A non-empty zero-indexed array A consisting of N integers is given. A pair of integers (P, Q), such that 0 ≤ P ≤ Q < N, is called a slice of array A. The sum of a slice (P, Q) is the total of A[P] + A[P+1] + ... + A[Q].
Write a function:
class Solution { public int solution(int[] A); }
that, given an array A consisting of N integers, returns the maximum sum of any slice of A.
For example, given array A such that:
A[0] = 3 A[1] = 2 A[2] = -6 A[3] = 4 A[4] = 0 the function should return 5 because:
(3, 4) is a slice of A that has sum 4, (2, 2) is a slice of A that has sum −6, (0, 1) is a slice of A that has sum 5, no other slice of A has sum greater than (0, 1). Assume that:
N is an integer within the range [1..1,000,000]; each element of array A is an integer within the range [−1,000,000..1,000,000]; the result will be an integer within the range [−2,147,483,648..2,147,483,647]. Complexity:
expected worst-case time complexity is O(N); expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments).