Group: XOR
(algebra/group_xor.hpp)

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• Last update: 2026-10-26 01:30:50+09:00
• Include: #include "algebra/group_xor.hpp"

Depends on

• Monoid: XOR (algebra/monoid_xor.hpp)

Verified with

• test/unit/weighted_dsu.test.cpp

Code

#pragma once
#include "algebra/monoid_xor.hpp"
template <class T>
struct group_xor : monoid_xor<T> {
    static T inv(T a) {
        return a;
    }
};

#line 2 "algebra/monoid_xor.hpp"
template <class T>
struct monoid_xor {
    using S = T;
    static S op(S a, S b) {
        return a ^ b;
    }
    static S e() {
        return T(0);
    }
};
#line 3 "algebra/group_xor.hpp"
template <class T>
struct group_xor : monoid_xor<T> {
    static T inv(T a) {
        return a;
    }
};

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