Submission #127342

#TimeUsernameProblemLanguageResultExecution timeMemory
127342baluteshihPort Facility (JOI17_port_facility)C++14
100 / 100
1449 ms146248 KiB
#include <bits/stdc++.h>
#include<ext/pb_ds/priority_queue.hpp>
#define jizz ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
#define pb push_back
#define MP make_pair
#define F first
#define S second
#define MEM(i,j) memset(i,j,sizeof i)
#define ALL(v) v.begin(),v.end()
#define ET cout << "\n"
#define DB(a,s,e) {for(int i=s;i<e;++i) cout << a[i] << " ";ET;}
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

const ll MOD=1e9+7;
__gnu_pbds::priority_queue<pii,greater<pii>,pairing_heap_tag> pq[1000005];
map<int,int> mp;
pii seg[1000005];
int boss[2000005];
bitset<2000005> vis;

int finds(int x)
{
	if(boss[x]==x) return x;
	return boss[x]=finds(boss[x]); 
}

void Union(int a,int b)
{
	a=finds(a),b=finds(b);
	boss[a]=b;
}

void merge(int a,int b,int t)
{
	if(t==0)
		Union(a<<1,b<<1),Union(a<<1|1,b<<1|1);
	else
		Union(a<<1,b<<1|1),Union(a<<1|1,b<<1);
}

int main()
{jizz
	int n,flag=1,ans=1,cnt=0,tp=0;
	cin >> n;
	for(int i=0;i<n;++i)
		cin >> seg[i].F >> seg[i].S,boss[i<<1]=i<<1,boss[i<<1|1]=i<<1|1;
	sort(seg,seg+n);
	for(int i=0;i<n&&flag;++i)
	{
		while(!mp.empty()&&mp.begin()->F<seg[i].F)
		{
			int t=mp.begin()->S;
			mp.erase(mp.begin()),pq[t].pop();
			if(!pq[t].empty())
				mp.insert(MP(pq[t].top().F,t));
		}
		int beg=-1;
		while(!mp.empty()&&mp.begin()->F<seg[i].S)
		{
			if(!~beg) beg=mp.begin()->S;
			else merge(pq[beg].top().S,pq[mp.begin()->S].top().S,0),pq[beg].join(pq[mp.begin()->S]);
			mp.erase(mp.begin());
		}
		if(~beg)
			merge(i,pq[beg].top().S,1),mp.insert(MP(pq[beg].top().F,beg));
		pq[tp].push(MP(seg[i].S,i)),mp.insert(MP(seg[i].S,tp)),++tp;
	}
	for(int i=0;i<n&&flag;++i)
		if(finds(i<<1)==finds(i<<1|1))
			flag=0;
		else
		{
			if(!vis[finds(i<<1)]) ++cnt,vis[finds(i<<1)]=1;
			if(!vis[finds(i<<1|1)]) ++cnt,vis[finds(i<<1|1)]=1;
		}	
	cnt/=2;
	for(int i=0;i<cnt;++i)
		ans=ans*2%MOD;
	if(flag) cout << ans << "\n";
	else cout << "0\n";
}
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