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Solution: Coin Change

Explore how to solve the coin change problem using dynamic programming in C++. Learn to break down the problem into subproblems, apply memoization, and optimize for time and space. This lesson helps you understand the approach for computing the minimum number of coins needed to reach a target amount efficiently.

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:

  • 11 \leq coins.length 12\leq 12

  • 11 \leq coins[i] 104\leq 10^4

  • 00 \leq ...