#include <bits/stdc++.h>

#define ll long long
#define db long double
#define mp make_pair
#define pb push_back

using namespace std;

const db eps = 1e-9;

template<class Type>
struct pt{
    Type x, y, z;
    pt() {}
    pt<Type> (Type x, Type y, Type z): x(x), y(y), z(z) {}
    pt<Type> operator- (const pt<Type> &nxt) const { return pt<Type>(x - nxt.x, y - nxt.y, z - nxt.z); }
    Type operator* (const pt<Type> &nxt) const { return x * nxt.x + y * nxt.y + z * nxt.z; }
    pt<Type> operator% (const pt<Type> &nxt) const { return pt<Type>(y * nxt.z - z * nxt.y, z * nxt.x - x * nxt.z, x * nxt.y - y * nxt.x); }
    operator pt<db>() const { return pt<db>(x, y, z); }
    db len() const {
        return sqrt(x * x + y * y + z * z);
    }
    pt<db> resize(db new_len){
        if (len() < eps) return pt<db>(0, 0, 0);
        db cur_len = len();
        new_len /= cur_len;
        return pt<db>(x * new_len, y * new_len, z * new_len);
    }
};

template<class Type>
struct plane{
    pt<Type> a, b, c;
    plane() {}
    plane(pt<Type>& a, pt<Type>& b, pt<Type>& c): a(a), b(b), c(c) {}
};

template<int SZ>
struct matrix{
    int a[SZ][SZ];

    ll det(){
        vector<int> t(SZ);
        for (int i = 0; i < SZ; i++) t[i] = i;
        ll ans = 0;
        do {
            ll now = 1;
            for (int i = 0; i < SZ; i++) now *= a[i][t[i]];
            for (int i = 0; i < SZ; i++) for (int j = 0; j < i; j++) if (t[i] < t[j]) now *= -1;
            ans += now;
        } while(next_permutation(t.begin(), t.end()));
        return ans;
    }
};

ll calcDirectedVolume(pt<ll>& a, pt<ll>& b, pt<ll>& c, pt<ll>& d){
    pt<ll> w[3] = {b - a, c - a, d - a};
    matrix<3> m;
    for (int i = 0; i < 3; i++){
        m.a[i][0] = w[i].x;
        m.a[i][1] = w[i].y;
        m.a[i][2] = w[i].z;
    }
    return m.det();
}

vector<plane<ll>> slowBuild3DConvexHull(vector<pt<ll>> &a){
    vector<plane<ll>> ans;
    for (int i = 0; i < a.size(); i++) for (int j = i + 1; j < a.size(); j++) for (int k = j + 1; k < a.size(); k++){
        int w[3] = {0, 0, 0};
        for (int s = 0; s < a.size(); s++){
            ll val = calcDirectedVolume(a[i], a[j], a[k], a[s]);
            if (val > 0) val = 2;
            else if (val == 0) val = 1;
            else val = 0;
            w[val]++;
        }
        if ((w[0] > 0) + (int)(w[2] > 0) <= 1) ans.push_back(plane<ll>(a[i], a[j], a[k]));
    }
    return ans;
}

bool wasEdge[1001][1001];

vector<plane<ll>> build3DConvexHull(vector<pt<ll>> &a){
    vector<tuple<int, int, int>> pl;

    for (int i = 0; i < 4; i++) for (int j = i + 1; j < 4; j++) for (int k = j + 1; k < 4; k++){
        int last = (0 ^ 1 ^ 2 ^ 3) ^ (i ^ j ^ k);
        if (calcDirectedVolume(a[i], a[j], a[k], a[last]) > 0){
            pl.push_back(make_tuple(i, k, j));
        } else {
            pl.push_back(make_tuple(i, j, k));
        }
    }

    for (int i = 4; i < a.size(); i++){
        vector<int> rem;
        for (int j = (int)pl.size() - 1; j >= 0; j--){
            int w[3] = { get<0>(pl[j]), get<1>(pl[j]), get<2>(pl[j]) };
            if (calcDirectedVolume(a[w[0]], a[w[1]], a[w[2]], a[i]) > 0){
                rem.push_back(j);
                wasEdge[w[0]][w[1]] = 1;
                wasEdge[w[1]][w[2]] = 1;
                wasEdge[w[2]][w[0]] = 1;
            }
        }
        if (rem.size() == 0) continue;
        for (int v : rem){
            int w[3] = { get<0>(pl[v]), get<1>(pl[v]), get<2>(pl[v]) };
            for (int j = 0; j < 3; j++){
                int k = j == 2 ? 0 : (j + 1);
                if (wasEdge[w[j]][w[k]] + (int)wasEdge[w[k]][w[j]] == 1){
                    pl.push_back(make_tuple(i, w[j], w[k]));
                }
                wasEdge[w[j]][w[k]] = 0;
                wasEdge[w[k]][w[j]] = 0;
            }
            swap(pl[v], pl.back());
            pl.pop_back();
        }
    }

