Last word tonight to the winning manager, Aberdeen's Derek McInnes: "It was a proper cup tie, no quarter given. Both teams fought for every inch, it was fiercely competitive and both teams defended very well.
"I just got the feeling that one goal was going to decide it and it was a big moment when Joe [Lewis] touched the free-kick onto the bar. But Ash Taylor followed it in and cleared a dangerous situation.
"I was delighted with the impact the subs made, the same as at Dundee on Sunday. It was typical Adam [Rooney]. He only gets half a chance, but his movement was really bright. He got a half-yard on [Steven] Anderson but he still had to guide it into the far corner."