### December 31st, 2021 update

I won't be posting any more problems today until 11:59 PM EST.

At 11:59 PM, I will post a very unique problem that is suitable for this day.

Take a wild guess for what it could be ðŸ˜‰

- Get link
- Other Apps

I won't be posting any more problems today until 11:59 PM EST.

At 11:59 PM, I will post a very unique problem that is suitable for this day.

Take a wild guess for what it could be ðŸ˜‰

- Get link
- Other Apps

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 $4^m$ .

hmmmmm i wonder what it is

ReplyDeletea problem about snow or new year?

You'll see ðŸ˜‰

ReplyDeletewill it be a super troll problem from 2021 contest season? (like 2021 spring amc10b p2)

ReplyDelete@above

ReplyDeleteNope

And not only will there be a problem, but there will also be a meme.

ReplyDelete*everyone looks up*

I already know what it is...

ReplyDeleteI'm not going to spoil it, but I'll just let you know that it will be a HARD problem. In fact, it will be VERY, VERY, VERY HARD.