#define _CRT_SECURE_NO_WARNINGS #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; typedef vector vl; typedef pair pll; typedef vector > vpll; typedef vector vs; typedef long double ld; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } const int C = 317; const int circle[C][2] = {{-10,0},{-9,-4},{-9,-3},{-9,-2},{-9,-1},{-9,0},{-9,1},{-9,2},{-9,3},{-9,4},{-8,-6},{-8,-5},{-8,-4},{-8,-3},{-8,-2},{-8,-1},{-8,0},{-8,1},{-8,2},{-8,3},{-8,4},{-8,5},{-8,6},{-7,-7},{-7,-6},{-7,-5},{-7,-4},{-7,-3},{-7,-2},{-7,-1},{-7,0},{-7,1},{-7,2},{-7,3},{-7,4},{-7,5},{-7,6},{-7,7},{-6,-8},{-6,-7},{-6,-6},{-6,-5},{-6,-4},{-6,-3},{-6,-2},{-6,-1},{-6,0},{-6,1},{-6,2},{-6,3},{-6,4},{-6,5},{-6,6},{-6,7},{-6,8},{-5,-8},{-5,-7},{-5,-6},{-5,-5},{-5,-4},{-5,-3},{-5,-2},{-5,-1},{-5,0},{-5,1},{-5,2},{-5,3},{-5,4},{-5,5},{-5,6},{-5,7},{-5,8},{-4,-9},{-4,-8},{-4,-7},{-4,-6},{-4,-5},{-4,-4},{-4,-3},{-4,-2},{-4,-1},{-4,0},{-4,1},{-4,2},{-4,3},{-4,4},{-4,5},{-4,6},{-4,7},{-4,8},{-4,9},{-3,-9},{-3,-8},{-3,-7},{-3,-6},{-3,-5},{-3,-4},{-3,-3},{-3,-2},{-3,-1},{-3,0},{-3,1},{-3,2},{-3,3},{-3,4},{-3,5},{-3,6},{-3,7},{-3,8},{-3,9},{-2,-9},{-2,-8},{-2,-7},{-2,-6},{-2,-5},{-2,-4},{-2,-3},{-2,-2},{-2,-1},{-2,0},{-2,1},{-2,2},{-2,3},{-2,4},{-2,5},{-2,6},{-2,7},{-2,8},{-2,9},{-1,-9},{-1,-8},{-1,-7},{-1,-6},{-1,-5},{-1,-4},{-1,-3},{-1,-2},{-1,-1},{-1,0},{-1,1},{-1,2},{-1,3},{-1,4},{-1,5},{-1,6},{-1,7},{-1,8},{-1,9},{0,-10},{0,-9},{0,-8},{0,-7},{0,-6},{0,-5},{0,-4},{0,-3},{0,-2},{0,-1},{0,0},{0,1},{0,2},{0,3},{0,4},{0,5},{0,6},{0,7},{0,8},{0,9},{0,10},{1,-9},{1,-8},{1,-7},{1,-6},{1,-5},{1,-4},{1,-3},{1,-2},{1,-1},{1,0},{1,1},{1,2},{1,3},{1,4},{1,5},{1,6},{1,7},{1,8},{1,9},{2,-9},{2,-8},{2,-7},{2,-6},{2,-5},{2,-4},{2,-3},{2,-2},{2,-1},{2,0},{2,1},{2,2},{2,3},{2,4},{2,5},{2,6},{2,7},{2,8},{2,9},{3,-9},{3,-8},{3,-7},{3,-6},{3,-5},{3,-4},{3,-3},{3,-2},{3,-1},{3,0},{3,1},{3,2},{3,3},{3,4},{3,5},{3,6},{3,7},{3,8},{3,9},{4,-9},{4,-8},{4,-7},{4,-6},{4,-5},{4,-4},{4,-3},{4,-2},{4,-1},{4,0},{4,1},{4,2},{4,3},{4,4},{4,5},{4,6},{4,7},{4,8},{4,9},{5,-8},{5,-7},{5,-6},{5,-5},{5,-4},{5,-3},{5,-2},{5,-1},{5,0},{5,1},{5,2},{5,3},{5,4},{5,5},{5,6},{5,7},{5,8},{6,-8},{6,-7},{6,-6},{6,-5},{6,-4},{6,-3},{6,-2},{6,-1},{6,0},{6,1},{6,2},{6,3},{6,4},{6,5},{6,6},{6,7},{6,8},{7,-7},{7,-6},{7,-5},{7,-4},{7,-3},{7,-2},{7,-1},{7,0},{7,1},{7,2},{7,3},{7,4},{7,5},{7,6},{7,7},{8,-6},{8,-5},{8,-4},{8,-3},{8,-2},{8,-1},{8,0},{8,1},{8,2},{8,3},{8,4},{8,5},{8,6},{9,-4},{9,-3},{9,-2},{9,-1},{9,0},{9,1},{9,2},{9,3},{9,4},{10,0}}; int sq(int x) { return x*x; } int pack(int y, int x) { return (y + 10011) * 20021 + (x + 10011); } struct P { typedef int T; typedef ll T2; //T2は{a*b | a:T, b:T}を含むタイプ T x, y; P(T x_, T y_): x(x_), y(y_) {} P(): x(0), y(0) {} }; inline bool operator==(const P& a, const P& b) { return a.x == b.x && a.y == b.y; } inline bool operator<(const P& a, const P& b) { return a.x < b.x || (a.x == b.x && a.y < b.y); } inline P operator+(const P& a, const P& b) { return P(a.x+b.x, a.y+b.y); } inline P operator-(const P& a, const P& b) { return P(a.x-b.x, a.y-b.y); } inline P operator-=(P& a, const P& b) { a.x -= b.x, a.y -= b.y ; return a; } inline P::T2 cross(const P& a, const P& b) { return (P::T2)a.x*b.y - (P::T2)a.y*b.x; } inline P::T2 dot(const P& a, const P& b) { return (P::T2)a.x*b.x + (P::T2)a.y*b.y; } inline P::T2 norm(const P& a) { return (P::T2)a.x*a.x + (P::T2)a.y*a.y; } ostream& operator<<(ostream& out, const P& x) { out << "(" << x.x << ", " << x.y << ")"; return out; } struct L { P a, b; L(const P &a_, const P &b_): a(a_), b(b_) {} const P& operator[](size_t i) const { return i ? b : a; } }; inline int ccw(const P& a, const P& b, const P& c) { int ax = b.x - a.x, ay = b.y - a.y, bx = c.x - a.x, by = c.y - a.y; P::T2 t = (P::T2)ax*by - (P::T2)ay*bx; if (t > 0) return 1; if (t < 0) return -1; if((P::T2)ax*bx + (P::T2)ay*by < 0) return +2; if((P::T2)ax*ax + (P::T2)ay*ay < (P::T2)bx*bx + (P::T2)by*by) return -2; return 0; } vector

