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.*;
import java.util.*;
import java.lang.*;

public class codeforces {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        if (System.getProperty("ONLINE_JUDGE") == null) {
            long startTime = System.currentTimeMillis();
            try {
                sc = new InputReader(new FileInputStream("input.txt"));
                out = new PrintWriter(new FileOutputStream("output.txt"));
                pr = new PrintWriter(new FileOutputStream("error.txt"));
            } catch (Exception ignored) {
            }
            int t = 1;
            int tt = t;
            // t = sc.nextInt();
            while (t-- > 0) {
                solve();
            }
            long endTime = System.currentTimeMillis();
            System.out.println("Time: " + (endTime - startTime) / tt + " ms");
            out.flush();
            pr.flush();

        } else {
            sc = new InputReader(inputStream);
            out = new PrintWriter(outputStream);
            pr = new PrintWriter(outputStream);
            int t = 1;
            // t = sc.nextInt();
            while (t-- > 0) {
                solve();
            }
            out.flush();
        }
    }

    public static void solve() {
        char []s=sc.next().toCharArray();
        Stack<Character>st=new Stack<>();
        boolean ans=false;
        for(char c:s){
            if(st.empty())st.add(c);
            else if(st.peek()==c){
                ans=!ans;
                st.pop();
            }else st.add(c);
        }
        debug(st.size());
        out.println(ans?"Yes":"No");
        
    }

    /*******************************************************************/
    /*
     * Iterator value = set.iterator(); Displaying the values after iterating
     * through the iterator System.out.println("The iterator values are: "); while
     * (value.hasNext()) { System.out.println(value.next()); }
     */

    // Map Iterator:
    // for (Map.Entry<Integer, Integer> entry : map.entrySet()){}

    // pair sort
    // Arrays.sort(lap, new Comparator<Pair>() {
    // @Override
    // public int compare(Pair p1, Pair p2) {
    // return Integer.compare(p1.first, p2.first);

    // }
    // });

    // Globals

    public static int inf = Integer.MAX_VALUE;
    public static int minf = Integer.MIN_VALUE;
    public static int mod = 1000000007;
    public static int ml = (int) 1e9;
    public static InputReader sc;
    public static PrintWriter out;
    public static PrintWriter pr;

    // Pair

    static class Pair {
        int first, second;

        Pair(int x, int y) {
            this.first = x;
            this.second = y;
        }
    }

    // FastReader Class

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public long nextLong() {
            return Long.parseLong(next());
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }
    }

    // Node class

    static class Node {
        Node next;
        int data;

        Node(int x) {
            next = null;
            this.data = x;
        }
    }

    // Req Functions
    public static int gcd(int a, int b) {
        if (a == 0)
            return b;
        return gcd(b % a, a);
    }

    public static int lcm(int a, int b) {
        return (a / gcd(a, b)) * b;
    }

    public static long gcd(long a, long b) {
        if (a == 0)
            return b;
        return gcd(b % a, a);
    }

    public static long lcm(long a, long b) {
        return (a / gcd(a, b)) * b;
    }

    public static long nCr(int n, int r) {
        return fact(n) / (fact(r) * fact(n - r));
    }

    public static long fact(int n) {
        int res = 1;
        for (int i = 2; i <= n; i++)
            res = res * i;
        return res;
    }

    public static long nCr(long n, long r) {
        return fact(n) / (fact(r) * fact(n - r));
    }

    public static long fact(long n) {
        int res = 1;
        for (int i = 2; i <= n; i++)
            res = res * i;
        return res;
    }

    public static String reverseString(String input) {
        StringBuilder str = new StringBuilder("");

        for (int i = input.length() - 1; i >= 0; i--) {
            str.append(input.charAt(i));
        }
        return str.toString();
    }

    public static int maxOf3(int x, int y, int z) {
        return Math.max(x, Math.max(y, z));
    }

    public static int minof3(int x, int y, int z) {
        return Math.min(x, Math.min(y, z));
    }

    public static long maxOf3(long x, long y, long z) {
        return Math.max(x, Math.max(y, z));
    }

    public static long minof3(long x, long y, long z) {
        return Math.min(x, Math.min(y, z));
    }

    public static void arrInput(int[] arr, int n) {
        for (int i = 0; i < n; i++)
            arr[i] = sc.nextInt();
    }

    public static void arrInput(long[] arr, int n) {
        for (int i = 0; i < n; i++)
            arr[i] = sc.nextLong();
    }

    public static void arrInput(Pair[] pair, int n) {
        for (int i = 0; i < n; i++)
            pair[i] = new Pair(sc.nextInt(), sc.nextInt());
    }

    public static int lowerBound(int[] arr, int x) {
        int l = -1, r = arr.length;
        while (l + 1 < r) {
            int m = (l + r) >>> 1;
            if (arr[m] >= x)
                r = m;
            else
                l = m;
        }
        return r;
    }

