Cod sursa(job #2280291)

Utilizator IulianOleniucIulian Oleniuc IulianOleniuc Data 10 noiembrie 2018 13:30:25
Problema Infasuratoare convexa Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.58 kb
#include <ios>
#include <iomanip>

#include <cmath>
#include <fstream>
#include <algorithm>

#define NMAX 120010
using std::sort;

std::ifstream fin("infasuratoare.in");
std::ofstream fout("infasuratoare.out");

struct Point {
    double x, y;
};

int n;
Point p[NMAX];

int min, vf;
Point s[NMAX];

bool operator<(Point a, Point b) {
    double x = atan2(a.y - p[min].y, a.x - p[min].x);
    double y = atan2(b.y - p[min].y, b.x - p[min].x);

    double r1 = (a.x - p[min].x) * (a.x - p[min].x) + (a.y - p[min].y) * (a.y - p[min].y);
    double r2 = (b.x - p[min].x) * (b.x - p[min].x) + (b.y - p[min].y) * (b.y - p[min].y);

    return x < y || x == y && r1 < r2;
}

inline void swap(Point& a, Point& b) {
    Point aux = a;
    a = b;
    b = aux;
}

double position(Point a, Point b, Point c) {
    return (c.x - b.x) * (a.y - b.y) - (a.x - b.x) * (c.y - b.y);
}

int main() {
    fin >> n;
    for (int i = 0; i < n; i++)
        fin >> p[i].x >> p[i].y;

    min = 0;
    for (int i = 1; i < n; i++)
        if (p[i].y < p[min].y || p[i].y == p[min].y && p[i].x < p[min].x)
            min = i;

    swap(p[min], p[0]);
    sort(p + 1, p + n);

    vf = 2;
    s[1] = p[0];
    s[2] = p[1];

    for (int i = 2; i < n; i++) {
        while (vf > 2 && position(s[vf - 1], s[vf], p[i]) < 0)
            vf--;

        if (position(s[vf - 1], s[vf], p[i]) >= 0)
            s[++vf] = p[i];
    }

    fout << vf << '\n';
    for (int i = 1; i <= vf; i++)
        fout << s[i].x << ' ' << s[i].y << '\n';

    fout.close();
    return 0;
}