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 Go (1.6) (judge verdict: Runtime Error)

package main

import (
	"fmt"
)

type xydata struct {
	x int
	y int
}

func main() {
	matrix := input()

	count := 0
	for {
		if true == check(matrix) {
			break
		}
		XYdata := getxydate(matrix)
		matrix = update(matrix, XYdata)
		count++
	}
	fmt.Println(count)
}

func check(matrix [][]string) bool {
	for x := 0; x < len(matrix[0]); x++ {
		for y := 0; y < len(matrix); y++ {
			if matrix[y][x] == "." {
				return false
			}
		}
	}
	return true
}

func update(matrix [][]string, inXYdata []xydata) [][]string {
	for i := 0; i < len(inXYdata); i++ {
		if (inXYdata[i].x - 1) >= 0 {
			matrix[inXYdata[i].y][inXYdata[i].x-1] = "#"
		}
		if (inXYdata[i].x + 1) < len(matrix[0]) {
			matrix[inXYdata[i].y][inXYdata[i].x+1] = "#"
		}
		if (inXYdata[i].y - 1) >= 0 {
			matrix[inXYdata[i].y-1][inXYdata[i].x] = "#"
		}
		if (inXYdata[i].y + 1) < len(matrix) {
			matrix[inXYdata[i].y+1][inXYdata[i].x] = "#"
		}
	}
	/*
		for x := 0; x < len(matrix); x++ {
			for y := 0; y < len(matrix[0]); y++ {
				fmt.Printf("%s", matrix[x][y])
			}
			fmt.Println()
		}
	*/
	return matrix
}

func getxydate(matrix [][]string) []xydata {
	var resXYdata []xydata
	//fmt.Printf("%d %d\n", len(matrix[0]), len(matrix))
	for x := 0; x < len(matrix[0]); x++ {
		for y := 0; y < len(matrix); y++ {
			if matrix[y][x] == "#" {
				resXYdata = append(resXYdata, xydata{x, y})
				//fmt.Printf("%d %d\n", x, y)
			}
		}
	}
	return resXYdata
}

func input() [][]string {
	var (
		x, y int
	)
	fmt.Scan(&x)
	fmt.Scan(&y)
	matrix := make([][]string, y)
	for yy := 0; yy < y; yy++ {
		matrix[yy] = make([]string, x)
	}

	var str string
	for yy := 0; yy < y; yy++ {
		fmt.Scan(&str)
		r := []rune(str)
		for xx := 0; xx < x; xx++ {
			matrix[yy][xx] = string(r[xx])
		}
	}
	/*
		for x := 0; x < i; x++ {
			for y := 0; y < j; y++ {
				fmt.Printf("%s", matrix[x][y])
			}
			fmt.Println()
		}
	*/
	return matrix
}