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.
import java.io.*;
import java.util.*;

public class Main {


    private  static void solver(InputReader sc, PrintWriter out) throws Exception {
          int n =  sc.nextInt();
          StringBuilder s = new StringBuilder(sc.next());
          List<Integer> al = new ArrayList<>();
          al.add(n);
          int sq = (int)Math.sqrt(n);
          for(int i=2;i<=sq;i++){
               if(n%i==0){
                   if (i != (n / i)) {
                       al.add(n / i);
                   }
                   al.add(i);
               }
          }
          Collections.sort(al);
         // s.reverse();
         // StringBuilder ans = new StringBuilder("");
          for(int i=0;i<al.size();i++){
              int x = al.get(i);
             // out.println(x);
                String f = s.substring(0,x);
                String sec = s.substring(x,n);
                s = new StringBuilder("");
                f = rev(f);
                s.append(f).append(sec);
             // out.println(s);
          }
          out.println(s);
    }
    private static String rev(String s){
        StringBuilder sb = new StringBuilder(s);
        sb.reverse();
        return sb.toString();
    }
    private  static long gcd(long a, long b){
        if(b==0)
            return a;
        else
            return gcd(b,a%b);
    }

    public static void main(String[] args) throws Exception{
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        solver(in,out);
        out.close();
    }
    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }
        public long nextLong(){
            return Long.parseLong(next());
        }

        public long[] readLongArr(int n){
            long arr[] = new long[n];
            for(int i=0; i<n; i++){
                arr[i] = nextLong();
            }
            return arr;
        }
        public int[] readIntArr(int n){
            int arr[] = new int[n];
            for(int i=0; i<n; i++){
                arr[i] = nextInt();
            }
            return arr;
        }
    }
}
class Pair implements Comparable<Pair>{
    int x;
    String s;
    Pair(int x, String s){
        this.x = x;
        this.s = s;
    }
    public int compareTo(Pair p){
        return this.x-p.x;
    }
}