archimedes_lever_note.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# In case of import requirements\n",
    "# verify version\n",
    "!python3 --version\n",
    "!pip install --upgrade luxai_s2\n",
    "!pip install importlib-metadata==4.13.0\n",
    "!pip install --upgrade moviepy # needed to render videos of episodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from luxai_s2.env import LuxAI_S2\n",
    "from lux.kit import obs_to_game_state, GameState, EnvConfig\n",
    "from lux.utils import my_turn_to_place_factory, direction_to \n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import plotly.express as px\n",
    "import random\n",
    "import math\n",
    "import cv2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "'''STRATEGY'''\n",
    "# TODO Gather statistics on the current water to power conversion utilizing the same seed as the previous tests (this entails retesting the old results)\n",
    "# []\n",
    "\n",
    "# TODO Take a good look at my strategy for watering lichen to ensure:\n",
    "#      [] No factory runs out of water at end of turn\n",
    "#      [] Every factory uses as much water as it possibly can, resulting in as close to 0 water remaining at turn 1000\n",
    "\n",
    "# TODO Add watering stategy evaluation that checks the available rubble free area connected to the factory to calculate when it needs to start\n",
    "#      watering to reach almost all of the area, while also considering the available water do cover this area.\n",
    "# []\n",
    "\n",
    "# TODO Evaluate weather to use 150-N turns to gather ore for multiplication of bots before water hoarding\n",
    "# []\n",
    "\n",
    "# TODO Set up a sentry function that checks if hostile lights are within vicinity of home factories and move light bots to eliminate it\n",
    "# []\n",
    "\n",
    "# TODO Prioritysation can be achieved through a ordering section followed by a section where moves are validated or shifted through prioritizations\n",
    "# []\n",
    "\n",
    "\n",
    "'''PLACEMENT LOCATIONS'''\n",
    "# TODO Work on spawn placement by displaying alternative selection methods on paralell and overlapping masks to find spawn points that allow\n",
    "#      placing on rubble, but with low/no rubble tiles ajacent to allow water conversion to start early.\n",
    "# []\n",
    "\n",
    "# TODO Simple switch from average rubble to median rubble for spawn selection better?\n",
    "# []\n",
    "\n",
    "\n",
    "'''HEAVY BEHAVIOUR'''\n",
    "# TODO Fix bug where heavy overwatch still ends up loosing heavy bot to hostile in duel\n",
    "# []\n",
    "\n",
    "# TODO Implement a behaviour check for when to transfer ice prematurely to its home factory by checking if the factory has critical water\n",
    "# []\n",
    "\n",
    "# TODO Add \"hostile_facotry_ajacent\" to heavy and light overwatch functions and checks to avoid random choice of trying to attack, when it should\n",
    "#      move home (always when next to hostile factory)\n",
    "# []\n",
    "\n",
    "\n",
    "'''LIGHT BEHAVIOUR'''\n",
    "# TODO Light bots attacking hostile bots seem to ignore booked coords already placed and collides with friendy bots thinking the same. This needs \n",
    "#      to be fixed to be able to withstand hordes of hostile light bots.\n",
    "#      To fix this, I'l modify the move booking system to be a hashmap with lists of the unit_id's that try to book that tile. After all\n",
    "#      move bookings have been placed, the hashmap is iterated over to see if any of the lists of unit_id's are larger than 1.\n",
    "#      If this is the case, the light bot (identified from light units from the units.items() is selected to change it's action to move away)\n",
    "#      before the actions are submitted.\n",
    "# [X]\n",
    "\n",
    "\n",
    "# TODO Set one light bot to mining assignment. If closest factory has more than 1500 power, recharge there. This bot assignment does not stop\n",
    "#      mining ore for new bots until turn N\n",
    "# []\n",
    "\n",
    "\n",
    "'''MISC'''\n",
    "# TODO Change spawn selection from using coordinates to use Djikstra algorithm to calculate distances from each ice tile, which then returns the\n",
    "#      average of the heatmap instead of ajacent rubble tiles for that ice tile.\n",
    "#      This means retooling the spawn filtering section to evaluate the spawns by their \"distance score\".\n",
    "# []\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "hovertemplate": "x: %{x}<br>y: %{y}<br>color: [%{z[0]}, %{z[1]}, %{z[2]}]<extra></extra>",
         "name": "0",
         "source": "data:image/png;base64,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",
         "type": "image",
         "xaxis": "x",
         "yaxis": "y"
        }
       ],
       "layout": {
        "margin": {
         "t": 60
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "fillpattern": {
             "fillmode": "overlay",
             "size": 10,
             "solidity": 0.2
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "anchor": "y",
         "domain": [
          0,
          1
         ]
        },
        "yaxis": {
         "anchor": "x",
         "domain": [
          0,
          1
         ]
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "env = LuxAI_S2() # create the environment object\n",
    "obs = env.reset(seed=3078600532) # resets an environment with a seed\n",
    "\n",
    "# the observation is always composed of observations for both players.\n",
    "obs.keys(), obs[\"player_0\"].keys()\n",
    "\n",
    "# visualize the environment so far with rgb_array to get a quick look at the map\n",
    "# dark orange - high rubble, light orange - low rubble\n",
    "# blue = ice, yellow = ore\n",
    "img = env.render(\"rgb_array\", width=48, height=48)\n",
    "px.imshow(img).show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# TODO can be replaced with the interval method for searching in a square radius, perhaps not required to have else vision\n",
    "\n",
    "# TODO replace use of this function with the interval function\n",
    "def get_factory_tiles_from_center(x, y):\n",
    "    return np.array([\n",
    "        (x, y), # factory center\n",
    "        (x-1, y), (x, y-1), # left and top\n",
    "        (x+1, y), (x, y+1), # right and bottom\n",
    "        (x-1, y-1), (x+1, y-1), # diagonals\n",
    "        (x-1, y+1), (x+1, y+1), # diagonals\n",
    "    ]) \n",
    "'''\n",
    "[.][.][.]\n",
    "[.][.][.]\n",
    "[.][.][.]\n",
    "'''\n",
    "\n",
    "\n",
    "def get_factory_occupied_tiles(x, y):\n",
    "    return np.array([\n",
    "        (x, y), # factory center\n",
    "        (x-1, y), (x, y-1), # left and top\n",
    "        (x+1, y), (x, y+1), # right and bottom\n",
    "        (x-1, y-1), (x+1, y-1), # diagonals\n",
    "        (x-1, y+1), (x+1, y+1), # diagonals\n",
    "        (x-2, y), (x, y-2), # left and top \n",
    "        (x+2, y), (x, y+2), # right and bottom \n",
    "        (x-2, y-1), (x-1, y-2), (x-2, y-2), # left and top diagonals \n",
    "        (x+2, y+1), (x+1, y+2), (x+2, y+2), # right and bottom diagonals \n",
    "        (x+2, y-1), (x+1, y-2), (x+2, y-2), # right and top diagonals \n",
    "        (x-2, y+1), (x-1, y+2), (x-2, y+2), # left and bottom diagonals \n",
    "        (x-3, y), (x, y-3), (x+3, y), (x, y+3), # left and top\n",
    "        (x-3, y), (x, y-3), (x+3, y), (x, y+3), # right and bottom\n",
    "        (x-3, y-1), (x-1, y-3), (x-3, y-3), # left and top diagonals \n",
    "        (x+3, y+1), (x+1, y+3), (x+3, y+3), # right and bottom diagonals \n",
    "        (x+3, y-1), (x+1, y-3), (x+3, y-3), # left and top diagonals \n",
    "        (x-3, y+1), (x-1, y+3), (x-3, y+3), # right and bottom diagonals \n",
    "        (x-4, y), (x, y-4), (x+4, y), (x, y+4), # left and top\n",
    "        (x-5, y), (x, y-5), (x+5, y), (x, y+5), # right and bottom\n",
    "    ]) \n",
    "'''\n",
    "    [ ][ ][.][ ][ ]\n",
    "    [ ][ ][.][ ][ ]\n",
    "    [ ][.][.][.][ ]\n",
    " [.][.][.][X][.][.][.]\n",
    "    [ ][.][.][.][ ]\n",
    "    [ ][ ][.][ ][ ]\n",
    "    [ ][ ][.][ ][ ]\n",
    "'''\n",
    "\n",
    "\n",
    "def get_tiles_by_interval(x, y, interval_x, interval_y):\n",
    "    coordinates = np.array(\n",
    "        [(x + n, y + m) for n in range((-1 * interval_x), interval_x +1) for m in range((-1 * interval_y), interval_y +1) if (0 <= (x + n) <= 47) and (0 <= (y + m) <= 47)]\n",
    "    )\n",
    "    return coordinates\n",
    "'''\n",
    "    ^ interval y\n",
    "    [ ][ ][ ]\n",
    "    [ ][ ][ ]\n",
    "    [ ][ ][ ]\n",
    "    interval x ->\n",
    "'''\n",
    "\n",
    "\n",
    "# TODO use this so i can remove opponent factory tile neighbours from rubble removal\n",
    "def get_surrounding_tiles_by_interval(x, y, interval_x, interval_y):\n",
    "    coordinates = np.array(\n",
    "        [\n",
    "            (x + n, y + m) for n in range((-1 * interval_x), interval_x +1) for m in range((-1 * interval_y), interval_y +1) if\n",
    "            (0 <= (x + n) <= 47) and (n < -1 or n > 1 or m < -1 or m > 1) and\n",
    "            (0 <= (y + m) <= 47) #and (m < -1 or m > 1)\n",
    "        ]\n",
    "    )\n",
    "    return coordinates \n",
    "'''\n",
    "X = not marked factory tiles\n",
    "    ^ interval y\n",
    "    [ ][ ][ ][ ][ ][ ][ ]\n",
    "    [ ][ ][ ][ ][ ][ ][ ]\n",
    "    [ ][ ][X][X][X][ ][ ]\n",
    "    [ ][ ][X][X][X][ ][ ]\n",
    "    [ ][ ][X][X][X][ ][ ]\n",
    "    [ ][ ][ ][ ][ ][ ][ ]\n",
    "    [ ][ ][ ][ ][ ][ ][ ]\n",
    "    interval x ->\n",
    "'''\n",
    "\n",
    "\n",
    "def get_bordering_coords(x, y):\n",
    "    return np.array([\n",
    "        (x, y), # center\n",
    "        (x-1, y), (x, y-1), # left and top\n",
    "        (x+1, y), (x, y+1), # right and bottom\n",
    "        (x-1, y-1), (x+1, y-1), # diagonals\n",
    "        (x-1, y+1), (x+1, y+1), # diagonals\n",
    "    ])\n",
    "\n",
    "\n",
    "# function used by Archimedes for locating resource border coordinates\n",
    "def neighbors(x, y):\n",
    "    return np.array([\n",
    "        # startes at layer 2 to give buffer, avoiding placing factory on resource\n",
    "        (x-2, y), (x, y-2), # left and top \n",
    "        (x+2, y), (x, y+2), # right and bottom \n",
    "\n",
    "        (x-2, y-1), (x-1, y-2), # (x-2, y-2), # left and top diagonals \n",
    "        (x+2, y+1), (x+1, y+2), # (x+2, y+2), # right and bottom diagonals \n",
    "\n",
    "        (x+2, y-1), (x+1, y-2), # (x+2, y-2), # right and top diagonals \n",
    "        (x-2, y+1), (x-1, y+2), # (x-2, y+2), # left and bottom diagonals \n",
    "    ])\n",
    "'''\n",
    "[ ][.][.][.][ ]\n",
    "[.][ ][ ][ ][.]\n",
    "[.][ ][X][ ][.]\n",
    "[.][ ][ ][ ][.]\n",
    "[ ][.][.][.][ ]\n",
    "'''\n",
    "\n",
    "\n",
    "def coord_from_direction(x, y, direction):\n",
    "    if direction == 0:\n",
    "        return (x, y)\n",
    "    elif direction == 1:\n",
