Happy New Year!

[pier4r]

Happy new year! 2017 for me me was, well, for something not bad (we got listExt!), for something else not good.

Of the myriads of problems that one can create out of any number, I cannot think of one! Damn me!

Ah no, found one (maybe).

sqrt(2018) . Find a fraction that better approximates this number. Where better: the smallest |x-sqrt(2018)|.
Caveat: Only 10 digits (even repeated) to share among all the numbers!

For example 355/113 is an approximation of PI and uses 6 digits.

Please share your result (and program/procedure) with spoilers. Like

Code:


This is a way to write spoilers











here the real message. An hug for all of you!

2nd little problem.

Take the factors of 2018, apply the square root on each of them, sum the square roots. Then you have a number. Approximate even this number with a fraction. Max 10 digits as well.