diff --git "a/scenes/nightrider/train/nightrider1_train_linear_32_config.json" "b/scenes/nightrider/train/nightrider1_train_linear_32_config.json"
new file mode 100644--- /dev/null
+++ "b/scenes/nightrider/train/nightrider1_train_linear_32_config.json"
@@ -0,0 +1,13568 @@
+{
+  "base_scene_path": "assets/scene.blend",
+  "material_directory": "assets/materials",
+  "mesh_directory": "assets/shapes",
+  "colors_path": "assets/colors.json",
+  "sizes_path": "assets/sizes.json",
+  "write_blendfile": false,
+  "blendfile_path": "output/blendfiles",
+  "max_number_of_tries": 100,
+  "force_generation": true,
+  "scene_config_directory": "output/scenes",
+  "video_directory": "output/videos",
+  "scene_index": 32,
+  "scene_index_offset": 0,
+  "seed": 1050016417,
+  "fps": 32,
+  "duration": 5.0,
+  "number_of_videos": 64,
+  "split": "nightrider1_train_linear",
+  "min_x": -5.0,
+  "max_x": 5.0,
+  "min_y": -5.0,
+  "max_y": 5.0,
+  "relationship_threshold": 0.5,
+  "minimum_distance": 1.5,
+  "device": "CUDA",
+  "resolution_width": 1920,
+  "resolution_height": 1080,
+  "number_of_samples": 4,
+  "min_number_of_bounces": 8,
+  "max_number_of_bounces": 8,
+  "cyclic_lights": true,
+  "key_light_jitter": 1.0,
+  "fill_light_jitter": 1.0,
+  "back_light_jitter": 1.0,
+  "camera_jitter": 0.5,
+  "min_number_of_clutter_objects": 2,
+  "max_number_of_clutter_objects": 3,
+  "number_of_clutter_objects": 3,
+  "min_number_of_orbit_cycles": 0,
+  "max_number_of_orbit_cycles": 0,
+  "number_of_orbit_cycles": 0,
+  "min_number_of_rotate_cycles": 0,
+  "max_number_of_rotate_cycles": 0,
+  "number_of_rotate_cycles": 0,
+  "min_number_of_resize_cycles": 0,
+  "max_number_of_resize_cycles": 0,
+  "number_of_resize_cycles": 0,
+  "min_number_of_linear_cycles": 0,
+  "max_number_of_linear_cycles": 0,
+  "number_of_linear_cycles": 1,
+  "min_number_of_recolor_cycles": 0,
+  "max_number_of_recolor_cycles": 0,
+  "number_of_recolor_cycles": 0,
+  "min_number_of_prime_factors": 5,
+  "max_number_of_prime_factors": 6,
+  "colors": {
+    "gray": [
+      0.3411764705882353,
+      0.3411764705882353,
+      0.3411764705882353,
+      1.0
+    ],
+    "red": [
+      0.6784313725490196,
+      0.13725490196078433,
+      0.13725490196078433,
+      1.0
+    ],
+    "blue": [
+      0.16470588235294117,
+      0.29411764705882354,
+      0.8431372549019608,
+      1.0
+    ],
+    "green": [
+      0.11372549019607843,
+      0.4117647058823529,
+      0.0784313725490196,
+      1.0
+    ],
+    "brown": [
+      0.5058823529411764,
+      0.2901960784313726,
+      0.09803921568627451,
+      1.0
+    ],
+    "purple": [
+      0.5058823529411764,
+      0.14901960784313725,
+      0.7529411764705882,
+      1.0
+    ],
+    "cyan": [
+      0.1607843137254902,
+      0.8156862745098039,
+      0.8156862745098039,
+      1.0
+    ],
+    "yellow": [
+      1.0,
+      0.9333333333333333,
+      0.2,
+      1.0
+    ]
+  },
+  "sizes": {
+    "small": 0.25,
+    "large": 0.5
+  },
+  "objects": [
+    {
+      "mesh": "Cube",
+      "material": "Metal",
+      "size": "small",
+      "color": "blue",
+      "angle": 2.5613107601920984,
+      "location": {
+        "x": 3.5984745665648195,
+        "y": -1.0024529123471693,
+        "z": 0.25
+      },
+      "always_within_boundaries": true
+    },
+    {
+      "mesh": "Cone",
+      "material": "Rubber",
+      "size": "large",
+      "color": "brown",
+      "angle": 4.374514273728761,
+      "location": {
+        "x": 0.2788357881003778,
+        "y": 4.665233157669551,
+        "z": 0.5
+      },
+      "always_within_boundaries": true
+    },
+    {
+      "mesh": "Cone",
+      "material": "Metal",
+      "size": "small",
+      "color": "brown",
+      "angle": 5.918823656217745,
+      "location": {
+        "x": -0.12154202081603493,
+        "y": -2.6487103587444216,
+        "z": 0.25
+      },
+      "always_within_boundaries": true
+    },
+    {
+      "cycles": {
+        "linear": {
+          "period": 160,
+          "states": [
+            {
+              "location": {
+                "x": -3.6511041862174753,
+                "y": -2.2865825896060565
+              },
+              "frame": 1
+            },
+            {
+              "location": {
+                "x": -3.666372912766824,
+                "y": -2.2205938561078997
+              },
+              "frame": 2
+            },
+            {
+              "location": {
+                "x": -3.6816416393161724,
+                "y": -2.1546051226097434
+              },
+              "frame": 3
+            },
+            {
+              "location": {
+                "x": -3.696910365865521,
+                "y": -2.0886163891115865
+              },
+              "frame": 4
+            },
+            {
+              "location": {
+                "x": -3.7121790924148694,
+                "y": -2.02262765561343
+              },
+              "frame": 5
+            },
+            {
+              "location": {
+                "x": -3.727447818964218,
+                "y": -1.9566389221152733
+              },
+              "frame": 6
+            },
+            {
+              "location": {
+                "x": -3.7427165455135665,
+                "y": -1.8906501886171168
+              },
+              "frame": 7
+            },
+            {
+              "location": {
+                "x": -3.757985272062915,
+                "y": -1.8246614551189602
+              },
+              "frame": 8
+            },
+            {
+              "location": {
+                "x": -3.7732539986122635,
+                "y": -1.7586727216208033
+              },
+              "frame": 9
+            },
+            {
+              "location": {
+                "x": -3.788522725161612,
+                "y": -1.692683988122647
+              },
+              "frame": 10
+            },
+            {
+              "location": {
+                "x": -3.8037914517109606,
+                "y": -1.6266952546244902
+              },
+              "frame": 11
+            },
+            {
+              "location": {
+                "x": -3.819060178260309,
+                "y": -1.5607065211263336
+              },
+              "frame": 12
+            },
+            {
+              "location": {
+                "x": -3.834328904809657,
+                "y": -1.494717787628177
+              },
+              "frame": 13
+            },
+            {
+              "location": {
+                "x": -3.8495976313590057,
+                "y": -1.4287290541300204
+              },
+              "frame": 14
+            },
+            {
+              "location": {
+                "x": -3.864866357908354,
+                "y": -1.3627403206318638
+              },
+              "frame": 15
+            },
+            {
+              "location": {
+                "x": -3.8801350844577027,
+                "y": -1.2967515871337072
+              },
+              "frame": 16
+            },
+            {
+              "location": {
+                "x": -3.8954038110070512,
+                "y": -1.2307628536355504
+              },
+              "frame": 17
+            },
+            {
+              "location": {
+                "x": -3.9106725375563998,
+                "y": -1.164774120137394
+              },
+              "frame": 18
+            },
+            {
+              "location": {
+                "x": -3.9259412641057483,
+                "y": -1.0987853866392372
+              },
+              "frame": 19
+            },
+            {
+              "location": {
+                "x": -3.941209990655097,
+                "y": -1.0327966531410806
+              },
+              "frame": 20
+            },
+            {
+              "location": {
+                "x": -3.9564787172044453,
+                "y": -0.966807919642924
+              },
+              "frame": 21
+            },
+            {
+              "location": {
+                "x": -3.971747443753794,
+                "y": -0.9008191861447674
+              },
+              "frame": 22
+            },
+            {
+              "location": {
+                "x": -3.9870161703031424,
+                "y": -0.8348304526466106
+              },
+              "frame": 23
+            },
+            {
+              "location": {
+                "x": -4.0022848968524904,
+                "y": -0.7688417191484542
+              },
+              "frame": 24
+            },
+            {
+              "location": {
+                "x": -4.017553623401839,
+                "y": -0.7028529856502976
+              },
+              "frame": 25
+            },
+            {
+              "location": {
+                "x": -4.0328223499511875,
+                "y": -0.6368642521521408
+              },
+              "frame": 26
+            },
+            {
+              "location": {
+                "x": -4.048091076500536,
+                "y": -0.5708755186539842
+              },
+              "frame": 27
+            },
+            {
+              "location": {
+                "x": -4.0633598030498845,
+                "y": -0.5048867851558274
+              },
+              "frame": 28
+            },
+            {
+              "location": {
+                "x": -4.078628529599233,
+                "y": -0.43889805165767104
+              },
+              "frame": 29
+            },
+            {
+              "location": {
+                "x": -4.093897256148582,
+                "y": -0.37290931815951445
+              },
+              "frame": 30
+            },
+            {
+              "location": {
+                "x": -4.10916598269793,
+                "y": -0.30692058466135785
+              },
+              "frame": 31
+            },
+            {
+              "location": {
+                "x": -4.124434709247279,
+                "y": -0.24093185116320104
+              },
+              "frame": 32
+            },
+            {
+              "location": {
+                "x": -4.139703435796627,
+                "y": -0.17494311766504422
+              },
+              "frame": 33
+            },
+            {
+              "location": {
+                "x": -4.154972162345976,
+                "y": -0.10895438416688785
+              },
+              "frame": 34
+            },
+            {
+              "location": {
+                "x": -4.170240888895324,
+                "y": -0.04296565066873148
+              },
+              "frame": 35
+            },
+            {
+              "location": {
+                "x": -4.185509615444673,
+                "y": 0.023023082829425334
+              },
+              "frame": 36
+            },
+            {
