digraph g {
"context" -> "walking a grid"
"grid" -> "10" [label="dim-1",arrowhead=normal]
"grid" -> "10" [label="dim-2",arrowhead=normal]
"grid: 1 1" -> "grid: 1 2" [label="E",arrowhead=normal]
"grid: 1 1" -> "grid: 2 2" [label="SE",arrowhead=normal]
"grid: 1 1" -> "grid: 2 1" [label="S",arrowhead=normal]
"grid: 1 2" -> "grid: 1 3" [label="E",arrowhead=normal]
"grid: 1 2" -> "grid: 2 3" [label="SE",arrowhead=normal]
"grid: 1 2" -> "grid: 2 2" [label="S",arrowhead=normal]
"grid: 1 2" -> "grid: 2 1" [label="SW",arrowhead=normal]
"grid: 1 2" -> "grid: 1 1" [label="W",arrowhead=normal]
"grid: 1 3" -> "grid: 1 4" [label="E",arrowhead=normal]
"grid: 1 3" -> "grid: 2 4" [label="SE",arrowhead=normal]
"grid: 1 3" -> "grid: 2 3" [label="S",arrowhead=normal]
"grid: 1 3" -> "grid: 2 2" [label="SW",arrowhead=normal]
"grid: 1 3" -> "grid: 1 2" [label="W",arrowhead=normal]
"grid: 1 4" -> "grid: 1 5" [label="E",arrowhead=normal]
"grid: 1 4" -> "grid: 2 5" [label="SE",arrowhead=normal]
"grid: 1 4" -> "grid: 2 4" [label="S",arrowhead=normal]
"grid: 1 4" -> "grid: 2 3" [label="SW",arrowhead=normal]
"grid: 1 4" -> "grid: 1 3" [label="W",arrowhead=normal]
"grid: 1 5" -> "grid: 1 6" [label="E",arrowhead=normal]
"grid: 1 5" -> "grid: 2 6" [label="SE",arrowhead=normal]
"grid: 1 5" -> "grid: 2 5" [label="S",arrowhead=normal]
"grid: 1 5" -> "grid: 2 4" [label="SW",arrowhead=normal]
"grid: 1 5" -> "grid: 1 4" [label="W",arrowhead=normal]
"grid: 1 6" -> "grid: 1 7" [label="E",arrowhead=normal]
"grid: 1 6" -> "grid: 2 7" [label="SE",arrowhead=normal]
"grid: 1 6" -> "grid: 2 6" [label="S",arrowhead=normal]
"grid: 1 6" -> "grid: 2 5" [label="SW",arrowhead=normal]
"grid: 1 6" -> "grid: 1 5" [label="W",arrowhead=normal]
"grid: 1 7" -> "grid: 1 8" [label="E",arrowhead=normal]
"grid: 1 7" -> "grid: 2 8" [label="SE",arrowhead=normal]
"grid: 1 7" -> "grid: 2 7" [label="S",arrowhead=normal]
"grid: 1 7" -> "grid: 2 6" [label="SW",arrowhead=normal]
"grid: 1 7" -> "grid: 1 6" [label="W",arrowhead=normal]
"grid: 1 8" -> "grid: 1 9" [label="E",arrowhead=normal]
"grid: 1 8" -> "grid: 2 9" [label="SE",arrowhead=normal]
"grid: 1 8" -> "grid: 2 8" [label="S",arrowhead=normal]
"grid: 1 8" -> "grid: 2 7" [label="SW",arrowhead=normal]
"grid: 1 8" -> "grid: 1 7" [label="W",arrowhead=normal]
"grid: 1 9" -> "grid: 1 10" [label="E",arrowhead=normal]
"grid: 1 9" -> "grid: 2 10" [label="SE",arrowhead=normal]
"grid: 1 9" -> "grid: 2 9" [label="S",arrowhead=normal]
"grid: 1 9" -> "grid: 2 8" [label="SW",arrowhead=normal]
"grid: 1 9" -> "grid: 1 8" [label="W",arrowhead=normal]
