Question: What is the capital of the county where Arcadia is located, in the state where the Federal Correctional Complex is in Terre Haute?

full_context: Document 1: Center Township, Marion County, Indiana: Center Township is one of nine townships in Marion County, Indiana, in the United States. As of the 2010 census, its population was 142,787 and it contained 76,872 housing units. It is the most populated township in Marion County.
Document 2: Capital punishment in the United States: Other capital crimes include: the use of a weapon of mass destruction resulting in death, espionage, terrorism, certain violations of the Geneva Conventions that result in the death of one or more persons, and treason at the federal level; aggravated rape in Louisiana, Florida, and Oklahoma; extortionate kidnapping in Oklahoma; aggravated kidnapping in Georgia, Idaho, Kentucky and South Carolina; aircraft hijacking in Alabama and Mississippi; assault by an escaping capital felon in Colorado; armed robbery in Georgia; drug trafficking resulting in a person's death in Florida; train wrecking which leads to a person's death, and perjury which leads to a person's death in California, Colorado, Idaho and Nebraska.
Document 3: Arcadia, Indiana: Arcadia is a town in Jackson Township, Hamilton County, Indiana, United States. The population was 1,666 at the 2010 census.
Document 4: Jackson Township, Clinton County, Indiana: Jackson Township is one of fourteen townships in Clinton County, Indiana. As of the 2010 census, its population was 1,173 and it contained 469 housing units. The township was named for President Andrew Jackson.
Document 5: Wayne Township, Allen County, Indiana: Wayne Township is one of twenty townships in Allen County, Indiana, United States. As of the 2010 census, its population was 103,803.
Document 6: Wayne Township, Hamilton County, Indiana: Wayne Township is one of nine townships in Hamilton County, Indiana, United States and serves as one of two townships within Noblesville, Indiana's jurisdiction. As of the 2010 census, its population was 7,886 and it contained 3,252 housing units, an increase from 2415 in 2000, as Noblesville continues to expand eastward and Fishers reaches its northern limits. In 2007, Noblesville officially opened one of the largest mixed use developments in the state, called the Noblesville Corporate Campus. A portion of the development is located within the township. When completed, it will include a large industrial/commercial park, several housing developments, hotels, greenspace and a large outdoor shopping center called Hamilton Town Center, being built by the Simon Property Group, headquartered in nearby Indianapolis.
Document 7: Capital punishment in the United States: Capital punishment is a legal penalty in the United States, currently used by 31 states and the federal government. Its existence can be traced to the beginning of the American colonies. The United States is the only Western country currently applying the death penalty, one of 57 countries worldwide applying it, and was the first to develop lethal injection as a method of execution, which has since been adopted by five other countries.
Document 8: Arcadia, Oklahoma: Arcadia is a town in Oklahoma County, Oklahoma, United States, and a part of the Oklahoma City metropolitan area. The population was 247 at the 2010 census, a decrease of 11.5 percent from 279 at the 2000 census.
Document 9: Arcadia, North Carolina: Arcadia is an unincorporated community in Davidson County, North Carolina. It is located in the northwestern section of the county along NC Highway 150. Neighboring communities and municipalities include Midway, Welcome, and Winston-Salem.
Document 10: Capital punishment in the United States: Capital punishment is a legal penalty in the United States, currently used by 31 states, the federal government, and the military. Its existence can be traced to the beginning of the American colonies. The United States is the only Western country currently applying the death penalty, one of 54 countries worldwide applying it, and was the first to develop lethal injection as a method of execution, which has since been adopted by five other countries.
Document 11: Center Township, Wayne County, Indiana: Center Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 7,579 and it contained 3,204 housing units.
Document 12: Capital punishment in the United States: Capital punishment is a legal penalty in the United States, currently used by 31 states, the federal government, and the military. Its existence can be traced to the beginning of the American colonies. The United States is the only Western country currently applying the death penalty, one of 58 countries worldwide applying it, and was the first to develop lethal injection as a method of execution, which has since been adopted by five other countries.
Document 13: Harrison Township, Wayne County, Indiana: Harrison Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 392 and it contained 138 housing units.
Document 14: Capital punishment in the United States: The method of execution of federal prisoners for offenses under the Violent Crime Control and Law Enforcement Act of 1994 is that of the state in which the conviction took place. If the state has no death penalty, the judge must choose a state with the death penalty for carrying out the execution. For offenses under the Drug Kingpin Act of 1988, the method of execution is lethal injection. The Federal Correctional Complex in Terre Haute, Indiana is currently the home of the only death chamber for federal death penalty recipients in the United States, where inmates are put to death by lethal injection. The complex has so far been the only location used for federal executions post-Gregg. Timothy McVeigh and Juan Garza were put to death in June 2001, and Louis Jones, Jr. was put to death on March 18, 2003.
Document 15: Arcadia Township, Carroll County, Iowa: Arcadia Township is one of eighteen townships in Carroll County, Iowa, USA. As of the 2000 census, its population was 752.
ground_truth: Noblesville
sub_queries: In what state is the Federal Correctional Complex in Terre Haute? Answer: Indiana
Arcadia, Indiana >> located in the administrative territorial entity Answer: Hamilton County
Hamilton County >> capital Answer: Noblesville