Imagine you're a robot with a coin dispenser, tasked with giving out change. Your mission: Find the minimum number of coins needed to make up a specific amount, given a set of coin denominations. If it's impossible, you must alert the humans!
We'll use the power of dynamic programming! We'll create a magic array where each position represents the minimum coins needed for that amount. We start small and build our way up, considering each coin type at every step. It's like solving a puzzle, piece by piece!
| Amount |
|---|
| Min Coins |
Step: 0 of 12
Explanation:
The minimum number of coins needed to make up the amount 11 is: