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 ith line and jth column is called the pixel (i,j). The distance between two pixels p_{1}=(i_{1},j_{1}) and p_{2}=(i_{2},j_{2}) is defined as:
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 zeroone word of length m, the description of one line of the bitmap, is written. On the jth 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 ith 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 Ćowiec 
Date:  20040913 
Time limit:  4s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel Pentium G860 3GHz) 
Languages:  All except: SCM chicken 
Resource:  6th Polish Olympiad in Informatics, stage 2 
hide comments
tropicalsurf:
20150627 16:11:05
The input specification is ambiguous: "t test cases follow separated by an empty line"


Mayank Jethva:
20150616 16:37:22
Good concept recognition question 

SangKuan:
20150616 09:02:58
use bfs.and be care of the index of array Last edit: 20150616 10:11:48 

Rakesh:
20150614 22:12:43
My first with dp using iteration... 

reggaeguitar:
20150429 16:59:33
"here 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." See the last part of the sentence, "at least one is white" 

Priyanjit Dey:
20150419 20:45:57
ok.. tell what is the output of


Abhay:
20150404 20:15:23
Can anyone help me with some test cases? I've tried many test cases but I am getting WA. 

soshika:
20150401 00:41:06
multisource bfs :)) 

Rachit:
20150315 12:44:42
" but at least one is white "


David:
20150303 00:53:34
What if there are no white pixels in the bitmap, what should I print? 