Are puppies smart enough to do this?

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While we're on the topic, maybe someone - Jeff W, perhaps - could help me with my puppy problem. The dog is about 6.5 months old now, and pretty well housebroken. The only times she goes inside is if we are ignoring her completely, and then she just piddles a little by the door.

But recently she's picked up a very strange habit. She's taken to peeing at the top of the stairs, regardless of when she last when out to pee or anything else. She could have just gotten back inside from peeing, and 10 minutes later, she'll go upstairs and pee a little bit at the top. Its not every time, but its gotten worse, to where maybe 1/3 of the time she'll do it. Its not always in the same place, but generally either in the small area at the top of the stairs or actually on the top 2-3 stairs.

Any ideas?

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Vigilance...watch the dog carefully and when she attempts to pee on the steps grab her and take her outside or wherever she is supposed to pee, everytime and she will get the message. This is how professionals house train dogs. book
I actually had his book" Gun Dog" and that is the method he used.