mediumTwo PointersPattern: Comparative

Galactic Cargo Comparison Solution

Problem Statement

In a galactic cargo transportation system, cargo containers of various weights are loaded onto spacecraft. Given a list of cargo container weights, find the maximum number of distinct cargo sets that have the same total weight and contain the same weights, regardless of order. A cargo set is defined as a subset of the given cargo containers with a unique combination of weights.

Examples

Example 1:
Input:[3, 5, 2, 7, 3, 5, 2, 7]
Output:2
Explanation: There are two distinct cargo sets with the same total weight (10) and containing the same weights: [3, 7] and [5, 5].
Example 2:
Input:[10, 20, 30, 10, 20, 30, 40, 50]
Output:1
Explanation: There is one distinct cargo set with the same total weight (60) and containing the same weights: [10, 20, 30].

Constraints

  • 1 <= cargo container weights <= 1000
  • 2 <= number of cargo containers <= 100
  • Duplicate weights are allowed.
Time: O(n) Space: O(n)
An optimized approach would involve using a hashmap to store the frequency of each weight and then applying the two-pointer technique to find matching subarrays with the same sum and elements. This would result in a time complexity of O(n) and a space complexity of O(n).

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