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).
The first line contains three positive integers n,p,q (1 \le p,q \le n \le 100).
The second line contains the string s consists of lowercase and uppercase latin letters and digits.
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.