1 //J. Boxes Game-取数博弈-不会,套的板子
2 #include<iostream>
3 #include<algorithm>
4 #include<cstdio>
5 #include<cstring>
6 #include<cmath>
7 using namespace std;
8 const int maxn=1e3+10;
9 int nums[maxn];
10 int dp[maxn][maxn];
11 int main()
12 {
13 int t,n;
14 scanf("%d",&t);
15 while(t--){
16 cin>>n;
17 int sum=0;
18 memset(nums,0,sizeof(nums));
19 memset(dp,0,sizeof(dp));
20 for(int i=0;i<n;++i)
21 {
22 cin>>nums[i];
23 sum+=nums[i];
24 }
25 int len=0;
26 //分n为奇偶分类讨论下初始情况,len是区间[st,en]的长度-1
27 if(n%2==1)
28 {
29 for(int i=0;i<n;++i)
30 dp[i][i]=nums[i];
31 len = 2; //倒数下一轮的区间长度
32 }
33 else
34 {
35 for(int i=0;i<n-1;++i)
36 {
37 dp[i][i+1] = max(nums[i],nums[i+1])-min(nums[i],nums[i+1]);
38 }
39 len =3;
40 }
41 while(len<n)
42 {
43 for(int i=0;i+len<n;++i)
44 {
45 dp[i][i+len]=max(min(nums[i]-nums[i+1]+dp[i+2][i+len],nums[i]-nums[i+len]+dp[i+1][i+len-1]),
46 min(nums[i+len]-nums[i+len-1]+dp[i][i+len-2],nums[i+len]-nums[i]+dp[i+1][i+len-1]));
47 }
48 len+=2;
49 }
50 cout<<(sum+dp[0][n-1])/2-(sum-dp[0][n-1])/2<<endl;
51 }
52 return 0;
53 }