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* * * * - 1 votes

Amoeba evacuation puzzle


Best Answer Anza Power, 07 December 2012 - 06:53 PM

Good and quick solve, it's not possible to evacuate the area.


Yeah I think that is correct, here's why:

Spoiler for
Go to the full post


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9 replies to this topic

#1 Rainman

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Posted 29 November 2012 - 11:01 PM

An amoeba is sitting on the bottom left square (A1) of a chessboard which extends infinitely upwards and to the right. You can make an amoeba split into two. If an amoeba is split into two, its offspring will take the square directly above and the square directly to the right of the parent amoeba. This vacates the square of the parent amoeba. So your first move, splitting the amoeba on A1, will put one amoeba on A2 and one amoeba on B1. An amoeba can only split if both spaces for its offspring are unoccupied. Your objective is for all the amoebas to evacuate the area A1, A2, A3, B1, B2, B3, C1, and C2. (Squares marked with x in drawing below)

...........
oooooooo...
oooooooo...
xxoooooo...
xxxooooo...
xxxooooo...
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#2 EventHorizon

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Posted 30 November 2012 - 02:25 AM

Spoiler for Initial thoughts


Spoiler for Example 1


Spoiler for Example 2

Example 2 is not looking good. Perhaps it is unsolvable....

Spoiler for Looks like I was wrong in my initial thoughts...

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#3 phil1882

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Posted 30 November 2012 - 03:23 AM

Spoiler for

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#4 EventHorizon

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Posted 30 November 2012 - 03:32 AM

Looks like I misunderstood the initial configuration.

I assumed the x's were already amoeba and not just space to vacate.

Spoiler for but...

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#5 EventHorizon

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Posted 30 November 2012 - 03:40 AM

Spoiler for

Spoiler for You can't get there from here...

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#6 EventHorizon

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Posted 30 November 2012 - 04:37 AM

Spoiler for What area can you vacate?

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#7 Rainman

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Posted 30 November 2012 - 09:55 PM

Good and quick solve, it's not possible to evacuate the area.
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#8 Anza Power

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Posted 01 December 2012 - 01:27 PM

Interesting puzzle, I have implemented it in HTML/Javascript:

http://anzapower.web...moeba/game.html

It's not as easy as I expected...
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#9 Anza Power

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Posted 07 December 2012 - 06:53 PM   Best Answer

Good and quick solve, it's not possible to evacuate the area.


Yeah I think that is correct, here's why:

Spoiler for

Edited by Anza Power, 07 December 2012 - 06:54 PM.

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#10 Rainman

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Posted 08 December 2012 - 01:18 AM

Yeah I think that is correct, here's why:

Spoiler for

 

That's the solution I had in mind for the problem, well done. I also enjoyed your javascript implementation of the problem.


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