struct {
    size_t operator(const Cube &cube) const {
        long long hash = 0;
        long long MOD = 1e9 + 7;
        for(int i = 0 ; i < 6; ++i)
            for(int j = 0 ; j < 9 ; ++j)
                hash += (pot[i * 9 + j] * (cube.faces[i].tile[j] + 1)) % MOD;
        return (size_t)hash;
    }
};