    vector<plane<ll>> ans;
    for (const auto &c : pl) ans.push_back(plane<ll>(a[get<0>(c)], a[get<1>(c)], a[get<2>(c)]));
    return ans;
}

namespace SCP{ //Smallest Circle Problem
    struct pt{
        db x, y;
        pt() {}
        pt(db x, db y): x(x), y(y) {}
        pt operator- (const pt &nxt) const { return pt(x - nxt.x, y - nxt.y); }
        db len(){
            return sqrt(x * x + y * y);
        }
    };

    struct line{
        db a, b, c;
    };

    db getSquare(db r){
        return M_PI * r * r;
    }

    pt getMedian(pt &a, pt &b){
        return pt((a.x + b.x) / 2, (a.y + b.y) / 2);
    }

    pair<pt, db> SCP(pt &a, pt &b){
        return make_pair(getMedian(a, b), (a - b).len() / 2);
    }

    pt intersectLines(line &l1, line &l2){
        if (abs(l1.a * l2.b - l2.a * l1.b) < eps) throw 42;
        db x = (l2.c * l1.b - l1.c * l2.b) / (l1.a * l2.b - l2.a * l1.b);
        db y = (l2.c * l1.a - l1.c * l2.a) / (l1.b * l2.a - l2.b * l1.a);
        return pt(x, y);
    }

    pair<pt, db> SCP(pt &a, pt &b, pt &c){
        pt o1 = getMedian(a, b);
        pt o2 = getMedian(b, c);
        line l1, l2;
        l1.a = (b - a).x; l1.b = (b - a).y; l1.c = -(l1.a * o1.x + l1.b * o1.y);
        l2.a = (b - c).x; l2.b = (b - c).y; l2.c = -(l2.a * o2.x + l2.b * o2.y);
        try {
            pt o = intersectLines(l1, l2);
            return make_pair(o, (o - a).len());
        } catch(...) {
            throw;
        }
    }

    bool inCircle(pt &a, pt &O, db r){
        return (O - a).len() <= r + eps;
    }

    pair<pt, db> recSolve(vector<pt> &a, vector<pt> &b){
        assert(b.size() <= 3);
        if (b.size() == 3){
            auto [O, r] = SCP(b[0], b[1], b[2]);
            bool ok = 1;
            for (auto p : a) if (!inCircle(p, O, r)){
                ok = 0;
                break;
            }
            if (ok) return make_pair(O, r);
            else return make_pair(O, -2);
        } else {
            if (a.size() == 0){
                if (b.size() == 0) return make_pair(pt(0, 0), 0);
                if (b.size() == 1) return make_pair(b[0], 0);
                if (b.size() == 2) return SCP(b[0], b[1]);
            } else {
                pt p = a.back(); a.pop_back();
                auto [O, r] = recSolve(a, b);
                a.push_back(p);
                if (inCircle(p, O, r)) return make_pair(O, r);
                a.pop_back(), b.push_back(p);
                auto res = recSolve(a, b);
                a.push_back(p), b.pop_back();
                return res;
            }
        }
    }

    db solve(vector<pt> &a){
        if (a.size() == 1) return 0;
        random_shuffle(a.begin(), a.end());
        vector<pt> b;
        db ans = recSolve(a, b).second;
        return getSquare(ans);
    }
}

db solve(const vector<pt<db>> &a, const pt<db> &O, const pt<db> &I, const pt<db> &J){
    vector<SCP::pt> b;
    for (int i = 0; i < a.size(); i++){
        b.push_back(SCP::pt(I * (a[i] - O), J * (a[i] - O)));
    }
    return SCP::solve(b);
}

int main(){
#ifdef denisson
    freopen("input.txt", "r", stdin);
#endif
    ios_base::sync_with_stdio(0); cin.tie(0);

    int n;
    vector<pt<ll>> a;

    cin >> n;
    a.resize(n);
    for (int i = 0; i < n; i++) cin >> a[i].x >> a[i].y >> a[i].z;

    auto pl = build3DConvexHull(a);

    db ans = 1e18;

    for (const auto &p : pl){
        vector<pt<db>> pr;
        pt<db> norm = ((p.b - p.a) % (p.c - p.a)).resize(1);
        db height = 0;
        for (int i = 0; i < n; i++){
            auto proj = norm.resize((pt<db>)(a[i] - p.a) * norm);
            pr.push_back((pt<db>)a[i] - proj);
            height = max(height, proj.len());
        }
        ans = min(ans, height * solve(pr, p.a, (p.b - p.a).resize(1), ((pt<db>)(p.b - p.a) % norm).resize(1)));
    }

    cout.precision(10);
    cout << fixed << ans;
}