A string s of length n can be encrypted by the following algorithm:

  * iterate over all divisors of n in decreasing order (i.e. from n to 1), 
  * for each divisor d, reverse the substring s[1 ... d] (i.e. the substring which starts at position 1 and ends at position d). 



For example, the above algorithm applied to the string s="codeforces" leads to the following changes: "codeforces" → "secrofedoc" → "orcesfedoc" → "rocesfedoc" → "rocesfedoc" (obviously, the last reverse operation doesn't change the string because d=1).

You are given the encrypted string t. Your task is to decrypt this string, i.e., to find a string s such that the above algorithm results in string t. It can be proven that this string s always exists and is unique.

Input

The first line of input consists of a single integer n (1 ≤ n ≤ 100) — the length of the string t. The second line of input consists of the string t. The length of t is n, and it consists only of lowercase Latin letters.

Output

Print a string s such that the above algorithm results in t.

Examples

Input

10
rocesfedoc


Output

codeforces


Input

16
plmaetwoxesisiht


Output

thisisexampletwo


Input

1
z


Output

z

Note

The first example is described in the problem statement.
#include <bits/stdc++.h>
template <class T>
bool chmax(T &a, const T &b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <class T>
bool chmin(T &a, const T &b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
using namespace std;
using ll = long long;
using vi = vector<int>;
using vll = vector<ll>;
using vvll = vector<vll>;
using ii = pair<int, int>;
using vvi = vector<vi>;
using vii = vector<ii>;
using vs = vector<string>;
using P = pair<ll, ll>;
using gt = greater<P>;
using minq = priority_queue<P, vector<P>, gt>;
using vP = vector<P>;
inline ll in() {
  ll x;
  scanf("%lld", &x);
  return x;
}
template <class T>
void takeUnique(vector<T> &v) {
  auto last = std::unique(v.begin(), v.end());
  v.erase(last, v.end());
}
template <class T>
void print(const initializer_list<T> &il) {
  for (auto x : il) {
    cout << x << " ";
  }
  cout << "\n";
}
inline void priv(vll a) {
  for (int i = 0; i < ((int)a.size() - 1); ++i) cout << a[i] << " ";
  cout << a.back() << '\n';
}
inline void priv(vi a) {
  for (int i = 0; i < ((int)a.size() - 1); ++i) cout << a[i] << " ";
  cout << a.back() << '\n';
}
const ll LINF = 8e18L + 1;
const int INF = 8e9 + 1;
int dx[] = {0, 1, 0, -1};
int dy[] = {1, 0, -1, 0};
int dxx[] = {0, 1, 1, 1, 0, -1, -1, -1};
int dyy[] = {1, 1, 0, -1, -1, -1, 0, 1};
int main() {
  ios::sync_with_stdio(false);
  cin.tie(NULL);
  cout << fixed << setprecision(16);
  int n;
  string s;
  cin >> n >> s;
  for (ll i = 1; i <= n; ++i) {
    if (n % i) continue;
    reverse(s.begin(), s.begin() + i);
  }
  cout << s << '\n';
  return 0;
}
