Datasets:

BeeGass
/

Group-Theory-Collection

@@ -4,93 +4,37 @@ size_categories:
   - small
   - medium
   - large
-  - xlarge
-  - xxlarge
 tags:
   - mathematics
   - group-theory
   - permutations
   - sequence-to-sequence
   - benchmark
-  - generated
 task_categories:
   - text-generation
   - sequence-modeling
-annotations_creators:
-  - no-annotations
-language_creators:
-  - other
-language:
-  - en
-licenses:
-  - mit
----
 # Permutation Composition Dataset for S6
-This dataset contains sequences of permutation IDs and their compositions, designed for benchmarking sequence-to-sequence models on group theory tasks.
-## Dataset Structure
-The dataset is split into `train` and `test` sets. Each sample in the dataset has the following features:
-- `input_sequence`: A space-separated string of integer IDs representing the sequence of permutations to be composed.
-- `target`: An integer ID representing the composition of the `input_sequence` permutations.
-## Group Details
-- **Group Name**: S6
-- **Group Type**: Symmetric Group
-- **Degree**: 6 (permutations act on 6 elements)
-- **Order**: 720 (total number of elements in the group)
-## Data Generation
-This dataset was generated using the `s5-data-gen` script. The generation process involves:
-1.  Generating all unique permutations for the specified group.
-2.  Mapping each unique permutation to a unique integer ID.
-3.  Randomly sampling sequences of these permutation IDs.
-4.  Composing the permutations in the sequence (from right to left: `p_n o ... o p_2 o p_1`).
-5.  Mapping the resulting composed permutation to its integer ID as the target.
-### Generation Parameters:
-- **Total Samples**: 100000
-- **Minimum Sequence Length**: 3
-- **Maximum Sequence Length**: 512
-- **Test Split Size**: 0.2
 ## Dataset Statistics
-- **Train Samples**: 80000
-- **Test Samples**: 20000
-## Permutation Mapping
-The mapping from integer IDs to their corresponding permutation array forms is provided in the `metadata.json` file alongside the dataset. This file is crucial for interpreting the `input_sequence` and `target` IDs.
-Example of `metadata.json` content:
-```json
-{
-  "0": "[0, 1, 2, 3, 4]",
-  "1": "[0, 1, 3, 2, 4]",
-  "2": "[0, 1, 4, 3, 2]",
-  "3": "[0, 2, 1, 3, 4]",
-  "4": "[0, 2, 3, 1, 4]"
-  // ... and so on for all 720 permutations
-}
-```
 ## Usage
-You can load this dataset using the Hugging Face `datasets` library:
 ```python
 from datasets import load_dataset
-import json
-from huggingface_hub import hf_hub_download
 # Load the dataset
 dataset = load_dataset("BeeGass/permutation-groups")
@@ -99,22 +43,6 @@ dataset = load_dataset("BeeGass/permutation-groups")
 metadata_path = hf_hub_download(repo_id="BeeGass/permutation-groups", filename="metadata.json")
 with open(metadata_path, "r") as f:
     id_to_perm_map = json.load(f)
-# Example: Decode a sample
-first_train_sample = dataset["train"][0]
-input_ids = [int(x) for x in first_train_sample["input_sequence"].split(" ")]
-target_id = int(first_train_sample["target"])
-print(f"Input sequence IDs: {input_ids}")
-print(f"Target ID: {target_id}")
-# Convert IDs back to permutations (example for the first input permutation)
-# Note: SymPy Permutation expects a list of integers, not a string representation
-# You would need to parse the string representation from id_to_perm_map
-# For example: eval(id_to_perm_map[str(input_ids[0])])
-print(f"First input permutation (array form): {id_to_perm_map[str(input_ids[0])]}")
-print(f"Target permutation (array form): {id_to_perm_map[str(target_id)]}")
 ```
 ## License

   - small
   - medium
   - large
 tags:
   - mathematics
   - group-theory
   - permutations
   - sequence-to-sequence
   - benchmark
 task_categories:
   - text-generation
   - sequence-modeling
+---
 # Permutation Composition Dataset for S6
+This dataset contains 80000 samples of permutation composition problems for the group S6.
