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The Tories' leader in Scotland has hailed an "incredible result" which looks likely to put the Conservatives in second place north of the border, ahead of Labour.
Ruth Davidson - who won the Edinburgh Central seat from the Scottish National Party (SNP) - said her campaign had focused on providing a "strong opposition" to the ruling SNP.
She also admitted she realised those who had voted for the party were unlikely to be "true blue Conservatives".
Labour's leader in Scotland has said she was "heartbroken" by overnight election results which look set to push the party into third place, behind the Tories.
Kezia Dugdale said it was clear even the Conservative candidates had not expected to perform as well as they had.
She also ruled out stepping down, saying "burning through leaders" was "not the answer".
Scotland's First Minister Nicola Sturgeon regained her seat as MSP for Glasgow Southside on Friday morning.
The Scottish National Party politician polled a huge majority in the seat she has held since 2007.
Scottish Labour leader Kezia Dugdale has failed in her bid to win the Edinburgh Eastern constituency.
Ms Dugdale lost out to the Scottish National Party.
Scottish Conservative leader Ruth Davidson has won the Edinburgh Central constituency from the SNP.
The collapse in Labour support across Scotland is "quite staggering", according to Nicola Sturgeon.
Speaking on Friday morning, the Scottish First Minister said elections across the country on Thursday were a "huge vote of confidence in the SNP's record in government".
Ms Sturgeon, whose Glasgow Southside seat went to the vote on Thursday, added that the pattern of voting was an indicator of the people's "trust in our ability to lead the country".
"What we're seeing tonight, not just across Glasgow but the central belt of Scotland, is the SNP replacing Labour - the collapse in Labour support is quite staggering", she said.
Scottish Labour is facing its worst ever electoral performance at Holyrood, early indications suggest.
The party is facing the prospect of finishing third in Scotland - behind the Scottish National Party (SNP) and the Conservatives - something John Mann MP said would be "cataclysmic for morale".
The first declarations for the Holyrood vote point to a swing away from Labour to the Tories.
The SNP's Clare Haughey won Rutherglen from Labour's James Kelly, while Stewart McMillan took Greenock and Inverclyde, again from Labour. Elsewhere, Jackson Carlaw of the Conservatives won Eastwood from Labour's Ken Macintosh, who finished third behind the SNP.
Latest ITV News reports
21-year-old Ross Greer has been elected as the youngest-ever Member of the Scottish Parliament (MSP), representing the Green Party.
Labour is facing a disastrous election night in Scotland, with the party in danger of finishing third behind the SNP and the Conservatives.