Description

There are $n$ people standing in a circle in order. Starting from the first person, they count off, and the $m$-th person is eliminated. Then, the next person starts counting again, and the $m$-th person is eliminated. This process repeats until all people have been eliminated. The individuals are numbered from $1$ to $n$. Print the order in which they are eliminated.

Input Format

$n$ and $m$.

Output Format

The elimination order.

4 17

1 3 4 2

Hint

$n \leq 100$.