Maths Olympiad Daily Problems

Guys try this interesting problem

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Can anyone pls solve this and send me the solution 🙏

Here's the solution

Here's some polynomials 👺

It is C2 2014

2^m sheets of paper

There are 2m sheets of paper, with 1 written on each initially. In each step choose two distinct sheets with numbers a,b, and replace both numbers by a+b. Prove that after m^(2m−1) steps, the sum of all numbers on the sheets is at least 4^m. Can anyone solve this?

There are 2m sheets of paper, with 1 written on each initially. In each step choose two distinct sheets with numbers a,b, and replace both numbers by a+b. Prove that after m^(2m−1) steps, the sum of all numbers on the sheets is at least 4^m. Can anyone solve this?

Guys solve these Don't do baikati Do hard study IOQM is comming