In the game Minesweeper, every cell can either be a number or a bomb. If it’s a number, it shows how many bombs are around that cell (the neighboring 8 cells - the top, bottom, left, right, and all the diagonally adjacent cells).

Given an

field, it’s required to place `b`

bombs on the field, and print the final field in the output. All the coordinates with a bomb should have a `b`

instead of a number.The first line of the input contains 2 numbers the height

`h`

and width `w`

of the field (1 ≤ h, w ≤ 50). The second line contains the number of bombs `b`

. Each of the next `b`

lines contains the coordinates of the bombs

(row and column, where the numbering starts from 1).The program should output the final grid, where each cell is either a bomb annotated with a

`b`

, or one of the numbers which represent the number of adjacent bombs to that cell.Input | Output |

3 2
2
1 1
2 2 | b 2
2 b
1 1 |