#include <bits/stdc++.h>
#define int long long
#define endl '\n'
#define x first
#define y second
using namespace std;
const int N = 5010, M = N*2, mod = 998244353, INF = 0x3f3f3f3f3f3f3f3f,P = 131;
//typedef __int128 LL;
typedef long long LL;
typedef unsigned long long ULL;
typedef pair<int, int> PII;
typedef pair<long long , long long> PLL;
typedef pair<char,int> PCI;
typedef pair<int,char> PIC;
typedef pair<int,pair<int,int>> PIII;
typedef pair<string,int> PSI;
typedef pair<double,double> PDD;
int n,m;
int a[N];
bool f[N][N];
bool st[N][N];
bool st2[N];
void solve()
{
cin>>n;
for (int i=1;i<=n;i++)cin>>a[i];
// vector<vector<bool>> f(n+10,vector<bool>(n+10));
//vector<vector<bool>> st(n+10,vector<bool>(n+10));
for (int i=0;i<=n;i++)
for (int j=0;j<=n;j++)
f[i][j]=st[i][j]=0;
int ans = 0;
f[0][0]=1;
for (int i=1;i<=n;i++)
{
for (int j=0;j<=n;j++)st2[j]=0;
for (int j=0;j<=n;j++)f[i][j]=f[i-1][j];
//vector<bool> st2(n+10);
//f[i]=f[i-1];
int mex = 0;
for (int j=i;j;j--)
{
st2[a[j]]=true;
if(st2[mex])
{
while (st2[mex])mex++;
if(st[j][mex])continue;
st[j][mex]=true;
for (int k=0;k<=j;k++)
if(f[j-1][k])
{
f[i][mex^k]=true;
}
}
}
for (int j=0;j<=i;j++)
if(f[i][j])ans = max(ans,j);
}
cout<<ans<<endl;
}
signed main()
{
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
//init(N-1);
int T=1;
//scanf("%lld",&T);
cin>>T;
while (T--) solve();
return 0;
}
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