test/verify/aoj-dsl-2-b-2.test.cpp

View this file on GitHub
Last update: 2024-07-28 19:56:12+09:00
Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_B

Depends on

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_B

#include "../../template/template.hpp"

#include "../../structure/trie/binary-trie.hpp"

int main() {
  int N, Q;
  cin >> N >> Q;
  BinaryTrie< int, 20 > bt;
  for(int i = 0; i < Q; i++) {
    int c, x, y;
    cin >> c >> x >> y;
    if(c == 0) {
      bt.add(x, -1, y);
    } else if(c == 1) {
      cout << bt.count_less(y + 1) - bt.count_less(x) << "\n";
    }
  }
}

#line 1 "test/verify/aoj-dsl-2-b-2.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_B

#line 1 "template/template.hpp"
#include <bits/stdc++.h>
#if __has_include(<atcoder/all>)
#include <atcoder/all>
#endif

using namespace std;

using int64 = long long;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
  os << p.first << " " << p.second;
  return os;
}

template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  for (int i = 0; i < (int)v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (T &in : v) is >> in;
  return is;
}

template <typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {
  return a < b && (a = b, true);
}

template <typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {
  return a > b && (a = b, true);
}

template <typename T = int64>
vector<T> make_v(size_t a) {
  return vector<T>(a);
}

template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
  return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
  t = v;
}

template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
  for (auto &e : t) fill_v(e, v);
}

template <typename F>
struct FixPoint : F {
  explicit FixPoint(F &&f) : F(std::forward<F>(f)) {}

  template <typename... Args>
  decltype(auto) operator()(Args &&...args) const {
    return F::operator()(*this, std::forward<Args>(args)...);
  }
};

template <typename F>
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{std::forward<F>(f)};
}
#line 4 "test/verify/aoj-dsl-2-b-2.test.cpp"

#line 1 "structure/trie/binary-trie.hpp"
/**
 * @brief Binary-Trie
 *
 */
template <typename T, int MAX_LOG, typename D = int>
struct BinaryTrie {
 public:
  struct Node {
    Node *nxt[2];
    D exist;
    vector<int> accept;

    Node() : nxt{nullptr, nullptr}, exist(0) {}
  };

  Node *root;

  explicit BinaryTrie() : root(new Node()) {}

  explicit BinaryTrie(Node *root) : root(root) {}

  void add(const T &bit, int idx = -1, D delta = 1, T xor_val = 0) {
    root = add(root, bit, idx, MAX_LOG, delta, xor_val);
  }

  void erase(const T &bit, T xor_val = 0) { add(bit, -1, -1, xor_val); }

  Node *find(const T &bit, T xor_val = 0) {
    return find(root, bit, MAX_LOG, xor_val);
  }

  D count(const T &bit, T xor_val = 0) {
    auto node = find(bit, xor_val);
    return node ? node->exist : 0;
  }

  pair<T, Node *> min_element(T xor_val = 0) {
    assert(root->exist > 0);
    return kth_element(0, xor_val);
  }

  pair<T, Node *> max_element(T xor_val = 0) {
    assert(root->exist > 0);
    return kth_element(root->exist - 1, xor_val);
  }

  pair<T, Node *> kth_element(D k, T xor_val = 0) {  // 0-indexed
    assert(0 <= k && k < root->exist);
    return kth_element(root, k, MAX_LOG, xor_val);
  }

  D count_less(const T &bit, T xor_val = 0) {  // < bit
    return count_less(root, bit, MAX_LOG, xor_val);
  }

 private:
  virtual Node *clone(Node *t) { return t; }

  Node *add(Node *t, T bit, int idx, int depth, D x, T xor_val,
            bool need = true) {
    if (need) t = clone(t);
    if (depth == -1) {
      t->exist += x;
      if (idx >= 0) t->accept.emplace_back(idx);
    } else {
      bool f = (xor_val >> depth) & 1;
      auto &to = t->nxt[f ^ ((bit >> depth) & 1)];
      if (!to) to = new Node(), need = false;
      to = add(to, bit, idx, depth - 1, x, xor_val, need);
      t->exist += x;
    }
    return t;
  }

