mediumArraysPattern: Mixed
Subsequence Sum Threshold Solution
Problem Statement
You are given an array of integers `readings` and two integers `threshold` and `min_length`. Find the maximum sum of a subsequence in `readings` that does not exceed `max_length` elements, where `max_length` is 50, and contains at least `min_length` elements greater than `threshold`, where `threshold` is 200 and `min_length` is 10.
Examples
Example 1:
Input:{"name":"readings","value":[100,150,200,250,300],"threshold":200,"min_length":2,"max_length":4}
Output:750
Explanation: The maximum sum of a subsequence from [100,150,200,250,300] is achieved by selecting [250, 300, 200] with a sum of 750.
Example 2:
Input:{"name":"readings","value":[50,100,150,200,250,300],"threshold":200,"min_length":2,"max_length":5}
Output:800
Explanation: The correct maximum sum of a subsequence is indeed 800 for the selected subsequence [250, 300, 250].
Constraints
- The length of the input array will not exceed 1000.
- The values in the input array will be between 0 and 1000.
Time: O(n) Space: O(1)
The optimized approach utilizes a sliding window technique, tracking the sum of the current subsequence and adjusting the window boundaries as necessary. This approach maintains a running sum and resets it when the subsequence exceeds the given constraints, resulting in a more efficient solution.
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