    "        return (x, y-1)\n",
    "    elif direction == 2:\n",
    "        return (x+1, y)\n",
    "    elif direction == 3:\n",
    "        return (x, y+1)\n",
    "    elif direction == 4:\n",
    "        return (x-1, y)\n",
    "\n",
    "\n",
    "def expedition_check_tile_occupation(game_state, unit_x, unit_y, direction, player, opponent):\n",
    "    friendly_bots = game_state.units[player]\n",
    "    hostile_bots = game_state.units[opponent]\n",
    "\n",
    "    friendly_coords = [(unit.pos[0], unit.pos[1]) for (unit_id, unit) in friendly_bots.items()]\n",
    "    hostile_lights = [(unit.pos[0], unit.pos[1]) for unit_id, unit in hostile_bots.items() if unit.unit_type == 'LIGHT']\n",
    "    hostile_heavys = [(unit.pos[0], unit.pos[1]) for unit_id, unit in hostile_bots.items() if unit.unit_type == 'HEAVY']\n",
    "\n",
    "    # a[1] = direction (1 = up, 2 = right, 3 = down, 4 = left)\n",
    "    # move_deltas = np.array([0, -1], [1, 0], [0, 1], [-1, 0]])\n",
    "    bot_center = (unit_x, unit_y)\n",
    "    bot_up = (unit_x, unit_y - 1)\n",
    "    bot_right = (unit_x + 1, unit_y)\n",
    "    bot_down = (unit_x, unit_y + 1)\n",
    "    bot_left = (unit_x - 1, unit_y)\n",
    "\n",
    "    # checks if no friendly is on direction tile, if none, direction remains, else set to 0\n",
    "    up_friendly = (bot_up not in friendly_coords) * 1\n",
    "    right_friendly = (bot_right not in friendly_coords) * 2\n",
    "    down_friendly = (bot_down not in friendly_coords) * 3\n",
    "    left_friendly = (bot_left not in friendly_coords) * 4\n",
    "\n",
    "\n",
    "\n",
    "    # checks if no friendly is on direction tile, if none, direction remains, else set to 0\n",
    "    up_friendly = (not any(bot_up == f_pos for f_pos in friendly_coords)) * 1\n",
    "    right_friendly = (not any(bot_right == f_pos for f_pos in friendly_coords)) * 2\n",
    "    down_friendly = (not any(bot_down == f_pos for f_pos in friendly_coords)) * 3\n",
    "    left_friendly = (not any(bot_left == f_pos for f_pos in friendly_coords)) * 4\n",
    "    \n",
    "    # checks if hostile bot is on direction tile, if there is one of type 'LIGHT', direction remains, else set to 0\n",
    "    up_hostile = True if not any(bot_up == h_pos for h_pos in hostile_heavys) or any(bot_up == h_pos for h_pos in hostile_lights) else False\n",
    "    right_hostile = True if not any(bot_right == h_pos for h_pos in hostile_heavys) or any(bot_right == h_pos for h_pos in hostile_lights) else False\n",
    "    down_hostile = True if not any(bot_down == h_pos for h_pos in hostile_heavys) or any(bot_down == h_pos for h_pos in hostile_lights) else False\n",
    "    left_hostile = True if not any(bot_left == h_pos for h_pos in hostile_heavys) or any(bot_left == h_pos for h_pos in hostile_lights) else False\n",
    "\n",
    "\n",
    "    # sets non occupied tile directions\n",
    "    up_free = up_friendly * up_hostile\n",
    "    right_free = right_friendly * right_hostile\n",
    "    down_free = down_friendly * down_hostile\n",
    "    left_free = left_friendly * left_hostile\n",
    "\n",
    "\n",
    "    # finds possible directions not occupied by friendly bots and hostile bots\n",
    "    directions = [up_free, right_free, down_free, left_free]\n",
    "    if direction in directions:\n",
    "        return direction\n",
    "\n",
    "    # if all direction tiles occupied with friendly bots, recharge recommended\n",
    "    return 0\n",
    "'''\n",
    "       []1\n",
    "    []2[]0[]4\n",
    "       []3\n",
    "''' \n",
    "\n",
    "\n",
    "\n",
    "\n",
    "# function used by Archimedes to check if tile is occupied by other bots\n",
    "def check_tile_occupation(game_state, unit_x, unit_y, direction, booked_coords, player, opponent):\n",
    "    friendly_bots = game_state.units[player]\n",
    "    hostile_bots = game_state.units[opponent]\n",
    "\n",
    "    friendly_coords = {(unit.pos[0], unit.pos[1]): unit.unit_type for (unit_id, unit) in friendly_bots.items()}\n",
    "    hostile_coords = {(unit.pos[0], unit.pos[1]): unit.unit_type for (unit_id, unit) in hostile_bots.items()}\n",
    "\n",
    "    # coords relative to bot position\n",
    "    # a[1] = direction (1 = up, 2 = right, 3 = down, 4 = left)\n",
    "    # move_deltas = np.array([0, -1], [1, 0], [0, 1], [-1, 0]])\n",
    "    bot_center = (unit_x, unit_y)\n",
    "    bot_up = (unit_x, unit_y - 1)\n",
    "    bot_right = (unit_x + 1, unit_y)\n",
    "    bot_down = (unit_x, unit_y + 1)\n",
    "    bot_left = (unit_x - 1, unit_y)\n",
    "\n",
    "\n",
    "    # checks if no friendly is on direction tile, if none, direction remains, else set to 0\n",
    "    up_friendly = (bot_up not in friendly_coords and (bot_up not in booked_coords)) * 1\n",
    "    right_friendly = (bot_right not in friendly_coords and (bot_right not in booked_coords)) * 2\n",
    "    down_friendly = (bot_down not in friendly_coords and (bot_down not in booked_coords)) * 3\n",
    "    left_friendly = (bot_left not in friendly_coords and (bot_left not in booked_coords)) * 4\n",
    "\n",
    "    # checks if hostile bot is on direction tile, if there is one of type 'LIGHT', direction remains, else set to 0\n",
    "    up_hostile = True if (bot_up not in hostile_coords) or (bot_up in hostile_coords and hostile_coords[bot_up] == 'LIGHT' ) else False\n",
    "    right_hostile = True if (bot_right not in hostile_coords) or (bot_right in hostile_coords and hostile_coords[bot_right] == 'LIGHT' ) else False\n",
    "    down_hostile = True if (bot_down not in hostile_coords) or (bot_down in hostile_coords and hostile_coords[bot_down] == 'LIGHT' ) else False\n",
    "    left_hostile = True if (bot_left not in hostile_coords) or (bot_left in hostile_coords and hostile_coords[bot_left] == 'LIGHT' ) else False\n",
    "\n",
    "    # sets non occupied tile directions\n",
    "    up_free = up_friendly * up_hostile\n",
    "    right_free = right_friendly * right_hostile\n",
    "    down_free = down_friendly * down_hostile\n",
    "    left_free = left_friendly * left_hostile\n",
    "\n",
    "\n",
    "    # finds possible directions not occupied by friendly bots and hostile bots\n",
    "    directions = [up_free, right_free, down_free, left_free]\n",
    "    if direction in directions:\n",
    "        return direction\n",
    "    \n",
    "    elif sum(directions) > 0:\n",
    "        alt_directions = [d for d in directions if d > 0]\n",
    "        return random.choice(alt_directions)\n",
    " \n",
    "    # if all direction tiles occupied with friendly bots, recharge recommended\n",
    "    return 0\n",
    "'''\n",
    "       []1\n",
    "    []2[]0[]4\n",
    "       []3\n",
    "'''\n",
    "\n",
    "def heavy_overwatch(unit, on_factory, closest_factory_tile, game_state, opponent):\n",
    "    unit_x = unit.pos[0]\n",
    "    unit_y = unit.pos[1]\n",
    "    # gets hostile bot coords\n",
    "    hostile_bots = game_state.units[opponent]\n",
    "    hostile_coords_heavy = [(unit.pos[0], unit.pos[1]) for (unit_id, unit) in hostile_bots.items() if unit.unit_type == 'HEAVY']\n",
    "\n",
    "    # coords relative to bot position\n",
    "    # a[1] = direction (1 = up, 2 = right, 3 = down, 4 = left)\n",
    "    # move_deltas = np.array([0, -1], [1, 0], [0, 1], [-1, 0]])\n",
    "    bot_up = (unit_x, unit_y - 1)\n",
    "    bot_right = (unit_x + 1, unit_y)\n",
    "    bot_down = (unit_x, unit_y + 1)\n",
    "    bot_left = (unit_x - 1, unit_y)\n",
    "\n",
    "    # checks if hostile bot is on directly neighbouring tiles, and is of type HEAVY\n",
    "    up_hostile = True if (bot_up in hostile_coords_heavy) else False\n",
    "    right_hostile = True if (bot_right in hostile_coords_heavy) else False\n",
    "    down_hostile = True if (bot_down in hostile_coords_heavy) else False\n",
    "    left_hostile = True if (bot_left in hostile_coords_heavy) else False\n",
    "    hostile_on_flank = (up_hostile or right_hostile or down_hostile or left_hostile)\n",
    "\n",
    "    # check for heavy hostiles on opposing tiles, if on factory tile move on hostile tile, else move to closest factory tile \n",
    "    if on_factory and hostile_on_flank:\n",
    "        up_target = up_hostile * 1\n",
    "        right_target = right_hostile * 2\n",
    "        down_target = down_hostile * 3\n",
    "        left_target = left_hostile * 4\n",
    "        directions = [up_target, right_target, down_target, left_target]\n",
    "        target_dir = [target for target in directions if target != 0]\n",
    "\n",
    "        return random.choice(target_dir)\n",
    "    \n",
    "    # attack if energy is greater than 240, but introduced random choice to disengage and move home\n",
    "    elif not on_factory and hostile_on_flank:\n",
    "        if unit.power > 240:\n",
    "            up_target = up_hostile * 1\n",
    "            right_target = right_hostile * 2\n",
    "            down_target = down_hostile * 3\n",
    "            left_target = left_hostile * 4\n",
    "            directions = [up_target, right_target, down_target, left_target, direction_to(np.array([unit_x, unit_y]), target=closest_factory_tile)]\n",
    "            target_dir = [target for target in directions if target != 0]\n",
    "            return random.choice(target_dir)\n",
    "        \n",
    "        else:\n",
    "            return direction_to(src=np.array([unit_x, unit_y]), target=closest_factory_tile)\n",
    "    \n",
    "    else:\n",
    "        return False\n",
    "\n",
    "\n",
    "def light_overwatch(unit, on_factory, on_ice_assistance, home_factory, booked_coords, overwatch_priority, game_state, player, opponent):\n",
    "    # gets hostile bot coords\n",
    "    hostile_bots = game_state.units[opponent]\n",
    "    hostile_coords_heavy = [(unit.pos[0], unit.pos[1]) for (unit_id, unit) in hostile_bots.items() if unit.unit_type == 'HEAVY']\n",
    "    hostile_coords_light = [(unit.pos[0], unit.pos[1]) for (unit_id, unit) in hostile_bots.items() if unit.unit_type == 'LIGHT']\n",
    "\n",
    "    # coords relative to bot position\n",
    "    # a[1] = direction (1 = up, 2 = right, 3 = down, 4 = left)\n",
    "    # move_deltas = np.array([0, -1], [1, 0], [0, 1], [-1, 0]])\n",
    "    unit_x = unit.pos[0]\n",
    "    unit_y = unit.pos[1]\n",
    "    bot_center = (unit_x, unit_y)\n",
    "    bot_up = (unit_x, unit_y - 1)\n",
    "    bot_right = (unit_x + 1, unit_y)\n",
    "    bot_down = (unit_x, unit_y + 1)\n",
    "    bot_left = (unit_x - 1, unit_y)\n",
    "\n",
    "    # checks if light hostile bot is on directly neighbouring tiles\n",
    "    up_hostile_light = True if (bot_up in hostile_coords_light) else False\n",
    "    right_hostile_light = True if (bot_right in hostile_coords_light) else False\n",
    "    down_hostile_light = True if (bot_down in hostile_coords_light) else False\n",
    "    left_hostile_light = True if (bot_left in hostile_coords_light) else False\n",
