Problem B. Advanced ASCII Cubes

Author:A. Klenin   Time limit:3 sec
Input file:input.txt   Memory limit:200 Mb
Output file:output.txt  

Statement

The table surface is divided into N by M square cells. Some cubes are stacked one upon another over the cells, forming towers. For each cell the number of cubes stacked over it is given in the matrix A.

Your program must output the view of the table in ASCII graphics, where each cube is represented as shown below:

  +---+
 /   /|      
+---+ |      
|   | + 
|   |/ 
+---+
(here the characters used are '+', '-', '/', '|', their ASCII codes are ASCII 43, 45, 47, 124)

The dot (ASCII 46) must be used as a background.

Input file format

Input file contains integers N M, followed by matrix A, row-by-row. The first row describes the cube tower furthest from the viewer, left to right, and the last row — nearest to the viewer.

Output file format

Output file must contain a string representation of the table view, with minimal number of lines required to show all cubes. Each line must contain a string of equal length, which is the minimal width required to show all cubes.

Constraints

1 ≤ N, M, Aij ≤ 50

Sample tests

No. Input file (input.txt) Output file (output.txt)
1
3 4
1 1 1 1
1 2 1 1
1 1 1 1
........+---+..........
......+/   /|-+---+---+
...../+---+ |/   /   /|
....+-|   | +---+---+ |
.../  |   |/   /   /| +
..+---+---+---+---+ |/.
./   /   /   /   /| +..
+---+---+---+---+ |/...
|   |   |   |   | +....
|   |   |   |   |/.....
+---+---+---+---+......
2
3 5
2 2 1 2 2
2 2 1 1 2
3 2 1 2 2
......+---+---+...+---+---+
..+---+  /   /|../   /   /|
./   /|-+---+ |.+---+---+ |
+---+ |/   /| +-|  /   /| +
|   | +---+ |/+---+---+ |/|
|   |/   /| +/   /   /| + |
+---+---+ |/+---+---+ |/| +
|   |   | +-|   |   | + |/.
|   |   |/  |   |   |/| +..
+---+---+---+---+---+ |/...
|   |   |   |   |   | +....
|   |   |   |   |   |/.....
+---+---+---+---+---+......

0.068s 0.011s 13