change_greedy


change_greedy, a MATLAB code which uses the greedy method to seek a solution to the change making problem, which tries to match a given amount by selecting coins of various denominations.

If there is a coin of value 1, then there is always at least one solution to the change making problem.

If the coin denominations are ``canonical'', then the greedy method is always guaranteed to come up with a solution, and this solution will involve the fewest possible number of coins.

If the coin denominations are not canonical, then the greedy method may return a solution which does not use the minimum number of coins, or it may fail to find a correct solution at all.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

change_greedy is available in a MATLAB version.

Related Data and Programs:

change_greedy_test

change_diophantine, a MATLAB code which sets up a Diophantine equation to solve the change making problem, which counts the number of ways a given sum can be formed using coins of various denominations.

change_dynamic, a MATLAB code which uses dynamic programming to solve the change making problem, which counts the number of ways a given sum can be formed using coins of various denominations.

change_making, a dataset directory which contains test data for the change making problem;

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Source Code:


Last revised on 19 October 2022.