Latest snow map (only through 7 AM Tuesday) from the National Weather Service:

This is not the model blend map; this is the composite image showing the snowfall forecast from each NWS local office. It only shows snowfall amounts through 7 AM Tuesday; additional accumulations will occur beyond this time-frame in area mostly north of Long island, although light accumulations on Long Island can't be ruled out on Tuesday.

Unless the new Euro shows a big change, my next update will be sometime after 2:45 PM.