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# Quantum.Mechanic

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1. ## 4 letters => 6 words

I've previously written a nice word puzzle script, which takes in a huge list of words, and creates a list of anagram "siblings". One of the special functions is to find, for each word length, the largest anagram set of siblings.

3. ## Senseless promotions? Or, the wisdom of the tea people

Yes, thanks very much. I got lost trying to do this myself, but "it's obvious in hindsight", as they say.
4. ## Senseless promotions? Or, the wisdom of the tea people

I must be thick today, I can't follow the given solution. Can someone paste a little bit more hand holding? Like the first 5 values in the sequence?

7. ## Who can go the lowest?

Since the integer requirement, there haven't been any replies, so I'll go with an obvious, and not-likely-to-be-optimal one.

9. ## Probability of selecting two blue discs back to back

OK, I thought that would be a good little puzzle program to write. I'm sure there's an easier way to figure this on paper though, waiting for y'all to clue me in. The first few elements led me to the following:
10. ## Half as old as my brother

Are we assuming a mammalian birth process? Then splitting is in utero, and age origin is time of birth. When in Thailand...
11. ## Relatively prime

Just for fun, I programmed up a little script. Using a suitable underlying GMP library for Euler's totient function, it checked up to 10 million in 13 seconds, with a result of 60.793% distinct pairs relatively prime.
12. ## dice problem

Maximum sum, or highest numbered side?

15. ## The army of ants

I saw this puzzle in the same Peter Winkler book I mentioned elsewhere.
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