Cod sursa(job #1473853)

Utilizator tiby10Tibi P tiby10 Data 20 august 2015 12:50:03
Problema Infasuratoare convexa Scor 50
Compilator cpp Status done
Runda Arhiva educationala Marime 1.27 kb
#include <bits/stdc++.h>
using namespace std;
ifstream fin("infasuratoare.in");
ofstream fout("infasuratoare.out");

typedef pair<double, double> Pair;
#define x first
#define y second
#define NMAX 120005
#define precizie fixed<<setprecision(12)
Pair P[NMAX];
vector<int> up, down;
int n;

int det(int i1, int i2, int i3){
 int dx1 = P[i2].x-P[i1].x,
     dx2 = P[i3].x-P[i1].x,
     dy1 = P[i2].y-P[i1].y,
     dy2 = P[i3].y-P[i1].y;
 return (1LL*dx1*dy2)-(1LL*dy1*dx2);
}

void hull(){
 int i;
 for(i=1; i<=n; i++){
    while(up.size()>=2 && det(up[up.size()-2], up[up.size()-1], i)>=0)
        up.pop_back();
    up.push_back(i);

    while(down.size()>=2 && det(down[down.size()-2], down[down.size()-1], i)<=0)
        down.pop_back();
    down.push_back(i);
 }

 fout<<down.size()-2+up.size()<<'\n'<<precizie;
 for(i=1;i<down.size();i++)
    fout<<P[down[i]].x<<" "<<P[down[i]].y<<'\n';
 for(i=up.size()-2; i; i--)
    fout<<P[up[i]].x<<" "<<P[up[i]].y<<'\n';
 fout<<P[down.front()].x<<" "<<P[down.front()].y;
}

int main() {

    fin>>n;
    int i,x,y;
    for(i=1;i<=n;i++)
        fin>>P[i].x>>P[i].y;

    sort(P+1,P+n+1,[](Pair a, Pair b){
            return a.x<b.x || (a.x==b.x && a.y<b.y);
         });
    hull();
    return 0;
}