"grid: 1 10" -> "grid: 2 10" [label="S",arrowhead=normal]
"grid: 1 10" -> "grid: 2 9" [label="SW",arrowhead=normal]
"grid: 1 10" -> "grid: 1 9" [label="W",arrowhead=normal]
"grid: 2 1" -> "grid: 1 1" [label="N",arrowhead=normal]
"grid: 2 1" -> "grid: 1 2" [label="NE",arrowhead=normal]
"grid: 2 1" -> "grid: 2 2" [label="E",arrowhead=normal]
"grid: 2 1" -> "grid: 3 2" [label="SE",arrowhead=normal]
"grid: 2 1" -> "grid: 3 1" [label="S",arrowhead=normal]
"grid: 2 2" -> "grid: 1 2" [label="N",arrowhead=normal]
"grid: 2 2" -> "grid: 1 3" [label="NE",arrowhead=normal]
"grid: 2 2" -> "grid: 2 3" [label="E",arrowhead=normal]
"grid: 2 2" -> "grid: 3 3" [label="SE",arrowhead=normal]
"grid: 2 2" -> "grid: 3 2" [label="S",arrowhead=normal]
"grid: 2 2" -> "grid: 3 1" [label="SW",arrowhead=normal]
"grid: 2 2" -> "grid: 2 1" [label="W",arrowhead=normal]
"grid: 2 2" -> "grid: 1 1" [label="NW",arrowhead=normal]
"grid: 2 3" -> "grid: 1 3" [label="N",arrowhead=normal]
"grid: 2 3" -> "grid: 1 4" [label="NE",arrowhead=normal]
"grid: 2 3" -> "grid: 2 4" [label="E",arrowhead=normal]
"grid: 2 3" -> "grid: 3 4" [label="SE",arrowhead=normal]
"grid: 2 3" -> "grid: 3 3" [label="S",arrowhead=normal]
"grid: 2 3" -> "grid: 3 2" [label="SW",arrowhead=normal]
"grid: 2 3" -> "grid: 2 2" [label="W",arrowhead=normal]
"grid: 2 3" -> "grid: 1 2" [label="NW",arrowhead=normal]
"grid: 2 4" -> "grid: 1 4" [label="N",arrowhead=normal]
"grid: 2 4" -> "grid: 1 5" [label="NE",arrowhead=normal]
"grid: 2 4" -> "grid: 2 5" [label="E",arrowhead=normal]
"grid: 2 4" -> "grid: 3 5" [label="SE",arrowhead=normal]
"grid: 2 4" -> "grid: 3 4" [label="S",arrowhead=normal]
"grid: 2 4" -> "grid: 3 3" [label="SW",arrowhead=normal]
"grid: 2 4" -> "grid: 2 3" [label="W",arrowhead=normal]
"grid: 2 4" -> "grid: 1 3" [label="NW",arrowhead=normal]
"grid: 2 5" -> "grid: 1 5" [label="N",arrowhead=normal]
"grid: 2 5" -> "grid: 1 6" [label="NE",arrowhead=normal]
"grid: 2 5" -> "grid: 2 6" [label="E",arrowhead=normal]
"grid: 2 5" -> "grid: 3 6" [label="SE",arrowhead=normal]
"grid: 2 5" -> "grid: 3 5" [label="S",arrowhead=normal]
"grid: 2 5" -> "grid: 3 4" [label="SW",arrowhead=normal]
"grid: 2 5" -> "grid: 2 4" [label="W",arrowhead=normal]
"grid: 2 5" -> "grid: 1 4" [label="NW",arrowhead=normal]
"grid: 2 6" -> "grid: 1 6" [label="N",arrowhead=normal]
"grid: 2 6" -> "grid: 1 7" [label="NE",arrowhead=normal]
"grid: 2 6" -> "grid: 2 7" [label="E",arrowhead=normal]
"grid: 2 6" -> "grid: 3 7" [label="SE",arrowhead=normal]
"grid: 2 6" -> "grid: 3 6" [label="S",arrowhead=normal]
"grid: 2 6" -> "grid: 3 5" [label="SW",arrowhead=normal]
