#include <bits/stdc++.h>
using namespace std;
#define file "o"
#define ff(i, a, b) for(auto i=(a); i<=(b); ++i)
#define ffr(i, b, a) for(auto i=(b); i>=(a); --i)
#define nl "\n"
#define ss " "
#define pb emplace_back
#define fi first
#define se second
#define sz(s) (int)s.size()
#define all(s) (s).begin(), (s).end()
#define ms(a,x) memset(a, x, sizeof (a))
#define cn continue
#define re exit(0)
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll ran(ll l, ll r)
{
return uniform_int_distribution<ll> (l, r)(rng);
}
inline void rf()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
if(fopen(file".inp","r"))
{
freopen(file".inp","r",stdin);
freopen(file".out","w",stdout);
}
}
const int mod=998244353;
const int maxn=3e5+15;
const ll inf=1e18;
template<typename T> inline void add(T &x, const T &y)
{
x+=y;
if(x>=mod) x-=mod;
if(x<0) x+=mod;
}
template<typename T> inline bool maxi(T &a, T b)
{
if(a>=b) return 0;
a=b; return 1;
}
template<typename T> inline bool mini(T &a, T b)
{
if(a<=b) return 0;
a=b; return 1;
}
int n, h[maxn], l[maxn], r[maxn];
void solve()
{
cin>>n;
ff(i, 0, n-1) cin>>h[i];
ff(i, 0, n-1)
{
r[i]=0; l[i]=0;
ff(step, 1, n-1)
{
int cur=(i+step)%n, pre=(cur-1+n)%n, nxt;
r[cur]=max(r[pre], h[pre]);
cur=(i-step+n)%n, nxt=(cur+1)%n;
l[cur]=max(l[nxt], h[cur]);
}
ll sum=0;
ff(j, 0, n-1) sum+=min(l[j], r[j]);
cout<<sum<<ss;
}
cout<<nl;
}
signed main()
{
rf();
int tt; cin>>tt;
while(tt--) solve();
re;
}
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