+              "location": {
+                "x": -4.200778341994021,
+                "y": 0.08901181632758215
+              },
+              "frame": 37
+            },
+            {
+              "location": {
+                "x": -4.21604706854337,
+                "y": 0.15500054982573896
+              },
+              "frame": 38
+            },
+            {
+              "location": {
+                "x": -4.231315795092718,
+                "y": 0.22098928332389534
+              },
+              "frame": 39
+            },
+            {
+              "location": {
+                "x": -4.246584521642067,
+                "y": 0.2869780168220517
+              },
+              "frame": 40
+            },
+            {
+              "location": {
+                "x": -4.261853248191415,
+                "y": 0.3529667503202085
+              },
+              "frame": 41
+            },
+            {
+              "location": {
+                "x": -4.277121974740764,
+                "y": 0.4189554838183649
+              },
+              "frame": 42
+            },
+            {
+              "location": {
+                "x": -4.292390701290112,
+                "y": 0.4849442173165217
+              },
+              "frame": 43
+            },
+            {
+              "location": {
+                "x": -4.307659427839461,
+                "y": 0.5509329508146781
+              },
+              "frame": 44
+            },
+            {
+              "location": {
+                "x": -4.322928154388809,
+                "y": 0.6169216843128353
+              },
+              "frame": 45
+            },
+            {
+              "location": {
+                "x": -4.338196880938158,
+                "y": 0.6829104178109917
+              },
+              "frame": 46
+            },
+            {
+              "location": {
+                "x": -4.353465607487506,
+                "y": 0.7488991513091481
+              },
+              "frame": 47
+            },
+            {
+              "location": {
+                "x": -4.368734334036855,
+                "y": 0.8148878848073049
+              },
+              "frame": 48
+            },
+            {
+              "location": {
+                "x": -4.3840030605862035,
+                "y": 0.8808766183054613
+              },
+              "frame": 49
+            },
+            {
+              "location": {
+                "x": -4.399271787135552,
+                "y": 0.9468653518036185
+              },
+              "frame": 50
+            },
+            {
+              "location": {
+                "x": -4.4145405136849005,
+                "y": 1.012854085301775
+              },
+              "frame": 51
+            },
+            {
+              "location": {
+                "x": -4.429809240234249,
+                "y": 1.0788428187999313
+              },
+              "frame": 52
+            },
+            {
+              "location": {
+                "x": -4.445077966783598,
+                "y": 1.144831552298088
+              },
+              "frame": 53
+            },
+            {
+              "location": {
+                "x": -4.460346693332946,
+                "y": 1.2108202857962445
+              },
+              "frame": 54
+            },
+            {
+              "location": {
+                "x": -4.475615419882295,
+                "y": 1.2768090192944017
+              },
+              "frame": 55
+            },
+            {
+              "location": {
+                "x": -4.490884146431643,
+                "y": 1.342797752792558
+              },
+              "frame": 56
+            },
+            {
+              "location": {
+                "x": -4.506152872980991,
+                "y": 1.4087864862907145
+              },
+              "frame": 57
+            },
+            {
+              "location": {
+                "x": -4.52142159953034,
+                "y": 1.4747752197888713
+              },
+              "frame": 58
+            },
+            {
+              "location": {
+                "x": -4.536690326079688,
+                "y": 1.5407639532870276
+              },
+              "frame": 59
+            },
+            {
+              "location": {
+                "x": -4.551959052629037,
+                "y": 1.6067526867851845
+              },
+              "frame": 60
+            },
+            {
+              "location": {
+                "x": -4.567227779178385,
+                "y": 1.6727414202833408
+              },
+              "frame": 61
+            },
+            {
+              "location": {
+                "x": -4.582496505727733,
+                "y": 1.7387301537814972
+              },
+              "frame": 62
+            },
+            {
+              "location": {
+                "x": -4.597765232277082,
+                "y": 1.8047188872796545
+              },
+              "frame": 63
+            },
+            {
+              "location": {
+                "x": -4.61303395882643,
+                "y": 1.8707076207778108
+              },
+              "frame": 64
+            },
+            {
+              "location": {
+                "x": -4.628302685375779,
+                "y": 1.936696354275968
+              },
+              "frame": 65
+            },
+            {
+              "location": {
+                "x": -4.6435714119251275,
+                "y": 2.0026850877741245
+              },
+              "frame": 66
+            },
+            {
+              "location": {
+                "x": -4.658840138474476,
+                "y": 2.068673821272281
+              },
+              "frame": 67
+            },
+            {
+              "location": {
+                "x": -4.6741088650238245,
+                "y": 2.134662554770437
+              },
+              "frame": 68
+            },
+            {
+              "location": {
+                "x": -4.689377591573173,
+                "y": 2.2006512882685936
+              },
+              "frame": 69
+            },
+            {
+              "location": {
+                "x": -4.7046463181225215,
+                "y": 2.266640021766751
+              },
+              "frame": 70
+            },
+            {
+              "location": {
+                "x": -4.71991504467187,
+                "y": 2.332628755264907
+              },
+              "frame": 71
+            },
+            {
+              "location": {
+                "x": -4.735183771221219,
+                "y": 2.3986174887630636
+              },
+              "frame": 72
+            },
+            {
+              "location": {
+                "x": -4.750452497770567,
+                "y": 2.464606222261221
+              },
+              "frame": 73
+            },
+            {
+              "location": {
+                "x": -4.765721224319916,
+                "y": 2.530594955759377
+              },
+              "frame": 74
+            },
+            {
+              "location": {
+                "x": -4.780989950869264,
+                "y": 2.5965836892575345
+              },
+              "frame": 75
+            },
+            {
+              "location": {
+                "x": -4.796258677418613,
+                "y": 2.662572422755691
+              },
+              "frame": 76
+            },
+            {
+              "location": {
+                "x": -4.811527403967961,
+                "y": 2.728561156253847
+              },
+              "frame": 77
+            },
+            {
+              "location": {
+                "x": -4.82679613051731,
+                "y": 2.7945498897520036
+              },
+              "frame": 78
+            },
+            {
+              "location": {
+                "x": -4.842064857066658,
+                "y": 2.86053862325016
+              },
+              "frame": 79
+            },
+            {
+              "location": {
+                "x": -4.857333583616007,
+                "y": 2.926527356748317
+              },
+              "frame": 80
+            },
+            {
+              "location": {
+                "x": -4.872602310165355,
+                "y": 2.9925160902464736
+              },
+              "frame": 81
+            },
+            {
+              "location": {
+                "x": -4.857333583616007,
+                "y": 2.926527356748317
+              },
+              "frame": 82
+            },
+            {
+              "location": {
+                "x": -4.842064857066658,
+                "y": 2.86053862325016
+              },
+              "frame": 83
+            },
+            {
+              "location": {
+                "x": -4.82679613051731,
+                "y": 2.7945498897520036
+              },
+              "frame": 84
+            },
+            {
+              "location": {
+                "x": -4.811527403967961,
+                "y": 2.728561156253847
+              },
+              "frame": 85
+            },
+            {
+              "location": {
+                "x": -4.796258677418613,
+                "y": 2.662572422755691
+              },
+              "frame": 86
+            },
+            {
+              "location": {
+                "x": -4.780989950869264,
+                "y": 2.5965836892575336
+              },
+              "frame": 87
+            },
+            {
+              "location": {
+                "x": -4.765721224319916,
+                "y": 2.530594955759377
+              },
+              "frame": 88
+            },
+            {
+              "location": {
+                "x": -4.750452497770567,
+                "y": 2.464606222261221
+              },
+              "frame": 89
+            },
+            {
+              "location": {
+                "x": -4.735183771221219,
+                "y": 2.3986174887630636
+              },
+              "frame": 90
+            },
+            {
+              "location": {
+                "x": -4.71991504467187,
+                "y": 2.332628755264907
+              },
+              "frame": 91
+            },
+            {
+              "location": {
+                "x": -4.7046463181225215,
+                "y": 2.266640021766751
+              },
+              "frame": 92
+            },
+            {
+              "location": {
+                "x": -4.689377591573173,
+                "y": 2.2006512882685945
+              },
+              "frame": 93
+            },
+            {
+              "location": {
+                "x": -4.6741088650238245,
+                "y": 2.134662554770437
+              },
+              "frame": 94
+            },
