Maximum Sum Circular Subarray

Medium

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You are given a circular integer array nums of length n, return the maximum possible sum of a non-empty subarray of nums.

A circular array means the end of the array connects to the beginning of the array. Formally, the next element of nums[i] is nums[(i + 1) % n] and the previous element of nums[i] is nums[(i - 1 + n) % n].

A subarray may only include each element of the fixed buffer nums at most once. Formally, for a subarray nums[i], nums[i + 1], ..., nums[j], there does not exist i <= k1, k2 <= j with k1 % n == k2 % n.

Example 1:

Input: nums = [-2,4,-5,4,-5,9,4]

Output: 15

Explanation: Subarray [-2,4,9,4] has maximum sum 15.

Example 2:

Input: nums = [2,3,-4]

Output: 5

Constraints:

  • n == nums.length
  • 1 <= n <= 3 * 10,000
  • -30,000 <= nums[i] <= 30,000


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