"grid: 2 6" -> "grid: 2 5" [label="W",arrowhead=normal]
"grid: 2 6" -> "grid: 1 5" [label="NW",arrowhead=normal]
"grid: 2 7" -> "grid: 1 7" [label="N",arrowhead=normal]
"grid: 2 7" -> "grid: 1 8" [label="NE",arrowhead=normal]
"grid: 2 7" -> "grid: 2 8" [label="E",arrowhead=normal]
"grid: 2 7" -> "grid: 3 8" [label="SE",arrowhead=normal]
"grid: 2 7" -> "grid: 3 7" [label="S",arrowhead=normal]
"grid: 2 7" -> "grid: 3 6" [label="SW",arrowhead=normal]
"grid: 2 7" -> "grid: 2 6" [label="W",arrowhead=normal]
"grid: 2 7" -> "grid: 1 6" [label="NW",arrowhead=normal]
"grid: 2 8" -> "grid: 1 8" [label="N",arrowhead=normal]
"grid: 2 8" -> "grid: 1 9" [label="NE",arrowhead=normal]
"grid: 2 8" -> "grid: 2 9" [label="E",arrowhead=normal]
"grid: 2 8" -> "grid: 3 9" [label="SE",arrowhead=normal]
"grid: 2 8" -> "grid: 3 8" [label="S",arrowhead=normal]
"grid: 2 8" -> "grid: 3 7" [label="SW",arrowhead=normal]
"grid: 2 8" -> "grid: 2 7" [label="W",arrowhead=normal]
"grid: 2 8" -> "grid: 1 7" [label="NW",arrowhead=normal]
"grid: 2 9" -> "grid: 1 9" [label="N",arrowhead=normal]
"grid: 2 9" -> "grid: 1 10" [label="NE",arrowhead=normal]
"grid: 2 9" -> "grid: 2 10" [label="E",arrowhead=normal]
"grid: 2 9" -> "grid: 3 10" [label="SE",arrowhead=normal]
"grid: 2 9" -> "grid: 3 9" [label="S",arrowhead=normal]
"grid: 2 9" -> "grid: 3 8" [label="SW",arrowhead=normal]
"grid: 2 9" -> "grid: 2 8" [label="W",arrowhead=normal]
"grid: 2 9" -> "grid: 1 8" [label="NW",arrowhead=normal]
"grid: 2 10" -> "grid: 1 10" [label="N",arrowhead=normal]
"grid: 2 10" -> "grid: 3 10" [label="S",arrowhead=normal]
"grid: 2 10" -> "grid: 3 9" [label="SW",arrowhead=normal]
"grid: 2 10" -> "grid: 2 9" [label="W",arrowhead=normal]
"grid: 2 10" -> "grid: 1 9" [label="NW",arrowhead=normal]
"grid: 3 1" -> "grid: 2 1" [label="N",arrowhead=normal]
"grid: 3 1" -> "grid: 2 2" [label="NE",arrowhead=normal]
"grid: 3 1" -> "grid: 3 2" [label="E",arrowhead=normal]
"grid: 3 1" -> "grid: 4 2" [label="SE",arrowhead=normal]
"grid: 3 1" -> "grid: 4 1" [label="S",arrowhead=normal]
"grid: 3 2" -> "grid: 2 2" [label="N",arrowhead=normal]
"grid: 3 2" -> "grid: 2 3" [label="NE",arrowhead=normal]
"grid: 3 2" -> "grid: 3 3" [label="E",arrowhead=normal]
"grid: 3 2" -> "grid: 4 3" [label="SE",arrowhead=normal]
"grid: 3 2" -> "grid: 4 2" [label="S",arrowhead=normal]
"grid: 3 2" -> "grid: 4 1" [label="SW",arrowhead=normal]
"grid: 3 2" -> "grid: 3 1" [label="W",arrowhead=normal]
"grid: 3 2" -> "grid: 2 1" [label="NW",arrowhead=normal]
"grid: 3 3" -> "grid: 2 3" [label="N",arrowhead=normal]
"grid: 3 3" -> "grid: 2 4" [label="NE",arrowhead=normal]