+## Group Information
+- **Group**: S6
+- **Order**: 720
+- **Degree**: 6
 ## Dataset Statistics
+- **Total samples**: 80000
+- **Train samples**: 64000
+- **Test samples**: 16000
+- **Min sequence length**: 3
+- **Max sequence length**: 512
 ## Usage
 ```python
 from datasets import load_dataset
 # Load the dataset
 dataset = load_dataset("BeeGass/permutation-groups")
 metadata_path = hf_hub_download(repo_id="BeeGass/permutation-groups", filename="metadata.json")
 with open(metadata_path, "r") as f:
     id_to_perm_map = json.load(f)
 ```
 ## License

data/s6_data/metadata.json CHANGED Viewed

@@ -1,722 +1,722 @@
 {
-    "0": "[0, 1, 3, 5, 2, 4]",
-    "1": "[1, 2, 4, 0, 3, 5]",
-    "2": "[2, 3, 5, 1, 4, 0]",
-    "3": "[3, 4, 0, 2, 5, 1]",
-    "4": "[4, 5, 2, 0, 1, 3]",
-    "5": "[5, 1, 3, 0, 2, 4]",
-    "6": "[0, 2, 3, 4, 1, 5]",
-    "7": "[1, 3, 4, 5, 2, 0]",
-    "8": "[2, 4, 5, 0, 3, 1]",
-    "9": "[3, 5, 0, 1, 4, 2]",
-    "10": "[4, 1, 2, 3, 5, 0]",
-    "11": "[5, 2, 3, 4, 1, 0]",
-    "12": "[0, 3, 2, 4, 1, 5]",
-    "13": "[1, 4, 3, 5, 2, 0]",
-    "14": "[2, 5, 4, 0, 3, 1]",
-    "15": "[3, 0, 5, 1, 4, 2]",
-    "16": "[4, 2, 1, 3, 5, 0]",
-    "17": "[5, 3, 2, 4, 1, 0]",
-    "18": "[0, 4, 1, 3, 5, 2]",
-    "19": "[1, 5, 2, 4, 0, 3]",
-    "20": "[2, 0, 3, 5, 1, 4]",
-    "21": "[3, 1, 4, 0, 2, 5]",
-    "22": "[4, 3, 5, 2, 0, 1]",
-    "23": "[5, 4, 1, 3, 0, 2]",
-    "24": "[0, 5, 2, 4, 1, 3]",
-    "25": "[1, 0, 3, 5, 2, 4]",
-    "26": "[2, 1, 4, 0, 3, 5]",
-    "27": "[3, 2, 5, 1, 4, 0]",
-    "28": "[4, 0, 1, 3, 5, 2]",
-    "29": "[5, 0, 2, 4, 1, 3]",
-    "30": "[0, 1, 2, 5, 3, 4]",
-    "31": "[1, 2, 3, 0, 4, 5]",
-    "32": "[2, 3, 4, 1, 5, 0]",
-    "33": "[3, 4, 5, 2, 0, 1]",
-    "34": "[4, 5, 1, 0, 2, 3]",
-    "35": "[5, 1, 2, 0, 3, 4]",
-    "36": "[0, 2, 1, 4, 3, 5]",
-    "37": "[1, 3, 2, 5, 4, 0]",
-    "38": "[2, 4, 3, 0, 5, 1]",
-    "39": "[3, 5, 4, 1, 0, 2]",
-    "40": "[4, 1, 5, 3, 2, 0]",
-    "41": "[5, 2, 1, 4, 3, 0]",
-    "42": "[0, 3, 1, 4, 2, 5]",
-    "43": "[1, 4, 2, 5, 3, 0]",
-    "44": "[2, 5, 3, 0, 4, 1]",
-    "45": "[3, 0, 4, 1, 5, 2]",
-    "46": "[4, 2, 5, 3, 1, 0]",
-    "47": "[5, 3, 1, 4, 2, 0]",
-    "48": "[0, 4, 5, 3, 1, 2]",
