Cod sursa(job #2070914)

Utilizator MaarcellKurt Godel Maarcell Data 20 noiembrie 2017 00:18:08
Problema Infasuratoare convexa Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.03 kb
#include <iostream>
#include <cstdio>
#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);
}

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

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

 
int main(){
    freopen("infasuratoare.in","r",stdin);
    freopen("infasuratoare.out","w",stdout);
    scanf("%d",&N);
 
    int i,ind=1;
    for (i=1; i<=N; i++){
        scanf("%lf %lf",&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--;
    }
 
 
    printf("%d\n",K);
    for (i=1; i<=K; i++)
        printf("%.9lf %.9lf\n", a[st[i]].x, a[st[i]].y);
 
    return 0;
}