 # Divide & Conquer Algorithm for Finding Anchor (Fixed) Point of Sorted Array

Subject Computer Science Data Structures and Algorithms

## Question

Given a sorted array of distinct integers A[1..n], an index i is called an anchor if A[i]=i. Design a divide-and-conquer algorithm for finding an anchor in A[1..n] if one exists. Your algorithm should run in O(logn) time. Analyze your algorithm to show it is O(logn).

## Solution Preview

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Solving idea – first we verify whether the middle point (regarded as half of the range between the two limits) of the array is an anchor point. If it is, then the algorithm returns it. If it is not, first we check if the value of the middle index is greater than the value residing at the middle index. If yes, then the potential anchor point resides in the upper (right) half of the array....

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