Problem 4. We want to give our dog a collection of treats with total satisfaction value exactly equal to S. For that, we have a collection of n different treats in an array T[1: n] where T[i] is the satisfaction value of the i-th treat (all treats have distinct satisfaction values). Our goal is to give our dog treat satisfaction of exactly S by giving her the smallest possible number of treats or outputting that it is not possible with this collection of treats. Design a dynamic programming algorithm for this problem of outputting the number of treats we should give our dog with worst-case runtime of O(n-S).
Problem 4. We want to give our dog a collection of treats with total satisfaction value exactly equal to S. For that, we have a collection of n different treats in an array T[1: n] where T[i] is the satisfaction value of the i-th treat (all treats have distinct satisfaction values). Our goal is to give our dog treat satisfaction of exactly S by giving her the smallest possible number of treats or outputting that it is not possible with this collection of treats. Design a dynamic programming algorithm for this problem of outputting the number of treats we should give our dog with worst-case runtime of O(n-S).
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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1. Write your specification of recursive formula in plain English,
2. Your recursive solution for the formula and its proof of correctness
3. The
4. The runtime analysis
![Problem 4. We want to give our dog a collection of treats with total satisfaction value exactly equal to S.
For that, we have a collection of n different treats in an array T[1: n] where T[i] is the satisfaction value
of the i-th treat (all treats have distinct satisfaction values). Our goal is to give our dog treat satisfaction
of exactly S by giving her the smallest possible number of treats or outputting that it is not possible with
this collection of treats. Design a dynamic programming algorithm for this problem of outputting the
number of treats we should give our dog with worst-case runtime of O(n-S).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98182d17-9434-4dd7-9261-6c7c628c58da%2F07a11865-87b7-4d52-a08c-db4a56be59ce%2F2gighmh_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 4. We want to give our dog a collection of treats with total satisfaction value exactly equal to S.
For that, we have a collection of n different treats in an array T[1: n] where T[i] is the satisfaction value
of the i-th treat (all treats have distinct satisfaction values). Our goal is to give our dog treat satisfaction
of exactly S by giving her the smallest possible number of treats or outputting that it is not possible with
this collection of treats. Design a dynamic programming algorithm for this problem of outputting the
number of treats we should give our dog with worst-case runtime of O(n-S).
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