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 fr first
#define sc second
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define endl '\n'
#define sz(x) (int)((x).size())
#define vec vector
using namespace std;
template <typename T> inline bool umin (T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; }
template <typename T> inline bool umax (T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; }
typedef long double ld;
typedef long long ll;
typedef unsigned long long ull;
typedef pair <int, int> pii;
inline void solve () {
int R, C, n; cin >> R >> C >> n;
const int lg = 31;
vec <pii> gr (n);
map <int, vector <int>> mp;
for (auto &[x, y] : gr) {
cin >> x >> y;
mp[x].pb(y);
}
for (auto &[_, y] : mp) sort(all(y));
sort(all(gr));
vec <vec <int>> up (n, vec <int> (lg));
/// up[i][j] = p
/// x[p] = x[i] + 2^j
/// y[p] > y[i], y[p] -> min
map <pii, int> cp;
for (int i = 0; i < n; ++i) {
auto [x, y] = gr[i]; cp[gr[i]] = i;
auto it = lower_bound(all(gr), make_pair(x + 1, y));
if (it == gr.end() || it->fr != x + 1) up[i][0] = -1;
else up[i][0] = (it - gr.begin());
}
for (int i = 1; i < lg; ++i) {
for (int j = 0; j < n; ++j) {
if (!~up[j][i - 1]) up[j][i] = -1;
else up[j][i] = up[up[j][i - 1]][i - 1];
}
}
auto yes = [&] () { cout << "Yes" << endl; };
auto no = [&] () { cout << "No" << endl; };
int q; cin >> q;
while (q--) {
int x1, y1, x2, y2; cin >> x1 >> y1 >> x2 >> y2;
if (x1 == x2) {
if (y1 <= y2) yes();
else no();
continue;
}
if (x1 > x2) {
no();
continue;
}
if (!sz(mp[x1])) {
no();
continue;
}
auto it = lower_bound(all(mp[x1]), y1);
if (it == mp[x1].end()) {
no();
continue;
}
int go = cp[{x1, *it}], D = x2 - x1 - 1;
for (int p = lg - 1; ~p && ~go; --p) {
if (D >> p & 1) go = up[go][p];
}
if (~go && gr[go].fr + 1 == x2 && gr[go].sc <= y2) yes();
else no();
}
}
signed main () {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif// LOCAL
int t = 1; //cin >> t;
while (t--) solve();
return 0;
}
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