Pikachu has recently learnt a new move $$ s $$. He knows he can work hard and convert it into a stronger move $$ t $$. Both the moves $$ s $$ and $$ t $$ contain the same number of letters.
In a single day, Pikachu can increase any letter of move $$ s $$ by one, that is, in a single day, he can convert letter $$A$$ to $$B$$, $$ C$$ to $$ D $$, $$M $$ to $$N$$ and so on. He can also convert letter $$Z$$ to letter $$A$$.
Pikachu just realized he also has a hidden ability. It can help him increase any letter of move $$ s $$ by $$ 13 $$, that is, in a single day, he can convert letter $$A$$ to letter $$N$$, $$B$$ into $$O$$, $$M$$ into $$Z$$ , $$ O$$ into $$B$$ and so on.
Now Pikachu wants to know the minimum number of days in which he can convert the move $$ s $$ into move $$ t $$ ?
Constraints:
- \(1\le |s|=|t|\le 10^5\)
- s and t consists of uppercase English letters only
Input format:
- First line contains an integer $$ n $$, the length of strings $$ s $$ and $$ t $$
- Second line contains string $$ s $$ of length $$ n $$
- Third line contains string $$ t $$ of length $$ n $$
Output format:
- Output single line containing the minimum number of days required