question: Who is the paternal grandfather of Nguyễn Phúc Hồng Cai?
context: [["Nguy\u1ec5n Ph\u00fac Mi\u00ean B\u1eedu", ["Nguy\u1ec5n Ph\u00fac Mi\u00ean B\u1eedu( 30 May 1820 \u2013 8 March 1854) was a prince of Nguy\u1ec5n dynasty, Vietnam.", "He was the twelfth son of Minh M\u1ea1ng, and his mother was H\u1ed3 Th\u1ecb T\u00f9y.", "In 1843, he was granted the title T\u01b0\u01a1ng An C\u00f4ng( \u8944\u5b89\u516c,\" Duke of T\u01b0\u01a1ng An\") by Emperor Thi\u1ec7u Tr\u1ecb, and became the teacher of two princes, Nguy\u1ec5n Ph\u00fac H\u1ed3ng B\u1ea3o and Nguy\u1ec5n Ph\u00fac H\u1ed3ng Nh\u1eadm( later Emperor T\u1ef1 \u0110\u1ee9c).", "H\u1ed3ng B\u1ea3o disliked studying, so Thi\u1ec7u Tr\u1ecb did not like him, and lost his succession of the throne.", "Thi\u1ec7u Tr\u1ecb died in 1847, and appointed H\u1ed3ng B\u1ea3o's younger brother H\u1ed3ng Nh\u1eadm as successor.", "In 1854, H\u1ed3ng B\u1ea3o plotted a rebellion against T\u1ef1 \u0110\u1ee9c and was forced to commit suicide.", "Mi\u00ean B\u1eedu was suspected of taking in this plot, but there was no evidence.", "Feeling sad for the fate of H\u1ed3ng B\u1ea3o, he died in the same year.", "Finally,", "T\u1ef1 \u0110\u1ee9c decided to pardon him, and granted him the title T\u01b0\u01a1ng An Qu\u1eadn V\u01b0\u01a1ng( \u8944\u5b89\u90e1\u738b,\" Provincial Prince of T\u01b0\u01a1ng An\") in 1878 posthumously.", "Mi\u00ean B\u1eedu was good at writing Vietnamese poetry.", "He and Nguy\u1ec5n Ph\u00fac Mi\u00ean Th\u1ea9m( Prince of T\u00f9ng Thi\u1ec7n), Nguy\u1ec5n Ph\u00fac Mi\u00ean Trinh( Prince of Tuy L\u00fd), were known as\" Tam \u0110\u01b0\u1eddng\"( \u4e09\u5802) of Nguy\u1ec5n dynasty.", "He was a member of\" M\u1ea1c V\u00e2n thi x \u00e3 M\u1ea1c V\u00e2n Poetry Society\").", "Nguy\u1ec5n Ph\u00fac Mi\u00ean \u0110\u1ecbnh( Prince of Th\u1ecd Xu\u00e2n), Nguy\u1ec5n Ph\u00fac Mi\u00ean", "Th\u1ee7( Prince of H\u00e0m Thu\u1eadn), Nguy\u1ec5n Ph\u00fac Mi\u00ean Th\u1ea9m( Prince of T\u00f9ng Thi\u1ec7n), Nguy\u1ec5n Ph\u00fac Mi\u00ean Trinh( Prince of Tuy L\u00fd), Nguy\u1ec5n Ph\u00fac Mi\u00ean Tri\u1ec7n( Prince of Ho\u1eb1ng H\u00f3a), Nguy\u1ec5n V\u0103n Si\u00eau, Cao B\u00e1 Qu\u00e1t, H\u00e0 T\u00f4n Quy\u1ec1n, Phan Thanh Gi\u1ea3n and Nguy\u1ec5n \u0110\u0103ng Giai were also members of this poetry society."]], ["Nguy\u1ec5n Ph\u00fac Mi\u00ean Trinh", ["Nguy\u1ec5n Ph\u00fac Mi\u00ean Trinh( 3 February 1820 \u2013 18 November 1897), born Nguy\u1ec5n Ph\u00fac Th\u01b0( \u962e\u798f\u66f8), was a prince of Nguy\u1ec5n dynasty, Vietnam."]], ["\u0110\u00e0o Duy T\u1eeb", ["\u0110\u00e0o Duy T\u1eeb( 1572 \u2013 1634) was a Vietnamese scholar, poet, military adviser, and mandarin who served under the reign of Nguy\u1ec5n lord Nguy\u1ec5n Ph\u00fac Nguy\u00ean."]], ["Nguy\u1ec5n Ph\u00fac H\u1ed3ng Cai", ["Nguy\u1ec5n Ph\u00fac H\u1ed3ng Cai (\u962e\u798f\u6d2a\u4f85, 13 December 1845 \u2013 15 May 1876) was a prince of Nguy\u1ec5n dynasty, Vietnam.", "He was the father of three emperors:", "Ki\u1ebfn Ph\u00fac, \u0110\u1ed3ng Kh\u00e1nh and H\u00e0m Nghi.", "H\u1ed3ng Cai was the twenty-sixth son of Thi\u1ec7u Tr\u1ecb, and his mother was Tr\u01b0\u01a1ng Th\u1ecb