DWITE Online Computer Programming Contest, December 2009, Problem 4

The objective is to draw a spiral pattern, starting from the center, and wrapping around itself in a counter-clockwise direction. Each step is numbered by an integer, starting at 0 and counting up. There are no spaces joining the numbers, but some spots might be filled by a period . to complete a minimum rectangle, assuming that each number takes up just one slot.

The input will contain 5 lines, integers ~0 \le N \le 20~, the highest number appearing in the pattern.

The output will contain 5 sets — rendered patterns as described above.

Sample Input

0
1
2
4
12

Sample Output

0
0
1
0.
12
.4
03
12
654.
703.
812.
9101112

Problem Resource: DWITE