Question: What county is Carpenter located in the state where the Badlands is located?

full_context: Document 1: 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 2: Andrew Carpenter House: The Andrew Carpenter House on State Road 1820 in Gaston County, North Carolina, is believed to have been built for Andrew Carpenter shortly after his marriage to Sophia Smith on April 19, 1831. The two-story Federal style plantation house is two rooms deep and has paired chimneys. It is one of the largest early-19th century houses in Gaston County.
Document 3: Carpenter, South Dakota: Carpenter is an unincorporated community in Clark County, South Dakota, United States. Although not tracked by the Census Bureau, Carpenter has been assigned the ZIP code of 57322.
Document 4: Carpenter, Oklahoma: Carpenter is an unincorporated community in Roger Mills and Custer counties in the state of Oklahoma, United States. The community is eight miles north of Elk City, Oklahoma.
Document 5: Bath, South Dakota: Bath is an unincorporated community and census-designated place in Brown County, South Dakota, United States. As of the 2010 census, Bath had a population of 172. Bath has been assigned the ZIP code of 57427.
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: Renner, South Dakota: Renner is an unincorporated community in Minnehaha County in the U.S. state of South Dakota. Renner has been assigned the ZIP code of 57055. The demographics of Renner are not listed separately by the United States Census Bureau, but are included within those of Mapleton Township. The 2000 Census reported a total population of 2,128 for all of Mapleton Township.
Document 8: Carpenter, Iowa: As of the census of 2010, there were 109 people, 47 households, and 27 families residing in the city. The population density was 681.3 inhabitants per square mile (263.1/km2). There were 51 housing units at an average density of 318.8 per square mile (123.1/km2). The racial makeup of the city was 98.2% White and 1.8% African American.
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: Watauga, South Dakota: Watauga is an unincorporated community in Corson County, South Dakota, United States. Although not tracked by the Census Bureau, Watauga has been assigned the ZIP code of 57660.
Document 11: 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 12: 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 13: 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 14: 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 15: Corson, South Dakota: Corson is an unincorporated community in Brandon Township, Minnehaha County, South Dakota, United States with a population of 70. It lies immediately north of Interstate 90 and Brandon on South Dakota Highway 11. Once mainly a railroad and farming community, it is becoming an industrial area supporting the county. Sioux Falls is located twelve miles west-southwest of the community.
ground_truth: Clark County
sub_queries: part of this state is called the badlands Answer: South Dakota
Carpenter, South Dakota >> located in the administrative territorial entity Answer: Clark County