Third Challenge

I would never understand why you are so daunted by fractions... :P What would we do without them??

Anyway, congratulations to Marina, Verónica, Jorge, Xabier, Iván and Tania; you all deserve a Challenge Possitive Extra Point :D

It wasn't that difficult, was it?

a) $0,\widehat{6}+0,\widehat{3}= \frac{6}{9} + \frac{3}{9} = 1$

b)
$$\left(1-\frac{1}{2}\right) \cdot \left( 1-\frac{1}{3} \right) \cdot \left( 1- \frac{1}{4} \right) \cdot \left( 1 - \frac{1}{5} \right) \cdots \left( 1 - \frac{1}{999} \right) \cdot \left( 1 - \frac{1}{1000} \right) = \\ \frac{1}{2} \cdot \frac{2}{3} \cdot \frac{3}{4} \cdot \frac{4}{5} \cdots \frac{998}{999} \cdot \frac{999}{1000} = \frac{1}{1000}$$

New Challenge: Romeo and Juliet

These two snails are Romeo and Juliet. Juliet has been waiting in her balcony for her lover‘s arrival, but Romeo has just had dinner and he has truly forgotten the number of Juliet’s house. Every square represents one house (64 in all, including Romeo’s and Juliet’s) and the passionate lover will visit every single house one time and one time only before reaching to Juliet.

You must try to help him to find his way but be careful… he is only allowed to move upwards, downwards, to the left, to the right and diagonally.

One more thing: You are only entitled to use up to 20 straight lines… it seems our little fellow is not keen at all about turning on corners…

The procedure is the same as always: send me an e-mail with the solution and post a comment to this entry. This challenge's deadline is October the 22th. Ony the first 10 valid solutions will get a positive!! Don't miss the chance!

Printable version HERE!

Tip: The best way to try to solve this is copying the image to gimp, paint or a similar software and draw the lines over it.

Thanks to Maria, I have been thinking about the music groups which were beyond famous when I was your age, so I have decided to post here 4 songs that really made an impact in the life of every teenager boy/girl in the mid 90's.... :P You'll notice how times have changed!! XD