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 pii pair<int, int>
#define pp pair<pii, int>
const int N = 2e5+10;
const int K = 20;
vector<int> G[N];
pii p[N];
set<pii> s[N];
int r, c, n, indeg[N], up[N][K+1];
void dfs(int v, int p) {
up[v][0]=p;
for (int i=1; i<=K; ++i) up[v][i]=up[up[v][i-1]][i-1];
for (auto u : G[v]) {
if (u == p) continue;
dfs(u, v);
}
}
int fv(int i, int x) {
for (int k=K; k>=0; --k) {
int idx=up[i][k];
if (p[idx].first < x) i=idx;
}
return i;
}
void solve() {
ios_base::sync_with_stdio(0);
cin.tie(NULL);
cout.tie(NULL);
cin>>r>>c>>n;
set<int> st;
map<int, int> sc;
for (int i=1; i<=n; ++i) {
int a, b; cin>>a>>b;
p[i]={a, b};
st.insert(a);
}
int i=1;
for (auto u : st) sc[u]=i++;
for (int i=1; i<=n; ++i) s[sc[p[i].first]].insert({p[i].second, i});
for (int i=1; i<=n; ++i) {
int a=p[i].first, b=p[i].second;
if (sc.find(a+1) == sc.end()) continue;
int nxt=sc[a+1];
a=sc[a];
auto ptr=s[nxt].lower_bound({b, -1});
if (ptr == s[nxt].end()) continue;
G[ptr->second].push_back(i);
++indeg[i];
}
for (int i=1; i<=n; ++i) {
if (indeg[i] == 0) dfs(i, i);
}
int q; cin>>q;
for (int i=1; i<=q; ++i) {
int is, js, ie, je;
cin>>is>>js>>ie>>je;
if (js > je) cout<<"No\n";
else if (is == ie) cout<<"Yes\n";
else {
if (sc.find(is) == sc.end()) {
cout<<"No\n";
continue;
}
is=sc[is];
auto ptr=s[is].lower_bound({js, -1});
if (ptr == s[is].end()) {
cout<<"No\n";
continue;
}
int f=fv(ptr->second, ie);
if (p[f].first == ie-1 && p[f].second <= je) cout<<"Yes\n";
else cout<<"No\n";
}
}
for (int i=1; i<=n; ++i) s[i].clear(), G[i].clear(), indeg[i]=0;
}
int main() {
solve();
}
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