What is the main idea behind the dynamic programming solution for the coin change problem?
Practice Questions
1 question
Q1
What is the main idea behind the dynamic programming solution for the coin change problem?
Using a greedy algorithm to minimize coins
Finding the maximum number of coins
Calculating the minimum number of coins needed for each amount
Sorting the coins in descending order
The dynamic programming solution for the coin change problem calculates the minimum number of coins needed for each amount up to the target.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the main idea behind the dynamic programming solution for the coin change problem?
Solution: The dynamic programming solution for the coin change problem calculates the minimum number of coins needed for each amount up to the target.
Steps: 7
Step 1: Understand the problem - We want to find the minimum number of coins needed to make a specific amount of money using given coin denominations.
Step 2: Define the target amount - Decide on the total amount of money you want to make with the coins.
Step 3: List the coin denominations - Write down the different types of coins you have available.
Step 4: Create an array to store results - Make an array where each index represents an amount from 0 to the target amount, and initialize it with a large number (like infinity) to represent that those amounts are initially unreachable.
Step 5: Set the base case - Set the value for 0 amount to 0 in the array because no coins are needed to make 0 amount.
Step 6: Fill the array - For each coin, update the array for all amounts that can be reached by adding that coin to previously calculated amounts.
Step 7: Find the result - The value at the index of the target amount in the array will give you the minimum number of coins needed.
