Problem: Mike and Ann are sitting in the classroom. The lesson is boring, so they decided to play an interesting game. Fortunately, all they need to play this game is a string s and a number k (0 ≤ k < |s|).

At the beginning of the game, players are given a substring of s with left border l and right border r, both equal to k (i.e. initially l=r=k). Then players start to make moves one by one, according to the following rules:

  * A player chooses l^{\prime} and r^{\prime} so that l^{\prime} ≤ l, r^{\prime} ≥ r and s[l^{\prime}, r^{\prime}] is lexicographically less than s[l, r]. Then the player changes l and r in this way: l := l^{\prime}, r := r^{\prime}.
  * Ann moves first.
  * The player, that can't make a move loses.



Recall that a substring s[l, r] (l ≤ r) of a string s is a continuous segment of letters from s that starts at position l and ends at position r. For example, "ehn" is a substring (s[3, 5]) of "aaaehnsvz" and "ahz" is not.

Mike and Ann were playing so enthusiastically that they did not notice the teacher approached them. Surprisingly, the teacher didn't scold them, instead of that he said, that he can figure out the winner of the game before it starts, even if he knows only s and k.

Unfortunately, Mike and Ann are not so keen in the game theory, so they ask you to write a program, that takes s and determines the winner for all possible k.

Input

The first line of the input contains a single string s (1 ≤ |s| ≤ 5 ⋅ 10^5) consisting of lowercase English letters.

Output

Print |s| lines.

In the line i write the name of the winner (print Mike or Ann) in the game with string s and k = i, if both play optimally

Examples

Input


abba


Output


Mike
Ann
Ann
Mike


Input


cba


Output


Mike
Mike
Mike

Solution (in JAVA):

Solution:
// Working program with FastReader 
import java.io.*;
import java.util.*;
public class g
{ 
    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; 
        } 
    } 
    public static int findIndex(long arr[], long t) 
    { 

        // if array is Null 
        if (arr == null) { 
            return -1; 
        } 

        // find length of array 
        int len = arr.length; 
        int i = 0; 

        // traverse in the array 
        while (i < len) { 

            // if the i-th element is t 
            // then return the index 
            if (arr[i] == t) { 
                return i; 
            } 
            else { 
                i = i + 1; 
            } 
        } 
        return -1; 
    }

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

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

    static int [] rev(int i,int p,int a[])
    {

        for(int j=i;j<=p;j++)
        {
            int temp=a[j];
            a[j]=a[p];
            a[p]=temp;
            p--;
        }
        return a;
    }

    static void sort(int[] a) {
        ArrayList<Integer> l = new ArrayList<>();
        for (int i : a)
            l.add(i);
        Collections.sort(l);
        for (int i = 0; i < a.length; i++)
            a[i] = l.get(i);
    }

    static void sort(long[] a) {
        ArrayList<Long> l = new ArrayList<>();
        for (long i : a)
            l.add(i);
        Collections.sort(l);
        for (int i = 0; i < a.length; i++)
            a[i] = l.get(i);
    }

    static void sortRange(int[] a,int x,int y) {
        ArrayList<Integer> l = new ArrayList<>();
        for (int i =x;i<y;i++)
            l.add(a[i]);
        Collections.sort(l);
        int j=0;
        for (int i = x; i <y; i++)
            a[i] = l.get(j++);
    }

    static double pow(double p,double tt)
    {
        double ii,q,r;
        q=1;
        r=p;
        while(tt>1)
        {
            for(ii=1;2*ii<=tt;ii*=2)
                p*=p;
            tt-=ii;
            q*=p;
            p=r;
        }
        if(tt==1)
            q*=r;
        return q;
    }

    static int LowerBound(int a[], int x) { // x is the target value or key
        int l=-1,r=a.length;
        while(l+1<r) {
            int m=(l+r)>>>1;
            if(a[m]>=x) r=m;
            else l=m;
        }
        return r;
    }

    static int UpperBound(int a[], int x) {// x is the key or target value
        int l=-1,r=a.length;
        while(l+1<r) {
            int m=(l+r)>>>1;
            if(a[m]<=x) l=m;
            else r=m;
        }
        return l+1;
    }

    public static void main(String[] args) 
    {//try
        //{
        FastReader d=new FastReader();
        PrintWriter pr = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
        int t,i,j,k,n,l;
        int mod = (int) 1e9 + 7;

        int Inf=Integer.MAX_VALUE;
        int negInf=Integer.MIN_VALUE;
        //t=d.nextInt();
        t=1;
        String s;
        //char ch,ch1,ch2,ch3;
        long ans;
        long c,z;
        while(t-->0)
        {

            int s1,s2;
            z=c=0l;
            int z1=0;
            ans=0l;
            s=d.nextLine();
            l=s.length();
            char ch[]=s.toCharArray();
            Set<Character>ss=new HashSet<>();
            char jj;
            for(i=0;i<l;i++)
            { 
                c=0;
                z=0;
                for( jj='a';jj<ch[i];jj++)
                {
                    c=1;
                    if(ss.contains(jj))
                    {
                        z=1;
                        break;
                    }
                    
                }
                if(z==0 || c!=1)
                pr.println("Mike");
                else
                pr.println("Ann");
                ss.add(ch[i]);
            }
        }
        /*

        }catch(Exception e) {
        System.out.println(0);
        }*/
         pr.flush();
    } 
}