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 int long long
#define in(s, v) (s.lower_bound(v) != s.end() && *s.lower_bound(v) == v)
vector<vector<int>> adjlist, twok;
void dfs(int x, int p)
{
for (int k = 0; k < 19; k++)
{
if (twok[k][x] == -1) break;
twok[k + 1][x] = twok[k][twok[k][x]];
}
for (int i : adjlist[x])
{
if (i == p) continue;
twok[0][i] = x;
dfs(i, x);
}
}
int kances(int k, int x)
{
for (int i = 0; i < 20; i++)
{
if (x == -1) break;
if (k & (1LL << i)) x = twok[i][x];
}
return x;
}
signed main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int N, R, C, T, a, b, counter = 0, c, d, x;
cin >> R >> C >> N;
adjlist = vector<vector<int>>(N, vector<int>());
twok = vector<vector<int>>(20, vector<int>(N, -1));
map<int, set<pair<int, int>>> green;
set<int> visited;
vector<pair<int, int>> greens;
vector<int> subroots;
for (int i = 0; i < N; i++)
{
cin >> a >> b;
a--, b--;
if (!in(visited, a))
{
visited.insert(a);
green[a] = set<pair<int, int>>();
}
green[a].insert(pair<int, int>(b, counter));
greens.push_back(pair<int, int>(b, a));
counter++;
}
for (auto i : green)
{
for (auto j : i.second)
{
if (!in(visited, i.first + 1))
{
subroots.push_back(j.second);
continue;
}
if (green[i.first + 1].lower_bound(pair<int, int>(j.first, 0)) == green[i.first + 1].end())
{
subroots.push_back(j.second);
continue;
}
x = green[i.first + 1].lower_bound(pair<int, int>(j.first, 0))->second;
adjlist[j.second].push_back(x);
adjlist[x].push_back(j.second);
}
}
for (int i : subroots) dfs(i, -1);
cin >> T;
for (int i = 0; i < T; i++)
{
cin >> a >> b >> c >> d;
a--, b--, c--, d--;
swap(a, b);
swap(c, d);
if (a > c || b > d)
{
cout << "No\n";
continue;
}
if (b == d)
{
cout << "Yes\n";
continue;
}
if (!in(visited, b))
{
cout << "No\n";
continue;
}
if (green[b].lower_bound(pair<int, int>(a, 0)) == green[b].end())
{
cout << "No\n";
continue;
}
x = green[b].lower_bound(pair<int, int>(a, 0))->second;
x = kances(d - b - 1, x);
if (x == -1)
{
cout << "No\n";
continue;
}
cout << (greens[x].first <= c ? "Yes\n" : "No\n");
}
}
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