제출 #639159

#제출 시각아이디문제언어결과실행 시간메모리
639159Dec0DeddTrampoline (info1cup20_trampoline)C++14
100 / 100
1143 ms82400 KiB
#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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