"grid: 3 3" -> "grid: 3 4" [label="E",arrowhead=normal]
"grid: 3 3" -> "grid: 4 4" [label="SE",arrowhead=normal]
"grid: 3 3" -> "grid: 4 3" [label="S",arrowhead=normal]
"grid: 3 3" -> "grid: 4 2" [label="SW",arrowhead=normal]
"grid: 3 3" -> "grid: 3 2" [label="W",arrowhead=normal]
"grid: 3 3" -> "grid: 2 2" [label="NW",arrowhead=normal]
"grid: 3 4" -> "grid: 2 4" [label="N",arrowhead=normal]
"grid: 3 4" -> "grid: 2 5" [label="NE",arrowhead=normal]
"grid: 3 4" -> "grid: 3 5" [label="E",arrowhead=normal]
"grid: 3 4" -> "grid: 4 5" [label="SE",arrowhead=normal]
"grid: 3 4" -> "grid: 4 4" [label="S",arrowhead=normal]
"grid: 3 4" -> "grid: 4 3" [label="SW",arrowhead=normal]
"grid: 3 4" -> "grid: 3 3" [label="W",arrowhead=normal]
"grid: 3 4" -> "grid: 2 3" [label="NW",arrowhead=normal]
"grid: 3 5" -> "grid: 2 5" [label="N",arrowhead=normal]
"grid: 3 5" -> "grid: 2 6" [label="NE",arrowhead=normal]
"grid: 3 5" -> "grid: 3 6" [label="E",arrowhead=normal]
"grid: 3 5" -> "grid: 4 6" [label="SE",arrowhead=normal]
"grid: 3 5" -> "grid: 4 5" [label="S",arrowhead=normal]
"grid: 3 5" -> "grid: 4 4" [label="SW",arrowhead=normal]
"grid: 3 5" -> "grid: 3 4" [label="W",arrowhead=normal]
"grid: 3 5" -> "grid: 2 4" [label="NW",arrowhead=normal]
"grid: 3 6" -> "grid: 2 6" [label="N",arrowhead=normal]
"grid: 3 6" -> "grid: 2 7" [label="NE",arrowhead=normal]
"grid: 3 6" -> "grid: 3 7" [label="E",arrowhead=normal]
"grid: 3 6" -> "grid: 4 7" [label="SE",arrowhead=normal]
"grid: 3 6" -> "grid: 4 6" [label="S",arrowhead=normal]
"grid: 3 6" -> "grid: 4 5" [label="SW",arrowhead=normal]
"grid: 3 6" -> "grid: 3 5" [label="W",arrowhead=normal]
"grid: 3 6" -> "grid: 2 5" [label="NW",arrowhead=normal]
"grid: 3 7" -> "grid: 2 7" [label="N",arrowhead=normal]
"grid: 3 7" -> "grid: 2 8" [label="NE",arrowhead=normal]
"grid: 3 7" -> "grid: 3 8" [label="E",arrowhead=normal]
"grid: 3 7" -> "grid: 4 8" [label="SE",arrowhead=normal]
"grid: 3 7" -> "grid: 4 7" [label="S",arrowhead=normal]
"grid: 3 7" -> "grid: 4 6" [label="SW",arrowhead=normal]
"grid: 3 7" -> "grid: 3 6" [label="W",arrowhead=normal]
"grid: 3 7" -> "grid: 2 6" [label="NW",arrowhead=normal]
"grid: 3 8" -> "grid: 2 8" [label="N",arrowhead=normal]
"grid: 3 8" -> "grid: 2 9" [label="NE",arrowhead=normal]
"grid: 3 8" -> "grid: 3 9" [label="E",arrowhead=normal]
"grid: 3 8" -> "grid: 4 9" [label="SE",arrowhead=normal]
"grid: 3 8" -> "grid: 4 8" [label="S",arrowhead=normal]
"grid: 3 8" -> "grid: 4 7" [label="SW",arrowhead=normal]
"grid: 3 8" -> "grid: 3 7" [label="W",arrowhead=normal]
