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:
import java.util.*;
import java.io.*;
import java.math.*;
public class Solution{
	static int mod = (int)1e9+7;
	public static PrintWriter out = new PrintWriter (new BufferedOutputStream(System.out));
	public static void main(String sp[])throws IOException{
		FastReader sc = new FastReader();
		String st = sc.next();
		long gh = st.length();
		StringBuilder sb = new StringBuilder();
		sb.append("Mike\n");
		
		long ans = st.charAt(0);
		for(int i=1;i<gh;i++){
			long temp = st.charAt(i);
			if(ans<temp)
				sb.append("Ann\n");
			else sb.append("Mike\n");
			ans = Math.min(temp,ans);
		}
		System.out.print(sb.toString());
		
		
		
		
		
		
		
	}
	static trie head = new trie();
	public static void add(String st){
		head.ch=' ';
		trie temp=head;
		trie prev=head;
		for(int i=0;i<st.length();i++){
			char val = st.charAt(i);
			if(i==st.length()-1){
			}
			if(!temp.hm.containsKey(val)){
				trie tg = new trie();
				
				temp.ch=val;
				temp.hm.put(val,tg);
				temp.hm.get(val).count+=1;
				prev=temp;
				temp=tg;
			}else{
				prev=temp;
				temp.hm.get(val).count+=1;
				temp = temp.hm.get(val);
			}
			
		}
	}
	
	public static int find(String st){
		int count=Integer.MAX_VALUE;
		trie trv = head;
		boolean b=true;
		for(int i=0;i<st.length();i++){
			if(trv.hm.containsKey(st.charAt(i))){
				count=Math.min(count,trv.hm.get(st.charAt(i)).count);
				trv=trv.hm.get(st.charAt(i));
			}else{
				count=0;
				break;
			}
		}
		return count;
	}
	
	public static class trie{
		char ch;
		HashMap<Character,trie> hm = new HashMap<>();
		int count;
		boolean isterminal;
	}
	
	
	
	
	public static class pair{
		long val;
		int key;
	}
	
	public static class comp implements Comparator<pair>{
		public int compare(pair o1, pair o2){
			return Long.valueOf(o2.val).compareTo(Long.valueOf(o1.val));
		}
		
	}
	
	
	public static int partition(int [] arr, int s, int e){
		
		int index=s;
		int pivot = arr[e];
		for(int i=s;i<=e-1;i++){
			if(arr[i]<=pivot){
				arr = swap(arr, index, i);
				index++;
			}
		}
		swap(arr,index,e);
		print(arr);
		return index;
	}
	
	public static int[] swap(int[] arr, int low, int high){
		int temp = arr[low];
		arr[low]=arr[high];
		arr[high]=temp;
		return arr;
	}
	
	
	public static long gcd(long a, long b){
		if(a==0)
			return b;
		
		return gcd(b%a,a);
	}
	
	public static void print(int[] arr){
		for(int i=0;i<arr.length;i++)
			System.out.print(arr[i]+" ");
		System.out.println();
	}
	
 
	public static class FastReader {
		BufferedReader br;
		StringTokenizer st;
	
 
		public FastReader() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}
 
		String next() {
			while (st == null || !st.hasMoreTokens()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (Exception r) {
					r.printStackTrace();
				}
			}
			return st.nextToken();
		}
 
		int nextInt() {
			return Integer.parseInt(next());//converts string to integer
		}
 
		double nextDouble() {
			return Double.parseDouble(next());
		}
 
		long nextLong() {
			return Long.parseLong(next());
		}
 
		String nextLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (Exception r) {
				r.printStackTrace();
			}
			return str;
		}
	}
	
}