mediumArraysPattern: Prefix Sum and Cycle Detection
Cyclic Array Maximization Solution
Problem Statement
You are given a circular array of integers `resources` and an integer `missions`, representing the limit of space missions. Find the maximum sum of resources that can be collected by traversing the array in a cyclic manner, where each traversal must start and end at the same index, and the total number of traversals does not exceed `missions`.
Constraints
- {"name":"resources length","type":"integer","min":1,"max":1000}
- {"name":"missions","type":"integer","min":1,"max":7}
- {"name":"resource values","type":"integer","min":-1000,"max":1000}
Time: O(n * missions) Space: O(n)
The optimized approach uses prefix sums and cycle detection to find the maximum resources that can be collected in O(n * missions) time complexity by considering all possible start and end points.
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