Two people are playing a game with a string s, consisting of lowercase latin letters. 

On a player's turn, he should choose two consecutive equal letters in the string and delete them. 

For example, if the string is equal to "xaax" than there is only one possible turn: delete "aa", so the string will become "xx". A player not able to make a turn loses.

Your task is to determine which player will win if both play optimally.

Input

The only line contains the string s, consisting of lowercase latin letters (1 ≤ |s| ≤ 100 000), where |s| means the length of a string s.

Output

If the first player wins, print "Yes". If the second player wins, print "No".

Examples

Input


abacaba


Output


No


Input


iiq


Output


Yes


Input


abba


Output


No

Note

In the first example the first player is unable to make a turn, so he loses.

In the second example first player turns the string into "q", then second player is unable to move, so he loses.

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.*;
 
public class Main {
	public static void main(String[] args) {
		InputReader in = new InputReader();
		PrintWriter out = new PrintWriter(System.out);
		Thread th = new Thread(null, new Runnable(){public void run(){new Task1().solve(in, out);}},"Task1",1<<24);
		try{
			th.start();
			th.join();
		} catch(InterruptedException e){}
		out.close();
	}

	static class Task1{
		static final int MAX = (int)1e6+1;
		static final int MOD = 1000000007;
		static final boolean debug = false;

		
		public void solve(InputReader in, PrintWriter out){
			String s = in.next();
			Stack<Character> stack = new Stack<Character>();
			stack.push('X');
			boolean win = false;
			for(int i=0; i<s.length(); i++){
				if(s.charAt(i)==stack.peek()){
					stack.pop();
					win = !win;
				} else {
					stack.push(s.charAt(i));
				}
			}
			if(win){
				out.println("Yes");
			} else {
				out.println("No");
			}
		}

		public static int lowerBound(int[] array, int length, int value) {
	        int low = 0;
	        int high = length-1;
	        while (low < high) {
	            final int mid = low + (high-low)/2;
	            if (value <= array[mid]) {
	                high = mid;
	            } else {
	                low = mid + 1;
	            }
	        }
	        return low;
	    }
		
		long gcd(long a, long b){
			while(a>0){
				long rem = b%a;
				b = a;
				a = rem;
			}
			return b;
		}

		long expo(long a, long b, long MOD){
			long result = 1;
			while (b>0){
				if (b%2==1) result=(result*a)%MOD;
				b>>=1;
				a=(a*a)%MOD;
			}
			return result%MOD;
		}

		long inverseModullo(long numerator, long denominator, long MOD){
			return ((numerator )*(expo(denominator, MOD-2, MOD))) ;
		}
	}
 	
	static class InputReader{
		final InputStream stream;
		final byte[] buf = new byte[8192];
		int curChar, numChars;
		SpaceCharFilter filter;
		public InputReader(){
			this.stream = System.in;
		}
		public int read(){
			if(numChars == -1) throw new InputMismatchException();
			if(curChar >= numChars){
				curChar = 0;
				try{
					numChars = stream.read(buf);
				} catch(IOException e){
					throw new InputMismatchException();
				}
				if(numChars <= 0) return -1;
			}
			return buf[curChar++];
		}
		public int nextInt(){
			int c = read();
			while(isSpaceChar(c)) c = read();
			int sgn = 1;
			if(c == '-'){
				sgn = -1;
				c = read();
			}
			int res = 0;
			do{
				if(c<'0' || c>'9') throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while(!isSpaceChar(c));
			return res*sgn;
		}
		public long nextLong(){
			int c = read();
			while(isSpaceChar(c)) c = read();
			int sgn = 1;
			if(c == '-'){
				sgn = -1;
				c = read();
			}
			long res = 0;
			do{
				if(c<'0' || c>'9') throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			} while(!isSpaceChar(c));
			return res*sgn;
		}
		public String next(){
			int c = read();
			while(isSpaceChar(c)) c = read();
			StringBuilder res = new StringBuilder();
			do{
				res.appendCodePoint(c);
				c = read();
			}while(!isSpaceChar(c));
			return res.toString();
		}
		public boolean isSpaceChar(int c){
			if(filter != null) return filter.isSpaceChar(c);
			return c==' ' || c=='\n' || c=='\r' || c=='\t' || c==-1;
		}
		public interface SpaceCharFilter{
			public boolean isSpaceChar(int ch);
		}
	}
}