hardArraysPattern: Custom
Optimizing Space Station Supplies Solution
Problem Statement
In a space station, there are crates of supplies with varying weights. The space station can perform at most 8 adjustments on these crates, where each adjustment either increases or decreases the weight of a crate by 1 unit. Determine the maximum total weight of supplies that can be stored in a cargo bay by selecting a subarray of crates after performing the adjustments.
Examples
Example 1:
Input:{"weights":[12,-7815,-20419,-3],"adjustments":8}
Output:48
Explanation: The maximum sum subarray is achieved by adjusting the weights and selecting the subarray [14, 3, 10, 17] or applying further adjustments to other subarrays.
Example 2:
Input:{"weights":[-5,-2,-86,-310],"adjustments":4}
Output:17
Explanation: The maximum sum subarray is achieved by adjusting the weights and selecting the subarray [8, -2, 11].
Constraints
- 1 <= weights.length <= 1000
- -1000 <= weights[i] <= 1000
- 1 <= adjustments <= 8
- adjustments <= weights.length
Time: O(n * adjustments) Space: O(n)
The optimal approach uses a sliding window with dynamic programming to track the maximum sum of a subarray after applying adjustments, resulting in a time complexity of O(n * adjustments).
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