#include using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; const int MOD = 1000000007; // const int MOD = 998244353; int main() { int K; cin >> K; int N = 1 << K; vector a(N); rep(i, N) cin >> a[i]; vector> c(N, vector(30, -1)); rep(i, N) { if (a[i] == -1) continue; rep(j, 30) c[i][j] = flg(a[i], j); } vector> ok(N, vector(N, false)); rep3(t, 29, 0) { queue que; rep(i, N) { if (c[i][t] != 0) continue; rep(j, N) { if (c[j][t] == 0 && !ok[i][j]) { int k = i ^ j; if (c[k][t] == 1) { cout << "No\n"; return 0; } if (c[k][t] == -1) { c[k][t] = 0; que.emplace(k); } } } } while (!empty(que)) { int i = que.front(); que.pop(); rep(j, N) { if (c[j][t] == 0 && !ok[i][j]) { int k = i ^ j; if (c[k][t] == 1) { cout << "No\n"; return 0; } if (c[k][t] == -1) { c[k][t] = 0; que.emplace(k); } } } } rep(i, N) { if (c[i][t] == -1) c[i][t] = 1; } rep(i, N) { rep(j, N) { int k = i ^ j; if (c[i][t] == 1 && c[j][t] == 1 && c[k][t] == 1) ok[i][j] = true; } } } cout << "Yes\n"; vector ans(N); rep(i, N) { rep(j, 30) { if (c[i][j] == 1) ans[i] |= 1 << j; } } print(ans); rep(i, N) { rep(j, N) { int k = i ^ j; if (ans[k] < (ans[i] ^ ans[j])) { assert(false); cout << i << ' ' << j << '\n'; } } } }