Maximum sum increasing subsequence
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  Difficulty: Easy   Marks: 2
     

Given an array A of N positive integers. Find the sum of maximum sum increasing subsequence of the given array.

Input:
The first line of input contains an integer T denoting the number of test cases. The first line of each test case is N(the size of array). The second line of each test case contains array elements.

Output:
For each test case print the required answer in new line.

Constraints:
1 ≤ T ≤ 100
1 ≤ N ≤ 106
1 ≤ Ai ≤ 106

Example:
Input:
2
7
1 101 2 3 100 4 5
4
10 5 4 3

Output:
106
10

Explanation:
Testcase 1: All the increasing subsequences are : (1,101); (1,2,3,100); (1,2,3,4,5). Out of these (1, 2, 3, 100) has maximum sum,i.e., 106.

** For More Input/Output Examples Use 'Expected Output' option **

Author: rajatjha


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