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:
matrix = raw_input()
m = int(matrix.split()[0])
n = int(matrix.split()[1])
matrix = [['0' for x in range(n)] for x in range(m)] 
answer = [['0' for x in range(n)] for x in range(m)] 
index=0
#print matrix

while index < m:
	matrix[index] = raw_input().split()
	index+=1
#print matrix

test = False
enter = False
for i in range(m):
	for j in range(n):
		#print matrix[i][j]
		if(matrix[i][j] == '1'):
			enter = True
			if '0' in matrix[i] and '0' in [matrix[idd][j] for idd in range(m)]:
				print "NO"
				exit()
			elif '0' not in matrix[i] and '0' not in [matrix[idd][j] for idd in range(m)]:
				answer[i][j] = '1'
				test = True
#print answer

if not test and enter:
	print "NO"
	exit()
print "YES"
for i in range(m):
	print " ".join(answer[i])