0-1 Knapsack
Detailed guide and Python implementation for the '0-1 Knapsack' problem.
Problem Statement
Write a function knapsack(W, wt, val, n) that finds the maximum value that can be put in a knapsack of capacity W using items with weights wt and values val. You cannot split items; you either take an item or leave it.
- •1 <= n <= 100
- •1 <= W <= 1000
- •1 <= wt[i], val[i] <= 1000
Examples
knapsack(50, [10, 20, 30], [60, 100, 120], 3)
220
By taking items with weight 20 and 30, the total weight is 50, and the value is 100 + 120 = 220.
knapsack(10, [5, 4, 6, 3], [10, 40, 30, 50], 4)
90
By taking items of weight 4 and 3, the total weight is 7, and the value is 40 + 50 = 90.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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