alg/acted_monoid/sum_add.hpp

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• Last update: 2024-01-23 05:58:02+09:00
• Include: #include "alg/acted_monoid/sum_add.hpp"

Depends on

• alg/monoid/add.hpp

Verified with

• test/1_mytest/ARC30D.test.cpp
• test/1_mytest/fenwick_raq.test.cpp
• test/1_mytest/rbst_am_2.test.cpp
• test/1_mytest/splay_am.test.cpp
• test/3_yukicoder/1197.test.cpp
• test/3_yukicoder/789_2.test.cpp
• test/4_aoj/GRL_5_E.test.cpp
• test/5_atcoder/abc234g.test.cpp

Code

#include "alg/monoid/add.hpp"


template <typename E>
struct ActedMonoid_Sum_Add {
  using Monoid_X = Monoid_Add<E>;
  using Monoid_A = Monoid_Add<E>;
  using X = typename Monoid_X::value_type;
  using A = typename Monoid_A::value_type;
  static constexpr X act(const X &x, const A &a, const ll &size) {
    return x + a * E(size);
  }
};

#line 2 "alg/monoid/add.hpp"

template <typename E>
struct Monoid_Add {
  using X = E;
  using value_type = X;
  static constexpr X op(const X &x, const X &y) noexcept { return x + y; }
  static constexpr X inverse(const X &x) noexcept { return -x; }
  static constexpr X power(const X &x, ll n) noexcept { return X(n) * x; }
  static constexpr X unit() { return X(0); }
  static constexpr bool commute = true;
};
#line 2 "alg/acted_monoid/sum_add.hpp"

template <typename E>
struct ActedMonoid_Sum_Add {
  using Monoid_X = Monoid_Add<E>;
  using Monoid_A = Monoid_Add<E>;
  using X = typename Monoid_X::value_type;
  using A = typename Monoid_A::value_type;
  static constexpr X act(const X &x, const A &a, const ll &size) {
    return x + a * E(size);
  }
};

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