    "    light_hostile_on_flank = (up_hostile_light or right_hostile_light or down_hostile_light or left_hostile_light)\n",
    "\n",
    "    # checks if heavy hostile bot is on directly neighbouring tiles\n",
    "    up_hostile_heavy = True if (bot_up in hostile_coords_heavy) else False\n",
    "    right_hostile_heavy = True if (bot_right in hostile_coords_heavy) else False\n",
    "    down_hostile_heavy = True if (bot_down in hostile_coords_heavy) else False\n",
    "    left_hostile_heavy = True if (bot_left in hostile_coords_heavy) else False\n",
    "    heavy_hostile_on_flank = (up_hostile_heavy or right_hostile_heavy or down_hostile_heavy or left_hostile_heavy)\n",
    "\n",
    "\n",
    "    # if only heavy hostile on flank, returns direction that is away from heavy hostile\n",
    "    if heavy_hostile_on_flank and not light_hostile_on_flank and not on_ice_assistance:\n",
    "        if up_hostile_heavy:\n",
    "            return 3\n",
    "        elif right_hostile_heavy:\n",
    "            return 4\n",
    "        elif down_hostile_heavy:\n",
    "            return 1\n",
    "        elif left_hostile_heavy:\n",
    "            return 2\n",
    "    \n",
    "    # if light hostile on flank, attack\n",
    "    elif light_hostile_on_flank and unit.power >= 20 and not on_ice_assistance:\n",
    "        up_target = up_hostile_light * 1\n",
    "        right_target = right_hostile_light * 2\n",
    "        down_target = down_hostile_light * 3\n",
    "        left_target = left_hostile_light * 4\n",
    "        directions = [up_target, right_target, down_target, left_target]\n",
    "        target_dir = [target for target in directions if target != 0]\n",
    "        return random.choice(target_dir)\n",
    "\n",
    "    # if light on flank, but below unit power threshold\n",
    "    elif light_hostile_on_flank and unit.power < 20 and not on_ice_assistance:\n",
    "        direction = direction_to(unit.pos, home_factory)\n",
    "        newDirection = check_tile_occupation(\n",
    "            game_state=game_state,\n",
    "            unit_x=unit_x,\n",
    "            unit_y=unit_y,\n",
    "            direction=direction,\n",
    "            booked_coords=booked_coords,\n",
    "            player=player,\n",
    "            opponent=opponent\n",
    "        )\n",
    "        num_coord_bookings = book_coordinate(unit_id=unit.unit_id, booking_coordinate=coord_from_direction(x=unit_x, y=unit_y, direction=newDirection), move_bookings=booked_coords)\n",
    "        #booked_coords[coord_from_direction(x=unit_x, y=unit_y, direction=newDirection)] = overwatch_priority\n",
    "        return newDirection\n",
    "\n",
    "    # move home if unit position is booked\n",
    "    elif bot_center in booked_coords:\n",
    "        evasion_direction = direction_to([unit_x, unit_y], home_factory)\n",
    "        newDirection = check_tile_occupation(\n",
    "            game_state=game_state,\n",
    "            unit_x=unit_x,\n",
    "            unit_y=unit_y,\n",
    "            direction=evasion_direction,\n",
    "            booked_coords=booked_coords,\n",
    "            player=player,\n",
    "            opponent=opponent\n",
    "        )\n",
    "        booked_coords[coord_from_direction(x=unit_x, y=unit_y, direction=newDirection)] = overwatch_priority\n",
    "        return newDirection\n",
    "\n",
    "    # if no overwatch triggers return this status\n",
    "    else:\n",
    "        return False\n",
    "\n",
    "\n",
    "def get_closest_factory_tile(unit_x, unit_y, factories):\n",
    "    closest_factory = sorted([(factory.pos, factory) for factory_id, factory in factories.items()], key=lambda f: (f[0][0] - unit_x)**2 + (f[0][1] - unit_y)**2)[0]\n",
    "    factory_pos = closest_factory[0]\n",
    "    factory = closest_factory[1]\n",
    "    return (factory_pos, factory)\n",
    "\n",
    "\n",
    "# checks if any other bots have booked the coordinate, and keeps track of how many have booked the same coordinate through move_bookings\n",
    "def book_coordinate(unit_id, booking_coordinate, move_bookings):\n",
    "    if booking_coordinate in move_bookings:\n",
    "        move_bookings[booking_coordinate].append(unit_id)\n",
    "        return len(move_bookings[booking_coordinate])\n",
    "\n",
    "    elif booking_coordinate not in move_bookings:\n",
    "        move_bookings[booking_coordinate] = [unit_id]\n",
    "        return len(move_bookings[booking_coordinate])\n",
    "\n",
    "\n",
    "class Archimedes_Lever():\n",
    "    def __init__(self, player: str, env_cfg: EnvConfig) -> None:\n",
    "        self.player = player\n",
    "        self.opp_player = \"player_1\" if self.player == \"player_0\" else \"player_0\"\n",
    "        self.env_cfg: EnvConfig = env_cfg\n",
    "\n",
    "        # dictionary for keeping track of bots home factory by unit_id and home coord\n",
    "        self.home_factory = dict()\n",
    "\n",
    "    # Setup of early game\n",
    "    def early_setup(self, step: int, obs, remainingOverageTime: int = 60):\n",
    "        if step == 0:\n",
    "            # bid 0 to not waste resources bidding and declare as the default faction\n",
    "            # you can bid -n to prefer going second or n to prefer going first in placement\n",
    "            return dict(faction=\"AlphaStrike\", bid=10)\n",
    "        else:\n",
    "            game_state = obs_to_game_state(step, self.env_cfg, obs)\n",
    "            my_turn_to_evaluate_spawns = my_turn_to_place_factory(game_state.teams[self.player].place_first, step)\n",
    "\n",
    "            ### Using numpy arrays, maps out desirable spawn locations\n",
    "            # only processes map on my placement turns\n",
    "            if my_turn_to_evaluate_spawns:\n",
    "                # gets border indexes of ore coordinates and ice coordinates\n",
    "                indOre = np.transpose(np.where(game_state.board.ore > 0))\n",
    "                indIce = np.transpose(np.where(game_state.board.ice > 0))\n",
    "                indFactories = np.transpose(np.where(game_state.board.factory_occupancy_map >= 0))\n",
    "\n",
    "                # finds possible spawns around resources\n",
    "                array_spawns = np.unique(np.concatenate(\n",
    "                    [neighbors(*ind) for ind in indIce],\n",
    "                    #[neighbors(*ind) for ind in iceSpawns],\n",
    "                    ), axis=0)\n",
    "\n",
    "                # finds tiles that are occupied or invalid spawn coords\n",
    "                array_occupied_coords = np.unique(np.concatenate([get_factory_occupied_tiles(*i) for i in indFactories]), axis=0) if len(indFactories) > 0 else []\n",
    "                array_invalid_coords = np.unique(np.concatenate(\n",
    "                    (np.concatenate([get_bordering_coords(*ind) for ind in indOre], axis=0),\n",
    "                    np.concatenate([get_bordering_coords(*ind) for ind in indIce], axis=0))\n",
    "                ), axis=0)\n",
    "\n",
    "\n",
    "                # filters spawn coords for outside map coords (and those doesn't include spawns on map border), and those overlapping ivalid or occupied tiles\n",
    "                x_search_radius = 3\n",
    "                y_search_radius = 3\n",
    "                array_inside_map_spawns = [\n",
    "                    (np.array(\n",
    "                        [spawn_coord[0], spawn_coord[1]]), # first element in tuple is np array coordinate\n",
    "                        np.mean(                        # second elment in tuple is mean rubble value from ajacent coords\n",
    "                            [game_state.board.rubble[c[0]][c[1]] for c in get_surrounding_tiles_by_interval(x=spawn_coord[0], y=spawn_coord[1], interval_x=x_search_radius, interval_y=y_search_radius)]\n",
    "                        )\n",
    "                    ) for spawn_coord in array_spawns if (2 <= spawn_coord[0] <= 45) and (2 <= spawn_coord[1] <= 45)\n",
    "                ]\n",
    "                array_valid_spawns = [coord for coord in array_inside_map_spawns if \n",
    "                    all(all(coord[0] == inv_coord) == False for inv_coord in array_invalid_coords) and \n",
    "                    all(all(coord[0] == occ_coord) == False for occ_coord in array_occupied_coords)\n",
    "                ]\n",
    "\n",
    "                '''\n",
    "                # TODO mirror filtering here\n",
    "                desirable_coordinates_filtered = np.copy(game_state.board.valid_spawns_mask)\n",
    "                desirable_coordinates_filtered[desirable_coordinates_filtered == 1] = 0\n",
    "                for coord in array_valid_spawns:\n",
    "                    desirable_coordinates_filtered[coord[0]][coord[1]] == 1\n",
    "                # visualizes the map and AI vision\n",
    "                img = env.render(\"rgb_array\", width=48, height=48)\n",
    "                #px.imshow(game_state.board.rubble.T).show()\n",
    "                px.imshow(img).show()\n",
    "                px.imshow(desirable_coordinates_filtered.T).show()\n",
    "                '''\n",
    "\n",
    "                ### Factory placement period\n",
    "                # how much water and metal you have in your starting pool to give to new factories\n",
    "                water_left = game_state.teams[self.player].water\n",
    "                metal_left = game_state.teams[self.player].metal\n",
    "                \n",
    "                # how many factories you have left to place, and if its my turn to place\n",
    "                factories_to_place = game_state.teams[self.player].factories_to_place\n",
    "                my_turn_to_place = my_turn_to_place_factory(game_state.teams[self.player].place_first, step)\n",
    "\n",
    "                if factories_to_place > 0 and my_turn_to_place and len(array_valid_spawns) > 0:\n",
    "                    array_sorted_spawns = sorted(array_valid_spawns, key=lambda coord: coord[1])\n",
    "                    #print(\"spawn choices\", len(array_sorted_spawns))\n",
    "                    #print(array_sorted_spawns[0][0])\n",
    "                    spawn_loc = array_sorted_spawns[0][0]\n",
    "                    if water_left < 150 and metal_left < 150:\n",
    "                        return dict(spawn=spawn_loc, metal=metal_left, water=water_left)\n",
    "                    else:\n",
    "                        return dict(spawn=spawn_loc, metal=150, water=150)\n",
    "\n",
    "                else:\n",
    "                    # returns empty dictionary if there are no  valid spawn points to choose from\n",
    "                    return dict()\n",
    "\n",
    "            else:\n",
    "                # returns empty dictionary if no decisions were reached\n",
    "                return dict()\n",
    "\n",
    "\n",
    "    \n",
    "    # Setup of logic in the act phase\n",
    "    def act(self, step: int, obs, remainingOverageTime: int = 60):\n",
    "        # game state and other variables\n",
