During the game at a certain time when no one was smoking, the following obtained:
-Perkins asked for three cards.
-Reilly had smoked half of his original supply, or one less than Turner had smoked.
-The Chesterfield man originally had as many more, plus half as more, plus 2 1/2 more cigarettes than he has now.
-The man who was drawing to an inside straight could taste only the menthol in his fifth cigarette, the last one he smoked.
-The man who smoked Luckies had smoked at least two more than anyone else, including Perkins.
-Brown drew as many aces as he originally had cigarettes.
-No one had smoked all his cigarettes.
-The Camel man asks Jones to pass Brown's matches.
How many cigarettes did each man have to begin with, and of what brand?