V\u0129nh.", "He was a filial son and liked studying.", "He was granted the title Ki\u00ean Qu\u1ed1c C\u00f4ng (\u5805\u570b\u516c, \"Duke of Ki\u00ean\") in 1865.", "T\u1ef1 \u0110\u1ee9c had no child, and adopted his two sons, \u01afng \u0110\u0103ng and \u01afng Th\u1ecb, whom later became Emperor Ki\u1ebfn Ph\u00fac and Emperor \u0110\u1ed3ng Kh\u00e1nh respectively.", "H\u1ed3ng Cai died in 1876 and received the posthumous name Thu\u1ea7n Ngh\u1ecb (\u7d14\u6bc5).", "He was buried in H\u01b0\u01a1ng Th\u1ee7y.", "In 1885, \u0110\u1ed3ng Kh\u00e1nh ascended the throne, and granted him the title Ki\u00ean V\u01b0\u01a1ng (\u5805\u738b, \"Prince of Ki\u00ean\") posthumously.", "Later, his title was elevated to Ki\u00ean Th\u00e1i V\u01b0\u01a1ng (\u5805\u592a\u738b, \"King Father Ki\u00ean\") in 1888."]], ["T\u1ef1 \u0110\u1ee9c", ["T\u1ef1 \u0110\u1ee9c( lit.\" inheritance of virtues\", 22 September 1829 \u2013 17 July 1883)( personal name: Nguy\u1ec5n Ph\u00fac H\u1ed3ng Nh\u1eadm, also Nguy\u1ec5n Ph\u00fac Th\u00ec) was the fourth emperor of the Nguy\u1ec5n dynasty of Vietnam; he ruled from 1847 to 1883."]], ["Th\u1eeba Thi\u00ean (empress)", ["Empress Th\u1eeba Thi\u00ean( 1762\u20131814), born T\u1ed1ng Ph\u00fac Th\u1ecb Lan( \u5b8b\u798f\u6c0f\u862d), was the first wife of Nguy\u1ec5n Ph\u00fac \u00c1nh( future Emperor Gia Long) and mother of Crown Prince Nguy\u1ec5n Ph\u00fac C\u1ea3nh.", "She was a daughter of general T\u1ed1ng Ph\u01b0\u1edbc Khu\u00f4ng of Nguy\u1ec5n lords.", "Nguy\u1ec5n", "\u00c1nh married her when he was at the age of 18.", "Empress Th\u1eeba Thi\u00ean had two sons with Gia Long: Nguyen Phuc Chieu( who died after several days) and Crown Prince Nguy\u1ec5n Ph\u00fac C\u1ea3nh.", "After her death, she was buried at Gia Long's Thi\u00ean Th\u1ecd tomb, alongside the Emperor."]], ["Nguy\u1ec5n Ph\u00fac Lu\u00e2n", ["Nguy\u1ec5n Ph\u00fac Lu\u00e2n or Nguy\u1ec5n Ph\u00fac C\u00f4n( \u962e\u798f\u3afb, 1733 \u2013 1765) was a son of lord Nguy\u1ec5n Ph\u00fac Kho\u00e1t and father of Nguy\u1ec5n Ph\u00fac \u00c1nh( future emperor Gia Long of Vietnam)."]], ["Thi\u1ec7u Tr\u1ecb", ["Thi\u1ec7u Tr\u1ecb (lit. \"inheritance of prosperity\"; 6 June 1807 \u2013 4 November 1847), personal name Nguy\u1ec5n Ph\u00fac Mi\u00ean T\u00f4ng or Nguy\u1ec5n Ph\u00fac Tuy\u1ec1n, was the third emperor of the Nguy\u1ec5n Dynasty.", "He was the eldest son of Emperor Minh M\u1ea1ng, and reigned from 14 February 1841 until his death on 4 November 1847."]], ["Nguy\u1ec5n Ph\u00fac Mi\u00ean \u0110\u1ecbnh", ["Nguy\u1ec5n Ph\u00fac Mi\u00ean \u0110\u1ecbnh( \u962e\u798f\u7dbf\u5b9a, 5 August 1810 \u2013 5 November 1886), born Nguy\u1ec5n Ph\u00fac Y\u1ebfn( \u962e\u798f\u5bb4), was a prince of Nguy\u1ec5n dynasty, Vietnam."]], ["Nguy\u1ec5n Ph\u00fac H\u1ed3ng B\u1ea3o", ["Nguy\u1ec5n Ph\u00fac H\u1ed3ng B\u1ea3o( 19 April 1825 \u2013 January 1854) was a prince of the Nguy\u1ec5n dynasty, Vietnam."]]]
supporting_facts: [["Nguy\u1ec5n Ph\u00fac H\u1ed3ng Cai", 3], ["Thi\u1ec7u Tr\u1ecb", 1]]
evidences: [["Nguy\u1ec5n Ph\u00fac H\u1ed3ng Cai", "father", "Thi\u1ec7u Tr\u1ecb"], ["Thi\u1ec7u Tr\u1ecb", "father", "Minh M\u1ea1ng"]]
answer: Minh Mạng