"grid: 3 8" -> "grid: 2 7" [label="NW",arrowhead=normal]
"grid: 3 9" -> "grid: 2 9" [label="N",arrowhead=normal]
"grid: 3 9" -> "grid: 2 10" [label="NE",arrowhead=normal]
"grid: 3 9" -> "grid: 3 10" [label="E",arrowhead=normal]
"grid: 3 9" -> "grid: 4 10" [label="SE",arrowhead=normal]
"grid: 3 9" -> "grid: 4 9" [label="S",arrowhead=normal]
"grid: 3 9" -> "grid: 4 8" [label="SW",arrowhead=normal]
"grid: 3 9" -> "grid: 3 8" [label="W",arrowhead=normal]
"grid: 3 9" -> "grid: 2 8" [label="NW",arrowhead=normal]
"grid: 3 10" -> "grid: 2 10" [label="N",arrowhead=normal]
"grid: 3 10" -> "grid: 4 10" [label="S",arrowhead=normal]
"grid: 3 10" -> "grid: 4 9" [label="SW",arrowhead=normal]
"grid: 3 10" -> "grid: 3 9" [label="W",arrowhead=normal]
"grid: 3 10" -> "grid: 2 9" [label="NW",arrowhead=normal]
"grid: 4 1" -> "grid: 3 1" [label="N",arrowhead=normal]
"grid: 4 1" -> "grid: 3 2" [label="NE",arrowhead=normal]
"grid: 4 1" -> "grid: 4 2" [label="E",arrowhead=normal]
"grid: 4 1" -> "grid: 5 2" [label="SE",arrowhead=normal]
"grid: 4 1" -> "grid: 5 1" [label="S",arrowhead=normal]
"grid: 4 2" -> "grid: 3 2" [label="N",arrowhead=normal]
"grid: 4 2" -> "grid: 3 3" [label="NE",arrowhead=normal]
"grid: 4 2" -> "grid: 4 3" [label="E",arrowhead=normal]
"grid: 4 2" -> "grid: 5 3" [label="SE",arrowhead=normal]
"grid: 4 2" -> "grid: 5 2" [label="S",arrowhead=normal]
"grid: 4 2" -> "grid: 5 1" [label="SW",arrowhead=normal]
"grid: 4 2" -> "grid: 4 1" [label="W",arrowhead=normal]
"grid: 4 2" -> "grid: 3 1" [label="NW",arrowhead=normal]
"grid: 4 3" -> "grid: 3 3" [label="N",arrowhead=normal]
"grid: 4 3" -> "grid: 3 4" [label="NE",arrowhead=normal]
"grid: 4 3" -> "grid: 4 4" [label="E",arrowhead=normal]
"grid: 4 3" -> "grid: 5 4" [label="SE",arrowhead=normal]
"grid: 4 3" -> "grid: 5 3" [label="S",arrowhead=normal]
"grid: 4 3" -> "grid: 5 2" [label="SW",arrowhead=normal]
"grid: 4 3" -> "grid: 4 2" [label="W",arrowhead=normal]
"grid: 4 3" -> "grid: 3 2" [label="NW",arrowhead=normal]
"grid: 4 4" -> "grid: 3 4" [label="N",arrowhead=normal]
"grid: 4 4" -> "grid: 3 5" [label="NE",arrowhead=normal]
"grid: 4 4" -> "grid: 4 5" [label="E",arrowhead=normal]
"grid: 4 4" -> "grid: 5 5" [label="SE",arrowhead=normal]
"grid: 4 4" -> "grid: 5 4" [label="S",arrowhead=normal]
"grid: 4 4" -> "grid: 5 3" [label="SW",arrowhead=normal]
"grid: 4 4" -> "grid: 4 3" [label="W",arrowhead=normal]
"grid: 4 4" -> "grid: 3 3" [label="NW",arrowhead=normal]
"grid: 4 5" -> "grid: 3 5" [label="N",arrowhead=normal]
"grid: 4 5" -> "grid: 3 6" [label="NE",arrowhead=normal]
"grid: 4 5" -> "grid: 4 6" [label="E",arrowhead=normal]
