We will hold a chess match. How can 47 players play to decide whether the champion and the third runner-up must be fair?

Seeing so many people answering, I feel that they definitely have no experience in organizing competitions. The best way is

1, you should first determine your actual situation, that is, how many days or hours of competition time. And then estimate how many rounds you can play in the specified time?

2. After the time is determined, I will play several rounds according to my method, regardless of the time. Even if the players are odd and 47 people have a bye, they can still decide the relatively fair and efficient third place.

Details are as follows:

Each round randomly selects 1 and 47 players according to the numbers from 1 to 47. In the first round, which one to draw, no opponent. Bye.

2. Divide into two or three groups from the second round. The winner of the first round enters the winner group, and the loser of the first round enters the loser group. If the back hand and chess don't score, an intermediate group can be added. For example, after two rounds, two consecutive victories and two consecutive victories, two consecutive defeats and two consecutive defeats, one win and one loss and one win and one loss, or two draws. After too many rounds, the following will happen: (1) The winner who wins all the way will always stay in the winner group, and the last top three will definitely be in this group. (2) If 47 people don't win, after each round of competition, calculate the players' points, and try to keep the people with high scores and the same points in one group. In short, the next round of grouping is determined according to strong dialogue, weak dialogue and middle alignment, and the players are allowed to randomly select opponents in the group after grouping.

Just specify the winning points, determine the points (whether the opponent and the organizer will give more points), and finally add up the total points of all rounds and rank them separately. The more rounds you play, the fairer you are. Doesn't mean you don't have a chance to enter the loser group in the first round. Even if you lose in the first round, you will have a chance to hit the ranking if you win all the time.

Note: 1, this method needs to specify the time of each round, and ensure that each round starts and ends at the same time. The judgment of winning or losing within the specified time should be based on time or other criteria. 3. The most important thing is to find people with the same or similar scores in one group after each round, and divide them into at least two groups and at most three groups. There should be no more groups. Moreover, the next round of players and which group of players draw lots are different, and the outcome of each round is different. The final ranking depends on the player's total score, not his group. The winner can't meet everyone, but his score must be the highest. Since there are 47 people, there will be a bye in each round, so make sure that one person can't bye twice. The method is to let the next round of each round draw lots first to ensure that he has an opponent. Finally, considering the achievements of all the people who have drawn a bye, according to the actual situation, for example, those who have drawn a bye in one round can play an overtime game with those who have not drawn a bye, which is unlikely. Generally, even if someone has a bye in each round, it will not affect the ranking of the top three.