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Remove Stones to Minimize the Total

You are given a 0-indexed integer array piles, where piles[i] represents the number of stones in the ith pile, and an integer k.

You are given a 0-indexed integer array piles, where piles[i] represents the number of stones in the ith pile, and an integer k. You should apply the following operation exactly k times:

Notice that you can apply the operation on the same pile more than once.

Return the minimum possible total number of stones remaining after applying the k operations.

floor(x) is the largest integer that is smaller than or equal to x (i.e., rounds x down).

Remove Stones to Minimize the Total diagram

Example 1

Input: piles = [5,4,9], k = 2

Output: 12

Explanation: Steps of a possible scenario are: - Apply the operation on pile 2. The resulting piles are [5,4,5]. - Apply the operation on pile 0. The resulting piles are [3,4,5]. The total number of stones in [3,4,5] is 12.

Example 2

Input: piles = [4,3,6,7], k = 3

Output: 12

Explanation: Steps of a possible scenario are: - Apply the operation on pile 2. The resulting piles are [4,3,3,7]. - Apply the operation on pile 3. The resulting piles are [4,3,3,4]. - Apply the operation on pile 0. The resulting piles are [2,3,3,4]. The total number of stones in [2,3,3,4] is 12.

Constraints

  • 1 <= piles.length <= 10^5
  • 1 <= piles[i] <= 10^4
  • 1 <= k <= 10^5

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