Can you solve a knapsack problem example?
Sure! The knapsack problem involves selecting items with given weights and values to maximize value without exceeding capacity. Do you have specific values and weights in mind?
Yes, I have items with weights [2, 3, 4] and values [3, 4, 5]. The capacity is 5. What should I choose?
To maximize value, you should choose the item with weight 2 and value 3, and the item with weight 3 and value 4. This gives you a total value of 7.
What if I had a different capacity, say 6?
With a capacity of 6, you can take the items with weights 2 and 4, which gives you a total value of 8.
Can you explain why that combination works best?
Absolutely! The combination of weights 2 and 4 fits perfectly within the capacity of 6 and maximizes the total value compared to other combinations.
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