Solution: Coin Change
Explore the dynamic programming approach to solve the coin change problem by finding the minimum number of coins required to reach a specific total. Understand why greedy solutions fail, and learn to apply top-down memoization methods to optimize performance with clear time and space complexity analysis.
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] -
...