Max Non Negative SubArray
Problem Description
Given an array of integers, A of length N, find out the maximum sum sub-array of non negative numbers from A.
The sub-array should be contiguous i.e., a sub-array created by choosing the second and fourth element and skipping the third element is invalid.
Maximum sub-array is defined in terms of the sum of the elements in the sub-array.
Find and return the required subarray.
NOTE:
- If there is a tie, then compare with segment's length and return segment which has maximum length.
- If there is still a tie, then return the segment with minimum starting index.
Problem Constraints
1 <= N <= 105
-109 <= A[i] <= 109
Input Format
The first and the only argument of input contains an integer array A, of length N.
Output Format
Return an array of integers, that is a subarray of A that satisfies the given conditions.
Example Input
Input 1:
A = [1, 2, 5, -7, 2, 3]
Input 2:
A = [10, -1, 2, 3, -4, 100]
Example Output
Output 1:
[1, 2, 5]
Output 2:
[100]
Example Explanation
Explanation 1:
The two sub-arrays are [1, 2, 5] [2, 3]. The answer is [1, 2, 5] as its sum is larger than [2, 3].
Explanation 2:
The three sub-arrays are [10], [2, 3], [100]. The answer is [100] as its sum is larger than the other two.
Solution:
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