mediumArraysPattern: Mixed
Maximum Alternate Chest Sum Solution
Problem Statement
You are given a 2D array of integers `chests` where `chests[i]` represents the number of gems in each chest on planet `i`. Find the maximum sum of gems that can be collected by visiting a subsequence of planets, where the gems are collected from every other chest, starting from the first chest on each planet.
Constraints
- 1 <= arr.length <= 10^5
- -10^5 <= arr[i] <= 10^5
Time: O(N) Space: O(1)
The optimized approach utilizes dynamic programming to solve the problem in linear time complexity, O(n). By maintaining two arrays, one for the maximum sum including the current chest and another for the maximum sum excluding the current chest, we can avoid redundant calculations and efficiently compute the maximum sum of gems that can be collected.
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