From 1805 to 1847, Detroit was the capital of Michigan (first the territory, then the state). Detroit surrendered without a fight to British troops during the War of 1812 in the Siege of Detroit. The Battle of Frenchtown (January 1823, 1813) was part of a United States effort to retake the city, and American troops suffered their highest fatalities of any battle in the war. This battle is commemorated at River Raisin National Battlefield Park south of Detroit in Monroe County. Detroit was finally recaptured by the United States later that year.
Try to answer this question if possible (otherwise reply "unanswerable"): In which year was Detroit recaptured?
1813