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 long long long
using namespace std;
const long MOD = 1e9+7;
const int N = 1 << 21;
struct seg {
int l, r, i, prer;
seg() { l = r = i = MOD; prer = -1; }
seg(int l, int r, int i): l(l), r(r), i(i) { prer = -1;}
bool operator<(const seg& rhs) const { return r < rhs.r; }
};
int n;
vector<seg> a;
int dsu[N];
int root(int v) { return (dsu[v] < 0 ? v : dsu[v] = root(dsu[v])); }
void merge(int u, int v) {
if((u = root(u)) == (v = root(v))) return;
dsu[u] += dsu[v];
dsu[v] = u;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n;
for(int i = 0, x, y; i < n; i++) {
cin >> x >> y;
a.emplace_back(x, y, i);
}
fill(dsu, dsu+N, -1);
sort(a.begin(), a.end());
priority_queue<seg> pq;
for(seg s: a) {
vector<seg> to_add;
seg add = s;
while(!pq.empty() && pq.top().r > s.l) {
seg tmp = pq.top();
pq.pop();
if(tmp.l > s.l) {
to_add.push_back(tmp);
continue;
}
add.l = min(tmp.l, add.l);
merge(tmp.i, s.i + n);
merge(tmp.i + n, s.i);
}
pq.push(add);
for(seg todo: to_add) pq.push(todo);
}
for(int i = 0; i < n; i++) if(root(i) == root(i + n)) cout << 0, exit(0);
long ans = 1;
for(int i = 0; i < n; i++) if(root(i) == i || root(i + n) == i + n) ans = ans * 2 % MOD;
cout << ans;
}
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