We define a fixed point in a sorted array A of size n to an index i, 0 ≤i≤n-1 such that A[i] = i. Construct an divide-and-conquer algorithm that determines whether an array A of size n has a fixed point. Please note, your algorithm must perform in O(log n). The naive algorithm that performs in O(n) will get zero marks.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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We define a fixed point in a sorted array A of size n to an index i, 0 ≤i≤n-1
such that A[i] = i. Construct an divide-and-conquer algorithm that determines
whether an array A of size n has a fixed point. Please note, your algorithm must
perform in O(log n). The naive algorithm that performs in O(n) will get zero marks.
Transcribed Image Text:We define a fixed point in a sorted array A of size n to an index i, 0 ≤i≤n-1 such that A[i] = i. Construct an divide-and-conquer algorithm that determines whether an array A of size n has a fixed point. Please note, your algorithm must perform in O(log n). The naive algorithm that performs in O(n) will get zero marks.
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