$($C Program please$)$ To craft an ultimate sword, Kaela needs a thin slice of this crystal, but directly slicing such a rare gem is a tough task

as jewels of emotions are known to be extremely fragile. To avoid damaging the crystal, Kaela asked you to write a program to visualize

the cross$-$section of the crystal at any given depth.

The crystal's cross$-$section at any depth forms a diamond$-$shaped pattern. The outermost layer of the diamond is labeled with the letter

$\text{'}A\text{'}.$ The subsequent inner layers are labeled $\text{'}$B$\text{'},\text{'}C\text{'},$ and so forth. After $\text{'}Z\text{'},$ the labeling wraps around to $\text{'}A\text{'}$ again and continues.

Here is an animation showing the cross$-$section of the crystal with $5$ layers, varying $D.$

Note that there are spaces before and after the characters. You have to print them out too. For example, for $L=5$ and $D=6,$ you must

print:

Input

The input consists of $2$ integers, $L$ and $D.$

$L(1L1000)$ : The total number of layers in the crystal.

$*L-1$ : The depth of the cross$-$section

Output

The cross$-$section of the crystal at depth D$.$ The cross$-$section should consist of $2$L$-1$ lines with $2$L$-1$ characters on each line,

including spaces. The center of the cross$-$section should be located at the exact middle point of the Lth line. Also, all line has a newline

character $(\text{'}\{$:${?}^{\text{'}})$ at the end.

Sample Input

Sample Output

A

ABA

ABCBA

ABA

A