Which problems will I do going forward?

-
From now on, I will post one IMO shortlist, then two of these below.  


    1: "EGMO",
    2: "Romanian Masters of Mathematics",
    3: "Tournament of Towns",
    4: "USA ELMO Shortlist",
    5: "USA Math Prize for Girls Olympiad",
    7: "USAJMO",
    8: "Canada National Olympiad",
    9: "China TST",
    10: "India IMO Training Camp",
    11: "India National Olympiad"



For example, it could go like: 2021 IMO #1, 2019 EGM0 #2, China TST #3.


Comments

Post a Comment

Popular posts from this blog

1995 IMO #2

-
 Let $ a$, $ b$, $ c$ be positive real numbers such that $ abc = 1$. Prove that \[ \frac {1}{a^{3}\left(b + c\right)} + \frac {1}{b^{3}\left(c + a\right)} + \frac {1}{c^{3}\left(a + b\right)}\geq \frac {3}{2}. \]
Read more

2014 IMO SL #C2

-
  Problem : We have $2^m$ sheets of paper, with the number $1$ written on each of them. We perform the following operation. In every step we choose two distinct sheets; if the numbers on the two sheets are $a$ and $b$, then we erase these numbers and write the number $a + b$ on both sheets. Prove that after $m2^{m -1}$ steps, the sum of the numbers on all the sheets is at least $4^m$ .
Read more

2015 IMO SL #A1

-
 Suppose that a sequence $a_1,a_2,\ldots$ of positive real numbers satisfies\[a_{k+1}\geq\frac{ka_k}{a_k^2+(k-1)}\]for every positive integer $k$. Prove that $a_1+a_2+\ldots+a_n\geq n$ for every $n\geq2$.
Read more