A ski rental agency has n pairs of skis, where the heigh are n skiers who wish to rent skis, where the height of should obtain a pair of skis whose height matches her/l would like to assign skis to skiers so that the sum of the each skier and her/his skis is minimized. Design a gree

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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A ski rental agency has n pairs of skis, where the height of the the ipair of skis is s; . There
are n skiers who wish to rent skis, where the height of the ith skier is. h;. Ideally, each skier
should obtain a pair of skis whose height matches her/his own height as closely as possible. We
would like to assign skis to skiers so that the sum of the absolute differences of the heights of
each skier and her/his skis is minimized. Design a greedy algorithm for the problem. Prove the
correctness of your algorithm.
(Hint: Start with two skis and two skiers. How would you match them? Continue to three skis
and three skiers, and identify a strategy.)
Transcribed Image Text:A ski rental agency has n pairs of skis, where the height of the the ipair of skis is s; . There are n skiers who wish to rent skis, where the height of the ith skier is. h;. Ideally, each skier should obtain a pair of skis whose height matches her/his own height as closely as possible. We would like to assign skis to skiers so that the sum of the absolute differences of the heights of each skier and her/his skis is minimized. Design a greedy algorithm for the problem. Prove the correctness of your algorithm. (Hint: Start with two skis and two skiers. How would you match them? Continue to three skis and three skiers, and identify a strategy.)
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