Description

Legend has it that Joseph survived by quickly calculating this problem.
$n$ people stand in a circle, numbered from $1$ to $n$. Starting from the first person, they count off, and the $m$-th person leaves the circle. The next person starts counting from $1$ again, and the $m$-th person leaves. This continues until everyone has left the circle. Please output the order in which people leave the circle.

Input Format

Two integers $n$ and $m$ ($1≤n, m≤100$).

Output Format

$n$ integers separated by spaces, representing the order in which people leave the circle.

Sample

6 4

4 2 1 3 6 5