This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/* code by the cute ~~Dengdualang~~ PixelCat owo */
/* as cute as nacho neko (aka. my wife)! */
/* Nhade stay for a night here */
/* 183234 deng deng deng pixelcat oops */
/* (yang wang yesu)*2 */
/* ^ some weird stuff. nvm =w= */
// #pragma GCC optimize("O4,unroll-loops,no-stack-protector")
// #pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,fma")
#include <bits/stdc++.h>
#pragma pack(0)
#define int LL //__int128
#define double long double
using namespace std;
using LL = long long;
using LLL = __int128_t;
using uLL = unsigned long long;
using pii = pair<int, int>;
#define For(i, a, b) for (int i = a; i <= b; i++)
#define Fors(i, a, b, s) for (int i = a; i <= b; i += s)
#define Forr(i, a, b) for (int i = a; i >= b; i--)
#define F first
#define S second
#define L(id) (id * 2 + 1)
#define R(id) (id * 2 + 2)
#define LO(x) (x & (-x))
#define eb emplace_back
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define mkp make_pair
// #define MOD (int)(998244353)
#define MOD (int)((LL)1'000'000'007)
#define INF (int)(4e18)
// #define INF 1e9
#define EPS (1e-6)
#ifdef NYAOWO
#include "library/debug.hpp"
inline void USACO(const string &s) {
cerr << "USACO: " << s << "\n";
}
#else
#define debug(...)
inline void timer() {}
inline void USACO(const string &s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
#endif
inline void NYA() {
ios::sync_with_stdio(false);
cin.tie(0);
}
inline int gcd(int a, int b) {
return __gcd(a, b);
}
inline int lcm(int a, int b) {
return a / gcd(a, b) * b;
}
int fpow(int b, int p, const int &mod) {
int ans = 1;
while (p) {
if (p & 1) ans = ans * b % mod;
p >>= 1;
b = b * b % mod;
}
return ans;
}
int fpow(int b, int p) {
return fpow(b, p, MOD);
}
template <typename T>
inline void chmin(T &_a, const T &_b) {
if (_b < _a) _a = _b;
}
template <typename T>
inline void chmax(T &_a, const T &_b) {
if (_b > _a) _a = _b;
}
// mt19937_64 rng(
// chrono::steady_clock::now().time_since_epoch().count());
struct Node{
Node *l,*r;
char tag;
vector<pair<Node*,char>> adj;
Node* par;
char dist;
Node():l(nullptr),r(nullptr),tag(0),par(nullptr),dist(0){}
Node(const Node* nd){
if(nd){
l=nd->l; r=nd->r;
}else{
l=r=nullptr;
}
par=nullptr;
dist=0;
tag=0;
}
};
bool ac=true;
pair<Node*,char> find(Node* nd){
assert(nd);
if(!nd->par) return make_pair(nd,0);
auto res=find(nd->par);
res.S^=nd->dist;
nd->dist^=nd->par->dist;
nd->par=res.F;
return res;
}
void uni(Node* a,Node* b,int d){
if(!a || !b) return;
auto r1=find(a);
auto r2=find(b);
int dist=(r1.S^r2.S);
if(r1.F==r2.F){
ac=ac&&(dist==d);
}else{
r1.F->par=r2.F;
r1.F->dist=(dist!=d);
}
}
Node* ptr[1000010];
Node* rt[1000010];
Node* update(Node *ori,int l,int r,int p,int x){
Node* nd=new Node(ori);
if(l==r){
ptr[x]=nd;
return nd;
}
int m=(l+r)/2;
if(p<=m) nd->l=update(nd->l,l,m,p,x);
else nd->r=update(nd->r,m+1,r,p,x);
return nd;
}
void link(Node *seg,int l,int r,Node *nd,int L,int R){
if(!seg) return;
if(l>R || r<L) return;
if(l>=L && r<=R){
seg->adj.eb(nd,1);
nd->adj.eb(seg,1);
return;
}
int m=(l+r)/2;
link(seg->l,l,m,nd,L,R);
link(seg->r,m+1,r,nd,L,R);
}
void dfs(Node* nd){
if(!nd) return;
if(nd->tag>=0) return;
nd->tag=0;
for(auto &i:nd->adj){
uni(nd,i.F,i.S);
dfs(i.F);
}
}
int32_t main() {
NYA();
// nyaacho >/////<
// miku sama bless me >/////<
int n; cin>>n;
// assert(n<=2000);
vector<pii> v(n);
for(auto &i:v) cin>>i.F>>i.S;
sort(all(v));
rt[0]=nullptr;
For(i,0,n-1){
rt[i+1]=update(rt[i],1,n*2,v[i].S,i);
link(rt[i+1],1,n*2,ptr[i],v[i].F+1,v[i].S-1);
}
queue<Node*> que;
For(i,1,n) que.emplace(rt[i]);
while(!que.empty()){
auto now=que.front();
que.pop();
if(!now) continue;
if(now->tag<0) continue;
if(now->l && now->l->tag==0) que.emplace(now->l);
if(now->r && now->r->tag==0) que.emplace(now->r);
bool oao=now->tag==2 || (sz(now->adj)>0);
if(oao){
if(now->l){
now->adj.eb(now->l,0);
now->l->adj.eb(now,0);
now->l->tag=2;
}
if(now->r){
now->adj.eb(now->r,0);
now->r->adj.eb(now,0);
now->r->tag=2;
}
}
if(now->l) chmax(now->l->tag,(char)1);
if(now->r) chmax(now->r->tag,(char)1);
now->tag=-1;
}
For(i,0,n-1){
dfs(ptr[i]);
}
set<Node*> st;
For(i,0,n-1){
st.insert(find(ptr[i]).F);
}
if(ac) cout<<fpow(2,sz(st))<<"\n";
else cout<<"-1\n";
return 0;
}
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