This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*input
5
1 4
2 10
6 9
7 8
3 5
*/
#include <bits/stdc++.h>
#pragma GCC optimize("unroll-loops,no-stack-protector")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<ld,ld> pdd;
#define IOS ios_base::sync_with_stdio(0); cin.tie(0)
#define ALL(a) a.begin(),a.end()
#define SZ(a) ((int)a.size())
#define F first
#define S second
#define REP(i,n) for(int i=0;i<((int)n);i++)
#define pb emplace_back
#define MP(a,b) make_pair(a,b)
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#define GET_POS(c,x) (lower_bound(c.begin(),c.end(),x)-c.begin())
template<typename T1,typename T2>
ostream& operator<<(ostream& out,pair<T1,T2> P){
out<<'('<<P.F<<','<<P.S<<')';
return out;
}
//}}}
const ll maxn=300005;
const ll maxlg=__lg(maxn)+2;
const ll INF64=8000000000000000000LL;
const int INF=0x3f3f3f3f;
const ll MOD=ll(1e9+7);
const ld PI=acos(-1);
const ld eps=1e-9;
//const ll p=880301;
//const ll P=31;
ll mypow(ll a,ll b){
ll res=1LL;
while(b){
if(b&1) res=res*a%MOD;
a=a*a%MOD;
b>>=1;
}
return res;
}
vector<int> edge[maxn];
bool tg[maxn];
bool vis[maxn];
int a[maxn],b[maxn];
void dfs(int u){
vis[u]=1;
for(int v:edge[u]){
if(!vis[v]){
tg[v]=!tg[u];
dfs(v);
}
else{
if(tg[u]==tg[v]){
cout<<"0\n";
exit(0);
}
}
}
}
int main(){
IOS;
int n;
cin>>n;
REP(i,n) cin>>a[i]>>b[i];
REP(i,n) for(int j=0;j<n;j++) if(a[i]<a[j]){
if(a[j]<b[i]&&b[i]<b[j]){
edge[i].pb(j);
edge[j].pb(i);
}
}
int cnt=0;
REP(i,n) if(!vis[i]) dfs(i),cnt++;
cout<<mypow(2,cnt)<<'\n';
return 0;
}
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