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;
#define sz(x) (int) (x).size()
#define all(x) (x).begin(), (x).end()
#define show(x) cerr << #x << " is " << x << endl;
#define show2(x,y) cerr << #x << " is " << x << " " << #y << " is " << y << endl;
#define show3(x,y,z) cerr << #x << " is " << x << " " << #y << " is " << y << " " << #z << " is " << z << endl;
#define tern(cond, a, b) (cond ? a : b)
#define l first
#define r second
typedef long long lint;
typedef pair<int,int> ii;
const lint mod = 1000000007;
int p[2000005];
int ans;
int findSet(int u){
if(p[u] == u) return u;
else return p[u] = findSet(p[u]);
}
inline bool unionSet(int u, int v){
u = findSet(u), v = findSet(v);
if(u == v) return false;
p[u] = v;
ans--;
return true;
}
ii arr[1000005];
const int N = 1<<21;
map<int,int> tree[2*N];
inline map<int,int> merge(map<int,int> A, map<int,int> B){
if(sz(A) > sz(B)) swap(A,B);
for(ii x : A) B[x.first] += x.second;
return B;
}
inline void update(int u, int h, int v){
//show3(u,h,v);
int i = arr[u].r + N;
for(;i > 0;i >>= 1){
if(v == 1){
auto it = tree[i].find(h);
if(it == tree[i].end()) tree[i][h] = v;
else it->second += v;
}
else{
auto it = tree[i].find(h);
if(it->second == 1) tree[i].erase(it);
else it->second--;
}
}
}
inline map<int,int> query(int l, int r){
map<int,int> res;
for(l += N, r += N;l < r;l >>= 1, r >>= 1){
if(l&1) res = merge(res, tree[l++]);
if(r&1) res = merge(res, tree[--r]);
}
return res;
}
vector<int> belongsto[1000005];
vector<int> adj[1000005];
int color[1000005];
inline int strip(int x){
return (x|1)^1;
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(0);
int n; cin >> n;
ans = n;
for(int i = 0;i < n;i++) cin >> arr[i].l >> arr[i].r;
sort(arr,arr+n);
for(int i = 0;i < n;i++){
p[i] = i;
belongsto[i].push_back(i);
}
for(int u = 0;u < n;u++){
vector<int> stuffs = {};
auto M = query(arr[u].l, arr[u].r);
for(ii x : M) stuffs.push_back(x.first);
//show(u);
//for(int i = 0;i < sz(stuffs);i++) cerr << stuffs[i] << " "; cerr << endl;
if(sz(stuffs) == 0){
update(u, 2*u, 1);
continue;
}
sort(all(stuffs));
for(int i = 1;i < sz(stuffs);i++) unionSet(stuffs[i]/2, stuffs[0]/2);
for(int i = 1;i < sz(stuffs);i++){
if(strip(stuffs[i-1]) == strip(stuffs[i])){
cout << 0;
return 0;
}
}
int newhead = stuffs[0];
//show(newhead);
for(int h : stuffs){
if(strip(h) == strip(newhead)) continue;
for(int x : belongsto[h/2]){
update(x, strip(h) + color[x], -1);
if((h&1) != (newhead&1)) color[x] ^= 1;
update(x, strip(newhead) + color[x], 1);
belongsto[newhead/2].push_back(x);
}
belongsto[h/2].clear();
}
unionSet(u, newhead/2);
assert(findSet(u) != u);
belongsto[newhead/2].push_back(u);
color[u] = (newhead&1)^1;
update(u, strip(newhead) + color[u], 1);
}
lint actlans = 1;
for(int i = 0;i < ans;i++){
actlans *= 2;
if(actlans >= mod) actlans -= mod;
}
cout << actlans;
}
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