Cod sursa(job #1473814)

Utilizator tiby10Tibi P tiby10 Data 20 august 2015 11:54:32
Problema Infasuratoare convexa Scor 0
Compilator cpp Status done
Runda Arhiva educationala Marime 1.38 kb
#include <bits/stdc++.h>
ifstream fin("infasuratoare.in");
ofstream fout("infasuratoare.out");

using namespace std;
typedef pair<double, double> Pair;
#define x first
#define y second
#define NMAX 120005
#define pb push_back
#define pp pop_back
Pair P[NMAX];
vector<int> up;
vector<int> 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 insertUp(int i){
 while(up.size()>=2 && det(up[up.size()-2], up[up.size()-1], i)>0)
    up.pp();
 up.pb(i);
}

void insertDown(int i){
 while(down.size()>=2 && det(down[down.size()-2], down[down.size()-1], i)<0)
    down.pp();
 down.pb(i);
}

void hull(){
 int i;
 for(i=1;i<=n;i++){
    insertUp(i);
    insertDown(i);
 }
 fout<<down.size()-2+up.size()<<'\n';
 for(i=1;i<down.size();i++)
    fout<<fixed<<setprecision(6)<<P[down[i]].x<<" "<<P[down[i]].y<<'\n';
 for(i=up.size()-2; i; i--)
    fout<<fixed<<setprecision(6)<<P[up[i]].x<<" "<<P[up[i]].y<<'\n';
 fout<<fixed<<setprecision(6)<<P[down.front()].x<<" "<<P[down.front()].y;
}

int main() {

    fin>>n;
    int i;
    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;
}