mediumRecursionPattern: Mixed
Combinatorial Weight Distribution Solution
Problem Statement
You are given a list of integers representing package weights and a target weight threshold. Generate all distinct subsets of packages that sum up to the target weight.
Constraints
- 1 <= number of crates <= 20
- 1 <= weight of each crate <= 50
- 1 <= target capacity <= 100
Time: O(n*target) Space: O(n*target)
The optimized approach uses a recursive function with backtracking to efficiently generate combinations of crates that sum up to the target capacity, pruning branches that exceed the target capacity. This approach has a time complexity of O(n*target), where n is the number of crates.
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