Peter the rabbit likes bounding around the infinite square grid of fields on his farm. Each hop of one field to the north, south, east, or west costs him exactly carrot of energy. One morning he wakes with a store of carrots and keeps hopping between fields until his store is completely used up and he settles down to sleep. In how many different fields could Peter end up falling asleep?
A
B
C
D
E
F
G
H