AHSME 1974 Problem 30

A line segment is divided so that the lesser part is to the greater part as the greater part is to the whole. If $R$ is the ratio of the lesser part to the greater part, then the value of $$R^{[R^{(R^2+R^{-1})}+R^{-1}]}+R^{-1}$$ is $\mathrm{(A)\ } 2 \mathrm{(B) \ }2R \mathrm{(C) \ } R^{-1} \mathrm{(D) \ } 2+R^{-1} \mathrm{(E) \ }2+R$