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Guest Message by DevFuse
 

mathmagician

Member Since 07 May 2012
Offline Last Active Feb 28 2013 06:47 PM
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Posts I've Made

In Topic: Blind man's jigsaw puzzle

22 February 2013 - 04:56 PM

Below are closed-form expressions for 1xn and 2xn cases

 

Spoiler for Some simple cases

In Topic: Blind man's jigsaw puzzle

08 February 2013 - 01:22 AM

Spoiler for Answer

Technically, you're right.  What i mean to ask though is how many times will he pick up a piece.

Note: When a piece does not fit, he puts it back into the pile and may pick it up again immediately.  If so, it still counts as picking up another piece.

 

The solution I found is recursive.  I have closed forms for m=1 and m=2.  I'm still working on generalizing it. 


In Topic: Expected value?

06 February 2013 - 01:30 AM

Spoiler for This should answer it

I keep coming up with the same answer using the exact same math, but when I simulate it on the computer, it takes greater that 2.25 steps for r=1.5m (takes about 3.5 steps) and greater than 9 steps for r=3m (takes about 11.4 steps).


In Topic: Math Equation Puzzle

07 May 2012 - 07:40 PM

Spoiler for my three integer solution


there are three non-integer solutions, but as they require cube roots, I am to lazy to post them.