//#define NDEBUG #pragma warning(disable : 4146) #include #include #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; using f64 = double; 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::forward(f_)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; 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); } #ifdef N91_LOCAL #define OJ_LOCAL(a, b) b #else #define OJ_LOCAL(a, b) a #endif } // namespace n91 #include namespace n91 { void main_() { const usize N = scan(); std::vector A(1 << N); for (auto &e : A) { std::cin >> e; } std::vector ans(1 << N); for (const usize i : rep(0, 1 << N)) { if (A[i] == -1) { ans[i] = (1 << 30) - 1; } else { ans[i] = A[i]; } } for (const usize p : rep(0, 30)) { std::vector state(1 << N); for (const usize i : rep(0, 1 << N)) { if (A[i] == -1) { state[i] = -1; } else { state[i] = A[i] >> p & 1; } } bool changed = true; while (changed) { changed = false; for (const usize i : rep(0, 1 << N)) { for (const usize j : rep(0, 1 << N)) { const usize k = i ^ j; if (!((ans[i] & ans[j] & ans[k]) >> (p + 1)) && state[i] == 0 && state[j] == 0) { if (state[k] == 1) { std::cout << "No" << eoln; return; } else if (state[k] == -1) { state[k] = 0; ans[k] &= !static_cast(1 << p); changed = true; } } } } } } std::cout << "Yes" << eoln; for (const usize i : rep(0, 1 << N)) { std::cout << ans[i] << " \n"[i + 1 == (1 << N)]; } } } // namespace n91 int main() { //* std::ios::sync_with_stdio(false); std::cin.tie(nullptr); //*/ std::cout << std::setprecision(20); n91::main_(); return 0; }