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 ll long long
#define ii pair<int,int>
#define fi first
#define se second
#define endl '\n'
#define puf push_front
#define pof pop_front
#define pub push_back
#define pob pop_back
#define lb lower_bound
#define ub upper_bound
#define rep(x,s,e) for (auto x=s-(s>e);x!=e-(s>e);s<e?x++:x--)
#define all(x) (x).begin(),(x).end()
#define sz(x) (int) (x).size()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
inline void read(int &x){
x=0;
char ch=getchar_unlocked();
while (ch&16){
x=x*10+(ch&15);
ch=getchar_unlocked();
}
}
const int MOD=1000000007;
int n;
ii arr[1000005];
vector<int> al[1000005];
bool col[1000005];
bool vis[1000005];
struct node{
vector<int> v[4000010];
const int BUF=2000005;
node (){
}
void update(int i,int j,int k){
i+=BUF,j+=BUF+1;
for (;i<j;i>>=1,j>>=1){
if (i&1){
v[i].pub(k);
i++;
}
if (j&1){
j--;
v[j].pub(k);
}
}
}
void query(int i,int k,int idx){
i+=BUF;
while (i){
for (auto &it:v[i]) if (arr[it].se<k){
al[it].pub(idx);
al[idx].pub(it);
}
i>>=1;
}
}
} root=node();
struct node2{
int arr[4000010];
const int BUF=2000005;
node2(){
memset(arr,-1,sizeof(arr));
}
void update(int i,int k){
i+=BUF;
while (i){
arr[i]=max(arr[i],k);
i>>=1;
}
}
int query(int i,int j){
i+=BUF,j+=BUF+1;
int res=-1;
for (;i<j;i>>=1,j>>=1){
if (i&1){
res=max(res,arr[i]);
i++;
}
if (j&1){
j--;
res=max(res,arr[j]);
}
}
return res;
}
} white=node2(),black=node2();
void dfs(int i,int p){
vis[i]=true;
for (auto &it:al[i]){
if (it==p) continue;
col[it]=!col[i];
dfs(it,i);
}
}
int ans=1;
int main(){
cin.tie(0);
cout.tie(0);
cin.sync_with_stdio(false);
read(n);
rep(x,0,n){
read(arr[x].fi),read(arr[x].se);
}
sort(arr,arr+n,[](ii i,ii j){
return i.se<j.se;
});
rep(x,0,n){
//cout<<"arr: "<<x<<" "<<arr[x].fi<<" "<<arr[x].se<<endl;
root.query(arr[x].fi,arr[x].se,x);
root.update(arr[x].fi,arr[x].se,x);
}
rep(x,0,n) if (!vis[x]){
dfs(x,-1);
ans=2*ans%MOD;
}
rep(x,0,n){
if (!col[x]){ //white
white.update(arr[x].fi,arr[x].se);
}
else{ //black
black.update(arr[x].fi,arr[x].se);
}
}
rep(x,0,n){
if (!col[x]){ //white
if (white.query(arr[x].fi,arr[x].se)>arr[x].se) ans=0;
}
else{ //black
if (black.query(arr[x].fi,arr[x].se)>arr[x].se) ans=0;
}
}
cout<<ans<<endl;
}
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