#include <bits/stdc++.h>
using namespace std;
using ll = long long;
ll Bx, By;
struct Point {
ll x, y;
int idx;
Point operator-(const Point p) const { return {x - p.x, y - p.y, idx}; }
Point operator+(const Point p) const { return {x + p.x, y + p.y, idx}; }
ll cross(const Point p) const { return x * p.y - y * p.x; }
bool operator<(const Point p) const { return to_upper().cross(p.to_upper()) > 0; }
Point to_upper() const { return above() ? *this : negate(); }
bool above() const {
// TODO: Improve this
const Point B{Bx, By, -1};
return B.cross(*this) > 0;
}
ll operator*(const Point p) const { return x * p.x + y * p.y; }
bool deg0(const Point p) const { return cross(p) == 0 && *this * p >= 0; }
bool deg180(const Point p) const { return cross(p) == 0 && *this * p < 0; }
Point negate() const { return {-x, -y, idx}; }
};
short sgn(const ll x) { return (x > 0) - (x < 0); }
short orientation(const Point o, const Point a, const Point b) {
// assert((a - o).cross(b - o) != 0);
return sgn((a - o).cross(b - o));
}
// template <class T>
// struct BIT {
// BIT(const int n) : n(n) { bit.assign(n, 0); }
// // void clear(const int n) { memset(bit, 0, n * sizeof(T)); }
// T sum(int l, int r) { return sum(r) - sum(l - 1); }
// void add(int idx, const T delta) {
// for (; idx < n; idx = idx | (idx + 1)) bit[idx] += delta;
// }
// private:
// int n;
// vector<T> bit;
// T sum(int r) {
// T ret = 0;
// for (; r >= 0; r = (r & (r + 1)) - 1) ret += bit[r];
// return ret;
// }
// };
// unordered_map<int, vector<Point>> order_by_b;
// bool cmp_by_b(Point p, Point q) {
// p.x -= Bx;
// q.x -= Bx;
// p.y -= By;
// q.y -= By;
// const bool a1 = p.above();
// const bool a2 = q.above();
// if (a1 != a2) return a1;
// return p.cross(q) > 0;
// }
// int handle_query(const vector<Point>& points1, const vector<Point>& points2,
// const vector<Point>& ord_b, const Point B) {
// if (points1.empty() || points2.empty()) return 0;
// BIT<short> active(points2.size());
// for (const auto q : points2) {
// if (!q.above()) {
// active.add(q.idx, 1);
// }
// }
// int total = 0;
// int j = 0;
// for (const Point p : points1) {
// while (j < (int)points2.size()) {
// const Point q = points2[j];
// if (q.to_upper().cross(p.to_upper()) < 0) break;
// active.add(q.idx, q.above() ? 1 : -1);
// j++;
// }
// Point from_point = p;
// Point to_point = B + (p - B).negate();
// if (!p.above()) swap(from_point, to_point);
// // total += 1;
// // continue;
// const auto it1 = lower_bound(ord_b.begin(), ord_b.end(), from_point, cmp_by_b);
// const auto it2 = lower_bound(ord_b.begin(), ord_b.end(), to_point, cmp_by_b);
// const int from = it1 - ord_b.begin();
// const int to = it2 - ord_b.begin();
// total += active.sum(from, to - 1);
// }
// return total;
// }
int main() {
// ios_base::sync_with_stdio(false);
// cin.tie(NULL);
int N, M, Q;
while (cin >> N >> M) {
vector<vector<Point>> tribe_points(M + 1);
for (int i = 0; i < N; i++) {
Point p;
int tribe;
cin >> p.x >> p.y >> tribe;
tribe_points[tribe].push_back(p);
}
Point A;
cin >> A.x >> A.y;
cin >> Bx >> By;
cin >> Q;
// Bx -= A.x;
// By -= A.y;
// for (auto& points : tribe_points) {
// for (auto& p : points) p = p - A;
// }
// for (int m = 0; m <= M; m++) {
// auto& points = tribe_points[m];
// sort(points.begin(), points.end(), cmp_by_b);
// for (int i = 0; i < (int)points.size(); i++) {
// points[i].idx = i;
// }
// order_by_b[m] = tribe_points.at(m);
// }
// for (auto& points : tribe_points) {
// sort(points.begin(), points.end());
// }
const Point B{Bx, By, -1};
// map<pair<int, int>, int> memo;
// const Point origin{0, 0, -1};