    "        actions = dict()\n",
    "        game_state: GameState = obs_to_game_state(step, self.env_cfg, obs)\n",
    "        game_state.teams[self.player].place_first\n",
    "\n",
    "\n",
    "        ### Factory decision making\n",
    "        factories = game_state.factories[self.player]\n",
    "        factory_tiles, factory_units, factory_centers = [], [], []\n",
    "        for unit_id, factory in factories.items():\n",
    "            center = factory.pos\n",
    "            tiles = get_factory_tiles_from_center(x=center[0], y=center[1])\n",
    "            factory_centers += [center]\n",
    "            for tile in tiles:\n",
    "                factory_tiles += [tile]\n",
    "            factory_units += [factory]\n",
    "        factory_tiles = np.array(factory_tiles)\n",
    "\n",
    "        hostile_factory_centers, hostile_factory_tiles = [], []\n",
    "        for h_unit_id, h_factory in game_state.factories[self.opp_player].items():\n",
    "            center = h_factory.pos\n",
    "            hostile_factory_centers.append(center)\n",
    "\n",
    "            tiles = get_factory_tiles_from_center(x=center[0], y=center[1])\n",
    "            for tile in tiles:\n",
    "                hostile_factory_tiles += [tile]\n",
    "        hostile_factory_tiles = np.array(hostile_factory_tiles)\n",
    "\n",
    "        # Creation of bots\n",
    "        heavy_bot_cost = self.env_cfg.ROBOTS[\"HEAVY\"]\n",
    "        light_bot_cost = self.env_cfg.ROBOTS[\"LIGHT\"]\n",
    "\n",
    "        # heavy bots\n",
    "        for unit_id, factory in factories.items():\n",
    "            center_occupied = any((factory.pos[0], factory.pos[1]) == (unit.pos[0], unit.pos[1]) for unit_id, unit in game_state.units[self.player].items())\n",
    "            #print(center_occupied, (factory.pos[0], factory.pos[1]), [unit.pos for unit_id, unit in game_state.units[self.player].items()])\n",
    "            if factory.power >= heavy_bot_cost.POWER_COST and factory.cargo.metal >= heavy_bot_cost.METAL_COST and not center_occupied:\n",
    "                actions[unit_id] = factory.build_heavy()\n",
    "        \n",
    "        # light bots\n",
    "        if game_state.real_env_steps > 1:\n",
    "            center_occupied = any((factory.pos[0], factory.pos[1]) == (unit.pos[0], unit.pos[1]) for unit_id, unit in game_state.units[self.player].items())\n",
    "            #print(center_occupied, (factory.pos[0], factory.pos[1]), [unit.pos for unit_id, unit in game_state.units[self.player].items()])\n",
    "            for unit_id, factory in factories.items():\n",
    "                if factory.power >= light_bot_cost.POWER_COST and factory.cargo.metal >= light_bot_cost.METAL_COST and not center_occupied:\n",
    "                    actions[unit_id] = factory.build_light()\n",
    "\n",
    "\n",
    "        # Watering lichen if at right turn\n",
    "        growth_turn = 990 - 250 # calculations suggenst 77 turns prior\n",
    "        turns_left = 988 - game_state.real_env_steps\n",
    "        grow = game_state.real_env_steps >= growth_turn\n",
    "        for factory_id, factory in factories.items():\n",
    "            water_cost_reactor = turns_left\n",
    "            water_per_turn = 3.2\n",
    "            \n",
    "            base_water_cost = (factory.cargo.water - water_cost_reactor + (water_per_turn * turns_left))\n",
    "            water_cost_threshold = (factory.water_cost(game_state) * turns_left)\n",
    "            water_formula = base_water_cost > water_cost_threshold and factory.cargo.water > factory.water_cost(game_state)\n",
    "\n",
    "            # UNCOMMENT FOR TESTING OF LICHEN GROWTH\n",
    "            '''\n",
    "            if factory_id == 'factory_0' or factory_id == 'factory_1':\n",
    "                water_gathered = factory.cargo.water - 150 + game_state.real_env_steps\n",
    "                factory_lichen = 0\n",
    "                lichen_strain_tiles = np.argwhere(game_state.board.lichen_strains == factory.strain_id)\n",
    "                for tile in lichen_strain_tiles:\n",
    "                    factory_lichen += game_state.board.lichen[tile[0]][tile[1]]\n",
    "\n",
    "                print(str(factory.power) + \",\" +  str(water_gathered) + ',' + str(factory.cargo.water) + \",\" + str(factory.water_cost(game_state)) + ',' + str(factory_lichen))\n",
    "\n",
    "            if(factory.can_water(game_state) and factory.power < 2000 and factory.cargo.water > 150):\n",
    "                actions[factory_id] = factory.water()\n",
    "            '''\n",
    "\n",
    "            factory_power_formula = factory.can_water(game_state) and factory.power < 1500 and factory.cargo.water > 20 and factory.water_cost(game_state) < 3 and (game_state.real_env_steps >= 12)\n",
    "            if (game_state.real_env_steps >= growth_turn and water_formula) or (factory_power_formula):\n",
    "                actions[factory_id] = factory.water()\n",
    "\n",
    "        ### Finds all ice and ore tiles\n",
    "        ice_map = game_state.board.ice \n",
    "        ore_map = game_state.board.ore \n",
    "        rubble_map = game_state.board.rubble\n",
    "        ice_tile_locations = np.argwhere(ice_map == 1) # numpy magic to get the position of every ice tile\n",
    "        ore_tile_locations = np.argwhere(ore_map == 1) # numpy magic to get the position of every ore tile\n",
    "        rubble_tile_locations = np.argwhere(rubble_map > 0) # numpy magic to get the position of every rubble tile\n",
    "        rubble_tile_locations_low_rubble = np.argwhere(rubble_map <= 20)\n",
    "\n",
    "        # sets hostile rubble mask\n",
    "        hostile_rubble_mask = np.zeros((48, 48))\n",
    "        hostile_factory_rubble = np.concatenate([\n",
    "            get_surrounding_tiles_by_interval(\n",
    "                x=hostile_factory_center[0],\n",
    "                y=hostile_factory_center[1],\n",
    "                interval_x=6,\n",
    "                interval_y=6\n",
    "            ) for hostile_factory_center in hostile_factory_centers\n",
    "        ], axis=0)\n",
    "        \n",
    "        for tile in hostile_factory_rubble:\n",
    "            hostile_rubble_mask[tile[0]][tile[1]] = 1\n",
    "\n",
    "\n",
    "        units = game_state.units[self.player]\n",
    "\n",
    "\n",
    "        ### Specifies assignments for heavy and light bots\n",
    "        light_ice_supporters = len(factories)\n",
    "        ice_support_assignments = 0\n",
    "        rubble_assignments = 0\n",
    "        power_assignments = 0\n",
    "\n",
    "        # action priority values\n",
    "        overwatch_priority = 6\n",
    "        pickup_priority = 5\n",
    "        transfer_priority = 4\n",
    "        dig_priority = 3\n",
    "        move_priority = 2\n",
    "        recharge_priority = 1\n",
    "\n",
    "        # booked tiles for avoiding \n",
    "        move_bookings = {}\n",
    "\n",
    "\n",
    "        for unit_id, unit in units.items():\n",
    "            # sets factory that built unit as home factory\n",
    "            if unit_id not in self.home_factory:\n",
    "                self.home_factory[unit_id] = get_closest_factory_tile(\n",
    "                    unit_x=unit.pos[0],\n",
    "                    unit_y=unit.pos[1],\n",
    "                    factories=factories\n",
    "                )\n",
    "\n",
    "            # info about closest map tiles\n",
    "            closest_factory_tile = sorted(factory_tiles, key=lambda p: (p[0] - unit.pos[0])**2 + (p[1] - unit.pos[1])**2 )[0]\n",
    "            closest_hostile_factory_tile = sorted(hostile_factory_tiles, key=lambda p: abs(p[0] - unit.pos[0]) + abs(p[1] - unit.pos[1]) )[0]\n",
    "            closest_ice_tile = sorted(ice_tile_locations, key=lambda p: (p[0] - self.home_factory[unit_id][0][0])**2 + (p[1] - self.home_factory[unit_id][0][1])**2 )[0]\n",
    "            \n",
    "            cargo_limit_ice = 960\n",
    "            on_factory = all(unit.pos == closest_factory_tile)\n",
    "            ajacent_factory = 1 >= (abs(unit.pos[0] - closest_factory_tile[0]) + abs(unit.pos[1] - closest_factory_tile[1]))\n",
    "            ajacent_hostile_factory = 1 >= (abs(unit.pos[0] - closest_hostile_factory_tile[0]) + abs(unit.pos[1] - closest_hostile_factory_tile[1]))\n",
    "            \n",
    "            \n",
    "\n",
    "            # relevant info for light and heavy bots\n",
    "            home_factory_tile = self.home_factory[unit_id][0]\n",
    "            isHeavy = unit.unit_type == 'HEAVY'\n",
    "            isLight = unit.unit_type == 'LIGHT'\n",
    "\n",
    "\n",
    "             \n",
    "\n",
    "        \n",
    "            ### Heavy bot logic\n",
    "            if isHeavy:\n",
    "                # sets new home factory if original died\n",
    "                if len([(factory_id, factory) for factory_id, factory in factories.items() if all(self.home_factory[unit_id][0] == factory.pos)]) == 0:\n",
    "                    self.home_factory[unit_id] = get_closest_factory_tile(\n",
    "                        unit_x=unit.pos[0],\n",
    "                        unit_y=unit.pos[1],\n",
    "                        factories=factories\n",
    "                    )\n",
    "\n",
    "                # info about unit's home factory power and resources\n",
    "                home_factory = [(factory_id, factory) for factory_id, factory in factories.items() if all(self.home_factory[unit_id][0] == factory.pos)]\n",
    "\n",
    "                #print('heavy', unit_id, unit.pos, unit.power)\n",
    "                below_power_threshold_heavy = unit.power <= 100\n",
    "                below_power_move_heavy = unit.power <= 50\n",
    "                free_cargo_ice = unit.cargo.ice < cargo_limit_ice\n",
    "                recharge_need_heavy = math.floor(3000 - unit.power)\n",
    "                on_ice = all(unit.pos == closest_ice_tile)\n",
    "\n",
    "                # condition for when heavy is set to clear rubble\n",
    "                on_rubble_clearing = (home_factory[0][1].cargo.water) > 500 and 0 != sum(\n",
    "                    [game_state.board.rubble[tile[0]][tile[1]] for tile in get_surrounding_tiles_by_interval(\n",
    "                        x=home_factory[0][1].pos[0], \n",
    "                        y=home_factory[0][1].pos[1], \n",
    "                        interval_x=2,\n",
    "                        interval_y=2\n",
    "                    ) if game_state.board.ore[tile[0]][tile[1]] != 1]\n",
    "                ) and (\n",
    "                    unit.power > below_power_threshold_heavy\n",
    "                )\n",
    "                #print(on_rubble_clearing, home_factory[0][0], home_factory[0][1].pos, home_factory[0][1].power, home_factory[0][1].cargo.water)\n",
    "                if on_rubble_clearing:\n",
    "                    closest_rubble_tiles = sorted(rubble_tile_locations, key=lambda p: abs(p[0] - unit.pos[0]) + abs(p[1] - unit.pos[1]))\n",
