Submission #819355

#	Time	Username	Problem	Language	Result	Execution time	Memory
819355		flappybird	Dragon 2 (JOI17_dragon2)	C++17	60 / 100	4062 ms	69644 KiB

dragon2

#include <bits/stdc++.h>
#include <cassert>
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,fma")
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
#define MAX 501010
#define MAXS 20
#define INF 1000000100
#define bb ' '
#define ln '\n'
#define Ln '\n'
#define MOD 1000000007
pll point[MAX];
vector<int> ps[MAX];
pii pos[MAX];
int op[2][MAX];
int ord[MAX];
vector<tuple<int, int, int>> qv[MAX];
vector<tuple<int, int, int>> tr[MAX * 2]; //tribe range, x, y, mul
int rev[2][MAX];
ll ans[MAX];
int chk[MAX];
ll ccw(pll p1, pll p2, pll p3) {
	return (p1.first * p2.second + p2.first * p3.second + p3.first * p1.second) - (p2.first * p1.second + p3.first * p2.second + p1.first * p3.second);
}
int N, M;
void add(int i, pii rx, pii ry) {
	if (rx == pii(0, 0)) return;
	if (ry == pii(0, 0)) return;
	if (rx.second == 0) rx.second = N;
	if (ry.second == 0) ry.second = N;
	if (rx.first == 0) rx.first = 1;
	if (ry.first == 0) ry.first = 1;
	if (rx.first > rx.second) {
		add(i, pii(rx.first, N), ry);
		add(i, pii(1, rx.second), ry);
		return;
	}
	if (ry.first > ry.second) {
		add(i, rx, pii(ry.first, N));
		add(i, rx, pii(1, ry.second));
		return;
	}
	tr[i].emplace_back(rx.second, ry.second, 1);
	if (rx.first > 1) tr[i].emplace_back(rx.first - 1, ry.second, -1);
	if (ry.first > 1) tr[i].emplace_back(rx.second, ry.first - 1, -1);
	if (rx.first > 1 && ry.first > 1) tr[i].emplace_back(rx.first - 1, ry.first - 1, 1);
}
vector<ll> tree;
vector<int> updv;
inline void upd(int i, int x) {
	updv.push_back(i); while (i <= N) { tree[i] += x, i += i & -i; }
}
inline ll get(int i) { ll ans = 0; while (i) { ans += tree[i], i -= i & -i; } return ans; }
inline void clear() {
	for (auto v : updv) {
		while (v <= N && tree[v]) {
			tree[v] = 0;
			v += v & -v;
		}
	}
	updv.clear();
}
inline int nxv(int x) { return x % N + 1; }
inline int pvv(int x) { return (x + N - 2) % N + 1; }
signed main() {
	ios::sync_with_stdio(false), cin.tie(0);
	cin >> N >> M;
	int i, t;
	for (i = 1; i <= N; i++) {
		cin >> point[i].first >> point[i].second >> t;
		ps[t].push_back(i);
	}
	point[++N] = pll(2 * INF, INF + 1);
	point[++N] = pll(2 * INF, -INF + 1);
	point[++N] = pll(-2 * INF, INF);
	point[++N] = pll(-2 * INF, -INF);
	pll X[2];
	cin >> X[0].first >> X[0].second;
	cin >> X[1].first >> X[1].second;
	for (auto c : { 0, 1 }) {
		vector<int> v1, v2;
		point[0] = X[c ^ 1];
		for (i = 0; i <= N; i++) ((point[i].second > X[c].second) ? v1 : v2).push_back(i);
		sort(v1.begin(), v1.end(), [&](int i, int j) {
			return ccw(X[c], point[i], point[j]) > 0;
			});
		sort(v2.begin(), v2.end(), [&](int i, int j) {
			return ccw(X[c], point[i], point[j]) > 0;
			});
		vector<int> v = v1;
		for (auto x : v2) v.push_back(x);
		int ind;
		for (i = 0; i < v.size(); i++) if (!v[i]) break;
		ind = i;
		vector<int> nv;
		for (i = ind; i < v.size(); i++) nv.push_back(v[i]);
