The outcome of the US presidential election is on a knife edge, with Donald Trump and his rival Joe Biden neck and neck in key swing states.
No candidate can credibly claim to have won as yet, and both campaigns said they had potential paths to victory.
Without declaring victory, Mr Biden said he believed his Democratic campaign would prevail.
Mr Trump, a Republican, claimed to have won. His campaign has filed lawsuits in two states where Mr Biden leads.
Several key states are expected to finish counting by the end of Wednesday but the election may not be decided for days.
The Biden campaign said it expected to win because several states would be called for them on Wednesday or Thursday, but the Trump campaign said it was confident that the maths was in its favour.
The US is on course for the highest electoral turnout in a century. More than 100 million people cast their ballots in early voting before election day, and tens of millions more added their vote on Tuesday.
Mr Trump has defied the pre-election polls to do better than predicted, but Mr Biden has a narrow lead in several key states.
In the US election, voters decide state-level contests rather than an overall, single, national one.
To be elected president, a candidate must win at least 270 votes in what is called the electoral college. Each US state gets a certain number of votes partly based on its population and there are a total of 538 up for grabs.
Mr Biden is projected to win Michigan, one of the Rust Belt battleground states which propelled Mr Trump to the White House four years ago. The vote tallies in two others – Pennsylvania and Wisconsin – are very close.
Mr Biden is currently ahead in Wisconsin and a Trump lead in Pennsylvania could still potentially be overturned by mail-in votes.
However, Republicans in Wisconsin said they would immediately request a recount in the state, claiming “reports of irregularities in several counties”. And in Michigan and Pennsylvania the Trump campaign has filed lawsuits to stop the counting of ballots.
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Mr Biden could also snatch Arizona, a once reliably conservative state, and is ahead in Nevada, although counting is not expected to resume there until Thursday.
However, the president is projected to have held the must-win state of Florida, and another conservative sunbelt state, Texas, where the Biden campaign had dreamed of an upset victory.
In an address on Wednesday afternoon, Mr Biden said it was clear his campaign was winning enough states to win the election.
“I’m here to report – we believe we will be the winners,” he said.
The Democrat added a call for unity and a pledge to defend democracy.
“No-one is going to take our democracy away from us, not now, not ever,” he said.
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Mr Trump, meanwhile, alleged in a tweet that there had been “surprise ballot dumps”, causing his lead in several states to disappear, without providing any evidence. Twitter labelled the tweet as possibly disputed and misleading.
At an election night gathering at the White House, the president said there was “major fraud” and “we’ll be going to the US Supreme Court”, again without providing evidence.
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