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>
#define ll long long
#define ld long double
#define ff first
#define ss second
#define pb push_back
#define rep(i, b) for(int i = 0; i < (b); ++i)
#define rep2(i,a,b) for(int i = a; i <= (b); ++i)
#define rep3(i,a,b,c) for(int i = a; i <= (b); i+=c)
#define count_bits(x) __builtin_popcountll((x))
#define all(x) (x).begin(),(x).end()
#define size(x) (int)(x).size()
#define forall(it,x) for(auto& it:(x))
using namespace std;
//mt19937 mt;void random(){mt.seed(chrono::time_point_cast<chrono::milliseconds>(chrono::high_resolution_clock::now()).time_since_epoch().count());}
//ll rand(ll a, ll b) {return a + (mt() % (b-a+1));}
const int INF = 1e9+50;
const ll INF_L = 1e18+40;
const ll MOD = 1e9+7;
ll pair_to_int(pair<int,int> a)
{
ll p = a.ff;
ll p2 = a.ss;
return p + p2*1000000005LL;
}
pair<int,int> int_to_pair(ll x)
{
ll p2 = x / 1000000005LL;
ll p = x - p2*1000000005LL;
swap(p2,p);
return {p2,p};
}
unordered_map<int, int> mapa;
vector<int> pon[200001];
unordered_map<ll,ll> next_[19];
int find_next(int y, int x)
{
// cout << "finding " << y << " " << x << " \n";
int pocz = 0;
int kon = size(pon[y])-1;
int wyn = -1;
while(pocz <= kon)
{
int srod = (pocz+kon)/2;
if(pon[y][srod] >= x)
{
kon = srod-1;
wyn = pon[y][srod];
}
else
{
pocz = srod+1;
}
}
return wyn;
}
void solve()
{
int R,C,n;
cin >> R >> C >> n;
vector<int> byly;
vector<pair<int,int>> points;
// cout << pair_to_int({2137,56}) << " " << int_to_pair(pair_to_int({2137,56})).ff << " " << int_to_pair(pair_to_int({2137,56})).ss << " xd\n";
rep(i,n)
{
int x,y;
cin >>y >> x;
if(mapa[y] == 0) mapa[y] = i+1;
pon[mapa[y]].pb(x);
points.pb({y,x});
}
forall(it, mapa) sort(all(pon[it.ss]));
int pop = -1;
forall(it, mapa)
{
//cout << it.ff << " " << it.ss << " b\n";
if(it.ff != pop) byly.pb(it.ff);
pop = it.ff;
}
sort(all(byly));
rep(i,size(byly))
{
//cout << byly[i] << i << " " <<size(byly)-1 << " byly\n";
if(i == size(byly)-1 || byly[i] != byly[i+1]-1)
{
forall(it2,pon[mapa[byly[i]]])
{
next_[0][pair_to_int({byly[i],it2})] = pair_to_int({byly[i],it2});
}
}
else
{
forall(it2,pon[mapa[byly[i]]])
{
int iter = find_next(mapa[byly[i+1]],it2);
if(iter != -1)
{
next_[0][pair_to_int({byly[i],it2})] = pair_to_int({byly[i+1],iter});
}
else
{
next_[0][pair_to_int({byly[i],it2})] = pair_to_int({byly[i],it2});
}
}
}
}
rep2(k,1,18)
{
forall(it,points)
{
next_[k][pair_to_int(it)] = next_[k-1][next_[k-1][pair_to_int(it)]];
}
}
int q;
cin >> q;
rep(i,q)
{
int y1,x1,y2,x2;
cin >> y1 >> x1 >> y2 >> x2;
int odl = y2-y1-1;
if(y2 < y1 || x2 < x1)
{
cout << "No\n"; continue;
}
if(y1 == y2)
{
cout << "Yes\n"; continue;
}
int aktpoint_iter = find_next(mapa[y1],x1);
if(aktpoint_iter == -1)
{
cout << "No\n"; continue;
}
pair<int,int> aktpoint = {y1,aktpoint_iter};
rep(k,18)
{
// cout << aktpoint.ff << " " << aktpoint.ss << " " << next_[k][pair_to_int(aktpoint)] << " aktpoint\n";
if(odl & (1 << k))
{
aktpoint = int_to_pair(next_[k][pair_to_int(aktpoint)]);
}
}
if(aktpoint.ff == y2-1 && aktpoint.ss <= x2)
{
cout << "Yes\n";
}
else
{
cout << "No\n";
}
}
}
int main()
{
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
// random();
int t = 1;
//cin >> t;
while(t--) solve();
}
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