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Més informació/BBC:
"Nothing like this has happened since 1956," one young protester told Reuters news agency, referring to Hungary's failed uprising against Soviet rule in October 1956.ADDENDA.- Les imatges de la TV hongaresa Dunatv no mostren precisament que la revolta l'estigui fent un grapat de "caps rapats", que es el que estan dient alguns mitjans occidentals perquè, com tothom sap, només l'extrema dreta es pot oposar a un govern socialista. O la nova extrema dreta, com tan bé sap Rodríguez Zapatero.
Officials told state news 150 people were injured in the violence, including 102 police officers.
Our correspondent says the city is now mostly quiet, with only a handful of protesters left in the area.
Earlier Mr Gyurcsany told the state news service he had no plans to resign.
"The street is not a solution, but instead causes conflict and crisis," he said. "Our job is to resolve the conflict and prevent a crisis."
He said those who had called for a "radical solution" to Hungary's problems were also partly to blame.
Smaller protests were also held in other cities around Hungary.
Leaked tape
Mr Gyurcsany's comments, which sparked the violence, were heard in a tape of a meeting he had with his MPs a few weeks after April's election, and leaked to local media on Sunday.
In excerpts broadcast on state radio, Mr Gyurcsany says harsh economic reforms are needed.
"There is not much choice. There is not, because we screwed up. Not a little, a lot. No European country has done something as boneheaded as we have.
"Evidently, we lied throughout the last year-and-a-half, two years... You cannot quote any significant government measure we can be proud of, other than at the end we managed to bring the government back from the brink. Nothing."
In a speech sprinkled with obscenities, Mr Gyurcsany says: "We lied in the morning, we lied in the evening."
El primer ministre hongarès promet fermesa contra els aldarulls.
Benhauradament, ja no hi ha els tancs del Pacte de Varsòvia.