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:heavy_check_mark: test/1_mytest/rbst_test.test.cpp

Depends on

Code

#define PROBLEM "https://judge.yosupo.jp/problem/aplusb"
#include "my_template.hpp"
#include "alg/monoid/min.hpp"
#include "ds/randomized_bst/rbst_monoid.hpp"
#include "random/base.hpp"

void test() {
  using Mono = Monoid_Min<int>;
  RBST_Monoid<Mono, false> X;
  FOR(1000) {
    X.reset();
    int N = RNG(1, 20);
    int Q = RNG(1, 1000);
    vc<int> A(N);
    FOR(i, N) A[i] = RNG(1, 100);
    auto root = X.new_node(A);

    FOR(Q) {
      int t = RNG(0, 5);
      if (t == 0) {
        int i = RNG(0, N);
        assert(A[i] == X.get(root, i));
      }
      if (t == 1) {
        int i = RNG(0, N);
        int x = RNG(1, 100);
        root = X.set(root, i, x);
        A[i] = x;
      }
      if (t == 2) {
        int i = RNG(0, N);
        int x = RNG(1, 100);
        root = X.multiply(root, i, x);
        A[i] = Mono::op(A[i], x);
      }
      if (t == 3) {
        int L = RNG(0, N);
        int R = RNG(0, N);
        if (L > R) swap(L, R);
        ++R;
        vc<int> B = {A.begin() + L, A.begin() + R};
        assert(X.prod(root, L, R) == MIN(B));
      }
      if (t == 4) {
        int L = RNG(0, N);
        int R = RNG(0, N);
        if (L > R) swap(L, R);
        ++R;
        root = X.reverse(root, L, R);
        reverse(A.begin() + L, A.begin() + R);
      }
    }
  }
}

void solve() {
  int a, b;
  cin >> a >> b;
  cout << a + b << "\n";
}

signed main() {
  test();
  solve();

  return 0;
}
#line 1 "test/1_mytest/rbst_test.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/aplusb"
#line 1 "my_template.hpp"
#if defined(USE_PCH)
#include <my_template_compiled.hpp>
#else
#if defined(__GNUC__)
#include <bits/allocator.h>
#pragma GCC optimize("Ofast,unroll-loops")
// 環境によってはコンパイル成功かつ実行時エラー
#pragma GCC target("avx2,popcnt")
#endif
#include <bits/stdc++.h>
#include <cassert>

using namespace std;

using ll = long long;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using i128 = __int128;
using u128 = unsigned __int128;
using f128 = __float128;

template <class>
constexpr bool dependent_false = false;

template <class T>
constexpr T infty = [] {
  static_assert(dependent_false<T>, "infty<T> is not defined");
  return T{};
}();
template <>
constexpr int infty<int> = 1'010'000'000;
template <>
constexpr ll infty<ll> = 2'020'000'000'000'000'000;
template <>
constexpr u32 infty<u32> = infty<int>;
template <>
constexpr u64 infty<u64> = infty<ll>;
template <>
constexpr i128 infty<i128> = i128(infty<ll>) * 2'000'000'000'000'000'000;
template <>
constexpr double infty<double> = infty<i128>;
template <>
constexpr long double infty<long double> = infty<i128>;

using pi = pair<ll, ll>;
using vi = vector<ll>;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using pq_max = priority_queue<T>;
template <class T>
using pq_min = priority_queue<T, vector<T>, greater<T>>;

#define vv(type, name, h, ...) \
  vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...)   \
  vector<vector<vector<type>>> name( \
      h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...)       \
  vector<vector<vector<vector<type>>>> name( \
      a, vector<vector<vector<type>>>(       \
             b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))

// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR1_R(a) for (ll i = ll(a) - 1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = ll(a) - 1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = ll(b) - 1; i >= ll(a); --i)
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload3(__VA_ARGS__, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)

#define all(x) (x).begin(), (x).end()
#define len(x) ll(x.size())
#define elif else if

#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second

#define stoi stoll

// require y > 0
template <typename T>
T floor(T x, T y) {
  return x / y - (x % y < 0);
}

