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[3] Given two sets S₁ and S₂ (cach of size n), and a number x, describe an O(n log n) algorithm for finding whether there exists a pair of elements, one from S₁ and one from S2, that add up to x. (For partial credit, give a (n²) algorithm for this problem.)

[3] Given two sets S₁ and S₂ (cach of size n), and a number x, describe an O(n log n) algorithm for finding whether there exists a pair of elements, one from S₁ and one from S2, that add up to x. (For partial credit, give a (n²) algorithm for this problem.)

Database System Concepts
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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Please write a thorough despripton to answer the question. And do not write any code/pseudocode.

Given two sets \( S_1 \) and \( S_2 \) (each of size \( n \)), and a number \( x \), describe an \( O(n \log n) \) algorithm for finding whether there exists a pair of elements, one from \( S_1 \) and one from \( S_2 \), that add up to \( x \). (For partial credit, give a \( \Theta(n^2) \) algorithm for this problem.)
Transcribed Image Text:Given two sets \( S_1 \) and \( S_2 \) (each of size \( n \)), and a number \( x \), describe an \( O(n \log n) \) algorithm for finding whether there exists a pair of elements, one from \( S_1 \) and one from \( S_2 \), that add up to \( x \). (For partial credit, give a \( \Theta(n^2) \) algorithm for this problem.)
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Please explain in detail as I am very confused....

1. Why do we need to mark a pointer at the starting of both sets? what is use of doing that?

2. what does it mean by "we will loop till both p1 and p2 reaches n"?

3. Which sorting algorithm can we use to answer the question that will give O(n log n)

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