Avoid Anagrams

A pair of strings form an anagram if the first of them can be transformed into the second by a permutation of letters. For example, "listen" and "silent" form an anagram, but "master" and "nearest" do not.

A subsequence of string $s = s\_1 s\_2 \dots s\_n$ is a string $s\_{a\_1} s\_{a\_2} \dots s\_{a\_k}$, where $1 \le a\_1 < a\_2 < \dots < a\_k \le n$.

Given string $s$, determine the maximal number of its subsequences which can be written down such that no pair of strings in the resulting list does form an anagram.

A single line containing string $s$ of at most $60$ small latin letters.

Print one number --- the answer.

In the first sample the resulting list of strings may be: "j", "o", "jj", "jo", "oo", "jjo", "joo", "jojo".