// require y > 0
template <typename T>
T ceil(T x, T y) {
  return (x / y) + (x % y > 0);
}

// require y > 0
template <typename T>
T bmod(T x, T y) {
  T r = x % y;
  return (r < 0 ? r + y : r);
}

// require y > 0
template <typename T>
pair<T, T> divmod(T x, T y) {
  T q = x / y, r = x % y;
  if (r < 0) --q, r += y;
  return {q, r};
}

constexpr auto TEN = [] {
  array<u64, 20> A{};
  A[0] = 1;
  for (int i = 1; i < 20; ++i) A[i] = 10 * A[i - 1];
  return A;
}();

template <typename T, typename U>
T SUM(const U &A) {
  return std::accumulate(A.begin(), A.end(), T{});
}

#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
template <class C, class T>
inline long long LB(const C &c, const T &x) {
  return lower_bound(c.begin(), c.end(), x) - c.begin();
}
template <class C, class T>
inline long long UB(const C &c, const T &x) {
  return upper_bound(c.begin(), c.end(), x) - c.begin();
}
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())

template <typename T>
T POP(deque<T> &que) {
  T a = que.front();
  que.pop_front();
  return a;
}
template <class T, class Container, class Compare>
T POP(priority_queue<T, Container, Compare> &que) {
  T a = que.top();
  que.pop();
  return a;
}
template <typename T>
T POP(vc<T> &que) {
  T a = que.back();
  que.pop_back();
  return a;
}

template <typename F>
i128 binary_search(F check, i128 ok, i128 ng, bool check_ok = true) {
  if (check_ok) assert(check(ok));
  while (1) {
    i128 x = (ok + ng) / 2;
    if (x == ok || x == ng) break;
    (check(x) ? ok : ng) = x;
  }
  return ok;
}

template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
  FOR(iter) {
    double x = (ok + ng) / 2;
    (check(x) ? ok : ng) = x;
  }
  return (ok + ng) / 2;
}

template <class T, class S>
inline bool chmax(T &a, const S &b) {
  T c = max<T>(a, b);
  bool changed = (c != a);
  a = c;
  return changed;
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
  T c = min<T>(a, b);
  bool changed = (c != a);
  a = c;
  return changed;
}

// bit operations
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
int popcnt_sgn(int x) { return (__builtin_parity(unsigned(x)) & 1 ? -1 : 1); }
int popcnt_sgn(u32 x) { return (__builtin_parity(x) & 1 ? -1 : 1); }
int popcnt_sgn(ll x) { return (__builtin_parityll(x) & 1 ? -1 : 1); }
int popcnt_sgn(u64 x) { return (__builtin_parityll(x) & 1 ? -1 : 1); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }

template <typename T>
T kth_bit(int k) {
  assert(0 <= k && k < int(8 * sizeof(T)));
  return T(1) << k;
}
template <typename T>
bool has_kth_bit(T x, int k) {
  assert(0 <= k && k < int(8 * sizeof(T)));
  return x >> k & 1;
}

template <typename T>
struct all_bit {
  static_assert(is_integral<T>::value);
  T s;
  all_bit(T s) : s(s) { assert(s >= 0); }
  struct iter {
    T s;
    int operator*() const { return lowbit(s); }
    void operator++() { s &= s - 1; }
    bool operator!=(nullptr_t) const { return s; }
  };
  iter begin() const { return {s}; }
  nullptr_t end() const { return nullptr; }
};

template <typename T>
struct all_subset {
  static_assert(is_integral<T>::value);
  T s;
  all_subset(T s) : s(s) { assert(s >= 0); }
  struct iter {
    T s, t;
    bool done = false;
    T operator*() const { return t; }
    void operator++() {
      done = (t == 0);
      t = (t - 1) & s;
    }
    bool operator!=(nullptr_t) const { return !done; }
  };
  iter begin() const { return {s, s}; }
  nullptr_t end() const { return nullptr; }
};

constexpr u64 full_mask(int n) {
  assert(0 <= n && n <= 64);
  return n == 64 ? -1ULL : (1ULL << n) - 1;
}

