test/verify/yosupo-staticrmq-3.test.cpp

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• Last update: 2024-04-27 01:27:28+09:00
• Problem: https://judge.yosupo.jp/problem/staticrmq

Depends on

• other/vector-pool.hpp
• Red-Black-Tree(赤黒木) (structure/bbst/red-black-tree.hpp)
• template/template.hpp

Code

// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/staticrmq

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

#include "../../other/vector-pool.hpp"

#include "../../structure/bbst/red-black-tree.hpp"

int main() {
  int N, Q;
  cin >> N >> Q;
  vector< int > A(N);
  cin >> A;
  auto f = [](int a, int b) { return min(a, b); };
  RedBlackTree< int, decltype(f) > rbt(2 * N, f, inf);
  auto root = rbt.build(A);
  while(Q--) {
    int l, r;
    cin >> l >> r;
    cout << rbt.query(root, l, r) << "\n";
  }
}

#line 1 "test/verify/yosupo-staticrmq-3.test.cpp"
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/staticrmq

#line 1 "template/template.hpp"
#include <bits/stdc++.h>

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(forward<F>(f)) {}

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

template <typename F>
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{forward<F>(f)};
}
#line 4 "test/verify/yosupo-staticrmq-3.test.cpp"

#line 1 "other/vector-pool.hpp"
template <class T>
struct VectorPool {
  vector<T> pool;
  vector<T *> stock;
  int ptr;

  VectorPool() = default;

  VectorPool(int sz) : pool(sz), stock(sz) {}

  inline T *alloc() { return stock[--ptr]; }

  inline void free(T *t) { stock[ptr++] = t; }

  void clear() {
    ptr = (int)pool.size();
    for (int i = 0; i < pool.size(); i++) stock[i] = &pool[i];
  }
};
#line 6 "test/verify/yosupo-staticrmq-3.test.cpp"

#line 1 "structure/bbst/red-black-tree.hpp"
/**
 * @brief Red-Black-Tree(赤黒木)
 *
 */
template <typename Monoid, typename F>
struct RedBlackTree {
 public:
  enum COLOR { BLACK, RED };

  struct Node {
    Node *l, *r;
    COLOR color;
    int level, cnt;
    Monoid key, sum;

    Node() {}

    Node(const Monoid &k)
        : key(k),
          sum(k),
          l(nullptr),
          r(nullptr),
          color(BLACK),
          level(0),
          cnt(1) {}

    Node(Node *l, Node *r, const Monoid &k) : key(k), color(RED), l(l), r(r) {}

    bool is_leaf() const { return l == nullptr; }
  };

 private:
  inline Node *alloc(Node *l, Node *r) {
    auto t = &(*pool.alloc() = Node(l, r, M1));
    return update(t);
  }

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

  Node *rotate(Node *t, bool b) {
    t = clone(t);
    Node *s;
    if (b) {
      s = clone(t->l);
      t->l = s->r;
      s->r = t;
    } else {
      s = clone(t->r);
      t->r = s->l;
      s->l = t;
    }
    update(t);
    return update(s);
  }

  Node *submerge(Node *l, Node *r) {
    if (l->level < r->level) {
      r = clone(r);
      Node *c = (r->l = submerge(l, r->l));
      if (r->color == BLACK && c->color == RED && c->l && c->l->color == RED) {
        r->color = RED;
        c->color = BLACK;
        if (r->r->color == BLACK) return rotate(r, true);
        r->r->color = BLACK;
      }
      return update(r);
    }
    if (l->level > r->level) {
      l = clone(l);
      Node *c = (l->r = submerge(l->r, r));
      if (l->color == BLACK && c->color == RED && c->r && c->r->color == RED) {
        l->color = RED;
        c->color = BLACK;
        if (l->l->color == BLACK) return rotate(l, false);
        l->l->color = BLACK;
      }
      return update(l);
    }
    return alloc(l, r);
  }

  Node *build(int l, int r, const vector<Monoid> &v) {
    if (l + 1 >= r) return alloc(v[l]);
    return merge(build(l, (l + r) >> 1, v), build((l + r) >> 1, r, v));
  }

  Node *update(Node *t) {
    t->cnt = count(t->l) + count(t->r) + (!t->l || !t->r);
    t->level = t->l ? t->l->level + (t->l->color == BLACK) : 0;
    t->sum = f(f(sum(t->l), t->key), sum(t->r));
    return t;
  }

  void dump(Node *r, typename vector<Monoid>::iterator &it) {
    if (r->is_leaf()) {
      *it++ = r->key;
      return;
    }
    dump(r->l, it);
    dump(r->r, it);
  }

  Node *merge(Node *l) { return l; }

  Monoid query(Node *t, int a, int b, int l, int r) {
    if (r <= a || b <= l) return M1;
    if (a <= l && r <= b) return t->sum;
    return f(query(t->l, a, b, l, l + count(t->l)),
             query(t->r, a, b, r - count(t->r), r));
  }

 public:
  VectorPool<Node> pool;
  const F f;
  const Monoid M1;

  RedBlackTree(int sz, const F &f, const Monoid &M1) : pool(sz), M1(M1), f(f) {
    pool.clear();
  }

  inline Node *alloc(const Monoid &key) { return &(*pool.alloc() = Node(key)); }

  inline int count(const Node *t) { return t ? t->cnt : 0; }

  inline const Monoid &sum(const Node *t) { return t ? t->sum : M1; }

  pair<Node *, Node *> split(Node *t, int k) {
    if (!t) return {nullptr, nullptr};
    if (k == 0) return {nullptr, t};
    if (k >= count(t)) return {t, nullptr};
    t = clone(t);
    Node *l = t->l, *r = t->r;
    pool.free(t);
    if (k < count(l)) {
      auto pp = split(l, k);
      return {pp.first, merge(pp.second, r)};
    }
    if (k > count(l)) {
      auto pp = split(r, k - count(l));
      return {merge(l, pp.first), pp.second};
    }
    return {l, r};
  }

  tuple<Node *, Node *, Node *> split3(Node *t, int a, int b) {
    auto x = split(t, a);
    auto y = split(x.second, b - a);
    return make_tuple(x.first, y.first, y.second);
  }

  template <typename... Args>
  Node *merge(Node *l, Args... rest) {
    Node *r = merge(rest...);
    if (!l || !r) return l ? l : r;
    Node *c = submerge(l, r);
    c->color = BLACK;
    return c;
  }

