President Putin was sworn in as president in a ceremony attended by some 2,000 people in the Kremlin's St Andrew Hall - the former throne room resplendent with chandeliers, gilded pillars and high Gothic vaults.
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The Democratic presidential candidate may also have shown his cards on his choice of running mate.
The US president also shared a post on Twitter accusing Dr Anthony Fauci of misleading the public over hydroxychloroquine.
Fears over an impending second wave of coronavirus dominates Wednesday’s front pages.