Hi, I'm Pete. Welcome to JustAnswer! I'm reviewing your question now, and will post back with your reply ASAP.
When the AC Adapter and USB Cable are connected to the camera to charge the rechargeable battery with the battery at or very near full exhaustion, the battery sometimes cannot be charged.
You could try using an external charger to charge the battery.
Or you could try updating the firmware on the camera - an official firmware update has been released a while ago that solves this issue.
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