**5 人解决**，10 人已尝试。

**8 份提交通过**，共有 180 份提交。

**8.2** EMB 奖励。

**单点时限: **10.0 sec

**内存限制: **256 MB

An anagram is a word or a phrase that is formed by rearranging the letters of another. For instance, by rearranging the letters of `William Shakespeare,`

we can have its anagrams `I am a weakish speller,`

`I'll make a wise phrase,`

and so on. Note that when A is an anagram of B, B is an anagram of A.

In the above examples, di erences in letter cases are ignored, and word spaces and punctuation symbols are freely inserted and/or removed. These rules are common but not applied here; only exact matching of the letters is considered.

For two strings $s_1$ and $s_2$ of letters, if a substring $s’_1$ of $s_1$ is an anagram of a substring $s’_2$ of $s_2$, we call $s’_1$ a hidden anagram of the two strings, $s_1$ and $s_2$. Of course, $s’_2$ is also a hidden anagram of them.

Your task is to write a program that, for given two strings, computes the length of the longest hidden anagrams of them.

Suppose, for instance, that `anagram`

and `grandmother`

are given. Their substrings `nagr`

and `gran`

are hidden anagrams since by moving letters you can have one from the other. They are the longest since any substrings of `grandmother`

of lengths ve or more must contain `d`

or `o`

that `anagram`

does not. In this case, therefore, the length of the longest hidden anagrams is four. Note that a substring must be a sequence of letters occurring consecutively in the original string and so `nagrm`

and `granm`

are not hidden anagrams.

The input consists of a single test case in two lines: $s_1,s_2$.

$s_1$ and $s_2$ are strings consisting of lowercase letters (a through z) and their lengths are between $1$ and $4000$, inclusive.

Output the length of the longest hidden anagrams of $s_1$ and $s_2$. If there are no hidden anagrams, print a zero.

Input

anagram grandmother

Output

4

Input

williamshakespeare iamaweakishspeller

Output

18

Input

aaaaaaaabbbbbbbb xxxxxabababxxxxxabab

Output

6

Input

abababacdcdcd efefefghghghghgh

Output

0

**5 人解决**，10 人已尝试。

**8 份提交通过**，共有 180 份提交。

**8.2** EMB 奖励。