Drawing a Diamond

Problem Description

Given a positive integer $n$, draw a diamond of side length $n$ grid cells on a canvas of $(2n - 1) \times (2n - 1)$ cells, using characters. Empty cells are represented by $\cdot$, and the cells on the edges of the diamond are represented by $+$.

For example, when $n = 3$, the figure is as follows:

..+..
.+.+.
+...+
.+.+.
..+..

Input Format

Input a positive integer $n$.

Output Format

Output $2n - 1$ lines, representing the diamond drawn as required.

Sample Input

4

Sample Output

...+...
..+.+..
.+...+.
+.....+
.+...+.
..+.+..
...+...

Sample Explanation

When $n = 4$, the canvas size is $(2 \times 4 - 1) \times (2 \times 4 - 1) = 7 \times 7$. We need to draw a diamond of side length 4, i.e. each edge consists of $4$ + characters (including the vertices). Starting from the top, the + in the 1st row is at the center (4th character); the 2nd row has two + at positions 3 and 5 with one . in between; the 3rd row has two + at positions 2 and 6 with three . in between; the 4th row (center row) has two + at positions 1 and 7 with five . in between. The lower half is symmetric to the upper half: the 5th row equals the 3rd, the 6th equals the 2nd, and the 7th equals the 1st. This gives the figure in the sample.

Constraints

$3 \le n \le 15$.