SIOUX FALLS, S.D. (AP) — Much of the Dakotas could be in store for significant snowfall by midweek.

The National Weather Service has posted winter storm watches and advisories in the western and central portions of the two states for Tuesday into Wednesday.

Forecasters say a foot or more of snow could fall in the northern Black Hills of South Dakota. Other areas could see about half a foot of snow. Freezing drizzle also could fall in western and central North Dakota and central and eastern South Dakota.

The weather service says there is no arctic air moving down with the system, so high temperatures will remain in the 20s and 30s and wind chills likely will stay above zero. It could be breezy, though, with blowing snow that could hamper motorists.

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