		for (i = 0; i < ind; i++) nv.push_back(v[i]);
		swap(nv, v);
		for (i = 1; i < v.size(); i++) (c ? pos[v[i]].second : pos[v[i]].first) = i;
		int j = 1;
		for (i = 1; i < v.size(); i++) {
			while (ccw(point[v[i]], X[c], point[v[j]]) <= 0) {
				j = (j + 1) % (N + 1);
				if (i == j) break;
			}
			op[c][i] = j;
			if (j < i && j) op[c][i] = (op[c][i] + N) % (N + 1), rev[c][v[i]] = 1;
			if (i == j) j = (j + 1) % (N + 1);
		}
	}
	for (i = 1; i <= M; i++) {
		for (auto p : ps[i]) {
			pii rx = pii(op[0][pos[p].first], pos[p].first);
			pii ry = pii(op[1][pos[p].second], pos[p].second);
			if (rev[0][p]) swap(rx.first, rx.second);
			if (rev[1][p]) swap(ry.first, ry.second);
			add(i, rx, ry);
			rx = pii(op[0][pos[p].first], 0);
			ry = pii(op[1][pos[p].second], 0);
			if (rev[0][p]) swap(rx.first, rx.second);
			if (rev[1][p]) swap(ry.first, ry.second);
			add(i + M, rx, ry);
			if (rev[0][p]) rx = pii(nxv(op[0][pos[p].first]), pos[p].first);
			else rx = pii(pos[p].first, pvv(op[0][pos[p].first]));
			if (rev[1][p]) ry = pii(nxv(op[1][pos[p].second]), pos[p].second);
			else ry = pii(pos[p].second, pvv(op[1][pos[p].second]));
			add(i + M, rx, ry);
		}
	}
	for (i = 1; i <= M; i++) ord[i] = i;
	sort(ord + 1, ord + N + 1, [&](int i, int j) {return ps[i].size() > ps[j].size(); });
	int a, b;
	int Q;
	cin >> Q;
	for (i = 1; i <= Q; i++) {
		cin >> a >> b;
		if (ord[a] < ord[b]) qv[a].emplace_back(b, 1, i);
		else qv[b].emplace_back(a, 0, i);
	}
	tree.resize(N + 1);
	for (i = 1; i <= M; i++) {
		int v = ord[i];
		vector<pair<tuple<int, int, int>, int>> rv;
		for (auto& [p, m, q] : qv[v]) {
			m *= M;
			for (auto& t : tr[p + m]) rv.emplace_back(t, q);
		}
		sort(rv.begin(), rv.end());
		clear();
		int ptr = 0;
		sort(ps[v].begin(), ps[v].end(), [&](int i, int j) {return pos[i].first < pos[j].first; });
		for (auto& [t, q] : rv) {
			auto& [x, y, mul] = t;
			while (ptr < ps[v].size() && pos[ps[v][ptr]].first <= x) upd(pos[ps[v][ptr++]].second, 1);
			ans[q] += mul * get(y);
		}
	}
	for (i = 1; i <= Q; i++) cout << ans[i] << ln;
}

Compilation message (stderr)

dragon2.cpp: In function 'int main()':
dragon2.cpp:99:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |   for (i = 0; i < v.size(); i++) if (!v[i]) break;
      |               ~~^~~~~~~~~~
dragon2.cpp:102:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  102 |   for (i = ind; i < v.size(); i++) nv.push_back(v[i]);
      |                 ~~^~~~~~~~~~
dragon2.cpp:105:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  105 |   for (i = 1; i < v.size(); i++) (c ? pos[v[i]].second : pos[v[i]].first) = i;
      |               ~~^~~~~~~~~~
dragon2.cpp:107:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  107 |   for (i = 1; i < v.size(); i++) {
      |               ~~^~~~~~~~~~
dragon2.cpp:160:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  160 |    while (ptr < ps[v].size() && pos[ps[v][ptr]].first <= x) upd(pos[ps[v][ptr++]].second, 1);
      |           ~~~~^~~~~~~~~~~~~~

• Subtask 1: 15 / 15
• Subtask 2: 45 / 45
• Subtask 3: 0 / 40