we consider a problem where we are given a set of coins and our task is to form a sum of money n using the coins. The values of the coins are coins = {c1, c2,..., ck}, and each coin can be used as many times we want. What is the minimum number of coins needed? For example, if the coins are the euro coins (in cents) {1,2,5,10,20,50,100,200} and n = 520, we need at least four coins. The optimal solution is to select coins 200+200+100+20 whose sum is 520.

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
icon
Related questions
Question

we consider a problem where we are given a set of coins and
our task is to form a sum of money n using the coins. The values of the coins are
coins = {c1, c2,..., ck}, and each coin can be used as many times we want. What
is the minimum number of coins needed?
For example, if the coins are the euro coins (in cents)
{1,2,5,10,20,50,100,200}
and n = 520, we need at least four coins. The optimal solution is to select coins
200+200+100+20 whose sum is 520.

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Topological Sort
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education