Senior two math problems

The 2006 World Cup is a strong team selected from the qualifiers of all continents. There are 32 teams entering the finals, which are divided into 8 groups: A, B, C, D, E, F, G and H, with 4 teams in each group. The group match is a round robin, and each team has to play once. Then choose two teams with the highest scores from each group, and choose the former 16.

First of all, the top 32 players can be counted from the previous 16. How many games do you want to play?

Tip: I can give you a list of the top 32 as follows:

Groups a, b, c and d

Germany Sweden Netherlands Iran

Poland Paraguay Argentina Mexico

Ecuador, Britain, C? te d 'Ivoire and Angola

Costa Rica Trinidad Tobago Serbia Montenegro Portugal

Group e, group f, group g and group h

Ghana Brazil Togo Ukraine

Czech Republic, Japanese, French and Tunisia.

United States Croatia Switzerland Spain

Italy Australia Korea Saudi Arabia

Weiwei calculation: group a

Germany-There is one match with each of the other three countries, ***3 matches;

Poland-except Germany, there is one match with two other countries, ***2 matches;

Ecuador-against Germany and Poland, only 1 against Costa Rica.

* * * Each group of games: 6 games.

8 teams * * * Games: 8×6 =48 games.

So choose the top 32 16 to play ***48 games.

After 48 group matches, the top two in each group will enter the final of 1/8.

If the points of the two teams in the group match are the same, the goal difference between the two teams will be calculated. The team with more goal difference will enter the final of 1/8.

Team 16, which entered the final of18, only played one knockout, that is, only one was the winner. The loser was eliminated and the winner entered the final of 1/4. That is, only 16/2=8 fields.

The two teams can draw in the group stage.

After 1/8, the game is a life-and-death game. The outcome is undecided, so we can't draw lots. If the 90-minute game is tied, it will go into overtime. Overtime 30 minutes, first half 15 minutes. In overtime, the 2006 World Cup will replace the "golden ball system" with the "silver ball system". The so-called "golden ball system" means that after entering overtime, as long as one side scores, the game is over. The "silver ball system" is to play overtime for 30 minutes, and after 30 minutes, the outcome is decided according to the score. If the outcome is still uncertain in overtime, it will be decided by penalty kick.

The final of 1/8 decided that the top 8 would enter the final of 1/4. The knockout round is also adopted, playing 8/2=4 games. Decide on the top four

The first four players played two semi-finals, the third and fourth players played another game for the third place, and finally the championship and runner-up finals. The winner is the World Cup champion.

So the total number of matches in the whole World Cup is:

48+8+4+2+2=64 games