What is the Coin Change problem and how can it be solved using a greedy algorithm?

What is the Coin Change problem and how can it be solved using a greedy algorithm?

The Coin Change problem is a classic algorithmic problem that involves finding the minimum number of coins needed to make a given amount of money.

To solve the Coin Change problem using a greedy algorithm, we follow a simple strategy. We start with the largest denomination of coins and repeatedly subtract the largest possible number of coins from the given amount until it becomes zero or cannot be reduced further. This approach is known as the Greedy Coin Change algorithm.

However, the greedy algorithm may not always provide the optimal solution for the Coin Change problem. It can fail in certain scenarios where the denominations of coins do not have a greedy choice property. In such cases, a dynamic programming approach is usually employed to find the optimal solution.