Ok, all joking about dog crap aside... have you said anything to the neighbor? I know it may cause some conflict... but maybe if you mention that it's keeping you up at night, they will keep the dog inside? thats probably why the thing is out all night- So THEY can sleep. maybe ask the other neighbors if it bothers them too, and see about getting a letter together from all of you and dropping it in the mailbox...

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"Beer..the cause of, and solution to, all of life's problems!" Homer J.