A quadratic polynomial p(x) with real coefficients and leading coefficient 1 is called disrespectful if the equation p(p(x))=0 is satisfied by exactly three real numbers. Among all the disrespectful quadratic polynomials, there is a unique such polynomial p~(x) for which the sum of the roots is maximized. What is p~(1)?<spanclass=′latex−bold′>(A)</span>165<spanclass=′latex−bold′>(B)</span>21<spanclass=′latex−bold′>(C)</span>85<spanclass=′latex−bold′>(D)</span>1<spanclass=′latex−bold′>(E)</span>89