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Minimum Operations to Make Array Sum Divisible by K

You are given an integer array nums and an integer k.

You are given an integer array nums and an integer k. You can perform the following operation any number of times:

Return the minimum number of operations required to make the sum of the array divisible by k.

Minimum Operations to Make Array Sum Divisible by K diagram

Example 1

Input: nums = [3,9,7], k = 5

Output: 4

Example 2

Input: nums = [4,1,3], k = 4

Output: 0

Example 3

Input: nums = [3,2], k = 6

Output: 5

Constraints

  • 1 <= nums.length <= 1000
  • 1 <= nums[i] <= 1000
  • 1 <= k <= 100

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