Due to the stormy weather, people could not get evacuated to other vessels and had to be airlifted one-by-one by helicopters.
The cruise ship, which was reported to have restarted three out of its four engines, is moving toward the western city of Molde, the NRK broadcaster said.
Although the weather conditions in the area improved, the evacuation has been suspended while the ship is being tugged to the shore by two boats, the broadcaster added.
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A total of 17 people were reportedly injured during the incident, with three people having sustained serious injuries.