optimalActions: """
[[["West", "East"], 39], [["West", "East"], 27]]
[[["West"], 75], [["West"], 57]]
[[["West"], 95], [["West"], 77]]
[[["West", "North"], 72], [["West", "North"], 54]]
[[["West"], 51], [["West"], 39]]
[[["West", "North"], 76], [["West", "North"], 58]]
[[["West"], 69], [["West"], 51]]
[[["West"], 34], [["West"], 23]]
[[["North"], 55], [["North"], 41]]
[[["North"], 63], [["North"], 32]]
[[["North"], 87], [["North"], 43]]
[[["North"], 69], [["North"], 34]]
[[["Stop", "East"], 116], [["East"], 56]]
[[["East"], 110], [["East"], 52]]
[[["West"], 28], [["West"], 17]]
[[["South"], 15], [["South"], 9]]
[[["South"], 15], [["South"], 9]]
[[["South"], 15], [["South"], 9]]
[[["South"], 15], [["South"], 9]]
[[["East"], 15], [["East"], 9]]
[[["East"], 15], [["East"], 9]]
[[["East"], 18], [["East"], 12]]
[[["North"], 28], [["North"], 18]]
[[["North"], 47], [["North"], 30]]
[[["West"], 35], [["West"], 23]]
[[["East"], 28], [["East"], 15]]
[[["North"], 74], [["North"], 48]]
[[["East", "North"], 130], [["East", "North"], 87]]
[[["East", "North"], 213], [["East", "North"], 158]]
[[["North", "South"], 101], [["North", "South"], 73]]
[[["West"], 48], [["West"], 36]]
[[["West"], 60], [["West"], 45]]
[[["West", "Stop"], 49], [["West"], 36]]
[[["West", "Stop", "East"], 69], [["West", "East"], 49]]
[[["West", "Stop", "East"], 61], [["West", "East"], 41]]
[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
[[["Stop", "East", "South"], 28], [["East", "South"], 19]]
[[["Stop", "East", "South"], 34], [["East", "South"], 23]]
[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
[[["Stop", "East", "South"], 81], [["East", "South"], 53]]
[[["Stop", "East", "South"], 64], [["East", "South"], 43]]
[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
[[["Stop", "East", "South"], 81], [["East", "South"], 53]]
[[["Stop", "East", "South"], 102], [["East", "South"], 67]]
[[["Stop", "South"], 23], [["South"], 13]]
[[["South"], 15], [["South"], 9]]
[[["South"], 15], [["South"], 9]]
[[["South"], 15], [["South"], 9]]
[[["South"], 15], [["South"], 9]]
[[["East"], 15], [["East"], 9]]
[[["East"], 15], [["East"], 9]]
[[["East"], 18], [["East"], 12]]
[[["East", "North"], 28], [["East", "North"], 18]]
[[["East"], 35], [["East"], 22]]
[[["North"], 28], [["North"], 18]]
[[["North"], 38], [["North"], 22]]
[[["East"], 30], [["East"], 20]]
[[["East"], 33], [["East"], 18]]
[[["East"], 18], [["East"], 12]]
[[["East"], 33], [["East"], 23]]
[[["East"], 48], [["East"], 29]]
[[["East"], 49], [["East"], 26]]
[[["East"], 44], [["East"], 29]]
[[["North", "South"], 75], [["North", "South"], 52]]
[[["East", "North"], 113], [["East", "North"], 74]]
[[["East", "North"], 89], [["East", "North"], 65]]
[[["North", "South"], 173], [["North", "South"], 130]]
[[["West", "East"], 54], [["West", "East"], 42]]
[[["West", "Stop", "East"], 130], [["West", "East"], 87]]
[[["Stop", "East", "South"], 58], [["East", "South"], 43]]
[[["Stop", "East"], 110], [["South"], 82]]
[[["East"], 71], [["East"], 45]]
[[["West"], 66], [["West"], 42]]
[[["South"], 70], [["South"], 48]]
[[["South"], 48], [["South"], 37]]
[[["South"], 179], [["South"], 104]]
[[["South"], 68], [["South"], 41]]
[[["West"], 25], [["West"], 18]]
[[["West"], 41], [["West"], 29]]
[[["West"], 14], [["West"], 10]]
[[["West"], 20], [["West"], 14]]
[[["West"], 13], [["West"], 9]]
[[["West"], 13], [["West"], 9]]
[[["West"], 16], [["West"], 12]]
[[["West", "North"], 28], [["West", "North"], 20]]
[[["West"], 30], [["West"], 23]]
[[["West", "Stop", "East", "North"], 66], [["West", "East", "North"], 46]]
[[["West", "Stop", "East"], 126], [["West", "East"], 89]]
[[["West", "Stop", "East"], 30], [["West", "East"], 20]]
[[["Stop", "East", "North"], 67], [["East", "North"], 45]]
[[["Stop", "North"], 52], [["North"], 27]]
[[["North"], 30], [["North"], 19]]
[[["North"], 28], [["North"], 17]]
[[["North"], 17], [["North"], 11]]
[[["North"], 30], [["North"], 19]]
[[["East"], 28], [["East"], 17]]
