Problem C

Statement
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Description:
You are given a string s consisting of lowercase Latin letters. Character c is called k-dominant iff each substring of s with length at least k contains this character c.

You have to find minimum k such that there exists at least one k-dominant character.

Input Format:
The first line contains string s consisting of lowercase Latin letters (1 ≤ |s| ≤ 100000).

Output Format:
Print one number — the minimum value of k such that there exists at least one k-dominant character.

Note:
None