alg/acted_monoid/minmincnt_add.hpp

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

Depends on

• alg/monoid/add.hpp
• alg/monoid/minmincnt.hpp

Required by

• ds/rectangle_union.hpp
• graph/count/count_connected_intervals.hpp

Verified with

• test/2_library_checker/data_structure/area_of_union_of_rectangles.test.cpp
• test/4_aoj/DSL_4_A.test.cpp
• test/5_atcoder/abc318b.test.cpp

Code

#include "alg/monoid/minmincnt.hpp"

#include "alg/monoid/add.hpp"


template <typename E>
struct ActedMonoid_MinMincnt_Add {
  using Monoid_X = Monoid_MinMincnt<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) {
    auto [xmin, xmincnt] = x;
    if (xmin == infty<E>) return x;
    return {xmin + a, xmincnt};
  }
};

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

// 最小値、最小値の個数

template <typename E>
struct Monoid_MinMincnt {
  using value_type = pair<E, E>;
  using X = value_type;
  static X op(X x, X y) {
    auto [xmin, xmincnt] = x;
    auto [ymin, ymincnt] = y;
    if (xmin > ymin) return y;
    if (xmin < ymin) return x;
    return {xmin, xmincnt + ymincnt};
  }
  static constexpr X unit() { return {infty<E>, 0}; }
  static constexpr bool commute = true;
};
#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 3 "alg/acted_monoid/minmincnt_add.hpp"

template <typename E>
struct ActedMonoid_MinMincnt_Add {
  using Monoid_X = Monoid_MinMincnt<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) {
    auto [xmin, xmincnt] = x;
    if (xmin == infty<E>) return x;
    return {xmin + a, xmincnt};
  }
};

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