diff --git a/src/main/java/com/thealgorithms/greedyalgorithms/CoinChange.java b/src/main/java/com/thealgorithms/greedyalgorithms/CoinChange.java index 8054581d21d7..5f9f6080d0e1 100644 --- a/src/main/java/com/thealgorithms/greedyalgorithms/CoinChange.java +++ b/src/main/java/com/thealgorithms/greedyalgorithms/CoinChange.java @@ -6,10 +6,30 @@ // Problem Link : https://en.wikipedia.org/wiki/Change-making_problem +/** + * The Coin Change problem finds the minimum number of coins needed + * to make a given amount using a greedy approach. + * + *

Note: This greedy approach works optimally for standard coin systems + * (like Indian currency), but may not work for all arbitrary coin sets. + * For arbitrary denominations, dynamic programming is preferred. + * + * @see Change-making problem + */ public final class CoinChange { private CoinChange() { } - // Function to solve the coin change problem + + /** + * Returns the list of coins used to make the given amount + * using a greedy algorithm with standard denominations. + * + *

Time Complexity: O(n log n) where n is the number of coin denominations + *

Space Complexity: O(n) + * + * @param amount the total amount to make change for + * @return list of coins used to make the amount + */ public static ArrayList coinChangeProblem(int amount) { // Define an array of coin denominations in descending order Integer[] coins = {1, 2, 5, 10, 20, 50, 100, 500, 2000};