The correct answer is B) 9,733 long tons. The lightweight of a vessel is the weight of the ship itself, excluding any cargo, fuel, water, stores, passengers, or crew. This information is typically found in the vessel's specifications or documentation. Based on the details provided, the lightweight of the DEEP DRILLER is 9,733 long tons, which makes option B the correct answer. The other options are incorrect because they do not accurately reflect the lightweight of the DEEP DRILLER. Option A (680,914 long tons) is too high, option C (5,937 long tons) is too low, and option D (6,716 long tons) is also too low compared to the actual lightweight of 9,733 long tons.