Question: Where are the badlands located within the state where Cold Brook Dam is found?

full_context: Document 1: 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 2: Bears Ears National Monument: Bears Ears National Monument is a United States national monument located in San Juan County in southeastern Utah, established by President Barack Obama by presidential proclamation on December 28, 2016. The monument's original size was 1,351,849 acres (547,074 ha), which was controversially reduced 85% by President Donald Trump on December 4, 2017. The monument protects the public land surrounding the Bears Ears -- a pair of buttes -- and the Indian Creek corridor rock climbing area. The Native American names for the buttes have the same meaning in each of the languages represented in the region. The names are listed in the presidential proclamation as ``Hoon'Naqvut, Shash Jáa (sic), Kwiyagatu Nukavachi, Ansh An Lashokdiwe ''-- all four mean`` Bears Ears''.
Document 3: 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 4: Badlands National Park: Badlands National Park (Lakota: Makȟóšiča) is a national park of the United States located in southwestern South Dakota. It protects 242,756 acres (379.306 sq mi; 98,240 ha) of sharply eroded buttes, pinnacles, and spires blended with the largest undisturbed mixed grass prairie in the United States. The park is managed by the National Park Service.
Document 5: Badlands National Park: Authorized as Badlands National Monument on March 4, 1929, it was not established until January 25, 1939. It was redesignated a national park on November 10, 1978.
Document 6: Oklahoma: With 39,000 acres (158 km2), the Tallgrass Prairie Preserve in north-central Oklahoma is the largest protected area of tallgrass prairie in the world and is part of an ecosystem that encompasses only 10 percent of its former land area, once covering 14 states. In addition, the Black Kettle National Grassland covers 31,300 acres (127 km2) of prairie in southwestern Oklahoma. The Wichita Mountains Wildlife Refuge is the oldest and largest of nine national wildlife refuges in the state and was founded in 1901, encompassing 59,020 acres (238.8 km2).
Document 7: 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 8: 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 9: Grasslands National Park: Grasslands National Park is a Canadian national park located near the village of Val Marie, Saskatchewan, and one of 44 national parks and park reserves in Canada's national park system (though one of only two in Saskatchewan itself). This national park is north from the American state of Montana and lies adjacent to the international boundary.
Document 10: Red Desert (Wyoming): The Red Desert is a high altitude desert and sagebrush steppe located in south central Wyoming, comprising approximately 9,320 square miles (24,000 km). Among the natural features in the Red Desert region are the Great Divide Basin, a unique endorheic drainage basin formed by a division in the Continental Divide, and the Killpecker Sand Dunes, the largest living dune system in the United States. In the 19th century, the Oregon, California and Mormon Trails crossed the Continental Divide at South Pass, just north of the Red Desert. Today, busy Interstate 80 bisects the desert's southern region while gas field roads cross the desert.
Document 11: Theodore Roosevelt National Park: Theodore Roosevelt National Park is a United States National Park comprising three geographically separated areas of badlands in western North Dakota. The park was named for U.S. President Theodore Roosevelt. The park covers 70,446 acres (110.072 sq mi; 28,508 ha; 285.08 km) of land in three sections: the North Unit, the South Unit, and the Elkhorn Ranch Unit.
Document 12: Needles (Black Hills): The Needles of the Black Hills of South Dakota are a region of eroded granite pillars, towers, and spires within Custer State Park. Popular with rock climbers and tourists alike, the Needles are accessed from the Needles Highway, which is a part of Sylvan Lake Road (SD 87/89). The Cathedral Spires and Limber Pine Natural Area, a 637-acre portion of the Needles containing six ridges of pillars as well as a disjunct stand of limber pine, was designated a National Natural Landmark in 1976.
Document 13: 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 14: 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 15: 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.
ground_truth: southwestern South Dakota
sub_queries: Which state is Cold Brook Dam located? Answer: South Dakota
where are the badlands located in South Dakota Answer: southwestern South Dakota