A9750 | OR in Matrix

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:

 where  is equal to $1$ if some $a_{i}=1$ , 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 $A_{ij}$ . All elements of $A$ are either 0 or 1. From matrix $A$ , Nam creates another matrix $B$ of the same size using formula:

.

( $B_{ij}$ 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.

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 $1$ ).

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.