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Best Answer Prime, 07 November 2013 - 08:48 AM

Spoiler for I see the probability for equal speed as
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#11 dgreening

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Posted 12 November 2013 - 07:47 PM

Thoughts on the 3x case

 

Spoiler for

Edited by dgreening, 12 November 2013 - 07:47 PM.

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#12 Prime

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Posted 12 November 2013 - 11:50 PM

To solve an unequal speed case, I feel a need for some disambiguation of the OP.

1). Moving 3 times faster does not mean moving in 3-square straight segments at a time. George still can zigzag in 1-squre steps.

2). Collision occurs whenever George and Lennie are found anywhere inside the same square at the same time.

Spoiler for 3 times faster


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Past prime, actually.


#13 bonanova

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Posted 18 November 2013 - 08:35 AM

I suspect John Steinbeck and Robert Burns are lurking somewhere nearby. ;)

 

Spoiler for My take


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#14 Prime

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Posted 18 November 2013 - 09:49 PM

I suspect John Steinbeck and Robert Burns are lurking somewhere nearby. ;)

 

Spoiler for My take

The corners of the board are dots. George and Lennie have square bottoms exactly equal in size to a board square. They move from one square to another by sliding in a straight line until the entire square is covered with their bottom. This way whenever they are moving into the same square, the collision is unavoidable.

Spoiler for Different perspectives, same solution


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Past prime, actually.


#15 BMAD

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Posted 19 November 2013 - 05:40 AM

Spoiler for Question for BMAD

 

depends on the quality of the gun. :D


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#16 bonanova

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Posted 19 November 2013 - 08:30 AM

 

Spoiler for Question for BMAD

 

depends on the quality of the gun. :D

 

 

Were the names not taken from "Of Mice and Men"?


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#17 BMAD

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Posted 20 November 2013 - 03:38 PM

Yes.  I saw the movie on cable recently.  Read the book many years ago.


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#18 BMAD

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Posted 20 November 2013 - 03:40 PM

I was referring to quality in the sense that they were poor and in the 1930's, and though i don't know my guns that well, assume that they may not have had the best access to a quality gun especially since they were broke.


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#19 bonanova

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Posted 20 November 2013 - 08:21 PM

My son teaches HS English and suggested that I forced me to read the book.
I have indelible images of George and Lenny, ones that seeing the movie did not erase.

BTW, which grid were you inquiring about? The 8x8 moves, or 7x7 moves?
The 8x8-move case actually appeared here a while back, so I already had the solution.
I wasn't going to post it until I saw that no one else did.
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- Bertrand Russell

#20 BMAD

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Posted 20 November 2013 - 11:02 PM

I actually wanted an N x N grid but since the picture specifically references a grid, i just let the group go with that.


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