Trying to create a grid puzzle with specific movements and generate the problem graph using graphviz::digraph in python. here's the code: https://pastebin.com/h96Nkmga

my problem is that all nodes assume their natural positions; (0,0) is on the top left, (2,0) on bottom left and so on. the bottom two nodes (2,1) and (2,2) are swapping positions though, and the edge crossing is causing overlapped labels. how do i fix this without manually setting node positions.