The correct answer is A) government bears an extremely heavy burden of proof to justify prior restraints.
In New York Times Co. v. the United States, the Supreme Court said that "the government bears an extremely heavy burden of proof to justify prior restraints."
In simpler terms, the United States Supreme Court established that the First Amendment to the US Constitution protected the right of the newspaper(The New York Times), to publish the Pentagon Papers.
The Pentagon Papers was the name of the copies of a U.S. military report Daniel Ellsberg released.
During the Richard Nixon presidency years, the Secretary of Defense had a series of secret documents called "the Pentagon Papers," which referred to the Vietnam War and the United States engagement from the 1940s until 1967. Ellsberg knew he had the moral obligation to share these documents with the American citizens, and he did it. So he gave a copy to the New York Times. This influential newspaper published a series of articles that shocked the nation.