Suppose you start at Washington, D.C. (39°N, 77°W), and trav…

Suppose you start at Washington, D.C. (39°N, 77°W), and travel 400 nautical miles due south, then 400 nautical miles due east, then 400 nautical miles due north, and then 400 nautical miles due west. Where will you arrive with respect to Washington, D.C.? That is will you be at the starting point, or north, south, east, or west of the starting point?