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 PYTHON):

Solution:
import math

m, n = map(int, raw_input().split())
grid = []
for i in range(m):
  row = map(int, raw_input().split())
  grid.append(row)

def check(x, y):
  #up
  for i in range(0, x):
    if grid[i][y] == 0:
      return False
  #down
  for i in range(x + 1, m):
    if grid[i][y] == 0:
      return False
  #left
  for i in range(0, y):
    if grid[x][i] == 0:
      return False
  #right
  for i in range(y + 1, n):
    if grid[x][i] == 0:
      return False
  return True

out_grid = []
for i in range(m):
  row = [0] * n
  out_grid.append(row)

row_memo = [0] * m
col_memo = [0] * n
for i in range(m):
  for j in range(n):
    if grid[i][j] == 1:
      if not check(i, j):
        out_grid[i][j] = 0
      else:
        out_grid[i][j] = 1
        row_memo[i] = 1
        col_memo[j] = 1

for i in range(m):
  for j in range(n):
    if (row_memo[i] == 0 and col_memo[j] == 0) and grid[i][j] == 1:
      print "NO"
      exit()


print "YES"
for i in range(m):
  for j in range(n):
    print out_grid[i][j],
  print