question: Who is Muirchertach Nár Mac Guairi's paternal grandfather?
context: [["John Westley", ["Rev. John Westley( 1636 \u2013 78) was an English nonconformist minister.", "He was the grandfather of John Wesley( founder of Methodism)."]], ["Abd al-Muttalib", ["Abd al- Muttalib Shaybah ibn Hashim( c. 497 \u2013 578) was the grandfather of Islamic prophet Muhammad."]], ["Guaire Aidne mac Colm\u00e1in", ["Guaire Aidne mac Colm\u00e1in (died 663) was a king of Connacht.", "A member of the Ui Fiachrach Aidhne and son of king Colm\u00e1n mac Cobthaig (died 622).", "Guaire ruled at the height of Ui Fiachrach Aidne power in south Connacht."]], ["Lyon Cohen", ["Lyon Cohen( 1868\u20131937) was a Polish- born Canadian businessman and a philanthropist.", "He was the grandfather of singer/ poet Leonard Cohen."]], ["Kaya Alp", ["Kaya Alp was, according to Ottoman tradition, the son of K\u0131z\u0131l Bu\u011fa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertu\u011frul, and the great grandfather of the Ottoman Empire founder, Osman I."]], ["Muirchertach N\u00e1r mac Guairi", ["Muirchertach N\u00e1r mac Guairi (died 668) was a possible King of Connacht from the Ui Fiachrach Aidhne branch of the Connachta.", "He was the son of Guaire Aidne mac Colm\u00e1in (died 663), famous in Irish sagas.", "The Irish king lists such as", "contained in \"The Book of Leinster\" do not list Muirchertach as king but have instead Cenn F\u00e1elad mac Colgan (died 682) as the successor to Guaire.", "Only the \"Chronicum Scotorum\" of the Irish annals mentions him as king of Connacht in his death obit.", "A number of annals record the death of his brother Cellach in 666 however during the plague years.", "The \"Annals of Innisfallen\" records an event under the year 665 in which the Connachta fought a battle with the Munstermen at Loch F\u00e9n", "(Loughfane, Limerick,Co.)", "but there is no mention of who won or whether it was fought by the Connachta or just the Ui Fiachrach Aidhne."]], ["Fred Le Deux", ["Frederick\" Fred\" Le Deux( born 4 December 1934) was an Australian rules footballer who played with Geelong in the Victorian Football League( VFL).", "He is the grandfather of Tom Hawkins."]], ["Zhao Shoushan", ["Zhao Shoushan( 12 November 1894 \u2013 20 June 1965) was a KMT general and later Chinese Communist Party politician.", "He is the grandfather of Zhao Leji."]], ["Henry Krause", ["Henry J.\" Red\" Krause, Jr.( August 28, 1913 \u2013 February 20, 1987) was an American football offensive lineman in the National Football League for the Brooklyn Dodgers and the Washington Redskins.", "He played college football at St. Louis University.", "He is the grandfather of Jennifer Krause", "He is the great grandfather of Payton Hoeing"]], ["Cenn F\u00e1elad mac Colgan", ["Cenn F\u00e1elad mac Colgan (died 682) was a King of Connacht from the U\u00ed Bri\u00fain branch of the Connachta.", "He was of the branch which developed into the U\u00ed Bri\u00fain Se\u00f3la, who were centred on Tuam in modern County Galway.", "He is the first member of this branch mentioned in the annals.", "The first mention of Cenn F\u00e1elad in the annals is in the year 653 when the ally of the Ui Fiachrach Aidhne, Marc\u00e1n mac Tomaini, the king of the Ui Maine was slain in battle in Iarthair Seola by Cenn F\u00e1elad and M\u00e1enach mac B\u00e1eth\u00edne of the U\u00ed Bri\u00fain.", "In the \"Annals of the Four Masters\" it is Maenach who is referred to as chief of the U\u00ed Bri\u00fain.", "The next mention of Cenn F\u00e1elad is in 663 when the \"Annals of Tigernach\" mention that he became king of Connacht in succession to Guaire Aidne mac Colm\u00e1in (died 663).", "The king lists such as that in the \"Book of Leinster\" also place his reign after Guaire.", "However, the \"Chronicum Scotorum\" mentions the death of Muirchertach N\u00e1r mac Guairi (died 668) as king of Connacht in 668.", "The annals also mention a certain Dub-Indracht mac D\u00fanchada as king of the U\u00ed Bri\u00fain of Mag nAi in 666.", "The last mention of Cenn F\u00e1elad in the annals is in 682 when he was killed by Ulcha Dearg ua Caillidhe of the Conmha\u00edcne C\u00faile, a subject tribe of the Se\u00f3la region.", "Francis Byrne believed this killing was in response to the U\u00ed Bri\u00fain policy of subjugation and annexation of subject tribal territories.", "Cenn F\u00e1elad's descendants included the Muintir Murchadha and their chief, the O'Flaherty, through his son Amhalgadh, sometimes titled kings of Iarthair Connacht in the annals; and the Clann Cosgraigh, headed by McHugh, through Cenn F\u00e1elad's son Dungalaigh."]]]
supporting_facts: [["Muirchertach N\u00e1r mac Guairi", 1], ["Guaire Aidne mac Colm\u00e1in", 1]]
evidences: [["Muirchertach N\u00e1r mac Guairi", "father", "Guaire Aidne mac Colm\u00e1in"], ["Guaire Aidne mac Colm\u00e1in", "father", "Colm\u00e1n mac Cobthaig"]]
answer: Colmán mac Cobthaig