Does AutoCAD 2006 or 2007 work with Windows Vista????

I recently purchased AutoCAD 2007 LT and have Auto CAD 2006 on my Windows XP laptop and i was wondering if anyone has put either (OR ANY) of the AutoCAD programs on their Windows Vista computer. If so which one (basic, Home Premium, or Business ultimate). Please let me know asap. Also, let me know if you had any problems and which one you would recomend puting on Vista.