u64 bit_reverse(u64 x) {
  x = ((x & 0x5555555555555555ULL) << 1) | ((x >> 1) & 0x5555555555555555ULL);
  x = ((x & 0x3333333333333333ULL) << 2) | ((x >> 2) & 0x3333333333333333ULL);
  x = ((x & 0x0f0f0f0f0f0f0f0fULL) << 4) | ((x >> 4) & 0x0f0f0f0f0f0f0f0fULL);
  x = ((x & 0x00ff00ff00ff00ffULL) << 8) | ((x >> 8) & 0x00ff00ff00ff00ffULL);
  x = ((x & 0x0000ffff0000ffffULL) << 16) | ((x >> 16) & 0x0000ffff0000ffffULL);
  x = (x << 32) | (x >> 32);
  return x;
}

// ? は -1
vc<int> s_to_vi(const string &S, char first_char) {
  vc<int> A(S.size());
  FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); }
  return A;
}

template <typename T, typename U>
vc<T> cumsum(const vc<U> &A, int off = 1) {
  int N = A.size();
  vc<T> B(N + 1);
  FOR(i, N) { B[i + 1] = B[i] + A[i]; }
  if (off == 0) B.erase(B.begin());
  return B;
}

// stable sort
template <typename T>
vc<int> argsort(const vc<T> &A) {
  vc<int> ids(len(A));
  iota(all(ids), 0);
  sort(all(ids),
      [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); });
  return ids;
}

// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
  vc<T> B(len(I));
  FOR(i, len(I)) B[i] = A[I[i]];
  return B;
}

template <typename T, typename... Vectors>
void concat(vc<T> &first, const Vectors &...others) {
  first.reserve(first.size() + (others.size() + ... + 0));
  (first.insert(first.end(), others.begin(), others.end()), ...);
}

// i128
template <class T, enable_if_t<is_same_v<T, i128>, int> = 0>
constexpr i128 abs(T x) {
  return x < 0 ? -x : x;
}

constexpr i128 gcd(i128 a, i128 b) {
  while (b != 0) {
    i128 c = a % b;
    a = b, b = c;
  }
  return abs(a);
}
#endif
#line 1 "alg/monoid/min.hpp"
// require: all values x satisfy x <= infty<E>
template <typename E>
struct Monoid_Min {
  using X = E;
  using value_type = X;
  static constexpr X op(const X &x, const X &y) noexcept { return min(x, y); }
  static constexpr X id() { return infty<E>; }
  static constexpr bool commute = true;
};
#line 1 "ds/node_pool.hpp"
// マルチテストケースでも確保済み chunk を再利用する
template <class Node>
struct Node_Pool {
  union Slot {
    Node node;
    Slot* next;

    Slot() {}
    ~Slot() {}
  };
  using np = Node*;

  static constexpr int CHUNK_SIZE = 1 << 12;

  vc<unique_ptr<Slot[]>> chunks;
  int chunk_id = 0;
  int pos = 0;
  Slot* free_head = nullptr;

  ~Node_Pool() {
    auto& cache = chunk_cache();
    for (auto& p : chunks) cache.eb(std::move(p));
  }

  template <class... Args>
  np create(Args&&... args) {
    Slot* s = new_slot();
    return ::new (&s->node) Node(forward<Args>(args)...);
  }

  np clone(const np x) {
    assert(x);
    Slot* s = new_slot();
    return ::new (&s->node) Node(*x);
  }

  void destroy(np x) {
    if (!x) return;
    x->~Node();
    Slot* s = reinterpret_cast<Slot*>(x);
    s->next = free_head;
    free_head = s;
  }

  // 全 node を無効化する。
  // 確保済み chunk は解放せず、次回以降に再利用する。
  void reset() {
    free_head = nullptr;
    chunk_id = 0;
    pos = 0;
  }

 private:
  static vc<unique_ptr<Slot[]>>& chunk_cache() {
    // static Node_Pool の destructor より先に破棄されないようにする。
    static auto* cache = new vc<unique_ptr<Slot[]>>();
    return *cache;
  }

  void alloc_chunk() {
    auto& cache = chunk_cache();
    if (cache.empty()) {
      chunks.eb(make_unique<Slot[]>(CHUNK_SIZE));
    } else {
      chunks.eb(std::move(cache.back()));
      cache.pop_back();
    }
  }

