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MaxSliceSum.md

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Task description

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:

function solution(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).

Elements of input arrays can be modified.

function solution(A) {
    var meh = -2147483648;
    var msf = -2147483648;
    for (var ind in A) {
    	var i = A[ind]
        meh = Math.max(i, meh + i);
        msf = Math.max(msf, meh);
    }
    return parseInt(msf, 10);
}