You are given the string s of length n and the numbers p, q. Split the string s to pieces of length p and q.

For example, the string "Hello" for p = 2, q = 3 can be split to the two strings "Hel" and "lo" or to the two strings "He" and "llo".

Note it is allowed to split the string s to the strings only of length p or to the strings only of length q (see the second sample test).

Input

The first line contains three positive integers n, p, q (1 ≤ p, q ≤ n ≤ 100).

The second line contains the string s consists of lowercase and uppercase latin letters and digits.

Output

If it's impossible to split the string s to the strings of length p and q print the only number "-1".

Otherwise in the first line print integer k — the number of strings in partition of s.

Each of the next k lines should contain the strings in partition. Each string should be of the length p or q. The string should be in order of their appearing in string s — from left to right.

If there are several solutions print any of them.

Examples

Input

5 2 3
Hello


Output

2
He
llo


Input

10 9 5
Codeforces


Output

2
Codef
orces


Input

6 4 5
Privet


Output

-1


Input

8 1 1
abacabac


Output

8
a
b
a
c
a
b
a
c
import java.util.Scanner;


public class Practice2 {

  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int length = sc.nextInt();
    int x = sc.nextInt();
    int y = sc.nextInt();
    String text = sc.next();
    sc.close();
    textSplitting(text,length,x,y);
  }
  
  public static void textSplitting(String text,int length, int x,int y) {
    int a = 0;
    int b = 0;
    boolean found = false;
    for(a = 0; a <= length/x;a++){
      double b1 = (double) (length - a*x) / y;
      b = (int) Math.floor(b1);
      if(b == b1){
        found = true;
        break;
      }
    }
    if(found){
      int start = 0;
      System.out.println(a+b);
      while(a+b > 0){
        if(a > 0){
          System.out.println(text.substring(start,start+x));
          start+=x;
          a--;
        }else{
          System.out.println(text.substring(start,start+y));
          start+=y;
          b--;
        }
      }
    }else{
      System.out.println("-1");
    }


  }

}
