Cod sursa(job #3316325)

Utilizator CostinGageaGagea Costin CostinGagea Data 18 octombrie 2025 13:26:45
Problema Infasuratoare convexa Scor 70
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.79 kb
#include <fstream>
#include <algorithm>
#include <iomanip>
using namespace std;
ifstream cin("infasuratoare.in");
ofstream cout("infasuratoare.out");
struct ura
{
    double x,y;
    short int poz;
}v[120001];
int st[120001];
bool cmp(ura a, ura b)
{
    if(a.x<b.x)
        return true;
    if(a.x==b.x)
        if(a.y<b.y)
        return true;
    return false;
}
int main()
{
    int n,i,k;
    double xa,xb,ya,yb;
    cin>>n;
    for(i=1;i<=n;i++)
        cin>>v[i].x>>v[i].y;
    sort(v+1,v+n+1,cmp);
    xa=v[1].x;ya=v[1].y;
    xb=v[n].x;yb=v[n].y;
    for(i=2;i<n;i++)
    {
        if(xa*yb+xb*v[i].y+v[i].x*ya-ya*xb-yb*v[i].x-v[i].y*xa<0)
            v[i].poz=-1;
        else
            v[i].poz=1;
    }
    v[n].poz=2;
    k=1;
    st[1]=1;
    for(i=2;i<=n;i++)
    {
        if(v[i].poz==1 or v[i].poz==2)
        {
            xa=v[st[k]].x;ya=v[st[k]].y;
            xb=v[st[k-1]].x;yb=v[st[k-1]].y;
            while(xa*yb+xb*v[i].y+v[i].x*ya-ya*xb-yb*v[i].x-v[i].y*xa<0)
            {
                k--;
                xa=v[st[k]].x;ya=v[st[k]].y;
                xb=v[st[k-1]].x;yb=v[st[k-1]].y;
            }
            k++;
            st[k]=i;
        }
    }
    for(i=n-1;i>=1;i--)
    {
        if(v[i].poz==-1 or v[i].poz==2)
        {
            xa=v[st[k]].x;ya=v[st[k]].y;
            xb=v[st[k-1]].x;yb=v[st[k-1]].y;
            while(xa*yb+xb*v[i].y+v[i].x*ya-ya*xb-yb*v[i].x-v[i].y*xa<0)
            {
                k--;
                xa=v[st[k]].x;ya=v[st[k]].y;
                xb=v[st[k-1]].x;yb=v[st[k-1]].y;
            }
            k++;
            st[k]=i;
        }
    }
    cout<<k<<'\n';
    for(i=k;i>=1;i--)
        cout<<fixed<<setprecision(6)<<v[st[i]].x<<" "<<v[st[i]].y<<'\n';
    return 0;
}