Yоu аre given а sоrted аrray A[1,...,n] whоse elements are odd integers (positive and negative), distinct, and in ascending order. Design a Divide & Conquer algorithm to check whether at least one element in the array satisfies A[i] = 2i+5, where i is the index of the ith element in the array. If such an element exists, your algorithm should return “yes”; otherwise, return “no”. You may assume n is a power of 2. Describe your algorithm with words (no pseudocode!), justify its correctness, and state and analyze its runtime.
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