The army master found that Huang Bo seem know all his strategies before the wars. The army master suspects there is a spy in the special group. Who is spy? He asked ItakEjgo.

**ItakEjgo** told him “Counting-out game” can help him find the spy, the
descprition of “counting-out gram” is:

The soldiers in special group are standing
in a circle waiting to be executed. The soldiers are numbered from 0. At first, the soldier numbered 0 is the leader. For each round of the game, counting
begins at the next solider after the leader in the circle and proceeds around the circle in clock-wise
direction. After **k-1** soldiers are
counted, the** next person** is removed
from that circle. And the next person after the removed soldier becomes the new leader. The procedure is repeated with the remaining soldiers,
starting with the next leader, until only one soldier remains. The remained
soldier is spy.

The army master asks you for help. Please,
if and only if the army master find out the spy, **ItakEjgo **can defeat the evil **Huang
Bo**!