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Cod sursa(job #903352)
/***************************************************
* Alex Palcuie
* Romania
* alex [dot] palcuie [at] gmail [dot] com
* http://palcu.blogspot.com/
* 2013
****************************************************/
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <stack>
#include <queue>
#include <bitset>
#include <algorithm>
#include <utility>
#include <iostream>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <iterator>
#include <cstring>
using namespace std;
// Defines
#define NAME(n) #n
#define pr(x) db((x), (#x))
#define prv(v,n) dbv((v), (#v), (n))
#define prw(v) dbw((v), (#v))
#define X first
#define Y second
#define pb push_back
// Helpers
template <typename T>
inline void db(const T x, const char * name){
cerr << name << " = " << x << '\n';
}
template <typename T> inline void dbv(const T * v, const char * name, int n){
fprintf(stderr, "=== %s ===\n", name);
for(int i=0; i<n; i++)
cerr << v[i] << " ";
cerr << '\n';
}
template <typename T> inline void dbs(T x){
cerr << x << ' ';
}
template<typename T>
void dbw(const std::vector<T>& t, const char * name){
fprintf(stderr, "=== %s ===\n", name);
unsigned n = t.size();
for(typename std::vector<T>::size_type i=0; i<n; ++i)
std::cerr << t[i] << ' ';
cerr << '\n';
}
// Structs
typedef pair<double,double> Point;
stack<int> hull;
// Constants
const int N = 120008;
const int INF = 0x3f3f3f3f;
// Globals
int n;
Point v[N];
// Functions
inline double cross_product(Point a, Point b, Point c){
return (b.X - a.X) * (c.Y - a.Y) - (b.Y - a.Y) * (c.X - a.X);
}
inline bool cmp(Point a, Point b){
return cross_product(v[0], a, b) < 0;
}
int main(){
#ifndef ONLINE_JUDGE
freopen("infasuratoare.in","r",stdin);
freopen("infasuratoare.out","w",stdout);
#endif
int i;
scanf("%d", &n);
for(i=0; i<n; i++)
scanf("%lf%lf", &v[i].X, &v[i].Y);
int myPos=0; Point myMin = v[0];
for(i=1; i<n; i++){
if(v[i] < myMin){
myMin = v[i];
myPos = i;
}
}
swap(v[0], v[myPos]);
sort(v+1, v+n, cmp);
hull.push(0); hull.push(1);
for(i=2; i<n; i++){
while(hull.size() >= 2){
int top = hull.top(); hull.pop();
if(cross_product(v[hull.top()], v[top], v[i]) > 0)
continue;
else{
hull.push(top);
hull.push(i);
break;
}
}
}
printf("%d\n", hull.size());
while(!hull.empty()){
int k = hull.top(); hull.pop();
printf("%.8lf %.8lf\n", v[k].X, v[k].Y);
}
return 0;
}