+            {
+              "location": {
+                "x": -4.658840138474476,
+                "y": 2.068673821272281
+              },
+              "frame": 95
+            },
+            {
+              "location": {
+                "x": -4.6435714119251275,
+                "y": 2.0026850877741245
+              },
+              "frame": 96
+            },
+            {
+              "location": {
+                "x": -4.628302685375779,
+                "y": 1.9366963542759672
+              },
+              "frame": 97
+            },
+            {
+              "location": {
+                "x": -4.613033958826431,
+                "y": 1.8707076207778108
+              },
+              "frame": 98
+            },
+            {
+              "location": {
+                "x": -4.597765232277082,
+                "y": 1.8047188872796545
+              },
+              "frame": 99
+            },
+            {
+              "location": {
+                "x": -4.582496505727734,
+                "y": 1.7387301537814972
+              },
+              "frame": 100
+            },
+            {
+              "location": {
+                "x": -4.567227779178385,
+                "y": 1.6727414202833408
+              },
+              "frame": 101
+            },
+            {
+              "location": {
+                "x": -4.551959052629037,
+                "y": 1.6067526867851845
+              },
+              "frame": 102
+            },
+            {
+              "location": {
+                "x": -4.536690326079688,
+                "y": 1.5407639532870276
+              },
+              "frame": 103
+            },
+            {
+              "location": {
+                "x": -4.52142159953034,
+                "y": 1.4747752197888713
+              },
+              "frame": 104
+            },
+            {
+              "location": {
+                "x": -4.506152872980992,
+                "y": 1.4087864862907145
+              },
+              "frame": 105
+            },
+            {
+              "location": {
+                "x": -4.490884146431643,
+                "y": 1.342797752792558
+              },
+              "frame": 106
+            },
+            {
+              "location": {
+                "x": -4.475615419882295,
+                "y": 1.2768090192944013
+              },
+              "frame": 107
+            },
+            {
+              "location": {
+                "x": -4.460346693332946,
+                "y": 1.2108202857962445
+              },
+              "frame": 108
+            },
+            {
+              "location": {
+                "x": -4.445077966783598,
+                "y": 1.144831552298088
+              },
+              "frame": 109
+            },
+            {
+              "location": {
+                "x": -4.429809240234249,
+                "y": 1.0788428187999317
+              },
+              "frame": 110
+            },
+            {
+              "location": {
+                "x": -4.4145405136849005,
+                "y": 1.012854085301775
+              },
+              "frame": 111
+            },
+            {
+              "location": {
+                "x": -4.399271787135552,
+                "y": 0.9468653518036181
+              },
+              "frame": 112
+            },
+            {
+              "location": {
+                "x": -4.3840030605862035,
+                "y": 0.8808766183054613
+              },
+              "frame": 113
+            },
+            {
+              "location": {
+                "x": -4.368734334036855,
+                "y": 0.8148878848073049
+              },
+              "frame": 114
+            },
+            {
+              "location": {
+                "x": -4.353465607487506,
+                "y": 0.7488991513091485
+              },
+              "frame": 115
+            },
+            {
+              "location": {
+                "x": -4.338196880938158,
+                "y": 0.6829104178109917
+              },
+              "frame": 116
+            },
+            {
+              "location": {
+                "x": -4.322928154388809,
+                "y": 0.6169216843128349
+              },
+              "frame": 117
+            },
+            {
+              "location": {
+                "x": -4.307659427839461,
+                "y": 0.5509329508146781
+              },
+              "frame": 118
+            },
+            {
+              "location": {
+                "x": -4.292390701290112,
+                "y": 0.4849442173165217
+              },
+              "frame": 119
+            },
+            {
+              "location": {
+                "x": -4.277121974740764,
+                "y": 0.41895548381836534
+              },
+              "frame": 120
+            },
+            {
+              "location": {
+                "x": -4.261853248191415,
+                "y": 0.3529667503202085
+              },
+              "frame": 121
+            },
+            {
+              "location": {
+                "x": -4.246584521642067,
+                "y": 0.28697801682205215
+              },
+              "frame": 122
+            },
+            {
+              "location": {
+                "x": -4.231315795092718,
+                "y": 0.22098928332389534
+              },
+              "frame": 123
+            },
+            {
+              "location": {
+                "x": -4.21604706854337,
+                "y": 0.15500054982573896
+              },
+              "frame": 124
+            },
+            {
+              "location": {
+                "x": -4.200778341994021,
+                "y": 0.0890118163275817
+              },
+              "frame": 125
+            },
+            {
+              "location": {
+                "x": -4.185509615444673,
+                "y": 0.023023082829425334
+              },
+              "frame": 126
+            },
+            {
+              "location": {
+                "x": -4.170240888895324,
+                "y": -0.04296565066873104
+              },
+              "frame": 127
+            },
+            {
+              "location": {
+                "x": -4.154972162345976,
+                "y": -0.10895438416688785
+              },
+              "frame": 128
+            },
+            {
+              "location": {
+                "x": -4.139703435796627,
+                "y": -0.17494311766504422
+              },
+              "frame": 129
+            },
+            {
+              "location": {
+                "x": -4.124434709247279,
+                "y": -0.24093185116320148
+              },
+              "frame": 130
+            },
+            {
+              "location": {
+                "x": -4.10916598269793,
+                "y": -0.30692058466135785
+              },
+              "frame": 131
+            },
+            {
+              "location": {
+                "x": -4.093897256148582,
+                "y": -0.3729093181595142
+              },
+              "frame": 132
+            },
+            {
+              "location": {
+                "x": -4.078628529599233,
+                "y": -0.43889805165767104
+              },
+              "frame": 133
+            },
+            {
+              "location": {
+                "x": -4.0633598030498845,
+                "y": -0.5048867851558274
+              },
+              "frame": 134
+            },
+            {
+              "location": {
+                "x": -4.048091076500536,
+                "y": -0.5708755186539847
+              },
+              "frame": 135
+            },
+            {
+              "location": {
+                "x": -4.0328223499511875,
+                "y": -0.636864252152141
+              },
+              "frame": 136
+            },
+            {
+              "location": {
+                "x": -4.01755362340184,
+                "y": -0.7028529856502974
+              },
+              "frame": 137
+            },
+            {
+              "location": {
+                "x": -4.0022848968524904,
+                "y": -0.7688417191484542
+              },
+              "frame": 138
+            },
+            {
+              "location": {
+                "x": -3.9870161703031424,
+                "y": -0.8348304526466106
+              },
+              "frame": 139
+            },
+            {
+              "location": {
+                "x": -3.971747443753794,
+                "y": -0.9008191861447674
+              },
+              "frame": 140
+            },
+            {
+              "location": {
+                "x": -3.9564787172044453,
+                "y": -0.9668079196429238
+              },
+              "frame": 141
+            },
+            {
+              "location": {
+                "x": -3.941209990655097,
+                "y": -1.0327966531410802
+              },
+              "frame": 142
+            },
+            {
+              "location": {
+                "x": -3.9259412641057483,
+                "y": -1.0987853866392374
+              },
+              "frame": 143
+            },
+            {
+              "location": {
+                "x": -3.9106725375563998,
+                "y": -1.1647741201373938
+              },
+              "frame": 144
+            },
+            {
+              "location": {
+                "x": -3.8954038110070512,
+                "y": -1.230762853635551
+              },
+              "frame": 145
+            },
+            {
+              "location": {
+                "x": -3.8801350844577027,
+                "y": -1.2967515871337074
+              },
+              "frame": 146
+            },
+            {
+              "location": {
+                "x": -3.8648663579083546,
+                "y": -1.3627403206318638
+              },
+              "frame": 147
+            },
+            {
+              "location": {
+                "x": -3.849597631359006,
+                "y": -1.4287290541300202
+              },
+              "frame": 148
+            },
+            {
+              "location": {
+                "x": -3.8343289048096576,
+                "y": -1.4947177876281765
+              },
+              "frame": 149
+            },
+            {
+              "location": {
+                "x": -3.819060178260309,
+                "y": -1.5607065211263338
+              },
+              "frame": 150
+            },
+            {
+              "location": {
+                "x": -3.8037914517109606,
+                "y": -1.6266952546244902
+              },
+              "frame": 151
+            },
+            {
+              "location": {
+                "x": -3.788522725161612,
