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wu :: forums    riddles    hard (Moderators: Eigenray, ThudnBlunder, Grimbal, Icarus, towr, SMQ, william wu)    The 100 cell Jail Riddle « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: The 100 cell Jail Riddle  (Read 2944 times) RiddleGenius Newbie     Posts: 9 The 100 cell Jail Riddle   « on: Feb 23rd, 2008, 12:33pm » Quote Modify I'm not sure of my answer but i think its  10.   here are some examples.... cell one would only get visited once so it would remain open. Cell 9 would get visited 3 times so it would remain open. Cell 16 would get hit 5 times so that one would stay open. Cell 25 is another one that remains open, Cell 36, 49, 64,72,81, 100(1,9,16, 25)= 10 cell , mates free IP Logged Icarus wu::riddles Moderator Uberpuzzler Boldly going where even angels fear to tread.     Gender: Posts: 4863 Re: The 100 cell Jail Riddle   « Reply #1 on: Feb 23rd, 2008, 12:49pm » Quote Modify Those are indeed the cells left open. Do you know what is special about those numbers? It should help make it clear why they work. If not, think divisors.   See towr's reply for corrections. « Last Edit: Feb 23rd, 2008, 12:55pm by Icarus » IP Logged "Pi goes on and on and on ... And e is just as cursed. I wonder: Which is larger When their digits are reversed? " - Anonymous towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: The 100 cell Jail Riddle   « Reply #2 on: Feb 23rd, 2008, 12:53pm » Quote Modify 72 looks a bit of an odd one out amongst the other open cells. And it has an even number of divisers: 1,2,3,4, 6,8,9,12, 18,24,36 and 72 So it should be closed at the end.   There are 10 open cells at the end though. IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Icarus wu::riddles Moderator Uberpuzzler Boldly going where even angels fear to tread.     Gender: Posts: 4863 Re: The 100 cell Jail Riddle   « Reply #3 on: Feb 23rd, 2008, 12:55pm » Quote Modify Heh. I just saw he had some right, and didn't look close enough to notice either the ringer, or the cell he missed. IP Logged "Pi goes on and on and on ... And e is just as cursed. I wonder: Which is larger When their digits are reversed? " - Anonymous RiddleGenius Newbie     Posts: 9 Re: The 100 cell Jail Riddle   « Reply #4 on: Feb 23rd, 2008, 1:12pm » Quote Modify yep its 4, IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium => hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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