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;
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define REP(i,n) for(int i=0;i<n;++i)
#define REP1(i,n) for(int i=1;i<=n;++i)
#define SZ(i) int(i.size())
#define eb emplace_back
#define ALL(i) i.begin(),i.end()
#define X first
#define Y second
#ifdef tmd
#define IOS()
#define debug(...) fprintf(stderr,"#%d: %s = ",__LINE__,#__VA_ARGS__),_do(__VA_ARGS__);
template<typename T> void _do(T &&x){cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T &&x, S &&...y){cerr<<x<<", ";_do(y...);}
template<typename It> ostream& _printRng(ostream &os,It bg,It ed)
{
os<<"{";
for(It it=bg;it!=ed;it++) {
os<<(it==bg?"":",")<<*it;
}
os<<"}";
return os;
}
template<typename T> ostream &operator << (ostream &os,vector<T> &v){return _printRng(os,v.begin(), v.end());}
template<typename T> void pary(T bg, T ed){_printRng(cerr,bg,ed);cerr<<endl;}
#else
#define IOS() ios_base::sync_with_stdio(0);cin.tie(0);
#define endl '\n'
#define debug(...)
#define pary(...)
#endif
const int MAXN = 1000006;
const ll MOD = 1000000007;
int n;
pair<int,int> rng[MAXN];
bool isTwo[MAXN];
vector<int> check[MAXN*2];
bool isZero () {
vector<int> lstk = {MOD}, rstk = {MOD};
REP (i, n) {
while (lstk.back() < rng[i].X) {
lstk.pop_back();
}
while (rstk.back() < rng[i].X) {
rstk.pop_back();
}
// debug(lstk, rstk);
if (lstk.back() > rstk.back()) {
swap(lstk, rstk);
}
if (lstk.back() > rng[i].Y) {
lstk.eb(rng[i].Y);
} else if (rstk.back() > rng[i].Y) {
rstk.eb(rng[i].Y);
} else {
return true;
}
}
return false;
}
/*********************GoodLuck***********************/
int main () {
IOS();
cin >> n;
REP (i, n) {
cin >> rng[i].X >> rng[i].Y;
isTwo[i] = true;
}
sort(rng, rng+n);
if (isZero()) {
cout << 0 << endl;
return 0;
}
set<int> st;
REP (i, n) {
auto ptr = st.lower_bound(rng[i].X);
if (ptr != st.end() && *ptr < rng[i].Y) {
isTwo[i] = false;
}
ptr = st.lower_bound(rng[i].Y);
if (ptr != st.end()) {
check[*ptr].eb(i);
}
st.insert(rng[i].Y);
}
st.clear();
int cur = n-1;
for (int i=n*2; i>=1; i--) {
for (auto v : check[i]) {
debug(i, v);
auto ptr = st.lower_bound(rng[v].X);
if (ptr != st.end() && *ptr < rng[v].Y) {
isTwo[v] = false;
}
}
if (cur >= 0 && rng[cur].Y == i) {
st.insert(rng[cur].X);
cur--;
}
}
ll ans = 1;
REP (i, n) {
if (isTwo[i]) {
debug(i);
ans = ans * 2 % MOD;
}
}
cout << ans << endl;
}
/*
3
1 5
2 4
3 6
*/
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