Solution: Coin Change
Understand the coin change problem and explore dynamic programming techniques to find the minimum number of coins needed to reach a target amount. This lesson covers base cases, recursive memoization, and optimization to improve time complexity from exponential to polynomial, enabling efficient solutions to similar algorithmic problems.
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] -
...