[[["East"], 17], [["East"], 11]]
[[["East"], 40], [["East"], 29]]
[[["East", "South"], 79], [["East", "South"], 60]]
[[["East", "South"], 90], [["East", "South"], 62]]
[[["South"], 96], [["South"], 61]]
[[["North", "South"], 195], [["North", "South"], 132]]
[[["West"], 80], [["West"], 60]]
[[["West", "Stop", "East", "South"], 83], [["West", "East", "South"], 61]]
[[["West", "Stop", "East", "South"], 90], [["West", "East", "South"], 66]]
[[["West", "Stop", "East"], 134], [["West", "East"], 95]]
[[["West", "Stop", "East"], 82], [["West", "East"], 55]]
[[["Stop", "East", "South"], 142], [["East", "South"], 95]]
[[["Stop", "East", "South"], 95], [["East", "South"], 62]]
[[["Stop", "East", "South"], 128], [["East", "South"], 86]]
[[["Stop", "East", "South"], 82], [["East", "South"], 55]]
[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
[[["Stop", "East", "South"], 182], [["East", "South"], 119]]
[[["Stop", "East", "South"], 154], [["East", "South"], 103]]
[[["Stop", "South"], 46], [["South"], 25]]
[[["South"], 28], [["South"], 17]]
[[["South"], 15], [["South"], 9]]
[[["South"], 15], [["South"], 9]]
[[["South"], 15], [["South"], 9]]
[[["East"], 15], [["East"], 9]]
[[["East"], 15], [["East"], 9]]
[[["East"], 18], [["East"], 12]]
[[["East", "North"], 28], [["East", "North"], 18]]
[[["East"], 37], [["East"], 22]]
[[["East", "North"], 34], [["East", "North"], 24]]
[[["East"], 56], [["East"], 29]]
[[["East"], 17], [["East"], 11]]
[[["East"], 26], [["East"], 15]]
[[["East"], 15], [["East"], 9]]
[[["East"], 15], [["East"], 9]]
[[["East"], 18], [["East"], 12]]
[[["East"], 27], [["East"], 17]]
[[["East"], 37], [["East"], 22]]
[[["East", "North"], 37], [["East", "North"], 24]]
[[["East"], 56], [["East"], 29]]
[[["East"], 19], [["East"], 11]]
[[["North"], 26], [["North"], 15]]
[[["North"], 19], [["North"], 11]]
[[["North"], 30], [["North"], 17]]
[[["North"], 30], [["North"], 19]]
[[["West"], 28], [["West"], 19]]
[[["West"], 23], [["West"], 13]]
[[["West", "Stop", "East"], 7], [["West", "East"], 3]]
"""
altDepthActions: """
[["West", "East"], ["West", "East"], ["West", "East"], ["West", "East"]]
[["West"], ["West"], ["West"], ["West"]]
[["West"], ["West"], ["West"], ["West"]]
[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
[["West"], ["West"], ["West"], ["West"]]
[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
[["West"], ["West"], ["West"], ["West"]]
[["West"], ["West"], ["West"], ["West"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["Stop", "North"], ["North"]]
[["East"], ["East"], ["Stop", "East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["West"], ["West"], ["West"], ["West"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["West"], ["West"]]
[["East"], ["East"], ["East"], ["East"]]
[["North"], ["North"], ["North"], ["North"]]
[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
[["North", "South"], ["North", "South"], ["North"], ["North"]]
[["West"], ["West"], ["West"], ["West"]]
[["West"], ["West"], ["West", "Stop"], ["West"]]
[["West"], ["West"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East", "North"], ["East", "North"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["North", "South"], ["North", "South"], ["South"], ["South"]]
[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
[["North", "South"], ["North", "South"], ["North"], ["North"]]
[["West", "East"], ["West", "East"], ["East"], ["East"]]
[["West"], ["West"], ["East"], ["East"]]
[["Stop", "East", "South"], ["East", "South"], ["East"], ["East"]]
[["Stop", "East"], ["East"], ["Stop", "East"], ["South"]]
[["East"], ["East"], ["East"], ["East"]]
[["West"], ["West"], ["West"], ["West"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["West", "East"], ["West", "East"], ["West"], ["West"]]
[["West"], ["West"], ["West"], ["West"]]
[["West"], ["West"], ["West"], ["West"]]
[["West"], ["West"], ["West"], ["West"]]
[["West"], ["West"], ["West"], ["West"]]