  Slot* new_slot() {
    if (free_head) {
      Slot* s = free_head;
      free_head = free_head->next;
      return s;
    }

    if (chunk_id == len(chunks)) alloc_chunk();

    Slot* s = &chunks[chunk_id][pos++];
    if (pos == CHUNK_SIZE) {
      ++chunk_id;
      pos = 0;
    }
    return s;
  }
};
#line 2 "ds/randomized_bst/rbst_monoid.hpp"

template <typename Monoid, bool PERSISTENT>
struct RBST_Monoid {
  using X = typename Monoid::value_type;

  struct Node {
    Node *l, *r;
    X x, prod, rev_prod;  // rev 反映済
    u32 size;
    bool rev;
  };

  Node_Pool<Node> pool;
  using np = Node *;

  void reset() { pool.reset(); }

  np new_node(const X &x) {
    np c = pool.create();
    c->l = c->r = nullptr;
    c->x = x, c->prod = x, c->rev_prod = x;
    c->size = 1, c->rev = 0;
    return c;
  }

  np new_node(const vc<X> &dat) {
    auto dfs = [&](auto &dfs, u32 l, u32 r) -> np {
      if (l == r) return nullptr;
      if (r == l + 1) return new_node(dat[l]);
      u32 m = (l + r) / 2;
      np l_root = dfs(dfs, l, m);
      np r_root = dfs(dfs, m + 1, r);
      np root = new_node(dat[m]);
      root->l = l_root, root->r = r_root;
      update(root);
      return root;
    };
    return dfs(dfs, 0, len(dat));
  }

  np clone(np n) {
    if (!n || !PERSISTENT) return n;
    return pool.clone(n);
  }

  np merge(np l_root, np r_root) { return merge_rec(l_root, r_root); }
  np merge3(np a, np b, np c) { return merge(merge(a, b), c); }
  np merge4(np a, np b, np c, np d) { return merge(merge(merge(a, b), c), d); }
  pair<np, np> split(np root, u32 k) {
    if (!root) {
      assert(k == 0);
      return {nullptr, nullptr};
    }
    assert(0 <= k && k <= root->size);
    return split_rec(root, k);
  }
  tuple<np, np, np> split3(np root, u32 l, u32 r) {
    np nm, nr;
    tie(root, nr) = split(root, r);
    tie(root, nm) = split(root, l);
    return {root, nm, nr};
  }
  tuple<np, np, np, np> split4(np root, u32 i, u32 j, u32 k) {
    np d;
    tie(root, d) = split(root, k);
    auto [a, b, c] = split3(root, i, j);
    return {a, b, c, d};
  }

  X prod(np root, u32 l, u32 r) {
    if (l == r) return Monoid::id();
    return prod_rec(root, l, r, false);
  }
  X prod(np root) { return (root ? root->prod : Monoid::id()); }

  np reverse(np root, u32 l, u32 r) {
    assert(0 <= l && l <= r && r <= root->size);
    if (r - l <= 1) return root;
    auto [nl, nm, nr] = split3(root, l, r);
    nm->rev ^= 1;
    swap(nm->l, nm->r);
    swap(nm->prod, nm->rev_prod);
    return merge3(nl, nm, nr);
  }

  np set(np root, u32 k, const X &x) { return set_rec(root, k, x); }
  np multiply(np root, u32 k, const X &x) { return multiply_rec(root, k, x); }
  X get(np root, u32 k) { return get_rec(root, k, false); }

  vc<X> get_all(np root) {
    vc<X> res;
    auto dfs = [&](auto &dfs, np root, bool rev) -> void {
      if (!root) return;
      dfs(dfs, (rev ? root->r : root->l), rev ^ root->rev);
      res.eb(root->x);
      dfs(dfs, (rev ? root->l : root->r), rev ^ root->rev);
    };
    dfs(dfs, root, 0);
    return res;
  }