-    "49": "[1, 5, 0, 4, 2, 3]",
-    "50": "[2, 0, 1, 5, 3, 4]",
-    "51": "[3, 1, 2, 0, 4, 5]",
-    "52": "[4, 3, 0, 2, 5, 1]",
-    "53": "[5, 4, 0, 3, 1, 2]",
-    "54": "[0, 5, 1, 4, 2, 3]",
-    "55": "[1, 0, 2, 5, 3, 4]",
-    "56": "[2, 1, 3, 0, 4, 5]",
-    "57": "[3, 2, 4, 1, 5, 0]",
-    "58": "[4, 0, 5, 3, 1, 2]",
-    "59": "[5, 0, 1, 4, 2, 3]",
-    "60": "[0, 1, 2, 3, 4, 5]",
-    "61": "[1, 2, 3, 4, 5, 0]",
-    "62": "[2, 3, 4, 5, 0, 1]",
-    "63": "[3, 4, 5, 0, 1, 2]",
-    "64": "[4, 5, 1, 2, 3, 0]",
-    "65": "[5, 1, 2, 3, 4, 0]",
-    "66": "[0, 2, 1, 3, 5, 4]",
-    "67": "[1, 3, 2, 4, 0, 5]",
-    "68": "[2, 4, 3, 5, 1, 0]",
-    "69": "[3, 5, 4, 0, 2, 1]",
-    "70": "[4, 1, 5, 2, 0, 3]",
-    "71": "[5, 2, 1, 3, 0, 4]",
-    "72": "[0, 3, 1, 2, 5, 4]",
-    "73": "[1, 4, 2, 3, 0, 5]",
-    "74": "[2, 5, 3, 4, 1, 0]",
-    "75": "[3, 0, 4, 5, 2, 1]",
-    "76": "[4, 2, 5, 1, 0, 3]",
-    "77": "[5, 3, 1, 2, 0, 4]",
-    "78": "[0, 4, 5, 1, 2, 3]",
-    "79": "[1, 5, 0, 2, 3, 4]",
-    "80": "[2, 0, 1, 3, 4, 5]",
-    "81": "[3, 1, 2, 4, 5, 0]",
-    "82": "[4, 3, 0, 5, 1, 2]",
-    "83": "[5, 4, 0, 1, 2, 3]",
-    "84": "[0, 5, 1, 2, 3, 4]",
-    "85": "[1, 0, 2, 3, 4, 5]",
-    "86": "[2, 1, 3, 4, 5, 0]",
-    "87": "[3, 2, 4, 5, 0, 1]",
-    "88": "[4, 0, 5, 1, 2, 3]",
-    "89": "[5, 0, 1, 2, 3, 4]",
-    "90": "[0, 1, 2, 3, 5, 4]",
-    "91": "[1, 2, 3, 4, 0, 5]",
-    "92": "[2, 3, 4, 5, 1, 0]",
-    "93": "[3, 4, 5, 0, 2, 1]",
-    "94": "[4, 5, 1, 2, 0, 3]",
-    "95": "[5, 1, 2, 3, 0, 4]",
-    "96": "[0, 2, 1, 3, 4, 5]",
-    "97": "[1, 3, 2, 4, 5, 0]",
-    "98": "[2, 4, 3, 5, 0, 1]",
-    "99": "[3, 5, 4, 0, 1, 2]",
-    "100": "[4, 1, 5, 2, 3, 0]",
-    "101": "[5, 2, 1, 3, 4, 0]",
-    "102": "[0, 3, 1, 2, 4, 5]",
-    "103": "[1, 4, 2, 3, 5, 0]",
-    "104": "[2, 5, 3, 4, 0, 1]",
-    "105": "[3, 0, 4, 5, 1, 2]",
-    "106": "[4, 2, 5, 1, 3, 0]",
-    "107": "[5, 3, 1, 2, 4, 0]",
-    "108": "[0, 4, 5, 1, 3, 2]",
-    "109": "[1, 5, 0, 2, 4, 3]",
-    "110": "[2, 0, 1, 3, 5, 4]",
-    "111": "[3, 1, 2, 4, 0, 5]",
-    "112": "[4, 3, 0, 5, 2, 1]",
-    "113": "[5, 4, 0, 1, 3, 2]",
-    "114": "[0, 5, 1, 2, 4, 3]",
-    "115": "[1, 0, 2, 3, 5, 4]",
-    "116": "[2, 1, 3, 4, 0, 5]",
