You are given an H × W grid.
The squares in the grid are described by H strings, S_1,...,S_H.
The j-th character in the string S_i corresponds to the square at the i-th row from the top and j-th column from the left (1 \leq i \leq H,1 \leq j \leq W).
`.` stands for an empty square, and `#` stands for a square containing a bomb.

Dolphin is interested in how many bomb squares are horizontally, vertically or diagonally adjacent to each empty square.
(Below, we will simply say "adjacent" for this meaning. For each square, there are at most eight adjacent squares.)
He decides to replace each `.` in our H strings with a digit that represents the number of bomb squares adjacent to the corresponding empty square.

Print the strings after the process.

Constraints

* 1 \leq H,W \leq 50
* S_i is a string of length W consisting of `#` and `.`.

Input

Input is given from Standard Input in the following format:


H W
S_1
:
S_H


Output

Print the H strings after the process.
The i-th line should contain a string T_i of length W, where the j-th character in T_i corresponds to the square at the i-th row from the top and j-th row from the left in the grid (1 \leq i \leq H, 1 \leq j \leq W).

Examples

Input

3 5
.....
.#.#.
.....


Output

11211
1#2#1
11211


Input

3 5


Output




Input

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


Output

3
8#7##
5#
4#65#2
5##21
4#310
H, W = gets.chomp.split.map(&:to_i)

Ss = Array.new(H) {gets.chomp}
ans = Array.new(H) {"#" * W} # 文字列オブジェクトを指定した回数繰り返す

# 行の繰り返しを見る
H.times do |y|
  # 列の繰り返しを見る
  W.times do |x|
    bom = 0

    ## 爆弾がある場合
    if Ss[y][x] == "#"
      next # "#"を置いて次を見る
    end

    # 時計回り
    # 左上
    if y != 0 && x != 0
      if Ss[y - 1][x -1] == "#"
        bom += 1
      end
    end

    # 上 x 軸は変わらない
    if y != 0
      if Ss[y - 1][x] == "#"
        bom += 1
      end
    end

    # 右上 x 軸 1 つずれる
    if y != 0 && x != W - 1
      if Ss[y - 1][x + 1] == "#"
        bom += 1
      end
    end
    
    # 右 y 軸 は変わらない
    if x != W - 1
      if Ss[y][x + 1] == "#"
        bom += 1
      end
    end

    # 右下
    if y != H - 1 && W - 1
      if Ss[y + 1][x + 1] == "#"
        bom += 1
      end
    end

    # 下
    if y != H - 1
      if Ss[y + 1][x] == "#"
        bom += 1
      end
    end

    # 左下
    if y != H - 1 && x != 0
      if Ss[y + 1][x - 1] == "#"
        bom += 1
      end
    end

    # 左 y 軸は変わらない
    if x != 0
      if [y][x - 1] == "#"
        bom += 1
      end
    end

    ## 一周終わり
    ans[y][x] = bom.to_s
  end
end

puts ans

#      -----
#      .....
#      .#.#.
#      .....
#      -----