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< p > You may recall that an array < code > arr< / code > is a < strong > mountain array< / strong > if and only if:< / p >
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< li > < code > arr.length > = 3< / code > < / li >
< li > There exists some index < code > i< / code > (< strong > 0-indexed< / strong > ) with < code > 0 < i < arr.length - 1< / code > such that:
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< li > < code > arr[0] < arr[1] < ... < arr[i - 1] < arr[i]< / code > < / li >
< li > < code > arr[i] > arr[i + 1] > ... > arr[arr.length - 1]< / code > < / li >
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< p > Given an integer array < code > nums< / code > , return < em > the < strong > minimum< / strong > number of elements to remove to make < / em > < code > nums< em > < / em > < / code > < em > < / em > < em > a < strong > mountain array< / strong > .< / em > < / p >
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< p > < strong class = "example" > Example 1:< / strong > < / p >
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< strong > Input:< / strong > nums = [1,3,1]
< strong > Output:< / strong > 0
< strong > Explanation:< / strong > The array itself is a mountain array so we do not need to remove any elements.
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< p > < strong class = "example" > Example 2:< / strong > < / p >
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< strong > Input:< / strong > nums = [2,1,1,5,6,2,3,1]
< strong > Output:< / strong > 3
< strong > Explanation:< / strong > One solution is to remove the elements at indices 0, 1, and 5, making the array nums = [1,5,6,3,1].
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< p > < / p >
< p > < strong > Constraints:< / strong > < / p >
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< li > < code > 3 < = nums.length < = 1000< / code > < / li >
< li > < code > 1 < = nums[i] < = 10< sup > 9< / sup > < / code > < / li >
< li > It is guaranteed that you can make a mountain array out of < code > nums< / code > .< / li >
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