[["West"], ["West"], ["West"], ["West"]]
[["West"], ["West"], ["West"], ["West"]]
[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
[["West"], ["West"], ["West"], ["West"]]
[["West", "Stop", "East", "North"], ["West", "East", "North"], ["West", "Stop", "East", "North"], ["West", "East", "North"]]
[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
[["Stop", "East", "North"], ["East", "North"], ["Stop", "East", "North"], ["East", "North"]]
[["Stop", "North"], ["North"], ["Stop", "North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
[["South"], ["South"], ["South"], ["South"]]
[["North", "South"], ["North", "South"], ["North", "South"], ["North", "South"]]
[["West"], ["West"], ["West"], ["West"]]
[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["South"], ["South"], ["South"], ["South"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
[["East"], ["East"], ["East"], ["East"]]
[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East", "North"], ["East", "North"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["East"], ["East"], ["East"], ["East"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["North"], ["North"], ["North"], ["North"]]
[["West"], ["West"], ["West"], ["West"]]
[["West"], ["West"], ["West"], ["West"]]
[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
"""
partialPlyBugActions: """
[["West", "East"], ["West", "East"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["West", "North"], ["West", "North"]]
[["West"], ["West"]]
[["West", "North"], ["West", "North"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["East"], ["East"]]
[["Stop", "East"], ["East"]]
[["West"], ["West"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["West"], ["West"]]
[["East"], ["East"]]
[["North"], ["North"]]
[["East", "North"], ["East", "North"]]
[["East", "North"], ["East", "North"]]
[["North", "South"], ["North", "South"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["West", "Stop"], ["West"]]
[["West", "Stop", "East"], ["West", "East"]]
[["West", "Stop", "East"], ["West", "East"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East", "North"], ["East", "North"]]
[["East"], ["East"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["North", "South"], ["North", "South"]]
[["East", "North"], ["East", "North"]]
[["East", "North"], ["East", "North"]]
[["North", "South"], ["North", "South"]]
[["West", "East"], ["West", "East"]]
[["West", "Stop", "East"], ["West", "East"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East"], ["East"]]
[["East"], ["East"]]
[["West"], ["West"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["West", "North"], ["West", "North"]]
[["West"], ["West"]]
[["West", "Stop", "East", "North"], ["West", "East", "North"]]
[["West", "Stop", "East"], ["West", "East"]]
[["West", "Stop", "East"], ["West", "East"]]
[["Stop", "East", "North"], ["East", "North"]]
[["Stop", "North"], ["North"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East", "South"], ["East", "South"]]
[["East", "South"], ["East", "South"]]
[["South"], ["South"]]
[["North", "South"], ["North", "South"]]
[["West"], ["West"]]
[["West", "Stop", "East", "South"], ["West", "East", "South"]]
[["West", "Stop", "East", "South"], ["West", "East", "South"]]
[["West", "Stop", "East"], ["West", "East"]]
[["West", "Stop", "East"], ["West", "East"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "East", "South"], ["East", "South"]]
[["Stop", "South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["South"], ["South"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East", "North"], ["East", "North"]]
[["East"], ["East"]]
[["East", "North"], ["East", "North"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["East", "North"], ["East", "North"]]
[["East"], ["East"]]
[["East"], ["East"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["North"], ["North"]]
[["West"], ["West"]]
[["West"], ["West"]]
[["West", "Stop", "East"], ["West", "East"]]
"""