Cod sursa(job #3216078)

Utilizator hhhhhhhAndrei Boaca hhhhhhh Data 15 martie 2024 17:04:31
Problema Infasuratoare convexa Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.58 kb
#include <bits/stdc++.h>

using namespace std;
ifstream fin("infasuratoare.in");
ofstream fout("infasuratoare.out");
typedef long double ld;
const ld INF=2e9;
int n;
struct point
{
    ld x,y;
    bool operator == (point a)
    {
        return x==a.x&&y==a.y;
    }
} v[120005];
point start;
ld aria(point a,point b,point c)
{
    a.x-=c.x;
    a.y-=c.y;
    b.x-=c.x;
    b.y-=c.y;
    return a.x*b.y-a.y*b.x;
}
bool comp(point a,point b)
{
    if(a==start)
        return 1;
    if(b==start)
        return 0;
    ld val=aria(start,a,b);
    if(val==0)
        return a.x<b.x;
    return val>0;
}
int main()
{
    ios_base::sync_with_stdio(false);
    fin.tie(0);
    fin>>n;
    start={INF,INF};
    for(int i=1;i<=n;i++)
    {
        fin>>v[i].x>>v[i].y;
        if(v[i].x<start.x)
            start=v[i];
        else if(v[i].x==start.x)
            start.y=min(start.y,v[i].y);
    }
    sort(v+1,v+n+1,comp);
    vector<point> sol;
    for(int i=1;i<=n;i++)
    {
        if(sol.size()<2)
        {
            sol.push_back(v[i]);
            continue;
        }
        while(sol.size()>=2)
        {
            int lg=sol.size();
            point a=sol[lg-2];
            point b=sol[lg-1];
            point c=v[i];
            if(aria(a,b,c)<0)
                sol.pop_back();
            else
                break;
        }
        sol.push_back(v[i]);
    }
    fout<<sol.size()<<'\n';
    reverse(sol.begin(),sol.end());
    for(auto i:sol)
        fout<<fixed<<setprecision(12)<<i.x<<' '<<i.y<<'\n';
    return 0;
}