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Cod sursa(job #288393)
#include <stdio.h>
#define nmax 120001
struct punct {double x,y;} a[nmax],pct;
int n,s[nmax],m;
double prod_vec(punct pct, punct a, punct b)
{
return (a.x-pct.x)*(b.y-pct.y) - (b.x-pct.x)*(a.y-pct.y);
}
void swap(punct &x, punct &y)
{
punct aux=x;
x=y;
y=aux;
}
void sort(punct arr[], int beg, int end)
{
if(end>beg+1)
{
punct piv=arr[beg];
int l=beg+1, r=end;
while(l<r)
{
if(prod_vec(pct,arr[l],piv)>0)
l++;
else
swap(arr[l], arr[--r]);
}
swap(arr[--l], arr[beg]);
sort(arr, beg, l);
sort(arr, r, end);
}
}
int main()
{
freopen("infasuratoare.in","r",stdin);
freopen("infasuratoare.out","w",stdout);
scanf("%d",&n);
scanf("%lf %lf",&a[1].x,&a[1].y);
pct=a[1];
int i,j=1;
for(i=2;i<=n;i++)
{
scanf("%lf %lf",&a[i].x,&a[i].y);
if(a[i].y<pct.y || (a[i].y==pct.y && a[i].x<pct.x))
{
pct=a[i];
j=i;
}
}
punct aux=a[1];
a[1]=a[j];
a[j]=aux;
sort(a,2,n+1);
m=2;
s[1]=1;
s[2]=2;
for(i=3;i<=n;i++)
{
while(m>=2 && prod_vec(a[s[m]],a[i],a[s[m-1]])<=0)
m--;
s[++m]=i;
}
printf("%d\n",m);
for(i=1;i<=m;i++)
printf("%lf %lf\n",a[s[i]].x,a[s[i]].y);
fclose(stdout);
return 0;
}