Xiao Yang's H-Matrix

Problem Description

Xiao Yang wants to construct an $N \times N$ H-shaped matrix ($N$ is odd). Specifically, this matrix has $N$ rows, each with $N$ characters, where the leftmost column and the rightmost column are both |, and the middle row (i.e. the $\frac{N+1}{2}$-th row) has its 2nd to $(N-1)$-th characters all -, while all remaining characters are the lowercase half-width letter a. For example, an $N=5$ H-matrix is as follows:

|aaa|
|aaa|
|---|
|aaa|
|aaa|

Please help Xiao Yang print the corresponding "H-matrix" for a given $N$.

Input Format

One line with an integer $N$ ($5\le N \le 49$, it is guaranteed that $N$ is odd).

Output Format

Output the corresponding "H-matrix".

Strictly follow the required format; do not add any spaces, punctuation, blank lines, or any other symbols on your own. You must output exactly $N$ rows, each containing exactly $N$ characters besides the newline, and each character is either -, |, or a. Your output must match the standard answer exactly to score, so please check carefully before submitting.

Sample Input 1

5

Sample Output 1

|aaa|
|aaa|
|---|
|aaa|
|aaa|

Sample Input 2

7

Sample Output 2

|aaaaa|
|aaaaa|
|aaaaa|
|-----|
|aaaaa|
|aaaaa|
|aaaaa|

Sample Explanation

For $N=5$:

• Rows 1, 2, 4, and 5: leftmost and rightmost are |, with the middle $3$ characters being a, i.e. |aaa|.
• Row 3 is the middle row ($\frac{5+1}{2}=3$); besides the leading and trailing |, columns 2 to 4 are all -, so it is |---|. So the output is as shown in the sample.

Constraints

• $5 \le N \le 49$, and $N$ is odd.