\(At the Gooddog Obedience School, dogs can learn to do three tricks: sit, stay, and roll over. Of the dogs at the school: \begin{tabular}{l@{\qquad}l} 50 dogs can sit & 17 dogs can sit and stay \\ 29 dogs can stay & 12 dogs can stay and roll over \\ 34 dogs can roll over & 18 dogs can sit and roll over \\ 9 dogs can do all three & 9 dogs can do none \end{tabular} How many dogs are in the school?\)
