This is a bit different than usual, hopefully you guys don't mind: You are trading Euros and Bitcoins (E and B for the purposes of this problem). Using your time machine you have found out the forex rates for the next n days. Let the price of 1B in E for day a be pₐ, where 0 < pₐ < 1 and a <= n.
Every day you can decide if you want to trade all your E to B or all your B to E. If you start with 10E, what is the maximum amount of E you can have after n days? Note: to convert B->E you multiply by p, and E->B you divide by p. Because I'm asking for a general method, and there are many of them (some trivial), I encourage everyone to try to post the most computationally efficient solution they can find and to try to beat the current best. I will not consider trying every possible combination (or any solution that is computationally less efficient than it) a valid solution for the sake of the puzzle not being immediately solved. Have fun!
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