| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1344700 | kuzma_a | Curtains (NOI23_curtains) | C++20 | 897 ms | 218748 KiB |
#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3,unroll-loops")
#include <bits/stdc++.h>
//#define int long long
using namespace std;
constexpr int sq = 317;
vector<vector<int>>mn(sq,vector<int>(100000,100000));
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n,m,q;
cin>>n>>m>>q;
if(n <= 2000){
int sq = sqrt(n)+1;
set<int>rt[n],lft[n];
for(int i = 0;i<m;i++){
int l,r;
cin>>l>>r;
l--;
r--;
rt[l].insert(r);
lft[r].insert(l);
}
for(int i = 0;i<sq;i++){
for(int j = i*sq;j<n;j++){
mn[i][j] = j;
while(lft[j].size() && *lft[j].begin() < i*sq){
lft[j].erase(lft[j].begin());
}
if(lft[j].size()){
int ps = j;
while(ps >= *lft[j].begin()-1){
if(ps < i*sq){
break;
}
ps = min(ps,mn[i][ps]);
if(ps >= *lft[j].begin()){
ps--;
}
else{
if(ps <= mn[i][ps]){
break;
}
}
}
mn[i][j] = ps;
}
}
}
/*
for(int i = 0;i<n;i++){
cout<<mn[0][i]<<' ';
}
*/
map<pair<int,int>,int>mp;
vector<pair<int,int>>qr[sq];
vector<pair<int,int>>qq;
while(q--){
int l,r;
cin>>l>>r;
l--;
r--;
qq.push_back(make_pair(l,r));
int b = l/sq;
if(b*sq == l){
if(mn[b][r] == b*sq-1){
mp[make_pair(l,r)] = 1;
}
else{
mp[make_pair(l,r)] = 0;
}
}
else{
qr[b].push_back(make_pair(r,l));
}
}
//cout<<endl;
for(int i = 0;i<sq;i++){
sort(qr[i].begin(),qr[i].end());
for(int j = qr[i].size()-1;j>=0;j--){
int l = qr[i][j].second,r = qr[i][j].first;
int go = r;
if(r >= (i+1)*sq){
//cout<<1<<endl;
go = mn[i+1][r];
}
int rr = l-1;
//cout<<l<<' '<<min(go,(i+1)*sq-1)<<endl;
for(int j = l;j<=min(go,(i+1)*sq-1);j++){
while(rt[j].size() && *--rt[j].end() > r){
//cout<<"DEL"<<' '<<j<<' '<<*--rt[j].end()<<endl;
rt[j].erase(--rt[j].end());
}
if(j > rr+1){
break;
}
else{
//cout<<j<<' '<<rt[j].size()<<endl;
if(rt[j].size()){
rr = max(rr,*--rt[j].end());
}
}
}
//cout<<l<<' '<<r<<' '<<rr<<' '<<go<<endl;
if(rr >= go){
mp[make_pair(l,r)] = 1;
}
else{
mp[make_pair(l,r)] = 0;
}
}
}
for(auto it:qq){
if(mp[it]){
cout<<"YES";
}
else{
cout<<"NO";
}
cout<<"\n";
}
}
else if(n <= 100000 && q <= 100000 && m <= 100000){
set<int>rt[n],lft[n];
for(int i = 0;i<m;i++){
int l,r;
cin>>l>>r;
l--;
r--;
rt[l].insert(r);
lft[r].insert(l);
}
for(int i = 0;i<sq;i++){
for(int j = i*sq;j<n;j++){
mn[i][j] = j;
while(lft[j].size() && *lft[j].begin() < i*sq){
lft[j].erase(lft[j].begin());
}
if(lft[j].size()){
int ps = j;
while(ps >= *lft[j].begin()-1){
if(ps < i*sq){
break;
}
ps = min(ps,mn[i][ps]);
if(ps >= *lft[j].begin()){
ps--;
}
else{
if(ps <= mn[i][ps]){
break;
}
}
}
mn[i][j] = ps;
}
}
}
/*
for(int i = 0;i<n;i++){
cout<<mn[0][i]<<' ';
}
*/
map<pair<int,int>,int>mp;
vector<pair<int,int>>qr[sq];
vector<pair<int,int>>qq;
while(q--){
int l,r;
cin>>l>>r;
l--;
r--;
qq.push_back(make_pair(l,r));
int b = l/sq;
if(b*sq == l){
if(mn[b][r] == b*sq-1){
mp[make_pair(l,r)] = 1;
}
else{
mp[make_pair(l,r)] = 0;
}
}
else{
qr[b].push_back(make_pair(r,l));
}
}
//cout<<endl;
for(int i = 0;i<sq;i++){
sort(qr[i].begin(),qr[i].end());
for(int j = qr[i].size()-1;j>=0;j--){
int l = qr[i][j].second,r = qr[i][j].first;
int go = r;
if(r >= (i+1)*sq){
//cout<<1<<endl;
go = mn[i+1][r];
}
int rr = l-1;
//cout<<l<<' '<<min(go,(i+1)*sq-1)<<endl;
for(int j = l;j<=min(go,(i+1)*sq-1);j++){
while(rt[j].size() && *--rt[j].end() > r){
//cout<<"DEL"<<' '<<j<<' '<<*--rt[j].end()<<endl;
rt[j].erase(--rt[j].end());
}
if(j > rr+1){
break;
}
else{
//cout<<j<<' '<<rt[j].size()<<endl;
if(rt[j].size()){
rr = max(rr,*--rt[j].end());
}
}
}
//cout<<l<<' '<<r<<' '<<rr<<' '<<go<<endl;
if(rr >= go){
mp[make_pair(l,r)] = 1;
}
else{
mp[make_pair(l,r)] = 0;
}
}
}
for(auto it:qq){
if(mp[it]){
cout<<"YES";
}
else{
cout<<"NO";
}
cout<<"\n";
}
}
else{
set<int>rt[n],lft[n];
for(int i = 0;i<m;i++){
int l,r;
cin>>l>>r;
l--;
r--;
rt[l].insert(r);
lft[r].insert(l);
}
//for(int i = 0;i<sq;i++){
int i = 0;
for(int j = 0;j<n;j++){
mn[i][j] = j;
while(lft[j].size() && *lft[j].begin() < i*sq){
lft[j].erase(lft[j].begin());
}
if(lft[j].size()){
int ps = j;
while(ps >= *lft[j].begin()-1){
if(ps < 0){
break;
}
ps = min(ps,mn[i][ps]);
if(ps >= *lft[j].begin()){
ps--;
}
else{
if(ps <= mn[i][ps]){
break;
}
}
}
mn[i][j] = ps;
}
}
//}
/*
for(int i = 0;i<n;i++){
cout<<mn[0][i]<<' ';
}
*/
while(q--){
int l,r;
cin>>l>>r;
l--;
r--;
if(mn[0][r] == -1){
cout<<"YES";
}
else{
cout<<"NO";
}
cout<<endl;
}
}
}
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