Description

$n$ people stand in a circle. Starting from the first person, they count off; the person who counts to $m$ leaves the circle. Then the next person resumes counting from $1$. The person who counts to $m$ leaves the circle again. Repeat this process until everyone has left the circle. Output the labels of the people who leave, in order.

Note: This problem differs slightly from the example in the book "深入浅出-基础篇". In the book, the description is to eliminate $n-1$ children, whereas this problem continues until everyone leaves the circle.

Input Format

Input two integers $n, m$.

Output Format

Output one line with $n$ integers: the labels of the people leaving the circle in order.

10 3

3 6 9 2 7 1 8 5 10 4

Hint

$1 \le m, n \le 100$

Translated by ChatGPT 5