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Sliding Window With Duplication
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Sliding Window With Duplication

MediumPython

Problem

Hiver can represent a repeating support schedule as a circular array of workload values. Given the schedule and a window size, find the maximum total workload across any k consecutive positions, allowing the window to wrap from the end back to the beginning.

Treat the circular schedule as nums + nums, but return only windows whose starting positions correspond to the original array. Use a sliding-window technique rather than recomputing every window from scratch.

Formal Specification

Implement max_circular_window(nums, k), where nums is a non-empty list of integers and k is the number of consecutive circular positions. Return an integer representing the largest possible sum of exactly k consecutive values.

Constraints

  • 1 <= len(nums) <= 100,000
  • 1 <= k <= len(nums)
  • -10^9 <= nums[i] <= 10^9
  • The result fits within a signed 64-bit integer

Function Signature

def max_circular_window(nums, k):
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