Cod sursa(job #2863163)

Utilizator mihneazzzMacovei Daniel mihneazzz Data 6 martie 2022 13:36:48
Problema Infasuratoare convexa Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.03 kb
#include <bits/stdc++.h>
#define N 120005
using namespace std;
ifstream fin("infasuratoare.in");
ofstream fout("infasuratoare.out");
struct punct
{
    double x,y;
};
int n,top;
punct a[N],stv[N];
/**
ABxAC=[(xB-xA)i+(yB-yA)j]x[(xC-xA)i+(yC-yA)j]
(xB-xA)(yC-yA)k-(yB-yA)(xC-xA)k
*/
double produs_vectorial(punct A,punct B,punct C)
{
    return (B.x-A.x)*(C.y-A.y)-(B.y-A.y)*(C.x-A.x);
}
inline bool comp(punct p1,punct p2)
{
    return produs_vectorial(a[1],p1,p2)<0;
}
int main()
{
    int i,poz=1;
    fin>>n;
    for(i=1;i<=n;i++)
        fin>>a[i].x>>a[i].y;
    for(i=2;i<=n;i++)
        if(a[i].x<a[poz].x || a[i].x==a[poz].x && a[i].y<a[poz].y) poz=i;
    swap(a[1],a[poz]);
    sort(a+2,a+n+1,comp);
    stv[1]=a[1];stv[2]=a[2];
    top=2;
    for(i=3;i<=n;i++)
    {
        while(top>=2 && produs_vectorial(stv[top-1],stv[top],a[i])>0) top--;
        stv[++top]=a[i];
    }
    fout<<top<<"\n";
    for(i=top;i>=1;i--)
        fout<<fixed<<setprecision(9)<<stv[i].x<<" "<<stv[i].y<<"\n";
    return 0;
}