02-greedy

02-greedy

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: s Proving them correct Given a greedy algorithm, how do you show it is optimal? As opposed to other types of algorithms (divide-andconquer , etc.) One common way is to compare the solution given with an optimal solution 6 Making Change 7 Making change: algorithm description The problem: Give back the right amount of change, and… Return the fewest number of coins! Inputs: the dollar-amount to return Also, the set of possible coins. (Do we have half-dollars? That affects the answer we give.) Output: a set of coins 8 Making change: algorithm solution Problem description: providing coin change of a given amount in the fewest number of coins Inputs: the dollar-amount to return. Perhaps the possible set of coins, if it is non-obvious. Output: a set of coins that obtains the desired amount of change in the fewest number of coins Assumptions: If the coins are not stated, then they are the standard quarter, dime, nickel, and penny. All inputs are non-negative, and dollar amounts are ignored....
View Full Document

This note was uploaded on 02/25/2014 for the course CS 4102 taught by Professor Horton during the Spring '10 term at UVA.

Ask a homework question - tutors are online