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We define subsequence as any subset of an array. We define a subarray as a contiguous subsequence in an array.
Given an array, find the maximum possible sum among:
Print the two values as space-separated integers on one line.
Note that empty subarrays/subsequences should not be considered.
For example, given an array , the maximum subarray sum is comprised of element inidices and the sum is . The maximum subsequence sum is comprised of element indices and the sum is .
Complete the maxSubarray function in the editor below. It should return an array of two integers: the maximum subarray sum and the maximum subsequence sum of .
maxSubarray has the following parameter(s):
The first line of input contains a single integer , the number of test cases.
The first line of each test case contains a single integer .
The second line contains space-separated integers where .
The subarray and subsequences you consider should have at least one element.
Print two space-separated integers denoting the maximum sums of nonempty subarrays and nonempty subsequences, respectively.
Sample Input 0
1 2 3 4
2 -1 2 3 4 -5
Sample Output 0
In the first case: The maximum sum for both types of subsequences is just the sum of all the elements since they are all positive.
In the second case: The subarray is the subarray with the maximum sum, and is the subsequence with the maximum sum.
Sample Input 1
-2 -3 -1 -4 -6
Sample Output 1
Since all of the numbers are negative, both the maximum subarray and maximum subsequence sums are made up of one element, .