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Shortest Subarray to be Removed to Make Array Sorted

Given an integer array arr, remove a subarray (can be empty) from arr such that the remaining elements in arr are non-decreasing.

Given an integer array arr, remove a subarray (can be empty) from arr such that the remaining elements in arr are non-decreasing.

Return the length of the shortest subarray to remove.

A subarray is a contiguous subsequence of the array.

Shortest Subarray to be Removed to Make Array Sorted diagram

Example 1

Input: arr = [1,2,3,10,4,2,3,5]

Output: 3

Explanation: The shortest subarray we can remove is [10,4,2] of length 3. The remaining elements after that will be [1,2,3,3,5] which are sorted. Another correct solution is to remove the subarray [3,10,4].

Example 2

Input: arr = [5,4,3,2,1]

Output: 4

Explanation: Since the array is strictly decreasing, we can only keep a single element. Therefore we need to remove a subarray of length 4, either [5,4,3,2] or [4,3,2,1].

Example 3

Input: arr = [1,2,3]

Output: 0

Explanation: The array is already non-decreasing. We do not need to remove any elements.

Constraints

  • 1 <= arr.length <= 10^5
  • 0 <= arr[i] <= 10^9

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