Repeated String

Lilah has a string, , of lowercase English letters that she repeated infinitely many times.

Given an integer, , find and print the number of letter a's in the first  letters of Lilah's infinite string.

For example, if the string  and , the substring we consider is , the first  characters of her infinite string. There are  occurrences of a in the substring.

Input Format

The first line contains a single string, . 
The second line contains an integer, .

Constraints

• For  of the test cases, .

Output Format

Print a single integer denoting the number of letter a's in the first  letters of the infinite string created by repeating  infinitely many times.

Sample Input 0

aba
10

Sample Output 0

7

Explanation 0 
The first  letters of the infinite string are abaabaabaa. Because there are  a's, we print  on a new line.

Sample Input 1

a
1000000000000

Sample Output 1

1000000000000

Explanation 1 
Because all of the first  letters of the infinite string are a, we print  on a new line.

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