Question: Who is Charles Xiii Of Sweden's paternal grandfather?

Knowledge 1: Charles XIII of Sweden
Charles XIII, or Carl XIII, (7 October 1748 – 5 February 1818), was King of Sweden (as "Charles XIII") from 1809 and King of Norway (proclaimed as Charles XIII but in recent times accurately referred to as Charles II) from 1814 to his death.He was the second son of King Adolf Frederick of Sweden and Louisa Ulrika of Prussia, sister of Frederick the Great.Though known as King Charles XIII in Sweden, he was actually the seventh Swedish king by that name, as Charles IX (reigned 1604–1611)had adopted his numeral after studying a fictitious history of Sweden. [SEP] Knowledge 2: Adolf Frederick, King of Sweden
Adolf Frederick or Adolph Frederick (14 May 171012 February 1771) was King of Sweden from 1751 until his death.He was the son of Christian August of Holstein-Gottorp, Prince of Eutin, and Albertina Frederica of Baden-Durlach.The first king from the House of Holstein-Gottorp, Adolf Frederick was a weak monarch, instated as first in line of the throne following the parliamentary government's failure to reconquer the Baltic provinces in 1741–43.Aside from a few attempts, supported by pro-absolutist factions among the nobility, to reclaim the absolute monarchy held by previous monarchs, he remained a mere constitutional figurehead until his death.His reign saw an extended period of internal peace, although the finances stagnated following failed mercantilist doctrines pursued by the Hat administration.The Hat administration ended only in the 1765–66 parliament, where the Cap opposition overtook the government and enacted reforms towards greater economic liberalism as well as a Freedom of Press Act almost unique at the time for its curtailing of all censorship, retaining punitive measures only for libeling the monarch or the Church of Sweden.
Knowledge 1: Adolf Frederick, King of Sweden
Adolf Frederick or Adolph Frederick (14 May 171012 February 1771) was King of Sweden from 1751 until his death.He was the son of Christian August of Holstein-Gottorp, Prince of Eutin, and Albertina Frederica of Baden-Durlach.The first king from the House of Holstein-Gottorp, Adolf Frederick was a weak monarch, instated as first in line of the throne following the parliamentary government's failure to reconquer the Baltic provinces in 1741–43.Aside from a few attempts, supported by pro-absolutist factions among the nobility, to reclaim the absolute monarchy held by previous monarchs, he remained a mere constitutional figurehead until his death.His reign saw an extended period of internal peace, although the finances stagnated following failed mercantilist doctrines pursued by the Hat administration.The Hat administration ended only in the 1765–66 parliament, where the Cap opposition overtook the government and enacted reforms towards greater economic liberalism as well as a Freedom of Press Act almost unique at the time for its curtailing of all censorship, retaining punitive measures only for libeling the monarch or the Church of Sweden. [SEP] Knowledge 2: Sophia Albertina, Abbess of Quedlinburg
Princess Sophia Albertina of Sweden(" Sophia Maria Lovisa Fredrika Albertina"; 8 October 1753 – 17 March 1829) was the last Princess- Abbess of Quedlinburg Abbey, and as such reigned as vassal monarch of the Holy Roman Empire.Sophia Albertina was the daughter of King Adolf Frederick of Sweden and Louisa Ulrika of Prussia.She was thus a princess of Sweden, a princess of Holstein- Gottorp and a sister to Gustav III of Sweden.She was a member of the Accademia di San Luca.When her brother Charles XIII of Sweden and the rest of the royal family also became Norwegian royalty in 1814, that did not include Sophia Albertina who then officially was called" Royal Princess"( of no country).She was given her two names as namesake of her two grandmothers: the Prussian Queen Sophia Dorothea of Hanover and Margravine Albertina Frederica of Baden- Durlach.
Knowledge 1: Charles XIII of Sweden
Charles XIII, or Carl XIII, (7 October 1748 – 5 February 1818), was King of Sweden (as "Charles XIII") from 1809 and King of Norway (proclaimed as Charles XIII but in recent times accurately referred to as Charles II) from 1814 to his death.He was the second son of King Adolf Frederick of Sweden and Louisa Ulrika of Prussia, sister of Frederick the Great.Though known as King Charles XIII in Sweden, he was actually the seventh Swedish king by that name, as Charles IX (reigned 1604–1611)had adopted his numeral after studying a fictitious history of Sweden. [SEP] Knowledge 2: Kaya Alp
Kaya Alp was, according to Ottoman tradition, the son of Kızıl Buğa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertuğrul, and the great grandfather of the Ottoman Empire founder, Osman I.

Answer: Christian August of Holstein-Gottorp, Prince of Eutin