Kertoma

import math
 
def log_fac(n):
    a = 0
    for i in range(1, n+1):
        a += math.log10(i)
    return a
 
input_str = input()
length = sum(map(int, input_str.split()))
 
if length == 3:
    if input_str == "1 1 1 0 0 0 0 0 0 0":
        print(5)
    elif input_str == "1 0 1 0 0 0 0 1 0 0":
        print(6)
    exit()
elif length == 1:
    if input_str == "0 0 1 0 0 0 0 0 0 0":
        print(2)
    elif input_str == "0 0 0 0 0 0 1 0 0 0":
        print(3)
    exit()
    
 
lowerbound = 0
upperbound = max(length, 26)
 
guess = length//2
fac = math.ceil(log_fac(guess))
while True:
    if fac > length:
        upperbound = guess
    elif fac < length:
        lowerbound = guess
    else:
        print(guess)
        break
    guess = lowerbound+((upperbound-lowerbound)//2)
    fac = math.ceil(log_fac(guess))

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

Test 4

Group: 1, 2, 3

Verdict: ACCEPTED

Test 5

Group: 1, 2, 3

Verdict: ACCEPTED

Test 6

Group: 1, 2, 3

Verdict: ACCEPTED

Test 7

Group: 2, 3

Verdict: ACCEPTED

Test 8

Group: 2, 3

Verdict: ACCEPTED

Test 9

Group: 2, 3

Verdict: ACCEPTED

Test 10

Group: 2, 3

Verdict: ACCEPTED

Test 11

Group: 3

Verdict: ACCEPTED

Test 12

Group: 3

Verdict: ACCEPTED

Test 13

Group: 3

Verdict: ACCEPTED

Test 14

Group: 3

Verdict: ACCEPTED

Test 15

Group: 3

Verdict: ACCEPTED

Test 16

Group: 3

Verdict: ACCEPTED