Submission #1142355

#	Time	Username	Problem	Language	Result	Execution time	Memory
1142355		stefanneagu	Trampoline (info1cup20_trampoline)	C++20	100 / 100	314 ms	38736 KiB

trampoline

#include <bits/stdc++.h>

using namespace std;

const int nmax = 2e5 + 5, inf = 1e9 + 1;

int rmq[nmax][18];

struct punct {
  int a, b, i;
  int x;
  const bool operator < (punct ult) const {
    if(ult.a != a) {
      return a > ult.a;
    }
    return b < ult.b;
  }
} v[nmax];

map<int, int> f;

void normalize(int n) {
  for(int i = 1; i <= n; i++) {
    f[v[i].a];
  }
  int cnt = 1;
  for(auto &it : f) {
    it.second = cnt++;
  }
  for(int i = 1; i <= n; i++) {
    v[i].x = f[v[i].a];
  }
}

int32_t main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  int useless, n;
  cin >> useless >> useless >> n;
  for(int i = 1; i <= n; i++) {
    cin >> v[i].a >> v[i].b;
    v[i].i = i;
  }
  sort(v + 1, v + n + 1);
  normalize(n);
  v[0].b = inf;
  vector<vector<pair<int, int>>> poz(f.size() + 5);
  for(int i = 1; i <= n; i++) {
    poz[v[i].x].push_back({v[i].b, i});
  }
  for(int i = 1; i <= n; i++) {
    if(f.find(v[i].a + 1) == f.end()) {
      continue;
    }
    int l = 0, r = poz[v[i].x + 1].size() - 1, ans = 0;
    while(l <= r) {
      int mid = (l + r) / 2;
      if(poz[v[i].x + 1][mid].first >= v[i].b) {
        ans = poz[v[i].x + 1][mid].second;
        r = mid - 1;
      } else {
        l = mid + 1;
      }
    }
    // cout << i << ": " << ans <<  '\n';
    rmq[i][0] = ans;
    for(int j = 1; (1 << j) <= n; j++) {
      rmq[i][j] = rmq[rmq[i][j - 1]][j - 1];
    }
  }
  int q;
  cin >> q;
  while(q--) {
    int a, b, x, y;
    cin >> a >> b >> x >> y;
    if(a > x || b > y || x - a > n + 2) {
      cout << "No\n";
      continue;
    }
    if(a == x) {
      cout << "Yes\n";
      continue;
    } else if(f.find(a) == f.end()) {
      cout << "No\n";
      continue;
    }
    int dif = x - a - 1;
    a = f[a];
    int l = 0, r = poz[a].size() - 1, i = 0;
    while(l <= r) {
      int mid = (l + r) / 2;
      if(poz[a][mid].first >= b) {
        i = poz[a][mid].second;
        r = mid - 1;
      } else {
        l = mid + 1;
      }
    }
    // cout << dif << '\n';
    for(int bit = 0; (1 << bit) <= dif; bit++) {
      if(dif & (1 << bit)) {
        i = rmq[i][bit];
      }
    }
    cout << (v[i].b <= y ? "Yes\n" : "No\n");
  }
  return 0;
}

• Subtask 1: 23 / 23
• Subtask 2: 20 / 20
• Subtask 3: 11 / 11
• Subtask 4: 19 / 19
• Subtask 5: 27 / 27