
00100010
00110111
10011011
01001111
00010101
10111111
00010101
00011001
00011100
01101001
10100110
11010110
10110100
01000010
00101101
00000000
01000001
10100000
10011001
00100100
11010010
10111110
11111101
01100000
10100100
10110010
01000100
01010010
00001111
00101010
10000111
01111000

stdout

0
0
1
1
1
1
0
1
0
0
1
1
0
0
1
0
1
1
0
1
0
0
1
0
1
0
1
1
0
0
0
1
1
0
0
0
1
1
1
1
1
0
0
0
0
0
1
0
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;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;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;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;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;j--)a+=j*j+j==t*2;}
                                              ^
/tmp/ccmc1Us6.o: In function `main':
code.c:(.text.startup+0x10): warning: the `gets' function is dangerous and should not be used.

strace