concise-folders, 203 bytes

Result

AC

Code [DL]

00000000  50 4b 03 04 0a 00 00 00  00 00 d0 6c 15 4b 00 00  |PK.........l.K..|
00000010  00 00 00 00 00 00 00 00  00 00 01 00 00 00 69 50  |..............iP|
00000020  4b 01 02 1e 03 0a 00 00  00 00 00 d0 6c 15 4b 00  |K...........l.K.|
00000030  00 00 00 00 00 00 00 00  00 00 00 68 00 00 00 00  |...........h....|
00000040  00 00 00 00 00 10 00 ed  41 00 00 00 00 69 66 2f  |........A....if/|
00000050  74 72 75 65 29 7b 7d 66  6f 72 28 69 6e 74 20 69  |true){}for(int i|
00000060  3d 30 3b 69 2b 2b 3c 35  30 3b 43 6f 6e 73 6f 6c  |=0;i++<50;Consol|
00000070  65 2e 57 72 69 74 65 28  4d 61 74 68 2e 53 71 72  |e.Write(Math.Sqr|
00000080  74 28 31 2b 38 2a 43 6f  6e 76 65 72 74 2e 54 6f  |t(1+8*Convert.To|
00000090  42 79 74 65 28 43 6f 6e  73 6f 6c 65 2e 52 65 61  |Byte(Console.Rea|
000000a0  64 4c 69 6e 65 28 29 2c  32 29 29 25 31 3e 30 3f  |dLine(),2))%1>0?|
000000b0  30 3a 31 29 2f 50 4b 05  06 00 00 00 00 01 00 01  |0:1)/PK.........|
000000c0  00 96 00 00 00 1f 00 00  00 00 00                 |...........|
000000cb

Disassembly

/tmp/code

0 directories, 0 files

stdin

00101101
11110010
00011110
01000010
10010010
00001111
00000110
00100010
11101110
10011010
00011100
11100111
11111101
10011000
00100100
11001101
10001000
01011010
00110111
10000110
01101001
11011001
00101100
01111110
10101011
11100001
01111001
00001010
01111000
00011001
01001110
10111110
00010000
10101010
00000001
00000011
01011011
00010101
01101101
00000000
11101101
10101011
11010110
01000001
00111111
11010010
11001000
10011001
11111101
10010011

stdout

10010110001110101010100010011011001111010100010110

stderr

if/true){}for(int i=0;i++<50;Console.Write(Math.Sqrt(1+8*Convert.ToByte(Console.ReadLine(),2))%1>0?0:1)/:  mismatching "local" filename (i),
         continuing with "central" filename version

strace