|
|
Post by lawrieleslie on Jan 29, 2008 8:02:23 GMT
OK yesterdays was obviously too easy. To give more people a chance of having a go without seeing other peoples answers I will post a second thread every day where you can post your answers.
Todays problem is a combination of maths and logic.
In 1998 the British Internet Chess Championship attracted 35,240 entries for the staight knock out competition. However a preliminary round had to take place to reduce the entries to a number that would facilitate a several round knock-out competition. The players to take part in the preliminary round were picked randomly.
The problem is in 2 parts.
1. How many matches were played in the competition, including the preliminary rounds and the final. Assume no replays were needed.
(To find the answer to 1 you could do a long-winded calculation but this is not allowed. There is another much easier way of working out the number of games. So along with your answer you must state the logic you used to find the number of matches played)
2. What would have been the minimum number of preliminary round matches.
.
|
|
|
|
Post by Deleted on Jan 30, 2008 8:43:58 GMT
What’s the answer to this bloody question then?
|
|
|
|
Post by lawrieleslie on Jan 30, 2008 9:12:29 GMT
Delilah I was a bit harsh telling you that your answers were wrong. Certainly you got the total number of matches right but the question asked to derive the answers by pure logic and you did the longwinded maths calculation. Total number of matches can be easily worked out with logic. There were a total of 35,240 entries of which there was only one winner. Therefore logically there were 35,239 losers. For these entries there must therefore have been 35,239 matches.
As for the number of preliminary matches, your answer was correct but your logic in deriving that answer was not right.
You were correct in working out that there would need to be 32768 entries for a straight forward knockout. Therefore 2472 players need to be eliminated during preliminary round. To accomplish this there would need to be, as you correctly stated, 2472 matches. Now wait for todays puzzle.
|
|
|
|
Post by Deleted on Jan 30, 2008 9:19:49 GMT
So I was right then  |
|
