- #WHAT IS THE MOST UNKNOWN RIDDLE IN THE WORLD HOW TO#
- #WHAT IS THE MOST UNKNOWN RIDDLE IN THE WORLD FREE#
Now take the average of all them, and you'll have an empirical average which is close to the theoretical one. Afterwards you should have an array of 100 numbers. But if you haven't learned about stuff like that, a much simpler way is to just program your solution and run it maybe 100 times, recording how many days elapsed in each invocation.
#WHAT IS THE MOST UNKNOWN RIDDLE IN THE WORLD HOW TO#
Note 2: ( 3:49PM Update) How to compute average running time? The preferred method is to do a probabilistic analysis using pencil and paper. If you get a number around 27-28 years, then you've found the solution most people who solve the puzzle come up with. So BEFORE YOU E-MAIL ME YOUR SOLUTION, check its average time to see if beats the 4000 day ballpark. The number to beat so far is around 3500 days. So the best we can do in the meantime is try to beat the best average running time we know of. This is usually very hard to do though, and I would be surprised if anyone ever sends me such a proof. Note 1: ( 3:51PM Update) What is meant by optimal? If your solution is optimal, it means you can prove that no other algorithm can produce a lower average running time. What is the optimal plan they can agree on, so that eventually, someone will make a correct assertion?
Thus, the assertion should only be made if the prisoner is 100% certain of its validity.īefore this whole procedure begins, the prisoners are allowed to get together in the courtyard to discuss a plan.
#WHAT IS THE MOST UNKNOWN RIDDLE IN THE WORLD FREE#
However, if it is indeed true, all prisoners are set free and inducted into MENSA, since the world can always use more smart people. If this assertion is false (that is, some prisoners still haven't been to the living room), all 100 prisoners will be shot for their stupidity. Also, the prisoner has the option of asserting the claim that all 100 prisoners have been to the living room. While in the living room, the prisoner can toggle the bulb if he or she wishes. Each day, the warden picks a prisoner equally at random, and that prisoner visits the central living room at the end of the day the prisoner is returned to his cell. No prisoner can see the light bulb from his or her own cell. There's a central living room with one light bulb theīulb is initially off. How many prisoners found their doors open after 100 rounds?ġ00 prisoners are imprisoned in solitary cells. In the 3rd round he visits every 3rd door (3,6,9-)Īnd if the door is shut he opens it, if it is open he shuts it. In his second round he visits every 2ndĭoor (2,4,6-) and shuts the door. One night the jailor gets drunk and starts running around the jail inĬircles. Each cell has an inmate and theĭoor is locked. There is a circular jail with 100 cells numbered 1-100. The theory of relativity or any other over complicated nonsense like that. Also, the solution has nothing to do with Note: For both Sheila and He-Man, these birthday celebrations happen on the actual birthdayĭate - it cannot be a celebration that occurs at a date earlier or later than the actualīirthday date for whatever reasons of convenience. 3:58AM Bonus: What is the maximum amount of time by which Sheila and He-Man can be apart in their birthday celebrations during the same year? I think it's more than two days.
One year in the course of their lives, Sheila celebrates her birthday two days AFTER Assume they were born immediatelyĪfter each other, an infinitesimally small - but nonzero - amount of time apart. Sheila and He-Man are twins Sheila is the OLDER twin. Is poisoned, and will still be able to drink the rest of the wine in 5 weeks time. Rather than using 1000 prisoners each assigned to a particularīottle, this king knows that he needs to murder no more than 10 prisoners to figure out what bottle The king decides he will get some of his prisoners in The effects of the poison take one month to surface. Is so potent that even if it was diluted 1,000,000 times, it would still be fatal.
The guards don't know which bottle was poisoned, but they do know that the poison The king's guards catch the servant after he has only poisoned oneīottle. A neighboring queen plots to kill the bad king, and sends a servant to poison the wine. Latest additions to cover site can be seen by clicking here.Īn evil king has 1000 bottles of wine. RECENT ADDITIONS Check out latest puzzles by perusing the forum and the 10 most recent posts. Thousands of posts by really clever people. Want to test-drive a new riddle of your own? I don't know the solution to this problem myself. Needs math past arithmetic and basic probability. Page last modified Friday, 1 19:30:38 PST
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