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C. K-Dominant Character

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou 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

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

Output

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

Examples

Input

abacaba

Output

2

Input

zzzzz

Output

1

Input

abcde

Output

3

Codeforces (c) Copyright 2010-2019 Mike Mirzayanov

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