Pagini recente » Cod sursa (job #2008805) | Cod sursa (job #1796321) | Monitorul de evaluare | Cod sursa (job #2297145) | Cod sursa (job #1034865)
#include <algorithm>
#include <iomanip>
#include <fstream>
#include <iostream>
using namespace std;
#define NMAX 120001
typedef pair<double, double> Point;
const double EPS = 1e-12;
ifstream f("infasuratoare.in");
ofstream g("infasuratoare.out");
int n;
Point v[NMAX];
bool vis[NMAX];
int st[NMAX], head;
void read()
{
f >> n;
for (int i = 1; i <= n; ++i )
f >> v[i].first >> v[i].second;
}
double cross_product(Point O, Point A, Point B)
{
return (A.first - O.first) * (B.second - O.second) - (B.first - O.first) * (A.second - O.second);
}
void convex_hull()
{
/// sort vector of points
sort(v + 1, v + n + 1);
/// stack initialisation with the first 2 points
st[1] = 1; st[2] = 2; head = 2;
/// mark point as visited
vis[2] = true;
/// i increases from 1 to n and then backwards
/// computing the convex hull using Andrew's algorithm
for (int i = 1, p = 1; i > 0; i += (p = (i == n ? -p : p) ) )
{
/// if i has been visited
if (vis[i])
continue;
while (head >= 2 && cross_product(v[st[head - 1]], v[st[head]], v[i]) < EPS)
vis[st[head--]] = false;
st[++head] = i;
vis[i] = true;
}
/// print number of points in convex hull
g << head - 1 << "\n";
g << setprecision(6) << fixed;
/// print convex hull points' coordinates
for (int i = 1; i < head; ++i)
g << v[st[i]].first << " " << v[st[i]].second << "\n";
}
int main()
{
read();
convex_hull();
return 0;
}