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:
nums = input().split()
rows , colums = int(nums[0]) , int(nums[1])
matrix1=[[1] * colums] * rows
inputMatrix= []
for _ in  range(rows):
    inputMatrix.append([int(i) for i in input().split()])
for rowIndex , row  in enumerate(inputMatrix):
     for columIndex , val in enumerate(row) :
         if val == 0:
             matrix1[rowIndex] = [0]*colums
             for j in range(rows):
                 matrix1[j][columIndex] = 0

def check() :             
    for rowIndex , row  in enumerate(inputMatrix):
        for columIndex , val in enumerate(row) :
            if val == 1:
                dic=[]
                for j in range(rows):
                    dic.append(matrix1[j][columIndex])
                if 1 not in matrix1[rowIndex] and 1 not in dic:
                    return "NO"
               
    return "YES"
                
                
                
checkVal = check()
if checkVal =="NO":
    print("NO")
else:
    print("YES")
    for row in matrix1:
        print(" ".join(str(x) for x in row))