Cod sursa(job #670436)

Utilizator ms-ninjacristescu liviu ms-ninja Data 29 ianuarie 2012 09:24:06
Problema Infasuratoare convexa Scor 20
Compilator cpp Status done
Runda Arhiva educationala Marime 1.2 kb
#include <fstream>
#include <algorithm>
using namespace std;
ifstream fin("infasuratoare.in");
ofstream fout("infasuratoare.out");
#define dim 120005
#define inf 0x3f3f3f3f
#define fs first
#define sc second
pair <double,double>v[dim];
int n, orig=1,ind[dim], st[dim],vf;

inline double panta(int a, int b)
{
	if(v[a].fs==v[b].fs)
		return inf;
	return (v[a].sc-v[b].sc)/(v[a].fs-v[b].fs);
}

struct cmp
{
	bool operator()(const int &a, const int &b)const
	{
		return panta(a,orig)<panta(b,orig);
	}
};

void read()
{
	fin>>n;
	for(int i=1;i<=n;++i)
	{
		fin>>v[i].fs >>v[i].sc;
		if(v[i].fs<v[orig].fs || (v[i].fs==v[orig].fs && v[i].sc<v[orig].sc))
			orig=i;
		ind[i]=i;
	}
}

inline double det(int a, int b, int c)
{
	return (v[b].fs-v[a].fs)*(v[c].sc-v[a].sc)-(v[c].fs-v[a].fs)*(v[b].sc-v[a].sc);
}

void solve()
{
	sort(ind+1,ind+n+1,cmp());
	
	st[++vf]=orig;
	for(int i=1;i<=n;++i)
		if(ind[i]!=orig)
		{
			for(;vf>=2 && det(st[vf-1],st[vf],ind[i])<0;--vf);
			st[++vf]=ind[i];
		}
}
	
void printf()
{
	fout<<vf<<'\n';
	for(int i=1;i<=vf;++i)
		fout<<v[st[i]].fs <<" " <<v[st[i]].sc <<'\n';
}

int main()
{
	read();
	solve();	
	printf();
	return 0;
}