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;
const int nx=2e3+5, mod=1e9+7;
int n, l[nx], r[nx], res=1, cnt, c[nx], f, vs[nx];
vector<int> d[nx];
pair<int, int> v[2*nx];
stack<int> a, b;
void dfs(int u)
{
vs[u]=1;
for (auto v:d[u]) if (!vs[v]) dfs(v);
}
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n;
for (int i=1; i<=n; i++) cin>>l[i]>>r[i], v[l[i]]={i, 1}, v[r[i]]={i, 0};
for (int i=1; i<=2*n; i++)
{
//printf("here %d %d %d\n", i, (int)a.size(), (int)b.size());
if (v[i].second)
{
if (a.empty()&&b.empty()) a.push(v[i].first);
else if (b.empty())
{
if (r[a.top()]>r[v[i].first]) a.push(v[i].first);
else b.push(v[i].first);
}
else if (a.empty())
{
if (r[b.top()]>r[v[i].first]) b.push(v[i].first);
else a.push(v[i].first);
}
else
{
if (max(r[a.top()], r[b.top()])<r[v[i].first]) return cout<<0, 0;
if (r[a.top()]<r[b.top()])
{
if (r[a.top()]>r[v[i].first]) a.push(v[i].first);
else b.push(v[i].first);
}
else
{
if (r[b.top()]>r[v[i].first]) b.push(v[i].first);
else a.push(v[i].first);
}
}
}
else
{
if (!a.empty()&&a.top()==v[i].first) a.pop();
else b.pop();
}
}
for (int i=1; i<=n; i++)
{
for (int j=i+1; j<=n; j++)
{
if ((l[i]<l[j]&&r[j]<r[i])||(l[j]<l[i]&&r[i]<r[j])||r[i]<l[j]||r[j]<l[i]) continue;
d[i].push_back(j);
d[j].push_back(i);
}
}
for (int i=1; i<=n; i++) if (!vs[i]) dfs(i), res=(res*2)%mod;
cout<<res;
}
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