Problem URL: Minimum addition to make integer beautiful

We will iterate through the digits of the number and find the minimum number of digits we need to add to make the number beautiful. We will keep track of the number of digits we have seen and the number of digits we need to add. If the number of digits we have seen is greater than the number of digits we need to add, we will add the difference to the number of digits we need to add. If the number of digits we have seen is less than the number of digits we need to add, we will add the difference to the number of digits we have seen.

class Solution:
    def makeIntegerBeautiful(self, n: int, target: int) -> int:
        n0 = n
        i = 0
        while sum(map(int, str(n))) > target:
            n = n // 10 + 1
            i += 1
        return n*(10**i) - n0

Time complexity: O(log(n))
Space complexity: O(1)