Submission #427125

#TimeUsernameProblemLanguageResultExecution timeMemory
427125oolimryPort Facility (JOI17_port_facility)C++17
22 / 100
6036 ms250760 KiB
#include <bits/stdc++.h>
using namespace std;
#define sz(x) (int) (x).size()
#define all(x) (x).begin(), (x).end()
#define show(x) cerr << #x << " is " << x << endl;
#define show2(x,y) cerr << #x << " is " << x << " " << #y << " is " << y << endl;
#define show3(x,y,z) cerr << #x << " is " << x << " " << #y << " is " << y << " " << #z << " is " << z << endl;
#define tern(cond, a, b) (cond ? a : b)
#define l first
#define r second
typedef long long lint;
typedef pair<int,int> ii;

const lint mod = 1000000007;

int p[2000005];
int ans;

int findSet(int u){
	if(p[u] == u) return u;
	else return p[u] = findSet(p[u]);
}

inline bool unionSet(int u, int v){
	u = findSet(u), v = findSet(v);
	if(u == v) return false;
	if(rand()&1) swap(u,v);
	p[u] = v;
	ans--;
	return true;
}


ii arr[1000005];

const int N = 1<<21;
map<int,int> tree[2*N];

inline map<int,int> merge(map<int,int> A, map<int,int> B){
	if(sz(A) > sz(B)) swap(A,B);
	for(ii x : A) B[x.first] += x.second;
	return B;
}

inline void update(int u, int h, int v){
	int i = arr[u].r + N;
	for(;i > 0;i >>= 1){
		auto it = tree[i].find(h);
		if(it == tree[i].end()) tree[i][h] = v;
		else if(it->second == 1 and v == -1) tree[i].erase(it);
		else it->second += v;
	}
}

inline map<int,int> query(int l, int r){
	map<int,int> res;
	for(l += N, r += N;l < r;l >>= 1, r >>= 1){
		if(l&1) res = merge(res, tree[l++]);
		if(r&1) res = merge(res, tree[--r]);
	}
	return res;
}

vector<int> belongsto[1000005];
vector<int> adj[1000005];
int color[1000005];
ii event[2000005];

stack<int> S[4];

inline void combine(int a, int b){ ///pushes a's stuff to b
	vector<int> &A = belongsto[a];
	vector<int> &B = belongsto[b];
	
	if(sz(A) > sz(B)) swap(A,B);
	for(int x : A) B.push_back(x);
	A.clear();
}


void merge(int a, int b){
	if(unionSet(a*2, b*2+1)) ans--;
	unionSet(a*2+1, b*2);
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	
	int n; cin >> n;
	ans = n;
	for(int i = 0;i < n;i++) cin >> arr[i].l >> arr[i].r;
	sort(arr,arr+n);
	for(int i = 0;i < n;i++){
		p[i] = i;
		belongsto[i].push_back(i);
		
		event[arr[i].l] = ii(i, 1);
		event[arr[i].r] = ii(i, -1);
	}
	
	for(int i = 0;i < 2*n;i++) p[i] = i;
	for(int i = 0;i < n;i++){
		for(int j = i+1;j < n;j++){
			ii a = arr[i], b = arr[j];
			if(a.l > b.l) swap(a,b);
			
			if(a.l < b.l and b.l < a.r and a.r < b.r){
				//show2(i,j);
				merge(i,j);
			}
		}
	}
	for(int i = 0;i < n;i++){
		if(findSet(i*2) == findSet(i*2+1)){
			cout << 0;
			return 0;
		}
	}
	
	ans = n;
	for(int i = 0;i < 2*n;i++) p[i] = i;
		
	for(int u = 0;u < n;u++){
		vector<int> stuffs = {u};
		auto M = query(arr[u].l, arr[u].r);
		for(ii x : M) stuffs.push_back(x.first);
		
		for(int i = 1;i < sz(stuffs);i++) unionSet(stuffs[i-1], stuffs[i]);
		int newhead = findSet(u);
		
		update(u, u, 1);
		for(int h : stuffs){
			if(h == newhead) continue;
			for(int x : belongsto[h]){
				update(x, h, -1);
				update(x, newhead, 1);
			}
			combine(h, newhead);
		}
	}
	
	
	lint actlans = 1;
	for(int i = 0;i < ans;i++){
		actlans *= 2;
		if(actlans >= mod) actlans -= mod;
	}
	cout << actlans;
}

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