If Either Nationwide's Running an Ad or Progressive's Paying a Dividend

Multiple Choice

If either Nationwide's running an ad or Progressive's paying a dividend implies that Allstate hires agents, then Safeco's opening new offices is a sufficient and necessary condition for Liberty's reducing premiums.

A) [A ⊃ (N ∨ P) ] ⊃ (S ≡ L)
B) (S ≡ L) ⊃ [(N ∨ P) ⊃ A]
C) (N ∨ P) ⊃ [A ⊃ (S ≡ L) ]
D) [(N ∨ P) ⊃ A] ⊃ (S ⊃ L)
E) [(N ∨ P) ⊃ A] ⊃ (S ≡ L)