Given a circular array C of integers represented
by A
, find the maximum possible sum of a non-empty subarray of
C.
Here, a circular array means the end of the array connects to the
beginning of the array. (Formally, C[i] = A[i]
when 0 <= i <
A.length
, and C[i+A.length] = C[i]
when i >=
0
.)
Also, a subarray may only include each element of the fixed buffer A
at most
once. (Formally, for a subarray C[i], C[i+1], ..., C[j]
, there does not
exist i <= k1, k2 <= j
with k1 % A.length = k2 %
A.length
.)
Example 1:
Input: [1,-2,3,-2] Output: 3 Explanation: Subarray [3] has maximum sum 3
Example 2:
Input: [5,-3,5] Output: 10 Explanation: Subarray [5,5] has maximum sum 5 + 5 = 10
Example 3:
Input: [3,-1,2,-1] Output: 4 Explanation: Subarray [2,-1,3] has maximum sum 2 + (-1) + 3 = 4
Example 4:
Input: [3,-2,2,-3] Output: 3 Explanation: Subarray [3] and [3,-2,2] both have maximum sum 3
Example 5:
Input: [-2,-3,-1] Output: -1 Explanation: Subarray [-1] has maximum sum -1
Note:
-30000 <= A[i] <= 30000
1 <= A.length <= 30000