Question: Suppose we are given an array [ 1 . . ] with the special property that [ 1 ] > = [ 2 ] and

Suppose we are given an array [1..] with the special property that [1]>=[2] and [1]<=[]. We say that an element [] is a local minimum if it is less than or equal to both its neighbors, or more formally, if [1]>=[] and []<=[+1]. For example there are six local minima in the following array:

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