mediumArraysPattern: Mixed
Alternating Sum Maximization Solution
Problem Statement
Given an array of integers `values`, find the maximum total value that can be obtained by alternating between adding and subtracting consecutive elements. The sequence of additions and subtractions must start with an addition.
Examples
Example 1:
Input:[-12,-34,-5]
Output:6
Explanation: Maximum gain is achieved by selecting positive values and minimizing the negative ones. In this case, we can collect gems with values 2 and 4, resulting in a maximum total value of 6.
Example 2:
Input:[3,-45,-6]
Output:4
Explanation: Maximum gain is achieved by selecting positive values and minimizing the negative ones. In this case, we can collect gems with values 3 and 5, but because the values must alternate between gain and loss, we actually select 3 and 5 to get a maximum total value of 8, but because it alternates, the actual answer would be a combination that alternates, such as 3 then -4 then 5, resulting in a value of 4
Constraints
- 1 <= array length <= 1000
- -1000 <= array element <= 1000
Time: O(N) Space: O(1)
Analyze constraints and compute optimal solutions step-by-step.
Run, Test & Submit Code
Ready to practice this challenge? Launch our interactive compilation environment with compiler validation.
Solve on Interactive WorkspaceTested Solutions
No solution code is currently loaded.
Complete this code in the workspace editor.