This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define int long long
#define all(a) a.begin(),a.end()
const int mxN = (int)2e6+2;
const int MOD = (int)1e9+7;
int n, a[mxN], cnt[mxN];
struct Dsu{
vector<int> p, sz;
int SZ;
Dsu(int n): p(n,-1), sz(n,1), SZ(n){}
int findSet(int i){return p[i]==-1?i:p[i]=findSet(p[i]); }
bool isSameSet(int i, int j){return findSet(i)==findSet(j); }
bool unionSet(int i, int j){
int x = findSet(i), y = findSet(j);
if(x==y) return false;
if(sz[x]<sz[y]) swap(x,y);
sz[x]+=sz[y], p[y]=x; SZ--;
return true;
}
};
int poww(int a, int b){
if(!b) return 1;
int x = poww(a,b/2);
x*=x,x%=MOD;
if(b&1)x*=a,x%=MOD;
return x;
}
int32_t main()
{
ios_base::sync_with_stdio(false); cin.tie(0);
cin >> n;
for(int i = 0; i < n; i++){
int x, y; cin >> x >> y;
a[x]=a[y]=i;
}
set<pair<int,int>> S; Dsu dsu(n);
for(int i = 1; i <= 2*n; i++){
if(cnt[a[i]]){
S.erase({cnt[a[i]],a[i]});
auto itr = S.lower_bound(make_pair(cnt[a[i]],-1));
while(itr!=S.end()){
if(!dsu.unionSet(itr->se,a[i])){ cout << 0; return 0; }
itr++;
}
}
else S.insert({i,a[i]}),cnt[a[i]]=i;
}
cout << poww(2,dsu.SZ);
}
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