Danica drove her new car on a trip for a whole number of hours, averaging 55 miles per hour. At the beginning of the trip, a b c miles was displayed on the odometer, where a b c is a 3 -digit number with a \geq 1 and a+b+c \leq 7. At the end of the trip, the odometer showed c b a miles. What is a^{2}+b^{2}+c^{2} ?

**Answer Choices**

A. 26

B. 27

C. 36

D. 37

E. 41