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Max sum path in two arrays (Function Problem)
     

Given two arrays, the task is to complete the function max_path_sum that takes 4 argument The first two arguments represent the 2 arrays A[], B[] and the last two arguments l1, l2 denote the size of array A and B respectively. The function returns the sum of the maximum sum path to reach from beginning of any array to end of any of the two arrays .

Note: You can switch from one array to another array only at common elements.

eg
A [ ] = {2,3,7,10,12}
B [ ] = {1 5 7 8}

Here We start from first element of B which is 1, then we move to 5, then 7. From 7, we switch to A (7 is common) and traverse 10 and 12.

Thus The result will be 1+5+7+10+12 =35

Input:
The first line of input contains an integer T denoting the no of test cases . Then T cases follow.
Each test case contains 3 lines. The first line contains two space separated integers l1 and l2 denoting the length of the two sorted array A and B. In the second line is the space separated values of array A and in the third line are space separated values of array B.

Output:
For each test case the output is the max sum obtained in such fashion .

Constraints:
1<=T<=100
1<=N,M<=100
1<=A[],B[]<=1000

Example:
2
5 4
2 3 7 10 12
1 5 7 8 
3 3
1 2 4
1 2 7

Output
35 
10

Explanation
1. For first test case the path will be 1+5+7+10+12 = 35 
2. For second test case the path will be 1+2 +7=10



Note:The Input/Ouput format and Example given are used for system's internal purpose, and should be used by a user for Expected Output only. As it is a function problem, hence a user should not read any input from stdin/console. The task is to complete the function specified, and not to write the full code.

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

Contributor: Amit Khandelwal


					   
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