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=2e6+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];
struct mnsegtree
{
pair<int, int> d[4*nx];
void update(int l, int r, int i, int idx, int vl, int id)
{
if (idx<l||r<idx) return;
if (l==r) return d[i]={vl, id}, void();
int md=(l+r)/2;
update(l, md, 2*i, idx, vl, id);
update(md+1, r, 2*i+1, idx, vl, id);
d[i]=min(d[2*i], d[2*i+1]);
}
pair<int, int> query(int l, int r, int i, int ql, int qr)
{
//cout<<"debug "<<l<<' '<<r<<' '<<ql<<' '<<qr<<'\n';
if (qr<l||r<ql||qr<ql) return {1e9, 1e9};
if (ql<=l&&r<=qr) return d[i];
int md=(l+r)/2;
return min(query(l, md, 2*i, ql, qr), query(md+1, r, 2*i+1, ql, qr));
}
} smn;
struct mxsegtree
{
pair<int, int> d[4*nx];
void update(int l, int r, int i, int idx, int vl, int id)
{
if (idx<l||r<idx) return;
if (l==r) return d[i]={vl, id}, void();
int md=(l+r)/2;
update(l, md, 2*i, idx, vl, id);
update(md+1, r, 2*i+1, idx, vl, id);
d[i]=max(d[2*i], d[2*i+1]);
}
pair<int, int> query(int l, int r, int i, int ql, int qr)
{
if (qr<l||r<ql||qr<ql) return {-1e9, -1e9};
if (ql<=l&&r<=qr) return d[i];
int md=(l+r)/2;
return max(query(l, md, 2*i, ql, qr), query(md+1, r, 2*i+1, ql, qr));
}
} smx;
void dfs(int u)
{
vs[u]=1;
for (auto v:d[u])
{
if (vs[v])
{
if (c[v]==c[u]) f=1;
continue;
}
c[v]=!c[u];
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];
smn.update(1, 2*n, 1, l[i], r[i], i);
smx.update(1, 2*n, 1, l[i], r[i], i);
smn.update(1, 2*n, 1, r[i], l[i], i);
smx.update(1, 2*n, 1, r[i], l[i], i);
}
for (int i=1; i<=n; i++)
{
auto mn=smn.query(1, 2*n, 1, l[i]+1, r[i]-1), mx=smx.query(1, 2*n, 1, l[i]+1, r[i]-1);
//cout<<"mn "<<mn.first<<' '<<mn.second<<'\n';
if (mn.first<l[i]) d[i].push_back(mn.second), d[mn.second].push_back(i);
if (mx.first>r[i] )d[i].push_back(mx.second), d[mx.second].push_back(i);
}
for (int i=1; i<=n; i++) if (!vs[i]) dfs(i), res=(res*2)%mod;
if (f) cout<<0;
else cout<<res;
}
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