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April 4th, 2009, 09:53 AM   #1
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Find the minimum number of Moves

We have a circle with center (0,0) and with radius 10.

Now we have a limited set of moves possible e.g (2,1),(0,2) etc.

Now using these moves we need to reach peripheral of Circle. But we need to make sure that we move very minimum.

Just for an example We have a circle of radius 20 at center (0,0)

Now we have these possible moves.

(2,0) (0,2) and (2,1)

Now let me know how many number of minimum moves you would require to reach at peripheral of center.
Check the image.
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April 4th, 2009, 12:05 PM   #2
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In your diagram, the minimum number of moves is already illustrated (assuming no move may take you beyond the perimeter). Do you want a general procedure of some kind or just solutions for particular cases?
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April 5th, 2009, 02:06 PM   #3
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Re: Find the minimum number of Moves

Well, as a quick general idea, total distances is what you're looking for. (2,0) and (0,2) both of a total distance traveled of 2, but (2,1) has a total distance traveled of

So, use (2,1) until you are on the same value ( for instance, you were on the value x = 16 in the picture ) as the point you're looking for. This will maximize the total distance traveled.
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