convex_hull(vector

ps) { int n = ps.size(), k = 0; sort(ps.begin(), ps.end()); vector

ch(2*n); for (int i = 0; i < n; ch[k++] = ps[i++]) // lower-hull while (k >= 2 && ccw(ch[k-2], ch[k-1], ps[i]) <= 0) --k; for (int i = n-2, t = k+1; i >= 0; ch[k++] = ps[i--]) // upper-hull while (k >= t && ccw(ch[k-2], ch[k-1], ps[i]) <= 0) --k; ch.resize(k-1); return ch; } ll convex_diameter(const vector

&pt) { const int n = pt.size(); int is = 0, js = 0; for (int i = 1; i < n; ++i) { if(pt[i].y > pt[is].y) is = i; if(pt[i].y < pt[js].y) js = i; } ll maxd = norm(pt[is]-pt[js]); int i, maxi, j, maxj; i = maxi = is; j = maxj = js; do { if (cross((pt[(i+1)%pt.size()]-pt[i]), (pt[(j+1)%pt.size()]-pt[j])) >= 0) j = (j+1) % n; else i = (i+1) % n; if (norm(pt[i]-pt[j]) > maxd) { maxd = norm(pt[i]-pt[j]); maxi = i; maxj = j; } }while (i != is || j != js); return maxd; } int main() { int N; cin >> N; vector X(N), Y(N); rep(i, N) scanf("%d%d", &X[i], &Y[i]); if(N == 0) { puts("1"); return 0; } unordered_map a; rep(i, N) a.insert(mp(pack(Y[i],X[i]), i)); vector vis(N); ll maxd = 0; vector

points; vi stk; rep(s, N) if(!vis[s]) { stk.clear(); points.clear(); stk.push_back(s); vis[s] = true; // cerr << s << ": " << endl; while(!stk.empty()) { int i = stk.back(); stk.pop_back(); int y0 = Y[i], x0 = X[i]; // cerr << "\t" << i << endl; points.push_back(P(x0, y0)); rep(k, C) { int y = y0 + circle[k][0], x = x0 + circle[k][1]; auto it = a.find(pack(y,x)); if(it != a.end()) { int j = it->second; if(!vis[j]) { stk.push_back(j); vis[j] = true; } a.erase(it); } } } if(points.size() >= 2) { vector

ch = convex_hull(points); ll d = convex_diameter(ch); amax(maxd, d); } } double ans = sqrt(maxd * 1.) + 2; printf("%.10f\n", ans); return 0; }