Mai intai trebuie sa te autentifici.
Cod sursa(job #2491946)
Utilizator | Data | 13 noiembrie 2019 17:00:32 | |
---|---|---|---|
Problema | Infasuratoare convexa | Scor | 100 |
Compilator | cpp-64 | Status | done |
Runda | Arhiva educationala | Marime | 1.76 kb |
#include <fstream>
#include <vector>
#include <algorithm>
#include <iomanip>
using namespace std;
ifstream fin ("infasuratoare.in");
ofstream fout ("infasuratoare.out");
struct pt {
double x, y;
};
bool cmp(pt a, pt b) {
return a.x < b.x || (a.x == b.x && a.y < b.y);
}
bool cw(pt a, pt b, pt c) {
return a.x*(b.y-c.y)+b.x*(c.y-a.y)+c.x*(a.y-b.y) < 0;
}
bool ccw(pt a, pt b, pt c) {
return a.x*(b.y-c.y)+b.x*(c.y-a.y)+c.x*(a.y-b.y) > 0;
}
void infasuratoare(vector<pt>& a) {
if (a.size() == 1)
return;
sort(a.begin(), a.end(), &cmp);
pt p1 = a[0], p2 = a.back();
vector<pt> up, down;
up.push_back(p1);
down.push_back(p1);
for (int i = 1; i < (int)a.size(); i++) {
if (i == a.size() - 1 || cw(p1, a[i], p2)) {
while (up.size() >= 2 && !cw(up[up.size()-2], up[up.size()-1], a[i]))
up.pop_back();
up.push_back(a[i]);
}
if (i == a.size() - 1 || ccw(p1, a[i], p2)) {
while(down.size() >= 2 && !ccw(down[down.size()-2], down[down.size()-1], a[i]))
down.pop_back();
down.push_back(a[i]);
}
}
a.clear();
for (int i = 0; i < (int)up.size(); i++)
a.push_back(up[i]);
for (int i = down.size() - 2; i > 0; i--)
a.push_back(down[i]);
}
int main() {
int n, i;
pt p;
vector<pt> v;
fin >> n;
for (i = 1; i <= n; i++) {
fin >> p.x >> p.y;
v.push_back(p);
}
infasuratoare(v);
fout << fixed << setprecision(6);
fout << v.size() << '\n';
for (i = (int)v.size() - 1; i >= 0; i--)
fout << v[i].x << ' ' << v[i].y << '\n';
fin.close();
fout.close();
return 0;
}