Cod sursa(job #1502353)

Utilizator MaarcellKurt Godel Maarcell Data 14 octombrie 2015 16:30:28
Problema Infasuratoare convexa Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.94 kb
#include <iostream>
#include <fstream>
#include <algorithm>
#include <iomanip>
using namespace std;

struct point{
    double x,y;
};

int N,K,st[120100]; point a[120100];

double area(point A, point B, point C){
    return (A.x*B.y+B.x*C.y+C.x*A.y-B.y*C.x-C.y*A.x-A.y*B.x);
}

inline bool cmp(point A, point B){
    return (area(a[1],A,B)>0);
}

int main(){
    ifstream fin("infasuratoare.in");
    ofstream fout("infasuratoare.out");
    fin >> N;

    int i,ind=1;
    for (i=1; i<=N; i++){
        fin >> a[i].x >> a[i].y;
        if (a[i].x<a[ind].x) ind=i;
    }

    swap(a[1],a[ind]);
    sort(a+2,a+N+1,cmp);
    a[N+1]=a[1];

    K=1,st[1]=1;
    for (i=2; i<=N; i++){
        st[++K]=i;
        while (area(a[st[K-1]],a[st[K]],a[i+1])<0) K--;
    }


    fout << K << "\n";
    for (i=1; i<=K; i++)
        fout << fixed << setprecision(8) << a[st[i]].x << " " << a[st[i]].y << "\n";

    return 0;
}