Bittijono

import re
import math
a = "0"
b = input()
c = 0
 
while c != math.pow(10, 5):
    rep = {"0": "1", "1": "0"}
 
    rep = dict((re.escape(k), v) for k, v in rep.items())
    pattern = re.compile("|".join(rep.keys()))
    text = pattern.sub(lambda m: rep[re.escape(m.group(0))], a)
    print(a)
    a = a + text
    c += 1
d = list(a)
while True:
    print(a[input()-1])

Test 1

Group: 1

Verdict: TIME LIMIT EXCEEDED

Test 2

Group: 2

Verdict: TIME LIMIT EXCEEDED

Test 3

Group: 3

Verdict: TIME LIMIT EXCEEDED