You are given an integer n > 0 and k types of bills with denominations d₁ =1, d2,..., dk (each dį is also a positive integer). Provide a dynamic programming algorithmthat computes the minimum number of bills needed to make the amount n. You can assumeyou have infinitely many bills for each type.

Answered: You are given an integer n > 0 and k…

You are given an integer n > 0 and k types of bills with denominations d₁ 1, d2,..., dk (each dį is also a positive integer). Provide a dynamic programming algorithm =

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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Concept explainers

Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.

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You are given an integer n > 0 and k types of bills with denominations d₁ =
1, d2,..., dk (each dį is also a positive integer). Provide a dynamic programming algorithm
that computes the minimum number of bills needed to make the amount n. You can assume
you have infinitely many bills for each type.

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