    "                    closest_rubble_tile = closest_rubble_tiles[0]\n",
    "                    on_rubble = all(unit.pos == closest_rubble_tile)\n",
    "                    factory_rubble_tiles = [coord for coord in get_surrounding_tiles_by_interval(\n",
    "                        x=home_factory[0][1].pos[0],\n",
    "                        y=home_factory[0][1].pos[1],\n",
    "                        interval_x=2,\n",
    "                        interval_y=2\n",
    "                    )]\n",
    "\n",
    "                    closest_factory_rubble_tile = sorted([tile for tile in factory_rubble_tiles if \n",
    "                        (game_state.board.rubble[tile[0]][tile[1]] != 0) and \n",
    "                        (game_state.board.ore[tile[0]][tile[1]] != 1)\n",
    "                    ], key=lambda p: (game_state.board.rubble[p[0]][p[1]]))[0]\n",
    "                    #print(unit_id, closest_factory_rubble_tile)\n",
    "\n",
    "\n",
    "                # has hostile HEAVY on flank, moves to attack, or to factory tile if not already on one\n",
    "                overwatch_check = heavy_overwatch(\n",
    "                    unit=unit,\n",
    "                    on_factory=on_factory,\n",
    "                    closest_factory_tile=closest_factory_tile,\n",
    "                    game_state=game_state,\n",
    "                    opponent=self.opp_player\n",
    "                )\n",
    "                if overwatch_check != False:\n",
    "                    #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check)] = [unit_id]\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.move(overwatch_check, repeat=0)]\n",
    "                    continue\n",
    "\n",
    "                ### Clearing factory rubble\n",
    "                # on rubble clearing, on rubble, not below power limit. Dig rubble\n",
    "                elif on_rubble_clearing and on_rubble and not below_power_threshold_heavy:\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = dig_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.dig(repeat=0)]\n",
    "                    #print(unit_id, \"clearing factory rubble\")\n",
    "                    continue\n",
    "\n",
    "                # on rubble clearing, not on rubble, not below power limit. Move to factory rubble\n",
    "                elif on_rubble_clearing and not on_rubble and not below_power_threshold_heavy:\n",
    "                    direction = direction_to(unit.pos, closest_factory_rubble_tile)\n",
    "                    #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=direction)] = move_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.move(direction, repeat=0)]\n",
    "                    #print(unit_id, \"moving to factory rubble\")\n",
    "                    continue\n",
    "\n",
    "                ### Collecting ice\n",
    "                # on ice, but not over cargo capacity limit. Dig ice\n",
    "                elif not on_rubble_clearing and on_ice and free_cargo_ice and not below_power_threshold_heavy:\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = dig_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.dig(repeat=0)]\n",
    "                    #print(unit_id, \"digging\")\n",
    "                    continue\n",
    "                \n",
    "                # not on ice, not over cargo capacity limit. Move to ice\n",
    "                elif not on_rubble_clearing and not on_ice and free_cargo_ice and not below_power_threshold_heavy:\n",
    "                    direction = direction_to(unit.pos, closest_ice_tile)\n",
    "                    #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=direction)] = move_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.move(direction, repeat=0)]\n",
    "                    #print(unit_id, \"move dig\")\n",
    "                    continue\n",
    "                \n",
    "                # on factory, below power threshold. Pickup power\n",
    "                elif not on_rubble_clearing and on_factory and below_power_threshold_heavy:\n",
    "                    direction = direction_to(unit.pos, closest_factory_tile)\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = pickup_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.pickup(4, recharge_need_heavy, repeat=0)]\n",
    "                    #print(unit_id, \"pickup power\")\n",
    "                    continue\n",
    "                \n",
    "                # not on factory, below power threshold. Move to recharge\n",
    "                elif not on_rubble_clearing and not on_factory and (below_power_threshold_heavy and not below_power_move_heavy):\n",
    "                    direction = direction_to(unit.pos, closest_factory_tile)\n",
    "                    newDirection = check_tile_occupation(\n",
    "                        game_state=game_state,\n",
    "                        unit_x=unit.pos[0],\n",
    "                        unit_y=unit.pos[1],\n",
    "                        direction=direction,\n",
    "                        booked_coords=move_bookings,\n",
    "                        player=self.player,\n",
    "                        opponent=self.opp_player\n",
    "                    )\n",
    "                    if newDirection != direction:\n",
    "                        #move_bookings[(unit.pos[0], unit.pos[1])] = recharge_priority\n",
    "                        num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                        print(len(move_bookings))\n",
    "                        #print(unit_id, \"move recharge, wait\")\n",
    "                        continue\n",
    "\n",
    "                    elif newDirection == direction:\n",
    "                        #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=direction)] = move_priority\n",
    "                        num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                        print(len(move_bookings))\n",
    "                        actions[unit_id] = [unit.move(direction, repeat=0)]\n",
    "                        #print(unit_id, \"move recharge\")\n",
    "                        continue\n",
    "\n",
    "                # ajacent to factory, over cargo limit. Transfer ice\n",
    "                elif not on_rubble_clearing and ajacent_factory and not free_cargo_ice and not below_power_threshold_heavy:\n",
    "                    direction = direction_to(unit.pos, closest_factory_tile)\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = transfer_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.transfer(direction, 0, unit.cargo.ice, repeat=0)]\n",
    "                    #print(unit_id, \"transfer\")\n",
    "                    continue\n",
    "\n",
    "                # not ajacent to factory. Move to transfer\n",
    "                elif not on_rubble_clearing and not ajacent_factory and not free_cargo_ice and not below_power_threshold_heavy:\n",
    "                    direction = direction_to(unit.pos, closest_factory_tile)\n",
    "                    #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=direction)] = move_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.move(direction, repeat=0)]\n",
    "                    #print(unit_id, \"move transfer\")\n",
    "                    continue\n",
    "                \n",
    "                # not on factory, below critical power. Do nothing (recharge)\n",
    "                elif not on_factory and (below_power_threshold_heavy and below_power_move_heavy):\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = recharge_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    #print(unit_id, \"doing nothing (recharging)\")\n",
    "                    continue\n",
    "\n",
    "\n",
    "            ### Light bot logic\n",
    "            if isLight:\n",
    "                # sets new home factory if original died\n",
    "                if len([(factory_id, factory) for factory_id, factory in factories.items() if all(self.home_factory[unit_id][0] == factory.pos)]) == 0:\n",
    "                    self.home_factory[unit_id] = get_closest_factory_tile(\n",
    "                        unit_x=unit.pos[0],\n",
    "                        unit_y=unit.pos[1],\n",
    "                        factories=factories\n",
    "                    )\n",
    "\n",
    "                # info about unit's home factory power and resources\n",
    "                home_factory = [(factory_id, factory) for factory_id, factory in factories.items() if all(self.home_factory[unit_id][0] == (factory.pos[0], factory.pos[1]))]\n",
    "                free_power = (home_factory[0][1].power - (power_assignments * 150)) > 500\n",
    "\n",
    "                # sorts low rubble tiles by proximity to closest factory tile to unit\n",
    "                sorted_rubble_tile_vision = sorted(\n",
    "                    [\n",
    "                        tile for tile in rubble_tile_locations_low_rubble if \n",
    "                        (hostile_rubble_mask[tile[0]][tile[1]] != 1) and\n",
    "                        (game_state.board.rubble[tile[0]][tile[1]] != 0) and\n",
    "                        (game_state.board.ice[tile[0]][tile[1]] != 1) and \n",
    "                        (game_state.board.ore[tile[0]][tile[1]] != 1)\n",
    "                    ], \n",
    "                    key=lambda coord: (coord[0] - closest_factory_tile[0])**2 + (coord[1] - closest_factory_tile[1])**2\n",
    "                )\n",
    "                lowest_rubble__tile_visible = sorted_rubble_tile_vision[0]\n",
    "                \n",
    "\n",
    "                closest_ore_tiles = sorted(ore_tile_locations, key=lambda p: abs(p[0] - self.home_factory[unit_id][0][0]) + abs(p[1] - self.home_factory[unit_id][0][1]))\n",
    "                closest_ice_tiles = sorted(ice_tile_locations, key=lambda p: (p[0] - self.home_factory[unit_id][0][0])**2 + (p[1] - self.home_factory[unit_id][0][1])**2 )\n",
    "                closest_rubble_tiles = sorted(rubble_tile_locations, key=lambda p: abs(p[0] - unit.pos[0]) + abs(p[1] - unit.pos[1]))\n",
    "                closest_ore_tile = closest_ore_tiles[0]\n",
    "                closest_ice_tile = closest_ice_tiles[0]\n",
    "                closest_rubble_tile = closest_rubble_tiles[0]\n",
    "                assistance_ice_tile = sorted(factory_tiles, key=lambda p: (p[0] - closest_ice_tile[0])**2 + (p[1] - closest_ice_tile[1])**2 )[0]\n",
    "                \n",
    "\n",
    "                \n",
    "                # decides if the bot should be assigned to assist its heavy bot in ice collection\n",
    "                on_ice_assistance = ice_support_assignments < light_ice_supporters\n",
    "                if on_ice_assistance:\n",
    "                    ice_support_assignments += 1\n",
    "\n",
    "                charge_state = game_state.is_day() and unit.power < 150 and not on_factory and not self.home_factory[unit_id][1].power < 500\n",
