## Problem Description

There are given:

1. an integer n>0;

2. F-the table n*n with the numbers from the set {0,1} and G-the table n*n with the numbers from the set {0,1...n-1,n};
Columns and lines of the tables are numbered from 1 to n; The number in i-th column and j-th line of the each table is denoted by F[i,j] and G[i,j] respectively.
If [i, j] and [i', j'] are two positions in the table F, the distance between them is sum(|i - i'|, |j - j'|).

**Task**

The table W, n*n, should be computed, where W[i, j] (the number in i-th column and j-th line of the table W) is equal to the sum of all the numbers F[x,y], such that the distance between [x,y] and [i,j] is not greater than G[i,j].

## Input

There several test cases. In the first line of each case there are one positive integer n, where 0 < n <=200. In the following 2*n lines the table F and G are described. Each of these lines contains n integers, separated by single spaces.

## Output

Output of each case should contain exactly n lines. In the j-th line the values W[1, j]...W[n, j] should be written respectively; they should be separated by single spaces.Output a blank line after each case.

## Sample Input

2
1 1
1 1
1 1
1 1

## Sample Output

3 3
3 3

## Source

FZU 2006 ICPC Qualification Round I