Preheat a grill to medium-high heat.
Cut the lemons
in half and dip each lemon half in the sugar. Grill
the lemon halves cut-side down until grill marks appear, about 6 minutes. Remove from the grill and let cool.
In a medium saucepan, combine the 1/2 cup sugar, 1/2 cup water, honey
and rosemary. Place the saucepan
on the grill and heat until the sugar and honey are fully dissolved, about 5 minutes.
Squeeze the cooled lemons into a pitcher or large punch
bowl. Add the sugar and honey mixture to the lemon juice
, along with the vodka, ice and water to taste.
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