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Red and Blue codeforces problem code

 Problem Statement-

Monocarp had a sequence a consisting of n+m integers a1,a2,,an+m. He painted the elements into two colors, red and blue; n elements were painted red, all other m elements were painted blue.

After painting the elements, he has written two sequences r1,r2,,rn and b1,b2,,bm. The sequence r consisted of all red elements of a in the order they appeared in a; similarly, the sequence b consisted of all blue elements of a in the order they appeared in a as well.

Unfortunately, the original sequence was lost, and Monocarp only has the sequences r and b. He wants to restore the original sequence. In case there are multiple ways to restore it, he wants to choose a way to restore that maximizes the value of

f(a)=max(0,a1,(a1+a2),(a1+a2+a3),,(a1+a2+a3++an+m))

Help Monocarp to calculate the maximum possible value of f(a).

Input

The first line contains one integer t (1t1000) — the number of test cases. Then the test cases follow. Each test case consists of four lines.

The first line of each test case contains one integer n (1n100).

The second line contains n integers r1,r2,,rn (100ri100).

The third line contains one integer m (1m100).

The fourth line contains m integers b1,b2,,bm (100bi100).

Output

For each test case, print one integer — the maximum possible value of f(a).

Example
input
Copy
4
4
6 -5 7 -3
3
2 3 -4
2
1 1
4
10 -3 2 2
5
-1 -2 -3 -4 -5
5
-1 -2 -3 -4 -5
1
0
1
0
output
Copy
13
13
0
0
Note

In the explanations for the sample test cases, red elements are marked as bold.

In the first test case, one of the possible sequences a is [6,2,5,3,7,3,4].

In the second test case, one of the possible sequences a is [10,1,3,1,2,2].

In the third test case, one of the possible sequences a is [1,1,2,3,2,4,5,3,4,5].

In the fourth test case, one of the possible sequences a is [0,0].

Solution-


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