It is Halloween again, and trick or treat is around the corner. You have the following problem to solve: There are a total of numHouses you want to visit, labeled from 0 to numHouses - 1. You are given an array of the ways you can visit them where Visit[i] = [ai, bi] indicates that you must visit house ai first if you want to visit house bi. Return true if you can visit all houses. Otherwise, return false (deadlock). Examples: If numHouses is 2 and Visit={[0,1]} return true If numHouses is 3 and Visit=[[0,1],[1,2], [2,1]} return false (deadlock to visit 2 you have to go first to 1 and to visit 1 you have to go to 2 first). a. Describe using pseudocode an efficient algorithm. How can you model the problem? How do you model the houses, and the (ordered) pairs of Visit? b. Give the time and space complexity. Hint: How would you model the problem? Can you use a graph? 1.)

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
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How would I describe the pseudo code of an optimal algorithm, and how is it modeled including the (ordered) pairs of visit? In additional, what would be the given time and space complexity?

It is Halloween again, and trick or treat is around the corner. You have the following
problem to solve: There are a total of numHouses you want to visit, labeled from 0
to numHouses - 1. You are given an array of the ways you can visit them where
Visit[i] = [ai, bi] indicates that you must visit house ai first if you want to visit house
bi. Return true if you can visit all houses. Otherwise, return false (deadlock).
Examples:
If numHouses is 2 and Visit={[0,1]} return true
If numHouses is 3 and Visit={[0,1],[1,2], [2,1]} return false (deadlock to visit 2
you have to go first to 1 and to visit 1 you have to go to 2 first).
a. Describe using pseudocode an efficient algorithm. How can you model the
problem? How do you model the houses, and the (ordered) pairs of Visit?
b. Give the time and space complexity.
Hint: How would you model the problem? Can you use a graph?
1.)
Transcribed Image Text:It is Halloween again, and trick or treat is around the corner. You have the following problem to solve: There are a total of numHouses you want to visit, labeled from 0 to numHouses - 1. You are given an array of the ways you can visit them where Visit[i] = [ai, bi] indicates that you must visit house ai first if you want to visit house bi. Return true if you can visit all houses. Otherwise, return false (deadlock). Examples: If numHouses is 2 and Visit={[0,1]} return true If numHouses is 3 and Visit={[0,1],[1,2], [2,1]} return false (deadlock to visit 2 you have to go first to 1 and to visit 1 you have to go to 2 first). a. Describe using pseudocode an efficient algorithm. How can you model the problem? How do you model the houses, and the (ordered) pairs of Visit? b. Give the time and space complexity. Hint: How would you model the problem? Can you use a graph? 1.)
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