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The mouse hunt Games puzzles  Weight: 4 Liked the puzzle: 100% 11.01.2010
A smart cat named Leopold is hunting a mouse. A mouse is hiding in one of five holes arranged in a row. Leopold can reach into one of the holes and try to catch the mouse. If he is not successful, the scared mouse runs into a right/left neighboring hole. Is it guaranteed that Leopold will catch the mouse? If so, what should he do?
Comments:   10 check your solution  

Please do not post comments containing clues, hints, or anything that might be considered as a hint to others. All such comments will be deleted. If you have a question, you can contact a moderator by clicking the button "Submit your solution".

idler_
 
Rating: 106
Group: Moderators
2011-01-28 19:39:34
Reserved.
lidSpelunker
 
Rating: 53
Group: Members
2011-02-10 17:42:52
Does this mean that Leopold does not know which hole the mouse is in and if he picks a wrong hole, the mouse will run into a neighboring (right or left) hole?
denisR
 
Rating: 236
Group: Moderators
2011-02-11 11:27:26
lidSpelunker 2011-02-10 17:42:52
Does this mean that Leopold does not know which hole the mouse is in and if he picks a wrong hole, the mouse will run into a neighboring (right or left) hole?
Exactly
zzz123
 
Rating: 72
Group: Members
2011-03-18 06:50:18
which neighboring hole does the mouse pick (when it has a choice)? a random one? based on some algorithm (e.g. farthest from the cat)? something else?
alan
 
Rating: 231
Group: Moderators
2011-03-18 08:59:57
zzz123 2011-03-18 06:50:18
which neighboring hole does the mouse pick (when it has a choice)? a random one? based on some algorithm (e.g. farthest from the cat)? something else?

Nobody knows.
zzz123
 
Rating: 72
Group: Members
2011-03-20 19:36:20
er, wait...
1) Leopold reaches into any random hole C
2) mouse runs from hole A to hole B
3) Leopold reaches into hole B and catches the mouse.

this seems overly trivial... so some answers to clarify.
a) how is success determined (i.e. just picking the right hole, or in another fashion)?
b) are the holes connected internally in some fashion? (so that the mouse is not necessarily in the hole into which he ran)
c) can the mouse be caught in transit (i.e. while running from hole A to hole B), or are we only allowed to reach into the hole?
d) can we see the mouse heading from one hole into another, or tell anything about which hole it was in or is moving into?
mbloomfi
 
Rating: 97
Group: Members
2012-01-17 07:08:14
here's my interpretation:

there are 5 holes, labeled 1-5.

One of them contains a mouse, call that hole x.

if you guess hole x, you win. if you don't, the mouse moves to hole x +/- 1 (assume it's random, but restricted by the lower bound of 1 and upper bound of 5) and now you guess again and the process is the same, but "hole x" is the new hole one away from the previous hole.

alan
 
Rating: 231
Group: Moderators
2012-01-19 23:53:28
mbloomfi 2012-01-17 07:08:14
here's my interpretation:

there are 5 holes, labeled 1-5.

One of them contains a mouse, call that hole x.

if you guess hole x, you win. if you don't, the mouse moves to hole x +/- 1 (assume it's random, but restricted by the lower bound of 1 and upper bound of 5) and now you guess again and the process is the same, but "hole x" is the new hole one away from the previous hole.


Yes.
epicmaneuver
 
Rating: 11
Group: Members
2012-04-22 17:21:24
does the mouse run when the paw is in the hole or after the paw has been removed?
alan
 
Rating: 231
Group: Moderators
2012-04-28 16:11:30
epicmaneuver 2012-04-22 17:21:24
does the mouse run when the paw is in the hole or after the paw has been removed?

after
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