The story of Fled Bricrenn ("The Feast of Bricriu") tells how he once held a lavish feast for Conchobar mac Nessa and the heroes of Ulster in his house at Dún Rudraige (modern Dundrum, County Down), but knowing his reputation the Ulstermen had to be threatened to attend. First Bricriu threatened to set the Ulster warriors at odds with each other, then to set father against son and mother against daughter, but the Ulstermen finally agreed to come when he threatened to set the two breasts of each Ulster woman beating against each other.
At the feast he promised the "champion's portion" to Cú Chulainn, then to Conall Cernach, then to Lóegaire Búadach, and the three heroes proceeded to compete for the honour. Challenges were set, some judged by Ailill and Medb of Connacht, some by Cú Roí of Munster. At every test set Cú Chulainn came out top, but neither Conall nor Lóegaire would accept the decision.
Finally Cú Roí, disguised as a giant churl, challenged each of the three to behead him, then allow him to return and behead them in return. Only Cú Chulainn passed this test, and was judged worthy of the champion's portion. (Two motifs in this story, the champion's portion and the beheading challenge, are mentioned by the Greek writer Posidonius as practices of the ancient Celts. The beheading challenge is also central to the Middle English Arthurian poem Sir Gawain and the Green Knight.)
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