A circle with integer radius r is centered at (r, r). Distinct line segments of length c_{i} connect points \left(0, a_{i}\right) to \left(b_{i}, 0\right) for 1 \leq i \leq 14 and are tangent to the circle, where a_{i}, b_{i}, and c_{i} are all positive integers and c_{1} \leq c_{2} \leq \cdots \leq c_{14}. What is the ratio \dfrac{c_{14}}{c_{1}} for the least possible value of r
Answer Choices
A. \dfrac{21}{5}
B. \dfrac{85}{13}
C. 7
D. \dfrac{39}{5}
E. 17