08-05-2009 06:50 AM
08-05-2009 06:57 AM
The third and fifth columns are not even needed to compelte the sequence.
I assumed they were there as red herrings.
Shane.
08-05-2009 06:59 AM
Lesson to be learned:
Data with multiple attack vectors is no good for cryptographic purposes.
Shane.
08-05-2009 07:05 AM
08-05-2009 07:12 AM
Sure will................
08-05-2009 08:56 PM
Also difference between 4th and 5th column.
3 = 1 x 3 in 1st row
8 = 2 x 4 in 2nd row
15 = 3 x 5 in 3rd row
24 = 4 x 6 in 4th row
thus:
35 = 5 x 7 in 5th row
08-06-2009 09:08 AM
08-07-2009 07:40 AM
Here is one for the day
You are the ruler of a medieval empire and you are about to have a celebration tomorrow. The celebration is the most important party you have ever hosted. You've got 1000 bottles of wine you were planning to open for the celebration, but you find out that one of them is poisoned.
The poison exhibits no symptoms until death. Death occurs within ten to twenty hours after consuming even the minutest amount of poison.
You have over a thousand slaves at your disposal and just under 24 hours to determine which single bottle is poisoned.
You have a handful of prisoners about to be executed, and it would mar your celebration to have anyone else killed.
What is the smallest number of prisoners you must have to drink from the bottles to be absolutely sure to find the poisoned bottle within 24 hours?
Hint : This is very difficult (analytically)
08-07-2009 08:01 AM - edited 08-07-2009 08:01 AM
10. ![]()
2^10 is just enough to cover the sample size.
Shane.
08-07-2009 08:34 AM
0 prisoners must test the wine
Since poison takes 10 to 20 hours to work with no symptoms exhibited prior to death, then each bottle must have its own individual tester to meet the 24hour time constraint. You don't have enough prisoners to test all the bottles and odds are that the prisoners executions will be part of the celebration entertainment. Obviously someone besides the prisoners is going to be needed to complete the testing. After asking for volunteers, the ruler will most likely turn to his ample supply of slaves and persons such as wives he is tired of, mother-in-laws, irritating relatives etc. The show must go on.