Nearest number - 2

Time Limit: 5000MS

Memory Limit: 65536K

Description

Input is the matrix A of N by N non-negative integers. A distance between two elements Aij and Apq 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. Constraints 1 ≤ N ≤ 200, 0 ≤ Ai ≤ 1000000

Input

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

Output

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

Sample Input

3
0 0 0
1 0 2
0 3 0

Sample Output

1 0 2
1 0 2
0 3 0

Hint

Source

Northeastern Europe 2003, Far-Eastern Subregi

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