Where in the world won independence in 1902?

Identify this country using the following clues:

1) Stretches 1,200km from east to west, but it’s only 100km wide in most places. 

2) Won independence in 1902

3) Ernest Hemingway lived here for 20 years

4) Most popular sport is baseball 

5) Biggest exports are tobacco, sugar, and nickel

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