maximum-sum-circular-subarray

Maximum Sum Circular Subarray

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maxSubarraySumCircular

Given a circular integer array <code>nums</code> of length <code>n</code>, return the maximum possible sum of a non-empty subarray of <code>nums</code>.

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

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

&nbsp;
Example 1:

<pre>
Input: nums = [1,-2,3,-2]
Output: 3
Explanation: Subarray [3] has maximum sum 3.
</pre>

Example 2:

<pre>
Input: nums = [5,-3,5]
Output: 10
Explanation: Subarray [5,5] has maximum sum 5 + 5 = 10.
</pre>

Example 3:

<pre>
Input: nums = [-3,-2,-3]
Output: -2
Explanation: Subarray [-2] has maximum sum -2.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>n == nums.length</code></li>
	<li><code>1 &lt;= n &lt;= 3 * 104</code></li>
	<li><code>-3 * 104 &lt;= nums[i] &lt;= 3 * 104</code></li>
</ul>

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