Friday, December 02, 2005

Squarely solvable?

Consider N squares of sides 1, 2, 3...N. What is the minimum length of the square that will circumscribe all of these smaller squares?

If you find that to be too easy, extend it to a circle!

(No overlaps allowed)

5 Comments:

Blogger lenscrafter said...

Has nothing to do with the answer, but I thought I'd suggest the use of peek-a-boo comments for improved readability of the blog.

Sat Dec 03, 10:46:00 PM 2005  
Blogger littlecow said...

Done. Thanks for the nice idea.

Sun Dec 04, 04:51:00 AM 2005  
Blogger lenscrafter said...

does there exist an explicit solution to this problem ?

Tue Dec 06, 12:25:00 PM 2005  
Blogger littlecow said...

usually, clues are not provided here unless absolutely necessary. and i will follow the custom with this problem also!

Tue Dec 06, 12:31:00 PM 2005  
Blogger littlecow said...

For a change, a problem was posed for which I do not know of a solution (and I am not sure a solution even exists). The circle problem is a brute force computational problem given in some competition... Meanwhile,
@grenade: how did you reason that it would take exponential time?

Wed Dec 07, 08:13:00 PM 2005  

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