Question: (10 pts.) Binary Search Lower Bound. You are given an array A[1,..., n] that is sorted. You are then given an element x and you

(10 pts.) Binary Search Lower Bound. You are given an array

(10 pts.) Binary Search Lower Bound. You are given an array A[1,..., n] that is sorted. You are then given an element x and you want to find its location in A, or report that it does not exist. The binary search algorithm runs in time O(logn). Show that any comparison-based algorithm must take 12(logn) time. By "comparison-based, we mean that it can only access the elements of A by checking if they are above or below a given value

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