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#include "alg/acted_monoid/max_add.hpp"
#include "alg/monoid/add.hpp"
#include "alg/monoid/max.hpp"
template <typename E>
struct ActedMonoid_Max_Add {
using Monoid_X = Monoid_Max<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) {
if (x == -infty<E>) return x;
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/max.hpp"
template <typename E>
struct Monoid_Max {
using X = E;
using value_type = X;
static constexpr X op(const X &x, const X &y) noexcept { return max(x, y); }
static constexpr X unit() { return -infty<E>; }
static constexpr bool commute = true;
};
#line 3 "alg/acted_monoid/max_add.hpp"
template <typename E>
struct ActedMonoid_Max_Add {
using Monoid_X = Monoid_Max<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) {
if (x == -infty<E>) return x;
return x + a;
}
};