Let \mathcal{P} be the parabola with equation y=x^{2} and let Q=(20,14). There are real numbers r and s such that the line through Q with slope m does not intersect \mathcal{P} if and only if r<m<s. What is r+s ?
Answer Choices
A. 1
B. 26
C. 40
D. 52
E. 80