- #1

Doom of Doom

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This seems like it should be really easy, but I'm just not quite sure how to do it.

I think it has something to do with the well-ordering principle.

Anyway, in a system of

*n*planets, there will be a total of

*n*(

*n*-1)/2 pairs of planets, and all of the distances between each of the pairs will be different.

Where do I go from here?