+                "y": -1.6926839881226465
+              },
+              "frame": 152
+            },
+            {
+              "location": {
+                "x": -3.7732539986122635,
+                "y": -1.7586727216208038
+              },
+              "frame": 153
+            },
+            {
+              "location": {
+                "x": -3.757985272062915,
+                "y": -1.8246614551189602
+              },
+              "frame": 154
+            },
+            {
+              "location": {
+                "x": -3.7427165455135665,
+                "y": -1.8906501886171174
+              },
+              "frame": 155
+            },
+            {
+              "location": {
+                "x": -3.727447818964218,
+                "y": -1.9566389221152738
+              },
+              "frame": 156
+            },
+            {
+              "location": {
+                "x": -3.7121790924148694,
+                "y": -2.02262765561343
+              },
+              "frame": 157
+            },
+            {
+              "location": {
+                "x": -3.696910365865521,
+                "y": -2.0886163891115865
+              },
+              "frame": 158
+            },
+            {
+              "location": {
+                "x": -3.6816416393161724,
+                "y": -2.154605122609743
+              },
+              "frame": 159
+            },
+            {
+              "location": {
+                "x": -3.666372912766824,
+                "y": -2.2205938561079
+              },
+              "frame": 160
+            }
+          ]
+        }
+      },
+      "mesh": "Cube",
+      "material": "Metal",
+      "size": "small",
+      "color": "cyan",
+      "location": {
+        "x": -3.6511041862174753,
+        "y": -2.2865825896060565,
+        "z": 0.25
+      },
+      "intermittent_location": {
+        "x": -4.872602310165355,
+        "y": 2.9925160902464736,
+        "z": 0.25
+      },
+      "angle": 6.067594611830694,
+      "always_within_boundaries": true
+    }
+  ],
+  "max_number_of_cyclic_objects": 1,
+  "lights": {
+    "period": 80,
+    "states": [
+      {
+        "intensity": 1.0,
+        "frame": 1
+      },
+      {
+        "intensity": 0.998458666866564,
+        "frame": 2
+      },
+      {
+        "intensity": 0.9938441702975689,
+        "frame": 3
+      },
+      {
+        "intensity": 0.9861849601988383,
+        "frame": 4
+      },
+      {
+        "intensity": 0.9755282581475768,
+        "frame": 5
+      },
+      {
+        "intensity": 0.9619397662556434,
+        "frame": 6
+      },
+      {
+        "intensity": 0.9455032620941839,
+        "frame": 7
+      },
+      {
+        "intensity": 0.9263200821770461,
+        "frame": 8
+      },
+      {
+        "intensity": 0.9045084971874737,
+        "frame": 9
+      },
+      {
+        "intensity": 0.8802029828000155,
+        "frame": 10
+      },
+      {
+        "intensity": 0.8535533905932737,
+        "frame": 11
+      },
+      {
+        "intensity": 0.8247240241650917,
+        "frame": 12
+      },
+      {
+        "intensity": 0.7938926261462366,
+        "frame": 13
+      },
+      {
+        "intensity": 0.7612492823579744,
+        "frame": 14
+      },
+      {
+        "intensity": 0.7269952498697734,
+        "frame": 15
+      },
+      {
+        "intensity": 0.6913417161825449,
+        "frame": 16
+      },
+      {
+        "intensity": 0.6545084971874737,
+        "frame": 17
+      },
+      {
+        "intensity": 0.6167226819279528,
+        "frame": 18
+      },
+      {
+        "intensity": 0.5782172325201155,
+        "frame": 19
+      },
+      {
+        "intensity": 0.5392295478639225,
+        "frame": 20
+      },
+      {
+        "intensity": 0.5,
+        "frame": 21
+      },
+      {
+        "intensity": 0.4607704521360776,
+        "frame": 22
+      },
+      {
+        "intensity": 0.42178276747988447,
+        "frame": 23
+      },
+      {
+        "intensity": 0.38327731807204746,
+        "frame": 24
+      },
+      {
+        "intensity": 0.34549150281252633,
+        "frame": 25
+      },
+      {
+        "intensity": 0.30865828381745514,
+        "frame": 26
+      },
+      {
+        "intensity": 0.2730047501302266,
+        "frame": 27
+      },
+      {
+        "intensity": 0.2387507176420256,
+        "frame": 28
+      },
+      {
+        "intensity": 0.2061073738537635,
+        "frame": 29
+      },
+      {
+        "intensity": 0.17527597583490823,
+        "frame": 30
+      },
+      {
+        "intensity": 0.14644660940672627,
+        "frame": 31
+      },
+      {
+        "intensity": 0.11979701719998453,
+        "frame": 32
+      },
+      {
+        "intensity": 0.09549150281252633,
+        "frame": 33
+      },
+      {
+        "intensity": 0.07367991782295391,
+        "frame": 34
+      },
+      {
+        "intensity": 0.054496737905816106,
+        "frame": 35
+      },
+      {
+        "intensity": 0.03806023374435663,
+        "frame": 36
+      },
+      {
+        "intensity": 0.024471741852423234,
+        "frame": 37
+      },
+      {
+        "intensity": 0.013815039801161721,
+        "frame": 38
+      },
+      {
+        "intensity": 0.00615582970243117,
+        "frame": 39
+      },
+      {
+        "intensity": 0.001541333133436018,
+        "frame": 40
+      },
+      {
+        "intensity": 0.0,
+        "frame": 41
+      },
+      {
+        "intensity": 0.0015413331334359626,
+        "frame": 42
+      },
+      {
+        "intensity": 0.006155829702431115,
+        "frame": 43
+      },
+      {
+        "intensity": 0.013815039801161666,
+        "frame": 44
+      },
+      {
+        "intensity": 0.024471741852423234,
+        "frame": 45
+      },
+      {
+        "intensity": 0.038060233744356575,
+        "frame": 46
+      },
+      {
+        "intensity": 0.05449673790581594,
+        "frame": 47
+      },
+      {
+        "intensity": 0.07367991782295386,
+        "frame": 48
+      },
+      {
+        "intensity": 0.09549150281252622,
+        "frame": 49
+      },
+      {
+        "intensity": 0.11979701719998465,
+        "frame": 50
+      },
+      {
+        "intensity": 0.14644660940672616,
+        "frame": 51
+      },
+      {
+        "intensity": 0.17527597583490795,
+        "frame": 52
+      },
+      {
+        "intensity": 0.20610737385376338,
+        "frame": 53
+      },
+      {
+        "intensity": 0.23875071764202532,
+        "frame": 54
+      },
+      {
+        "intensity": 0.2730047501302265,
+        "frame": 55
+      },
+      {
+        "intensity": 0.30865828381745486,
+        "frame": 56
+      },
+      {
+        "intensity": 0.3454915028125262,
+        "frame": 57
+      },
+      {
+        "intensity": 0.38327731807204746,
+        "frame": 58
+      },
+      {
+        "intensity": 0.42178276747988447,
+        "frame": 59
+      },
+      {
+        "intensity": 0.46077045213607765,
+        "frame": 60
+      },
+      {
+        "intensity": 0.4999999999999999,
+        "frame": 61
+      },
+      {
+        "intensity": 0.5392295478639222,
+        "frame": 62
+      },
+      {
+        "intensity": 0.5782172325201154,
+        "frame": 63
+      },
+      {
+        "intensity": 0.6167226819279524,
+        "frame": 64
+      },
+      {
+        "intensity": 0.6545084971874736,
+        "frame": 65
+      },
+      {
+        "intensity": 0.691341716182545,
+        "frame": 66
+      },
+      {
+        "intensity": 0.7269952498697734,
+        "frame": 67
+      },
+      {
+        "intensity": 0.7612492823579745,
+        "frame": 68
+      },
+      {
+        "intensity": 0.7938926261462365,
+        "frame": 69
+      },
+      {
+        "intensity": 0.8247240241650919,
+        "frame": 70
+      },
+      {
+        "intensity": 0.8535533905932737,
+        "frame": 71
+      },
+      {
+        "intensity": 0.8802029828000153,
+        "frame": 72
+      },
+      {
+        "intensity": 0.9045084971874737,
+        "frame": 73
+      },
+      {
+        "intensity": 0.9263200821770459,
+        "frame": 74
+      },
+      {
+        "intensity": 0.9455032620941839,
+        "frame": 75
+      },
+      {
+        "intensity": 0.9619397662556433,
+        "frame": 76
+      },
+      {
+        "intensity": 0.9755282581475768,
+        "frame": 77
+      },
+      {
+        "intensity": 0.9861849601988384,
+        "frame": 78
+      },
+      {
+        "intensity": 0.9938441702975689,
+        "frame": 79
+      },
+      {
+        "intensity": 0.998458666866564,
+        "frame": 80
+      },
+      {
+        "intensity": 1.0,
+        "frame": 81
+      },
+      {
+        "intensity": 0.998458666866564,
+        "frame": 82
+      },
+      {
+        "intensity": 0.9938441702975689,
+        "frame": 83
+      },
+      {
+        "intensity": 0.9861849601988383,
+        "frame": 84
+      },
+      {
+        "intensity": 0.9755282581475768,
+        "frame": 85
+      },
+      {
+        "intensity": 0.9619397662556434,
+        "frame": 86
+      },
+      {
+        "intensity": 0.9455032620941839,
+        "frame": 87
+      },
+      {
+        "intensity": 0.9263200821770461,
+        "frame": 88
+      },
+      {
+        "intensity": 0.9045084971874737,
+        "frame": 89
+      },
+      {
+        "intensity": 0.8802029828000155,
+        "frame": 90
+      },
+      {
+        "intensity": 0.8535533905932737,
+        "frame": 91
+      },
+      {
+        "intensity": 0.8247240241650917,
+        "frame": 92
+      },
+      {
+        "intensity": 0.7938926261462366,
+        "frame": 93
+      },
+      {
+        "intensity": 0.7612492823579744,
+        "frame": 94
+      },
+      {
+        "intensity": 0.7269952498697734,
+        "frame": 95
+      },
+      {
+        "intensity": 0.6913417161825449,
+        "frame": 96
+      },
+      {
+        "intensity": 0.6545084971874737,
+        "frame": 97
+      },
+      {
+        "intensity": 0.6167226819279528,
+        "frame": 98
+      },
+      {
+        "intensity": 0.5782172325201155,
+        "frame": 99
+      },
+      {
+        "intensity": 0.5392295478639225,
+        "frame": 100
+      },
+      {
+        "intensity": 0.5,
+        "frame": 101
+      },
+      {
+        "intensity": 0.4607704521360776,
+        "frame": 102
+      },
+      {
+        "intensity": 0.42178276747988447,
+        "frame": 103
+      },
+      {
+        "intensity": 0.38327731807204746,
+        "frame": 104
+      },
+      {
+        "intensity": 0.34549150281252633,
+        "frame": 105
+      },
+      {
+        "intensity": 0.30865828381745514,
+        "frame": 106
+      },
+      {
