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.
输入描述:
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).


输出描述:
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.
示例1

输入

2 2<br />1 0<br />0 0<br />2 3<br />1 1 1<br />1 1 1<br />2 3<br />0 1 0<br />1 1 1<br />

输出

NO<br />YES<br />1 1 1<br />1 1 1<br />YES<br />0 0 0<br />0 1 0<br />
加载中...