#include "bits/extc++.h"

using namespace std;

template <typename T>
void dbgh(const T& t) {
    cerr << t << endl;
}

template <typename T, typename... U>
void dbgh(const T& t, const U&... u) {
    cerr << t << " | ";
    dbgh(u...);
}

#ifdef DEBUG
#define dbg(...)                                           \
    cerr << "L" << __LINE__ << " [" << #__VA_ARGS__ << "]" \
         << ": ";                                          \
    dbgh(__VA_ARGS__)
#else
#define cerr   \
    if (false) \
    cerr
#define dbg(...)
#endif

#define endl "\n"
#define long int64_t
#define sz(x) int(std::size(x))

void solve() {
    int n;
    cin >> n;
    long arr[n];
    for (auto& a : arr) {
        cin >> a;
    }
    auto cost = [&](int l, int r) -> long {
        return (r - l) * (arr[l] + arr[r]);
    };
    vector<int> st;
    for (int i = 0; i < n; i++) {
        while (sz(st) >= 2) {
            int l = end(st)[-2], m = end(st)[-1], r = i;
            if (cost(l, r) > cost(l, m) + cost(m, r)) {
                st.pop_back();
            } else {
                break;
            }
        }
        st.push_back(i);
    }
    long ans = 0;
    for (int i = 0; i < sz(st) - 1; i++) {
        ans += cost(st[i], st[i + 1]);
    }
    cout << ans << endl;
}

int main() {
    cin.tie(nullptr);
    cin.exceptions(ios::failbit);
    ios_base::sync_with_stdio(false);
    int tcs;
    cin >> tcs;
    while (tcs--) {
        solve();
    }
}