Disclosed herein is a printing control apparatus for enabling an image forming apparatus, having a network connection function and printing data interpretation function, to print printing data written in a format that cannot be interpreted by the interpretation function of the image forming apparatus. There is identified a locality comprising at least two nodes in a graph of nodes and edges, wherein the edges represent interactions between nodes. The insert includes a cutting edge aligned with the die cutting edge when in the first position. The assist ion can be, for example, sodium ions, and the electrode can be an electrode of the assist ion.