Input is the matrix A of N by N non-negative integers.</p>

A distance between two elements A_i,j and A_p,q is defined as |i − p| + |j − q|.

Your program must replace each zero element in the matrix with the nearest non-zero one. If there are two or more nearest non-zeroes, the zero must be left in place. 

입력 형식

Input file contains the number N followed by N² integers, representing the matrix rowby-row. 

출력 형식

Output file must contain N² integers, representing the modified matrix row-by-row. 

예제 입력

3
0 0 0
1 0 2
0 3 0

예제 출력

1 0 2
1 0 2
0 3 0