303 lines
6.4 KiB
C++
303 lines
6.4 KiB
C++
/* Problem URL: https://codeforces.com/gym/102361/problem/A */
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#include <bits/stdc++.h>
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#include <ext/pb_ds/assoc_container.hpp>
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#include <ext/pb_ds/tree_policy.hpp>
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using namespace std;
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using namespace __gnu_pbds;
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template <class T, class comp = less<>>
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using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
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#define V vector
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#define rmin(a, b) a = min(a, b)
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#define rmax(a, b) a = max(a, b)
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#define rep(i, lim) for (int i = 0; i < (lim); i++)
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#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
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#define repv(i, v) for (auto &i : (v))
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#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
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#define sortv(v) sort(v.begin(), v.end())
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#define all(v) (v).begin(), (v).end()
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using vi = vector<int>;
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using vvi = vector<vi>;
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using vvvi = vector<vvi>;
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using vvvvi = vector<vvvi>;
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using ll = long long;
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using vl = vector<ll>;
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using vvl = vector<vl>;
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using vvvl = vector<vvl>;
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using vvvvl = vector<vvvl>;
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template<class v>
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auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
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os << vec[0];
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for (size_t i = 1; i < vec.size(); i++) {
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os << ' ' << vec[i];
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}
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os << '\n';
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<v> &vec)->istream& {
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for (auto &i : vec) {
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is >> i;
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}
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return is;
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}
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template<class v>
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auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
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for (auto &i : vec) {
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os << i[0];
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for (size_t j = 1; j < i.size(); j++) {
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os << ' ' << i[j];
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}
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os << '\n';
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}
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return os;
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}
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template<class v>
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auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
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for (auto &i : vec) {
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for (auto &j : i) {
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is >> j;
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}
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}
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return is;
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}
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const int oo = INT32_MAX >> 1;
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const ll OO = INT64_MAX >> 1;
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struct pt {
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ll x, y;
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pt() = default;
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pt(ll x, ll y): x(x), y(y) {}
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friend istream &operator >> (istream &is, pt &a) {
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is >> a.x >> a.y;
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return is;
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}
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ll operator ^ (pt b) {
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return x * b.y - y * b.x;
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}
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ll operator * (pt b) {
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return x * b.x + y * b.y;
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}
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pt operator - (pt b) {
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return pt(x - b.x, y - b.y);
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}
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};
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int ccw(pt a, pt b, pt c)
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{
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ll r = (b - a) ^ (c - a);
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return (r > 0) - (r < 0);
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}
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ll cdot(pt a, pt b, pt c)
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{
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return (b - a) * (c - a);
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}
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int quad(pt a)
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{
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if (a.x == 0 && a.y > 0) {
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return 0;
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}
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if (a.x > 0 && a.y == 0) {
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return 1;
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}
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if (a.x == 0 && a.y < 0) {
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return 2;
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}
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if (a.x < 0 && a.y == 0) {
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return 3;
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}
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static const int q[][2] = {{0, 1}, {3, 2}};
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return q[a.x < 0][a.y < 0];
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}
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bool polar_cmp(pt a, pt b)
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{
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if (quad(a) != quad(b)) {
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return quad(a) != quad(b);
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}
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return ccw(pt(0, 0), a, b) < 0;
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}
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void pre()
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{
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}
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#define TEST 0
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void solve()
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{
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int n, q;
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cin >> n >> q;
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V<pt> pts(n + q);
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cin >> pts;
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vi p(n + q);
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iota(all(p), 0);
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auto cmpr = [&](vi &p, int i) {
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if (p.empty()) {
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return vector<pair<int, ll>>();
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}
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sort(all(p), [&](int j, int k){return polar_cmp(pts[j] - pts[i], pts[k] - pts[i]);});
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V<pair<int, ll>> v;
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int c = 1;
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nrep(j, 1, p.size()) {
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if (ccw(pts[i], pts[p[j]], pts[p[j - 1]]) == 0) {
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c++;
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continue;
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}
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v.emplace_back(p[j - 1], c);
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c = 1;
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}
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v.emplace_back(p.back(), c);
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return v;
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};
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vl ans(q);
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rep(i, n) {
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vvi qp(4);
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nrep(j, n, n + q) {
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qp[quad(pts[j] - pts[i])].push_back(j);
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}
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vvi np(4);
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rep(j, n) {
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if (i == j) {
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continue;
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}
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np[quad(pts[j] - pts[i])].push_back(j);
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}
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V<V<pair<int, ll>>> cp = {cmpr(np[0], i), cmpr(np[1], i), cmpr(np[2], i), cmpr(np[3], i)};
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auto cmp = [&](int j, int k) {
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return polar_cmp(pts[j] - pts[i], pts[k] - pts[i]);
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};
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sort(all(qp[0]), cmp);
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sort(all(qp[1]), cmp);
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sort(all(qp[2]), cmp);
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sort(all(qp[3]), cmp);
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auto getcw = [&](vi &p, V<pair<int, ll>> &c) {
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int j = 0;
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int k = 0;
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while (j < p.size() && k < c.size()) {
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ll dot = cdot(pts[i], pts[p[j]], pts[c[k].first]);
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if (dot == 0) {
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ans[p[j] - n] += c[k].second;
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j++;
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continue;
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}
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if (dot > 0) {
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k++;
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continue;
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}
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j++;
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}
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};
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auto getccw = [&](vi &p, V<pair<int, ll>> &c) {
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int j = (int)p.size() - 1;
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int k = (int)c.size() - 1;
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while (j >= 0 && k >= 0) {
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ll dot = cdot(pts[i], pts[p[j]], pts[c[k].first]);
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if (dot == 0) {
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ans[p[j] - n] += c[k].second;
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j--;
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continue;
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}
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if (dot > 0) {
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k--;
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continue;
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}
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j--;
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}
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};
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rep(j, 4) {
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getcw(qp[j], cp[(j + 1) % 4]);
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getccw(qp[j], cp[((j - 1) % 4 + 4) % 4]);
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}
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}
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nrep(i, n, n + q) {
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vvi np(4);
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rep(j, n) {
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np[quad(pts[j] - pts[i])].push_back(j);
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}
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V<V<pair<int, ll>>> cp = {cmpr(np[0], i), cmpr(np[1], i), cmpr(np[2], i), cmpr(np[3], i)};
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auto getcw = [&](V<pair<int, ll>> &p1, V<pair<int, ll>> &p2) {
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int j = 0;
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int k = 0;
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while (j < p1.size() && k < p2.size()) {
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ll dot = cdot(pts[i], pts[p1[j].first], pts[p2[k].first]);
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if (dot == 0) {
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ans[i - n] += p1[j].second * p2[k].second;
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j++;
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k++;
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continue;
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}
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if (dot < 0) {
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j++;
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continue;
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}
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k++;
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}
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};
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rep(j, 4) {
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getcw(cp[j], cp[(j + 1) % 4]);
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}
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}
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repv(i, ans) {
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cout << i << '\n';
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}
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}
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int main()
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{
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ios::sync_with_stdio(false);
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cin.tie(nullptr);
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pre();
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int t;
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(TEST && cin >> t) || (t = 1);
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while (t--) {
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solve();
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}
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}
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