Every political philosopher of the early twentieth century who was either a socialist or a communist was influenced by Rosa Luxemburg. No one who was influenced by Rosa Luxemburg advocated a totalitarian state.

If the statements above are true, which one of the following must on the basis of them also is true?
(A) No early-twentieth-century socialist political philosopher advocated a totalitarian state.
(B) Every early-twentieth-century political philosopher who did not advocate a totalitarian state was influenced by Rosa Luxemburg.
(C) Rosa Luxemburg was the only person to influence every early-twentieth-century political philosopher who was either socialist or communist.
(D) Every early-twentieth-century political philosopher who was influenced by Rosa Luxemburg and was not a socialist was a communist.
(E) Every early-twentieth-century political philosopher who did not advocate a totalitarian state was either socialist or communist.

Can someone please explain? I can't get the right answer.

Source: 300 CR questions from BTG
Answer is: A