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Half of each competition will be eliminated, but if it is odd, one lucky person can go directly to the next competition after drawing lots to decide the competition object.

( 12 1- 1)/2=60

(60+ 1- 1)/2=30

(30+ 1- 1)/2= 15

( 15+ 1)/2=8

8/2=4

4/2=2

2/2= 1

A ***7 games.