
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Hi guys! 

here's the *second* round of the **"Oliforum contest**"! You can find rules and problems of first round [here](http://www.mathlinks.ro/Forum/viewtopic.php?t=227127) :lol: . 

i'll try to sum up again all details about it, *please be carefully*. 

**1-** The contest is made of some rounds(I still think 3 in total). 

**2-** Each round is made of only 3 problems, and i will give points 0 to 7: <u>6 for all correct solutions, 7 for **only** elegants and correct solutions</u> (similar to ML contest). 

**3-** It is tought for high-school student, and also for undergraduate or higher student, but *you cannot use non-elementary-theory*, otherwise the solution is invalid (e.g. in the first round someone uses calculus or link at other solutions, please don't do that!)

**4-**All begins from italian-oliforum and the classification is unique (it will be made only of contestant with score  $ > 7$  points ). 

**5-** The second round starts on 12:00 of 4 october and it ends on 24:00 of 5 october, so saturday and sunday. 
**NB.**All times (date and hours) are according to *ROME MERIDIAN (+2GTM), please attention!*

**6-**Enrollment is not necessary, it sufficies to send me solution. 

**7-**I’ll take in consideration time of arriving solutions *only* for the first place *if*there are more full score 21/21 points (as i did in first round). 

**8-** *Way of sending solutions.*
- You need to send solutions to both email address: pao_leo88@hotmail.it and leonettipaolo@gmail.com in a unique pdf file (so, with attachment) of a right size; 
- The pdf file must be written with Latex (or a way that I can understand); 
- You rename the pdf file as your nickname (the same of yours in ML); 
- You need to write nothing in the email; 
- Try to be *clear* in solutions! I’ll estimate it! 

{If *(and only if*) you are not able to create a pdf in latex model, you can send me a email in .doc format with solutions, as latex or in a way that i (and all correctors) can understand}. 

I'll put below this topic the list of problems on the morning of saturday 4 october, at 12:00 (+2GTM).
Later, I'll make a list still below this topic where i'll write all names of who sent me solutions in right way. 

For all doubts and questions, ask me in mp please, for clearity of this topic



Thanks for the attentions 
And good luck 

Paolo Leonetti 
[Italian version](http://olimpiadi.ing.unipi.it/oliForum/viewtopic.php?t=11877)

Present the answer in LaTex format: \boxed{Your answer}
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