Imo 2010

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This is a placeholder for the eventual home page of a forthcoming mini-polymath project devoted to a question (yet to be determined) from the 2010 International Mathematical Olympiad.

The project will start at 16:00 UTC July 8, and will be hosted at the polymath blog. A discussion thread will be hosted at Terry Tao's blog.

Rules

This project will follow the usual polymath rules. In particular:

  • Everyone is welcome to participate, though people who have already seen an external solution to the problem should probably refrain from giving spoilers throughout the experiment.
  • This is a team effort, not a race between individuals. Rather than work for extended periods of time in isolation from the rest of the project, the idea is to come up with short observations (or to carry an observation of another participant further) and then report back what one gets to the rest of the team. Partial results or even failures can be worth reporting.
  • Participants are encouraged to update the wiki, or to summarise progress within threads, for the benefit of others.

Threads

Discussion and planning:

Research:

  • No research thread yet.

The question

The question to be solved will be chosen from one of the six problems of the 2010 International Mathematical Olympiad. It is yet to be decided.

Observations and partial results

  • No partial results yet.

Possible strategies

  • No possible strategies proposed yet.

Completed solutions

First solution

Second solution