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A. New Password

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputInnokentiy decides to change the password in the social net "Contact!", but he is too lazy to invent a new password by himself. That is why he needs your help.

Innokentiy decides that new password should satisfy the following conditions:

- the length of the password must be equal to
*n*, - the password should consist only of lowercase Latin letters,
- the number of distinct symbols in the password must be equal to
*k*, - any two consecutive symbols in the password must be distinct.

Your task is to help Innokentiy and to invent a new password which will satisfy all given conditions.

Input

The first line contains two positive integers *n* and *k* (2 ≤ *n* ≤ 100, 2 ≤ *k* ≤ *min*(*n*, 26)) — the length of the password and the number of distinct symbols in it.

Pay attention that a desired new password always exists.

Output

Print any password which satisfies all conditions given by Innokentiy.

Examples

Input

4 3

Output

java

Input

6 6

Output

python

Input

5 2

Output

phphp

Note

In the first test there is one of the appropriate new passwords — java, because its length is equal to 4 and 3 distinct lowercase letters a, j and v are used in it.

In the second test there is one of the appropriate new passwords — python, because its length is equal to 6 and it consists of 6 distinct lowercase letters.

In the third test there is one of the appropriate new passwords — phphp, because its length is equal to 5 and 2 distinct lowercase letters p and h are used in it.

Pay attention the condition that no two identical symbols are consecutive is correct for all appropriate passwords in tests.

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