Answered: Problem 4: Divide and conquer. (i) Let…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Problem 4: Divide and conquer.
(i) Let A be an array containing n different integers. Elements in A are sorted in
increasing order. Given an integer x describe an algorithm which in time O(log n)
finds an index i of x in A, that is, A[i] = x, where the length n of A is unknown
(you may assume that the implementation of an array is such that for A[i], where
i > n, a special character ∞ is returned).
(ii) Let A be an array containing n different integers. Elements in A are not necessary
sorted. Given an integer x describe an algorithm which in time O(n log n) tests
whether there exist two elements u and v in A such that their sum is equal to x, that
is, u + v = x. The length n of A is known.

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