Search found 110 matches
- Sun Jun 06, 2021 4:13 am
- Forum: National Math Camp
- Topic: Special Problem Marathon
- Replies: 38
- Views: 32452
Problem 8
There is a game show with $100$ contestants labelled $1, 2, \ldots, 100$. There are $100$ doors in this game show, each having a distinct hidden number from the set $\{1, \ldots, 100\}$. The contestants are not allowed to communicate with each other during the game. During the game, each contestant'...
- Sun Jun 06, 2021 3:52 am
- Forum: National Math Camp
- Topic: Special Problem Marathon
- Replies: 38
- Views: 32452
- Sun Apr 02, 2017 1:58 pm
- Forum: Combinatorics
- Topic: Finding a confirmed civilian among $n^2$ players in Mafia
- Replies: 0
- Views: 5074
Finding a confirmed civilian among $n^2$ players in Mafia
$n^2$ players labelled $1,2,...,n^2$ were playing in a mafia game. There were $2n-3$ mafia in total. During the night phase, everyone asked the moderator a question about the status of some player (mafia or civilian) so that they can reveal this information in the day phase. During the day phase, pl...
- Sat Apr 01, 2017 1:41 pm
- Forum: Social Lounge
- Topic: Petition to make Zaki Khalil overlord
- Replies: 2
- Views: 3269
Re: Petition to make Zaki Khalil overlord
I agree - math camp is the perfect place for transferring of knowledge and skills -- we really could do with smn like zaki khalil - the current imo team members aren't doing well enough of a job compared to what he could do.
#Maki_Zaki_Great_Again
#Maki_Zaki_Great_Again
- Fri Mar 31, 2017 10:11 pm
- Forum: Combinatorics
- Topic: Combi Marathon
- Replies: 48
- Views: 45097
Re: Combi Marathon
Sketch of solution (with @ahmedittihad) : Partition $K_n$ into $\lfloor \frac{n-1}{2} \rfloor$ hamiltonian cycles. Since each cycle has length $n$, we can divide each cycle into two paths of length $i$ and $n-i$. This achieves the desired construction. The proof does need to be modified depending on...
- Tue Mar 28, 2017 10:57 pm
- Forum: Social Lounge
- Topic: BDMO Forum Mafia #1
- Replies: 52
- Views: 58366
Re: BDMO Forum Mafia #1
VOTE: thamimzahin. So he can die quickly.
- Mon Mar 27, 2017 7:08 pm
- Forum: Social Lounge
- Topic: BDMO Forum Mafia #1
- Replies: 52
- Views: 58366
Re: BDMO Forum Mafia #1
1. dshasan
2. ahmedittihad
3. Epshita32
4. Atony Roy Chowdhury
5. Raiyan Jamil
6. rah4927
Next user copy paste this and add your name at the end.
2. ahmedittihad
3. Epshita32
4. Atony Roy Chowdhury
5. Raiyan Jamil
6. rah4927
Next user copy paste this and add your name at the end.
- Thu Mar 23, 2017 2:12 am
- Forum: Site Support
- Topic: The Gonit IshCool Project
- Replies: 3
- Views: 13439
Re: The Gonit IshCool Project
Hey zawad this is a great project and I would be happy to collaborate on this one. However, how do you propose students and mentors communicate with each other? Are you confident the PM system on the forum is good and friendly enough for users to communicate? There isn't a chat system which I feel m...
- Sat Mar 04, 2017 6:44 pm
- Forum: Combinatorics
- Topic: Combi Marathon
- Replies: 48
- Views: 45097
Re: Combi Marathon
Solution $\boxed{15}$ Suppose $a_1,...,a_n$ are the number of gems of each type. If they are arranged serially like, all $a_1$ gems of type $1$ at first, all $a_2$ gems of type $2$ next, and so on till gems of type $n$, then clearly we'll need $n$ cuts to split evenly (each cut at the middle of eac...
- Tue Feb 28, 2017 12:59 pm
- Forum: Combinatorics
- Topic: Combi Marathon
- Replies: 48
- Views: 45097
Re: Combi Marathon
$\text{Problem } 13$ Let $n$ be a positive integer, and let $A$ be a subset of $\{ 1,\cdots ,n\}$. An $A$-partition of $n$ into $k$ parts is a representation of n as a sum $n = a_1 + \cdots + a_k$, where the parts $a_1 , \cdots , a_k $ belong to $A$ and are not necessarily distinct. The number of di...