Nicola Sturgeon made the pledge as she opened the Teenage Cancer Trust's ninth international conference in Edinburgh.
Murray: Davis Cup Win 'Most Emotional'
Andy Murray described his Davis Cup victory as the most emotional triumph of his career.
The Scot fell to the court in tears after defeating Belgium's David Goffin to clinch the team tennis title for Great Britain for the first time in almost 80 years.
He was soon mobbed by team mates and was clearly emotional as he celebrated with the crowd and waved to his family during the win in Ghent.
Speaking afterwards the two-time grand slam champion said: "It's obviously an amazing feeling. I imagine it will take a few days before it really sinks in.
"I probably haven't been as emotional as that after a match that I've won. I've been pretty upset having lost matches before but I'd say that's probably the most emotional I've been after a win.
"It's incredible that we managed to win this competition. I didn't know that would ever be possible. It's great.''
Murray's performance has been described as one of the most remarkable Davis Cup performances in history. Along with brother Jamie he was been involved in winning 11 of the 12 points Great Britain amassed during the competition.
He said representing his country brought out the best in him, as it did during his win at the London 2012 Olympics.
"I think the rest of the year when you're playing, you don't get atmospheres like that in any event that we play during the year except during Davis Cup,'' he said.
"That's what happens when you get your country involved, people become more passionate. I think that's the same for all of the players, as well.
That's why the level of play, I think, is so high.
2Most of the players play at an extremely high level and I think it is because there is a bit more passion there when you're competing for your country.''
Captain Leon Smith, who coached Murray as a junior, was asked afterwards if he should be given a knighthood.
He joked: "Me or him?''
Then he added: "Look, you're asking the wrong guy because I hold Andy in the absolutely highest esteem. I can't talk high enough about him. I could go on and on and talk for the next hour about him.
"What he's managed to do for this team is astonishing, to post that many wins in one year. He's put his whole body, his whole mind on the line every single time for the team.
"We're all grateful and proud of him.''
The whole Murray family were in Ghent to watch the brothers lead Great Britain to the win and mother Judy tweeted that she had cried during the win and posted a series of pictures of her boys celebrating their doubles win on Saturday.
Jamie Murray said: "It's huge for me, by far the biggest achievement in my career. I mean, I've had an amazing season and this is an unbelievable way to cap it off.
"As for celebrations, I don't know. I think we're going to Nobu tomorrow night. That's about it, that's all I know.''
The 25 year old from Scotland was found dead on Saturday.
Major cities across Britain are becoming home to "hipster hotspots'' - pushing up house prices strongly in places such as Bristol, Manchester and Edinburgh as well as in London - research has found.
The Convention of Scottish Local Authorities (Cosla) has said that any more cuts to local government funding will result in "severe consequences'' for jobs across the country.
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