[easiest IMO (contest) problem of 21st century................to me
]IMO-2009-1
-
Tahmid Hasan
- Posts:665
- Joined:Thu Dec 09, 2010 5:34 pm
- Location:Khulna,Bangladesh.
Let $n$ be a positive integer and let $a_1, . . . , a_k (k \geq 2)$ be distinct integers in the set ${{{1, . . . ,n}}}$ such that $n$ divides $a_i(a_{i+1} −1)$ for $i = 1, . . . ,k−1$. Prove that $n$ does not divide $a_k(a_1−1)$.
[easiest IMO (contest) problem of 21st century................to me ]
[easiest IMO (contest) problem of 21st century................to me
]বড় ভালবাসি তোমায়,মা
Re: IMO-2009-1
If anybody need a hint...
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi