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Minimum Number of Removals to Make Mountain Array

You may recall that an array arr is a mountain array if and only if: Given an integer array nums​​​, return the minimum number of elements to remove to make nums​​​ a mountain...

You may recall that an array arr is a mountain array if and only if:

Given an integer array nums​​​, return the minimum number of elements to remove to make nums​​​ a mountain array.

Minimum Number of Removals to Make Mountain Array diagram

Example 1

Input: nums = [1,3,1]

Output: 0

Explanation: The array itself is a mountain array so we do not need to remove any elements.

Example 2

Input: nums = [2,1,1,5,6,2,3,1]

Output: 3

Explanation: One solution is to remove the elements at indices 0, 1, and 5, making the array nums = [1,5,6,3,1].

Constraints

  • 3 <= nums.length <= 1000
  • 1 <= nums[i] <= 10^9
  • It is guaranteed that you can make a mountain array out of nums.

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