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:
'''
Created on Nov 13, 2014

@author: nkyrt
'''

def solve_it(B, m, n):
    rows = [1] * m
    cols = [1] * n
    for i in xrange(m):
        for j in xrange(n):
            if not B[i][j]:
                rows[i] = 0
                cols[j] = 0
    if any(rows) != any(cols):
        return 'NO', None
    for i in xrange(m):
        for j in xrange(n):
            if B[i][j] and not rows[i] and not cols[j]:
                return 'NO', None
    A = [['0' if not rows[i] or not cols[j] else '1' for j in xrange(n)] for i in xrange(m)]
    return 'YES', A
                

if __name__ == '__main__':
    m, n = (int(x) for x in raw_input().split())
    B = []
    for i in xrange(m):
        B.append([int(x) for x in raw_input().split()])
    msg, A = solve_it(B, m, n)
    print msg
    if msg == 'YES':
        print '\n'.join((' '.join(row) for row in A))