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:
n,m=map(int,input().split())
M=[list(map(int,input().split())) for i in range(n)]
M1=[[-1 for i in range(m)] for i in range(n)]
for i in range(n) :
    for j in range(m) :
        if M[i][j]==0 :
            for i1 in range(m) :
                M1[i][i1]=0
            for i1 in range(n) :
                M1[i1][j]=0
for i in range(n) :
    for j in range(m) :
        if M1[i][j]==-1 :
            M1[i][j]=1
T='YES'

for i in range(n) :
    for j in range(m) :
        c=0
        if M[i][j]==0 :
            for i1 in range(m) :
                if M1[i][i1]!=0 :
                    c=1
                    break
            for i1 in range(n) :
                if M1[i1][j]!=0 :
                    c=1
                    break
        else :
            c=1
            for i1 in range(m) :
                if M1[i][i1]!=0 :
                    c=0
                    break
            for i1 in range(n) :
                if M1[i1][j]!=0 :
                    c=0
                    break
        if c==1 :
            T='NO'
            break
print(T)
if T=='YES' :
    for i in range(n) :
        print(*M1[i])