#include using namespace std; #define REP(i,a,b) for(i=a;i'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(ll *x){int k,m=0;*x=0;for(;;){mygc(k);if(k=='-'){m=1;break;}if('0'<=k&&k<='9'){*x=k-'0';break;}}for(;;){mygc(k);if(k<'0'||k>'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} int reader(char c[]){int i,s=0;for(;;){mygc(i);if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF) break;}c[s++]=i;for(;;){mygc(i);if(i==' '||i=='\n'||i=='\r'||i=='\t'||i==EOF) break;c[s++]=i;}c[s]='\0';return s;} template void reader(T *x, S *y){reader(x);reader(y);} template void reader(T *x, S *y, U *z){reader(x);reader(y);reader(z);} template void reader(T *x, S *y, U *z, V *w){reader(x);reader(y);reader(z);reader(w);} void writer(int x, char c){int s=0,m=0;char f[10];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(ll x, char c){int s=0,m=0;char f[20];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(const char c[]){int i;for(i=0;c[i]!='\0';i++)mypc(c[i]);} void writer(const char x[], char c){int i;for(i=0;x[i]!='\0';i++)mypc(x[i]);mypc(c);} template void writerLn(T x){writer(x,'\n');} template void writerLn(T x, S y){writer(x,' ');writer(y,'\n');} template void writerLn(T x, S y, U z){writer(x,' ');writer(y,' ');writer(z,'\n');} template void writerArr(T x[], int n){int i;if(!n){mypc('\n');return;}rep(i,n-1)writer(x[i],' ');writer(x[n-1],'\n');} void unionInit(int d[],int s){int i;rep(i,s)d[i]=i;} int unionGet(int d[],int n){int t=n,k;while(d[t]!=t)t=d[t];while(d[n]!=n)k=d[n],d[n]=t,n=k;return n;} int unionConnect(int d[],int a,int b){a=unionGet(d,a);b=unionGet(d,b);if(a==b)return 0;d[a]=b;return 1;} #define EPS 1e-8 #define PI 3.141592653589793238462 #define MAX(a,b) (((a)>(b))?(a):(b)) #define MIN(a,b) (((a)<(b))?(a):(b)) typedef struct struct_point{double x,y;}pnt; typedef struct struct_line{pnt a,b;}line; typedef struct struct_circle{pnt c; double r;}circle; int doubleSign(double a){if(a>EPS) return 1; if(a<-EPS) return -1; return 0;} int doubleSignR(double a,double b){ if(doubleSign(b)!=0 && doubleSign(a/b-1)==0) return 0; return doubleSign(a-b);} int pntSign(pnt a){int i=doubleSign(a.x); if(i) return i; return doubleSign(a.y);} pnt pntPlus(pnt a,pnt b){a.x+=b.x; a.y+=b.y; return a;} pnt pntMinus(pnt a,pnt b){a.x-=b.x; a.y-=b.y; return a;} pnt pntMultiple(pnt a,pnt b){pnt c; c.x=a.x*b.x-a.y*b.y; c.y=a.x*b.y+a.y*b.x; return c;} pnt pntMultipleDouble(pnt a,double k){a.x*=k; a.y*=k; return a;} int pntIsEqual(pnt a,pnt b){return pntSign(pntMinus(a,b))==0;} double pntLength(pnt a){return sqrt(a.x*a.x+a.y*a.y);} double pntLength2(pnt a){return a.x*a.x+a.y*a.y;} double pntDistance(pnt a,pnt b){return pntLength(pntMinus(a,b));} double pntDistance2(pnt a,pnt b){return pntLength2(pntMinus(a,b));} double pntArgument(pnt a){return atan2(a.y,a.x);} pnt pntNormalize(pnt a){double n=pntLength(a); a.x/=n; a.y/=n; return a;} double pntInnerProduct(pnt a,pnt b){return a.x*b.x+a.y*b.y;} double pntOuterProduct(pnt a,pnt b){return a.x*b.y-a.y*b.x;} pnt