    "                power_treshold_light = 30\n",
    "                below_power_threshold_light = unit.power <= power_treshold_light\n",
    "                above_power_threshold_light = not below_power_threshold_light\n",
    "                above_assistance_power = unit.power >= 120\n",
    "                ajacent_ice = (abs(unit.pos[0] - closest_ice_tile[0]) + abs(unit.pos[1] - closest_ice_tile[1])) <= 1\n",
    "                on_ore = all(unit.pos == closest_ore_tile)\n",
    "                on_rubble = all(unit.pos == closest_rubble_tile)\n",
    "                free_cargo_ore = unit.cargo.ore < 50\n",
    "\n",
    "                ### performs overwatch check to see if HEAVY bots on flanks\n",
    "                overwatch_check = light_overwatch(\n",
    "                    unit=unit,\n",
    "                    on_factory=on_factory, \n",
    "                    on_ice_assistance=on_ice_assistance, \n",
    "                    home_factory=self.home_factory[unit_id][0], \n",
    "                    booked_coords=move_bookings, \n",
    "                    overwatch_priority=overwatch_priority,\n",
    "                    game_state=game_state, \n",
    "                    player=self.player, \n",
    "                    opponent=self.opp_player\n",
    "                )\n",
    "                if overwatch_check != False:\n",
    "                    #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check)] = overwatch_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.move(overwatch_check, repeat=0)]\n",
    "                    #print(game_state.real_env_steps, unit_id, unit.pos, 'moving to', coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), 'overwatch triggered')\n",
    "                    continue\n",
    "        \n",
    "\n",
    "\n",
    "\n",
    "                ### On ice assistance duty\n",
    "                # Light bot should move onto home factory tile if not on a factory tile.\n",
    "                if on_ice_assistance and not on_factory and above_power_threshold_light:\n",
    "                    direction = direction_to(unit.pos, assistance_ice_tile)\n",
    "                    newDirection = check_tile_occupation(\n",
    "                        game_state=game_state,\n",
    "                        unit_x=unit.pos[0],\n",
    "                        unit_y=unit.pos[1],\n",
    "                        direction=direction,\n",
    "                        booked_coords=move_bookings,\n",
    "                        player=self.player,\n",
    "                        opponent=self.opp_player\n",
    "                    )\n",
    "                    #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=newDirection)] = move_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.move(direction=newDirection, repeat=0)]\n",
    "                    #print(game_state.real_env_steps, unit_id, unit.pos, 'moving to assistance tile')\n",
    "                    continue\n",
    "\n",
    "                # Light bot should move towards ice tile until it is ajacent to it while being on a factory tile \n",
    "                elif on_ice_assistance and on_factory and not ajacent_ice and above_assistance_power:\n",
    "                    direction = direction_to(unit.pos, assistance_ice_tile)\n",
    "                    target_coord = coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=direction)\n",
    "                    move_occupied = any(target_coord == (unit.pos[0], unit.pos[1]) for unit_id, unit in units.items())\n",
    "                    # if factory tile occupied, wait\n",
    "                    if move_occupied:\n",
    "                        #move_bookings[(unit.pos[0], unit.pos[1])] = recharge_priority\n",
    "                        num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                        print(len(move_bookings))\n",
    "                        continue\n",
    "                    \n",
    "                    # else move towards goal\n",
    "                    elif not move_occupied:\n",
    "                        #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=direction)] = move_priority\n",
    "                        num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                        print(len(move_bookings))\n",
    "                        actions[unit_id] = [unit.move(direction=direction, repeat=0)]\n",
    "                        #print(game_state.real_env_steps, unit_id, unit.pos, 'moving from factory tile to assistance tile')\n",
    "                        continue\n",
    "\n",
    "\n",
    "                # If on factory tile, ajacent to ice, and has transferrable power. Look up heavy bot on ice tile, get its demand, and transfer power\n",
    "                elif on_ice_assistance and on_factory and ajacent_ice and above_assistance_power: \n",
    "                    direction = direction_to(unit.pos, closest_ice_tile)\n",
    "                    target_coord = coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=direction)\n",
    "                    target_bot = [unit for unit_id, unit in units.items() if (unit.pos[0], unit.pos[1]) == target_coord]\n",
    "\n",
    "                    # lookup ajacent ice heavy bot power demand, transfer demand or available supply to heavy on ice\n",
    "                    if len(target_bot) > 0:\n",
    "                        transfer_supply = unit.power - 3\n",
    "                        transfer_demand = 400 - target_bot[0].power\n",
    "                        transfer_amount = transfer_demand -3 if (0 < transfer_demand <= transfer_supply) else transfer_supply\n",
    "                        #move_bookings[(unit.pos[0], unit.pos[1])] = transfer_priority\n",
    "                        num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                        print(len(move_bookings))\n",
    "                        actions[unit_id] = [unit.transfer(direction, 4, transfer_amount)]\n",
    "                        #print(game_state.real_env_steps, unit_id, unit.pos, 'transferring power')\n",
    "                        continue\n",
    "\n",
    "                    # transfer nothing if there is no heavy bot on that tile\n",
    "                    elif len(target_bot) == 0: \n",
    "                        #move_bookings[(unit.pos[0], unit.pos[1])] = transfer_priority\n",
    "                        num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                        print(len(move_bookings))\n",
    "                        #print(game_state.real_env_steps, unit_id, unit.pos, 'did not transfer power')\n",
    "                        continue\n",
    "\n",
    "\n",
    "                # If on facotry tile, ajacent to ice, and has not transferrable power. Pickup power so it gets to max power.\n",
    "                elif on_ice_assistance and on_factory and not above_assistance_power:\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = pickup_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.pickup(4, 150 - unit.power, repeat=0)]\n",
    "                    #print(game_state.real_env_steps, unit_id, unit.pos, 'pickup power')\n",
    "                    continue\n",
    "\n",
    "                # if bot is lost and not above power threshold, do nothing (recharge)\n",
    "                elif on_ice_assistance and not on_factory and not above_power_threshold_light:\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = recharge_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    #print(game_state.real_env_steps, unit_id, unit.pos, 'do nothing')\n",
    "                    continue\n",
    "                \n",
    "\n",
    "\n",
    "\n",
    "                ### Rubble clearing duty\n",
    "                # on rubble, under cargo limit, not below power threshold, not charge state. Dig rubble\n",
    "                if on_rubble and free_cargo_ore and not below_power_threshold_light and not charge_state:\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = dig_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.dig(repeat=0)]\n",
    "                    #print(unit_id, \"dig rubble\")\n",
    "\n",
    "\n",
    "                # not on ore, not on rubble, under cargo limit, not below power threshold, not charge state. Move to rubble\n",
    "                elif not on_rubble and free_cargo_ore and not below_power_threshold_light and not charge_state:\n",
    "                    direction = direction_to(unit.pos, lowest_rubble__tile_visible)\n",
    "                    newDirection = check_tile_occupation(\n",
    "                        game_state=game_state,\n",
    "                        unit_x=unit.pos[0],\n",
    "                        unit_y=unit.pos[1],\n",
    "                        direction=direction,\n",
    "                        booked_coords=move_bookings,\n",
    "                        player=self.player,\n",
    "                        opponent=self.opp_player\n",
    "                    )\n",
    "                    #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=newDirection)] = move_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.move(newDirection, repeat=0)]\n",
    "                    #print(unit_id, \"move to rubble\")\n",
    "               \n",
    "                # below power threshold, not in charge state, on factory tile, nearest factory power > 1500. Pickup power\n",
    "                elif below_power_threshold_light and not charge_state and on_factory and free_power:\n",
    "                    power_assignments += 1\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = pickup_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.pickup(4, 150 - unit.power, repeat=0)]\n",
    "                    #print(unit_id, \"pickup power light\")\n",
    "                \n",
    "                # below power threshold, not in charge state, not on factory tile, nearest factory power > 1500. Pickup power\n",
    "                elif below_power_threshold_light and not charge_state and not on_factory and free_power:\n",
    "                    power_assignments += 1\n",
    "                    direction = direction_to(unit.pos, closest_factory_tile)\n",
    "                    newDirection = check_tile_occupation(\n",
    "                        game_state=game_state,\n",
    "                        unit_x=unit.pos[0],\n",
    "                        unit_y=unit.pos[1],\n",
    "                        direction=direction,\n",
    "                        booked_coords=move_bookings,\n",
    "                        player=self.player,\n",
    "                        opponent=self.opp_player\n",
    "                    )\n",
    "                    #move_bookings[coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=newDirection)] = move_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=coord_from_direction(x=unit.pos[0], y=unit.pos[1], direction=overwatch_check), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    actions[unit_id] = [unit.move(newDirection, repeat=0)]\n",
