What is the knapsack problem in dynamic programming?
The knapsack problem is a classic optimization problem where you have to maximize the total value of items you can carry in a knapsack without exceeding its weight capacity.
Can you explain the different types of knapsack problems?
Sure! The main types are the 0/1 knapsack, fractional knapsack, and unbounded knapsack. Each has different constraints on how items can be selected.
How do you solve the 0/1 knapsack problem using dynamic programming?
To solve the 0/1 knapsack problem using dynamic programming, you create a table where each cell represents the maximum value that can be achieved with a given weight limit and number of items.
What is the time complexity of the dynamic programming solution?
The time complexity of the dynamic programming solution for the 0/1 knapsack problem is O(n * W), where n is the number of items and W is the maximum weight capacity.
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