Which of the following is true of the Louisiana Purchase?

1. The slave rebellion in Haiti almost persuaded Napoleon not to sell Louisiana because he thought it might benefit France to have land from which to attack the island if necessary.

2. France had guaranteed the United States access to New Orleans, but Jefferson feared that a British victory in the war at the time would deprive the United States of that trade opportunity.

3. Spain's ownership of the land helped inspire Jefferson, because he feared that Spain would fall under French control or take advantage of its control of most of the continent.

4. Jefferson's sole reason for this measure was national security.

5. Jefferson expected the land acquisition to make possible the spread of agrarian republicanism.