+        "intensity": 0.2730047501302266,
+        "frame": 107
+      },
+      {
+        "intensity": 0.2387507176420256,
+        "frame": 108
+      },
+      {
+        "intensity": 0.2061073738537635,
+        "frame": 109
+      },
+      {
+        "intensity": 0.17527597583490823,
+        "frame": 110
+      },
+      {
+        "intensity": 0.14644660940672627,
+        "frame": 111
+      },
+      {
+        "intensity": 0.11979701719998453,
+        "frame": 112
+      },
+      {
+        "intensity": 0.09549150281252633,
+        "frame": 113
+      },
+      {
+        "intensity": 0.07367991782295391,
+        "frame": 114
+      },
+      {
+        "intensity": 0.054496737905816106,
+        "frame": 115
+      },
+      {
+        "intensity": 0.03806023374435663,
+        "frame": 116
+      },
+      {
+        "intensity": 0.024471741852423234,
+        "frame": 117
+      },
+      {
+        "intensity": 0.013815039801161721,
+        "frame": 118
+      },
+      {
+        "intensity": 0.00615582970243117,
+        "frame": 119
+      },
+      {
+        "intensity": 0.001541333133436018,
+        "frame": 120
+      },
+      {
+        "intensity": 0.0,
+        "frame": 121
+      },
+      {
+        "intensity": 0.0015413331334359626,
+        "frame": 122
+      },
+      {
+        "intensity": 0.006155829702431115,
+        "frame": 123
+      },
+      {
+        "intensity": 0.013815039801161666,
+        "frame": 124
+      },
+      {
+        "intensity": 0.024471741852423234,
+        "frame": 125
+      },
+      {
+        "intensity": 0.038060233744356575,
+        "frame": 126
+      },
+      {
+        "intensity": 0.05449673790581594,
+        "frame": 127
+      },
+      {
+        "intensity": 0.07367991782295386,
+        "frame": 128
+      },
+      {
+        "intensity": 0.09549150281252622,
+        "frame": 129
+      },
+      {
+        "intensity": 0.11979701719998465,
+        "frame": 130
+      },
+      {
+        "intensity": 0.14644660940672616,
+        "frame": 131
+      },
+      {
+        "intensity": 0.17527597583490795,
+        "frame": 132
+      },
+      {
+        "intensity": 0.20610737385376338,
+        "frame": 133
+      },
+      {
+        "intensity": 0.23875071764202532,
+        "frame": 134
+      },
+      {
+        "intensity": 0.2730047501302265,
+        "frame": 135
+      },
+      {
+        "intensity": 0.30865828381745486,
+        "frame": 136
+      },
+      {
+        "intensity": 0.3454915028125262,
+        "frame": 137
+      },
+      {
+        "intensity": 0.38327731807204746,
+        "frame": 138
+      },
+      {
+        "intensity": 0.42178276747988447,
+        "frame": 139
+      },
+      {
+        "intensity": 0.46077045213607765,
+        "frame": 140
+      },
+      {
+        "intensity": 0.4999999999999999,
+        "frame": 141
+      },
+      {
+        "intensity": 0.5392295478639222,
+        "frame": 142
+      },
+      {
+        "intensity": 0.5782172325201154,
+        "frame": 143
+      },
+      {
+        "intensity": 0.6167226819279524,
+        "frame": 144
+      },
+      {
+        "intensity": 0.6545084971874736,
+        "frame": 145
+      },
+      {
+        "intensity": 0.691341716182545,
+        "frame": 146
+      },
+      {
+        "intensity": 0.7269952498697734,
+        "frame": 147
+      },
+      {
+        "intensity": 0.7612492823579745,
+        "frame": 148
+      },
+      {
+        "intensity": 0.7938926261462365,
+        "frame": 149
+      },
+      {
+        "intensity": 0.8247240241650919,
+        "frame": 150
+      },
+      {
+        "intensity": 0.8535533905932737,
+        "frame": 151
+      },
+      {
+        "intensity": 0.8802029828000153,
+        "frame": 152
+      },
+      {
+        "intensity": 0.9045084971874737,
+        "frame": 153
+      },
+      {
+        "intensity": 0.9263200821770459,
+        "frame": 154
+      },
+      {
+        "intensity": 0.9455032620941839,
+        "frame": 155
+      },
+      {
+        "intensity": 0.9619397662556433,
+        "frame": 156
+      },
+      {
+        "intensity": 0.9755282581475768,
+        "frame": 157
+      },
+      {
+        "intensity": 0.9861849601988384,
+        "frame": 158
+      },
+      {
+        "intensity": 0.9938441702975689,
+        "frame": 159
+      },
+      {
+        "intensity": 0.998458666866564,
+        "frame": 160
+      }
+    ]
+  },
+  "rendered": true,
+  "scene_config_file": "nightrider1_train_linear_32_config.json",
+  "video_file": "nightrider1_train_linear_32.mp4",
+  "blend_file": "nightrider1_train_linear_32.blend",
+  "directions": {
+    "behind": [
+      0.0,
+      0.8096116781234741,
+      -0.5869657397270203
+    ],
+    "front": [
+      -0.0,
+      -0.8096116781234741,
+      0.5869657397270203
+    ],
+    "left": [
+      -1.0,
+      0.0,
+      0.0
+    ],
+    "right": [
+      1.0,
+      -0.0,
+      -0.0
+    ],
+    "above": [
+      0.0,
+      0.0,
+      1.0
+    ],
+    "below": [
+      -0.0,
+      -0.0,
+      -1.0
+    ]
+  },
+  "render_time": 619.9022464752197,
+  "relationships": {
+    "behind": {
+      "0": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "1": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "2": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "3": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "4": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "5": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "6": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "7": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "8": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "9": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "10": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "11": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "12": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "13": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "14": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "15": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "16": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "17": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "18": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "19": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "20": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "21": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "22": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "23": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "24": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "25": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "26": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "27": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "28": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "29": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "30": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "31": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "32": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "33": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "34": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "35": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "36": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "37": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "38": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "39": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "40": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "41": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "42": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "43": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "44": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "45": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "46": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "47": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "48": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "49": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "50": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "51": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "52": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "53": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "54": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "55": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "56": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "57": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "58": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "59": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "60": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "61": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "62": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "63": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "64": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "65": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "66": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "67": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "68": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "69": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "70": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "71": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "72": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "73": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "74": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "75": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "76": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "77": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "78": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "79": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "80": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "81": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "82": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "83": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "84": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "85": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "86": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "87": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "88": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "89": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "90": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "91": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "92": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "93": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "94": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "95": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "96": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "97": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "98": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "99": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "100": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "101": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "102": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "103": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "104": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "105": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "106": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "107": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "108": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "109": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "110": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "111": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "112": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "113": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "114": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "115": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          2,
