Euler Piruleta
was once a rascal and he didn’t manage to obtain his ESO degree. Now he has
been threatened that he will be expelled of Matfor if he doesn’t pass the only
exam he failed that time: Similarity and Trigonometry!

Since this is now
your area of expertise, can you help Euler to solve this problem?

How far do we
have to place a 2€ coin from our
eye to completely cover the Moon? The information
below is everything you will need to solve it:

-Moon’s Diameter: 3476 Km

-Distance Moon-Earth: 384.000 Km

-Coin’s Diameter: 28 mm

Tip: you know how this works… draw the situation
described and you will be able to solve the problem! :D

You will get 20 coins if you send the right answer and 20 extra coins if you explain how you got the code!

PS: Cesar Romero and TaniaPopcorn have received 40 coins and TheHeadhunter 20 for the solution of the previous challenge! This is a song I've been particularly enjoying these days...

Euler Piruleta
feels exhausted after those past two ordeals he went through (the zombies and
all that stuff). Luckily enough for him, he had a great Christmas time with his
family (some strange fellows though). His grandfather
knows he keeps risking his life to help the people of Maftor, so he decided to
give him his invisibility cloak he once had stolen from Harry Potter.

Everything seems
quite straightforward so far, but Euler’s grandfather is some sort of a joker
and thus he set a lock in the magic box. Euler must get the code to open it if
he wants to retrieve the invisibility cloak trapped inside!

The code is
formed by the 10 numbers which
should be written in the sentence below in such way that it makes sense
(including the numbers written in the gaps!)

In this sentence the number of times the 0 appears is ___ , the 1 is ___ , the 2 is ___ , the 3 is ___ , the 4 is ___ , the 5 is ___ , the 6 is ___ ,

the 7 is ___ , the 8 is ___ and the 9 is ___ .

That is, you have
to complete those 10 gaps using numbers from 0 to 9 (which can be repeated) to
get a coherent sentence. For example, if you use only the number 1:

In this sentence the number of times the 0 appears is 1 ,

the 1 is 9 , the 2 is 1 , the 3 is 1 , the 4 is 1 , the 5 is 1 ,

the 6 is 1 , the 7 is 1 , the 8 is 1 and the 9 is 1 .

It would be wrong
because you can find 2 numbers 9
in the sentence and not 1!!

Help poor Euler
to get his invisibility cloak!!

You will get 20 coins if you send the right answer and 20 extra coins if you explain how you got the code!

PS: Jorge Stark, Cesar Romero, Popcorn and Headhunter have received 40 extra coins thanks to the last challenge!

Palanquilla's Song: You probably don't know who Leonard Cohen is and I guess you will not like his music (but you will in the forseeable future, trust me). Anyway, if you play this song and wait to the position 04:26 you'll hear Palanquilla's fake laughter.