pntGenerator(double x,double y){pnt res; res.x=x; res.y=y; return res;} line pntToLine(pnt a,pnt b){line res; res.a=a; res.b=b; return res;} circle pntToCircle(pnt c,double r){circle res; res.c=c; res.r=r; return res;} int isPntInCircle(pnt p,circle c){return doubleSign(c.r-pntDistance(p,c.c))+1;} int isPntOnCircle(pnt p,circle c){if(doubleSign(pntDistance(p,c.c)-c.r)==0) return 1; return 0;} /* aがbの厳密に内部なら2 */ int isCircleInCircle(circle a,circle b){return doubleSign(b.r-a.r-pntDistance(a.c,b.c))+1;} pnt pntPolar(double r,double t){pnt a; a.x=r*cos(t); a.y=r*sin(t); return a;} void pntSort(pnt d[],int s){int i,j;pnt k,t;if(s<=1)return;k=pntMultipleDouble(pntPlus(d[0],d[s-1]),1/2.0);i=-1;j=s;for(;;){while(pntSign(pntMinus(d[++i],k))==-1);while(pntSign(pntMinus(d[--j],k))==1);if(i>=j)break;t=d[i];d[i]=d[j];d[j]=t;}pntSort(d,i);pntSort(d+j+1,s-j-1);} /* 点oのまわりに点aをtだけ回転した点を返す */ pnt pntRatation(pnt a,pnt o,double t){ return pntPlus(pntMultiple(pntMinus(a,o),pntPolar(1.0,t)),o); } pnt pntRatationEasy(pnt a,double t){ return pntMultiple(a,pntPolar(1.0,t)); } int N; pnt P[200000]; int ind[200000]; pnt cnv[200000]; int cs; vector p[200000]; pnt c, v; /* 点の進行方向 */ /* 1,-1は符号付き面積の符号と同じ */ /* 2 : c -- a -- b */ /* -2: a -- b -- c */ /* 0 : その他 */ int pntCCW(pnt a,pnt b,pnt c){ double tmp; b=pntMinus(b,a); c=pntMinus(c,a); tmp = pntOuterProduct(b,c); if( doubleSign(tmp) ) return doubleSign( tmp ); if( doubleSign( pntInnerProduct(b,c) ) == -1 ) return 2; if( doubleSign( pntLength(c)-pntLength(b) ) == 1 ) return -2; return 0; } /* convex hull (Andrew's Monotone Chain) */ /* 制約: size >= 3, pはsorted (x座標について) */ /* return 凸包の頂点数 */ /* たぶん,直線上の中点を含まない → pntCCW(res[res_size-2],res[res_size-1],p[i])<=0 */ /* たぶん,直線上の中点を含める → pntCCW(res[res_size-2],res[res_size-1],p[i])==-1 */ int pntConvexHull(pnt p[],int size,pnt res[]){ int i,res_size=0,t; for(i=0;i=2 && pntCCW(res[res_size-2],res[res_size-1],p[i])<=0) res_size--; t=res_size; for(i=size-2;i>=0;res[res_size++]=p[i--]) while(res_size> t && pntCCW(res[res_size-2],res[res_size-1],p[i])<=0) res_size--; return res_size-1; } #define RED 0.985 int main(){ int i, j, k, n; double res, tmp, now, nx; double move, mx; int mind; reader(&N); if(N==0){ puts("1.000"); return 0; } rep(i,N) scanf("%lf%lf",&P[i].x,&P[i].y); rep(i,N) P[i] = pntRatationEasy(P[i], 1); pntSort(P, N); unionInit(ind, N); rep(i,N) REP(j,i+1,N){ if(P[j].x - 10 > P[i].x + EPS) break; if(pntDistance2(P[i],P[j]) <= 100+EPS) unionConnect(ind, i, j); } res = 0; rep(i,N){ j = unionGet(ind,i); p[j].push_back(P[i]); } rep(k,N) if(p[k].size() > 1){ n = 0; rep(i,p[k].size()) P[n++] = p[k][i]; if(n > 4){ cs = pntConvexHull(P, n, cnv); tmp = 0; j = 0; rep(i,cs){ now = pntDistance2(cnv[i], cnv[j]); for(;;){ nx = pntDistance2(cnv[i], cnv[(j+1)%cs]); if(nx > now) now = nx, j = (j+1)%cs; else break; } tmp = max(tmp, now); } } else { tmp = 0; rep(i,n) REP(j,i+1,n) tmp = max(tmp, pntDistance2(P[i],P[j])); } tmp = sqrt(tmp); res = max(res, tmp); } res += 2; printf("%.10f\n",res); return 0; }