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

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
import javax.xml.crypto.dsig.keyinfo.KeyValue;
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.util.*;
import java.io.BufferedReader;
import java.io.InputStreamReader;

public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskC solver = new TaskC();
        solver.Solve(in, out);
        out.close();
    }

    static class TaskC {

        public void Solve(InputReader in, PrintWriter out) {
            char[] s = in.Next().toCharArray();
            int res = Integer.MAX_VALUE;
            for (char c = 'a'; c <= 'z'; c++) {
                int cres = 1;
                int count = 0;
                for (int i = 0; i + cres - 1 < s.length; i++) {
                    count += s[i + cres - 1] == c ? 1 : 0;
                    while (i + cres < s.length && count == 0) {
                        cres++;
                        count += s[i + cres - 1] == c ? 1 : 0;
                    }
                    if (count == 0 && i - 1 >= 0) {
                        cres++;
                    }
                    count -= s[i] == c ? 1 : 0;
                }
                res = Math.min(res, cres);
            }
            out.println(res);
        }
    }


    public static int GetMax(int[] ar) {
        int max = Integer.MIN_VALUE;
        for (int a : ar) {
            max = Math.max(max, a);
        }
        return max;
    }

    public static int GetMin(int[] ar) {
        int min = Integer.MAX_VALUE;
        for (int a : ar) {
            min = Math.min(min, a);
        }
        return min;
    }

    public static long GetSum(int[] ar) {
        long s = 0;
        for (int a : ar) s += a;
        return s;
    }

    public static int[] GetCount(int[] ar) {
        return GetCount(ar, GetMax(ar));
    }

    public static int[] GetCount(int[] ar, int maxValue) {
        int[] dp = new int[maxValue + 1];
        for (int a : ar) {
            dp[a]++;
        }
        return dp;
    }

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String Next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine(), " \t\n\r\f,");
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int NextInt() {
            return Integer.parseInt(Next());
        }

        public long NextLong() {
            return Long.parseLong(Next());
        }

        public double NextDouble() {
            return Double.parseDouble(Next());
        }

        public int[] NextIntArray(int n) {
            return NextIntArray(n, 0);
        }

        public int[] NextIntArray(int n, int offset) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) {
                a[i] = NextInt() - offset;
            }
            return a;
        }

        public int[][] NextIntMatrix(int n, int m) {
            return NextIntMatrix(n, m, 0);
        }

        public int[][] NextIntMatrix(int n, int m, int offset) {
            int[][] a = new int[n][m];
            for (int i = 0; i < n; i++) {
                for (int j = 0; j < m; j++) {
                    a[i][j] = NextInt() - offset;
                }
            }
            return a;
        }
    }
}