Finnat Már
Finnat Már ("the great", later spellings Innatmar, Ionnadmhar) son of Nia Segamain, was, according to medieval Irish legend and historical tradition, a High King of Ireland.
He succeeded to the throne after the death of Rudraige mac Sithrigi of plague, but after a reign of one, three or nine years he was killed by Rudraige's son Bresal Bó-Díbad.
The "Lebor Gabála Érenn" synchronises his reign with that of Ptolemy X Alexander I (110–88 BC) in Egypt.
The chronology of Geoffrey Keating's "Foras Feasa ar Éirinn" dates his reign to 154–151 BC, that of the "Annals of the Four Masters" to 219–210 BC.
Zhao Shoushan
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Lugaid Luaigne
Lugaid Luaigne, son of Finnat Már, was, according to medieval Irish legend and historical tradition, a High King of Ireland.
He came to power after killing his predecessor, and his father's killer, Bresal Bó- Díbad, and ruled for five or fifteen years, before he was killed by Congal Cláiringnech.
The" Lebor Gabála Érenn" synchronises his reign with that of Ptolemy X Alexander I( 110 – 88 BC) in Egypt.
The chronology of Geoffrey Keating's" Foras Feasa ar Éirinn" dates his reign to 140–135 BC, that of the" Annals of the Four Masters" to 199–184 BC.
Although presented as an ancestor of the Eóganachta in later medieval genealogies, Lugaid is regarded by T. F. O'Rahilly as one of several late emanations of Lugaid Loígde, ancestor of the Corcu Loígde.
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Nia Segamain
Nia Segamain, son of Adamair, was, according to medieval Irish legend and historical tradition, a High King of Ireland.
He took power after killing his predecessor, Conall Collamrach.
Geoffrey Keating says his mother was the presumed woodland goddess Flidais of the Tuatha Dé Danann, whose magic made wild does give milk as freely as domesticated cattle during his reign.
He ruled for seven years, until he was killed by Énna Aignech.
The "Lebor Gabála" synchronises his reign with that of Ptolemy VIII Physcon in Egypt (145–116 BC).
The chronology of Keating's "Foras Feasa ar Éirinn" dates his reign to 226–219 BC, that of the "Annals of the Four Masters" to 320–313 BC.
His name means "sister's son or champion of Segamon", and is perhaps related to Segomo, an ancient Gaulish deity equated in Roman times with Mars and Hercules.
A slightly more historical Nia Segamain occurs in early Eóganachta pedigrees, and this is sometimes interpreted as evidence for the Gaulish origins of the dynasties.

Question: Who is Finnat Már's paternal grandfather?
Answer: Adamair