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
read = lambda t=int: list(map(t,sys.stdin.readline().split()))
array = lambda *ds: [array(*ds[1:]) for _ in range(ds[0])] if ds else 0

m, n = read()
table = [read() for _ in range(m)]

rows = [all(row) for row in table]
cols = [all(col) for col in zip(*table)]

for i in range(m):
    for j in range(n):
        if table[i][j] and not rows[i] and not cols[j]:
            print "NO"
            sys.exit()
if (any(rows) or any(cols)) and (not any(rows) or not any(cols)):
    print "NO"
    sys.exit()

print "YES"
table2 = array(m, n)
for i in range(m):
    for j in range(n):
        table2[i][j] = int(rows[i] and cols[j])
    print ' '.join(map(str, table2[i]))

# 0 1 1 0
# 1 1 1 1 
# 1 1 1 1
# 0 1 1 0