Germany flood threat heads north towards Dresden
Thousands of German troops have been sent to help flood-hit regions as rising rivers threaten more cities.
Surging waters that have already caused extensive damage across central Europe are moving north and east along rivers including the Elbe and Danube.
German Chancellor Angela Merkel has visited areas already hit by the deluge and promised 100m euros (£78m; $130m) in emergency aid.
Meanwhile river levels in the Czech capital Prague have begun to fall.
Large areas of suburban Prague were flooded but metal barriers protecting the historic city centre held as the floods peaked and the high waters moved north towards Germany.
Around 4,000 German troops have been deployed in four states, the military said, reinforcing dykes with sandbags and providing help to thousands of people forced to leave their homes.
Chancellor Merkel came bearing gifts. She promised that the federal government would earmark 50 million euros in direct aid to flood affected areas, with the government of Bavaria matching the sum in the region.
That money may have to be spread over a wider area. All the signs were that the waters of the Danube were subsiding, but other rivers further north started to look more threatening.
In Saxony, the Elbe was rising to dangerous levels, as waters poured in from the Czech Republic.
The unanswered question is whether floods are getting worse and more frequent in this region. The two big floods in recent memory were 2002 and today's - both previously predicted to be very rare events.
But the big one before that was in 1954, before concerns about global warming.
The Danube is a busy commercial waterway which is much subject to man-made alteration, both to improve navigation and for waterside development.
This human engineering of the landscape is constantly monitored and debated in this region. The current floods will add to that debate.
The latest cities to be hit include Meissen on the Elbe. Nearby Dresden is preparing for water levels 5m higher than normal.'Historic proportions'
Officials in Saxony - home to both Meissen and Dresden - have warned that rivers could rise even higher than in the record floods of 2002, when both cities were devastated.
Chancellor Merkel toured some of the worst-hit areas on Tuesday, flying over Bavaria, Saxony and Thuringia by helicopter.
In the stricken Bavarian city of Passau - where waters reached a level not seen in 500 years - she called the floods "an event of historic proportions" and promised 100m euros in emergency aid, half of it from the federal government
"I spoke to residents who are already busy with clean-up work and I am aware that it will take weeks. The damage and loss of income are a long-term problem and therefore our support will not dwindle," she said.
Across Europe at least 12 people have died as a result of the floods. As well as Germany and the Czech Republic, Austria, Switzerland, Poland, Slovakia and Hungary have been affected.
Main roads in many areas have been closed and rail services cut. Thousands of homes are without power.
Hungary has declared a state of emergency as the surging waters move down the River Danube, with the peak expected on Thursday.
The Hungarian capital Budapest and the Slovakian capital Bratislava - both on the Danube - are on alert and flood defences are being reinforced.
In the Czech Republic, a nationwide state of emergency is still in force. Water levels were expected to peak in the north later on Tuesday.
As a precaution, Prague's metro system and central sewage treatment plant were closed, metal flood defences were erected and sandbags built up along the banks of the Vltava.
In Austria, the meteorological service said two months of rain had fallen in just two days.
Shipping was halted on parts of the Danube and Rhine in Germany, and the entire length of the Danube in Austria. The rivers are used heavily to transport commodities such as grain and coal.