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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?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 the right answer is expressed to 4dp when submitted.>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 :)
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.
3.3i then, or whatever. Besides, it was just an aside.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...
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
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