    public static int upperBound(int[] arr, int x) {
        int l = -1, r = arr.length;
        while (l + 1 < r) {
            int m = (l + r) >>> 1;
            if (arr[m] <= x)
                l = m;
            else
                r = m;
        }
        return l + 1;
    }

    public static void fill(char[][] arr, char c) {
        int n = arr.length, m = arr[0].length;
        for (int i = 0; i < n; i++)
            for (int j = 0; j < m; j++)
                arr[i][j] = c;
    }

    public static void fill(int[][] arr, int c) {
        int n = arr.length, m = arr[0].length;
        for (int i = 0; i < n; i++)
            for (int j = 0; j < m; j++)
                arr[i][j] = c;
    }

    public static void fill(long[][] arr, long c) {
        int n = arr.length, m = arr[0].length;
        for (int i = 0; i < n; i++)
            for (int j = 0; j < m; j++)
                arr[i][j] = c;
    }

    public static void fillPrime(ArrayList<Integer> chprime, int high) {
        boolean[] ck = new boolean[high + 1];
        Arrays.fill(ck, true);
        ck[1] = false;
        ck[0] = false;

        for (int i = 2; (i * i) <= high; i++) {
            if (ck[i] == true) {
                for (int j = i * i; j <= high; j = j + i) {
                    ck[j] = false;
                }
            }
        }
        for (int i = 2; i * i <= high; i++) {
            if (ck[i] == true) {
                chprime.add(i);
            }
        }
    }

    public static void segmentedSieve(int low, int high) {
        ArrayList<Integer> chprime = new ArrayList<Integer>();
        fillPrime(chprime, high);

        boolean[] prime = new boolean[high - low + 1];
        Arrays.fill(prime, true);
        for (int i : chprime) {
            int lower = (low / i);
            if (lower <= 1) {
                lower = i + i;
            } else if (low % i != 0) {
                lower = (lower * i) + i;
            } else {
                lower = (lower * i);
            }
            for (int j = lower; j <= high; j = j + i) {
                prime[j - low] = false;
            }
        }
        for (int i = low; i <= high; i++) {
            if (prime[i - low] == true) {
                primeNo.add(i);
            }
        }
    }

    public static ArrayList<Integer> primeNo = new ArrayList<>();

    public static void merge(int arr[], int l, int m, int r) {
        int n1 = m - l + 1;
        int n2 = r - m;
        int L[] = new int[n1];
        int R[] = new int[n2];
        for (int i = 0; i < n1; ++i)
            L[i] = arr[l + i];
        for (int j = 0; j < n2; ++j)
            R[j] = arr[m + 1 + j];
        int i = 0, j = 0;
        int k = l;
        while (i < n1 && j < n2) {
            if (L[i] >= R[j]) {
                arr[k] = L[i];
                i++;
            } else {
                arr[k] = R[j];
                j++;
            }
            k++;
        }
        while (i < n1) {
            arr[k] = L[i];
            i++;
            k++;
        }
        while (j < n2) {
            arr[k] = R[j];
            j++;
            k++;
        }
    }

    public static void reversesort(int arr[], int l, int r) {
        if (l < r) {
            int m = l + (r - l) / 2;
            reversesort(arr, l, m);
            reversesort(arr, m + 1, r);
            merge(arr, l, m, r);
        }
    }

    public static void merge(long arr[], int l, int m, int r) {
        int n1 = m - l + 1;
        int n2 = r - m;
        long L[] = new long[n1];
        long R[] = new long[n2];
        for (int i = 0; i < n1; ++i)
            L[i] = arr[l + i];
        for (int j = 0; j < n2; ++j)
            R[j] = arr[m + 1 + j];
        int i = 0, j = 0;
        int k = l;
        while (i < n1 && j < n2) {
            if (L[i] >= R[j]) {
                arr[k] = L[i];
                i++;
            } else {
                arr[k] = R[j];
                j++;
            }
            k++;
        }
        while (i < n1) {
            arr[k] = L[i];
            i++;
            k++;
        }
        while (j < n2) {
            arr[k] = R[j];
            j++;
            k++;
        }
    }

    public static void reversesort(long arr[], int l, int r) {
        if (l < r) {
            int m = l + (r - l) / 2;
            reversesort(arr, l, m);
            reversesort(arr, m + 1, r);
            merge(arr, l, m, r);
        }
    }

    public static void sort(int[] arr) {
        Arrays.sort(arr);
    }

    public static void sort(long[] arr) {
        Arrays.sort(arr);
    }

    public static void sort(ArrayList<Integer> list) {
        Collections.sort(list);
    }

    public static long sumint(int n) {
        long ans = 0;
        char[] s = String.valueOf(n).toCharArray();
        for (int i = 0; i < s.length; ++i)
            ans += s[i] - '0';
        return ans;
    }

    public static long sumint(long n) {
        long ans = 0;
        char[] s = String.valueOf(n).toCharArray();
        for (int i = 0; i < s.length; ++i)
            ans += s[i] - '0';
        return ans;
    }

