The 45th Hunger Games took place 29 years prior to The Hunger Games series. These Games were won by Chaff, the male tribute from District 11, who lost his hand during the Games. Katniss mentions in Catching Fire that the Capitol probably offered some sort of mechanical replacement like Peeta's leg, but he wasn't given one or did not want one.
It is unknown how Chaff won his games, but it was most likely in a brutal manner, similar to the year Haymitch won, as they both turned to drinking and became alcoholics after winning. After both their games, Chaff and Haymitch became friends.