  template <typename F>
  pair<np, np> split_max_right(np root, const F check) {
    assert(check(Monoid::id()));
    X x = Monoid::id();
    return split_max_right_rec(root, check, x);
  }

 private:
  inline u32 xor128() {
    static u32 x = 123456789;
    static u32 y = 362436069;
    static u32 z = 521288629;
    static u32 w = 88675123;
    u32 t = x ^ (x << 11);
    x = y;
    y = z;
    z = w;
    return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8));
  }

  void push(np c) {
    // 自身をコピーする必要はない。
    // 子をコピーする必要がある。複数の親を持つ可能性があるため。
    if (c->rev) {
      if (c->l) {
        c->l = clone(c->l);
        c->l->rev ^= 1;
        swap(c->l->l, c->l->r);
        swap(c->l->prod, c->l->rev_prod);
      }
      if (c->r) {
        c->r = clone(c->r);
        c->r->rev ^= 1;
        swap(c->r->l, c->r->r);
        swap(c->r->prod, c->r->rev_prod);
      }
      c->rev = 0;
    }
  }

  void update(np c) {
    // データを保ったまま正常化するだけなので、コピー不要
    c->size = 1;
    c->prod = c->rev_prod = c->x;
    if (c->l) {
      c->size += c->l->size;
      c->prod = Monoid::op(c->l->prod, c->prod);
      c->rev_prod = Monoid::op(c->rev_prod, c->l->rev_prod);
    }
    if (c->r) {
      c->size += c->r->size;
      c->prod = Monoid::op(c->prod, c->r->prod);
      c->rev_prod = Monoid::op(c->r->rev_prod, c->rev_prod);
    }
  }

  np merge_rec(np l_root, np r_root) {
    if (!l_root) return r_root;
    if (!r_root) return l_root;
    u32 sl = l_root->size, sr = r_root->size;
    if (xor128() % (sl + sr) < sl) {
      push(l_root);
      l_root = clone(l_root);
      l_root->r = merge_rec(l_root->r, r_root);
      update(l_root);
      return l_root;
    }
    push(r_root);
    r_root = clone(r_root);
    r_root->l = merge_rec(l_root, r_root->l);
    update(r_root);
    return r_root;
  }

  pair<np, np> split_rec(np root, u32 k) {
    if (!root) return {nullptr, nullptr};
    push(root);
    u32 sl = (root->l ? root->l->size : 0);
    if (k <= sl) {
      auto [nl, nr] = split_rec(root->l, k);
      root = clone(root);
      root->l = nr;
      update(root);
      return {nl, root};
    }
    auto [nl, nr] = split_rec(root->r, k - (1 + sl));
    root = clone(root);
    root->r = nl;
    update(root);
    return {root, nr};
  }

  np set_rec(np root, u32 k, const X &x) {
    if (!root) return root;
    push(root);
    u32 sl = (root->l ? root->l->size : 0);
    if (k < sl) {
      root = clone(root);
      root->l = set_rec(root->l, k, x);
      update(root);
      return root;
    }
    if (k == sl) {
      root = clone(root);
      root->x = x;
      update(root);
      return root;
    }
    root = clone(root);
    root->r = set_rec(root->r, k - (1 + sl), x);
    update(root);
    return root;
  }

  np multiply_rec(np root, u32 k, const X &x) {
    if (!root) return root;
    push(root);
    u32 sl = (root->l ? root->l->size : 0);
    if (k < sl) {
      root = clone(root);
      root->l = multiply_rec(root->l, k, x);
      update(root);
      return root;
    }
    if (k == sl) {
      root = clone(root);
      root->x = Monoid::op(root->x, x);
      update(root);
      return root;
    }
    root = clone(root);
    root->r = multiply_rec(root->r, k - (1 + sl), x);
    update(root);
    return root;
  }

