mediumArraysPattern: Alternating sum subarray
Alternating Sum Maximization Solution
Problem Statement
You are given an array of integers `values` where each element represents a fuel efficiency value. Your task is to find the maximum possible sum of alternating fuel efficiencies from the given array.
Examples
Example 1:
Input:[3,-1,2,-4,5]
Output:10
Explanation: To maximize the total fuel efficiency, select the sequence that sums up to the highest positive numbers, in this case, 3 + 2 + 5 = 10.
Example 2:
Input:[1,2,3,4,5]
Output:15
Explanation: The total fuel efficiency is maximized by adding all numbers since they are all positive, 1 + 2 + 3 + 4 + 5 = 15.
Constraints
- The array can be empty
- The shipment efficiencies will always be integers
Time: O(n) Space: O(1)
The optimal approach involves using a single pass through the array to keep track of the maximum sum of an alternating subarray, which can be achieved by maintaining two variables to store the maximum sum ending at the current position with a positive or negative value.
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