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 int64_t llo;
#define mp make_pair
#define pb push_back
#define a first
#define b second
//#define endl '\n'
int n;
int mod=1e9+7;
pair<int,int> it[1000001];
int vis[1000001];
//vector<int> adj[1000001];
int st=0;
vector<pair<int,int>> tree[4000001];
vector<pair<int,int>> tree4[4000001];
int tree2[4000001];
int tree3[4000001];
int tree5[4000001];
int tree6[4000001];
int ind[1000001];
vector<pair<int,int>> ac;
vector<pair<pair<int,int>,int>> cc;
void build(int no,int l,int r){
if(l==r){
tree[no].pb({ac[l].b,l});
}
else{
int mid=(l+r)/2;
int ind=0;
int ind2=0;
build(no*2+1,l,mid);
build(no*2+2,mid+1,r);
while(ind<tree[no*2+1].size() and ind2<tree[no*2+2].size()){
if(tree[no*2+1][ind].a<tree[no*2+2][ind2].a){
tree[no].pb(tree[no*2+1][ind]);
ind+=1;
}
else{
tree[no].pb(tree[no*2+2][ind2]);
ind2+=1;
}
}
while(ind<tree[no*2+1].size()){
tree[no].pb(tree[no*2+1][ind]);
ind+=1;
}
while(ind2<tree[no*2+2].size()){
tree[no].pb(tree[no*2+2][ind2]);
ind2+=1;
}
}
}
void build2(int no,int l,int r){
tree5[no]=3*n;
tree6[no]=3*n;
if(l==r){
tree4[no].pb({cc[l].a.b,cc[l].b});
}
else{
int mid=(l+r)/2;
int ind=0;
int ind2=0;
build2(no*2+1,l,mid);
build2(no*2+2,mid+1,r);
while(ind<tree4[no*2+1].size() and ind2<tree4[no*2+2].size()){
if(tree4[no*2+1][ind].a>tree4[no*2+2][ind2].a){
tree4[no].pb(tree4[no*2+1][ind]);
ind+=1;
}
else{
tree4[no].pb(tree4[no*2+2][ind2]);
ind2+=1;
}
}
while(ind<tree4[no*2+1].size()){
tree4[no].pb(tree4[no*2+1][ind]);
ind+=1;
}
while(ind2<tree4[no*2+2].size()){
tree4[no].pb(tree4[no*2+2][ind2]);
ind2+=1;
}
}
/* cout<<l<<":"<<r<<endl;
for(auto j:tree4[no]){
cout<<j.a<<"<"<<j.b<<endl;
}*/
return ;
}
void update(int no,int l,int r,int i,int col){
if(l==r){
}
else{
int mid=(l+r)/2;
if(i<=mid){
update(no*2+1,l,mid,i,col);
}
else{
update(no*2+2,mid+1,r,i,col);
}
}
if(col==1){
tree2[no]=max(tree2[no],ac[i].b);
}
else{
tree3[no]=max(tree3[no],ac[i].b);
}
}
int query(int no,int l,int r,int aa,int bb,int val,int col){
if(r<aa or l>bb){
return -1;
}
if(aa<=l and r<=bb){
//return -1;
/*for(int i=l;i<=r;i++){
if(i<r-1){
if(tree[no][i-l].a>tree[no][i-l+1].a){
while(true){
continue;
}
}
}
}
for(int i=l;i<=r;i++){
if(tree[no][i-l].a>val and vis[tree[no][i-l].b]==0){
return tree[no][i-l].b;
}
}
if(col==1){
if(tree2[no]>val){
st=1;
}
}
if(col==2){
if(tree3[no]>val){
st=1;
}
}
return -1;*/
while(tree[no].size()){
if(vis[tree[no].back().b]){
tree[no].pop_back();
continue;
}
break;
}
if(col==1){
if(tree2[no]>val){
st=1;
}
}
if(col==2){
if(tree3[no]>val){
st=1;
}
}
if(tree[no].size()==0){
return -1;
}
if(tree[no].back().a<=val){
return -1;
}
/*if(vis[tree[no].back().b]){
while(true){
continue;
}
}*/
return tree[no].back().b;
}
else{
int mid=(l+r)/2;
int x=query(no*2+1,l,mid,aa,bb,val,col);
if(x!=-1){
return x;
}
return query(no*2+2,mid+1,r,aa,bb,val,col);
}
}
int query2(int no,int l,int r,int aa,int bb,int val,int col){
if(r<aa or l>bb){
return -1;
}
if(aa<=l and r<=bb){
//return -1;
/*for(int i=l;i<=r;i++){
if(tree4[no][i-l].a<val and vis[tree4[no][i-l].b]==0){
// cout<<val<<","<<tree4[no][i-l].b<<","<<l<<","<<r<<":"<<tree4[no].size()<<endl;
return tree4[no][i-l].b;
}
}
if(col==1){
if(tree5[no]<val){
st=1;
}
}
if(col==2){
if(tree6[no]<val){
st=1;
}
}
return -1;*/
while(tree4[no].size()){
if(vis[tree4[no].back().b]){
tree4[no].pop_back();
continue;
}
break;
}
if(col==1){
if(tree5[no]<val){
st=1;
}
}
if(col==2){
if(tree6[no]<val){
st=1;
}
}
