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
from sys import stdin
import math

n, p, q = map(int, stdin.readline().strip().split(' '))
s = stdin.readline().strip()


def main():
    if n % p == 0:
        split_s = [s[i:i+p] for i in xrange(0, len(s), p)]
        print len(split_s)
        for substr in split_s:
            print substr
        return

    if n % q == 0:
        split_s = [s[i:i+q] for i in xrange(0, len(s), q)]
        print len(split_s)
        for substr in split_s:
            print substr
        return

    for i in xrange(1, n/p + 1):
        for j in xrange(n/q, 0, -1):
            if i*p + j*q == n:
                print i + j
                split_1 = [s[k:k+p] for k in xrange(0, i*p, p)]
                split_2 = [s[k:k+q] for k in xrange(i*p, len(s), q)]
                for substr in split_1:
                    print substr
                for substr in split_2:
                    print substr
                return

    print '-1'
    return

main()