Which dynamic programming approach is used to solve the Knapsack problem?

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Question: Which dynamic programming approach is used to solve the Knapsack problem?

Options:

Correct Answer: Bottom-up approach

Solution:

The Knapsack problem can be solved using a bottom-up dynamic programming approach, which builds up solutions to subproblems.

Which dynamic programming approach is used to solve the Knapsack problem?

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.

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