Search⌘ K
AI Features

Solution: Coin Change

Explore how to solve the coin change problem by finding the minimum coins needed to make a target amount. This lesson guides you through using a top-down dynamic programming approach to optimize time complexity and handle subproblems effectively. Understand base cases, memoization, and recursive strategies to build a robust solution, preparing you for coding interviews focused on optimization 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:

  • 11 \leq coins.length 12\leq 12

  • 11 \leq coins[i] 104\leq 10^4

  • 00 \leq ...