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?
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?
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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For part A, how what would the pseudo-code visually be when trying to visualize an efficient
![**Problem Description:**
It's Halloween, and you need to solve the following problem: You have a total of `numHouses` you want to visit, labeled from 0 to `numHouses - 1`. An array called `Visit` describes how you can visit them, where `Visit[i] = [a_i, b_i]` indicates that you must visit house `a_i` first if you want to visit house `b_i`. The task is to return `true` if you can visit all houses without any issues, and `false` if there is a deadlock (when it's impossible to visit all houses due to cyclic dependencies).
**Examples:**
1. If `numHouses` is 2 and `Visit=[[0,1]]`, return `true`.
2. If `numHouses` is 3 and `Visit=[[0,1], [1,2], [2,1]]`, return `false` (deadlock occurs as visiting house 2 requires visiting house 1, and vice versa).
**Questions:**
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F346b36e0-a4d8-47d7-8bd1-1ad776cb1cf3%2Ff14d2ac4-696c-419f-9a3d-e88d3c5c190b%2Fz8z1ex_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
It's Halloween, and you need to solve the following problem: You have a total of `numHouses` you want to visit, labeled from 0 to `numHouses - 1`. An array called `Visit` describes how you can visit them, where `Visit[i] = [a_i, b_i]` indicates that you must visit house `a_i` first if you want to visit house `b_i`. The task is to return `true` if you can visit all houses without any issues, and `false` if there is a deadlock (when it's impossible to visit all houses due to cyclic dependencies).
**Examples:**
1. If `numHouses` is 2 and `Visit=[[0,1]]`, return `true`.
2. If `numHouses` is 3 and `Visit=[[0,1], [1,2], [2,1]]`, return `false` (deadlock occurs as visiting house 2 requires visiting house 1, and vice versa).
**Questions:**
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?
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