We know of course that this problem has been solved.

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http://www.startrek.com/startrek/view/series/VOY/episode/68858.htmlOn July 2, 1937, aviator Amelia Earhart and navigator Fred Noonan disappeared over the Pacific Ocean while attempting to make the first round-the-world flight at the equator.
http://www.nytimes.com/learning/general/onthisday/20090702.html

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