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 CPP):

Solution:
#include <bits/stdc++.h>
#pragma GCC optimize "trapv"
using namespace std;
vector<string> split(const string& s, char c) {
  vector<string> v;
  stringstream ss(s);
  string x;
  while (getline(ss, x, c)) v.push_back(x);
  return move(v);
}
template <typename T, typename... Args>
inline string arrStr(T arr, int n) {
  stringstream s;
  s << "[";
  for (int i = 0; i < n - 1; i++) s << arr[i] << ",";
  s << arr[n - 1] << "]";
  return s.str();
}
inline void __evars_begin(int line) { cerr << "#" << line << ": "; }
template <typename T>
inline void __evars_out_var(vector<T> val) {
  cerr << arrStr(val, val.size());
}
template <typename T>
inline void __evars_out_var(T* val) {
  cerr << arrStr(val, 10);
}
template <typename T>
inline void __evars_out_var(T val) {
  cerr << val;
}
inline void __evars(vector<string>::iterator it) { cerr << endl; }
template <typename T, typename... Args>
inline void __evars(vector<string>::iterator it, T a, Args... args) {
  cerr << it->substr((*it)[0] == ' ', it->length()) << "=";
  __evars_out_var(a);
  cerr << "; ";
  __evars(++it, args...);
}
template <typename T_vector>
void output_vector(const T_vector& v, bool add_one = false, int start = -1,
                   int end = -1) {
  if (start < 0) start = 0;
  if (end < 0) end = int(v.size());
  for (int i = start; i < end; i++)
    cout << v[i] + (add_one ? 1 : 0) << (i < end - 1 ? ' ' : '\n');
}
const long long MaxN = 5e5 + 5;
vector<long long> st(4 * MaxN, INT_MAX);
long long f(long long x, long long y) { return min(x, y); }
void build(long long a[], long long node, long long start, long long end) {
  if (start == end) {
    st[node] = a[end];
  } else {
    long long mid = (start + end) / 2;
    build(a, 2 * node + 1, start, mid);
    build(a, 2 * node + 2, mid + 1, end);
    st[node] = f(st[2 * node + 1], st[2 * node + 2]);
  }
}
void update(long long node, long long start, long long end, long long pos,
            long long val) {
  if (pos < start || pos > end)
    return;
  else if (start == end && pos == start) {
    st[node] = val;
    return;
  }
  long long mid = (start + end) / 2;
  update(2 * node + 1, start, mid, pos, val);
  update(2 * node + 2, mid + 1, end, pos, val);
  st[node] = f(st[2 * node + 1], st[2 * node + 2]);
}
long long query(long long start, long long end, long long l, long long r,
                long long node) {
  if (r < start || l > end)
    return INT_MAX;
  else if (start >= l && end <= r)
    return st[node];
  long long mid = (start + end) / 2;
  return f(query(start, mid, l, r, 2 * node + 1),
           query(mid + 1, end, l, r, 2 * node + 2));
}
long long find(long long k, long long node, long long l, long long r) {
  if (l == r) return l;
  long long mid = (l + r) / 2;
  long long t = st[node * 2 + 1];
  if (k < t) {
    return find(k, node * 2 + 1, l, mid);
  } else {
    return find(k - t, node * 2 + 2, mid + 1, r);
  }
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  clock_t clk = clock();
  int t = 1;
  for (int tc = 0; tc < t; tc++) {
    string s;
    long long k;
    cin >> s >> k;
    long long a[(long long)s.size()];
    for (int i = 0; i < (long long)s.size(); i++) {
      a[i] = (int)(s[i] - 'a' + 1);
    }
    long long n = (long long)s.size();
    build(a, 0, 0, n - 1);
    cout << "Mike" << endl;
    for (int i = 1; i < n; i++) {
      long long qry = query(0, n - 1, 0, i - 1, 0);
      if (qry < a[i]) {
        cout << "Ann"
             << "\n";
      } else {
        cout << "Mike"
             << "\n";
      }
    }
  }
}