LeetCode-in-Java

2457. Minimum Addition to Make Integer Beautiful

Medium

You are given two positive integers n and target.

An integer is considered beautiful if the sum of its digits is less than or equal to target.

Return the minimum non-negative integer x such that n + x is beautiful. The input will be generated such that it is always possible to make n beautiful.

Example 1:

Input: n = 16, target = 6

Output: 4

Explanation: Initially n is 16 and its digit sum is 1 + 6 = 7. After adding 4, n becomes 20 and digit sum becomes 2 + 0 = 2. It can be shown that we can not make n beautiful with adding non-negative integer less than 4.

Example 2:

Input: n = 467, target = 6

Output: 33

Explanation: Initially n is 467 and its digit sum is 4 + 6 + 7 = 17. After adding 33, n becomes 500 and digit sum becomes 5 + 0 + 0 = 5. It can be shown that we can not make n beautiful with adding non-negative integer less than 33.

Example 3:

Input: n = 1, target = 1

Output: 0

Explanation: Initially n is 1 and its digit sum is 1, which is already smaller than or equal to target.

Constraints:

Solution

public class Solution {
    public long makeIntegerBeautiful(long n, int target) {
        if (sumOfDigits(n) <= target) {
            return 0;
        }
        long old = n;
        long newNumber = 1;
        while (sumOfDigits(n) > target) {
            newNumber = newNumber * 10;
            n = n / 10 + 1;
        }
        newNumber = (n) * newNumber;
        return newNumber - old;
    }

    public long sumOfDigits(long n) {
        long sum = 0;
        while (n > 0) {
            sum = sum + n % 10;
            n = n / 10;
        }
        return sum;
    }
}