SAN JUAN, Puerto Rico (AP) — Puerto Rican voters will once again ponder the decades-old question over the island’s political future when they go to the polls Tuesday: What kind of relationship do they really want with the United States?

The Caribbean island is the U.S. Commonwealth of Puerto Rico, an extension of the U.S. mainland, its giant neighbor 1,000 miles to the northwest. But in fact it is a territory, lacking both the freedom of an independent country and some of the fundamental rights it would have if it was a U.S. state.