//#define NDEBUG #pragma region cp_template #include #include #include #include #include #include namespace n91 { using i32 = std::int32_t; using i64 = std::int64_t; using u32 = std::uint32_t; using u64 = std::uint64_t; using isize = std::ptrdiff_t; using usize = std::size_t; struct rep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { ++i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr rep(const usize f, const usize l) noexcept : f(std::min(f, l)), l(l) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; struct revrep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { --i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr revrep(const usize f, const usize l) noexcept : f(l - 1), l(std::min(f, l) - 1) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; template auto md_vec(const usize n, const T& value) { return std::vector(n, value); } template auto md_vec(const usize n, Args... args) { return std::vector(n, md_vec(args...)); } template constexpr T difference(const T& a, const T& b) noexcept { return a < b ? b - a : a - b; } template void chmin(T& a, const T& b) noexcept { if (b < a) a = b; } template void chmax(T& a, const T& b) noexcept { if (a < b) a = b; } template class rec_lambda { F f; public: rec_lambda(F&& f) : f(std::move(f)) {} template auto operator()(Args&&... args) const { return f(*this, std::forward(args)...); } }; template auto make_rec(F&& f) { return rec_lambda(std::move(f)); } template T scan() { T ret; std::cin >> ret; return ret; } constexpr char eoln = '\n'; template T ceildiv(const T& l, const T& r) { return l / r + (l % r != 0 ? 1 : 0); } } // namespace n91 #pragma endregion cp_template namespace n91 { void main_() { /* std::ios::sync_with_stdio(false); std::cin.tie(nullptr); //*/ u32 k = scan(); u32 x = scan(); if (x == 0) { std::cout << "Yes" << eoln; std::cout << 1 << eoln; std::cout << (k ? 0 : 1) << " " << eoln; return; } if (k == 0) { ++x; } u32 p = 0; while (x % 2 == 0) { x /= 2; ++p; } if (x != 1) { std::cout << "No" << eoln; return; } const usize bsf = [&]() -> usize { if (k == 0) { return 20; } usize r = 0; u32 kk = k; while (kk % 2 == 0) { kk /= 2; ++r; } return r; }(); std::vector base; if (k != 0) { base.push_back(k); } for (const usize i : rep(0, 10)) { if (base.size() == 10) { break; } if (bsf == i) { continue; } base.push_back(1 << i); } auto ans = base; for (const usize i : rep(0, p)) { u32 x = 0; for (const usize j : rep(0, 10)) { if (i >> j & 1) { x ^= base[j]; } } ans.push_back(x); } std::cout << "Yes" << eoln; std::cout << ans.size() << eoln; for (auto e : ans) { std::cout << e << " "; } } } // namespace n91 int main() { n91::main_(); return 0; }