Imo 2012

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This is the wiki page for the mini-polymath4 project, which will seek a solution to a problem from the 2012 International Mathematical Olympiad, held in Argentina from July 10-11.

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 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. (In particular, linking between the wiki and specific comments on the blogs is highly encouraged.)

Threads

Planning:

Discussion:

Research:

The question

Observations and partial results

Examples

Possible strategies

Completed solutions