Which dynamic programming approach is used to solve the Knapsack problem?
Practice Questions
Q1
Which dynamic programming approach is used to solve the Knapsack problem?
Top-down approach
Bottom-up approach
Greedy approach
Brute force approach
Questions & Step-by-Step Solutions
Which dynamic programming approach is used to solve the Knapsack problem?
Step 1: Understand the Knapsack problem. It involves selecting items with given weights and values to maximize the total value without exceeding a weight limit.
Step 2: Identify the dynamic programming approach. We will use a bottom-up approach, which means we will start solving smaller problems first.
Step 3: Create a table (array) to store the maximum value for each weight limit from 0 to the maximum weight allowed.
Step 4: Fill the table by iterating through each item and each weight limit, deciding whether to include the item or not based on its weight and value.
Step 5: Use the filled table to find the maximum value that can be achieved with the given weight limit.
