#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>    // 包含 tree、gp_hash_table、cc_hash_table
#include <ext/pb_ds/priority_queue.hpp> // 引入后使用 STL 的堆需要 std::
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
using namespace std;
template<class key, class val = null_type, class cmp = less<>>
using rb_tree = tree<key, val, cmp, rb_tree_tag, tree_order_statistics_node_update>;
template<class key, class cmp = less<>>
using pairing_heap = __gnu_pbds::priority_queue<key, cmp>;
typedef long long ll;
#define int long long
mt19937_64 rd(time(0));

using type = int;
struct point : array<type, 3> {
    point operator * (const point & t) const { return {at(1) * t[2] - at(2) * t[1], at(2) * t[0] - at(0) * t[2], at(0) * t[1] - at(1) * t[0]}; }
    type operator / (const point & t) const { return at(0) * t[0] + at(1) * t[1] + at(2) * t[2]; }
    point & operator += (const point & t) { return at(0) += t[0], at(1) += t[1], at(2) += t[2], *this; }
    point operator + (const point & t) const { return point(*this) += t; }
    point & operator -= (const point & t) { return at(0) -= t[0], at(1) -= t[1], at(2) -= t[2], *this; }
    point operator - (const point & t) const { return point(*this) -= t; }
    point & operator *= (const type & t) { return at(0) *= t, at(1) *= t, at(2) *= t, *this; }
    point operator * (const type & t) const { return point(*this) *= t; }
    point & operator /= (const type & t) { return at(0) /= t, at(1) /= t, at(2) /= t, *this; }
    point operator / (const type & t) const { return point(*this) /= t; }

    void shake(double eps = 1e-10) {
        for (auto & t : *this) {
            t += ((double)rand() / RAND_MAX - 0.5) * eps;
        }
    }
};

struct face {
    array<int, 3> v;
    point p, norm;

    bool above(const point & t) {
        return (t - p) / norm > 0;
    }
};

static vector<face> hull(vector<point> & q, vector<face> res = {}) {
    vector g(q.size(), vector<int>(q.size()));
    res.emplace_back(face{0, 1, 2, q[0], (q[1] - q[0]) * (q[2] - q[0])});
    res.emplace_back(face{2, 1, 0, q[2], (q[1] - q[2]) * (q[0] - q[2])});

    for (int i = 3; i < q.size(); i++) {
        vector<face> nf;
        for (auto & x : res) {
            int t = x.above(q[i]);
            if (!t) nf.emplace_back(x);
            for (int k = 0; k < 3; k++) {
                int a = x.v[k], b = x.v[(k + 1) % 3];
                g[a][b] = t;
            }
        }
        for (auto & x : res) {
            for (int k = 0; k < 3; k++) {
                int a = x.v[k], b = x.v[(k + 1) % 3];
                if (g[a][b] && !g[b][a]) {
                    nf.emplace_back(face{a, b, i, q[a], (q[b] - q[a]) * (q[i] - q[a])});
                }
            }
        }
        swap(res, nf);
    }
    return res;
}

void QAQ() {
    int n;
    cin >> n;

    vector<point> a(n);

    for (int i = 0; i < n; i++) {
        cin >> a[i][0] >> a[i][1] >> a[i][2];
    }

    int ans = 0;

    while (a.size() > 3) {
        shuffle(a.begin(), a.end(), rd);
        vector<int> vis(a.size());
        auto res = hull(a);

        for (auto & x : res) {
            (ans += a[x.v[0]] * a[x.v[1]] / a[x.v[2]]);
            for (auto & idx : x.v) {
                vis[idx] = 1;
            }
        }

        vector<point> ta;
        for (int i = 0; i < a.size(); i++) {
            if (!vis[i]) {
                ta.push_back(a[i]);
            }
        }
        swap(ta, a);
    }

    cout << ans << "\n";
}

signed main() {
    cin.tie(0) -> sync_with_stdio(0);
    cout << fixed << setprecision(3);
    int t = 1;
    cin >> t;

    while (t--) {
        QAQ();
    }
}