-    "117": "[3, 2, 4, 5, 1, 0]",
-    "118": "[4, 0, 5, 1, 3, 2]",
-    "119": "[5, 0, 1, 2, 4, 3]",
-    "120": "[0, 1, 5, 4, 2, 3]",
-    "121": "[1, 2, 0, 5, 3, 4]",
-    "122": "[2, 3, 1, 0, 4, 5]",
-    "123": "[3, 4, 2, 1, 5, 0]",
-    "124": "[4, 5, 0, 3, 1, 2]",
-    "125": "[5, 1, 0, 4, 2, 3]",
-    "126": "[0, 2, 4, 5, 1, 3]",
-    "127": "[1, 3, 5, 0, 2, 4]",
-    "128": "[2, 4, 0, 1, 3, 5]",
-    "129": "[3, 5, 1, 2, 4, 0]",
-    "130": "[4, 1, 3, 0, 5, 2]",
-    "131": "[5, 2, 4, 0, 1, 3]",
-    "132": "[0, 3, 4, 5, 1, 2]",
-    "133": "[1, 4, 5, 0, 2, 3]",
-    "134": "[2, 5, 0, 1, 3, 4]",
-    "135": "[3, 0, 1, 2, 4, 5]",
-    "136": "[4, 2, 3, 0, 5, 1]",
-    "137": "[5, 3, 4, 0, 1, 2]",
-    "138": "[0, 4, 3, 2, 5, 1]",
-    "139": "[1, 5, 4, 3, 0, 2]",
-    "140": "[2, 0, 5, 4, 1, 3]",
-    "141": "[3, 1, 0, 5, 2, 4]",
-    "142": "[4, 3, 2, 1, 0, 5]",
-    "143": "[5, 4, 3, 2, 0, 1]",
-    "144": "[0, 5, 4, 3, 1, 2]",
-    "145": "[1, 0, 5, 4, 2, 3]",
-    "146": "[2, 1, 0, 5, 3, 4]",
-    "147": "[3, 2, 1, 0, 4, 5]",
-    "148": "[4, 0, 3, 2, 5, 1]",
-    "149": "[5, 0, 4, 3, 1, 2]",
-    "150": "[0, 1, 5, 4, 3, 2]",
-    "151": "[1, 2, 0, 5, 4, 3]",
-    "152": "[2, 3, 1, 0, 5, 4]",
-    "153": "[3, 4, 2, 1, 0, 5]",
-    "154": "[4, 5, 0, 3, 2, 1]",
-    "155": "[5, 1, 0, 4, 3, 2]",
-    "156": "[0, 2, 4, 5, 3, 1]",
-    "157": "[1, 3, 5, 0, 4, 2]",
-    "158": "[2, 4, 0, 1, 5, 3]",
-    "159": "[3, 5, 1, 2, 0, 4]",
-    "160": "[4, 1, 3, 0, 2, 5]",
-    "161": "[5, 2, 4, 0, 3, 1]",
-    "162": "[0, 3, 4, 5, 2, 1]",
-    "163": "[1, 4, 5, 0, 3, 2]",
-    "164": "[2, 5, 0, 1, 4, 3]",
-    "165": "[3, 0, 1, 2, 5, 4]",
-    "166": "[4, 2, 3, 0, 1, 5]",
-    "167": "[5, 3, 4, 0, 2, 1]",
-    "168": "[0, 4, 3, 2, 1, 5]",
-    "169": "[1, 5, 4, 3, 2, 0]",
-    "170": "[2, 0, 5, 4, 3, 1]",
-    "171": "[3, 1, 0, 5, 4, 2]",
-    "172": "[4, 3, 2, 1, 5, 0]",
-    "173": "[5, 4, 3, 2, 1, 0]",
-    "174": "[0, 5, 4, 3, 2, 1]",
-    "175": "[1, 0, 5, 4, 3, 2]",
-    "176": "[2, 1, 0, 5, 4, 3]",
-    "177": "[3, 2, 1, 0, 5, 4]",
-    "178": "[4, 0, 3, 2, 1, 5]",
-    "179": "[5, 0, 4, 3, 2, 1]",
-    "180": "[0, 1, 3, 5, 4, 2]",
-    "181": "[1, 2, 4, 0, 5, 3]",
-    "182": "[2, 3, 5, 1, 0, 4]",
