Cuba
The mystery of Cuba lays in the fact that Americans were banned from entering the country for decades, and only until this year did Obama announce his intention to normalize relations with the neighboring country. Currently you can apply to visit Cuba to see family, for charity, educational purposes, exporting media or art, as a journalist, or for research. You cold also choose to go on a regulated tour run by a tour company, but you are rarely allowed to venture outside of the itinerary. For those of you who want to see what Cuba has to offer without someone breathing down your neck, you're going to have to fly to a country with diplomatic relations with them and buy a ticket from there. The food, the people, the chic 1950s Barcelona vibe, and the music are all reasons to visit this beautiful country.
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