Of course we all like to think our own pet is the smartest, but IMO both have pretty high intelligence.
My dog created a game that he always wants to play with me. It's sweet. I'll say "Go outside?" (which he figured out on his own, when I say that, he can go outside, duh ;)) and he'll run to whatever door is closer and wait for me to open it. I like to point to the door and say "Go out there?" which he'll then respond to with a quick stomp or a increase in "tail" WPM (whips per minute :p).
It's neat, since I never taught him directly. He just kinda picked it up.
Once he's outside, he'll run and find his ball, bone, or stick and proceed to get into a "come and catch me if you can stance" where he gets low on the ground and stares at me. If I get to close, he'll bounce around me dodging my every move as I try and tackle him to the ground (not easy, I struggle for my life just to hold him on the ground, strong as a bull). He knows that he can outrun me and run circles around me, and he boasts it. I'll run at him and he'll run a few metres and go into that same stance again. If I give chase he just guns it, and leaves me in the dust. Great fun and excercise for the both of us. Eventually he calls it quits and lays down to chomp on whatever he wouldn't let me have.
Sometimes though, he goes nuts and starts running at me full on. Its scary because I always think he could break my legs. Get this... He likes to run at you at a ****ing crazy speed and the literally THROW his body at your legs. He kinda turns his body so that his *** bashes into me. Or he;ll run at me and grab my legs with his paws, chest touching my leg, and then play bite my leg, partially taking me to the ground.
What a dog.