Monocarp had a sequence a consisting of n + m integers a_1, a_2, ..., a_{n + 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 r_1, r_2, ..., r_n and b_1, b_2, ..., b_m. 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 

$$$f(a) = max(0, a_1, (a_1 + a_2), (a_1 + a_2 + a_3), ..., (a_1 + a_2 + a_3 + ... + a_{n + m}))$$$

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

Input

The first line contains one integer t (1 ≤ t ≤ 1000) — 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 (1 ≤ n ≤ 100).

The second line contains n integers r_1, r_2, ..., r_n (-100 ≤ r_i ≤ 100).

The third line contains one integer m (1 ≤ m ≤ 100).

The fourth line contains m integers b_1, b_2, ..., b_m (-100 ≤ b_i ≤ 100).

Output

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

Example

Input


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


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].
import java.io.*;
import java.util.*;

public class z92 {

    public static void solve(InputReader in, PrintWriter out) throws Exception {

        int t = in.nextInt();
        while(t--!=0){

            int n = in.nextInt();
            int[] arr = new int[n];

            for(int i=0;i<n;i++)
                arr[i]=in.nextInt();

            int m = in.nextInt();
            int[] marr = new int[m];

            for(int i=0;i<m;i++)
                marr[i]= in.nextInt();

            int sum1 = 0;
            int max1 = 0;
            for(int i=0;i<n;i++) {

                sum1 += arr[i];
                if(sum1>max1)
                    max1 = sum1;
            }

            int sum2 = 0;
            int max2= 0;

            for(int i=0;i<m;i++) {
                sum2 += marr[i];

                if (max2<sum2)
                    max2=sum2;
            }
            out.println(max1+max2);
        }


    }

    /////////////////////////////////////////////////////////


    private final static long hash(long x, long y) {
        x += offset;
        y += offset;
        return x << 32 | y;
    }

    private final static int offset = (int) 3e5;

    public static void main(String[] args) throws Exception {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        solve(in, out);
        out.close();
    }

    static class InputReader {
        private BufferedReader reader;
        private StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        private String nextToken() throws IOException {
            while (tokenizer == null || !tokenizer.hasMoreTokens())
                tokenizer = new StringTokenizer(reader.readLine());
            return tokenizer.nextToken();
        }

        public String nextLine() throws IOException {
            return reader.readLine();
        }

        public int nextInt() throws IOException {
            return Integer.parseInt(nextToken());
        }

        public long nextLong() throws IOException {
            return Long.parseLong(nextToken());
        }

        public double nextDouble() throws IOException {
            return Double.parseDouble(nextToken());
        }

    }
}