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By Krisztina Than and Madeline Chambers BUDAPEST/BERLIN (Reuters) - Hundreds of angry migrants demonstrated outside Budapest's Eastern Railway Terminus on Tuesday demanding they be allowed to travel on to Germany, as the biggest ever influx of migrants into the European Union left its asylum policies in tatters. Around 1,000 people waved tickets, clapping, booing and shouting "Germany! Germany!" outside the station. A refugee crisis rivaling the Balkan wars of the 1990s as Europe's worst since World War Two has polarized and confounded the European Union, which has no mechanism to cope with the arrival of hundreds of thousands of poor and desperate people.