Submission #1182699

#TimeUsernameProblemLanguageResultExecution timeMemory
1182699asli_bgCurtains (NOI23_curtains)C++20
100 / 100
817 ms142504 KiB
#include<bits/stdc++.h>
using namespace std;

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;

#define int long long

typedef pair<int,int> pii;
typedef vector<pii> vii;
typedef vector<int> vi;
typedef vector<bool> vb;

#define FOR(i,a) for(int i=0;i<(a);i++)
#define FORE(i,a,b) for(int i=(a);i<(b);i++)

#define all(x) x.begin(),x.end()
#define fi first
#define se second
#define pb push_back
#define sp <<" "<<

#define cont(x) for(auto el:x) cout<<el<<' ';cout<<endl;
#define contp(x) for(auto el:x) cout<<el.fi<<'-'<<el.se<<' ';cout<<endl;

#define DEBUG(x) cout<<#x sp x<<endl;
#define carp(x,y) ((x%MOD)*(y%MOD))%MOD
#define topla(x,y) ((x%MOD)+(y%MOD))%MOD
#define mid (l+r)/2

const int MAXN=5e5+5;
const int MOD=1e9+7;
const int INF=1e18;

int n,m,q;

vii ar;

vi tut[MAXN], tut2[MAXN];
int yakin[MAXN];
bool ans[MAXN];

void dnc(vector<pair<pii,int>> qq,int l=1,int r=n){
    if(qq.empty()) return;
    if(l==r){
        bool f=false;
        for(auto el:tut[l]){
            if(el==l) f=true;
        }
        for(auto el:qq){
            int ind=el.se;
            ans[ind]=f;
        }
        return;
    }

    //mid ile ortadan ikiye ayrılanlar için ans hesapla

    int sonra,once;

    vii vec;

    for(int i=mid;i>=l;i--){
        yakin[i]=INF;

        sonra=INF;
        once=-INF;
        for(auto el:tut[i]){
            if(el>r) continue;
            if(el>=mid) sonra=min(sonra,el);
            else once=max(once,el);
        }

        if(sonra>=mid) yakin[i]=min(yakin[i],sonra);

        while(!vec.empty() and (vec.back().fi<=once+1 or vec.back().se>yakin[i])){
            yakin[i]=min(yakin[i],vec.back().se);
            vec.pop_back();
        }

        vec.pb({i,yakin[i]});
    }

    vec.clear();

    FORE(i,mid+1,r+1){
        yakin[i]=-INF;

        sonra=-INF;
        once=INF;
        for(auto el:tut2[i]){
            if(el<l) continue;
            if(el<=mid+1) sonra=max(sonra,el);
            else once=min(once,el);
        }

        if(sonra<=mid+1) yakin[i]=max(yakin[i],sonra);

        while(!vec.empty() and (once-1<=vec.back().fi or vec.back().se<yakin[i])){
            yakin[i]=max(yakin[i],vec.back().se);
            vec.pop_back();     
        }

        vec.pb({i,yakin[i]});
    }

    vector<pair<pii,int>> sol,sag;
    FOR(i,qq.size()){
        int bas=qq[i].fi.fi;
        int son=qq[i].fi.se;
        int ind=qq[i].se;
        if(bas>=mid+1) sag.pb(qq[i]);
        else if(son<=mid) sol.pb(qq[i]);
        else{
            //cevabını hesapladım
            if(yakin[bas]<=son and yakin[son]>=bas) ans[ind]=true;
            else ans[ind]=false;
        }
    }

    dnc(sol,l,mid);
    dnc(sag,mid+1,r);
}

bool mm(pii a,pii b){
    return a.se<b.se;
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    //freopen("out.txt","w",stdout);
    
    cin>>n>>m>>q;
    ar.resize(m+1);
    FORE(i,1,m+1){
        cin>>ar[i].fi>>ar[i].se;
    }

    sort(all(ar),mm);

    FORE(i,1,m+1){
        tut[ar[i].fi].pb(ar[i].se);
        tut2[ar[i].se].pb(ar[i].fi);
    }

    vector<pair<pii,int>> qq;

    FORE(i,1,q+1){
        int l,r;
        cin>>l>>r;
        qq.pb({{l,r},i});
    }

    dnc(qq);

    FORE(i,1,q+1){
        if(ans[i]) cout<<"YES"<<endl;
        else cout<<"NO"<<endl;
    }
    
}   
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