Problem: You are given an array s consisting of n integers.

You have to find any array t of length k such that you can cut out maximum number of copies of array t from array s.

Cutting out the copy of t means that for each element t_i of array t you have to find t_i in s and remove it from s. If for some t_i you cannot find such element in s, then you cannot cut out one more copy of t. The both arrays can contain duplicate elements.

For example, if s = [1, 2, 3, 2, 4, 3, 1] and k = 3 then one of the possible answers is t = [1, 2, 3]. This array t can be cut out 2 times. 

  * To cut out the first copy of t you can use the elements [1, \underline{2}, 3, 2, 4, \underline{3}, \underline{1}] (use the highlighted elements). After cutting out the first copy of t the array s can look like [1, 3, 2, 4]. 
  * To cut out the second copy of t you can use the elements [\underline{1}, \underline{3}, \underline{2}, 4]. After cutting out the second copy of t the array s will be [4]. 



Your task is to find such array t that you can cut out the copy of t from s maximum number of times. If there are multiple answers, you may choose any of them.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 2 ⋅ 10^5) — the number of elements in s and the desired number of elements in t, respectively.

The second line of the input contains exactly n integers s_1, s_2, ..., s_n (1 ≤ s_i ≤ 2 ⋅ 10^5).

Output

Print k integers — the elements of array t such that you can cut out maximum possible number of copies of this array from s. If there are multiple answers, print any of them. The required array t can contain duplicate elements. All the elements of t (t_1, t_2, ..., t_k) should satisfy the following condition: 1 ≤ t_i ≤ 2 ⋅ 10^5.

Examples

Input


7 3
1 2 3 2 4 3 1


Output


1 2 3 


Input


10 4
1 3 1 3 10 3 7 7 12 3


Output


7 3 1 3


Input


15 2
1 2 1 1 1 2 1 1 2 1 2 1 1 1 1


Output


1 1 

Note

The first example is described in the problem statement.

In the second example the only answer is [7, 3, 1, 3] and any its permutations. It can be shown that you cannot choose any other array such that the maximum number of copies you can cut out would be equal to 2.

In the third example the array t can be cut out 5 times.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
const long long INF = 1e12;
const int MOD = 1e9 + 7;
const unsigned long long BIT_FLAG_0 = (1 << 0);
const unsigned long long BIT_FLAG_1 = (1 << 1);
const unsigned long long BIT_FLAG_2 = (1 << 2);
const unsigned long long BIT_FLAG_3 = (1 << 3);
const unsigned long long BIT_FLAG_4 = (1 << 4);
const unsigned long long BIT_FLAG_5 = (1 << 5);
const unsigned long long BIT_FLAG_6 = (1 << 6);
const unsigned long long BIT_FLAG_7 = (1 << 7);
const long long dx[4] = {0, 1, 0, -1}, dy[4] = {-1, 0, 1, 0};
const long long Dx[8] = {0, 1, 1, 1, 0, -1, -1, -1},
                Dy[8] = {-1, -1, 0, 1, 1, 1, 0, -1};
void print() { cout << "\n"; }
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
  cout << head;
  if (sizeof...(tail) != 0) cout << " ";
  print(forward<Tail>(tail)...);
}
template <class T>
void print(vector<T> &vec) {
  for (auto &a : vec) {
    cout << a;
    if (&a != &vec.back()) cout << " ";
  }
  cout << "\n";
}
template <class T>
void print(set<T> &set) {
  for (auto &a : set) {
    cout << a << " ";
  }
  cout << "\n";
}
template <class T>
void print(vector<vector<T>> &df) {
  for (auto &vec : df) {
    print(vec);
  }
}
long long power(long long a, long long n) {
  long long res = 1;
  while (n > 0) {
    if (n & 1) res = res * a;
    a *= a;
    n >>= 1;
  }
  return res;
}
long long comb(long long n, long long k) {
  vector<vector<long long>> v(n + 1, vector<long long>(n + 1, 0));
  for (long long i = 0; i < (long long)((v).size()); i++) {
    v[i][0] = 1;
    v[i][i] = 1;
  }
  for (long long k = 1; k < (long long)((v).size()); k++) {
    for (long long j = 1; j < k; j++) {
      v[k][j] = (v[k - 1][j - 1] + v[k - 1][j]);
    }
  }
  return v[n][k];
}
void add(long long &a, long long b) {
  a += b;
  if (a >= MOD) a -= MOD;
}
template <class T>
inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <class T>
inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
__attribute__((constructor)) void faster_io() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
}
long long n, k;
map<long long, long long> got;
pair<bool, multiset<long long>> isOK(long long idx) {
  multiset<long long> ans;
  multiset<long long> trueans;
  long long cnt = 0;
  for (const auto &[key, value] : got) {
    long long types = value / idx;
    cnt += types;
    for (long long ti = 0; ti < (long long)(types); ti++) {
      ans.insert(key);
    }
  }
  if (cnt >= k) {
    long long now = 0;
    for (auto i : ans) {
      trueans.insert(i);
      now++;
      if (now == k) {
        break;
      }
    }
    return make_pair(true, trueans);
  } else {
    return make_pair(false, trueans);
  }
}
multiset<long long> bin_search() {
  multiset<long long> finalans;
  long long ng = n + 1;
  long long ok = 0;
  while (abs(ok - ng) > 1) {
    long long mid = (ok + ng) / 2;
    long long bl = isOK(mid).first;
    auto nums = isOK(mid).second;
    if (bl) {
      ok = mid;
      finalans = nums;
    } else
      ng = mid;
  }
  return finalans;
}
signed main() {
  cin >> n >> k;
  vector<long long> A(n);
  for (long long ni = 0; ni < (long long)(n); ni++) {
    long long v;
    cin >> v;
    A[ni] = v;
    got[v]++;
  }
  auto ret = bin_search();
  for (auto i : ret) {
    cout << i << " ";
  }
  return 0;
}