100 team, in the shortest time.

If it is only the fastest, you can randomly select a team from the team of 100 and list it as the seed team. The remaining teams will compete with the seed team one by one in the order of drawing lots. The winning team will become the new seed team and accept the challenge of the remaining teams until the last team is decided to be the champion!

In this case, 99 games is enough, and it is fairer to enter the next round by drawing lots than if the remaining teams in the knockout stage are not odd.