"grid: 4 5" -> "grid: 5 6" [label="SE",arrowhead=normal]
"grid: 4 5" -> "grid: 5 5" [label="S",arrowhead=normal]
"grid: 4 5" -> "grid: 5 4" [label="SW",arrowhead=normal]
"grid: 4 5" -> "grid: 4 4" [label="W",arrowhead=normal]
"grid: 4 5" -> "grid: 3 4" [label="NW",arrowhead=normal]
"grid: 4 6" -> "grid: 3 6" [label="N",arrowhead=normal]
"grid: 4 6" -> "grid: 3 7" [label="NE",arrowhead=normal]
"grid: 4 6" -> "grid: 4 7" [label="E",arrowhead=normal]
"grid: 4 6" -> "grid: 5 7" [label="SE",arrowhead=normal]
"grid: 4 6" -> "grid: 5 6" [label="S",arrowhead=normal]
"grid: 4 6" -> "grid: 5 5" [label="SW",arrowhead=normal]
"grid: 4 6" -> "grid: 4 5" [label="W",arrowhead=normal]
"grid: 4 6" -> "grid: 3 5" [label="NW",arrowhead=normal]
"grid: 4 7" -> "grid: 3 7" [label="N",arrowhead=normal]
"grid: 4 7" -> "grid: 3 8" [label="NE",arrowhead=normal]
"grid: 4 7" -> "grid: 4 8" [label="E",arrowhead=normal]
"grid: 4 7" -> "grid: 5 8" [label="SE",arrowhead=normal]
"grid: 4 7" -> "grid: 5 7" [label="S",arrowhead=normal]
"grid: 4 7" -> "grid: 5 6" [label="SW",arrowhead=normal]
"grid: 4 7" -> "grid: 4 6" [label="W",arrowhead=normal]
"grid: 4 7" -> "grid: 3 6" [label="NW",arrowhead=normal]
"grid: 4 8" -> "grid: 3 8" [label="N",arrowhead=normal]
"grid: 4 8" -> "grid: 3 9" [label="NE",arrowhead=normal]
"grid: 4 8" -> "grid: 4 9" [label="E",arrowhead=normal]
"grid: 4 8" -> "grid: 5 9" [label="SE",arrowhead=normal]
"grid: 4 8" -> "grid: 5 8" [label="S",arrowhead=normal]
"grid: 4 8" -> "grid: 5 7" [label="SW",arrowhead=normal]
"grid: 4 8" -> "grid: 4 7" [label="W",arrowhead=normal]
"grid: 4 8" -> "grid: 3 7" [label="NW",arrowhead=normal]
"grid: 4 9" -> "grid: 3 9" [label="N",arrowhead=normal]
"grid: 4 9" -> "grid: 3 10" [label="NE",arrowhead=normal]
"grid: 4 9" -> "grid: 4 10" [label="E",arrowhead=normal]
"grid: 4 9" -> "grid: 5 10" [label="SE",arrowhead=normal]
"grid: 4 9" -> "grid: 5 9" [label="S",arrowhead=normal]
"grid: 4 9" -> "grid: 5 8" [label="SW",arrowhead=normal]
"grid: 4 9" -> "grid: 4 8" [label="W",arrowhead=normal]
"grid: 4 9" -> "grid: 3 8" [label="NW",arrowhead=normal]
"grid: 4 10" -> "grid: 3 10" [label="N",arrowhead=normal]
"grid: 4 10" -> "grid: 5 10" [label="S",arrowhead=normal]
"grid: 4 10" -> "grid: 5 9" [label="SW",arrowhead=normal]
"grid: 4 10" -> "grid: 4 9" [label="W",arrowhead=normal]
"grid: 4 10" -> "grid: 3 9" [label="NW",arrowhead=normal]
"grid: 5 1" -> "grid: 4 1" [label="N",arrowhead=normal]
"grid: 5 1" -> "grid: 4 2" [label="NE",arrowhead=normal]
"grid: 5 1" -> "grid: 5 2" [label="E",arrowhead=normal]