-    "183": "[3, 4, 0, 2, 1, 5]",
-    "184": "[4, 5, 2, 0, 3, 1]",
-    "185": "[5, 1, 3, 0, 4, 2]",
-    "186": "[0, 2, 3, 4, 5, 1]",
-    "187": "[1, 3, 4, 5, 0, 2]",
-    "188": "[2, 4, 5, 0, 1, 3]",
-    "189": "[3, 5, 0, 1, 2, 4]",
-    "190": "[4, 1, 2, 3, 0, 5]",
-    "191": "[5, 2, 3, 4, 0, 1]",
-    "192": "[0, 3, 2, 4, 5, 1]",
-    "193": "[1, 4, 3, 5, 0, 2]",
-    "194": "[2, 5, 4, 0, 1, 3]",
-    "195": "[3, 0, 5, 1, 2, 4]",
-    "196": "[4, 2, 1, 3, 0, 5]",
-    "197": "[5, 3, 2, 4, 0, 1]",
-    "198": "[0, 4, 1, 3, 2, 5]",
-    "199": "[1, 5, 2, 4, 3, 0]",
-    "200": "[2, 0, 3, 5, 4, 1]",
-    "201": "[3, 1, 4, 0, 5, 2]",
-    "202": "[4, 3, 5, 2, 1, 0]",
-    "203": "[5, 4, 1, 3, 2, 0]",
-    "204": "[0, 5, 2, 4, 3, 1]",
-    "205": "[1, 0, 3, 5, 4, 2]",
-    "206": "[2, 1, 4, 0, 5, 3]",
-    "207": "[3, 2, 5, 1, 0, 4]",
-    "208": "[4, 0, 1, 3, 2, 5]",
-    "209": "[5, 0, 2, 4, 3, 1]",
-    "210": "[0, 1, 3, 4, 5, 2]",
-    "211": "[1, 2, 4, 5, 0, 3]",
-    "212": "[2, 3, 5, 0, 1, 4]",
-    "213": "[3, 4, 0, 1, 2, 5]",
-    "214": "[4, 5, 2, 3, 0, 1]",
-    "215": "[5, 1, 3, 4, 0, 2]",
-    "216": "[0, 2, 3, 5, 4, 1]",
-    "217": "[1, 3, 4, 0, 5, 2]",
-    "218": "[2, 4, 5, 1, 0, 3]",
-    "219": "[3, 5, 0, 2, 1, 4]",
-    "220": "[4, 1, 2, 0, 3, 5]",
-    "221": "[5, 2, 3, 0, 4, 1]",
-    "222": "[0, 3, 2, 5, 4, 1]",
-    "223": "[1, 4, 3, 0, 5, 2]",
-    "224": "[2, 5, 4, 1, 0, 3]",
-    "225": "[3, 0, 5, 2, 1, 4]",
-    "226": "[4, 2, 1, 0, 3, 5]",
-    "227": "[5, 3, 2, 0, 4, 1]",
-    "228": "[0, 4, 1, 2, 3, 5]",
-    "229": "[1, 5, 2, 3, 4, 0]",
-    "230": "[2, 0, 3, 4, 5, 1]",
-    "231": "[3, 1, 4, 5, 0, 2]",
-    "232": "[4, 3, 5, 1, 2, 0]",
-    "233": "[5, 4, 1, 2, 3, 0]",
-    "234": "[0, 5, 2, 3, 4, 1]",
-    "235": "[1, 0, 3, 4, 5, 2]",
-    "236": "[2, 1, 4, 5, 0, 3]",
-    "237": "[3, 2, 5, 0, 1, 4]",
-    "238": "[4, 0, 1, 2, 3, 5]",
-    "239": "[5, 0, 2, 3, 4, 1]",
-    "240": "[0, 1, 4, 3, 2, 5]",
-    "241": "[1, 2, 5, 4, 3, 0]",
-    "242": "[2, 3, 0, 5, 4, 1]",
-    "243": "[3, 4, 1, 0, 5, 2]",
-    "244": "[4, 5, 3, 2, 1, 0]",
-    "245": "[5, 1, 4, 3, 2, 0]",
-    "246": "[0, 2, 5, 3, 1, 4]",
-    "247": "[1, 3, 0, 4, 2, 5]",
-    "248": "[2, 4, 1, 5, 3, 0]",
