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 PYTHON3):

Solution:
from collections import defaultdict
g = defaultdict(list)
row = defaultdict(int)
column = defaultdict(int)
ng = defaultdict(list)
gg = defaultdict(list)


n,m= (int(x) for x in input('').split())
for i in range(n):
    g[i]=[int(x) for x in input('').split()]
    ng[i]= [0] * m
    gg[i]= [0] * m
for i in range(n):
    row[i] = all(g[i])
for j in range(m):
    column[j] = all(g[i][j] for i in range(n))

for i in range(n):
    for j in range(m):
        ng[i][j] = int(row[i] and column[j])

for i in range(n):
    if any(ng[i]):
        gg[i] = [1]*m

for j in range(m):
    if any(ng[i][j] for i in range(n)):
        for i in range(n):
            gg[i][j] = 1


#print(g)
#print(row)
#print(column)
#print(ng)
#print(gg)
if gg == g:
    print('YES')
    for i in range(n):
        print(' '.join(str(x) for x in ng[i]))
else:
    print('NO')