Did you ever hear about gravity?

Your solution is good, but it isn't the smallest. There one which is 5 orders of magnitude smaller.

You should try to make more optimizations like the one you did for 128. By the way: A good solution won't run more than a few minutes.

No. This is not only because this is a math contest, but also because your result is not 100% exact.

@rollthedice

I will add you to the list.

I will give you a hint regarding the taylor expansion: You can first find the taylor expansion of e^x and then divide this taylor expansion by x. Then you already have a part of the taylor series and only

1: 2 and 4 2: 8 and 16

Actually it's not too hard to type if you adjust your keyboard layout a bit. I put Δ on "alt gr"+"shift"+"d" which isn't too hard to press when typing.

Ask google and you will find whatever you want to find, no matter if it is true or not.

lumberjack

9 and 27

In my simulation it makes one round. It seems I took the worst example I could possibly take :( The difference between your g = 9.81 m/s² and the real average g = 9.80665 m/s² decides wether it succeeds

You should be careful with degrees and radians. Your whole program works with degrees EXCEPT the numpy.sin(x) function which only accepts radians. So I think you just need to replace 360° with 2π everywhere.

lumberjack

You can use \* and markdown won't make it italic.

Actually I want you try to find the log of complex numbers yourself. It isn't that hard when you keep euler's formula in mind: e^x+iy = e^x *(cos(y)+i*sin(y))

8 and 32

I think there also should be an option to have it powered up forever.

How can having more short term investors who try to squeeze as much value as they can out of the steem until they leave at the first sign of trouble(thus intensifying every price drop) in any way aid the