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Take a look on maps, from Chuí - Rio Grande do Sul - Brazil to Paraty - Rio de Janeiro. From Chuí to Rio Grande it's one gigantic nothing, 250 km of continuous beach, it's the biggest beach in the world called Cassino. I hopping to do this part in 2 days max as I've already done it by 4x4 three times.

Nice trip, good luck!