Set 1 oven rack on the highest level, then preheat broiler.
Using a small serrated knife, cut around grapefruit to separate the fruit from the skin and the segments from each other (just like your mother did for you). Pour out a bit of the grapefruit juice to make room for the vodka.
Immediately before broiling, sprinkle 1 1/2 teaspoons of sugar over the top of each grapefruit half.
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