1. In the activity selection problem, consider a greedy approach which repeatedly selects the last activity to start (of those which are compatible with all previously selected activities) instead of the first activity to finish. Describe how this approach is a greedy algorithm, and show that it yields an optimal solution. You may choose to either (1) show this directly or (2) to show that it is equivalent to the "first activity to start" approach which you can cite as proven based on lecture and the textbook. (This is similar to problem 15.1-2 from CLRS)

1. In the activity selection problem, consider a greedy approach which repeatedly selects the last activity to start (of those which are compatible with all previously selected activities) instead of the first activity to finish. Describe how this approach is a greedy algorithm, and show that it yields an optimal solution. You may choose to either (1) show this directly or (2) to show that it is equivalent to the "first activity to start" approach which you can cite as proven based on lecture and the textbook. (This is similar to problem 15.1-2 from CLRS)

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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A problem with optimization is specified:The input is one instance as a prerequisite.Postconditions: The result is one of the acceptable solutions in this situation, with the best (minimum or maximum, as appropriate) success metric. (The outputted solution need not be original.)
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Correct answer will be upvoted else downvoted. There are n focuses on an endless plane. The I-th point has facilitates (xi,yi) to such an extent that xi>0 and yi>0. The directions are not really integer. In one maneuver you play out the accompanying activities: pick two focuses an and b (a≠b); move point a from (xa,ya) to either (xa+1,ya) or (xa,ya+1); move point b from (xb,yb) to either (xb+1,yb) or (xb,yb+1); eliminate focuses an and b. Notwithstanding, the move must be performed if there exists a line that goes through the new organizes of, another directions of b and (0,0). If not, the move can't be performed and the focuses stay at their unique directions (xa,ya) and (xb,yb), individually. Input The main line contains a solitary integer n (1≤n≤2⋅105) — the number of focuses. The I-th of the following n lines contains four integers ai,bi,ci,di (1≤ai,bi,ci,di≤109). The directions of the I-th point are xi=aibi and yi=cidi. Output :In the primary…
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