Deleting digits

#include <iostream>
#include <algorithm>

using namespace std;

int main() {

    int n;
    cin >> n;

    int steps = 0;

    while (n > 0) {
        int temp = n;
        int max_digit = 0;

        while (temp > 0) {
            max_digit = max(max_digit, temp % 10);
            temp /= 10;
        }

        n -= max_digit; 
        steps++;
    }

    cout << steps << "\n";
    return 0;
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: ACCEPTED

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

Verdict: ACCEPTED