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Suppose you are a cable guy and are sent out for jobs to complete in a single day. Given job ji each has a start time s; and finish time fi. Your goal is to complete the most number of jobs assigned. The only requirement is you are allowed to start a job late by y minutes, (there is no travel time between jobs). Otherwise, there is no allowed overlap. So I can have a job that goes 1pm-1:37pm and start another one that goes from 1:30pm to 2:30pm PART A Create and analyze code for a greedy algorithm that follows the greedy strategy of choosing the job that starts the latest compatible to currently selected jobs. (HINT you can order jobs in order of decreasing start time) Part B Prove that the greedy strategy of choosing the job that starts the latest is possible in an optimal solution. (Greedy choice property)

Suppose you are a cable guy and are sent out for jobs to complete in a single day. Given job ji each has a start time s; and finish time fi. Your goal is to complete the most number of jobs assigned. The only requirement is you are allowed to start a job late by y minutes, (there is no travel time between jobs). Otherwise, there is no allowed overlap. So I can have a job that goes 1pm-1:37pm and start another one that goes from 1:30pm to 2:30pm PART A Create and analyze code for a greedy algorithm that follows the greedy strategy of choosing the job that starts the latest compatible to currently selected jobs. (HINT you can order jobs in order of decreasing start time) Part B Prove that the greedy strategy of choosing the job that starts the latest is possible in an optimal solution. (Greedy choice property)

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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Suppose you are a cable guy and are sent out for jobs to complete in a single day. Given job ji each has a start time s; and finish time fi. Your goal is to complete the most number of jobs assigned. The only requirement is you are allowed to start a job late by y minutes, (there is no travel time between jobs). Otherwise, there is no allowed overlap. So I can have a job that goes 1pm-1:37pm and start another one that goes from 1:30pm to 2:30pm PART A Create and analyze code for a greedy algorithm that follows the greedy strategy of choosing the job that starts the latest compatible to currently selected jobs. (HINT you can order jobs in order of decreasing start time) Part B Prove that the greedy strategy of choosing the job that starts the latest is possible in an optimal solution. (Greedy choice property) Please select file(s) Select file(s)
Transcribed Image Text:Suppose you are a cable guy and are sent out for jobs to complete in a single day. Given job ji each has a start time s; and finish time fi. Your goal is to complete the most number of jobs assigned. The only requirement is you are allowed to start a job late by y minutes, (there is no travel time between jobs). Otherwise, there is no allowed overlap. So I can have a job that goes 1pm-1:37pm and start another one that goes from 1:30pm to 2:30pm PART A Create and analyze code for a greedy algorithm that follows the greedy strategy of choosing the job that starts the latest compatible to currently selected jobs. (HINT you can order jobs in order of decreasing start time) Part B Prove that the greedy strategy of choosing the job that starts the latest is possible in an optimal solution. (Greedy choice property) Please select file(s) Select file(s)
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