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 functools import reduce

def foldM0(mat, n, m, f):
    ret = [x[:] for x in mat]
    for i in range(n):
        v = reduce(f, [mat[i][j] for j in range(m)])
        for j in range(m):
            ret[i][j] = v
    for i in range(m):
        v = reduce(f, [mat[j][i] for j in range(n)])
        for j in range(n):
            ret[j][i] = f(ret[j][i], v)
    return ret

    
def solve(mat, n, m):
    matpo = foldM0(mat, n, m, lambda x, y: x&y)
    if mat == foldM0(matpo, n, m, lambda x, y: x|y):
        print("YES")
        print("\n".join(" ".join(str(x) for x in xs) for xs in matpo))
    else:
        print("NO")

n, m = map(int, input().split())

mat = []
for i in range(n):
    mat.append(list(map(int, input().split())))
    
solve(mat, n, m)