Problem:
Score : 300 points

Problem Statement

You are given a grid of squares with H horizontal rows and W vertical columns, where each square is painted white or black.
HW characters from A_{11} to A_{HW} represent the colors of the squares.
A_{ij} is # if the square at the i-th row from the top and the j-th column from the left is black, and A_{ij} is . if that square is white.

We will repeatedly perform the following operation until all the squares are black:

Every white square that shares a side with a black square, becomes black.

Find the number of operations that will be performed.
The initial grid has at least one black square.

Constraints

1 \leq H,W \leq 1000

A_{ij} is # or ..

The given grid has at least one black square.

Input

Input is given from Standard Input in the following format:

H W
A_{11}A_{12}...A_{1W}
:
A_{H1}A_{H2}...A_{HW}

Output

Print the number of operations that will be performed.

Sample Input 1

3 3
...
.#.
...

Sample Output 1

2

After one operation, all but the corners of the grid will be black. After one more operation, all the squares will be black.

Sample Input 2

6 6
..#..#
......
#..#..
......
.#....
....#.

Sample Output 2

3

Solution in Python (3.4.3) (judge verdict: Runtime Error)

h, w = map(int, input().split())

grid = []
for _ in range(w):
    grid.append([x == '#' for x in input()])

maxd = 0
for i in range(h):
    for j in range(w):
        if grid[i][j] is False:
            mind = 10000000
            for ii in range(h):
                for jj in range(w):
                    if grid[ii][jj] is True:
                        d = abs(i - ii) + abs(j - jj)
                        if d < mind:
                            mind = d
            if mind > maxd:
                maxd = mind

print(maxd)