Jonas has 1728 copies of a 1 \times 1 \times 1 cube with the net shown, where c is a positive integer and c<100. Using these 1728 cubes, Jonas builds a large 12 \times 12 \times 12 cube in such a way that the sum of the numbers on the exterior faces is as large as possible. For some values of c, the sum of the numbers on the exterior faces is between 80\:000 and 85\:000. The number of such values of c is
Answer Choices
A. 39
B. 38
C. 37
D. 36
E. 35