competitive-programming-library

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:heavy_check_mark: monoids/linear_function.hpp

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Code

#pragma once
#include <utility>

template <class CommutativeRing>
struct linear_function_monoid {
    typedef std::pair<CommutativeRing, CommutativeRing> value_type;
    linear_function_monoid() = default;
    value_type unit() const {
        return std::make_pair(1, 0);
    }
    value_type mult(value_type g, value_type f) const {
        CommutativeRing fst = g.first * f.first;
        CommutativeRing snd = g.second + g.first * f.second;
        return std::make_pair(fst, snd);
    }
};

#line 2 "monoids/linear_function.hpp"
#include <utility>

template <class CommutativeRing>
struct linear_function_monoid {
    typedef std::pair<CommutativeRing, CommutativeRing> value_type;
    linear_function_monoid() = default;
    value_type unit() const {
        return std::make_pair(1, 0);
    }
    value_type mult(value_type g, value_type f) const {
        CommutativeRing fst = g.first * f.first;
        CommutativeRing snd = g.second + g.first * f.second;
        return std::make_pair(fst, snd);
    }
};

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