What happened to Schleswig and Holstein after the German-Danish War?

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Otto von Bismarck in military uniform and cap, with a mustache, facing slightly to the side in a black-and-white portrait taken around 1880. — Otto von Bismarck Otto von Bismarck.

Following the German-Danish War, the Treaty of Vienna (October 1864) resulted in King Christian IX of Denmark ceding the duchies of Schleswig and Holstein to Austria and Prussia jointly.12

Initially, the two powers established a condominium over the territories. However, tensions regarding their administration led to the Convention of Gastein in August 1865, which assigned the administration of Holstein to Austria and Schleswig to Prussia.1

This arrangement was short-lived, as the underlying conflict over supremacy in Germany triggered the Seven Weeks’ War in 1866. Following Prussia's victory, the Peace of Prague (August 1866) resulted in both duchies being ceded to Prussia.123