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 The Kobayashi Maru by Julia Ecklar
A freak shuttlecraft accident — and suddenly Captain Kirk and most of his senior officers find themselves adrift in space, with no hope of rescue, no hope of repairing their craft, or restoring communications — with nothing, in short, but time on their hands.

Time enough for each to tell the story of the Kobayashi Maru — the Starfleet Academy test given to command cadets. Nominally a tactical exercise, the Kobayashi Maru is in fact a test of character revealed in the choices each cadet makes, and does not make.