Suppose you open a small shop and can't pay electronically. There are only four kinds of coins in the cashbox: 25 cents, 10 cents, 5 cents and 1 cent. If you are a salesperson and want to change 41 cents for customers, how can you arrange to give customers the right amount of money and the least number of coins? The idea:Take the coin with largest denomination without exceeding the remaining amount of cents, make the locally best choice at each step.

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
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Suppose you open a small shop and can't pay electronically. There are only four kinds of coins in the cashbox: 25 cents, 10 cents, 5 cents and 1 cent. If you are a salesperson and want to change 41 cents for customers, how can you arrange to give customers the right amount of money and the least number of coins?

The idea:Take the coin with largest denomination without exceeding the remaining amount of cents, make the locally best choice at each step.

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