Alice and Bob are playing a game. There are two piles of cards. There are N cards in each pile, and each card has a score. They take turns to pick up the top or bottom card from either pile, and the score of the card will be added to his total score. Alice and Bob are both clever enough, and will pick up cards to get as many scores as possible. Do you know how many scores can Alice get if he picks up first?

The first line contains an integer T (T≤), indicating the number of cases.

Each case contains  lines. The first line is the N (N≤). The second line contains N integer ai (≤ai≤). The third line contains N integer bi (≤bi≤).

For each case, output an integer, indicating the most score Alice can get.

 #pragma comment(linker, "/STACK:1024000000,1024000000")

 #include<iostream>

 #include<cstdio>

 #include<cstring>

 #include<cmath>

 #include<math.h>

 #include<algorithm>

 #include<queue>

 #include<set>

 #include<bitset>

 #include<map>

 #include<vector>

 #include<stdlib.h>

 #include <stack>

 using namespace std;

 #define PI acos(-1.0)

 #define ll long long

 #define eps 1e-10

 #define MOD 1000000007

 #define N 26

 #define inf 1e12

 int sum1[],sum2[];

 int a[];

 int b[];

 int dp[][][][];

 int dfs(int l1,int r1,int l2,int r2)

 {

     if(dp[l1][r1][l2][r2]!=-)

        return dp[l1][r1][l2][r2];

     //if(l1>r1 && l2>r2) return dp[l1][r1][l2][r2]=0;

     int sum=;

     int ans=;

     if(l1<=r1)

     {

         sum+=sum1[r1]-sum1[l1-];

     }

     if(l2<=r2)

     {

         sum+=sum2[r2]-sum2[l2-];

     }

     if(l1<=r1)

     {

         ans=max(ans,sum-min(dfs(l1+,r1,l2,r2),dfs(l1,r1-,l2,r2)));

     }

     if(l2<=r2)

     {

         ans=max(ans,sum-min(dfs(l1,r1,l2+,r2),dfs(l1,r1,l2,r2-)));

     }

     return dp[l1][r1][l2][r2]=ans;

 }

 int main()

 {

     int t;

     int n;

     cin>>t;

     while(t--)

     {

         cin>>n;

         sum1[]=sum2[]=;

         for(int i=;i<=n;i++)

         {

             scanf("%d",&a[i]);

             sum1[i]=sum1[i-]+a[i];

         }

         for(int i=;i<=n;i++)

         {

             scanf("%d",&b[i]);

             sum2[i]=sum2[i-]+b[i];

         }

         memset(dp,-,sizeof(dp));

         printf("%d\n",dfs(,n,,n));

     }

     return ;

 }