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Yes, the answer to the locker problem is all the square numbers. What this means, really, is that square numbers are the numbers that have duplicate divisors, and so end up with an odd number of toggles.
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22-Feb-2012, 12:18 PM
(This post was last modified: 22-Feb-2012, 12:22 PM by rockdet.)
Pretty much. We used to love fooling around with those at college
Also, I remember solving that problem last semester in my class
Hello'v'ryone's'is' rockdet Ænigma Mælström (any word with æ because it's funny), master of non sequitur buckets!
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Hey, if you REALLY want to mess around, here's my favorite totally unnecessary math problem:
"Bad news, bad news came to me where I sleep / Turn turn turn again" - Bob Dylan
Oh my.
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You like math aye?
Here are enough weather related formulas to keep you busy for a long time.
Know how to convert degrees F (T<sub>F</sub>) and degrees C (T<sub>C</sub>) to kelvin (T<sub>K</sub>).
http://www.aprweathe.../pages/calc.htm
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Actually, C and K are the same, except for the offset, so that's pretty simple.
My favorite process for going between C and F (and back) is the -40 rule. -40C = -40F. So, no matter what you start with, the three steps are:
1. Add 40
2. Convert units
3. Subtract 40
It is by far the easiest and it is exact. In the Midnight Oil song he says "The Western Desert lives and breathes at 45 degrees". Well that means nothing to me, so I add 40 (85), change units (85 * 9 / 5 = 17 * 9 = 153), subtract 40 is 113 degrees F. DAMN that's hot!
"Bad news, bad news came to me where I sleep / Turn turn turn again" - Bob Dylan
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Quote:Problem: Break a 40 kg weight into 4 pieces such that those pieces can then be used to measure any (integer) weight from 1 to 40 kg using a balance.
Solution uses balanced ternary (digits: -1, 0, +1).
- Madhav.
Sorry to spoil this for others (not really!), but powers of three is the answer. You have to use a balance, of course, to do the measuring.
Nice problem, since there isn't really an equivalent in other bases.
"Bad news, bad news came to me where I sleep / Turn turn turn again" - Bob Dylan
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Also, just pointing out that I have 600 posts, which is twice the title of this topic.
I like those maths.
Hello'v'ryone's'is' rockdet Ænigma Mælström (any word with æ because it's funny), master of non sequitur buckets!
My YouTube Channel
Rock-Alpha(It's a great game, Bill) 65 levels, including "Voices" and the world-infamous famous "Bloblake"!
Rock-Beta (You should try it, Bill) 50 levels, including "Unicorn Rabbit" and "The Sedna Suite" odyssey!
Rock-Gamma (Woah, really, Bill?!) 40 levels, including "Uncle duo ha ha ha ha ha" and many other surprises and what the actual f*** moments!
"We are after all in the future, where the past is king and the paste is ming." -raocow
Posts: 1,531
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Quote:Also, just pointing out that I have 600 posts, which is twice the title of this topic.
I like those maths.
Perhaps it is you who needs to buy a life??
"Bad news, bad news came to me where I sleep / Turn turn turn again" - Bob Dylan
Quote:My favorite process for going between C and F (and back) is the -40 rule.
I've never had a problem with the "multiply by 9/5, add 32" rule. Actually, I never heard of the -40 rule before...seems a bit inconvenient, with the extra step and all.
Quote:In Jr. High School, I would take a gummi bear, squeeze its ears into points so it looked like Yoda, and then I would say to it "Eat you, I will!". And of course then I would it eat.
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