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Cod sursa(job #304058)
#include<cstdio>
#include<math.h>
#include<vector>
#include<cstdlib>
#include<algorithm>
#define EPS 1e-12
using namespace std;
typedef struct{
double x;
double y;
double unghi;
} Punct;
int N;
Punct pmin;
Punct hull[121000];
vector<Punct> S;
int cmpa(const void *a,const void *b){
Punct c=*(Punct *)a;
Punct d=*(Punct *)b;
if(c.unghi<d.unghi) {
return -1;
}
if(c.unghi>d.unghi){
return 1;
}
return 0;
}
int product(Punct A,Punct B,Punct C){
double sum=(B.x-A.x)*(C.y-A.y)-(C.x-A.x)*(B.y-A.y);
if(sum<0) return -1;
else return +1;
}
int main(){
freopen("infasuratoare.in","r",stdin);
freopen("infasuratoare.out","w",stdout);
scanf("%d",&N);
for(int i=1;i<=N;i++){
scanf("%lf %lf",&hull[i].x,&hull[i].y);
if(pmin.y>hull[i].y){
pmin=hull[i];
}else if(pmin.y==hull[i].y){
if(pmin.x<hull[i].x){
pmin=hull[i];
}
}
}
for(int i=1;i<=N;i++){
hull[i].unghi=atan2((hull[i].y)-(pmin.y),(hull[i].x)-(pmin.x));
}
qsort(hull,N+1,sizeof(Punct),cmpa);
S.push_back(hull[1]);
S.push_back(hull[2]);
for(int i=3;i<=N;i++){
while(S.size()>=2 && (product(S[S.size()-2],S[S.size()-1],hull[i])==-1)) S.pop_back();
S.push_back(hull[i]);
}
printf("%ld\n",S.size());
for(int i=0;i<S.size();i++){
printf("%lf %lf\n",S[i].x,S[i].y);
}
return 0;
}