Sphere Online Judge

SPOJ Problem Set (classical)

206. Bitmap

Problem code: 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 £owiec
Date:2004-09-13
Time limit:4s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel Pentium G860 3GHz)
Languages:All
Resource:6th Polish Olympiad in Informatics, stage 2

hide comments
2014-10-11 15:02:42 അഭി
single BFS from multiple source nodes
2014-10-10 12:21:53 Master_Card
Very good question!!
2014-09-27 09:21:20 mayank
dfs requires a lot of optimisation. Vector->Array, and currentDepth->Distance. :P
2014-09-27 08:01:10 sg
awesome problem!!
learnt a lot..
2014-07-19 17:36:51 Darren Sun
Good problem. Some optimization needed to overcome TLE
2014-06-26 22:09:41 prakhar
Good one..finally subitted aftr lots of tle.... :D
2014-06-26 12:37:34 Mohan K
the next step from (i,j) , at some instance of time are :
(i+1,j)
(i,j+1)
(i-1,j)
(i,j-1) .. #question nt very clear about this..
2014-02-28 21:27:39 Diana Gonzalez
TLE in python 2.7. Any hint???
--ans(francky)--> There's only one py2.7 visible AC, others are old py+psyco ones (36MB of memory print). You can see in Py3.2, there's only 2 AC ; it is a sign that it is hard to get AC in python here. Good luck.

Last edit: 2014-02-28 21:50:17
2014-02-02 09:49:05 newbie
very nice question..learned some new things
2014-01-21 19:31:37 siddhant gupta
Awesome ques..:)
© Spoj.com. All Rights Reserved. Spoj uses Sphere Engine™ © by Sphere Research Labs.