mediumBacktrackingPattern: Mixed
Near-Equal Container Packing Solution
Problem Statement
Given a list of cargo crates with their respective weights and a target number of cargo bays, organize the crates into the bays such that the total weight in each bay is as close to equal as possible, using backtracking to explore all possible configurations.
Constraints
- 1 <= k <= 10
- 1 <= crates.length <= 16
- 1 <= crates[i] <= 100
Time: O(n! * k) Space: O(n * k)
The optimal approach involves using a recursive backtracking algorithm with a threshold for the maximum allowed difference in weight between the bays. The algorithm starts by sorting the crates in descending order of their weights and then tries placing each crate in each bay. If a configuration does not lead to a balanced distribution, the algorithm backtracks and tries a different configuration.
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