Re: MathsBombe

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Sujet : Re: MathsBombe
De : rjh (at) *nospam* cpax.org.uk (Richard Heathfield)
Groupes : rec.puzzles
Date : 09. Feb 2025, 16:03:14
Autres entêtes
Organisation : Fix this later
Message-ID : <voag3i$lr1v$4@dont-email.me>
References : 1 2 3 4
User-Agent : Mozilla Thunderbird
On 09/02/2025 11:57, Mike Terry wrote:
<snip>

And what does "any positive integer" mean? Does it, for example, include bloodybignumber? If so, how about bloodybignumber factorial?
 That's surely easy - it means any positive integer, integers being whole number like 1,2,3,4,... There is no limit to how big integers get!  Also there's no limit to how big the coin values x^k get as k grows.
But these are actual minted coins, so there must be a finite number of them, yes? Or does the government mint new coins for every transaction? Really?

>
I don't care enough, I'm afraid, but if I *did*, then having resolved those dilemmae, I would probably look at brute forcing a few thousand candidate x's (3.0000, 3.0001, 3.0002, 3.0003 etc) and then try to spot a pattern.
 That seems like a dead end - you will just be plagued by issues of rounding errors.  You are not "seeing the problem" in the right way :)
But the right answer is expressed to 4dp when submitted.

I would also look for tricks, eg i. >
 i is not greater than 3.3, and neither is 4i etc..  x > 3.3 entails x being a real number...
3.3i then, or whatever. Besides, it was just an aside.

I have not yet attempted to solve the problem, but as a BIG starter, if x were transcendental (like Pi), how could 15 be paid...?
Presumably we're looking at a variation of e^i.pi = -1
But let us say that you can pay 15 with your x, whatever it might turn out to be, we then have to show that you can WITH THE SAME X pay 15!, 15!!, 15!!! etc - using no more than 14 coins of any denomination.
I'm still not finding it plausible.
--
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

Date Sujet#  Auteur
19 Jan 25 * MathsBombe23David Entwistle
9 Feb 25 `* Re: MathsBombe22David Entwistle
9 Feb 25  +* Re: MathsBombe6Richard Heathfield
9 Feb 25  i+* Re: MathsBombe4Mike Terry
9 Feb 25  ii`* Re: MathsBombe3Richard Heathfield
9 Feb 25  ii `* Re: MathsBombe2Mike Terry
10 Feb 25  ii  `- Re: MathsBombe1Richard Heathfield
11 Feb 25  i`- Re: MathsBombe1Richard Tobin
9 Feb 25  +- Re: MathsBombe1David Entwistle
10 Feb 25  `* Re: MathsBombe14Richard Tobin
10 Feb 25   +- Re: MathsBombe1Richard Heathfield
10 Feb 25   `* Re: MathsBombe - observations but not the answer12Richard Tobin
11 Feb 25    +* Re: MathsBombe - observations but not the answer4David Entwistle
11 Feb 25    i`* Re: MathsBombe - observations but not the answer3Richard Tobin
11 Feb 25    i `* Re: MathsBombe - observations but not the answer2David Entwistle
19 Feb 25    i  `- Re: MathsBombe - observations but not the answer1David Entwistle
20 Feb 25    `* Re: MathsBombe - observations but not the answer7David Entwistle
20 Feb 25     `* Re: MathsBombe - observations but not the answer6David Entwistle
20 Feb 25      +* Re: MathsBombe - observations but not the answer2Richard Tobin
20 Feb 25      i`- Re: MathsBombe - observations but not the answer1David Entwistle
20 Feb 25      `* Re: MathsBombe - observations but not the answer3Mike Terry
20 Feb 25       `* Re: MathsBombe - observations but not the answer2Richard Tobin
21 Feb 25        `- Re: MathsBombe - observations but not the answer1Mike Terry

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