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#include "alg/acted_monoid/minmincnt_add.hpp"
#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 X>
struct Monoid_Add {
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};
}
};