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 ff first
#define ss second
#define endl '\n'
using namespace std;
const long long INF = (long long) 1e18;
const int mod = (int) 1e9+7;
const int MAXN = (int) 2e3+5;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
ll n;
pii dis[MAXN];
vector<int> adj[MAXN];
int visited[MAXN];
int dfs(int a, int par = -1){
bool ans = 1;
for(int i: adj[a]){
if(i == par) continue;
if(visited[i] == visited[a]){
return 0;
}
visited[i] = (visited[a] == 1 ? 2 : 1);
ans &= dfs(i, a);
}
return ans;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);cout.tie(nullptr);
#ifdef Local
freopen("../IO/int.txt","r",stdin);
freopen("../IO/out.txt","w",stdout);
#endif
cin>>n;
for(int i = 1; i <= n; i++){
cin>>dis[i].ff>>dis[i].ss;
}
ll ans = 1;
sort(dis + 1, dis + n + 1);
for(int i = 1; i <= n; i++){
for(int j = i + 1; j <= n; j++){
if(dis[j].ff < dis[i].ss && dis[j].ss > dis[i].ss){
adj[i].push_back(j);
adj[j].push_back(i);
}
}
}
for(int i = 1; i <= n; i++){
if(visited[i] == 0){
visited[i] = 1;
ans *= dfs(i)*2;
ans %= mod;
}
}
cout<<ans<<endl;
#ifdef Local
cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
#endif
}
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