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Re: Beginner's Marathon

I think you should give the full solution to the problems or give hints if the thread is stuck for some days.
by ahmedittihad
Thu Apr 20, 2017 10:03 pm
 
Forum: Junior Level
Topic: Beginner's Marathon
Replies: 48
Views: 1266

Re: BDMO Forum Mafia #2

Okay, guys. Would you want to take a preliminary vote to get some information? Or do you want to discuss about what might be our best strategy?
by ahmedittihad
Thu Apr 20, 2017 8:24 pm
 
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 27
Views: 450

Re: A Lemma?

I think you have the wrong idea of elegance. To see what not elegant is, Thanic Nur Samin vaiya is your best choice.
by ahmedittihad
Mon Apr 17, 2017 8:03 pm
 
Forum: Geometry
Topic: A Lemma?
Replies: 8
Views: 155

Re: Another Ah moment

No one tried this problem. Me very sad. :(
by ahmedittihad
Wed Apr 12, 2017 8:22 pm
 
Forum: Combinatorics
Topic: Another Ah moment
Replies: 1
Views: 51

Re: BdMO 2017 junior/4

So basically you do different cases on the primes dividing $n^2$ or $n-1$. And these cases yield different divisibility conditions. And CRT is the method to find the smallest number that suppression every congruence in a system. Look it up. The notation might be scary but it's quite natural and intu...
by ahmedittihad
Wed Apr 12, 2017 7:14 pm
 
Forum: National Math Olympiad (BdMO)
Topic: BdMO 2017 junior/4
Replies: 7
Views: 158

Another Ah moment

You are given a TV screen with $n×(n+2)$ pixels(the dimension is $n $ on a side and $n+2$ on another side). Initially, there are $k $ pixels turned on. In any $2×2$ screen, as soon as there are $3$ unit screens which are off, you can turn off the $4$th screen. Your goal is to turn the whole TV off. ...
by ahmedittihad
Wed Apr 12, 2017 1:29 am
 
Forum: Combinatorics
Topic: Another Ah moment
Replies: 1
Views: 51

Re: Combi Marathon

Solution? And another problem please.
by ahmedittihad
Tue Apr 11, 2017 10:30 pm
 
Forum: Combinatorics
Topic: Combi Marathon
Replies: 41
Views: 1058

Re: BDMO Forum Mafia #2

Zawadx wrote:
This time, EVERYONE will get a special power role (no vanillas). Hopefully this will result in some fun for everyone!

.

"Everyone's super is another way to say no one is."




BTW, I'm playing.
by ahmedittihad
Tue Apr 11, 2017 4:55 pm
 
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 27
Views: 450

বিয়ে

You are given a $10$*$10$ grid with the property that in every row, exactly three squares are shaded, and in every column, exactly 3 squares are shaded. Prove that you can select 10 if these shaded squares so that each of them are in different rows and columns.
by ahmedittihad
Tue Apr 11, 2017 4:21 pm
 
Forum: Combinatorics
Topic: বিয়ে
Replies: 0
Views: 51

Re: Beginner's Marathon

Problem $11$
For a positive integer $n$, let $f(n)$ denote the greatest odd divisor of $n$. Prove that for any integer $x$, $f(x+1)+f(x+2)+........f(2x) = x^2$.
by ahmedittihad
Mon Apr 10, 2017 12:45 pm
 
Forum: Junior Level
Topic: Beginner's Marathon
Replies: 48
Views: 1266
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