+          3
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "116": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "117": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "118": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "119": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "120": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "121": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "122": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "123": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "124": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "125": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "126": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "127": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "128": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "129": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "130": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "131": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "132": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "133": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "134": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "135": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "136": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "137": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "138": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "139": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "140": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "141": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "142": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "143": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "144": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "145": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "146": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "147": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "148": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "149": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "150": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "151": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "152": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "153": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "154": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "155": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "156": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "157": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "158": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ],
+      "159": [
+        [
+          0,
+          1
+        ],
+        [
+          2,
+          1
+        ],
+        [
+          3,
+          1
+        ]
+      ]
+    },
+    "front": {
+      "0": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "1": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "2": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "3": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "4": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "5": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "6": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "7": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "8": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "9": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "10": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "11": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "12": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "13": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "14": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "15": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "16": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "17": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "18": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "19": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "20": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "21": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "22": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "23": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "24": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "25": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "26": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "27": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "28": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "29": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "30": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "31": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "32": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "33": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "34": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "35": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "36": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "37": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "38": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "39": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "40": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "41": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "42": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "43": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "44": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "45": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "46": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "47": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "48": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "49": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "50": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "51": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "52": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "53": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "54": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "55": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "56": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "57": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "58": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "59": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "60": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "61": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "62": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "63": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "64": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "65": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "66": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "67": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "68": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "69": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "70": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "71": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "72": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "73": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "74": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "75": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "76": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "77": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "78": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "79": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "80": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "81": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "82": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "83": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "84": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "85": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "86": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "87": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "88": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "89": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "90": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "91": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "92": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "93": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "94": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "95": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "96": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "97": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "98": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "99": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "100": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "101": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "102": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "103": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "104": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "105": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "106": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "107": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "108": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "109": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "110": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "111": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "112": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "113": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "114": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "115": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "116": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "117": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "118": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "119": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "120": