The conversation between human and AI assistant.
Why is the Knapsack problem NP complete even when it has complexity O(nW)?
What makes the Knapsack problem difficult to solve exactly?
The Knapsack problem is difficult to solve exactly because it involves finding the optimal solution among a huge number of possible solutions. As the size of the input increases, the number of possible solutions grows exponentially, making it very hard to find the optimal solution in a reasonable amount of time.