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 Counter
import string
import math

def array_int():

    return [int(i) for i in input().split()]
def vary(number_of_variables):
    if number_of_variables==1:
        return int(input())
    if number_of_variables>=2:
        return map(int,input().split()) 
def makedict(var):
    return dict(Counter(var))
mod=1000000007
m,n=vary(2)
mat=[]
for i in range(m):
    mat.append(array_int())
pat=[]
for i in range(m):
    pat.append([int(-2) for j in range(n)])
for i in range(m):
    for j in range(n):
        if mat[i][j]==0:
            for k in range(n):
                pat[i][k]=0
            for k in range(m):
                pat[k][j]=0
for i in range(m):
    for j in range(n):
        if pat[i][j]==-2:
            pat[i][j]=1

""" for i in range(m):
    print(*pat[i]) """
cat=[]
for i in range(m):
    cat.append([0 for j in range(n)])
for i in range(m):
    for j in range(n):
        for k in range(n):
            if pat[i][k]==1:
                cat[i][j]=1
                
        for k in range(m):
            if pat[k][j]==1:
                cat[i][j]=1
""" print(cat)
print(mat)
print(pat) """
if cat==mat:
    print('YES')
    for i in range(m):
        print(*pat[i])
else:
    print('NO')