Given a variety of coin types defining a currency system, find the minimum number of coins required to express a given amount of money. Assume an infinite supply of coins of every type. (Solution)

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Accepted Answer

The minimum number of coins required to express a given amount of money is calculated using a dynamic programming approach.

Use dynamic programming to calculate the minimum number of coins required for each amount from 1 to the given amount.
Start with the base case of 0 coins required for amount 0, then iterate through each coin type to calculate the minimum coins required for each amount.
Choose the minimum of the current minimum coins required and the minimum coins required for the current amount minus the value of the current coin type plus 1.
Repeat this process for all coin types and amounts to find the final minimum number of coins required for the given amount.

Given a variety of coin types defining a currency system, find the minimum number of coins required to express a given amount of money. Assume an infinite supply of coins of every type. (Solution)

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