  Node *build(const vector<Monoid> &v) { return build(0, (int)v.size(), v); }

  vector<Monoid> dump(Node *r) {
    vector<Monoid> v((size_t)count(r));
    auto it = begin(v);
    dump(r, it);
    return v;
  }

  string to_string(Node *r) {
    auto s = dump(r);
    string ret;
    for (int i = 0; i < s.size(); i++) {
      ret += std::to_string(s[i]);
      ret += ", ";
    }
    return ret;
  }

  void insert(Node *&t, int k, const Monoid &v) {
    auto x = split(t, k);
    t = merge(merge(x.first, alloc(v)), x.second);
  }

  Monoid erase(Node *&t, int k) {
    auto x = split(t, k);
    auto y = split(x.second, 1);
    auto v = y.first->key;
    pool.free(y.first);
    t = merge(x.first, y.second);
    return v;
  }

  Monoid query(Node *t, int a, int b) { return query(t, a, b, 0, count(t)); }

  void set_element(Node *&t, int k, const Monoid &x) {
    t = clone(t);
    if (t->is_leaf()) {
      t->key = t->sum = x;
      return;
    }
    if (k < count(t->l))
      set_element(t->l, k, x);
    else
      set_element(t->r, k - count(t->l), x);
    t = update(t);
  }

  void push_front(Node *&t, const Monoid &v) { t = merge(alloc(v), t); }

  void push_back(Node *&t, const Monoid &v) { t = merge(t, alloc(v)); }

  Monoid pop_front(Node *&t) {
    auto ret = split(t, 1);
    t = ret.second;
    return ret.first->key;
  }

  Monoid pop_back(Node *&t) {
    auto ret = split(t, count(t) - 1);
    t = ret.first;
    return ret.second->key;
  }
};
#line 8 "test/verify/yosupo-staticrmq-3.test.cpp"

int main() {
  int N, Q;
  cin >> N >> Q;
  vector< int > A(N);
  cin >> A;
  auto f = [](int a, int b) { return min(a, b); };
  RedBlackTree< int, decltype(f) > rbt(2 * N, f, inf);
  auto root = rbt.build(A);
  while(Q--) {
    int l, r;
    cin >> l >> r;
    cout << rbt.query(root, l, r) << "\n";
  }
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	example_00	AC	6 ms	4 MB
g++	max_random_00	AC	442 ms	52 MB
g++	max_random_01	AC	440 ms	52 MB
g++	max_random_02	AC	441 ms	52 MB
g++	max_random_03	AC	440 ms	52 MB
g++	max_random_04	AC	427 ms	52 MB
g++	random_00	AC	325 ms	41 MB
g++	random_01	AC	373 ms	49 MB
g++	random_02	AC	202 ms	9 MB
g++	random_03	AC	63 ms	45 MB
g++	random_04	AC	102 ms	30 MB
g++	small_00	AC	7 ms	4 MB
g++	small_01	AC	6 ms	4 MB
g++	small_02	AC	6 ms	4 MB
g++	small_03	AC	6 ms	4 MB
g++	small_04	AC	6 ms	4 MB
g++	small_05	AC	6 ms	4 MB
g++	small_06	AC	6 ms	4 MB
g++	small_07	AC	6 ms	4 MB
g++	small_08	AC	6 ms	4 MB
g++	small_09	AC	6 ms	4 MB
g++	small_width_query_00	AC	377 ms	52 MB
g++	small_width_query_01	AC	371 ms	52 MB
g++	small_width_query_02	AC	364 ms	52 MB
g++	small_width_query_03	AC	354 ms	52 MB
g++	small_width_query_04	AC	371 ms	52 MB
clang++	example_00	AC	6 ms	4 MB
clang++	max_random_00	AC	470 ms	52 MB
clang++	max_random_01	AC	469 ms	52 MB
clang++	max_random_02	AC	476 ms	52 MB
clang++	max_random_03	AC	470 ms	52 MB
clang++	max_random_04	AC	470 ms	52 MB
clang++	random_00	AC	335 ms	41 MB
clang++	random_01	AC	374 ms	49 MB
clang++	random_02	AC	217 ms	9 MB
clang++	random_03	AC	65 ms	45 MB
clang++	random_04	AC	95 ms	30 MB
clang++	small_00	AC	6 ms	4 MB
clang++	small_01	AC	6 ms	4 MB
clang++	small_02	AC	6 ms	4 MB
clang++	small_03	AC	6 ms	4 MB
clang++	small_04	AC	6 ms	4 MB
clang++	small_05	AC	6 ms	4 MB
clang++	small_06	AC	6 ms	4 MB
clang++	small_07	AC	6 ms	4 MB
clang++	small_08	AC	6 ms	4 MB
clang++	small_09	AC	6 ms	4 MB
clang++	small_width_query_00	AC	408 ms	52 MB
clang++	small_width_query_01	AC	412 ms	52 MB
clang++	small_width_query_02	AC	400 ms	52 MB
clang++	small_width_query_03	AC	403 ms	52 MB
clang++	small_width_query_04	AC	396 ms	52 MB

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