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Cod sursa(job #553960)
#include <fstream>
#include <algorithm>
#define nmax 120002
using namespace std;
ifstream in("infasurare.in");
ofstream out("infasurare.out");
struct{double x,y;}V[nmax];
int St[nmax],P[nmax],s,N,i,k;
class cmp
{
public: //dx1*dy2<dy1*dx2
inline bool operator()(const int&a,const int &b){return (double)((V[a].x-V[s].x)*(V[b].y-V[s].y))<(double)((V[b].x-V[s].x)*(V[a].y-V[s].y));}
};
inline long double semn(int a,int b,int c)//determinantul caracteristic triunghiului format de cele 3 puncte
{
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()
{
in>>N;
for(i=1;i<=N;i++)
{
in>>V[i].x>>V[i].y;
if(V[i].x<V[s].x||(V[i].x==V[s].x&&V[i].y<V[s].y))
s=i;
if(!s)s=1;
}
k=1;
for(i=1;i<=N;i++)
if(i!=s)P[k++]=i;
sort(P+1,P+N,cmp());
//pe stiva plasez potentialele puncte ale infasurarii convexe
St[++St[0]]=s;
for(i=1;i<N;i++)
{
if(P[i]==s)continue;
while(St[0]>=2&&semn(St[St[0]-1],St[St[0]],P[i])>0)St[0]--;
St[++St[0]]=P[i];
}
out<<St[0]<<'\n';
for(i=St[0];i;--i)out<<V[St[i]].x<<' '<<V[St[i]].y<<'\n';
return 0;
}