    // debug

    public static void debug() {
        if (sysFlag)
            pr.println("");
    }

    public static boolean sysFlag = System.getProperty("ONLINE_JUDGE") == null;

    public static void debug(int[][] dp) {
        if (sysFlag) {
            for (int i = 0; i < dp.length; ++i) {
                pr.print(i + "--> ");
                for (int j = 0; j < dp[0].length; ++j) {
                    pr.print(dp[i][j] + " ");
                }
                pr.println("");
            }
        }
    }

    public static void debug(char[][] arr) {
        if (sysFlag) {
            for (int i = 0; i < arr.length; ++i) {
                for (int j = 0; j < arr[0].length; ++j) {
                    pr.print(arr[i][j]);
                }
                pr.println("");
            }
        }
    }

    public static void debug(long[][] dp) {
        if (sysFlag) {
            for (int i = 0; i < dp.length; ++i) {
                pr.print(i + "--> ");
                for (int j = 0; j < dp[0].length; ++j) {
                    pr.print(dp[i][j] + " ");
                }
                pr.println("");
            }
        }
    }

    public static void debug(int x) {
        if (sysFlag)
            pr.println("Int-Ele: " + x);
    }

    public static void debug(String x) {
        if (sysFlag)
            pr.println("String: " + x);
    }

    public static void debug(char x) {
        if (sysFlag)
            pr.println("Char: " + x);
    }

    public static void debug(long x) {
        if (sysFlag)
            pr.println("Long-Ele: " + x);
    }

    public static void debug(int[] arr) {
        if (sysFlag) {
            for (int i = 0; i < arr.length; ++i) {
                pr.println(i + " -> " + arr[i]);
            }
        }
    }

    public static void debug(char[] arr) {
        if (sysFlag) {
            for (int i = 0; i < arr.length; ++i) {
                pr.println(i + " -> " + arr[i]);
            }
        }
    }

    public static void debug(long[] arr) {
        if (sysFlag) {
            for (int i = 0; i < arr.length; ++i) {
                pr.println(i + " -> " + arr[i]);
            }
        }
    }

    public static void debug(ArrayList<Integer> list) {
        if (sysFlag) {
            for (int i = 0; i < list.size(); ++i) {
                pr.println(i + " -> " + list.get(i));
            }
        }
    }

    public static void Ldebug(ArrayList<Long> list) {
        if (sysFlag) {
            for (int i = 0; i < list.size(); ++i) {
                pr.println(i + " -> " + list.get(i));
            }
        }
    }

    public static void debugmapII(HashMap<Integer, Integer> map) {
        if (sysFlag) {
            for (Map.Entry<Integer, Integer> entry : map.entrySet())
                pr.println("Key => " + entry.getKey() + ", Value => " + entry.getValue());
        }
    }

    public static void debugmapLI(HashMap<Long, Integer> map) {
        if (sysFlag) {
            for (Map.Entry<Long, Integer> entry : map.entrySet())
                pr.println("Key => " + entry.getKey() + ", Value => " + entry.getValue());
        }
    }

    public static void debugmapLL(HashMap<Long, Long> map) {
        if (sysFlag) {
            for (Map.Entry<Long, Long> entry : map.entrySet())
                pr.println("Key => " + entry.getKey() + ", Value => " + entry.getValue());
        }
    }

    public static void debugmapIL(HashMap<Integer, Long> map) {
        if (sysFlag) {
            for (Map.Entry<Integer, Long> entry : map.entrySet())
                pr.println("Key => " + entry.getKey() + ", Value => " + entry.getValue());
        }
    }

    public static void debugmapSL(HashMap<String, Long> map) {
        if (sysFlag) {
            for (Map.Entry<String, Long> entry : map.entrySet())
                pr.println("Key => " + entry.getKey() + ", Value => " + entry.getValue());
        }
    }

    public static void debugmapCL(HashMap<Character, Long> map) {
        if (sysFlag) {
            for (Map.Entry<Character, Long> entry : map.entrySet())
                pr.println("Key => " + entry.getKey() + ", Value => " + entry.getValue());
        }
    }

    public static void debugmapSI(HashMap<String, Integer> map) {
        if (sysFlag) {
            for (Map.Entry<String, Integer> entry : map.entrySet())
                pr.println("Key => " + entry.getKey() + ", Value => " + entry.getValue());
        }
    }

    public static void debugmapCI(HashMap<Character, Integer> map) {
        if (sysFlag) {
            for (Map.Entry<Character, Integer> entry : map.entrySet())
                pr.println("Key => " + entry.getKey() + ", Value => " + entry.getValue());
        }
    }

    public static void debug(Set<Integer> set) {
        if (sysFlag) {
            Iterator value = set.iterator();
            int i = 1;
            while (value.hasNext()) {
                pr.println((i++) + "-> " + value.next());
            }
        }
    }

    public static void debug(Pair[] pair, int n) {
        if (sysFlag) {
            for (int i = 0; i < n; i++) {
                pr.println("first:" + pair[i].first + " second:" + pair[i].second);
            }
        }
    }
}
