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.ArrayList;
import java.util.Scanner;

/**
 * Created by Nejc on 25.10.2015.
 */
public class A {
    public static void main(String[]args){
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int p = sc.nextInt();
        int r = sc.nextInt();
        String input = sc.next();
        int index = 0;
        ArrayList<String> parts = new ArrayList<>();
        while (n % r != 0){
            n -= p;
            if(n>=0){
                parts.add(input.substring(index, index + p));
                index += p;
            }
            else{
                System.out.println(-1);
                return;
            }
        }
        while (index != input.length()){
            parts.add(input.substring(index, index + r));
            index += r;
        }

        System.out.println(parts.size());
        for(String s : parts){
            System.out.println(s);
        }
    }
}