const Point origin = A;
while (Q--) {
int i, j;
cin >> i >> j;
// if (memo.count({i, j})) {
// cout << memo.count({i, j}) << '\n';
// continue;
// }
// if (false && (tribe_points[i].size() > 1000 || tribe_points[j].size() > 1000)) {
// const int ans =
// handle_query(tribe_points.at(i), tribe_points.at(j), order_by_b.at(j), B);
// memo[{i, j}] = ans;
// cout << ans << '\n';
// } else {
int total = 0;
for (const Point p : tribe_points[i]) {
for (const Point q : tribe_points[j]) {
const short or1 = orientation(p, q, origin);
const short or2 = orientation(p, q, B);
if (or1 == or2) continue;
if (orientation(origin, B, p) != orientation(origin, B, q)) {
total++;
} else if (orientation(origin, B, p) == 1) {
if (orientation(B, p, q) == 1 && orientation(p, origin, q) == 1) total++;
} else {
if (orientation(origin, p, q) == 1 && orientation(p, B, q) == 1) total++;
}
}
}
cout << total << '\n';
}
// }
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
344 KB |
Output is correct |
2 |
Correct |
29 ms |
348 KB |
Output is correct |
3 |
Correct |
48 ms |
348 KB |
Output is correct |
4 |
Correct |
173 ms |
844 KB |
Output is correct |
5 |
Correct |
153 ms |
676 KB |
Output is correct |
6 |
Correct |
5 ms |
348 KB |
Output is correct |
7 |
Correct |
5 ms |
348 KB |
Output is correct |
8 |
Correct |
10 ms |
348 KB |
Output is correct |
9 |
Correct |
9 ms |
560 KB |
Output is correct |
10 |
Correct |
10 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1967 ms |
1268 KB |
Output is correct |
2 |
Correct |
3855 ms |
1464 KB |
Output is correct |
3 |
Correct |
81 ms |
1584 KB |
Output is correct |
4 |
Correct |
25 ms |
1616 KB |
Output is correct |
5 |
Correct |
26 ms |
2000 KB |
Output is correct |
6 |
Correct |
528 ms |
1456 KB |
Output is correct |
7 |
Correct |
527 ms |
1444 KB |
Output is correct |
8 |
Correct |
796 ms |
1108 KB |
Output is correct |
9 |
Correct |
706 ms |
1440 KB |
Output is correct |
10 |
Correct |
798 ms |
1300 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
344 KB |
Output is correct |
2 |
Correct |
29 ms |
348 KB |
Output is correct |
3 |
Correct |
48 ms |
348 KB |
Output is correct |
4 |
Correct |
173 ms |
844 KB |
Output is correct |
5 |
Correct |
153 ms |
676 KB |
Output is correct |
6 |
Correct |
5 ms |
348 KB |
Output is correct |
7 |
Correct |
5 ms |
348 KB |
Output is correct |
8 |
Correct |
10 ms |
348 KB |
Output is correct |
9 |
Correct |
9 ms |
560 KB |
Output is correct |
10 |
Correct |
10 ms |
348 KB |
Output is correct |
11 |
Correct |
1967 ms |
1268 KB |
Output is correct |
12 |
Correct |
3855 ms |
1464 KB |
Output is correct |
13 |
Correct |
81 ms |
1584 KB |
Output is correct |
14 |
Correct |
25 ms |
1616 KB |
Output is correct |
15 |
Correct |
26 ms |
2000 KB |
Output is correct |
16 |
Correct |
528 ms |
1456 KB |
Output is correct |
17 |
Correct |
527 ms |
1444 KB |
Output is correct |
18 |
Correct |
796 ms |
1108 KB |
Output is correct |
19 |
Correct |
706 ms |
1440 KB |
Output is correct |
20 |
Correct |
798 ms |
1300 KB |
Output is correct |
21 |
Correct |
1981 ms |
1260 KB |
Output is correct |
22 |
Correct |
3788 ms |
1616 KB |
Output is correct |
23 |
Correct |
2818 ms |
1744 KB |
Output is correct |
24 |
Correct |
844 ms |
2404 KB |
Output is correct |
25 |
Correct |
206 ms |
2304 KB |
Output is correct |
26 |
Correct |
185 ms |
2132 KB |
Output is correct |
27 |
Correct |
48 ms |
1872 KB |
Output is correct |
28 |
Correct |
49 ms |
1884 KB |
Output is correct |
29 |
Execution timed out |
4045 ms |
2336 KB |
Time limit exceeded |
30 |
Halted |
0 ms |
0 KB |
- |