Search found 37 matches

by Epshita32
Tue Jun 13, 2017 9:38 pm
Forum: Junior Level
Topic: Beginner's Marathon
Replies: 68
Views: 7953

Re: Beginner's Marathon

$Solution to Problem 21$ Let $a_1 < a_2 < a_3 < a_4$. Then, $(a_3+a_4)$ can't divide $(a_1+a_2)$ and $(a_2+a_4)$ can't divide $(a_1+a_3)$. So, $n_A$ < 4. So, to get the max value 4, $(a_1+a_3)|(a_2+a_4)$, $(a_1+a_2)|(a_3+a_4)$, $(a_1+a_4)|(a_2+a_3)$ and $(a_2+a_3)|(a_1+a_4)$. So, $a_1+a_4 = a_2+a_3$...
by Epshita32
Wed Jun 07, 2017 9:23 pm
Forum: Junior Level
Topic: Beginner's Marathon
Replies: 68
Views: 7953

Re: Beginner's Marathon

Problem $19$:

If $127$ people play in a singles tennis tournament, prove that at the end of the tournament, the number of people who have played an odd number of games is even.
by Epshita32
Wed Jun 07, 2017 9:11 pm
Forum: Junior Level
Topic: Beginner's Marathon
Replies: 68
Views: 7953

Re: Beginner's Marathon

Solution to Problem $18$: The $21$ answer the host received were different. Then all the handshake numbers occur from $0$ to $20$. Let's name the people according to their handshake number -- $H_0, H_1,....,H_{20}$. Here, $H_0$ shakes hands with no one. And $H_{20}$ shakes hands with everyone except...
by Epshita32
Sun Apr 23, 2017 11:49 pm
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 4029

Re: BDMO Forum Mafia #2

Thamim Zahin wrote:I am not voting myself because I am gonju
So, if no one else come forward to declare themselves 'gonju', we can declare thamimzahin 'gonju'.
by Epshita32
Thu Apr 20, 2017 9:08 pm
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 4029

Re: BDMO Forum Mafia #2

Take a preliminary vote?
Tis the first day phase and we have no info, so maybe a vote will help.
by Epshita32
Wed Apr 19, 2017 12:29 am
Forum: Junior Level
Topic: Beginner's Marathon
Replies: 68
Views: 7953

Re: Beginner's Marathon

As the ants are arbitrary, when they collide and move in opposite directions, basically nothing changes. For example, let's name them A and B. A was going right and B left. When they collide, they change directions, so A goes left and B goes right. But as the ants are similar, we can just take it, t...
by Epshita32
Mon Apr 17, 2017 11:51 pm
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 4029

Re: BDMO Forum Mafia #2

Can you please elaborate the role of the projective preist?
by Epshita32
Tue Apr 11, 2017 9:41 pm
Forum: Social Lounge
Topic: BDMO Forum Mafia #2
Replies: 30
Views: 4029

Re: BDMO Forum Mafia #2

Oka, I am in too.
by Epshita32
Sat Apr 08, 2017 11:01 am
Forum: Junior Level
Topic: Beginner's Marathon
Replies: 68
Views: 7953

Re: Beginner's Marathon

Problem 10.
Let $S$ be a square of side $2$, and choose $9$ points inside $S$. Show that $3$ of these points may be chosen which are the vertices of a triangle of area $\leq \dfrac{1}{2}$.

Btw, this is a really easy problem and please participate, everyone.
by Epshita32
Tue Apr 04, 2017 12:23 am
Forum: Social Lounge
Topic: BDMO Forum Mafia #1
Replies: 52
Views: 5957

Re: BDMO Forum Mafia #1

Dshasan is agreeing with anyone and everyone. Doesn't his attempts seem like a desperate man's last chance to save his life? Just watch the game and see how many times he has changed his opinion.

So, I am voting dshasan.

VOTE: (dshasan)