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 OCaml (4.02.3) (judge verdict: Accepted)

let () =
  let s = read_line () in
  let rec shrink a ss c =
    let sl = String.length ss in
    if  sl = 1 || (ss = String.make sl c) then a
    else
      let ns = String.init (sl - 1) (fun i -> if ss.[i] = c || ss.[i+1] = c then c else ss.[i]) in
      shrink (a+1) ns c in
  let tbl = ['a';'b';'c';'d';'e';'f';'g';'h';'i';'j';'k';'l';'m';'n';'o';'p';'q';'r';'s';'t';'u';'v';'w';'x';'y';'z'] in
  List.map (shrink 0 s) tbl |> List.sort compare |> List.hd |> string_of_int |> print_endline