    "                    #print(unit_id, \"move to factory recharge\")\n",
    "\n",
    "                # below power threshold and in a charge state. Do nothing (recharge)\n",
    "                elif below_power_threshold_light and charge_state:\n",
    "                    #move_bookings[(unit.pos[0], unit.pos[1])] = recharge_priority\n",
    "                    num_booked_on_coord = book_coordinate(unit_id=unit_id, booking_coordinate=(unit.pos[0], unit.pos[1]), move_bookings=move_bookings)\n",
    "                    print(len(move_bookings))\n",
    "                    continue\n",
    "                    #print(unit_id, \"recharge\")\n",
    "        \n",
    "\n",
    "\n",
    "        ### Checks if any double coordinate bookings have been placed, and diverts light bots to avoid double bookings\n",
    "        light_bots = [(unit_id, unit) for unit_id, unit in units.items() if unit.unit_type == 'LIGHT']\n",
    "        units_double_booked = [unit_id for u_ids in move_bookings.values() if len(u_ids) > 1]\n",
    "        print(move_bookings)\n",
    "        #print(game_state.real_env_steps, units_double_booked)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "        # returns the final decided actions\n",
    "        return actions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "hovertemplate": "x: %{x}<br>y: %{y}<br>color: [%{z[0]}, %{z[1]}, %{z[2]}]<extra></extra>",
         "name": "0",
         "source": "data:image/png;base64,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",
         "type": "image",
         "xaxis": "x",
         "yaxis": "y"
        }
       ],
       "layout": {
        "margin": {
         "t": 60
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "fillpattern": {
             "fillmode": "overlay",
             "size": 10,
             "solidity": 0.2
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "anchor": "y",
         "domain": [
          0,
          1
         ]
        },
        "yaxis": {
         "anchor": "x",
         "domain": [
          0,
          1
         ]
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{}\n",
      "1\n",
      "2\n",
      "{(43, 35): ['unit_4'], (41, 24): ['unit_5']}\n",
      "1\n",
      "2\n",
      "{(43, 36): ['unit_4'], (42, 24): ['unit_5']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(43, 37): ['unit_4'], (42, 23): ['unit_5'], (43, 35): ['unit_10'], (41, 24): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (43, 35): ['unit_10'], (41, 24): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (43, 36): ['unit_10'], (41, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 35): ['unit_18'], (41, 24): ['unit_19']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 36): ['unit_18'], (41, 23): ['unit_19']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 35): ['unit_22'], (41, 24): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 36): ['unit_22'], (41, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 35): ['unit_22'], (40, 23): ['unit_23'], (41, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 36): ['unit_22'], (41, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 35): ['unit_22'], (40, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 36): ['unit_22'], (41, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 35): ['unit_22'], (40, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 36): ['unit_22'], (39, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 36): ['unit_22'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 37): ['unit_22'], (40, 22): ['unit_23'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (41, 22): ['unit_19'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 36): ['unit_18'], (41, 22): ['unit_19'], (42, 37): ['unit_22'], (40, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18'], (42, 22): ['unit_19'], (42, 37): ['unit_22'], (39, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18'], (42, 22): ['unit_19'], (42, 37): ['unit_22'], (39, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18'], (42, 22): ['unit_19'], (41, 37): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18'], (42, 22): ['unit_19'], (41, 37): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 36): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 36): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 38): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 22): ['unit_19'], (41, 36): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 22): ['unit_19'], (41, 36): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 22): ['unit_19'], (41, 36): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 22): ['unit_19'], (41, 36): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (38, 23): ['unit_23'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 37): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 36): ['unit_18'], (42, 22): ['unit_19'], (41, 36): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 36): ['unit_18'], (42, 22): ['unit_19'], (41, 37): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 37): ['unit_18'], (42, 22): ['unit_19'], (41, 37): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 36): ['unit_18'], (42, 22): ['unit_19'], (41, 37): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 37): ['unit_18'], (43, 22): ['unit_19'], (41, 37): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 36): ['unit_18'], (43, 22): ['unit_19'], (41, 37): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 37): ['unit_18'], (41, 37): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 36): ['unit_18'], (41, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (42, 37): ['unit_18'], (41, 35): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 37): ['unit_18'], (42, 35): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 37): ['unit_18'], (42, 35): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 37): ['unit_18'], (41, 35): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (41, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (41, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (41, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (41, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (41, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (41, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (41, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (41, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (38, 23): ['unit_23'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "9\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (43, 22): ['unit_19'], (41, 33): ['unit_22'], (38, 23): ['unit_23'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 37): ['unit_18'], (43, 22): ['unit_19'], (41, 33): ['unit_22'], (38, 23): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 36): ['unit_18'], (43, 22): ['unit_19'], (41, 34): ['unit_22'], (38, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 35): ['unit_18'], (43, 22): ['unit_19'], (40, 34): ['unit_22'], (38, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 36): ['unit_18'], (43, 22): ['unit_19'], (40, 34): ['unit_22'], (38, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (40, 35): ['unit_18'], (40, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 35): ['unit_18'], (40, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 34): ['unit_18'], (40, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 35): ['unit_18'], (40, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 34): ['unit_18'], (40, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 33): ['unit_18'], (40, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 34): ['unit_18'], (40, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 33): ['unit_18'], (40, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 34): ['unit_18'], (40, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 33): ['unit_18'], (40, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 34): ['unit_18'], (40, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 33): ['unit_18'], (40, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 32): ['unit_18'], (40, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 32): ['unit_18'], (40, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (41, 32): ['unit_18'], (40, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (41, 33): ['unit_22'], (38, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (41, 33): ['unit_22'], (38, 22): ['unit_23']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (41, 33): ['unit_22'], (39, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (41, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (43, 22): ['unit_19']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_10'], (42, 23): ['unit_11'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 36): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_11'], (41, 32): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(45, 36): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_11'], (40, 32): ['unit_18'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(45, 36): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_11'], (40, 33): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(45, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_11'], (40, 32): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(43, 24): ['unit_5'], (42, 23): ['unit_11'], (40, 33): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(43, 24): ['unit_5'], (42, 23): ['unit_11'], (40, 34): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(43, 25): ['unit_5'], (42, 23): ['unit_11'], (41, 34): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(45, 37): ['unit_4'], (42, 23): ['unit_11'], (42, 34): ['unit_18'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "{(42, 23): ['unit_11'], (42, 34): ['unit_18']}\n",
      "1\n",
      "2\n",
      "{(42, 23): ['unit_11'], (42, 35): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(45, 36): ['unit_4'], (43, 25): ['unit_5'], (42, 23): ['unit_11'], (43, 35): ['unit_18']}\n",
      "1\n",
      "2\n",
