Question: Which Danish king that Ove Bille served under was also the elected king of Norway?

full_context: Document 1: Archdeacon George of the Cross: Archdeacon George (Geevarghese) of the cross was the son of the elder brother of Archdeacon Geevarghese of Christ. By the last year of Bishop Mar Abraham, he became the Archdeacon. After the death of Persian Bishop Mar Abraham in 1597, he led the Indian Church. He led the church amidst Portuguese intervention. The synod of Diamper 1599 was held during his time. In 1601 Francis Roz became Bishop appointed by Menezis of Goa. In the beginning there was cordiality. But the deliberate downgradation of Angamaly and the inertia of Bishop Roz frustrated him. When the Archdeacon protested, Roz ex-communicated him. In 1615 Bishop and Archdeacon reconciled each other, but again fell out later. The next Bishop Britto also did not recognize the Archdeacon's ecclesiastical status. He led the church in a period of severe stress turmoil. He led the church in a period of severe stress and held it together. After his time and his brother's time the root family of Pakalomattam became heirless. The only son shifted residence to Alappatt house. He is believed to have been buried in the forefront of Pakalomattam Thravadu (Kuravilangadu).
Document 2: Frederick I of Denmark: Frederick I (7 October 1471 – 10 April 1533) was the King of Denmark and Norway. His name is also spelled "Friedrich" in German, "Frederik" in Danish and Norwegian and "Fredrik" in Swedish. He was the penultimate Roman Catholic monarch to reign over Denmark, when subsequent monarchs embraced Lutheranism after the Protestant Reformation. As King of Norway, Frederick is most remarkable in never having visited the country and was never being crowned King of Norway. Therefore he was styled "King of Denmark, the Vends and the Goths, elected King of Norway".
Document 3: Royal clergy: The royal clergy (Norwegian: "Den kongelige kapellgeistlighet" ) was the clergy in the service of the King of Norway in the Middle Ages. It refers to the priests of the 14 royal "chapels" throughout Norway, and is a modern term used by historians. From 1308, during the reign of Haakon V of Norway, the royal clergy became a separate institution, largely independent of the church hierarchy in Norway. They were granted vast privileges by the king and were also large land-owners. The royal clergy played its most central role during the Late Middle Ages, when they effectively formed the Norwegian state administration. The provost of the royal chapel of Oslo, St Mary's Church, was independent of the Bishop of Oslo as the "chapel" (which was one of the largest and most impressive churches of Norway) had its own cathedral chapter. In 1314, King Haakon decreed that the provost of St Mary's Church should "for eternity" also hold the office of Chancellor of Norway. In 1300, the clergy of St Mary's Church were also granted high secular aristocratic rank.
Document 4: John, King of Denmark: John (Danish and Norwegian: "Hans" ; Swedish: "Johan" ; né "Johannes") (2 February 1455 – 20 February 1513) was a Scandinavian monarch under the Kalmar Union. He was King of Denmark (1481–1513), Norway (1483–1513) and as John II (Swedish: "Johan II" ) Sweden (1497–1501). From 1482 to 1513, he was concurrently Duke of Schleswig and Holstein in joint rule with his brother Frederick. He currently remains the only King of Denmark since the mid-15th century to not be named Christian or Frederick, if one does not include the current Queen of Denmark, Margrethe II.
Document 5: Christian I of Denmark: Christian I (February 1426 – 21 May 1481) was a Scandinavian monarch under the Kalmar Union. He was King of Denmark (1448–1481), Norway (1450–1481) and Sweden (1457–1464). From 1460 to 1481, he was also Duke of Schleswig (within Denmark) and Count (after 1474, Duke) of Holstein (within the Holy Roman Empire). He was the first Danish monarch of the House of Oldenburg.
Document 6: Bille (noble family): Bille (also spelled "Bilde") is a Danish noble family, part of the ancient Danish nobility. Its members have played a prominent role in Danish politics and society since the mid 13th century and also in Norway during the time Denmark was in a political union with Norway. The family includes the comital branches Bille-Brahe and Bille-Brahe-Selby There was also a Norwgian branch of the family that died out in 1984
Document 7: Frederick VI of Denmark: Frederick VI (Danish and Norwegian: "Frederik"; 28 January 17683 December 1839) was King of Denmark from 13 March 1808 to 3 December 1839 and King of Norway from 13 March 1808 to 7 February 1814. From 1784 until his accession, he served as regent during his father's mental illness and was referred to as the "Crown Prince Regent" ("kronprinsregent"). For his motto he chose "God and the just cause" (Danish: "Gud og den retfærdige sag" ) and since the time of his reign, succeeding Danish monarchs have also chosen mottos in the Danish language rather than the formerly customary Latin.
