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Minimum Pair Removal to Sort Array II

Given an array nums, you can perform the following operation any number of times: Return the minimum number of operations needed to make the array non-decreasing.

Given an array nums, you can perform the following operation any number of times:

Return the minimum number of operations needed to make the array non-decreasing.

An array is said to be non-decreasing if each element is greater than or equal to its previous element (if it exists).

Minimum Pair Removal to Sort Array II diagram

Example 1

Input: nums = [5,2,3,1]

Output: 2

Explanation: The array nums became non-decreasing in two operations.

Example 2

Input: nums = [1,2,2]

Output: 0

Explanation: The array nums is already sorted.

Constraints

  • 1 <= nums.length <= 10^5
  • -10^9 <= nums[i] <= 10^9

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