68 people signed up for the badminton competition for primary school students. How to group them and play games as little as possible?
Draw lots to enter the single elimination table. In the first round (qualifying round), there were only 8 players (four games), 4 players were eliminated, and the other 4 players (winners) entered the race (top 64). In the second round of 32 games, 32 celebrities entered the next round, the third round of 16 games, 16 celebrities entered the next round, the fourth round of 8 games, 8 celebrities entered the next round, the winner of the fifth round of 4 games entered the next round, the winner of the sixth round of 2 games entered the final, and the winner of the seventh round was the runner-up.
This is 7 rounds and 67 games. (4+32+16+8+4+2+1= 67 games).
In a 68-person competition, there can be 8 seeded players, distributed in various areas of 1/8. The seed player 1 is fixed at the top of the upper zone of 1 (serial number), and the seed No.2 is fixed at the bottom of the lower zone of 68. No.3 and No.4 seed players need to draw lots to decide who is at the top of the second area of 1/4 and the third area of 65438+.
Because the graphics of the 68 ers are too long, I won't draw them. Please provide the players for the first round of four matches. In the upper part, 16- 17 (serial number) 33-34 was drawn. At the number of 35-36 and 52-53 in the lower half, more than 8 people play the first round (four innings), while others (60 people) have a bye in the first round.