      "{(42, 23): ['unit_11'], (43, 36): ['unit_18']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(45, 35): ['unit_4'], (43, 26): ['unit_5'], (42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(45, 35): ['unit_4'], (43, 26): ['unit_5'], (42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "{(42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(45, 35): ['unit_4'], (43, 26): ['unit_5'], (42, 23): ['unit_11'], (44, 36): ['unit_18'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(42, 23): ['unit_11'], (44, 36): ['unit_18'], (43, 22): ['unit_19'], (41, 33): ['unit_22'], (38, 22): ['unit_23'], (40, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(42, 26): ['unit_5'], (42, 23): ['unit_11'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (40, 33): ['unit_22'], (38, 22): ['unit_23'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(42, 25): ['unit_5'], (42, 23): ['unit_11'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (40, 33): ['unit_22'], (38, 22): ['unit_23'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(42, 25): ['unit_5'], (42, 23): ['unit_11'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (40, 32): ['unit_22'], (38, 22): ['unit_23'], (40, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "{(42, 24): ['unit_5'], (42, 23): ['unit_11'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (40, 32): ['unit_22'], (38, 22): ['unit_23'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(42, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (40, 32): ['unit_22'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (40, 32): ['unit_22'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (40, 33): ['unit_22'], (40, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (41, 33): ['unit_22'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (41, 34): ['unit_22'], (39, 21): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (42, 34): ['unit_22'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (42, 34): ['unit_22'], (38, 22): ['unit_23'], (40, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (42, 33): ['unit_22'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (42, 32): ['unit_22'], (39, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (41, 32): ['unit_22'], (38, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (41, 32): ['unit_22'], (38, 22): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (41, 32): ['unit_22'], (38, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (41, 32): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (41, 32): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (41, 32): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(45, 34): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(45, 34): ['unit_4'], (42, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19'], (39, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(45, 34): ['unit_4'], (42, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 21): ['unit_19']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 34): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 22): ['unit_19']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 34): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_18'], (43, 22): ['unit_19']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 35): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_18'], (42, 22): ['unit_19']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 36): ['unit_4'], (43, 23): ['unit_5'], (42, 22): ['unit_19'], (40, 32): ['unit_22'], (40, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (40, 33): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (41, 33): ['unit_22'], (39, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (41, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (42, 34): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (42, 34): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (42, 35): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (43, 35): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (43, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (42, 23): ['unit_19'], (44, 36): ['unit_22']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (42, 23): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (42, 24): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (41, 24): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (41, 25): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (40, 25): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (40, 26): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (40, 26): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (39, 26): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (39, 26): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (40, 26): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (40, 25): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (41, 25): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (41, 24): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (42, 24): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (42, 23): ['unit_5'], (44, 36): ['unit_22'], (38, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (39, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (39, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (40, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (40, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (41, 24): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (41, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "{(44, 37): ['unit_4'], (43, 23): ['unit_5'], (44, 36): ['unit_22'], (42, 23): ['unit_25']}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "OpenCV: FFMPEG: tag 0x30395056/'VP90' is not supported with codec id 167 and format 'webm / WebM'\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<video src=\"WTASChuBXLwSVZoGlK.webm\" controls  >\n",
       "      Your browser does not support the <code>video</code> element.\n",
       "    </video>"
      ],
      "text/plain": [
       "<IPython.core.display.Video object>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# imports from support files with class and functions\n",
    "from Test_agents import submission_8_agent\n",
    "import lux_functions\n",
    "\n",
    "# recreate our agents and run\n",
    "player0 = env.agents[0]\n",
    "player1 = env.agents[1]\n",
    "agents = {\n",
    "    player0: Archimedes_Lever(env.agents[0], env.state.env_cfg), \n",
    "    player1: submission_8_agent.Archimedes_Lever_s(env.agents[1], env.state.env_cfg)\n",
    "    #player1: default_agent.Default_Agent(env.agents[1], env.state.env_cfg)\n",
    "}\n",
    "img = env.render(\"rgb_array\", width=48, height=48)\n",
    "px.imshow(img).show()\n",
    "lux_functions.interact(env=env, agents=agents, steps=1000, video=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[('player_0', 10040), ('player_1', 19134), ('p0 % performance:', 0.5247203930176649), ('p0-p1 lichen difference:', -9094), ('map seed:', 3078600532)]\n",
      "[('player_0', 13194), ('player_1', 22158), ('p0 % performance:', 0.595450852965069), ('p0-p1 lichen difference:', -8964), ('map seed:', 3595863985)]\n",
      "[('player_0', 13050), ('player_1', 18859), ('p0 % performance:', 0.6919773052653905), ('p0-p1 lichen difference:', -5809), ('map seed:', 949106380)]\n",
      "[('player_0', 20070), ('player_1', 28490), ('p0 % performance:', 0.7044577044577045), ('p0-p1 lichen difference:', -8420), ('map seed:', 2517955643)]\n",
      "[('player_0', 26550), ('player_1', 35956), ('p0 % performance:', 0.7384024919345867), ('p0-p1 lichen difference:', -9406), ('map seed:', 2085035197)]\n",
      "[('player_0', 23691), ('player_1', 30113), ('p0 % performance:', 0.7867366253777438), ('p0-p1 lichen difference:', -6422), ('map seed:', 246696707)]\n",
      "[('player_0', 24161), ('player_1', 30606), ('p0 % performance:', 0.7894203750898516), ('p0-p1 lichen difference:', -6445), ('map seed:', 4180258487)]\n",
      "[('player_0', 16663), ('player_1', 21092), ('p0 % performance:', 0.7900151716290537), ('p0-p1 lichen difference:', -4429), ('map seed:', 2066103822)]\n",
      "[('player_0', 21235), ('player_1', 26254), ('p0 % performance:', 0.8088291307991163), ('p0-p1 lichen difference:', -5019), ('map seed:', 1773114743)]\n",
      "[('player_0', 21633), ('player_1', 26648), ('p0 % performance:', 0.8118057640348244), ('p0-p1 lichen difference:', -5015), ('map seed:', 1560009298)]\n",
      "[('player_0', 24128), ('player_1', 25678), ('p0 % performance:', 0.9396370433834411), ('p0-p1 lichen difference:', -1550), ('map seed:', 2263821284)]\n",
      "[('player_0', 19618), ('player_1', 20095), ('p0 % performance:', 0.9762627519283403), ('p0-p1 lichen difference:', -477), ('map seed:', 1662815037)]\n",
      "[('player_0', 28267), ('player_1', 27917), ('p0 % performance:', 1.0125371637353584), ('p0-p1 lichen difference:', 350), ('map seed:', 2225427684)]\n",
      "[('player_0', 9387), ('player_1', 9202), ('p0 % performance:', 1.0201043251467072), ('p0-p1 lichen difference:', 185), ('map seed:', 99581824)]\n",
      "[('player_0', 16962), ('player_1', 15620), ('p0 % performance:', 1.0859154929577466), ('p0-p1 lichen difference:', 1342), ('map seed:', 351313360)]\n",
      "[('player_0', 28965), ('player_1', 25519), ('p0 % performance:', 1.1350366393667464), ('p0-p1 lichen difference:', 3446), ('map seed:', 883595066)]\n",
      "[('player_0', 32716), ('player_1', 26343), ('p0 % performance:', 1.2419238507383366), ('p0-p1 lichen difference:', 6373), ('map seed:', 98342771)]\n",
      "[('player_0', 33578), ('player_1', 24984), ('p0 % performance:', 1.3439801472942683), ('p0-p1 lichen difference:', 8594), ('map seed:', 3644635721)]\n",
      "[('player_0', 56379), ('player_1', 31569), ('p0 % performance:', 1.7858975577306853), ('p0-p1 lichen difference:', 24810), ('map seed:', 1399411865)]\n",
      "[('player_0', 31788), ('player_1', 12589), ('p0 % performance:', 2.5250615616808325), ('p0-p1 lichen difference:', 19199), ('map seed:', 1051401156)]\n"
     ]
    }
   ],
   "source": [
    "### AGENT TESTING\n",
    "from Test_agents import submission_8_agent\n",
    "import default_agent\n",
    "import lux_functions\n",
    "\n",
    "tests = 20\n",
    "results = []\n",
    "for t in range(tests):\n",
    "    test_env = LuxAI_S2() # create the environment object\n",
    "    test_obs = test_env.reset(seed=np.random.seed()) # resets an environment with a seed\n",
    "\n",
    "    # recreate our agents and run\n",
    "    player0 = test_env.agents[0]\n",
    "    player1 = test_env.agents[1]\n",
    "    agents = {\n",
    "        player0: Archimedes_Lever(test_env.agents[0], test_env.state.env_cfg), \n",
    "        player1: submission_8_agent.Archimedes_Lever_s(test_env.agents[1], test_env.state.env_cfg)\n",
    "        #player1: default_agent.Default_Agent(test_env.agents[1], test_env.state.env_cfg)\n",
    "    }\n",
    "    # UNCOMMENT IF MAPS SHOULD BE VISUALIZED\n",
    "    '''\n",
    "    img = test_env.render(\"rgb_array\", width=48, height=48)\n",
    "    px.imshow(img).show()\n",
    "    '''\n",
    "    test_results = lux_functions.test_agents(env=test_env, agents=agents, steps=1000)\n",
    "    results.append(test_results)\n",
    "    del test_env\n",
    "    del test_obs\n",
    "\n",
    "# displays tests results sorted by performance difference\n",
    "for result in sorted(results, key=lambda test: test[2][1]):\n",
    "    print(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# map viewer for analysis of poor performance tests\n",
    "view_seed = 4114348658\n",
    "view_env = LuxAI_S2()\n",
    "view_obs = view_env.reset(seed=view_seed)\n",
    "view_image = view_env.render(\"rgb_array\", width=48, height=48)\n",
    "px.imshow(view_image).show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#!luxai-s2 archimedes_main.py main.py -v 2 -s 101 -o replay.html\n",
    "#!tar -czf submission.tar.gz *"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.10.0 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.0"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "aee8b7b246df8f9039afb4144a1f6fd8d2ca17a180786b69acc140d282b71a49"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}