find the nearest station

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)



Since dandelion has left the hometown so long,she finds it's difficult to find the station in the city.So she needs you ,a clear programmer, to help her.
Now you know the map of the city, which has showed every station in the city.You are asked to find the shortest distance between every grid and the stations.You should notice that the road in dandelion's hometown is vertical or horizontal,so the distance of two girds is defined as |x1-x2|+|y1-y2|.


The input consists of several test cases. Each test case start with a line containing two number, n, m(1 <= n, m ≤ 182), the rows and the columns of city. Then n lines follow, each contain exact m characters, representing the type of block in it. (0 for empty place ,1 for station).The data will contains at least one station.


For every case ,print a matrix with n rows and m columns, the number in the i row and j column stands for the distance from this grid to the shortest station.

Sample Input

3 4 0001 0011 0110

Sample Output

3 2 1 0 2 1 0 0 1 0 0 1