Submission #1240346

#	Time	Username	Problem	Language	Result	Execution time	Memory
1240346		PenguinsAreCute	Dragon 2 (JOI17_dragon2)	C++17	15 / 100	4091 ms	5888 KiB

dragon2

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int K = 100;
struct slope {
	int x, y;
	slope(int _x, int _y): x(_x), y(_y) {}
	slope operator - () {return slope(-x,-y);}
};
struct fenwick {
	int n;
	vector<int> fw;
	fenwick(int _n): n(_n+1), fw(_n+1,0) {}
	void up(int x, int u) {
		for(x++;x<n;x+=(x&(-x)))
			fw[x] += u;
	}
	int qry(int x) {
		int ans = 0;
		for(x++;x;x-=(x&(-x)))
			ans += fw[x];
		return ans;
	}
};
/*
Seriously?
O(cbrt(N^4 * Q * log^2 N))???
*/
int main() {
	int n, m;
	cin >> n >> m;
	vector<pair<int,int>> dragon[m];
	for(int i=0;i<n;i++) {
		int a, b, c;
		cin >> a >> b >> c;
		dragon[c-1].push_back({a,b});
	}
	int d1, e1, d2, e2;
	cin >> d1 >> e1 >> d2 >> e2;
	auto cmp0 = [](slope a, slope b) {
		return (1LL * a.y * b.x < 1LL * a.x * b.y);
	};
	auto cmp1 = [&cmp0,d1,e1,d2,e2](slope x, slope y) {
		slope z(d2 - d1, e2 - e1);
		if(cmp0(x,z) == cmp0(y,z))
			return cmp0(x,y);
		return cmp0(x,z);
	};
	auto cmp2 = [&cmp0,d1,e1,d2,e2](slope x, slope y) {
		slope z(d1 - d2, e1 - e2);
		if(cmp0(x,z) == cmp0(y,z))
			return cmp0(x,y);
		return cmp0(x,z);
	};

	vector<int> spec;
	for(int i=0;i<m;i++)
		if(dragon[i].size() > K)
			spec.push_back(i);
	int s = spec.size();
	int ans1[s][m], ans2[m][s];
	memset(ans1,0,sizeof(ans1));
	memset(ans2,0,sizeof(ans2));
	for(int i=0;i<s;i++) {
		vector<tuple<slope,slope,int>> help;
		vector<slope> disc;
		int g = spec[i];
		for(auto [x, y]: dragon[g]) {
			help.push_back({slope(x-d1,y-e1), slope(x-d2,y-e2), 0});
			disc.push_back(slope(x-d2,y-e2));
		}
		for(int f=0;f<m;f++)
			if(f != g)
				for(auto [x, y]: dragon[f]) {
					slope fi = slope(x-d1,y-e1);
					if(cmp1(-fi,fi))
						fi = -fi;
					slope se = slope(x-d2,y-e2);
					if(cmp2(-se,se))
						se = -se;
					help.push_back({fi, se, f+1});
					help.push_back({fi, -se, -f-1});
					help.push_back({-fi, se, -f-1});
					help.push_back({-fi, -se, f+1});
					disc.push_back(se);
					disc.push_back(-se);
				}
		fenwick fw(disc.size());
		sort(help.begin(),help.end(), [&cmp1](auto a, auto b) {return cmp1(get<0>(a),get<0>(b));});
		sort(disc.begin(),disc.end(), cmp2);
		int ans = 0;
		for(auto [fi, se, tp]: help) {
			int seNw = lower_bound(disc.begin(),disc.end(),se,cmp2) - disc.begin();
			if(tp == 0)
				fw.up(seNw, 1);
			else
				ans2[abs(tp)-1][i] += (tp>0?1:-1) * fw.qry(seNw);
		}
	}
	for(int i=0;i<s;i++) {
		vector<tuple<slope,slope,int>> help;
		vector<slope> disc;
		int f = spec[i];
		for(auto [x, y]: dragon[f]) {
			slope fi(x-d1,y-e1);
			if(cmp1(-fi,fi))
				fi = -fi;
			slope se(x-d2,y-e2);
			if(cmp2(-se,se))
				se = -se;
			help.push_back({fi, se, 0});
			disc.push_back(se);
		}
		for(int g=0;g<m;g++)
			if(g != f)
				for(auto [x, y]: dragon[g]) {
					slope fi(x-d1,y-e1);
					slope se(x-d2,y-e2);
					help.push_back({fi,se,g+1});
					if(cmp1(-fi,fi))
						help.push_back({-fi,se,-(g+1)});
					if(cmp2(-se,se))
						help.push_back({fi,-se,-(g+1)});
					if(cmp1(-fi,fi)&&cmp2(-se,se))
						help.push_back({-fi,-se,g+1});
					disc.push_back(se);
					disc.push_back(-se);
				}
		fenwick fw(disc.size());
		sort(help.begin(),help.end(), [&cmp1](auto a, auto b) {return cmp1(get<0>(a),get<0>(b));});
		sort(disc.begin(),disc.end(), cmp2);
		int ans = 0;
		for(auto [fi, se, tp]: help) {
			int seNw = lower_bound(disc.begin(),disc.end(),se,cmp2) - disc.begin();
			if(tp == 0)
				fw.up(seNw, 1);
			else
				ans1[i][abs(tp)-1] += (tp>0?1:-1) * fw.qry(seNw);
		}
	}

	int q;
	cin >> q;
	for(int f,g;q--;) {
		cin >> f >> g;
		f--; g--;
		if(dragon[f].size() <= K && dragon[g].size() <= K) {
			vector<tuple<slope,slope,int>> help;
			vector<slope> disc;
			for(auto [x, y]: dragon[g]) {
				help.push_back({slope(x-d1,y-e1), slope(x-d2,y-e2), 0});
				disc.push_back(slope(x-d2,y-e2));
			}
			for(auto [x, y]: dragon[f]) {
				slope fi = slope(x-d1,y-e1);
				if(cmp1(-fi,fi))
					fi = -fi;
				slope se = slope(x-d2,y-e2);
				if(cmp2(-se,se))
					se = -se;
				help.push_back({fi, se, 1});
				help.push_back({fi, -se, -1});
				help.push_back({-fi, se, -1});
				help.push_back({-fi, -se, 1});
				disc.push_back(se);
				disc.push_back(-se);
			}
			fenwick fw(disc.size());
			sort(help.begin(),help.end(), [&cmp1](auto a, auto b) {return cmp1(get<0>(a),get<0>(b));});
			sort(disc.begin(),disc.end(), cmp2);
			int ans = 0;
			for(auto [fi, se, tp]: help) {
				int seNw = lower_bound(disc.begin(),disc.end(),se,cmp2) - disc.begin();
				if(tp == 0)
					fw.up(seNw, 1);
				else
					ans += tp * fw.qry(seNw);
			}
			cout << ans << "\n";
		} else if(dragon[f].size() > K)
			cout << ans1[lower_bound(spec.begin(),spec.end(),f)-spec.begin()][g] << "\n";
		else
			cout << ans2[f][lower_bound(spec.begin(),spec.end(),g)-spec.begin()] << "\n";
	}
}

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