#1671
Minimum Number of Removals to Make Mountain Array
hard · verified · 54.8% accepted · 2,285 likes · top 48%
array · binary search · dynamic programming · greedy
Description
You may recall that an array arr is a mountain array if and only if:
- arr.length >= 3
- There exists some index i (0-indexed) with 0 < i < arr.length - 1 such that:
- arr[0] < arr[1] < ... < arr[i - 1] < arr[i]
- arr[i] > arr[i + 1] > ... > arr[arr.length - 1]
Given an integer array nums, return the minimum number of elements to remove to make nums a mountain array.
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].
Solution