Question: What is the population of Desmet in the state where COld Brook Dam is located?

full_context: Document 1: South Fork Grand River (South Dakota): It rises in the Badlands of northwestern South Dakota, south of the Cave Hills in western Harding County, and flows east past Buffalo, then past several units of the Grand River National Grassland in northern Perkins County. It joins the North Fork in the Shadehill Reservoir near to form the Grand, which is a tributary of the Missouri.
Document 2: Cold Brook Dam: Cold Brook Dam is a dam in Fall River County, South Dakota in the southwestern part of the state, south of the Black Hills.
Document 3: Sweetwater Dam: The Sweetwater Dam is a dam across the Sweetwater River in San Diego County, California. It is located approximately east of San Diego, and borders Bonita to the southwest and La Presa to the northeast. The -high masonry arch dam impounds Sweetwater Reservoir.
Document 4: De Smet, South Dakota: De Smet is a city in and the county seat of Kingsbury County, South Dakota, United States. The population was 1,089 at the 2010 census.
Document 5: Rapid Creek (South Dakota): It rises in southwestern South Dakota, in the Black Hills National Forest in the Black Hills in Pennington County. It flows east, is joined by Castle Creek, past Silver City and through the Pactola Reservoir. Emerging from the Black Hills, it flows through Rapid City, past Farmingdale, and joins the Cheyenne River approximately 13 mi (21 km) southwest of Wasta.
Document 6: Custer, South Dakota: Custer is a city in Custer County, South Dakota, United States. The population was 1,987 at the 2010 census. It is the county seat of Custer County.
Document 7: Keyhole State Park: The Keyhole Reservoir, an impoundment of the Belle Fourche River, was formed by the Keyhole Dam project of the United States Bureau of Reclamation, completed in 1952. The reservoir has a total capacity of 334,200 acre-feet and water surface of 13,700 acres, which provides storage for irrigation, flood control, fish and wildlife conservation, recreation, sediment control, and municipal and industrial water supply. Although located in Wyoming, the reservoir's waters are allocated by compact to go 90 percent to South Dakota and 10 percent to Wyoming.
Document 8: Armour, South Dakota: Armour is a city in and the county seat of Douglas County, South Dakota, United States. The population was 699 at the 2010 census.
Document 9: Deerfield Dam: Deerfield Dam is a dam impounding Castle Creek in the Black Hills of South Dakota. The dam creates Deerfield Reservoir within the Black Hills National Forest.
Document 10: Dakota City, Nebraska: Dakota City is a city in Dakota County, Nebraska, United States. The population was 1,919 at the 2010 census. It is the county seat of Dakota County. Tyson Foods' largest beef production plant is located in Dakota City.
Document 11: Belle Fourche Dam: The Belle Fourche Dam, also known as Orman Dam, is a dam on Owl Creek in Butte County, South Dakota, USA, approximately eight miles east of Belle Fourche, South Dakota, along U.S. Route 212. Its construction created the Belle Fourche Reservoir, the Belle Fourche National Wildlife Refuge, and the Rocky Point Recreation Area.
Document 12: Buffalo County, South Dakota: In 2010, the center of population of South Dakota was located in eastern Buffalo County. The Crow Creek Indian Reservation, inhabited by the Crow Creek Sioux Tribe makes up the majority of Buffalo County.
Document 13: Hayti, South Dakota: Hayti (pronounced "HAY-tie") is a town in Hamlin County, South Dakota, United States. The population was 381 at the 2010 census. It is part of the Watertown, South Dakota Micropolitan Statistical Area. It is the county seat of Hamlin County.
Document 14: Canton, South Dakota: Canton is a city in and the county seat of Lincoln County, South Dakota, United States. Canton is located 20 minutes south of Sioux Falls in southeastern South Dakota. Canton is nestled in the rolling hills of the Sioux Valley, providing an abundance of recreational activities with the Big Sioux River bordering the eastern side, Newton Hills State Park to the south, and Lake Alvin to the north. The city was named by Norwegian settler and former legislator James M. Wahl. The population is estimated to be 3,430 as of 2017.
Document 15: Yankton, South Dakota: Yankton is a city in, and the county seat of, Yankton County, South Dakota, United States. The population was 14,454 at the 2010 census. Yankton is the principal city of the Yankton Micropolitan Statistical Area, which includes the entirety of Yankton County, and which had an estimated population of 22,702 as of July 1, 2015.
ground_truth: 1,089
sub_queries: Which state is Cold Brook Dam located? Answer: South Dakota
what is the population of desmet South Dakota Answer: 1,089