BITMAP - Bitmap

There is given a rectangular bitmap of size n*m. Each pixel of the bitmap is either white or black, but at least one is white. The pixel in i-th line and j-th column is called the pixel (i,j). The distance between two pixels p1=(i1,j1) and p2=(i2,j2) is defined as:

d(p1,p2)=|i1-i2|+|j1-j2|.

Task

Write a program which:

  • reads the description of the bitmap from the standard input,
  • for each pixel, computes the distance to the nearest white pixel,
  • writes the results to the standard output.

Input

The number of test cases t is in the first line of input, then t test cases follow separated by an empty line. In the first line of each test case there is a pair of integer numbers n, m separated by a single space, 1<=n <=182, 1<=m<=182. In each of the following n lines of the test case exactly one zero-one word of length m, the description of one line of the bitmap, is written. On the j-th position in the line (i+1), 1 <= i <= n, 1 <= j <= m, is '1' if, and only if the pixel (i,j) is white.

Output

In the i-th line for each test case, 1<=i<=n, there should be written m integers f(i,1),...,f(i,m) separated by single spaces, where f(i,j) is the distance from the pixel (i,j) to the nearest white pixel.

Example

Sample input:
1
3 4
0001
0011
0110

Sample output:
3 2 1 0
2 1 0 0
1 0 0 1

Added by:Piotr Ɓowiec
Date:2004-09-13
Time limit:4s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:6th Polish Olympiad in Informatics, stage 2

hide comments
2015-08-27 17:27:46 epsilon
brute_force woks wondering why (time==3.34sec)!!!!!!!!!!!!!
using bfs(time==0.04sec)

Last edit: 2015-08-27 19:11:55
2015-08-13 06:49:57 ganpya
BFS on whilte Pixel vs BFS on Black Pixel : AC vs TLE
2015-08-03 00:13:50 ALi Ibrahim
easy problem, simple bfs, First Accepted in 0.24 :)
2015-07-31 17:56:57 monkz
will O(n^3) solution work??
2015-07-26 18:19:57 Vikrant Singh
@Ashish
Brute Force, really ?
2015-07-08 15:21:58 Ashish
Can be done by simple brute force! I will try doing it by BFS though.
2015-07-08 13:38:40 shravinson
it is giving WA
my code : <snip>

Last edit: 2023-01-24 22:02:39
2015-07-05 11:43:21
make sure you are taking input of white and black spaces as a character..it costed me 3 wa.
2015-06-27 16:11:05
The input specification is ambiguous: "t test cases follow separated by an empty line"
This could mean that the empty line is after all of the test cases. But apparently it is after each test case.
I would suggest changing the wording, e.g., "t test cases, each of which is followed by an empty line"

Last edit: 2015-06-27 16:11:22
2015-06-16 16:37:22 Mayank Jethva
Good concept recognition question
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