What is the main idea behind the dynamic programming approach to the Coin Change
Practice Questions
Q1
What is the main idea behind the dynamic programming approach to the Coin Change Problem?
Using a greedy algorithm
Finding the maximum number of coins
Minimizing the number of coins needed to make a certain amount
Sorting the coins
Questions & Step-by-Step Solutions
What is the main idea behind the dynamic programming approach to the Coin Change Problem?
Step 1: Understand the Coin Change Problem. It involves finding the minimum number of coins needed to make a certain amount of money using given coin denominations.
Step 2: Recognize that dynamic programming is a method used to solve problems by breaking them down into simpler subproblems and storing the results of these subproblems to avoid redundant calculations.
Step 3: Identify the base case. For example, if the amount is 0, you need 0 coins.
Step 4: Create an array (or table) to store the minimum number of coins needed for each amount from 0 to the target amount.
Step 5: Fill in the array by iterating through each coin and updating the minimum number of coins needed for each amount that can be formed using that coin.
Step 6: The final value in the array for the target amount will give you the minimum number of coins needed.
