1555_C. Coin Rows_141
Alice and Bob are playing a game on a matrix, consisting of 2 rows and m columns. The cell in the i-th row in the j-th column contains a_{i, j} coins in it.

Initially, both Alice and Bob are standing in a cell (1, 1). They are going to perform a sequence of moves to reach a cell (2, m).

The possible moves are: 

  * Move right — from some cell (x, y) to (x, y + 1); 
  * Move down — from some cell (x, y) to (x + 1, y). 



First, Alice makes all her moves until she reaches (2, m). She collects the coins in all cells she visit (including the starting cell).

When Alice finishes, Bob starts his journey. He also performs the moves to reach (2, m) and collects the coins in all cells that he visited, but Alice didn't.

The score of the game is the total number of coins Bob collects.

Alice wants to minimize the score. Bob wants to maximize the score. What will the score of the game be if both players play optimally?

Input

The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of testcases.

Then the descriptions of t testcases follow.

The first line of the testcase contains a single integer m (1 ≤ m ≤ 10^5) — the number of columns of the matrix.

The i-th of the next 2 lines contain m integers a_{i,1}, a_{i,2}, ..., a_{i,m} (1 ≤ a_{i,j} ≤ 10^4) — the number of coins in the cell in the i-th row in the j-th column of the matrix.

The sum of m over all testcases doesn't exceed 10^5.

Output

For each testcase print a single integer — the score of the game if both players play optimally.

Example

Input


3
3
1 3 7
3 5 1
3
1 3 9
3 5 1
1
4
7


Output


7
8
0

Note

The paths for the testcases are shown on the following pictures. Alice's path is depicted in red and Bob's path is depicted in blue.

<image>
import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.Deque;
import java.util.HashMap;
import java.util.LinkedList;
import java.util.PriorityQueue;
import java.util.Scanner;
import java.util.StringTokenizer;

public class CFPractice {
	
	
	
	static long mod = 998244353;
	
	public static void main(String[] args) {
		
		
		FastScanner sc = new FastScanner();
		PrintWriter out = new PrintWriter(System.out);
		int t = sc.nextInt();
		for(int i = 0; i < t; i++) {
			int m = sc.nextInt();
			int[] up = new int[m];
			int[] down = new int[m];
			long upSum = 0;
			for(int j = 0; j < m; j++) {
				up[j] = sc.nextInt();
				upSum += up[j];
			}
			for(int j = 0; j < m; j++) {
				down[j] = sc.nextInt();
			}
			upSum -= up[0];
			long downSum = 0;
			long min = upSum;
			for(int j = 1; j < m; j++) {
				downSum += down[j - 1];
				upSum -= up[j];
				long score = Math.max(upSum, downSum);
				if(score < min) {
					min = score;
				}
			}
			out.println(min);
		}
		
		out.flush();
		
		
		
	}
	
	
	
	
	
	
	
	
	
	
	
	
	static ArrayList<Long> lcm() {
		long max = 10000_000_000_000_000l;
		ArrayList<Long> output = new ArrayList<Long>();
		long lcm = 1;
		output.add(1l);
		int index = 2;
		while(lcm <= max) {
			long gcd = gcd(index, lcm);
			lcm = lcm * (index/gcd);
			output.add(lcm);
			index++;
		}
		output.add(max + 1);
		return output;
	}
	
	
	static long computeMod(int n) {
		long prod = 1;
		for(int i = 0; i < n; i++) {
			prod *= 2;
			prod = prod % mod;
		}
		return prod;
	}
	
	
	static long gcd(long n, long m) {
		while(n >= 1 && m >= 1) {
			if(n > m) {
				n = n %m;
			}
			else {
				m = m % n;
			}
		}
		return Math.max(m, n);
	}
	
	public static class FastScanner {
		BufferedReader br;
		StringTokenizer st;
 
		public FastScanner(String s) {
			try {
				br = new BufferedReader(new FileReader(s));
			} catch (FileNotFoundException e) {
				// TODO Auto-generated catch block
				e.printStackTrace();
			}
		}
 
		public FastScanner() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}
 
		String nextToken() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					// TODO Auto-generated catch block
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}
 
		int nextInt() {
			return Integer.parseInt(nextToken());
		}
 
		long nextLong() {
			return Long.parseLong(nextToken());
		}
 
		double nextDouble() {
			return Double.parseDouble(nextToken());
		}
	}
	
	
	static class Node{
		
		ArrayList<Node> children = new ArrayList<Node>();
		Node parent;
		ArrayList<Node> nei = new ArrayList<Node>();
		int depth;
		boolean visited;
		int indegree;
		int tempDegree;
		
		
		
		
		
	}


	
			
}
	
	
	
	
	
	
	
		
		
		
		
		
		
		
		
		
		
		
		
	
	
	
	
	
	
	
		
		
		
	
	
	
	
	

	

