Cod sursa(job #2123069)

Utilizator MarinPeptenaruMarin Vasile Peptenaru MarinPeptenaru Data 5 februarie 2018 19:28:15
Problema Rubarba Scor 30
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.32 kb
#include <bits/stdc++.h>

using namespace std;
ifstream in("rubarba.in");
ofstream out("rubarba.out");
const int nx=100002;
struct punct
{
    int x,y;
};
punct v[nx];
vector < punct > w;
int det (punct a, punct b, punct c)
{
    return a.x*b.y+c.x*a.y+b.x*c.y-b.y*c.x-a.x*c.y-a.y*b.x;
}
bool crit (const punct a, const punct b)
{
    return det(v[1],a,b)>=0;
}
double dist (punct a, punct b)
{
    int x=a.x-b.x;
    int y=a.y-b.y;
    double rez=x*x+y*y;
    return (double)sqrt(rez);
}
int mn;
int xmn,xmx,ymn,ymx;
int n;
int main()
{
    in>>n;
    in>>v[1].x>>v[1].y;
    mn=1;
    for(int i=2; i<=n; i++)
    {
        in>>v[i].x>>v[i].y;
        if(v[i].x<v[mn].x) mn=i;
        else if(v[i].y<v[mn].y) mn=i;
    }
    swap(v[1],v[mn]);
    sort(v+2,v+n+1,crit);
    for(int i=1; i<=n; i++)
    {
        while(w.size()>1 && det(*(w.end()-2),*(w.end()-1),v[i])<0) w.pop_back();
        w.push_back(v[i]);
    }
    xmn=INT_MAX;
    ymn=INT_MAX;
    xmx=INT_MIN;
    ymx=INT_MIN;
    for(vector < punct > :: iterator it=w.begin(); it!=w.end(); it++)
    {
        xmx=max(xmx,it->x);
        ymx=max(ymx,it->y);
        xmn=min(xmn,it->x);
        ymn=min(ymn,it->y);
    }
    out<<fixed<<setprecision(2)<<(double)dist({xmn,ymx},{xmx,ymx})*dist({xmn,ymx},{xmn,ymn});
    return 0;

}