  Node *find(Node *t, T bit, int depth, T xor_val) {
    if (depth == -1) {
      return t;
    } else {
      bool f = (xor_val >> depth) & 1;
      auto &to = t->nxt[f ^ ((bit >> depth) & 1)];
      return to ? find(to, bit, depth - 1, xor_val) : nullptr;
    }
  }

  pair<T, Node *> kth_element(Node *t, D k, int bit_index,
                              T xor_val) {  // 0-indexed
    if (bit_index == -1) {
      return {0, t};
    } else {
      bool f = (xor_val >> bit_index) & 1;
      if ((t->nxt[f] ? t->nxt[f]->exist : 0) <= k) {
        auto ret =
            kth_element(t->nxt[f ^ 1], k - (t->nxt[f] ? t->nxt[f]->exist : 0),
                        bit_index - 1, xor_val);
        ret.first |= T(1) << bit_index;
        return ret;
      } else {
        return kth_element(t->nxt[f], k, bit_index - 1, xor_val);
      }
    }
  }

  D count_less(Node *t, const T &bit, int bit_index, T xor_val) {
    if (bit_index == -1) return 0;
    D ret = 0;
    bool f = (xor_val >> bit_index) & 1;
    if ((bit >> bit_index & 1) and t->nxt[f]) ret += t->nxt[f]->exist;
    if (t->nxt[f ^ (bit >> bit_index & 1)])
      ret += count_less(t->nxt[f ^ (bit >> bit_index & 1)], bit, bit_index - 1,
                        xor_val);
    return ret;
  }
};
#line 6 "test/verify/aoj-dsl-2-b-2.test.cpp"

int main() {
  int N, Q;
  cin >> N >> Q;
  BinaryTrie< int, 20 > bt;
  for(int i = 0; i < Q; i++) {
    int c, x, y;
    cin >> c >> x >> y;
    if(c == 0) {
      bt.add(x, -1, y);
    } else if(c == 1) {
      cout << bt.count_less(y + 1) - bt.count_less(x) << "\n";
    }
  }
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_small_00.in	AC	5 ms	3 MB
g++	00_small_01.in	AC	5 ms	3 MB
g++	00_small_02.in	AC	5 ms	3 MB
g++	00_small_03.in	AC	4 ms	3 MB
g++	01_rand_00.in	AC	5 ms	3 MB
g++	01_rand_01.in	AC	5 ms	3 MB
g++	01_rand_02.in	AC	5 ms	3 MB
g++	01_rand_03.in	AC	5 ms	3 MB
g++	02_slight_00.in	AC	5 ms	3 MB
g++	02_slight_01.in	AC	5 ms	4 MB
g++	02_slight_02.in	AC	5 ms	4 MB
g++	02_slight_03.in	AC	11 ms	4 MB
g++	03_biased_00.in	AC	5 ms	4 MB
g++	03_biased_01.in	AC	31 ms	7 MB
g++	03_biased_02.in	AC	31 ms	7 MB
g++	03_biased_03.in	AC	27 ms	10 MB
g++	04_maximum_00.in	AC	44 ms	11 MB
g++	04_maximum_01.in	AC	45 ms	11 MB
g++	04_maximum_02.in	AC	45 ms	11 MB
g++	04_maximum_03.in	AC	44 ms	11 MB
clang++	00_small_00.in	AC	5 ms	3 MB
clang++	00_small_01.in	AC	5 ms	3 MB
clang++	00_small_02.in	AC	5 ms	3 MB
clang++	00_small_03.in	AC	4 ms	3 MB
clang++	01_rand_00.in	AC	5 ms	3 MB
clang++	01_rand_01.in	AC	5 ms	3 MB
clang++	01_rand_02.in	AC	4 ms	3 MB
clang++	01_rand_03.in	AC	4 ms	3 MB
clang++	02_slight_00.in	AC	4 ms	3 MB
clang++	02_slight_01.in	AC	5 ms	4 MB
clang++	02_slight_02.in	AC	5 ms	4 MB
clang++	02_slight_03.in	AC	11 ms	4 MB
clang++	03_biased_00.in	AC	5 ms	4 MB
clang++	03_biased_01.in	AC	33 ms	7 MB
clang++	03_biased_02.in	AC	34 ms	7 MB
clang++	03_biased_03.in	AC	29 ms	10 MB
clang++	04_maximum_00.in	AC	45 ms	11 MB
clang++	04_maximum_01.in	AC	45 ms	11 MB
clang++	04_maximum_02.in	AC	45 ms	11 MB
clang++	04_maximum_03.in	AC	45 ms	11 MB