Problem: Alice has a string s. She really likes the letter "a". She calls a string good if strictly more than half of the characters in that string are "a"s. For example "aaabb", "axaa" are good strings, and "baca", "awwwa", "" (empty string) are not.

Alice can erase some characters from her string s. She would like to know what is the longest string remaining after erasing some characters (possibly zero) to get a good string. It is guaranteed that the string has at least one "a" in it, so the answer always exists.

Input

The first line contains a string s (1 ≤ |s| ≤ 50) consisting of lowercase English letters. It is guaranteed that there is at least one "a" in s.

Output

Print a single integer, the length of the longest good string that Alice can get after erasing some characters from s.

Examples

Input


xaxxxxa


Output


3


Input


aaabaa


Output


6

Note

In the first example, it's enough to erase any four of the "x"s. The answer is 3 since that is the maximum number of characters that can remain.

In the second example, we don't need to erase any characters.

Solution (in JAVA):

Solution:
import java.util.*;
		import java.io.*;
		import java.math.BigInteger;
		import java.text.*;
		
		
		
		
		
		
		public class Solution{
		    void pre() throws Exception{}
		    void solve(int TC) throws Exception{
		    		String s=n();
		    		int count=0;
		    		for(int i=0;i<s.length();i++) {
		    			if(s.charAt(i)=='a') {
		    				count++;
		    			}
		    		}
		    		pn(Math.min(s.length(),count*2-1));
	
		    	}
		    		
		    
		    
		    
		    
		    
		    void hold(boolean b)throws Exception{if(!b)throw new Exception("Hold right there, Sparky!");}
		    long mod = (long)1e9+7, IINF = (long)1e18;
		    final int INF = (int)1e9, MX = (int)1e5+7;
		    DecimalFormat df = new DecimalFormat("0.00000000000");
		    double PI = 3.1415926535897932384626433832792884197169399375105820974944, eps = 1e-8;
		    static boolean multipleTC = false, memory = false;
		    FastReader in;PrintWriter out;
		    void run() throws Exception{
		        in = new FastReader();
		        out = new PrintWriter(System.out);
		        int T = (multipleTC)?ni():1;
		        pre();for(int t = 1; t<= T; t++)solve(t);
		        out.flush();
		        out.close();
		    }
		    public static void main(String[] args) throws Exception{
		        if(memory)new Thread(null, new Runnable() {public void run(){try{new Solution().run();}catch(Exception e){e.printStackTrace();}}}, "1", 1 << 28).start();
		        else new Solution().run();
		    }
		    long gcd(long a, long b){return (b==0)?a:gcd(b,a%b);}
		    int gcd(int a, int b){return (b==0)?a:gcd(b,a%b);}
		    int bit(long n){return (n==0)?0:(1+bit(n&(n-1)));}
		    void p(Object o){out.print(o);}
		    void pn(Object o){out.println(o);}
		    void pni(Object o){out.println(o);out.flush();}
		    String n()throws Exception{return in.next();}
		    String nln()throws Exception{return in.nextLine();}
		    int ni()throws Exception{return Integer.parseInt(in.next());}
		    long nl()throws Exception{return Long.parseLong(in.next());}
		    double nd()throws Exception{return Double.parseDouble(in.next());}
		
		    class FastReader{
		        BufferedReader br;
		        StringTokenizer st;
		        public FastReader(){
		            br = new BufferedReader(new InputStreamReader(System.in));
		        }
		
		        public FastReader(String s) throws Exception{
		            br = new BufferedReader(new FileReader(s));
		        }
		
		        String next() throws Exception{
		            while (st == null || !st.hasMoreElements()){
		                try{
		                    st = new StringTokenizer(br.readLine());
		                }catch (IOException  e){
		                    throw new Exception(e.toString());
		                }
		            }
		            return st.nextToken();
		        }
		
		        String nextLine() throws Exception{
		            String str = "";
		            try{   
		                str = br.readLine();
		            }catch (IOException e){
		                throw new Exception(e.toString());
		            }  
		            return str;
		        }
		    }
		}