In triangle DEF, DE = DF = 100. and EF = 56. Circle 0 has radius 16 and is tangent to segment DF and segment EF. Circle 8 is externally tangent to Circle Q and tangent to segments DE and EF. No point of circle 3 lies outside of triangle DEF. The radius of circle 3 can be expressed in the form a b where a, b, and c are positive integers and c is the product of distinct primes. Find bc - a. a)35 h) 166 c} 195 d) 254 e) None of the above