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "121": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "122": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "123": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "124": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "125": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "126": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "127": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "128": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "129": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "130": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "131": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "132": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "133": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "134": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "135": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "136": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "137": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "138": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "139": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "140": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "141": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "142": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "143": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "144": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "145": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "146": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "147": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "148": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "149": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "150": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "151": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "152": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "153": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "154": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "155": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "156": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "157": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "158": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ],
+      "159": [
+        [
+          1,
+          0
+        ],
+        [
+          1,
+          2
+        ],
+        [
+          1,
+          3
+        ]
+      ]
+    },
+    "left": {
+      "0": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "1": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "2": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "3": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "4": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "5": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "6": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "7": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "8": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "9": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "10": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "11": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "12": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "13": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "14": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "15": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "16": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "17": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "18": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "19": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "20": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "21": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "22": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "23": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "24": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "25": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "26": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "27": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "28": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "29": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "30": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "31": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "32": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "33": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "34": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "35": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "36": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "37": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "38": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "39": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "40": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "41": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "42": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "43": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "44": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "45": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "46": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "47": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "48": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "49": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "50": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "51": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "52": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "53": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "54": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "55": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "56": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "57": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "58": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "59": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "60": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "61": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "62": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "63": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "64": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "65": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "66": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "67": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "68": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "69": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "70": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "71": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "72": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "73": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "74": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "75": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "76": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "77": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "78": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "79": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "80": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "81": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "82": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "83": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "84": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "85": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "86": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "87": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "88": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "89": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "90": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "91": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "92": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "93": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "94": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "95": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "96": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "97": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "98": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "99": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "100": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "101": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "102": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "103": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "104": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "105": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "106": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "107": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "108": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "109": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "110": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "111": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "112": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "113": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "114": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "115": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "116": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "117": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "118": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "119": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "120": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "121": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "122": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "123": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "124": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "125": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "126": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "127": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "128": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "129": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "130": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "131": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "132": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "133": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "134": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "135": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "136": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "137": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "138": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "139": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "140": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "141": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "142": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "143": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "144": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "145": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "146": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "147": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "148": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "149": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "150": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "151": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "152": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "153": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "154": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "155": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "156": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "157": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "158": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          1,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ],
