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Description

Consider a game where there are n children (numbered 1,2,…,n) in a circle. During the game, repeatedly k children are skipped and one child is removed from the circle. In which order will the children be removed?

Input Format

The only input line has two integers n and k.

Output Format

Print n integers: the removal order.

7 2

3 6 2 7 5 1 4

Hint

<li> 1≤n≤2⋅10⁵ </li> <li> 0≤k≤10⁹ </li>

Source

CSES