"grid: 5 1" -> "grid: 6 2" [label="SE",arrowhead=normal]
"grid: 5 1" -> "grid: 6 1" [label="S",arrowhead=normal]
"grid: 5 2" -> "grid: 4 2" [label="N",arrowhead=normal]
"grid: 5 2" -> "grid: 4 3" [label="NE",arrowhead=normal]
"grid: 5 2" -> "grid: 5 3" [label="E",arrowhead=normal]
"grid: 5 2" -> "grid: 6 3" [label="SE",arrowhead=normal]
"grid: 5 2" -> "grid: 6 2" [label="S",arrowhead=normal]
"grid: 5 2" -> "grid: 6 1" [label="SW",arrowhead=normal]
"grid: 5 2" -> "grid: 5 1" [label="W",arrowhead=normal]
"grid: 5 2" -> "grid: 4 1" [label="NW",arrowhead=normal]
"grid: 5 3" -> "grid: 4 3" [label="N",arrowhead=normal]
"grid: 5 3" -> "grid: 4 4" [label="NE",arrowhead=normal]
"grid: 5 3" -> "grid: 5 4" [label="E",arrowhead=normal]
"grid: 5 3" -> "grid: 6 4" [label="SE",arrowhead=normal]
"grid: 5 3" -> "grid: 6 3" [label="S",arrowhead=normal]
"grid: 5 3" -> "grid: 6 2" [label="SW",arrowhead=normal]
"grid: 5 3" -> "grid: 5 2" [label="W",arrowhead=normal]
"grid: 5 3" -> "grid: 4 2" [label="NW",arrowhead=normal]
"grid: 5 4" -> "grid: 4 4" [label="N",arrowhead=normal]
"grid: 5 4" -> "grid: 4 5" [label="NE",arrowhead=normal]
"grid: 5 4" -> "grid: 5 5" [label="E",arrowhead=normal]
"grid: 5 4" -> "grid: 6 5" [label="SE",arrowhead=normal]
"grid: 5 4" -> "grid: 6 4" [label="S",arrowhead=normal]
"grid: 5 4" -> "grid: 6 3" [label="SW",arrowhead=normal]
"grid: 5 4" -> "grid: 5 3" [label="W",arrowhead=normal]
"grid: 5 4" -> "grid: 4 3" [label="NW",arrowhead=normal]
"grid: 5 5" -> "grid: 4 5" [label="N",arrowhead=normal]
"grid: 5 5" -> "grid: 4 6" [label="NE",arrowhead=normal]
"grid: 5 5" -> "grid: 5 6" [label="E",arrowhead=normal]
"grid: 5 5" -> "grid: 6 6" [label="SE",arrowhead=normal]
"grid: 5 5" -> "grid: 6 5" [label="S",arrowhead=normal]
"grid: 5 5" -> "grid: 6 4" [label="SW",arrowhead=normal]
"grid: 5 5" -> "grid: 5 4" [label="W",arrowhead=normal]
"grid: 5 5" -> "grid: 4 4" [label="NW",arrowhead=normal]
"grid: 5 6" -> "grid: 4 6" [label="N",arrowhead=normal]
"grid: 5 6" -> "grid: 4 7" [label="NE",arrowhead=normal]
"grid: 5 6" -> "grid: 5 7" [label="E",arrowhead=normal]
"grid: 5 6" -> "grid: 6 7" [label="SE",arrowhead=normal]
"grid: 5 6" -> "grid: 6 6" [label="S",arrowhead=normal]
"grid: 5 6" -> "grid: 6 5" [label="SW",arrowhead=normal]
"grid: 5 6" -> "grid: 5 5" [label="W",arrowhead=normal]
"grid: 5 6" -> "grid: 4 5" [label="NW",arrowhead=normal]
"grid: 5 7" -> "grid: 4 7" [label="N",arrowhead=normal]
"grid: 5 7" -> "grid: 4 8" [label="NE",arrowhead=normal]
"grid: 5 7" -> "grid: 5 8" [label="E",arrowhead=normal]
"grid: 5 7" -> "grid: 6 8" [label="SE",arrowhead=normal]
