/* Problem URL: https://codeforces.com/gym/104020/problem/L?mobile=false */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } const int oo = INT32_MAX >> 1; const ll OO = INT64_MAX >> 1; void pre() { } #define TEST 0 struct point { ll x; ll y; ll z; friend istream &operator>>(istream &is, point &a) { is >> a.x >> a.y >> a.z; return is; } bool operator<(point b) const { if (x == b.x) { if (y == b.y) { return z < b.z; } return y < b.y; } return x < b.x; } }; ll sqr(ll x) { return x * x; } long double dis(point a, point b) { ll x = a.x - b.x; ll y = a.y - b.y; ll z = a.z - b.z; return sqrtl(sqr(x) + sqr(y) + sqr(z)); } void solve() { int n; cin >> n; V p(n); cin >> p; sortv(p); long double ans = 1e16; struct compy { bool operator()(point a, point b) const { if (a.y == b.y) { if (a.z == b.z) { return a.x > b.x; } return a.z > b.z; } return a.y > b.y; } }; struct compz { bool operator()(point a, point b) const { if (a.z == b.z) { if (a.x == b.x) { return a.y > b.y; } return a.x > b.x; } return a.z > b.z; } }; set sy; set sz; sy.emplace(p[0]); sz.emplace(p[0]); int cur = 0; nrep(i, 1, n) { while (p[cur].x < p[i].x - ans) { sy.erase(p[cur]); sz.erase(p[cur]); cur++; } auto itr = sy.lower_bound(point(1e9, p[i].y + ans, 1e9)); while (itr != sy.end() && abs(p[i].y - itr->y) <= ans) { rmin(ans, dis(p[i], *itr)); itr++; } itr = sz.lower_bound(point(1e9, 1e9, p[i].z + ans)); while (itr != sz.end() && abs(p[i].z - itr->z) <= ans) { rmin(ans, dis(p[i], *itr)); itr++; } sy.emplace(p[i]); sz.emplace(p[i]); } cout << fixed << setprecision(7) << ans << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }