// includes #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define FI first #define SE second using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1e9 + 7; // solve template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} typedef struct UnionFind_ { vector par; vector rank_; UnionFind_(int n): rank_(n, 0) { for(int i = 0; i < n; i++)par.push_back(i); } int find(int x) { if(par[x] == x)return x; else return par[x] = find(par[x]); } bool same(int x, int y) { if(find(x) == find(y))return true; else return false; } bool unite(int x, int y){ int xp = find(x); int yp = find(y); if(xp == yp)return false; if(rank_[xp] > rank_[yp])par[yp] = xp; else if(rank_[xp] < rank_[yp])par[xp] = yp; else { par[yp] = xp; rank_[xp]++; } return true; } } UnionFind; map p[20001]; int base = 10000; vector v[120001]; int get(int i, int j){ if(p[i + base].find(j) != p[i + base].end())return p[i + base][j]; return -1; } double cross(const Pd &o, const Pd &a, const Pd &b){ return (a.first - o.first) * (b.second - o.second) - (a.second - o.second) * (b.first - o.first); } vector convex_hull(vector vec){ int n = vec.size(), k = 0; if(n < 3)return vec; vector ch(2 * n); sort(vec.begin(), vec.end()); // lower for(int i = 0; i < n; i++){ while(k >= 2 && cross(ch[k-2], ch[k-1], vec[i]) <= 0.)k--; ch[k++] = vec[i]; } // upper for(int i = n - 1, t = k + 1; i > 0; --i){ while(k >= t && cross(ch[k-2], ch[k-1], vec[i-1]) <= 0.)k--; ch[k++] = vec[i-1]; } ch.resize(k - 1); return ch; } int main(int argc, char const* argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); int n; cin >> n; if(n == 0){ cout << 1 << endl; return 0; } vector x(n), y(n); rep(i, n)cin >> x[i] >> y[i]; rep(i, n){ p[x[i] + base][y[i]] = i; } UnionFind uf(n); rep(i, n){ for(int j = -10; j <= 10; j++){ for(int k = -10; k <= 10; k++){ int in = get(x[i] + j, y[i] + k); if(in >= 0){ if((x[i] - x[in]) * (x[i] - x[in]) + (y[i] - y[in]) * (y[i] - y[in]) > 100)continue; uf.unite(i, in); } } } } double res = 0; rep(i, n){ v[uf.find(i)].pb(i); } for(int i = 0; i < n; i++){ if(uf.find(i) != i)continue; vector vec; for(auto c: v[i]){ vec.pb(mk(x[c], y[c])); } vector ch = convex_hull(vec); rep(j, sz(ch)){ rep(k, sz(ch)){ double x1 = ch[j].first, x2 = ch[k].first; double y1 = ch[j].second, y2 = ch[k].second; res = max(res, (x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2)); } } } cout << setprecision(20); cout << 2. + sqrt(res) << endl; return 0; }