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As for Hungary.
It appears that at the same time the Czechoslovak reforms started, the Kádár regime here introduced new economical practices, trying to make the country's economy actually work. The changes put forward in the neighbour were mostly political in nature, so our leadership started to pray to Saint Lenin that they keep them very "moderate". They feared if things were getting out of hands then our economical project will be scraped, or perhaps even the thoughts of resistance will be reignited here or at least Moscow will think that's happening too.
Since their fears seemed to become true, they decided to show they are loyal subjects of Moscow, and they can march along with the Warsaw Pact, right into Czechoslovakia, when finally Brezhnev decided at the military solution. Kádár even declared that if it comes to counter-revolution in Czechoslovakia, he will vote wholeheartedly for military intervention. Well he did the same with his own country so I don't see how could he not applied the same principle elsewhere.
From his opinion we could also deduce, that the Dubcek-turn, was went far enough for him to consider it a counter-revolution. However this is not the case. He gave the opinion to Brezhnev (on the day of the invasion, on August 21), that the events in Czechoslovakia are closer to the Polish events of 1956 than to the Hungarian counter-revolution of the same year. Still, Hungarian forces were participated the same.
Supposedly later in 1988-89 when our socialist system started to collapse they considered the moral Czechoslovakian lesson and example.