Question: Who is the paternal grandfather of Máel Ruanaid Mac Donnchada Midi?

Knowledge 1: Máel Ruanaid mac Donnchada Midi
Máel Ruanaid mac Donnchada Midi (died 843) was a King of Uisnech in Mide of the Clann Cholmáin.He was the son of the High King of Ireland, Donnchad Midi (died 797) and brother of the high king Conchobar mac Donnchada (died 833).He ruled in Uisnech from 833-843.He succeeded his brother as King of Uisnech in 833 but did not succeed to the high kingship which rotated amongst the Clann Cholmain and the Cenél nÉogain of the Northern Ui Neill at this time.Niall Caille became high king as representative of the northern branch.Niall Caille, to ensure his authority, raids Meath in the year 835.Meath was also caught up in the war between Niall Caille and Feidlimid mac Crimthainn, the King of Munster.Feidlimid raided Meath and Brega in an advance on Tara in 840 where he was halted by Niall.In 841 Máel Ruanaid was defeated by his nephew Diarmait mac Conchobair and was temporarily ousted from the throne but his son Máel Sechnaill mac Maíl Ruanaid (died 862) killed Diarmait on the same day thereby saving his father and his throne.His sons included Flann mac Máele Ruanaid (died 845) who was King of Mide and Máel Sechnaill who became High King in 846. [SEP] Knowledge 2: Donnchad Midi
Donnchad mac Domnaill (733 – 6 February 797), called Donnchad Midi, was High King of Ireland.His father, Domnall Midi, had been the first Uí Néill High King from the south-central Clann Cholmáin based in modern County Westmeath and western County Meath, Ireland.The reigns of Domnall and his successor, Niall Frossach of the Cenél nEógain, had been relatively peaceful, but Donnchad's rule saw a return to a more expansionist policy directed against Leinster, traditional target of the Uí Néill, and also, for the first time, the great southern kingdom of Munster.Donnchad continued his father's support for the Columban churches, led by Iona.In his many wars he used the churches, particularly the Columban monastery of Durrow, as a source of support.He also ruthlessly attacked and plundered churches that supported his rivals among the Uí Néill and also those of Leinster and Munster.Donnchad was remembered, not always fondly, as a warrior king.He firmly established Clann Cholmáin's dominance among the Uí Néill kindreds of the midlands.His descendants shared in the High Kingship until the time of Máel Sechnaill mac Domnaill, the last traditional High King of Ireland.
Knowledge 1: Máel Ruanaid mac Donnchada Midi
Máel Ruanaid mac Donnchada Midi (died 843) was a King of Uisnech in Mide of the Clann Cholmáin.He was the son of the High King of Ireland, Donnchad Midi (died 797) and brother of the high king Conchobar mac Donnchada (died 833).He ruled in Uisnech from 833-843.He succeeded his brother as King of Uisnech in 833 but did not succeed to the high kingship which rotated amongst the Clann Cholmain and the Cenél nÉogain of the Northern Ui Neill at this time.Niall Caille became high king as representative of the northern branch.Niall Caille, to ensure his authority, raids Meath in the year 835.Meath was also caught up in the war between Niall Caille and Feidlimid mac Crimthainn, the King of Munster.Feidlimid raided Meath and Brega in an advance on Tara in 840 where he was halted by Niall.In 841 Máel Ruanaid was defeated by his nephew Diarmait mac Conchobair and was temporarily ousted from the throne but his son Máel Sechnaill mac Maíl Ruanaid (died 862) killed Diarmait on the same day thereby saving his father and his throne.His sons included Flann mac Máele Ruanaid (died 845) who was King of Mide and Máel Sechnaill who became High King in 846. [SEP] Knowledge 2: Domnall mac Donnchada Midi
Domnall mac Donnchada Midi( died 799) was a King of Mide of the Clann Cholmáin.He was the son of the High King of Ireland, Donnchad Midi( died 797).He ruled in as King of Mide from 797 to 799.Omitted from the king list of Uisnech in the" Book of Leinster", he is included in the poem on the kings of Mide.The period between the death of Donnchad Midi and the accession of his son Conchobar mac Donnchado in 803 was a time of civil strife and confusion amongst the Clann Cholmáin.Apparently Donnchad was succeeded by his son Domnall mac Donnchada Midi in 797.That same year the high king Áed Oirdnide of the Cenél n Eógain invaded Meath and defeated Clann Cholmáin at the Battle of Druim Ríg.In this battle were slain two of Domnall's uncles, Fínnechta and Diarmait Odar as well as Fínnechta son of Follaman of the related Caílle Follamain.Áed went on to devastate Meath which submitted to him and the beginning of his high kingship is considered to have occurred from that point on.In 799 Domnall mac Donnchada Midi was assassinated by his own kinsmen and his uncle Muiredach mac Domnaill Midi became King of Mide.Muiredach first appears in 799 as leading the forces of Mide in a victory over the Cenél Cairpri of Tethba at the Battle of Finnabair in Tethba in which the king of the Cenél Cairpri was slain.He may have been acting in the interest of his nephew Domnall as the" Annals of Ulster" place this event before Domnall's assassination.However, the" Annals of the Four Masters" place this even after Domnall's assassination and so Muiredach may have been imposing his own authority.
Knowledge 1: Máel Ruanaid mac Donnchada Midi
Máel Ruanaid mac Donnchada Midi (died 843) was a King of Uisnech in Mide of the Clann Cholmáin.He was the son of the High King of Ireland, Donnchad Midi (died 797) and brother of the high king Conchobar mac Donnchada (died 833).He ruled in Uisnech from 833-843.He succeeded his brother as King of Uisnech in 833 but did not succeed to the high kingship which rotated amongst the Clann Cholmain and the Cenél nÉogain of the Northern Ui Neill at this time.Niall Caille became high king as representative of the northern branch.Niall Caille, to ensure his authority, raids Meath in the year 835.Meath was also caught up in the war between Niall Caille and Feidlimid mac Crimthainn, the King of Munster.Feidlimid raided Meath and Brega in an advance on Tara in 840 where he was halted by Niall.In 841 Máel Ruanaid was defeated by his nephew Diarmait mac Conchobair and was temporarily ousted from the throne but his son Máel Sechnaill mac Maíl Ruanaid (died 862) killed Diarmait on the same day thereby saving his father and his throne.His sons included Flann mac Máele Ruanaid (died 845) who was King of Mide and Máel Sechnaill who became High King in 846. [SEP] Knowledge 2: Meic Uilleim
The Meic Uilleim (MacWilliams) were the Gaelic descendants of William fitz Duncan, grandson of Máel Coluim mac Donnchada, king of Scots.They were excluded from the succession by the descendants of Máel Coluim's son David I during the 12th century and raised a number of rebellions to vindicate their claims to the Mormaerdom of Moray and perhaps to the rule of Scotland.

Answer: Domnall Midi