3005.OR in Matrix

Time Limit: 1s Memory Limit: 256MB

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:3005_1.png where 3005_2.png 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 \le i \le m) and column j (1 \le j \le 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:3005_3.png.(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 Format(From the terminal/stdin)

Input The first line contains two integer m and n (1 \le m,n \le 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 Format(To the terminal/stdout)

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.

Sample Input 1

Copy
2 2
1 0
0 0
 · \n
 · \n
 · \n

Sample Output 1

Copy
NO
  \n

Sample Input 2

Copy
2 3
1 1 1
1 1 1
 · \n
 · · \n
 · · \n

Sample Output 2

Copy
YES
1 1 1
1 1 1
   \n
 · · \n
 · · \n

Sample Input 3

Copy
2 3
0 1 0
1 1 1
 · \n
 · · \n
 · · \n

Sample Output 3

Copy
YES
0 0 0
0 1 0
   \n
 · · \n
 · · \n

Submit

请先 登录

© 2025 FAQs