The Text Splitting (将字符串分成若干份，每份长度为p或q）

Description

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.

Sample Input

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

#include<cstdio>
char s[1000000];
int main()
{
    int n,p,q,k,l1,l2,l,g;
    while(scanf("%d %d %d",&n,&p,&q)!=EOF)
    {
        scanf("%s",&s);
        g=1;
        for(int i = 0; i <= n ; i++)
            {
                 for( int j = 0; j <= n ; j++)
                {
                    if(i*p+j*q == n)
                    {
                        printf("%d
",i+j);
                        k=-1;
                        while(i--)
                        {
                            l=p;
                            while(l--)
                            {
                                printf("%c",s[++k]);
                            }
                            printf("
");
                        }        
                        while(j--)
                        {
                            l=q;
                            while(l--)
                            {
                                printf("%c",s[++k]);
                            }
                            printf("
");
                        }
                        g=0;
                        break;
                    }
                }
                if(g == 0) break;
            }
            if(g != 0) printf("-1
");
            
    }
    
}