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;
#define F first
#define S second
#define endl '\n'
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int mod = 1e9 + 7;
int mul(int a, int b) {
return 1ll*a*b%mod;
}
int pw(int a, int b) {
int out = 1;
while (b) {
if (b&1) out = mul(out, a);
a = mul(a,a);
b>>=1;
}
return out;
}
const int N = 1e6 + 50;
int n, L[N], R[N], par[N], sz[N], cnt;
set<pii> sl, sr;
int getroot(int u) {
if (u == par[u]) return u;
return par[u] = getroot(par[u]);
}
void uniset(int u, int v) {
u = getroot(u), v = getroot(v);
if (u == v) return;
if (sz[u] < sz[v]) swap(u, v);
par[v] = u;
sz[u] += sz[v];
cnt--;
}
void solve() {
cin >> n;
cnt = n;
for (int i = 1; i <= n; i++) {
cin >> L[i] >> R[i];
sl.insert({L[i], i});
sr.insert({R[i], i});
par[i] = i;
sz[i] = 1;
}
bool flg = 1;
while (sr.size()) {
int u = sr.begin()->S;
sr.erase(sr.begin());
sl.erase({L[u], u});
for (auto it = sl.lower_bound({L[u], 0}); it != sl.end() && it->F < R[u]; it++) {
int v = it->S;
if (getroot(u) == getroot(v)) {
flg = 0;
break;
}
uniset(u, v);
}
if (!flg) break;
}
if (!flg) return cout << 0 << endl, void();
cout << pw(2, cnt) << endl;
}
int main() {
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
solve();
return 0;
}
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