Cod sursa(job #540400)

Utilizator AnDrEwBoYA Andrei AnDrEwBoY Data 23 februarie 2011 22:35:58
Problema Infasuratoare convexa Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.45 kb
#include <stdio.h>
#include <algorithm>

using namespace std;

#define INF 1000000000
#define EPS 1e-12
#define PDD pair<double, double>
#define x first
#define y second

int N, H;
PDD v[120005], P[120005];

inline int cmp(double a, double b)
{
    if (a + EPS < b) return -1;
    if (b + EPS < a) return +1;
    return 0;
}

int cmp_PDD(const PDD &a, const PDD& b)
{
    int r = cmp(a.x, b.x);
    if (r != 0) return r == -1;
    return cmp(a.y, b.y) == -1;
}

int semn(PDD a, PDD b, PDD c)
{
    double A = a.y-b.y, B = b.x-a.x, C = a.x*b.y - b.x*a.y;
    return cmp(A * c.x + B * c.y + C, 0);
}

int st[120005], uz[120005];
void ConvexHull()
{
    int i, pas = +1, k;
    
    sort(v+1, v+N+1, cmp_PDD);

    uz[2] = 1; st[1] = 1; st[2] = 2; k = 2; i = 3;
    while (!uz[1])
    {
        while (uz[i])
        {
            if (i == N)
                pas = -1;
            i += pas;
        }
        while (k >= 2 && semn(v[st[k-1]], v[st[k]], v[i]) == -1)
            uz[st[k--]] = 0;
        st[++k] = i; uz[i] = 1;
    }
    H = k-1;
    for (i = 1; i <= H; ++i)
        P[i] = v[st[i]];
    P[H+1] = P[1];
}

int main()
{
    int i;
    
    freopen("infasuratoare.in", "r", stdin);
    freopen("infasuratoare.out", "w", stdout);

    scanf("%d", &N);
    for (i = 1; i <= N; ++i)
        scanf("%lf %lf", &v[i].x, &v[i].y);
    
    ConvexHull();
    printf("%d\n", H);
    for (i = 1; i <= H; ++i)
        printf("%.6lf %.6lf\n", P[i].x, P[i].y);
    
    return 0;
}