Minimum Addition to Make Integer Beautiful
You are given two positive integers n and target.
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
- 1 <= n <= 1012
- 1 <= target <= 150
- The input will be generated such that it is always possible to make n beautiful.
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