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.util.*;
import java.io.*;

public class Main {
	static long mod = 1000000007;
	static int INF = 1000000000;
 	public static void main(String[] args){
		FastScanner scanner = new FastScanner();
		String s = scanner.next();
		int n = s.length();
		int[] dp = new int[1<<20]; //dp[i]:=含まれているビットの数
		//dp[10110] = 3 集合{b,c,e}
		for(int i = 0; i < n; i++){
			boolean[] used = new boolean[20];
			int mask = 0;
			for(int j = 0; i+j < n; j++){
				if(used[s.charAt(i+j)-'a']){
					break;
				}
				used[s.charAt(i+j)-'a'] = true;
				mask |= 1 << (s.charAt(i+j)-'a');
				dp[mask] = Integer.bitCount(mask);
			}
		}
		for(int mask = 0; mask < (1<<20); mask++){
			for(int pos = 0; pos < 20; pos++){
				if(((mask>>pos) & 1) == 1){
					dp[mask] = Math.max(dp[mask],dp[mask^(1<<pos)]);
				}
			}
		}
		int ans = 0;
		for(int mask = 0; mask < (1<<20); mask++){
			if(dp[mask] == Integer.bitCount(mask)){
				int comp = ~mask & ((1<<20)-1);
				ans = Math.max(ans,dp[mask]+dp[comp]);
			}
		}
		System.out.println(ans);
	}

	static boolean compare(String tar, String src) {
		if (src == null) return true;
		if (src.length() == tar.length()) {
			int len = tar.length();
			for (int i = 0; i < len; i++) {
				if (src.charAt(i) > tar.charAt(i)) {
					return false;
				} else if (src.charAt(i) < tar.charAt(i)) {
					return true;
				}
			}
			return tar.compareTo(src) > 0 ? true : false;
		} else if (src.length() < tar.length()) {
			return true;
		} else if (src.length() > tar.length()) {
			return false;
		}
		return false;
	}
	static class BIT{
			int n;
			int[] bit;
			public BIT(int n){
				this.n = n;
				bit = new int[n+1];
			}
			void add(int idx, int val){
				for(int i = idx+1; i <= n; i += i&(-i)) bit[i-1] += val;
			}
			int sum(int idx){
				int res = 0;
				for(int i = idx+1; i > 0; i -= i&(-i)) res += bit[i-1];
				return res;
			}
			int sum(int begin, int end){
				if(begin == 0) return sum(end);
				return sum(end)-sum(begin-1);
			}
		}
		public static long pow(long x, long n){
	    long ans = 1;
	    while(n > 0){
	      if((n & 1) == 1){
	        ans = ans * x;
	        ans %= mod;
	      }
	      x = x * x % mod;
	      n >>= 1;
	    }
	    return ans;
	  }
	static class Pair implements Comparable<Pair>{
    int first, second;
    Pair(int a, int b){
        first = a;
        second = b;
    }
    @Override
    public boolean equals(Object o){
        if (this == o) return true;
        if (!(o instanceof Pair)) return false;
        Pair p = (Pair) o;
        return first == p.first && second == p.second;
    }
    @Override
    public int compareTo(Pair p){
        return first == p.first ? second - p.second : first - p.first; //firstで昇順にソート
        //return (first == p.first ? second - p.second : first - p.first) * -1; //firstで降順にソート
        //return second == p.second ? first - p.first : second - p.second;//secondで昇順にソート
        //return (second == p.second ? first - p.first : second - p.second)*-1;//secondで降順にソート
		    //return first * 1.0 / second > p.first * 1.0 / p.second ? 1 : -1; // first/secondの昇順にソート
		    //return first * 1.0 / second < p.first * 1.0 / p.second ? 1 : -1; // first/secondの降順にソート
				//return second * 1.0 / first > p.second * 1.0 / p.first ? 1 : -1; // second/firstの昇順にソート
		    //return second * 1.0 / first < p.second * 1.0 / p.first ? 1 : -1; // second/firstの降順にソート
				//return Math.atan2(second, first) > Math.atan2(p.second, p.first) ? 1 : -1; // second/firstの昇順にソート
				//return first + second > p.first + p.second ? 1 : -1; //first+secondの昇順にソート
				//return first + second < p.first + p.second ? 1 : -1; //first+secondの降順にソート
				//return first - second < p.first - p.second ? 1 : -1; //first-secondの降順にソート
		}
  }

	private static class FastScanner {
		private final InputStream in = System.in;
		private final byte[] buffer = new byte[1024];
		private int ptr = 0;
		private int buflen = 0;
		private boolean hasNextByte() {
				if (ptr < buflen) {
						return true;
				}else{
						ptr = 0;
						try {
								buflen = in.read(buffer);
						} catch (IOException e) {
								e.printStackTrace();
						}
						if (buflen <= 0) {
								return false;
						}
				}
				return true;
		}
		private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
		private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
		public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
		public String next() {
				if (!hasNext()) throw new NoSuchElementException();
				StringBuilder sb = new StringBuilder();
				int b = readByte();
				while(isPrintableChar(b)) {
						sb.appendCodePoint(b);
						b = readByte();
				}
				return sb.toString();
		}
		public long nextLong() {
				if (!hasNext()) throw new NoSuchElementException();
				long n = 0;
				boolean minus = false;
				int b = readByte();
				if (b == '-') {
						minus = true;
						b = readByte();
				}
				if (b < '0' || '9' < b) {
						throw new NumberFormatException();
				}
				while(true){
						if ('0' <= b && b <= '9') {
								n *= 10;
								n += b - '0';
						}else if(b == -1 || !isPrintableChar(b)){
								return minus ? -n : n;
						}else{
								throw new NumberFormatException();
						}
						b = readByte();
				}
		}
		public int nextInt() {
				long nl = nextLong();
				if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
				return (int) nl;
		}
		public double nextDouble() { return Double.parseDouble(next());}
	}
}