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:
def getColumn(i):
    Temp = []
    for j in range(X[0]):
        Temp.append(Answer[j][i])
    return Temp


def setColumn(i):
    for j in range(X[0]):
        Answer[j][i] = 0


def setRow(i):
    for j in range(X[1]):
        Answer[i][j] = 0


def ShowMat():
    for i in range(X[0]):
        print(*Answer[i])
    print()


X = list(map(int, input().split()))
Zeros, Ones = [], []
S = [list(map(int, input().split())) for i in range(X[0])]
Answer = [[1] * X[1] for i in range(X[0])]
for i in range(X[0]):
    for j in range(X[1]):
        if S[i][j] == 0:
            Zeros.append([i, j])
        else:
            Ones.append([i, j])
for i in Zeros:
    setRow(i[0])
    setColumn(i[1])
for i in Ones:
    if 1 not in Answer[i[0]]+getColumn(i[1]):

        print("NO")
        exit()
print("YES")
ShowMat()
# Let's see who is the best !!!
# ravenS_The_Best