tippytippy
New member
- Joined
- Mar 20, 2010
- Messages
- 5
Hey, I was wondering if anyone could help me find a way to determine the solution for this POW. I have been struggling with it for a while, so any help would be greatly appreciated.
The problem:
King Arthur has a daughter and wants to marry her off to one of his knights. The way he chooses is to have them all sit down at the round table and he'll say to the first knight, "Your out." He'll say to the second knight, "Your in," and says to the third one "your out," and so on around the table. He continues doing this around the table, skipping the knights he as already deemed "out." Obviously, the winner will be sitting in an even number chair.
Thus far I have found:
2 knights winner = 2
3 knights winner = 2
4 knights winner = 4
5 knights winner = 2
6 knights winner = 4
7 knights winner = 6
8 knights winner = 8
9 knights winner = 2
10 knights winner = 4
11 knights winner = 6
12 knights winner = 8
13 knights winner = 10
14 knights winner = 12
15 knights winner = 14
16 knights winner = 16
17 knights winner = 2
18 knights winner = 4
I'm having trouble finding patterns.. at least I think I am, as I keep second guessing myself and what not. If anyone could offer help regarding finding a solution in which I would ultimately be able to determine where to sit if there were 99 knights present, or just any type of clues towards such solution. Also, I really need help finding specific patterns in this problem, so any help/clues would be so appreciated!!
The problem:
King Arthur has a daughter and wants to marry her off to one of his knights. The way he chooses is to have them all sit down at the round table and he'll say to the first knight, "Your out." He'll say to the second knight, "Your in," and says to the third one "your out," and so on around the table. He continues doing this around the table, skipping the knights he as already deemed "out." Obviously, the winner will be sitting in an even number chair.
Thus far I have found:
2 knights winner = 2
3 knights winner = 2
4 knights winner = 4
5 knights winner = 2
6 knights winner = 4
7 knights winner = 6
8 knights winner = 8
9 knights winner = 2
10 knights winner = 4
11 knights winner = 6
12 knights winner = 8
13 knights winner = 10
14 knights winner = 12
15 knights winner = 14
16 knights winner = 16
17 knights winner = 2
18 knights winner = 4
I'm having trouble finding patterns.. at least I think I am, as I keep second guessing myself and what not. If anyone could offer help regarding finding a solution in which I would ultimately be able to determine where to sit if there were 99 knights present, or just any type of clues towards such solution. Also, I really need help finding specific patterns in this problem, so any help/clues would be so appreciated!!
