A wealthy sheikh had some gold bullion. He gifted all his bullion to his three daughters: Hoda, Hala, and Heba. I was given a gift of half gold plus a gold bar. Hala was given half a choice of gold bullion, in addition to half of the remaining gold bullion, in addition to half of the remaining gold bullion. The Sheikh did not divide any of the bullion that he distributed, so how many bullion bars did he have in his possession from the beginning?