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Cod sursa(job #690068)
#include <fstream>
#include <iomanip>
#include <algorithm>
#define nmax 120002
using namespace std;
ifstream in("infasuratoare.in");
ofstream out("infasuratoare.out");
struct pct{long double x,y;}V[nmax];
int P[nmax],St[nmax];
int N,start;
class cmp
{
public://return dx1/dy1 < dx2/dy2
inline bool operator()(const int&a,const int&b){return (V[start].x-V[a].x)*(V[start].y-V[b].y)<(V[start].x-V[b].x)*(V[start].y-V[a].y);}
};
inline long double semn(int a,int b,int c)//determinantul caracteristic triunghiului
{
return (long double)(V[a].x*V[b].y+V[b].x*V[c].y+V[a].y*V[c].x-V[c].x*V[b].y-V[c].y*V[a].x-V[b].x*V[a].y);
}
int main()
{
int i,k=0;
in>>N;
start = 1;
for(i=1;i<=N;i++)
{
in>>V[i].x>>V[i].y;
if((V[i].x<V[start].x)||(V[i].x==V[start].x&&V[i].y<V[start].y))
start = i;
}
for(i=1;i<=N;i++)
if(i!=start)P[++k]=i;
sort(P+1,P+N,cmp());
//pun in stiva nodul de start
St[++St[0]] = start;
for(i=1;i<N;i++)
{
while(St[0]>=2&&semn(St[St[0]-1],St[St[0]],P[i])>0)St[0]--;//cat timp am cel putin 2 puncte si determinantul este pozitiv
St[++St[0]] = P[i];
}
out<<fixed<<setprecision(6);
out<<St[0]<<'\n';
for(i=St[0];i;i--)out<<V[St[i]].x<<' '<<V[St[i]].y<<'\n';
return 0;
}