CF1191A.Tokitsukaze and Enhancement

Tokitsukaze is one of the characters in the game "Kantai Collection". In this game, every character has a common attribute — health points, shortened to HP.

In general, different values of HP are grouped into $4$ categories:

• Category $A$ if HP is in the form of $(4 n + 1)$, that is, when divided by $4$, the remainder is $1$;
• Category $B$ if HP is in the form of $(4 n + 3)$, that is, when divided by $4$, the remainder is $3$;
• Category $C$ if HP is in the form of $(4 n + 2)$, that is, when divided by $4$, the remainder is $2$;
• Category $D$ if HP is in the form of $4 n$, that is, when divided by $4$, the remainder is $0$.

The above-mentioned $n$ can be any integer.

These $4$ categories ordered from highest to lowest as $A \gt B \gt C \gt D$, which means category $A$ is the highest and category $D$ is the lowest.

While playing the game, players can increase the HP of the character. Now, Tokitsukaze wants you to increase her HP by at most $2$ (that is, either by $0$, $1$ or $2$). How much should she increase her HP so that it has the highest possible category?

“时雨”是游戏《舰队Collection》中的角色之一。在该游戏中，每个角色都具有一个通用属性——生命值（Hit Points），简称为 HP。

通常，不同的 HP 值被划分为 $4$ 个类别：

• 若 HP 形如 $(4 n + 1)$，即除以 $4$ 余数为 $1$，则属于 A 类；
• 若 HP 形如 $(4 n + 3)$，即除以 $4$ 余数为 $3$，则属于 B 类；
• 若 HP 形如 $(4 n + 2)$，即除以 $4$ 余数为 $2$，则属于 C 类；
• 若 HP 形如 $4 n$，即除以 $4$ 余数为 $0$，则属于 D 类。

其中，上述 $n$ 可取任意整数。

这 $4$ 个类别的优先级从高到低依次为：$A \gt B \gt C \gt D$，即 A 类最高，D 类最低。

在游戏中，玩家可以提升角色的 HP。现在，“时雨”希望你最多将她的 HP 提升 $2$ 点（即提升 $0$、$1$ 或 $2$ 点）。那么，她应将 HP 提升多少点，才能使其所属类别尽可能高？

The only line contains a single integer $x$ ($30 \leq x \leq 100$) — the value Tokitsukaze's HP currently.

唯一的一行包含一个整数 $x$（$30 \leq x \leq 100$）—— 表示时雨酱当前的生命值（HP）。

Print an integer $a$ ($0 \leq a \leq 2$) and an uppercase letter $b$ ($b \in \lbrace A, B, C, D \rbrace$), representing that the best way is to increase her HP by $a$, and then the category becomes $b$.

Note that the output characters are case-sensitive.

输出一个整数 $a$（$0 \leq a \leq 2$）和一个大写字母 $b$（$b \in \lbrace A, B, C, D \rbrace$），表示最优策略是将她的 HP 增加 $a$，之后其类别变为 $b$。

注意：输出的字符区分大小写。

For the first example, the category of Tokitsukaze's HP is already $A$, so you don't need to enhance her ability.

For the second example:

• If you don't increase her HP, its value is still $98$, which equals to $(4 \times 24 + 2)$, and its category is $C$.
• If you increase her HP by $1$, its value becomes $99$, which equals to $(4 \times 24 + 3)$, and its category becomes $B$.
• If you increase her HP by $2$, its value becomes $100$, which equals to $(4 \times 25)$, and its category becomes $D$.

Therefore, the best way is to increase her HP by $1$ so that the category of her HP becomes $B$.

对于第一个样例，时雨泽的 HP 类别已经是 $A$，因此无需提升她的能力。

对于第二个样例：

• 如果不提升她的 HP，其值仍为 $98$，即 $(4 \times 24 + 2)$，类别为 $C$。
• 如果将她的 HP 提升 $1$，其值变为 $99$，即 $(4 \times 24 + 3)$，类别变为 $B$。
• 如果将她的 HP 提升 $2$，其值变为 $100$，即 $(4 \times 25)$，类别变为 $D$。

因此，最优方案是将她的 HP 提升 $1$，使其 HP 类别变为 $B$。