Imagine you're at home in a city somewhere in the United States. You decide to travel along each of the four compass directions, north, south, east, and west. Day 1, you travel due north and you eventually cross a state line. Let's call this state X. You return home.
The next day you decide to travel due south. Again you come to the border of your home state and its neighbor. It is also state X. You return home amazed.
Day 3, you elect to proceed due east and you are shocked to find out that the first state you reach is, again, state X! On the fourth day you travel due west and soon are stupefied to find a sign saying, "Welcome to State X"!
There is only one city in the United States whereby traveling along the four compass points, north, south, east and west, the first state you reach is identical no matter which direction you choose. Name the city and the state
