Cod sursa(job #1580190)

Utilizator diana-t95FMI Tudoreanu Diana Elena diana-t95 Data 25 ianuarie 2016 17:41:01
Problema Infasuratoare convexa Scor 20
Compilator cpp Status done
Runda Arhiva educationala Marime 1.68 kb
#include <iostream>
#include <fstream>
#include <vector>
#include <algorithm>
using namespace std;
#define maxn 122000
struct point {
    double x, y;
};
int n;
vector<point> pv, sol;
point o;
double det(point p, point q, point r)
{
    return q.x*r.y + r.x*p.y + p.x*q.y - q.y*r.x - r.y*p.x - p.y*q.x;
}
double pow(double v) {
    return v*v;
}
double dist(point a)
{
    return pow(a.x-o.x) + pow(a.y-o.y);
}
bool Compare(point a, point b) {
    return det(o, a, b) > 0 || (det(o, a, b) == 0  && dist(a) < dist(b));
}
bool compMax(point a, point b) {
    if (a.x == b.x)
        return a.y > b.y;
    return a.x > b.x;
}
int main()
{
    ifstream f("infasuratoare.in");
    ofstream g("infasuratoare.out");

    f>>n;
    double x, y, sx = 0, sy = 0;
    point p;
    for (int i = 0; i < n; i++)
    {
        f>>x>>y;
        sx += x;
        sy += y;
        p.x = x;
        p.y = y;
        pv.push_back(p);
    }
    o.x = sx/n;
    o.y = sy/n;

    vector<point>::iterator righty = max_element(pv.begin(), pv.end(), compMax);
    o.x = righty->x;
    o.y = righty->y;
    stable_sort(pv.begin(), pv.end(), Compare);
    //rotate(pv.begin(), righty, pv.end());
    sol.push_back(pv[0]);
    sol.push_back(pv[1]);
    cout<<o.x<< "  "<<o.y<<"\n";
    for (int i = 0;i < pv.size();i ++)
        cout<<pv[i].x<<" "<<pv[i].y<<"\n";

    for (int i = 2; i < n; i++)
    {

        while (sol.size() >=2 && det(sol[sol.size()-2], sol[sol.size()-1], pv[i]) < 0)
            sol.pop_back();
        sol.push_back(pv[i]);
    }
    g<<sol.size()<<'\n';
    for (int i = 0; i < sol.size(); i++)
    {
        g<<sol[i].x<<' '<<sol[i].y<<'\n';
    }

}