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;
using vi = vector<int>;
using ll = long long;
using pi = pair<int,int>;
#define ST first
#define ND second
#define PB push_back
const int nax = 200 * 1000 + 10;
int r, c, t, n, nr;
map<int, int>sc;
vi T[nax];
pi p[nax];
int nxt[nax][19];
bool cmp(int a, int b) {
return p[a].ND < p[b].ND;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> r >> c >> n;
for(int i = 1; i <= n; ++i) {
cin >> p[i].ST >> p[i].ND;
sc[p[i].ST];
}
for(auto &it : sc) it.ND = ++nr;
for(int i = 1; i <= n; ++i) {
T[sc[p[i].ST]].PB(i);
}
for(int i = 1; i <= nr; ++i) {
sort(T[i].begin(), T[i].end(), cmp);
}
for(int i = 1; i <= n; ++i) {
if(sc.find(p[i].ST + 1) == sc.end()) {
nxt[i][0] = i;
} else {
int y = sc[p[i].ST + 1];
int low = 0, high = (int)T[y].size() - 1, mid;
while(low <= high) {
mid = (low + high) / 2;
if(p[T[y][mid]].ND >= p[i].ND) {
high = mid - 1;
} else {
low = mid + 1;
}
}
high++;
if(high == (int)T[y].size()) {
nxt[i][0] = i;
} else {
nxt[i][0] = T[y][high];
}
}
}
for(int step = 1; step < 19; ++step) {
for(int i = 1; i <= n; ++i) {
nxt[i][step] = nxt[nxt[i][step - 1]][step - 1];
}
}
cin >> t;
while(t--) {
int x, y, a, b;
cin >> x >> y >> a >> b;
if(x > a || y > b) {
cout << "No\n";
continue;
}
if(x == a) {
cout << "Yes\n";
continue;
}
if(sc.find(x) == sc.end()) {
cout << "No\n";
continue;
}
int start = sc[x];
int low = 0, high = (int)T[start].size() - 1, mid;
while(low <= high) {
mid = (low + high) / 2;
if(p[T[start][mid]].ND >= y) {
high = mid - 1;
} else {
low = high + 1;
}
}
high++;
if(high == (int)T[start].size()) {
cout << "No\n";
continue;
}
int w = T[start][high];
for(int step = 18; step >= 0; --step) {
if(p[nxt[w][step]].ST <= a) {
w = nxt[w][step];
}
}
if((p[w].ST != a && p[w].ST != (a - 1)) || p[w].ND > b) {
cout << "No\n";
continue;
}
cout << "Yes\n";
}
}
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