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1
Soak noodles in cold water to cover 30 minutes.
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2
While noodles soak, stir together all glaze ingredients in a small bowl. Stir together all sauce ingredients in another small bowl.
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3
Preheat oven to 450u00b0F with rack in middle.
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4
Blanch carrots in a small saucepan of boiling water 30 seconds, then transfer to a large bowl with a slotted spoon. Return water to a boil and cook beans until crisp-tender, about 2 minutes. Transfer to bowl with carrots.
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5
Bring a pasta pot of water to a boil.
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6
Meanwhile, put duck legs, skin sides up, on rack of a broiler pan, then pour 1 cup water into bottom of pan. Brush or spoon about half of glaze over skin side of duck. Roast duck until well browned, about 20 minutes.
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7
Turn on broiler. Brush duck with remaining glaze, then broil 3 to 4 inches from heat until skin is bubbling and lightly charred around edges, about 2 minutes more. Keep warm, covered.
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8
Drain noodles, then cook in boiling water 30 seconds. Reserve 1 cup cooking water and drain noodles again.
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9
Add hot noodles, sauce, and scallions to carrots and beans and toss with tongs until well coated with sauce, adding some of reserved cooking liquid to moisten if necessary
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10
Add hot noodles, sauce, and scallions to carrots and beans and toss with tongs until well coated with sauce, adding some of reserved cooking liquid to moisten if necessary