if(tree4[no].size()==0){
return -1;
}
if(tree4[no].back().a>=val){
return -1;
}
return tree4[no].back().b;
}
else{
int mid=(l+r)/2;
int x=query2(no*2+1,l,mid,aa,bb,val,col);
if(x!=-1){
return x;
}
return query2(no*2+2,mid+1,r,aa,bb,val,col);
}
}
void update2(int no,int l,int r,int i,int col){
if(l==r){
}
else{
int mid=(l+r)/2;
if(i<=mid){
update2(no*2+1,l,mid,i,col);
}
else{
update2(no*2+2,mid+1,r,i,col);
}
}
if(col==1){
tree5[no]=min(tree5[no],cc[i].a.b);
}
else{
tree6[no]=min(tree6[no],cc[i].a.b);
}
}
void dfs(int no,int col=1){
vis[no]=col;
//cout<<no<<endl;
update(0,0,n-1,no,col);
update2(0,0,n-1,ind[no],col);
//cout<<no<<endl;
int low=no;
int high=n-1;
while(low<high-1){
int mid=(low+high)/2;
if(ac[mid].a<=ac[no].b){
low=mid;
}
else{
high=mid;
}
}
int ind2=low;
if(ac[high].a<=ac[no].b){
ind2=max(ind2,high);
}
while(true){
int x=query(0,0,n-1,no,ind2,ac[no].b,col);//add details
if(x==-1){
break;
}
dfs(x,3-col);
}
low=0;
high=ind[no];
while(low<high-1){
int mid=(low+high)/2;
if(cc[mid].a.a>=ac[no].a){
high=mid;
}
else{
low=mid;
}
}
ind2=high;
if(cc[low].a.a>=ac[no].a){
ind2=min(ind2,low);
}
//cout<<ind2<<','<<ind[no]<<":"<<no<<endl;
while(true){
int x=query2(0,0,n-1,ind2,ind[no],ac[no].a,col);//add details
// cout<<no<<','<<ind2<<","<<ind[no]<<endl;
if(x==-1){
break;
}
dfs(x,3-col);
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin>>n;
for(int i=0;i<n;i++){
cin>>it[i].a>>it[i].b;
ac.pb({it[i].a,it[i].b});
}
sort(ac.begin(),ac.end());
for(int i=0;i<n;i++){
cc.pb({{ac[i].b,ac[i].a},i});
}
sort(cc.begin(),cc.end());
for(int i=0;i<n;i++){
ind[cc[i].b]=i;
}
/* for(auto j:cc){
cout<<j.a.a<<","<<j.a.b<<","<<j.b<<endl;
}*/
/*for(int i=0;i<n;i++){
ind[ac[i].b]=i;
}*/
/* for(int i=0;i<n;i++){
for(int j=0;j<n;j++){
if(j==i){
continue;
}
if(it[i].a<=it[j].a and it[i].b<=it[j].b and it[i].b>=it[j].a){
adj[i].pb(j);
adj[j].pb(i);
// cout<<i<<","<<j<<endl;
}
}
}*/
build(0,0,n-1);
build2(0,0,n-1);
int co=0;
for(int i=0;i<n;i++){
if(vis[i]==0){
dfs(i);
co+=1;
}
}
if(st){
cout<<0<<endl;
}
else{
llo ans=1;
for(int i=0;i<co;i++){
ans*=2;
ans%=mod;
}
cout<<ans<<endl;
}
return 0;
}
Compilation message (stderr)
port_facility.cpp: In function 'void build(int, int, int)':
port_facility.cpp:38:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ind<tree[no*2+1].size() and ind2<tree[no*2+2].size()){
~~~^~~~~~~~~~~~~~~~~~~~
port_facility.cpp:38:41: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ind<tree[no*2+1].size() and ind2<tree[no*2+2].size()){
~~~~^~~~~~~~~~~~~~~~~~~~
port_facility.cpp:48:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ind<tree[no*2+1].size()){
~~~^~~~~~~~~~~~~~~~~~~~
port_facility.cpp:52:13: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ind2<tree[no*2+2].size()){
~~~~^~~~~~~~~~~~~~~~~~~~
port_facility.cpp: In function 'void build2(int, int, int)':
port_facility.cpp:70:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ind<tree4[no*2+1].size() and ind2<tree4[no*2+2].size()){
~~~^~~~~~~~~~~~~~~~~~~~~
port_facility.cpp:70:42: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ind<tree4[no*2+1].size() and ind2<tree4[no*2+2].size()){
~~~~^~~~~~~~~~~~~~~~~~~~~
port_facility.cpp:80:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ind<tree4[no*2+1].size()){
~~~^~~~~~~~~~~~~~~~~~~~~
port_facility.cpp:84:13: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ind2<tree4[no*2+2].size()){
~~~~^~~~~~~~~~~~~~~~~~~~~
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