It went on: "Their loss has had a huge impact on us as a family. Our lives will never be the same again, there will always be something missing.
"We believe that justice has been done for Diane and Holly, and we can take some comfort in the knowledge that he's going away for a very long time."
Derek Ogg QC, prosecuting, said Mrs Fallon and Smith had a "platonic friendship" although she was unaware he was a registered sex offender.
On the day of the killings Smith was celebrating his birthday and exchanged texts with Diane Fallon arranging to play on his new pool table at his flat.
Mr Ogg said the last entry in Holly Fallon's diary was about the visit.
It read: "Dear diary, I am in Tom's house. My mum and he are playing snooker. I want to play and I hope I can. Love you, bye."
The bodies of Holly Fallon and her mother Diane were found in Ayrshire
Just hours later Smith, a former private in the Royal Logistics Corps, murdered the pair.
The court heard that the head teacher at St John's Primary in Cumnock became concerned when Holly failed turn up for classes.
A friend of Diane Fallon reported to police that the pair were missing.
It soon became evident that unemployed Smith was the last person to see them alive.
The former soldier later confessed to his father that he had "accidentally" murdered the pair, claiming that Diane had come at him with a knife.
What you did to each of your victims is to my mind more properly described as sadistic torture.
Judge Lord Turnbull
Holly Fallon's body was found hidden under stones in a river. The body of her mother was discovered in undergrowth outside the village of Craigens.
Speaking after the conviction, Geri Watt, area procurator fiscal for Ayrshire, said: "Exactly what happened to Holly and Diane in their final few hours is still unclear, but the evidence shows that Smith subjected each of them to a prolonged and terrifying attack and committed serious sexual assaults against them.
"It has been very important to all of us in the prosecution service to ensure that he was brought to justice for these truly horrific crimes."
Det Chf Supt John Mitchell of Strathclyde Police said it was "only right" that the force conducted a review into the management of Thomas Smith.
Smith lived next door to the Fallons in Cronberry
He added: "We shall be sharing the content of this review with the family and then submitting it to an independent, multi-agency process.
"If lessons can be learned from this case, rest assured they will be."
"This was a despicable crime that has devastated a family and shocked the community of Cronberry as well as the rest of the country.
Passing a life sentence, Lord Turnbull said Smith would have to serve at least 32 years in prison before he could apply for parole.
He added: "What you did to each of your victims is to my mind more properly described as sadistic torture.
"You told nothing like the truth about how each had been murdered.
"Even in these courts, where we here see the worst of humanity, your conduct stands out as exceptional."
As Smith was led away, there were shouts of "rot in hell" and "hope you are tortured in prison as you tortured them" from the public gallery.
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