Imagine an infinitely large array A[0...]. In this array, A[0] = A[1] = and = A[n...
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Imagine an infinitely large array A[0...]. In this array, A[0] = A[1] = and = A[n 1] = 0, == A[n] = A[n+ 1] = A[n+ 2] = = ... = 1. That is, the first n elements of the array are 0 and all subsequent elements are 1. In constant time we can query the array to find the value of an array element A[i]. We do not know the value of n, the index of the first nonzero element. (A) Describe an algorithm to find the value of n. This algorithm should make at most O(logn) queries. (B) Describe an algorithm for finding any index m, where A[m] c> 1. Show that this algorithm requires O(log log n) array queries. (C) Describe an algorithm for finding any m, where A[m] algorithm? = = 1 and m <nº for some constant 1. How fast can you make this Activate Windows Go to Settings to activate W Imagine an infinitely large array A[0...]. In this array, A[0] = A[1] = and = A[n 1] = 0, == A[n] = A[n+ 1] = A[n+ 2] = = ... = 1. That is, the first n elements of the array are 0 and all subsequent elements are 1. In constant time we can query the array to find the value of an array element A[i]. We do not know the value of n, the index of the first nonzero element. (A) Describe an algorithm to find the value of n. This algorithm should make at most O(logn) queries. (B) Describe an algorithm for finding any index m, where A[m] c> 1. Show that this algorithm requires O(log log n) array queries. (C) Describe an algorithm for finding any m, where A[m] algorithm? = = 1 and m <nº for some constant 1. How fast can you make this Activate Windows Go to Settings to activate W
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Answer rating: 100% (QA)
A To find the value of n in Olog n queries you can use a binary search approach Heres how the algorithm works Start with an initial guess for n lets c... View the full answer
Related Book For
Computer Systems A Programmers Perspective
ISBN: 9781292101767
3rd Global Edition
Authors: Randal E. Bryant, David R. O'Hallaron
Posted Date:
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