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;
template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl
using ll = long long;
const ll mod = 1e9+7;
const int maxn = 1e6 + 5;
int n;
int a[maxn], b[maxn];
vector<int> g[maxn];
void add_edge(int u, int v) {
g[u].push_back(v);
g[v].push_back(u);
}
bool isect(int u, int v, int x, int y) {
if (u>x) {
swap(u,x);
swap(v,y);
}
assert(u<x);
// u.....v
// x.....y
return x<v && v<y;
// u........v
// x...y
//u...v
// x..y
}
int color[maxn];
bool dfs(int at) {
for (int to: g[at]) {
if (color[to]==-1) {
color[to]=1^color[at];
if (!dfs(to)) return false;
} else if (color[to]==color[at]) {
return false;
}
}
return true;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
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 (isect(a[i],b[i],a[j],b[j])) {
add_edge(i,j);
}
}
}
// for (int i=1; i<=n; i++) {
// watch(i);
// for (int j: g[i]) cout<<j<<" ";
// cout<<endl;
// }
memset(color,-1,sizeof(color));
ll res=1;
for (int i=1; i<=n; i++) {
if (color[i]==-1) {
color[i]=0;
if (!dfs(i)) out(0);
res=res*2%mod;
}
}
cout<<res<<endl;
return 0;
}
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