Solution: Coin Change
Understand how to solve the coin change problem by applying dynamic programming techniques. Learn to break down the problem into subproblems, use memoization to avoid redundant calculations, and determine the minimum number of coins needed to reach a target sum. This lesson guides you through the top-down approach, optimizing time and space complexity while avoiding common pitfalls of naive or greedy methods.
Statement
Given an integer total that represents the target amount of money and a list of integers coins that represents different coin denominations, find the minimum number of coins required to make up the total amount. If it’s impossible to achieve the target amount using the given coins, return -1. If the target amount is 0, return 0.
Note: You can assume that we have an infinite number of each kind of coin.
Constraints:
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coins.length -
coins[i] -
...