  X prod_rec(np root, u32 l, u32 r, bool rev) {
    if (l == 0 && r == root->size) {
      return (rev ? root->rev_prod : root->prod);
    }
    np left = (rev ? root->r : root->l);
    np right = (rev ? root->l : root->r);
    u32 sl = (left ? left->size : 0);
    X res = Monoid::id();
    if (l < sl) {
      X y = prod_rec(left, l, min(r, sl), rev ^ root->rev);
      res = Monoid::op(res, y);
    }
    if (l <= sl && sl < r) res = Monoid::op(res, root->x);
    u32 k = 1 + sl;
    if (k < r) {
      X y = prod_rec(right, max(k, l) - k, r - k, rev ^ root->rev);
      res = Monoid::op(res, y);
    }
    return res;
  }

  X get_rec(np root, u32 k, bool rev) {
    np left = (rev ? root->r : root->l);
    np right = (rev ? root->l : root->r);
    u32 sl = (left ? left->size : 0);
    if (k == sl) return root->x;
    rev ^= root->rev;
    if (k < sl) return get_rec(left, k, rev);
    return get_rec(right, k - (1 + sl), rev);
  }

  template <typename F>
  pair<np, np> split_max_right_rec(np root, const F &check, X &x) {
    if (!root) return {nullptr, nullptr};
    push(root);
    root = clone(root);
    X y = Monoid::op(x, root->prod);
    if (check(y)) {
      x = y;
      return {root, nullptr};
    }
    np left = root->l, right = root->r;
    if (left) {
      X y = Monoid::op(x, root->l->prod);
      if (!check(y)) {
        auto [n1, n2] = split_max_right_rec(left, check, x);
        root->l = n2;
        update(root);
        return {n1, root};
      }
      x = y;
    }
    y = Monoid::op(x, root->x);
    if (!check(y)) {
      root->l = nullptr;
      update(root);
      return {left, root};
    }
    x = y;
    auto [n1, n2] = split_max_right_rec(right, check, x);
    root->r = n1;
    update(root);
    return {root, n2};
  }
};
#line 1 "random/base.hpp"

u64 RNG_64() {
  static u64 x_ = u64(chrono::duration_cast<chrono::nanoseconds>(
                      chrono::high_resolution_clock::now().time_since_epoch())
                          .count()) *
                  10150724397891781847ULL;
  x_ ^= x_ << 7;
  return x_ ^= x_ >> 9;
}

u64 RNG(u64 lim) {
  assert(lim > 0);
  return RNG_64() % lim;
}

ll RNG(ll l, ll r) {
  assert(l < r);
  return l + RNG_64() % (r - l);
}
#line 6 "test/1_mytest/rbst_test.test.cpp"

void test() {
  using Mono = Monoid_Min<int>;
  RBST_Monoid<Mono, false> X;
  FOR(1000) {
    X.reset();
    int N = RNG(1, 20);
    int Q = RNG(1, 1000);
    vc<int> A(N);
    FOR(i, N) A[i] = RNG(1, 100);
    auto root = X.new_node(A);

    FOR(Q) {
      int t = RNG(0, 5);
      if (t == 0) {
        int i = RNG(0, N);
        assert(A[i] == X.get(root, i));
      }
      if (t == 1) {
        int i = RNG(0, N);
        int x = RNG(1, 100);
        root = X.set(root, i, x);
        A[i] = x;
      }
      if (t == 2) {
        int i = RNG(0, N);
        int x = RNG(1, 100);
        root = X.multiply(root, i, x);
        A[i] = Mono::op(A[i], x);
      }
      if (t == 3) {
        int L = RNG(0, N);
        int R = RNG(0, N);
        if (L > R) swap(L, R);
        ++R;
        vc<int> B = {A.begin() + L, A.begin() + R};
        assert(X.prod(root, L, R) == MIN(B));
      }
      if (t == 4) {
        int L = RNG(0, N);
        int R = RNG(0, N);
        if (L > R) swap(L, R);
        ++R;
        root = X.reverse(root, L, R);
        reverse(A.begin() + L, A.begin() + R);
      }
    }
  }
}

void solve() {
  int a, b;
  cin >> a >> b;
  cout << a + b << "\n";
}

signed main() {
  test();
  solve();

  return 0;
}
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