alg/acted_monoid/sum_mul.hpp

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

Depends on

Verified with

test/3_yukicoder/899.test.cpp

Code

#include "alg/monoid/add.hpp"

#include "alg/monoid/mul.hpp"


template <typename E>
struct ActedMonoid_Sum_Mul {
  using Monoid_X = Monoid_Add<E>;
  using Monoid_A = Monoid_Mul<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 = 1) {
    return x * a;
  }
};

#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/monoid/mul.hpp"

template <class T>
struct Monoid_Mul {
  using value_type = T;
  using X = T;
  static constexpr X op(const X &x, const X &y) noexcept { return x * y; }
  static constexpr X inverse(const X &x) noexcept { return X(1) / x; }
  static constexpr X unit() { return X(1); }
  static constexpr bool commute = true;
};
#line 3 "alg/acted_monoid/sum_mul.hpp"

template <typename E>
struct ActedMonoid_Sum_Mul {
  using Monoid_X = Monoid_Add<E>;
  using Monoid_A = Monoid_Mul<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 = 1) {
    return x * a;
  }
};