Cod sursa(job #1139738)

Utilizator Ionut228Ionut Calofir Ionut228 Data 11 martie 2014 13:55:29
Problema Poligon Scor 0
Compilator cpp Status done
Runda Arhiva de probleme Marime 2.59 kb
#include <fstream>
#include <vector>
#include <algorithm>

using namespace std;

ifstream fin("poligon.in");
ofstream fout("poligon.out");

int N, M;
int banda, lowerpoints;
int sol, nrdrepte;
double ecm[801], ecn[801];
int D[801];
vector<pair<double, int> > V[801];

struct puncte
{
    int x, y;
};
puncte A[801], B[801], punct;

struct dreapta
{
    int a, b, c;
};
dreapta Ec[801];

bool cmp(puncte a, puncte b)
{
    return (a.x < b.x || (a.x == b.x && a.y < b.y));
}

double gety(int now, double xnow)
{
    return ecm[now] * xnow + ecn[now];
}
int onLine, curBucket;

bool check(int x0, int y0, int curLine) {
    if (Ec[curLine].a * x0 + Ec[curLine].b * y0 + Ec[curLine].c == 0)
        onLine = 1;
    double lineY = (-Ec[curLine].c - Ec[curLine].a * x0) / Ec[curLine].b;
    return y0 >= lineY;
}

int main()
{
    fin >> N >> M;
    for (int i = 1; i <= N; ++i)
    {
        fin >> A[i].x >> A[i].y;
        B[i] = A[i];
    }
    A[N + 1] = A[1];

    sort(B + 1, B + N + 1, cmp);
    B[0].x = B[1].x + 1;
    for (int i = 1; i <= N; ++i)
        if (B[i - 1].x != B[i].x)
            D[++nrdrepte] = B[i].x;

    for (int i = 1; i <= N; ++i)
    {
        Ec[i].a = A[i + 1].y - A[i].y;
        Ec[i].b = A[i].x - A[i + 1].x;
        Ec[i].c = A[i + 1].x * A[i].y - A[i].x * A[i + 1].y;
        ecm[i] = -1.0 * Ec[i].a / Ec[i].b;
        ecn[i] = -1.0 * Ec[i].c / Ec[i].b;
    }

    for (int i = 1; i < nrdrepte; ++i)
    {
        for (int j = 1; j <= N; ++j)
        {
            if (A[j].x == A[j + 1].x) continue;
            if (min(A[j].x, A[j + 1].x) <= D[i] && D[i + 1] <= max(A[j].x, A[j + 1].x))
            {
                double yb = gety(j, (D[i] + D[i + 1]) / 2.0);
                V[i].push_back(make_pair(yb, j));
            }
        }
        sort(V[i].begin(), V[i].end());
    }

    while (M)
    {
        fin >> punct.x >> punct.y;
        if (punct.x < D[1] || punct.x > D[nrdrepte])
            continue;
        curBucket = onLine = 0;
        for (int step = 10; step >= 0; --step)
            if (curBucket + (1 << step) <= nrdrepte && D[curBucket + (1 << step)] < punct.x)
                curBucket += (1 << step);
        int j = 0;
        for (int step = 10; step >= 0; --step)
            if (j + (1 << step) <= V[curBucket].size() && check(punct.x, punct.y, V[curBucket][j + (1 << step) - 1].second))
                j += (1 << step);
        if (j % 2 == 1 || onLine == 1)
            ++sol;

            --M;
    }

    fout << sol;

    fin.close();
    fout.close();
    return 0;
}