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:
# rows, cols
m, n = map(int, input().split())

d = {}
for i in range(m):
    l = list(map(int, input().split()))
    for j in range(n):
        d[(i, j)] = l[j]

row_1 = [r for r in range(m) if all([(d[(r, c)] == 1) for c in range(n)])]
col_1 = [c for c in range(n) if all([(d[(r, c)] == 1) for r in range(m)])]

if (len(row_1) > 0) ^ (len(col_1) > 0):
    print('NO')
else:
    for i, j in d:
        if d[(i, j)] == 1 and not (i in row_1 or j in col_1):
            print('NO')
            break
    else:
        print('YES')
        result = [[0 for i in range(n)] for j in range(m)]
        for i in row_1:
            for j in col_1:
                result[i][j] = 1
        
        for i in range(m):
            for j in range(n):
                print(result[i][j], end=' ')
            print()