node, 99 bytes

Result

AC

Code [DL]

with(require("fs"))readFileSync(0,"utf8").match(/\d+/g).map(q=>write(1,+!((1+`0b${q}001`**0.5)%2)))

stdin

01110111
10001001
01100111
00001010
10111110
10001000
01101001
11010010
00100100
01100110
00000011
01010010
11001000
01011110
00000110
10101011
01101111
01101001
00110100
01011011
00111011
00001110
00101101
10101001
00000101
00010110
00011001
01001110
00110111
10110100
11010011
11111101
01011101
00010101
11100101
00001111
11011000
10011001
11101010
00000000
01000010
11100111
11101111
10110000
00101011
00000000
00000001
01111000
00011100
11101000

stdout

00011111101000110101001000011001010101011100011110

stderr

(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.
(node:5) [DEP0013] DeprecationWarning: Calling an asynchronous function without callback is deprecated.

strace