Follando Famosas Mexicana

C-The piano giant

The 7 th challenge of the Royal English Mathematical Society presented in the newspaper "El País" goes over the keys of a piano. Here you can see the problem statement, both video and statement.
is a piano in which they are pressing a few keys following a series of numbers. Do you press, then Re, and pulse skip a Fa, skip two, and so on.
The questions are very simple and refer to when we hold 7000 notes:
1. How many keys we will have played under a C note?
2. Are there any notes that have not been down in no time?
The answer must be send before from 12 pm today. I read on Thursday and, for ghosts, I would say it took 5 minutes to find the solution as far congruence and I found it easy to find a pattern.
I leave it on if you want to copy and send.

My proposed solution is:
We believe that there are 7 notes, which we number from 1 to 7 (OD = 1, RE = 2, MI = 3, FA = 4, G = 5, LA = 6, SI = 7). As a cycle of 7 notes, the key will match the 8 th 1 st, 9 th to the 2 nd and so on. We work with congruences in module 7.

T1 = 1 T2 = T1 +1 = 2
T2 T3 = T4
+2 = 4 +3 = 7 = T3 = T4 T5
+4 = 11 = 4 -> For the 11 th note coincides with the 4 th note
T6 = T5 +5 = 9 = 2 -> For the 9 th note coincides with the 2 nd note
T7 = T6 +6 = 8 = 1 -> For the 8 th note coincides with the 1 st note
T8 = T7 = T7 +7 +0 (Because 7 keys to scroll is not moving as any since it is the same grade) = 1
T9 = T8 = T8 +8 +1 = 2
...
is noted that a cycle of repeated notes in 7 keys. This is because it is congruent modulo 7 +4 to -3, -2 and +5 to +6 to -1.
note then that the notes would be DO, RE, FA, IF, FA, RE, DO, DO, RE, FA, SI, ...
Replies: 1.How
each cycle of 7 keys pressed 2 times the note of, in 7000 will pulse 2000 times. 2.The
notes never would strike would not MI, SOL, LA.

I hope you serve at least for curiosity's sake it is not normally a problem as mathematical puzzle.

Words Gerard Way Writes On Himself

D-League clubs 1 st Division: Meeting Alcorcón

We're back from the 1100 kms. Alcorcón travel. In short, my team was third, so it touches fight to avoid relegation. I already knew this because whenever we were participated in the second half. My position, a dishonorable 5 º with my second personal best, 24:47. It is disgraceful
of the entire competition because I was behind my teammate and later on the last lap to go before him. Has an explanation and, as you deserve an explanation, I'm going to give. I was strong, so I wanted to go behind the top 5 who went for 23 minutes. I had already decided I was going with my friend Sebastian because better control the pace, so I held it I could behind him holding up very good pace, a little below 5 km. In the absence of 1 km and some, one of the predecessors of Oviedo had 2 cards. I thought go for because I knew I could not force, but he was fired. In the absence of a return I saw that we could improve my mark, so I told Sebastian that threw me. I stood right in front without changing very fast pace so that I could continue, but in the end, and I beat the mark of 24:42 and let him go at the end as I intended, so I've been like if I had taken advantage of it to beat the final. Dishonorable.
In testing there were two judges who knew me, one of which Javier de la Fuente, with whom I talked for a while since you have 2 children, walkers and is friends with Prieto. It was the first to be heard in Spain of the world record in Ghent. Another judge also asked me if I was the blog, this time they had said Maroto. We see that the judges are happy to respect their work because I only lost once advised to contact (I'm becoming a low-flying unconsciously). For the next league
we face in Tenerife Pepe Fernandez, Toro and Bidasoa Wine At. Murcia is discarded as the venue because the streets are deteriorating paint (I vote for him Titanlux layer, but not school) and as 3 teams go to the Canaries is a bit expensive, I think we will travel to Toro or Irun. The plane is a bad combination, so I beat car smell. This counting
not recover my fellow July sprain and that I would rather go to Olhao to see Prieto 50. And the vote and will have to be in the mail.