Search found 90 matches

by Zawadx
Tue Apr 25, 2017 8:05 pm
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 5842

Re: BDMO Forum Mafia #2

Nobody died, yay!

Night 1 starts now, will end at 26th April 8 pm.

I hope the mafia remember who they are, cause I totally forgot :roll:
by Zawadx
Mon Apr 24, 2017 8:06 pm
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 5842

Re: BDMO Forum Mafia #2

Since this is dying, gonna fix a final deadline.

Day 1 will end on 25th, 8 pm. Discuss, do stuff, act!
by Zawadx
Sat Apr 22, 2017 6:48 pm
Forum: Geometry
Topic: USA(J)MO 2017 #3
Replies: 6
Views: 1595

Re: USA(J)MO 2017 #3

We use barycentric coordinates. Let $P\equiv (p:q:r)$. Now, we know that $pq+qr+rp=0$ [The equation of circumcircle for equilateral triangles]. Now, $D\equiv (0:q:r), E\equiv (p:0:r), F\equiv (p:q:0)$. So, the area of $\triangle DEF$ divided by the area of $\triangle ABC$ is: $$\dfrac{1}{(p+q)(q+r)...
by Zawadx
Sat Apr 22, 2017 8:27 am
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 5842

Re: BDMO Forum Mafia #2

Bump bump bumpity bump.

How much time should I extend for?
by Zawadx
Sat Apr 22, 2017 8:24 am
Forum: Number Theory
Topic: USAJMO/USAMO 2017 P1
Replies: 3
Views: 1044

USAJMO/USAMO 2017 P1

Prove that there are infinitely many distinct pairs $(a, b)$ of relatively prime integers $a>1$ and $b>1$ such that $a^b+b^a$ is divisible by $a+b$.
by Zawadx
Wed Apr 19, 2017 8:21 pm
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 5842

Re: BDMO Forum Mafia #2

$$\begin{vmatrix} 2a^2 & a^2+b^2-c^2 & a^2+c^2-b^2 \\ a^2 & b^2 & c^2 \\ 0 & 1 & 1 \end{vmatrix}$$ A matrix is a simple array of numbers, they said. But a simple array on a geometry problem can cause some complex issues... DAY 1 All roles have been sent! Check out the first post for how voting ties ...
by Zawadx
Wed Apr 19, 2017 12:36 am
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 5842

Re: BDMO Forum Mafia #2

dshasan wrote:I didn't understand the role darij grinberg. Please explain.
Darij Grinberg can target a person to suicide bomb. At the end of the phase, both that person and darij will die.
by Zawadx
Tue Apr 18, 2017 12:01 am
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 5842

Re: BDMO Forum Mafia #2

Can you please elaborate the role of the projective preist? Suppose A is the cop, B is a basher, C is doctor and D is Projective Priest. Then, if during a night A targets D, B nightkills A, C saves A and D targets A, D will learn that B and C both targeted A and A targeted D. Note that the priest w...
by Zawadx
Mon Apr 17, 2017 11:30 pm
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 5842

Re: BDMO Forum Mafia #2

BDMO Forum Mafia #2 - Revenge of the Bashers Once upon a time, the innocent people of BDMO Forum did geometry using only synthetic techniques. Yes, sometimes they'd do some dushtu stuff and add in a page of trig or long-winded length chasing, but it was harmless fun. The great priests of the land, ...
by Zawadx
Tue Apr 11, 2017 4:34 pm
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 5842

BDMO Forum Mafia #2

BDMO Forum Mafia #2 - Revenge of the Bashers Once upon a time, the innocent people of BDMO Forum did geometry using only synthetic techniques. Yes, sometimes they'd do some dushtu stuff and add in a page of trig or long-winded length chasing, but it was harmless fun. The great priests of the land, ...