Submission #170930

#	Time	Username	Problem	Language	Result	Execution time	Memory
170930		SpeedOfMagic	Meksikanac (COCI16_meksikanac)	C++17	10 / 160	1550 ms	20220 KiB

meksikanac

#include <bits/stdc++.h>
using namespace std;
template<typename T> using v = vector<T>;
//#define int long long
typedef long double ld;
typedef long long ll;
typedef string str;
typedef vector<int> vint;
#define rep(a, l, r) for(int a = (l); a < (r); a++)
#define pb push_back
#define fs first
#define sc second
#define sz(a) ((int) a.size())
const long long inf = 1'000'000'000'000'000'000;
const long double EPS = 1e-10;
#if 0  //FileIO
const string fileName = "";
ifstream fin ((fileName == "" ? "input.txt"  : fileName + ".in" ));
ofstream fout((fileName == "" ? "output.txt" : fileName + ".out"));
#define get fin >>
#define put fout <<
#else
#define get cin >>
#define put cout <<
#endif
#define eol put endl
void read() {} template<typename A,typename... As> void read (A& a,As&... as){get (a)     ;read(as...) ;}
void print(){} template<typename A,typename... As> void print(A  a,As...  as){put (a)<<" ";print(as...);}
int getInt() { int a; get a; return a; }
mt19937 rng{random_device{}()};
void run();
signed main() { ios::sync_with_stdio(0); cin.tie(0); put fixed << setprecision(13); run(); }
//code starts here
typedef complex<double> base;
const double PI = acos(-1.0); 
void fft (vector<base> & a, bool invert) {
	int n = (int) a.size();
 
	for (int i=1, j=0; i<n; ++i) {
		int bit = n >> 1;
		for (; j>=bit; bit>>=1)
			j -= bit;
		j += bit;
		if (i < j)
			swap (a[i], a[j]);
	}
 
	for (int len=2; len<=n; len<<=1) {
		double ang = 2*PI/len * (invert ? -1 : 1);
		base wlen (cos(ang), sin(ang));
		for (int i=0; i<n; i+=len) {
			base w (1);
			for (int j=0; j<len/2; ++j) {
				base u = a[i+j],  v = a[i+j+len/2] * w;
				a[i+j] = u + v;
				a[i+j+len/2] = u - v;
				w *= wlen;
			}
		}
	}
	if (invert)
		for (int i=0; i<n; ++i)
			a[i] /= n;
}
void multiply (const vector<int> & a, const vector<int> & b, vector<int> & res) {
	vector<base> fa (a.begin(), a.end()),  fb (b.begin(), b.end());
	size_t n = 1;
	while (n < max (a.size(), b.size()))  n <<= 1;
	n <<= 1;
	fa.resize (n),  fb.resize (n);
 
	fft (fa, false),  fft (fb, false);
	for (size_t i=0; i<n; ++i)
		fa[i] *= fb[i];
	fft (fa, true);
 
	res.resize (n);
	for (size_t i=0; i<n; ++i)
		res[i] = (int) (fa[i].real() + 0.5);
}
 
// (s1 <-) * (s2 ->) and 0s are required
struct pt {
    int x, y;
    pt() = default;
    pt(int _x, int _y) : x(_x), y(_y) {}
    pt(pt a, pt b) : x(b.x - a.x), y(b.y - a.y) {}
	pt operator-(pt o) const { return { x - o.x, y - o.y }; }
	int operator*(pt o) const { return x * o.x + y * o.y; }
	int operator%(pt o) const { return x * o.y - y * o.x; }
};

int sgn(int a) { return (0 < a) - (a < 0); }

bool belongs(pt a, pt b, pt p) {
    return ((a - p) * (b - p) <= 0 && (a - p) % (b - p) == 0);
}

