Function kmf(x,y) is the minimum number of moves for a knight to move x units to the right and y units forward.

(1) Find kmf(x,y) for non-negative integer values of x and y from 0 to 7.
(2) Can you find an expression for kmf(x,y) in terms of x and y?

Notes:
Assume this is an infinite chess board so there are no edge-of-the-board boundary issues.
To avoid duplication, ignore cases where y is less than x.

Shuffle | Rating: 4.75
Posted on 2009-01-09 by brianjn (Solution Posted, 7 Comments)

The missing piece (chess) | Rating: 4.00
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Final Scores at the PrimeBowl |
Posted on 2007-11-28 by Dej Mar (Solution Posted, 10 Comments)

Disarray - Anarchy At the White Court | Rating: 5.00
Posted on 2007-10-19 by brianjn (Solution Posted, 18 Comments)

Greater Than Game | Rating: 3.33
Posted on 2007-04-24 by Brian Smith (No Solution Yet, 4 Comments)

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Lego query | Rating: 3.25
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Eight Gates | Rating: 4.33
Posted on 2006-09-29 by Federico Kereki (Solution Posted, 4 Comments)