I think they would never reach the end of the 354th day, because they'd be caught in something akin to Zeno's Paradox: the closer they got to c, the more time would slow down for them.
You could draw up a table mapping shipboard times to Earth times: the length of time passing on Earth between each onboard second/millisecond/microsecond etc. would get longer and longer, with the final moment at which the ship achieves c never actually arriving.
ETA: basically what @ninkendo said (but they said it better, and first).
You could draw up a table mapping shipboard times to Earth times: the length of time passing on Earth between each onboard second/millisecond/microsecond etc. would get longer and longer, with the final moment at which the ship achieves c never actually arriving.
ETA: basically what @ninkendo said (but they said it better, and first).