This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// بِسْمِ اللَّهِ الرَّحْمَنِ الرَّحِيمِ
// Written by Ilia Rahbar
// #pragma GCC optimize ("O3,no-stack-protector,unroll-loops,fast-math")
// #pragma GCC target ("abm,bmi,bmi2,tbm,avx2")
#include <bits/stdc++.h>
using namespace std;
#define int int64_t
#define ai(x) array <int, x>
#define F first
#define S second
const int MOD = 1e9 + 7, N = 1e5 + 100;
ai(2) a[N];
int n, l[N * 2], vs[N], ans = 1, cv[N];
set <int> s;
set <int> :: iterator itr;
struct DSU
{
vector <int> v[N];
int t[N];
bool d[N];
DSU(int x)
{
for (int i = 1; i <= x; i++)
{
v[i].push_back(i);
t[i] = i;
d[i] = 0;
}
}
bool mr(int x, int y)
{
if (t[x] == t[y])
{
if (d[x] == d[y])
{
cout << 0;
exit(0);
}
return 0;
}
if (v[t[x]].size() < v[t[y]].size())
swap(x, y);
bool nt = (d[x] == d[y]);
for (auto i : v[t[y]])
{
t[i] = t[x];
v[t[x]].push_back(i);
if (nt)
d[i] = !d[i];
}
return 1;
}
};
int32_t main()
{
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n;
for (int i = 0; i < n; i++)
cin >> a[i][0] >> a[i][1];
sort(a, a+n);
for (int i = 0; i < n; i++)
{
l[a[i][0]] = i+1;
l[a[i][1]] = i+1;
}
DSU d(n);
for (int i = 1; i <= n * 2; i++)
{
if (vs[l[i]])
{
s.erase(l[i]);
itr = s.end();
while (s.size())
{
itr--;
if (*itr < l[i])
break;
d.mr(l[i], *itr);
if (itr == s.begin())
break;
}
}
else
{
vs[l[i]] = 1;
s.insert(l[i]);
}
}
for (int i = 1; i <= n; i++)
{
if (!cv[d.t[i]])
{
ans = (ans * 2) % MOD;
cv[d.t[i]] = 1;
}
}
cout << ans;
}
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