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        riddles >> easy >> magic 100
        
(Message started by: Noke Lieu on Apr 28^th, 2004, 9:44pm)

Title: magic 100
Post by Noke Lieu on Apr 28^th, 2004, 9:44pm

Okay, its similar to magic 19. Probably a bit easier.
besides, I can actually go to my boss with these to show I'm working! Great job...

Numbers 1-24
Each Octogon has a total of 100. Square in the middle has 50.

(haven't figured this bit out yet...)
How many magic totals (T) where square has total T/2?

Title: Re: magic 100
Post by Noke Lieu on Apr 29^th, 2004, 8:19pm

actually, I'm struggling with the second part. Oh, for ANY programming knowledge (other than my VCR) :-/

Title: Re: magic 100
Post by Noke Lieu on Feb 6^th, 2005, 8:42pm

Thought I might revive this before it slides into oblivion.

Title: Re: magic 100
Post by John_Gaughan on Feb 7^th, 2005, 5:37am

Any hints?

Title: Re: magic 100
Post by Noke Lieu on Feb 8^th, 2005, 6:16pm

Depends what you're after, and where your skills lie. For programming, no. I can't provide hints. I don't have the skills myself.
For brute force mixed with a tad of reasoning, yeah that's my forte. (pen... paper... lets go) The best one/most obvious one would be print out the picture. Tear 24 bits of paper, number them; slide them around. Start at the middle, probably ;)

Title: Re: magic 100
Post by towr on Feb 9^th, 2005, 12:39am

Well, all the rings together add up to 450, and all the numbers added up together to 300. You can do something with that as a hint.

Title: Re: magic 100
Post by Noke Lieu on Feb 9^th, 2005, 5:36pm

good point. Check out the immaculation dissection of magic nineteen (http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_easy;action=display;num=1082687152;start=17)

Title: Re: magic 100
Post by Grimbal on Feb 10^th, 2005, 1:46am

Actually, there are 5 equation and 24 unknowns. That can not be so hard, except that they must be all different.

Here is a solution for T=100.
::[hide]
__ 18 __ 17 __ 01 __ 02 __
08 __ __ __ 16 __ __ __ 24
__ __ __ __ __ __ __ __ __
07 __ __ __ 11 __ __ __ 23
__ 10 __ 13 __ 14 __ 09 __
19 __ __ __ 12 __ __ __ 03
__ __ __ __ __ __ __ __ __
20 __ __ __ 15 __ __ __ 04
__ 06 __ 05 __ 21 __ 22 __[/hide]::

Title: Re: magic 100
Post by THUDandBLUNDER on Feb 10^th, 2005, 8:26am

Quote:

Actually, there are 5 equation That can not be so hard, except that they must be all different.

...and consecutive, beginning with 1
Hence, there are 6 equations.
SIGMA a to x = 300