Fill Grid with Operations

You are given a grid with n rows and m columns initially filled with the character .. You need to perform a sequence of k operations. Each operation is described by four integers: x1, y1, x2, y2. For each operation, you should fill every cell in the subgrid defined by the top‐left cell (x1, y1) and the bottom‐right cell (x2, y2) (both inclusive) with the character X. The grid indices are 1-indexed.

The subrectangle defined by the coordinates satisfies the conditions: $$1 \le x1 \le x2 \le n$$ $$1 \le y1 \le y2 \le m$$

After all operations have been performed in the given order, output the final grid, printing each row as a string.

inputFormat

The first line contains two integers n and m separated by a space, representing the number of rows and columns respectively.

The second line contains a single integer k, the number of operations.

Each of the following k lines contains four integers x1 y1 x2 y2, describing an operation which fills the subrectangle from cell (x1, y1) to cell (x2, y2) with the character X.

outputFormat

Output n lines. Each line should be a string of length m representing a row of the grid after performing all the operations.

## sample

3 3
1
1 1 2 2

XX.
XX.
...

</p>