Match-Match Player

Description
This Arab has put his camp here. He is probably travelling through the desert and is resting here for a while. The Arab has some matches. He seems to be playing some kind of game with them. You wonder what the rules of the game are.

Location
Drisnak Desert

First Round
Each player takes turns taking 1, 2 or 3 matches, but whoever picks up the last match loses.

3n + 1

Second Round
Each player takes turns taking 1, 2, or 3 matches, and the person that picks up the last match wins.

3n - 1

Example: The Arab currently has 21 matches. > take 1 Match-Match Player takes 1 match. (19 left) > take 3 Match-Match Player takes 2 matches. (14 left) > take 2 Match-Match Player takes 2 matches. (10 left) > take 2 Match-Match Player takes 1 match. (7 left) > take 3 Match-Match Player takes 2 matches. (2 left) > take 2

Match-Match Player says: Hmm, some way you managed to defeat me! Match-Match Player says: You must have been lucky. Match-Match Player says: Take this as a reward. Match-Match Player gives map to you. You feel more experienced.

Play Sequence
Him vs Me
 * H 1
 * M 4
 * H 5
 * M 8
 * H 9
 * M 12
 * H 13
 * M 16
 * H 17
 * M 20
 * H 21
 * M 24