import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } enum E = 30; int[] solve(const(int) N, const(int[]) A) { foreach (e0; -1 .. E) { if (~A[0]) { if (e0 != (A[0] ? bsr(A[0]) : -1)) { continue; } } debug { writeln("e0 = ", e0); } auto as = A.dup; foreach (i; 0 .. 1 << N) { if (!~A[i]) { as[i] = (1 << E) - 1; } } foreach_reverse (e; e0 + 1 .. E) { int[] basis; foreach (i; 0 .. 1 << N) { if (~A[i] && !((A[i] >> e) & 1)) { int x = i; foreach (y; basis) { chmin(x, x ^ y); } if (x) { basis ~= x; } } } debug { writeln(" e = ", e, ": ", basis); } const dim = cast(int)(basis.length); auto sums = new int[1 << dim]; foreach (d; 0 .. dim) { foreach (h; 0 .. 1 << d) { sums[h | 1 << d] = sums[h] ^ basis[d]; } } foreach (h; 0 .. 1 << dim) { as[sums[h]] &= ~(1 << e); } } if (~e0) { foreach (i; 0 .. 1 << N) { as[i] |= 1 << e0; } } bool ok = true; foreach (i; 0 .. 1 << N) { if (~A[i]) { ok = ok && (A[i] == as[i]); } } foreach (i; 0 .. 1 << N) foreach (j; 0 .. 1 << N) { // ok = ok && (A[i ^ j] >= (A[i] ^ A[j])); } if (ok) { return as; } } return null; } void main() { try { for (; ; ) { const N = readInt(); auto A = new int[1 << N]; foreach (i; 0 .. 1 << N) { A[i] = readInt(); } const ans = solve(N, A); if (ans) { writeln("Yes"); foreach (i; 0 .. 1 << N) { if (i > 0) write(" "); write(ans[i]); } writeln; } else { writeln("No"); } } } catch (EOFException e) { } }