Which dynamic programming technique is used to solve the Coin Change problem?
Practice Questions
Q1
Which dynamic programming technique is used to solve the Coin Change problem?
Tabulation
Greedy
Backtracking
Brute Force
Questions & Step-by-Step Solutions
Which dynamic programming technique is used to solve the Coin Change problem?
Step 1: Understand the Coin Change problem, which is to find the number of ways to make a certain amount of money using given coin denominations.
Step 2: Identify that dynamic programming is a method used to solve problems by breaking them down into simpler subproblems.
Step 3: Learn about the tabulation technique, which involves creating a table (or array) to store the results of subproblems.
Step 4: Set up a table where each index represents an amount of money, and the value at each index represents the number of ways to make that amount using the coins.
Step 5: Initialize the table with a base case, usually setting the number of ways to make 0 amount as 1 (using no coins).
Step 6: Fill in the table by iterating through each coin and updating the number of ways to make each amount based on previously computed values.
Step 7: The final value in the table will give the total number of ways to make the desired amount using the given coins.