1962 - Remove Stones to Minimize the Total.

Medium

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

• Choose any piles[i] and remove floor(piles[i] / 2) stones from it.

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

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:

• <code>1 <= piles.length <= 10⁵</code>

• <code>1 <= pilesi<= 10⁴</code>

• <code>1 <= k <= 10⁵</code>