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>
#define F first
#define S second
#define pb push_back
#define ppb pop_back
#define ep insert
#define endl '\n'
#define elif else if
#define pow pwr
#define sqrt sqrtt
#define int long long
#define ll long long
typedef unsigned long long ull;
using namespace std;
const int N=1e6+5,M=1e9+7;
int n,l[N],r[N];
vector<int> adj[N];
bool c[N],vis[N];
int pow(int x,int y){
if (!y) return 1;
int z=pow(x,y/2);
z=z*z%M;
if (y&1) z=z*x%M;
return z;
}
void dfs(int x,bool col){
c[x]=col;vis[x]=1;
for (auto u:adj[x]) if (!vis[u]) dfs(u,!col);
return;
}
int32_t main(){
ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
cin>>n;
for (int i=1;i<=n;i++) cin>>l[i]>>r[i];
for (int i=1;i<=n;i++){
for (int j=i+1;j<=n;j++){
int L=max(l[i],l[j]),R=min(r[i],r[j]);
if (L>R) continue;
if (L==l[i] && R==r[i]) continue;
if (L==l[j] && R==r[j]) continue;
adj[i].pb(j);
adj[j].pb(i);
}
}
int cmp=0;
for (int i=1;i<=n;i++){
if (vis[i]) continue;
dfs(i,0);
cmp++;
}
bool ok=true;
for (int i=1;i<=n;i++) for (auto u:adj[i]) ok&=(c[u]!=c[i]);
cout<<pow(2,cmp)*ok<<endl;
return 0;
}
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