The search for the missing continues. with two helicopters carrying Korean rescuers conducting searches. and two search boats carrying three people each headed south along the river.
Police spokesman Kristof Gal said although it has not yet been officially confirmed, the bodies of the Hableany's Hungarian captain and a young South Korean girl are believed to be among the four taken off the boat after it was raised to the river surface.
Another diving group will soon attempt to retrieve those bodies.
At one point in Tuesday's operation, a member of the recovery crew fell into the swollen river and had to be rescued by colleagues.
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Divers will now search for the body of the captain before continuing to lift the boat slowly to avoid breaking the hull. According to most recent reports, 19 South Koreans were killed and seven more are still missing.
The Viking Sigyn cruise ship struck the Mermaid just after 9pm local time on 29 May as both vessels passed under the Margit Bridge.
The Ukrainian captain of the larger boat, the Viking Sigyn, has been held on suspicion of endangering water transport, although he denies he did anything wrong.
Where a boat carrying mostly Korean tourists sank and took lives.
Receding floodwaters had allowed the salvage crews to raise the vessel after two weeks of often arduous work in strong currents and poor visibility.
The Mermaid accident happened on a popular part of the Danube river for pleasure trips, from where passengers can view the city and parliament building illuminated at night.
Larger river cruise boats travelling on the Danube between Germany and the Black Sea typically spend several days moored in the capital.