Problem: Now Vasya is taking an exam in mathematics. In order to get a good mark, Vasya needs to guess the matrix that the teacher has constructed!

Vasya knows that the matrix consists of n rows and m columns. For each row, he knows the xor (bitwise excluding or) of the elements in this row. The sequence a1, a2, ..., an denotes the xor of elements in rows with indices 1, 2, ..., n, respectively. Similarly, for each column, he knows the xor of the elements in this column. The sequence b1, b2, ..., bm denotes the xor of elements in columns with indices 1, 2, ..., m, respectively.

Help Vasya! Find a matrix satisfying the given constraints or tell him that there is no suitable matrix.

Input

The first line contains two numbers n and m (2 ≤ n, m ≤ 100) — the dimensions of the matrix.

The second line contains n numbers a1, a2, ..., an (0 ≤ ai ≤ 109), where ai is the xor of all elements in row i.

The third line contains m numbers b1, b2, ..., bm (0 ≤ bi ≤ 109), where bi is the xor of all elements in column i.

Output

If there is no matrix satisfying the given constraints in the first line, output "NO".

Otherwise, on the first line output "YES", and then n rows of m numbers in each ci1, ci2, ... , cim (0 ≤ cij ≤ 2·109) — the description of the matrix.

If there are several suitable matrices, it is allowed to print any of them.

Examples

Input

2 3
2 9
5 3 13


Output

YES
3 4 5
6 7 8


Input

3 3
1 7 6
2 15 12


Output

NO

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Vadim Semenov
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskD solver = new TaskD();
        solver.solve(1, in, out);
        out.close();
    }

    static final class TaskD {
        public void solve(int __, InputReader in, PrintWriter out) {
            int rows = in.nextInt();
            int cols = in.nextInt();
            int[] row = in.nextIntArray(rows);
            int[] col = in.nextIntArray(cols);
            int rowXor = 0;
            for (int r : row) rowXor ^= r;
            int colXor = 0;
            for (int c : col) colXor ^= c;
            if (rowXor != colXor) {
                out.println("NO");
                return;
            }
            out.println("YES");
            int[][] matrix = new int[rows][cols];

            for (int i = 1; i < rows; ++i) {
                matrix[i][0] = row[i];
            }
            for (int j = 1; j < cols; ++j) {
                matrix[0][j] = col[j];
            }
            matrix[0][0] = rowXor ^ col[0] ^ row[0];
            assertRows(rows, cols, row, matrix);
            assertCols(rows, cols, col, matrix);
            for (int i = 0; i < rows; ++i) {
                for (int j = 0; j < cols; ++j) {
                    out.print(matrix[i][j] + " ");
                }
                out.println();
            }
        }

        private void assertCols(int rows, int cols, int[] col, int[][] matrix) {
            for (int j = 0; j < cols; ++j) {
                int xor = 0;
                for (int i = 0; i < rows; ++i) {
                    xor ^= matrix[i][j];
                }
                if (xor != col[j]) {
                    throw new AssertionError(xor + " " + j);
                }
            }
        }

        private void assertRows(int rows, int cols, int[] row, int[][] matrix) {
            for (int i = 0; i < rows; ++i) {
                int xor = 0;
                for (int j = 0; j < cols; ++j) {
                    xor ^= matrix[i][j];
                }
                if (xor != row[i]) {
                    throw new AssertionError(xor + " " + i);
                }
            }
        }

    }

    static class InputReader {
        private final BufferedReader reader;
        private StringTokenizer tokenizer;

        public InputReader(InputStream in) {
            reader = new BufferedReader(new InputStreamReader(in));
        }

        public int[] nextIntArray(int size) {
            int[] array = new int[size];
            for (int i = 0; i < size; ++i) {
                array[i] = nextInt();
            }
            return array;
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                tokenizer = new StringTokenizer(readLine());
            }
            return tokenizer.nextToken();
        }

        public String readLine() {
            String line;
            try {
                line = reader.readLine();
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
            return line;
        }

    }
}