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【模板】Graham凸包掃描法

解析:

程式碼:

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define re register
#define gc getchar
#define pc putchar
#define cs const

inline
int getint(){
	re int num;
	re char c;
	re bool f=0;
	while(!isdigit(c=gc()))f^=c=='-';num=c^48;
	while(isdigit(c=gc()))num=(num<<
1)+(num<<3)+(c^48); return f?-num:num; } inline double getdb(){ re double x=0.0,y=1.0; re char c; re bool f=0; while(!isdigit(c=gc()))f^=c=='-'; x=c^48; while(isdigit(c=gc()))x=(x*10)+(c^48); if(c!='.')return f?-x:x; while(isdigit(c=gc()))x+=(y/=10)*(c^48); return f?-x:x; } cs int N=10002; cs double
eps=1e-6; struct Point{ double x,y; Point(double _x=0,double _y=0):x(_x),y(_y){} Point operator+(cs Point &b)cs{return Point(x+b.x,y+b.y);} Point operator-(cs Point &b)cs{return Point(x-b.x,y-b.y);} Point operator*(cs double &b)cs{return Point(x*b,y*b);} double operator*(cs Point &
b)cs{return x*b.y-y*b.x;} double dot()cs{return x*x+y*y;} double dot(cs Point &b)cs{return x*b.x+y*b.y;} friend double cross(cs Point &a,cs Point &b){return a.x*b.y-a.y*b.x;} }O; inline double dist(cs Point &a){ return sqrt(a.dot()); } inline double dist(cs Point &a,cs Point &b){ return sqrt((a-b).dot()); } inline bool cmp1(cs Point &a,cs Point &b){ return fabs(a.x-b.x)<eps?a.y<b.y:a.x<b.x; } inline bool cmp2(cs Point &a,cs Point &b){ return fabs((a-O)*(b-O))>eps?(a-O)*(b-O)>eps:(a-O).dot()<(b-O).dot(); } struct Polygon{ Point p[N]; int n; Polygon convex_hull(){ int m=1; sort(p+1,p+n+1,cmp1); O=p[1]; sort(p+2,p+n+1,cmp2); for(int re i=2;i<=n;++i){ while(m>=2&&cross(p[i]-p[m-1],p[m]-p[m-1])>-eps)--m; p[++m]=p[i]; } n=m; O=Point(); return *this; } double circu(){ double res=0; for(int re i=2;i<=n;++i)res+=dist(p[i],p[i-1]); res+=dist(p[n],p[1]); return res; } }poly; signed main(){ poly.n=getint(); for(int re i=1;i<=poly.n;++i)poly.p[i].x=getdb(),poly.p[i].y=getdb(); printf("%.2f\n",poly.convex_hull().circu()); return 0; }