Problem:
Score : 300 points

Problem Statement

Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:

For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.

There is a string s consisting of lowercase English letters.
Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same.
Find the minimum necessary number of operations.

Constraints

1 ≤ |s| ≤ 100

s consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

s

Output

Print the minimum necessary number of operations to achieve the objective.

Sample Input 1

serval

Sample Output 1

3

One solution is: serval → srvvl → svvv → vvv.

Sample Input 2

jackal

Sample Output 2

2

One solution is: jackal → aacaa → aaaa.

Sample Input 3

zzz

Sample Output 3

0

All the characters in s are the same from the beginning.

Sample Input 4

whbrjpjyhsrywlqjxdbrbaomnw

Sample Output 4

8

In 8 operations, he can change s to rrrrrrrrrrrrrrrrrr.

Solution in Ruby (2.3.3) (judge verdict: Accepted)

s = gets.chomp

if s.chars.all? {|c| c == s[0] }
  puts 0
  exit
end

array = []
('a'..'z').to_a.each do |target|
  dupped = s.dup
  1.upto(s.length) do |i|
    0.upto(s.length - i - 1) do |j|
      next if dupped[j] == target
      if dupped[j + 1] == target
        dupped[j] = dupped[j + 1]
      end
    end

    dupped = dupped[0..-2]

    # p dupped

    if dupped.chars.all? {|c| c == target }
      array << i
      break
    end
  end
end

p array.min