mediumArraysPattern: Prefix sum and observation
Even Odd Sum Equilibrium Solution
Problem Statement
Given an array of integers `values`, determine the maximum possible sum of elements at even indices such that it equals the sum of elements at odd indices.
Examples
Example 1:
Input:[1, 2, 3, 4, 3, 2, 1]
Output:9
Explanation: The sum of weights at even indices (1 + 3 + 3 + 1) equals the sum of weights at odd indices (2 + 4 + 2), which is 9.
Constraints
- {"name":"weightRange","type":"numeric","min":1,"max":10000,"description":"Range of possible weights"}
- {"name":"arrayLength","type":"numeric","min":1,"max":100,"description":"Length of the input array"}
Time: O(n) Space: O(1)
The optimized approach involves using a prefix sum array to calculate the cumulative sums of weights on even and odd compartments, allowing for a more efficient calculation of the maximum allocatable weight with a time complexity of O(n).
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