Cuban officials have long limited the public’s access to the Internet and digital videos, tearing down unauthorized satellite dishes and keeping down the number of Internet cafes open to Cubans. Only one Internet cafe remains open in Old Havana, down from three a few years ago.

Hidden in a small room in the depths of the Capitol building, the state-owned cafe charges a third of the average Cuban’s monthly salary — about $5 — to use a computer for an hour. The other two former Internet cafes in central Havana have been converted into “postal services” that let Cubans send e-mail messages over a closed network on the island with no links to the Internet.

“It’s a sort of telegraph service,” said one young man, shrugging as he waited in line to use the computers at a former Internet cafe on O’Reilly Street.

Yet the government’s attempts to control access are increasingly ineffective. Young people here say there is a thriving black market giving thousands of people an underground connection to the world outside the Communist country.

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