Kertoma

from math import factorial


inp = input()
count = inp.split(" ")
n = 0
for i in range(0, 10):
    count[i] = int(count[i])
    n += count[i]

def checkIfCorrect(f : str) -> bool:
    isNum = True
    for j in range(0, 10):
        cf = f.count(str(j))
        if(cf == int(count[j])):
            continue
        else:
            isNum = False
            break
    return isNum


imin = max(map(int, count), default=2)
imax = 10**5    

flg = True
while flg:
    mid = (imin + imax ) // 2  

    f = str(factorial(mid))
    l = len(f)
    mag = n-l

    if mag > 0:
        imin = mid
    elif mag < 0:
        imax = mid
    elif mag == 0:
        
        if(checkIfCorrect(f)):
            flg = False
            print(mid)
        else:
            for i in range(-1, 2):
                f = str(factorial(mid+i))
                if(checkIfCorrect(f)): 
                    print(mid+i)
                    flg = False
        
        

Test 1

Group: 1, 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 2

Group: 1, 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 3

Group: 1, 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 4

Group: 1, 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 5

Group: 1, 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 6

Group: 1, 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 7

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 8

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 9

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 10

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

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