Detailed view of the hadronic model in the high energy and VHE region. For comparison to the hadronic model by Abdo et al. (2009a), shown as double dotted line. This models ends at the highest energy shown in that publication. The major difference between our model and that of Abdo et al. (2009a) is the harder particle spectrum above  ~100 GeV, which is now precisely constrained by the measurements presented here.