﻿ Fuzhou University OnlineJudge ﻿  Problem 1214 Density Map

## Problem Description

There are given:

• integers n > r >= 0,
• F - the table n x n with the numbers from the set {0,1};
• columns and lines of the table are numbered from 1 to n;
• the number in i-th column and j-th line of the table is denoted by F[i,j].

If [i,j] and [i',j'] are two positions in the table F, the distance between them is max(|i-i'|, |j-j'|).

The table W, n x 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 r.

## Input

There several test cases. In the first line of each case there are two positive integers separated by a single space: n and r,where 0 <= r < n <= 250. In the following n lines the table F is described. Each of these lines contains n integers from the set {0,1}, separated by single spaces. The i-th number written in (j+1)-st line is equal to F[i,j].

## 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

5 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0

## Sample Output

3 4 2 2 1 4 5 2 2 1 3 4 3 3 2 2 2 2 2 2 1 1 2 2 2

## Source

POI 01

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