### 3K views!

Thanks everyone for 3K views on this blog!

I didn't expect it to blow up this much.

Keep viewing it, more interesting content is to come!

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 $4^m$ .

Wow! 3K views already?? You started this blog like a week ago and now it's literally on fire.

ReplyDeleteGreat job with your content. I love it!

I visit your blog every day :)

Thanks!

ReplyDelete:D

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ReplyDeleteI wish you the best of luck in your future endeavors!

I agree with the above comments.

ReplyDeleteI love the work you're doing.

Can't thank you enough for the wonderful solutions you post on this blog. It's helped me a lot.