monoids/plus_max_action.hpp

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• Last update: 2021-08-30 04:35:37+09:00
• Include: #include "monoids/plus_max_action.hpp"

Depends on

• monoids/max.hpp
• monoids/plus.hpp

Code

#pragma once
#include "../monoids/plus.hpp"
#include "../monoids/max.hpp"

/**
 * @note lazy_propagation_segment_tree<max_monoid<T>, plus_monoid<T>, plus_max_action<T> > is a starry sky tree
 */
template <class T>
struct plus_max_action {
    typename max_monoid<T>::value_type operator () (typename plus_monoid<T>::value_type f, typename max_monoid<T>::value_type x) const {
        return (x == max_monoid<T>().unit() ? x : f + x);
    }
};

#line 2 "monoids/plus.hpp"

template <class T>
struct plus_monoid {
    typedef T value_type;
    value_type unit() const { return value_type(); }
    value_type mult(value_type a, value_type b) const { return a + b; }
};
#line 2 "monoids/max.hpp"
#include <algorithm>
#include <limits>

template <class T>
struct max_monoid {
    typedef T value_type;
    value_type unit() const { return std::numeric_limits<T>::lowest(); }
    value_type mult(value_type a, value_type b) const { return std::max(a, b); }
};
#line 4 "monoids/plus_max_action.hpp"

/**
 * @note lazy_propagation_segment_tree<max_monoid<T>, plus_monoid<T>, plus_max_action<T> > is a starry sky tree
 */
template <class T>
struct plus_max_action {
    typename max_monoid<T>::value_type operator () (typename plus_monoid<T>::value_type f, typename max_monoid<T>::value_type x) const {
        return (x == max_monoid<T>().unit() ? x : f + x);
    }
};

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