"grid: 5 7" -> "grid: 6 7" [label="S",arrowhead=normal]
"grid: 5 7" -> "grid: 6 6" [label="SW",arrowhead=normal]
"grid: 5 7" -> "grid: 5 6" [label="W",arrowhead=normal]
"grid: 5 7" -> "grid: 4 6" [label="NW",arrowhead=normal]
"grid: 5 8" -> "grid: 4 8" [label="N",arrowhead=normal]
"grid: 5 8" -> "grid: 4 9" [label="NE",arrowhead=normal]
"grid: 5 8" -> "grid: 5 9" [label="E",arrowhead=normal]
"grid: 5 8" -> "grid: 6 9" [label="SE",arrowhead=normal]
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"grid: 10 3" -> "grid: 10 4" [label="E",arrowhead=normal]
"grid: 10 3" -> "grid: 10 2" [label="W",arrowhead=normal]
"grid: 10 3" -> "grid: 9 2" [label="NW",arrowhead=normal]
"grid: 10 4" -> "grid: 9 4" [label="N",arrowhead=normal]
"grid: 10 4" -> "grid: 9 5" [label="NE",arrowhead=normal]
"grid: 10 4" -> "grid: 10 5" [label="E",arrowhead=normal]
"grid: 10 4" -> "grid: 10 3" [label="W",arrowhead=normal]
"grid: 10 4" -> "grid: 9 3" [label="NW",arrowhead=normal]
"grid: 10 5" -> "grid: 9 5" [label="N",arrowhead=normal]
"grid: 10 5" -> "grid: 9 6" [label="NE",arrowhead=normal]
"grid: 10 5" -> "grid: 10 6" [label="E",arrowhead=normal]
"grid: 10 5" -> "grid: 10 4" [label="W",arrowhead=normal]
"grid: 10 5" -> "grid: 9 4" [label="NW",arrowhead=normal]
"grid: 10 6" -> "grid: 9 6" [label="N",arrowhead=normal]
"grid: 10 6" -> "grid: 9 7" [label="NE",arrowhead=normal]
"grid: 10 6" -> "grid: 10 7" [label="E",arrowhead=normal]
"grid: 10 6" -> "grid: 10 5" [label="W",arrowhead=normal]
"grid: 10 6" -> "grid: 9 5" [label="NW",arrowhead=normal]
"grid: 10 7" -> "grid: 9 7" [label="N",arrowhead=normal]
"grid: 10 7" -> "grid: 9 8" [label="NE",arrowhead=normal]
"grid: 10 7" -> "grid: 10 8" [label="E",arrowhead=normal]
"grid: 10 7" -> "grid: 10 6" [label="W",arrowhead=normal]
"grid: 10 7" -> "grid: 9 6" [label="NW",arrowhead=normal]
"grid: 10 8" -> "grid: 9 8" [label="N",arrowhead=normal]
"grid: 10 8" -> "grid: 9 9" [label="NE",arrowhead=normal]
"grid: 10 8" -> "grid: 10 9" [label="E",arrowhead=normal]
"grid: 10 8" -> "grid: 10 7" [label="W",arrowhead=normal]
"grid: 10 8" -> "grid: 9 7" [label="NW",arrowhead=normal]
"grid: 10 9" -> "grid: 9 9" [label="N",arrowhead=normal]
"grid: 10 9" -> "grid: 9 10" [label="NE",arrowhead=normal]
"grid: 10 9" -> "grid: 10 10" [label="E",arrowhead=normal]
"grid: 10 9" -> "grid: 10 8" [label="W",arrowhead=normal]
"grid: 10 9" -> "grid: 9 8" [label="NW",arrowhead=normal]
"grid: 10 10" -> "grid: 9 10" [label="N",arrowhead=normal]
"grid: 10 10" -> "grid: 10 9" [label="W",arrowhead=normal]
"grid: 10 10" -> "grid: 9 9" [label="NW",arrowhead=normal]
}