( CNN) On the night of Donald Trump's inauguration as US President, champagne corks popped in Moscow.

The thing is, they saw Trump's victory as their victory, too. And why wouldn't they? As presidential candidate, Trump promised to turn US policy towards Russia on its head.

He blamed Russia's Cold War nemesis, NATO, a mainstay of US military power in Europe. He had spoken of working with Russia in Syria, where Moscow supports Bashar al-Assad, whom Washington opposes.

Putin: Claims of election interference are ‘anti-Russia hysteria'