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Suppose you are in the middle of a pandemic. Given a list of daily case counts to analyze, one would like to identify periods of high growth in the cases. One way to do is to look at the change in new cases from day to day. For example, suppose we have the following data: (picture)   We would like to identify the period of maximal growth. In the case above, such a period would be from Days 3 through 6, which has net growth of 47 cases.   Give an algorithm in pseudocode that, when given a list of daily "changes" in case rates, identifies the period of maximal growth. Give proofs of correctness and running time for your algorithm.

Suppose you are in the middle of a pandemic. Given a list of daily case counts to analyze, one would like to identify periods of high growth in the cases. One way to do is to look at the change in new cases from day to day. For example, suppose we have the following data: (picture)   We would like to identify the period of maximal growth. In the case above, such a period would be from Days 3 through 6, which has net growth of 47 cases.   Give an algorithm in pseudocode that, when given a list of daily "changes" in case rates, identifies the period of maximal growth. Give proofs of correctness and running time for your algorithm.

Computer Networking: A Top-Down Approach (7th Edition)
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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Weighted Interval Scheduling & Dynamic Programming (Knapsack, Edit Distance)

Suppose you are in the middle of a pandemic.

Given a list of daily case counts to analyze, one would like to identify periods of high growth in the cases.

One way to do is to look at the change in new cases from day to day. For example, suppose we have the following data: (picture)

 

We would like to identify the period of maximal growth. In the case above, such a period would be from Days 3 through 6, which has net growth of 47 cases.

 

Give an algorithm in pseudocode that, when given a list of daily "changes" in case rates, identifies the period of maximal growth. Give proofs of correctness and running time for your algorithm. 

Day 1 2 4 5 6 7 Cases 98 112 67 84 95 91 114 108 Change (Start) 14 -45 17 11 -4 23 -6 3.
Transcribed Image Text:Day 1 2 4 5 6 7 Cases 98 112 67 84 95 91 114 108 Change (Start) 14 -45 17 11 -4 23 -6 3.
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