I grew up in New York, and I remember that, at one time, there was an A&P almost everywhere. It was another way of saying "the store"; "I'm going to the A&P".
When I moved to upstate NY in the 70's, all of the stores up there were either closed or preparing to do so. There was a huge Ann Page Foods division food processing plant owned by A&P in Horseheads, NY, built in the mid 60s, which closed in the late 70s or early 80s. It sat vacant for a very long time and has recently been demolished to make way for, among other things, a WalMart Supercenter.
A (very) few of them hung on in upstate for a bit longer - I remember Hudson, East Greenbush and Red Hook (so those are at least early 80's - Red Hook being the last of that bunch) and also I know there was one in Wynantskill (near Troy) until early 1997, and a couple in the Adirondacks (Saranac & Tupper Lake at least, seems there was a 3rd one also) for a couple years after that (probably 2000ish when they closed).
Now the farthest north you'll find them would be either Pleasant Valley (outside Poughkeepsie) or one odd, old, small store in Margaretville (a ways outside of Kingston), which for some reason is run by the CT group (Super FoodMart) - as were the two in the Adirondacks!