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Cod sursa(job #508233)
#include<stdio.h>
#include<algorithm>
#include<math.h>
using namespace std;
#define nmax 120005
#define INF 2000000000
double X[nmax],Y[nmax];
long double V[nmax];
int PI,IND[nmax], N, ST[nmax];
bool cmp(int i,int j)
{
return (double)(X[i] - X[PI]) * (Y[j] - Y[PI]) < (double)(X[j] - X[PI]) * (Y[i] - Y[PI]);
}
long double semn(int i1,int i2,int i3)
{
return (long double)X[i1] * Y[i2] + X[i2] * Y[i3] + X[i3] * Y[i1] - Y[i1] * X[i2] - Y[i2] * X[i3] - Y[i3] * X[i1];
}
int main()
{
freopen("infasuratoare.in","r",stdin);
freopen("infasuratoare.out","w",stdout);
scanf("%d", &N);
X[0] = INF;Y[0] = INF;
int punct_initial = 0;
for(int i = 1;i <= N; ++i)
{
scanf("%lf %lf", &X[i], &Y[i]);
if (X[i] < X[punct_initial] || (X[i] == X[punct_initial] && Y[i] < Y[punct_initial])) punct_initial = i;
}
PI = punct_initial;
for(int i = 1; i <= N; ++i)
{
if (i == punct_initial) continue;
IND[++IND[0]] = i;
}
sort(IND + 1,IND + IND[0] + 1,cmp);
ST[ST[0] = 1] = punct_initial;
for(int i = 1;i <= IND[0]; ++i)
{
if (IND[i] == punct_initial) continue;
while(ST[0] >= 2 && semn(ST[ST[0] - 1], ST[ST[0]], IND[i]) > 0) ST[0]--;
ST[++ST[0]] = IND[i];
}
ST[++ST[0]] = punct_initial;
printf("%d\n",ST[0] - 1);
reverse(ST + 1, ST + ST[0] + 1);
for(int i = 1;i < ST[0]; ++i)
{
printf("%lf %lf\n", X[ST[i]], Y[ST[i]]);
}
return 0;
}