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 N = 2e3 + 2;
int n, a[N], b[N], col[N], ans;
vector <int> g[N];
int main(){
cin >> n;
for(int i = 1; i <= n; i ++){
cin >> a[i] >> b[i];
}
for(int i = 1; i <= n; i ++){
for(int j = i + 1; j < n; j ++){
if(a[i] > a[j])
swap(a[i], a[j]), swap(b[i], b[j]);
}
}
for(int i = 1; i <= n; i ++){
for(int j = i + 1; j <= n; j ++){
if(a[j] <= b[i] && b[i] <= b[j] && a[i] <= a[j] && a[j] <= b[i]){
g[i].push_back(j);
g[j].push_back(i);
}
}
}
bool ok = 1;
int cnt = 0;
for(int i = 1; i <= n; i ++){
if(!col[i]){
cnt ++;
queue <int> q;
col[i] = 1;
q.push(i);
while(!q.empty()){
int v = q.front();
q.pop();
for(int to : g[v]){
if(!col[to]){
col[to] = 3 - col[v];
q.push(to);
} else {
if(col[v] == col[to])
ok = 0;
}
}
}
}
}
if(!ok){
puts("0");
return 0;
}
int ans = 1, mod = 1e9 + 7;
for(int i = 1; i <= cnt; i ++){
ans *= 2;
ans %= mod;
}
cout << ans << endl;
}
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