Problem: You are given a string s consisting only of first 20 lowercase Latin letters ('a', 'b', ..., 't').

Recall that the substring s[l; r] of the string s is the string s_l s_{l + 1} ... s_r. For example, the substrings of "codeforces" are "code", "force", "f", "for", but not "coder" and "top".

You can perform the following operation no more than once: choose some substring s[l; r] and reverse it (i.e. the string s_l s_{l + 1} ... s_r becomes s_r s_{r - 1} ... s_l).

Your goal is to maximize the length of the maximum substring of s consisting of distinct (i.e. unique) characters.

The string consists of distinct characters if no character in this string appears more than once. For example, strings "abcde", "arctg" and "minecraft" consist of distinct characters but strings "codeforces", "abacaba" do not consist of distinct characters.

Input

The only line of the input contains one string s consisting of no more than 10^6 characters 'a', 'b', ..., 't' (first 20 lowercase Latin letters).

Output

Print one integer — the maximum possible length of the maximum substring of s consisting of distinct characters after reversing no more than one its substring.

Examples

Input


abacaba


Output


3


Input


abcdecdf


Output


6


Input


aabbcc


Output


3


Input


abcdeefc


Output


6

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

public class Main {

	static final int INF = (int) 1e9;

	public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		PrintWriter out = new PrintWriter(System.out);

		char arr[] = br.readLine().toCharArray();
		int dp[] = new int[1 << 20], n = arr.length;

		// for all substrings of length 20 or less construct the mask and save in it
		// number
		// set on bits
		for (int l = 0; l < n; l++) {
			int mask = 0;
			for (int r = l; r < n; r++) {
				int bit = arr[r] - 'a';
				if ((mask & (1 << bit)) > 0)
					break;

				mask |= 1 << bit;
				dp[mask] = Integer.bitCount(mask);
			}
		}

		// for all masks build up the max set on bits available in them
		for (int mask = 2; mask < (1 << 20); mask++) {
			for (int bit = 0; bit < 20; bit++) {
				if ((mask & (1 << bit)) > 0) {
					dp[mask] = Math.max(dp[mask], dp[mask ^ (1 << bit)]);
				}
			}
		}

		// concatenate mask and it's complement and maximize on it
		int ans = 0, comp = (1 << 20) - 1;
		for (int mask = 0; mask < (1 << 20); mask++) {
			ans = Math.max(ans, dp[mask] + dp[mask ^ comp]);
		}
		out.println(ans);
		out.close();
	}
}