bool segSeg(pt a, pt b, pt c, pt d) {
	if (belongs(a, b, c) || belongs(a, b, d) || belongs(c, d, a) || belongs(c, d, b))
		return 1;
	pt ab = { a, b }, bc = { b, c }, bd = { b, d }, da = { d, a }, db = { d, b }, cd = { c, d };
	return (sgn(ab % bc) != sgn(ab % bd) && sgn(cd % da) != sgn(cd % db));
}

bool in(vector<pt> pol, pt p) { //uses belongs, segSeg
	int n = int(pol.size());
	int cnt = 0;
	for (int i = 0; i < n - 1; i++) {
		pt a = pol[i], b = pol[i + 1];
		if (a.y > b.y)
			swap(a, b);
		if (belongs(a, b, p))
			return true;
		else if (a.y == p.y)
			continue;
		else if (segSeg(a, b, p, { 10000, p.y }))
			cnt++;
	}
	return cnt % 2;
}

void run() {
    int n, m;
    read(m, n);
    n++; m++;
 
    int k;
    get k;
    v<pt> flies(k);
    int K = k; 
    rep(i, 0, k) {
        read(flies[i].x, flies[i].y);
    }
 
    get k;
    v<pt> pol(k + 1);
    int mnX = m, mnY = n;
    rep(i, 0, k) {
        read(pol[i].x, pol[i].y);
        mnX = min(mnX, pol[i].x);
        mnY = min(mnY, pol[i].y);
    }
    pol[k] = pol[0];
 
    int lenC = 0, lenR = 0;
    rep(i, 0, k + 1) {
        pol[i].x -= mnX;
        pol[i].y -= mnY;
        lenC = max(lenC, pol[i].x);
        lenR = max(lenR, pol[i].y);
    }
    int prn = n, prm = m;
    if (lenC + 1 > prm || lenR + 1 > prn) {
        put 0;
        return;
    }
    m += lenC;
    n += lenR;

    vint bitsFlies(n * m, 0);
    rep(i, 0, K)
        bitsFlies[flies[i].y * m + flies[i].x] = 1;
    
    char inPol[lenC + 1][lenR + 1];
    for (int py = 0; py < lenR + 1; ++py)
        for (int px = 0; px < lenC + 1; ++px)
            inPol[px][py] = in(pol, {px, py});
    
//eol; rep(i, 0, lenR + 1) { rep(j, 0, lenC + 1) put intersectAfter[j][i]; eol; } eol;
// for (int i = lenR; i >= 0; --i) { rep(j, 0, lenC + 1) put char(inPol[j][i] + '0'); eol; }
 
    vint bitsPolygon;
 
    for (int x = lenC; x >= 0; --x)
        bitsPolygon.pb(inPol[x][lenR]);
    for (int y = lenR - 1; y >= 0; --y) {
        /*
        rep(x, 0, lenC + 1)
            bitsPolygon.pb(inPol[x][y]);
        rep(x, lenC + 1, m)
            bitsPolygon.pb(0);
        */
        for (int x = m - 1; x >= lenC + 1; --x)
            bitsPolygon.pb(0);
        for (int x = lenC; x >= 0; --x)
            bitsPolygon.pb(inPol[x][y]);
    }
    
  //  cerr << "Length of polygon: lenR = " << lenR << ", lenC = " << lenC << endl;
 
    vint res;
    multiply(bitsFlies, bitsPolygon, res);
//    rep(i, 0, n * m) put bitsFlies[i]; eol;
//    rep(i, 0, sz(bitsPolygon)) put bitsPolygon[i]; eol;
//    rep(i, 0, sz(res)) put res[i]; eol;
  //  cerr << sz(bitsFlies) << " " << sz(bitsPolygon) << " " << sz(res) << endl;
    int ans = 0;
    vint posPlace;
    rep(i, 0, n)
        rep(j, 0, m)
            posPlace.pb(i < prn && j < prm && i - lenR >= 0 && j - lenC >= 0);
//    for (int i : posPlace)     put i; eol;
    rep(i, 0, sz(posPlace))
        ans += posPlace[i] * (res[i] == 0);
    put ans;
}

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