Problem: Let's define logical OR as an operation on two logical values (i. e. values that belong to the set {0, 1}) that is equal to 1 if either or both of the logical values is set to 1, otherwise it is 0. We can define logical OR of three or more logical values in the same manner:

<image> where <image> is equal to 1 if some ai = 1, otherwise it is equal to 0.

Nam has a matrix A consisting of m rows and n columns. The rows are numbered from 1 to m, columns are numbered from 1 to n. Element at row i (1 ≤ i ≤ m) and column j (1 ≤ j ≤ n) is denoted as Aij. All elements of A are either 0 or 1. From matrix A, Nam creates another matrix B of the same size using formula:

<image>.

(Bij is OR of all elements in row i and column j of matrix A)

Nam gives you matrix B and challenges you to guess matrix A. Although Nam is smart, he could probably make a mistake while calculating matrix B, since size of A can be large.

Input

The first line contains two integer m and n (1 ≤ m, n ≤ 100), number of rows and number of columns of matrices respectively.

The next m lines each contain n integers separated by spaces describing rows of matrix B (each element of B is either 0 or 1).

Output

In the first line, print "NO" if Nam has made a mistake when calculating B, otherwise print "YES". If the first line is "YES", then also print m rows consisting of n integers representing matrix A that can produce given matrix B. If there are several solutions print any one.

Examples

Input

2 2
1 0
0 0


Output

NO


Input

2 3
1 1 1
1 1 1


Output

YES
1 1 1
1 1 1


Input

2 3
0 1 0
1 1 1


Output

YES
0 0 0
0 1 0

Solution (in JAVA):

Solution:

	import java.io.IOException;
	import java.io.InputStream;
	import java.io.OutputStream;
	import java.io.PrintWriter;
	import java.io.Writer;
	import java.util.ArrayList;
	import java.util.InputMismatchException;

	public class LittleElephantandMagicSquare {

		public static void main(String[] args) {
			InputReader in = new InputReader(System.in);
			OutputWriter out = new OutputWriter(System.out);
			int m = in.readInt();
		    int n = in.readInt();
		    int b[][] = new int[m][n];
		    int a[][] = new int[m][n];
		    for (int i = 0; i < m; i++) {
		        for (int j = 0; j < n; j++) {
		        b[i][j] = in.readInt();
		        a[i][j] = 1;
		        }
		    }
		    for (int i = 0; i < m; i++) {
		        for (int j = 0; j < n; j++) {
		        if (b[i][j] == 0) {
		            for (int k = 0; k < n; k++) {
		            a[i][k] = 0;
		            }
		            for (int x = 0; x < m; x++) {
		            a[x][j] = 0;
		            }
		        }
		        }
		    }
		    boolean fail = false;
		    for (int i = 0; i < m; i++) {
		        for (int j = 0; j < n; j++) {
		        int val = 0;
		        for (int k = 0; k < n; k++) {
		            val |= a[i][k];
		        }
		        for (int x = 0; x < m; x++) {
		            val |= a[x][j];
		        }
		        if (b[i][j] != val) {
		            fail = true;
		            break;
		        }   
		        }
		    }
		    if (!fail) {
		        out.print("YES");
		        out.printLine();
		        for (int i = 0; i < m; i++) {
		        for (int j = 0; j < n; j++) {
		            out.print(a[i][j] + " ");
		        }
		        out.printLine();
		        }
		    } else {
		        out.print("NO");
		    }
		    out.close();
		    }

		private static class InputReader {
			private InputStream stream;
			private byte[] buf = new byte[1024];
			private int curChar;
			private int numChars;

			public InputReader(InputStream stream) {
				this.stream = stream;
			}

			public int read() {
				if (numChars == -1)
					throw new InputMismatchException();
				if (curChar >= numChars) {
					curChar = 0;
					try {
						numChars = stream.read(buf);
					} catch (IOException e) {
						throw new InputMismatchException();
					}
					if (numChars <= 0)
						return -1;
				}
				return buf[curChar++];
			}

			public long readLong() {
				int c = read();
				while (isSpaceChar(c))
					c = read();
				long sgn = 1;
				if (c == '-') {
					sgn = -1;
					c = read();
				}
				long res = 0;
				do {
					if (c < '0' || c > '9')
						throw new InputMismatchException();
					res *= 10;
					res += c - '0';
					c = read();
				} while (!isSpaceChar(c));
				return res * sgn;
			}

			public int readInt() {
				int c = read();
				while (isSpaceChar(c))
					c = read();
				int sgn = 1;
				if (c == '-') {
					sgn = -1;
					c = read();
				}
				int res = 0;
				do {
					if (c < '0' || c > '9')
						throw new InputMismatchException();
					res *= 10;
					res += c - '0';
					c = read();
				} while (!isSpaceChar(c));
				return res * sgn;
			}

			public String readString() {
				int c = read();
				while (isSpaceChar(c))
					c = read();
				StringBuffer res = new StringBuffer();
				do {
					res.appendCodePoint(c);
					c = read();
				} while (!isSpaceChar(c));
				return res.toString();
			}

			static boolean isSpaceChar(int c) {
				return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
			}

			public String next() {
				return readString();
			}
		}

		private static class OutputWriter {
			private final PrintWriter writer;

			public OutputWriter(OutputStream outputStream) {
				writer = new PrintWriter(outputStream);
			}

			public OutputWriter(Writer writer) {
				this.writer = new PrintWriter(writer);
			}

			public void print(Object... objects) {
				for (int i = 0; i < objects.length; i++) {
					if (i != 0)
						writer.print(' ');
					writer.print(objects[i]);
				}
			}

			public void printLine(Object... objects) {
				print(objects);
				writer.println();
			}

			public void close() {
				writer.close();
			}
		}

	}