Mines

The game of mines is a tricky one. You start with a grid and you click your way through the cells to find out what's under them. If you click on a cell with a mine under it, it's game over! If you click on a cell without a mine under it, you get to continue. Every time you uncover an empty cell, the cell may show a number indicating the number of mines that are around it in the 8 adjacent cells.

In this problem, you will be given a grid with the locations of all of the mines. You will then have to print the same grid with the appropriate numbers in the empty cells.

If a cell does not have any mine in its adjacent cells, you will leave the cell unchanged.

Input

The input will start with two integers, $R$ and $C$ ($0 < R, C ≤ 10$). The following $R$ lines will each contain $C$ characters representing the contents of the corresponding cells.

An asterisk (*) is used to indicate a mine and a dot (.) is used indicate an empty cell.

Output

Print the same grid, but with the appropriate numbers in the cells that has mines adjacent to them.

Sample

Input	Output
3 9 .**..*... ....*..** ..*......	1**22*222 1333*22** .1*211122