## Page 1 10189 Minesweeper Have you ever played Minesweeper? It’s a cute little game which comes within a certain Operating System which name we can’t really remember. Well, the goal of the game is to find where are all the mines within a M × N field. To help you, the game shows a number in a square which tells you how many mines there are adjacent to that square. For instance, supose the following 4 × 4 field with 2 mines (which are represented by an ‘*’ character): *... .... .*.. .... If we would represent the same field placing the hint numbers described above, we would end up with: *100 2210 1*10 1110 As you may have already noticed, each square may have at most 8 adjacent squares. Input The input will consist of an arbitrary number of fields. The first line of each field contains two integers n and m (0 < n, m ≤100) which stands for the number of lines and columns of the field respectively. The next n lines contains exactly m characters and represent the field. Each safe square is represented by an ‘.’ character (without the quotes) and each mine square is represented by an ‘*’ character (also without the quotes). The first field line where n = m = 0 represents the end of input and should not be processed. Output For each field, you must print the following message in a line alone: Field #x: Where x stands for the number of the field (starting from 1). The next n lines should contain the field with the ‘.’ characters replaced by the number of adjacent mines to that square. There must be an empty line between field outputs. Sample Input 4 4 *... .... .*.. .... 3 5 ## Page 2 **... ..... .*... 0 0 Sample Output Field #1: *100 2210 1*10 1110 Field #2: **100 33200 1*100