Support for German Chancellor Angela Merkel's conservatives has fallen two percentage points in one of the first opinion polls to be published since mass sexual assaults on women, blamed on migrants, in Cologne on New Year's Eve.

The poll for public broadcaster ARD also showed a narrow majority of Germans to be skeptical that the country can manage its huge influx of migrants.

Roughly 1.1 million entered Germany last year, far more than any other European country. Merkel has resisted pressure to take drastic measures to stem the flow, such as closing German borders, telling people the country is strong enough to cope.

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