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.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.util.StringTokenizer; 
			  
			
			public class temp4 {
				static class FastReader 
			    { 
			        BufferedReader br; 
			        StringTokenizer st; 
			  
			        public FastReader() 
			        { 
			            br = new BufferedReader(new
			                     InputStreamReader(System.in)); 
			        } 
			  
			        String next() 
			        { 
			            while (st == null || !st.hasMoreElements()) 
			            { 
			                try
			                { 
			                    st = new StringTokenizer(br.readLine()); 
			                } 
			                catch (IOException  e) 
			                { 
			                    e.printStackTrace(); 
			                } 
			            } 
			            return st.nextToken(); 
			        } 
			  
			        int nextInt() 
			        { 
			            return Integer.parseInt(next()); 
			        } 
			  
			        long nextLong() 
			        { 
			            return Long.parseLong(next()); 
			        } 
			  
			        double nextDouble() 
			        { 
			            return Double.parseDouble(next()); 
			        } 
			  
			        String nextLine() 
			        { 
			            String str = ""; 
			            try
			            { 
			                str = br.readLine(); 
			            } 
			            catch (IOException e) 
			            { 
			                e.printStackTrace(); 
			            } 
			            return str; 
			        } 
			    } 
				
			/*	static class Reader 
			    { 
			        final private int BUFFER_SIZE = 1 << 16; 
			        private DataInputStream din; 
			        private byte[] buffer; 
			        private int bufferPointer, bytesRead; 
			  
			        public Reader() 
			        { 
			            din = new DataInputStream(System.in); 
			            buffer = new byte[BUFFER_SIZE]; 
			            bufferPointer = bytesRead = 0; 
			        } 
			  
			        public Reader(String file_name) throws IOException 
			        { 
			            din = new DataInputStream(new FileInputStream(file_name)); 
			            buffer = new byte[BUFFER_SIZE]; 
			            bufferPointer = bytesRead = 0; 
			        } 
			  
			        public String readLine() throws IOException 
			        { 
			            byte[] buf = new byte[64]; // line length 
			            int cnt = 0, c; 
			            while ((c = read()) != -1) 
			            { 
			                if (c == '\n') 
			                    break; 
			                buf[cnt++] = (byte) c; 
			            } 
			            return new String(buf, 0, cnt); 
			        } 
			  
			        public int nextInt() throws IOException 
			        { 
			            int ret = 0; 
			            byte c = read(); 
			            while (c <= ' ') 
			                c = read(); 
			            boolean neg = (c == '-'); 
			            if (neg) 
			                c = read(); 
			            do
			            { 
			                ret = ret * 10 + c - '0'; 
			            }  while ((c = read()) >= '0' && c <= '9'); 
			  
			            if (neg) 
			                return -ret; 
			            return ret; 
			        } 
			  
			        public long nextLong() throws IOException 
			        { 
			            long ret = 0; 
			            byte c = read(); 
			            while (c <= ' ') 
			                c = read(); 
			            boolean neg = (c == '-'); 
			            if (neg) 
			                c = read(); 
			            do { 
			                ret = ret * 10 + c - '0'; 
			            } 
			            while ((c = read()) >= '0' && c <= '9'); 
			            if (neg) 
			                return -ret; 
			            return ret; 
			        } 
			  
			        public double nextDouble() throws IOException 
			        { 
			            double ret = 0, div = 1; 
			            byte c = read(); 
			            while (c <= ' ') 
			                c = read(); 
			            boolean neg = (c == '-'); 
			            if (neg) 
			                c = read(); 
			  
			            do { 
			                ret = ret * 10 + c - '0'; 
			            } 
			            while ((c = read()) >= '0' && c <= '9'); 
			  
			            if (c == '.') 
			            { 
			                while ((c = read()) >= '0' && c <= '9') 
			                { 
			                    ret += (c - '0') / (div *= 10); 
			                } 
			            } 
			  
			            if (neg) 
			                return -ret; 
			            return ret; 
			        } 
			  
			        private void fillBuffer() throws IOException 
			        { 
			            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); 
			            if (bytesRead == -1) 
			                buffer[0] = -1; 
			        } 
			  
			        private byte read() throws IOException 
			        { 
			            if (bufferPointer == bytesRead) 
			                fillBuffer(); 
			            return buffer[bufferPointer++]; 
			        } 
			  
			        public void close() throws IOException 
			        { 
			            if (din == null) 
			                return; 
			            din.close(); 
			        } 
			    } */
				static class Print
			{
				    private final BufferedWriter bw;
				    public Print()
				    {
				        bw=new BufferedWriter(new OutputStreamWriter(System.out));
				    }
			    public void print(String str)throws IOException
				    {
				        bw.append(str);
				    }
				    public void println(String str)throws IOException
				    {
				        print(str);
				        bw.append("\n");
				    }
				    public void close()throws IOException
				    {
				        bw.close();
				    }} 
					
					
				
					public static void main(String[] args) throws IOException {			
						FastReader scn=new FastReader();
						Print pr=new Print();
						String s=scn.next();
						int n=s.length(),idx=0,ans=0;
						char[] ch=new char[n+1];
						for(int i=0;i<n;i++ ){
							if(idx==0)ch[idx++]=s.charAt(i);
							else{
								if(ch[idx-1]==s.charAt(i)){
									idx--;ans++;
								}
								else ch[idx++]=s.charAt(i);
							}
						}
						pr.println((ans&1)>0?"Yes":"No");
						
						pr.close();
					}
					
			
					public static class node{
						int a;
						int b;
						public node(int a,int b){
							this.a=a;this.b=b;
						}
					}
					
			}
				