question: Who is the father-in-law of Princess Amalia Of Nassau-Dietz?
context: [["William I, Count of Nassau-Dillenburg", ["William I, Count of Nassau- Dillenburg( nicknamed\" William the Rich\",; 10 April", "1487 \u2013 6 October 1559) was a count of Nassau- Dillenburg from the House of Nassau.", "His nickname\" the Rich\" refers to him having many children.", "However, he owned a number of counties: Nassau- Dillenburg, Nassau- Siegen, Nassau- Dietz and Vianden.", "William was born in Dillenburg as the younger son of Count John V of Nassau- Dillenburg and Landgravine Elisabeth, daughter of Landgrave Henry III of Hesse- Marburg and Anna of Katzenelnbogen.", "He was the brother of count Henry III of Nassau- Breda and the father of William I of Orange.", "His eldest son William the Silent inherited the principality of Orange in Southern France from his cousin Ren\u00e9 of Chalon, as well as the vast properties of the House of Nassau- Dillenburg in the Netherlands from his father, which Engelbert I of Nassau had received by marriage in 1403.", "The early House of Orange- Nassau descends from William I., the Silent, while the later House of Orange- Nassau( and the Dutch royal family) descends in the male line from his younger brother John, Count of Nassau- Dillenburg, and from the latter's fifth son, Count Ernst Casimir of Nassau- Dietz, however in the female line also from William of Orange."]], ["Henry I, Count of Nassau-Siegen", ["Henry I of Nassau- Siegen,( \u2013 between 13 July and 14 August 1343) was Count of Nassau- Siegen, a part of the County of Nassau, and ancestor of the House of Nassau- Siegen.", "He comes from the Ottonian branch of the House of Nassau."]], ["Princess Amalia of Nassau", ["Princess Amalia of Nassau(\" Amalia Gabriela Maria Teresa\"; born 15 June 2014) is a Luxembourgish princess and the eldest child of Prince F\u00e9lix and Princess Claire of Luxembourg.", "She is the only granddaughter and third grandchild of Grand Duke Henri.", "She is currently third in the line of succession, behind her paternal uncle Hereditary Grand Duke Guillaume and her father.", "She has a brother, Prince Liam of Nassau."]], ["Princess Amalia of Nassau-Dietz", ["Princess Amalia of Nassau-Dietz (Anna Charlotte Amalie; \u2013 18 September 1777) was the wife of Frederick, Hereditary Prince of Baden-Durlach, and mother of Charles Frederick, the first Grand Duke of Baden."]], ["Countess Albertine Agnes of Nassau", ["Albertine Agnes of Nassau( April 9, 1634 \u2013 May 26, 1696), was regent of Friesland, Groningen and Drenthe during the minority of her son Henry Casimir II, Count of Nassau- Dietz.", "She was the sixth child and fifth daughter of stadtholder Frederick Henry, Prince of Orange and Amalia of Solms- Braunfels."]], ["Frederick, Hereditary Prince of Baden-Durlach", ["Frederick, Hereditary Prince of Baden-Durlach (7 October 1703 \u2013 26 March 1732) was a German hereditary prince of the Margraviate of Baden-Durlach.", "Frederick was the son of Charles III William, Margrave of Baden-Durlach, and Magdalena Wilhelmine of W\u00fcrttemberg (7 November 1677 - 30 October 1742), the daughter of William Louis, Duke of W\u00fcrttemberg.", "He became heir apparent when his elder brother Charles Magnus died in 1712.", "However, he died before his father did and therefore never came to government in Durlach.", "He served in the imperial army.", "In 1724, he was appointed colonel, in 1728, he was promoted to major general."]], ["Walram II, Count of Nassau", ["Walram II of Nassau,( \u2013 24 January 1276), was Count of Nassau and is the ancestor of the Walramian branch of the House of Nassau."]], ["Elisabeth of Nassau-Dillenburg, Countess of Wied", ["Elisabeth of Nassau-Dillenburg (1 December 1488 \u2013 3 June 1559 in Dillenburg) was a member of the House of Nassau.", "She was a daughter of John V of Nassau-Dillenburg and his wife Elisabeth of Hesse-Marburg.", "Her brothers were Henry III of Nassau-Breda, John of Nassau-Vianden-Dietz, Ernest of Nassau and William the Rich.", "Her sister was Maria of Nassau."]], ["Henry Casimir I of Nassau-Dietz", ["Henry Casimir I of Nassau-Dietz (21 January 1612 \u2013 13 July 1640) was count of Nassau-Dietz and Stadtholder of Friesland, Groningen and Drenthe."]], ["Ernest Casimir I, Count of Nassau-Dietz", ["Ernst Casimir I of Nassau-Dietz (22 December 1573 in Dillenburg \u2013 2 June 1632 in Roermond) was count of Nassau-Dietz and Stadtholder of Friesland, Groningen and Drenthe."]]]
supporting_facts: [["Princess Amalia of Nassau-Dietz", 0], ["Frederick, Hereditary Prince of Baden-Durlach", 1]]
evidences: [["Princess Amalia of Nassau-Dietz", "spouse", "Frederick, Hereditary Prince of Baden-Durlach"], ["Frederick, Hereditary Prince of Baden-Durlach", "father", "Charles III William"]]
answer: Charles III William