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:
I=lambda: map(int, raw_input().split())
n,m=I()
s = [I() for _ in xrange(n)]
t = [[0 for i in xrange(m)] for j in xrange(n)]
rows = [1] * n
cols = [1] * m
noFlag = False
for x in xrange(n):
	for y in xrange(m):
		rows[x] = rows[x] and s[x][y]
		cols[y] = cols[y] and s[x][y]
for x in xrange(n):
	for y in xrange(m):
		if rows[x] == 1 and cols[y] == 1:
			t[x][y] = 1
		else:
			t[x][y] = 0
		
rowsOr = [0] * n
colsOr = [0] * m

for x in xrange(n):
	for y in xrange(m):
		rowsOr[x] = rowsOr[x] or t[x][y]
		colsOr[y] = colsOr[y] or t[x][y]

for x in xrange(n):
	for y in xrange(m):
		if s[x][y] != (rowsOr[x] or colsOr[y]):
			noFlag = True
	

if noFlag:
	print 'NO'
else:
	print 'YES'
	for x in xrange(n):
		print ' '.join(map(str, t[x]))