On both trips I read a lot that is why they went down to one bar. I didn't take a charger on either trip.
However since you have access to a PC I would recommend taking a miniUSB hub for safe measure. If you lose the miniUSB cable the replacement is only $5-$10 and readily available in most stores. If you lose the charger you'll have to special order from SONY again.
Honestly I don't think you will be needing to charge your reader on your trip, I didn't. Of course if you use the mp3 player that is a different story.
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