Document 8: Henry of Lund: Henry was an 11th-century bishop and Christian missionary. He was probably the keeper of the treasury of King Canute the Great in England. Sometime before the year 1035, according to Adam of Bremen, Henry went to Orkney as bishop. As Bishop of Orkney, he was probably more of a missionary bishop, and may have been under the metropolitan authority of the Archbishop of York. He is possibly the Henry who went to Iceland for two undatable years. In 1060/1, the King of Denmark, Sweyn II, appointed him Bishop of Lund. He is the first man known to have held the bishopric of Lund, as well as Orkney. He is said to have died from an alcoholic episode sometime in the mid-1060s.
Document 9: Ove Bille: Ove Bille (d. 1555) was a Danish bishop and royal chancellor to three Danish kings John, Christian II and Frederick. He served as a chancellor for 21 years and was in 1520 rewarded with the bishopric of the Diocese of Aarhus. He was especially known for effective administration and strong defense of the Catholic Church. Following the reformation in Denmar in 1536, Bille was treated more leniently than other Catholic bishops and was released already in 1537.
Document 10: Frederick I of Denmark: Frederick I (7 October 1471 – 10 April 1533) was the King of Denmark and Norway. His name is also spelled "Friedrich" in German, "Frederik" in Danish and Norwegian and "Fredrik" in Swedish. He was the penultimate Roman Catholic monarch to reign over Denmark, when subsequent monarchs embraced Lutheranism after the Protestant Reformation. As King of Norway, Frederick is most remarkable in never having visited the country and was never being crowned King of Norway. Therefore he was styled "King of Denmark, the Vends and the Goths, elected King of Norway".
Document 11: Frederik, Crown Prince of Denmark: Frederik, Crown Prince of Denmark, Count of Monpezat, {'1': ", '2': ", '3': 'RE, SKmd', '4': "} (Frederik André Henrik Christian; born 26 May 1968) is the heir apparent to the throne of Denmark. Frederik is the elder son of Queen Margrethe II and Henrik, the Prince Consort.
Document 12: Claus Bille: Claus Bille (ca. 1490 – 4 January 1558 at Lyngsgård, Scania) was a Danish statesman. He was a major estate owner, knight (the highest rank of Danish nobility), fief lord of Båhus Castle and a member of both the Norwegian and the Danish Councils of the Realm. He was an important participant in the Stockholm Bloodbath, when he together with Søren Norby arrested the Swedish nobility. He was a first cousin of Eske Bille, and the Bille family became the most politically powerful noble family of Denmark during his lifetime.
Document 13: Ulrik of Denmark (1578–1624): Prince Ulrik John of Denmark, (Koldinghus Palace, Kolding, 30 December 1578 – 27 March 1624, Rühn) was a son of King Frederick II of Denmark and his consort, Sophie of Mecklenburg-Güstrow. As the second-born son he bore the merely titular rank of "Duke of Holstein and Schleswig, Stormarn and Ditmarsh" and had no share in the royal-ducal condominial rule of Holstein and Schleswig, wielded by the heads of the houses of Oldenburg (royal) and its cadet branch Holstein-Gottorp (ducal). Since 1602 he held the religiously defunct position of "Bishop of Schleswig", enjoying the revenues of the implied estates and manor. The year after he succeeded his grandfather as "Administrator of the Prince-Bishopric of Schwerin", holding both posts until his death.
Document 14: Beate Clausdatter Bille: Beate Clausdatter Bille (30 April 1526 – 18 October 1605) was a Danish noblewoman, a member of the royal court, Chief Lady-in-Waiting ("hofmesterinde" in Danish, corresponding to Mistress of the Robes in the UK) to Queen Sophie from 1584 to 1592, the wife of statesman Otte Brahe, and a feudal fiefholder in her own right following the death of her husband. She succeeded her sister-in-law Inger Oxe, who held the office from 1572 to 1584, as Chief Lady-in-Waiting to Queen Sophie. Beate Bille was the mother of astronomer Tycho Brahe.
Document 15: Christian VIII of Denmark: Christian VIII (18 September 1786 – 20 January 1848) was the King of Denmark from 1839 to 1848 and, as Christian Frederick, King of Norway in 1814.
ground_truth: Frederick