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 PYTHON):

Solution:
import sys
from operator import and_

m, n = map(int, sys.stdin.readline().split(" "))

y_ands = [1] * m
x_ands = [1] * n
matrix = []

for i in xrange(m):
    line = sys.stdin.readline()
    row = []
    for j, val in enumerate(map(int, line.split(" "))):
        row.append(val)
        x_ands[j] &= val
        y_ands[i] &= val
    matrix.append(row)

possible = (any(x_ands) == any(y_ands)) \
    and all(x_ands[j] or y_ands[i] for i in xrange(m) for j in xrange(n) if matrix[i][j] == 1)
print 'YES' if possible else 'NO'

if possible:
    for y_val in y_ands:
        print " ".join(str(x_val and y_val) for x_val in x_ands)