+      "159": [
+        [
+          0,
+          1
+        ],
+        [
+          0,
+          2
+        ],
+        [
+          0,
+          3
+        ],
+        [
+          2,
+          3
+        ]
+      ]
+    },
+    "right": {
+      "0": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "1": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "2": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "3": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "4": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "5": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "6": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "7": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "8": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "9": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "10": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "11": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "12": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "13": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "14": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "15": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "16": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "17": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "18": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "19": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "20": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "21": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "22": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "23": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "24": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "25": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "26": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "27": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "28": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "29": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "30": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "31": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "32": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "33": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "34": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "35": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "36": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "37": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "38": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "39": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "40": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "41": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "42": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "43": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "44": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "45": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "46": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "47": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "48": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "49": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "50": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "51": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "52": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "53": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "54": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "55": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "56": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "57": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "58": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "59": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "60": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "61": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "62": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "63": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "64": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "65": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "66": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "67": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "68": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "69": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "70": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "71": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "72": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "73": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "74": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "75": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "76": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "77": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "78": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "79": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "80": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "81": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "82": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "83": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "84": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "85": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "86": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "87": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "88": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "89": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "90": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "91": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "92": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "93": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "94": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "95": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "96": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "97": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "98": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "99": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "100": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "101": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "102": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "103": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "104": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "105": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "106": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "107": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "108": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "109": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "110": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "111": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "112": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "113": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "114": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "115": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "116": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "117": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "118": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "119": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "120": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "121": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "122": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "123": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "124": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "125": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "126": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "127": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "128": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "129": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "130": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "131": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "132": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "133": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "134": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "135": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "136": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "137": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "138": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "139": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "140": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "141": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "142": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "143": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "144": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "145": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "146": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "147": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "148": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "149": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "150": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "151": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "152": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "153": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "154": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "155": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "156": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "157": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "158": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          1
+        ],
+        [
+          3,
+          2
+        ]
+      ],
+      "159": [
+        [
+          1,
+          0
+        ],
+        [
+          2,
+          0
+        ],
+        [
+          3,
+          0
+        ],
+        [
+          3,
+          2
+        ]
+      ]
+    },
+    "above": {},
+    "below": {}
+  }
+}
\ No newline at end of file