Kertoma

import math
 
def unfactorial(luku):
    jakaja = 2
    while luku > 1:
        luku = luku / jakaja
        jakaja += 1
    return jakaja-1
 
# brute the answer
def brute(question_input):
    i = 2
    while True:
        x = math.factorial(i)
        # https://stackoverflow.com/questions/21270320/turn-a-single-number-into-single-digits-python
        digits = [(x//(10**y))%10 for y in range(math.ceil(math.log(x, 10))-1, -1, -1)]
        digits.sort()
        test = [0] * 10
 
        for digit in digits:
            test[digit] += 1
 
        test_input = str(test).replace("[", "").replace("]", "").replace(",", "")
 
        print(test, test_input, question_input)
 
        if question_input == test_input:
            return unfactorial(x)
 
        i += 1
 
if __name__ == "__main__":
    question_input = input()
    print(brute(question_input))

Test 1

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 2

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 3

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 4

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 5

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 6

Group: 1, 2, 3

Verdict: WRONG ANSWER

Test 7

Group: 2, 3

Verdict: RUNTIME ERROR

Traceback (most recent call last):
  File "input/code.py", line 34, in <module>
    print(...

Test 8

Group: 2, 3

Verdict: RUNTIME ERROR

Traceback (most recent call last):
  File "input/code.py", line 34, in <module>
    print(...

Test 9

Group: 2, 3

Verdict: RUNTIME ERROR

Traceback (most recent call last):
  File "input/code.py", line 34, in <module>
    print(...

Test 10

Group: 2, 3

Verdict: RUNTIME ERROR

Traceback (most recent call last):
  File "input/code.py", line 34, in <module>
    print(...

Test 11

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 12

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 13

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 14

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 15

Group: 3

Verdict: TIME LIMIT EXCEEDED

Test 16

Group: 3

Verdict: TIME LIMIT EXCEEDED