-    "249": "[3, 5, 2, 0, 4, 1]",
-    "250": "[4, 1, 0, 2, 5, 3]",
-    "251": "[5, 2, 0, 3, 1, 4]",
-    "252": "[0, 3, 5, 2, 1, 4]",
-    "253": "[1, 4, 0, 3, 2, 5]",
-    "254": "[2, 5, 1, 4, 3, 0]",
-    "255": "[3, 0, 2, 5, 4, 1]",
-    "256": "[4, 2, 0, 1, 5, 3]",
-    "257": "[5, 3, 0, 2, 1, 4]",
-    "258": "[0, 4, 2, 1, 5, 3]",
-    "259": "[1, 5, 3, 2, 0, 4]",
-    "260": "[2, 0, 4, 3, 1, 5]",
-    "261": "[3, 1, 5, 4, 2, 0]",
-    "262": "[4, 3, 1, 5, 0, 2]",
-    "263": "[5, 4, 2, 1, 0, 3]",
-    "264": "[0, 5, 3, 2, 1, 4]",
-    "265": "[1, 0, 4, 3, 2, 5]",
-    "266": "[2, 1, 5, 4, 3, 0]",
-    "267": "[3, 2, 0, 5, 4, 1]",
-    "268": "[4, 0, 2, 1, 5, 3]",
-    "269": "[5, 0, 3, 2, 1, 4]",
-    "270": "[0, 1, 4, 2, 3, 5]",
-    "271": "[1, 2, 5, 3, 4, 0]",
-    "272": "[2, 3, 0, 4, 5, 1]",
-    "273": "[3, 4, 1, 5, 0, 2]",
-    "274": "[4, 5, 3, 1, 2, 0]",
-    "275": "[5, 1, 4, 2, 3, 0]",
-    "276": "[0, 2, 5, 1, 3, 4]",
-    "277": "[1, 3, 0, 2, 4, 5]",
-    "278": "[2, 4, 1, 3, 5, 0]",
-    "279": "[3, 5, 2, 4, 0, 1]",
-    "280": "[4, 1, 0, 5, 2, 3]",
-    "281": "[5, 2, 0, 1, 3, 4]",
-    "282": "[0, 3, 5, 1, 2, 4]",
-    "283": "[1, 4, 0, 2, 3, 5]",
-    "284": "[2, 5, 1, 3, 4, 0]",
-    "285": "[3, 0, 2, 4, 5, 1]",
-    "286": "[4, 2, 0, 5, 1, 3]",
-    "287": "[5, 3, 0, 1, 2, 4]",
-    "288": "[0, 4, 2, 5, 1, 3]",
-    "289": "[1, 5, 3, 0, 2, 4]",
-    "290": "[2, 0, 4, 1, 3, 5]",
-    "291": "[3, 1, 5, 2, 4, 0]",
-    "292": "[4, 3, 1, 0, 5, 2]",
-    "293": "[5, 4, 2, 0, 1, 3]",
-    "294": "[0, 5, 3, 1, 2, 4]",
-    "295": "[1, 0, 4, 2, 3, 5]",
-    "296": "[2, 1, 5, 3, 4, 0]",
-    "297": "[3, 2, 0, 4, 5, 1]",
-    "298": "[4, 0, 2, 5, 1, 3]",
-    "299": "[5, 0, 3, 1, 2, 4]",
-    "300": "[0, 1, 5, 2, 4, 3]",
-    "301": "[1, 2, 0, 3, 5, 4]",
-    "302": "[2, 3, 1, 4, 0, 5]",
-    "303": "[3, 4, 2, 5, 1, 0]",
-    "304": "[4, 5, 0, 1, 3, 2]",
-    "305": "[5, 1, 0, 2, 4, 3]",
-    "306": "[0, 2, 4, 1, 5, 3]",
-    "307": "[1, 3, 5, 2, 0, 4]",
-    "308": "[2, 4, 0, 3, 1, 5]",
-    "309": "[3, 5, 1, 4, 2, 0]",
-    "310": "[4, 1, 3, 5, 0, 2]",
-    "311": "[5, 2, 4, 1, 0, 3]",
-    "312": "[0, 3, 4, 1, 5, 2]",
-    "313": "[1, 4, 5, 2, 0, 3]",
-    "314": "[2, 5, 0, 3, 1, 4]",
-    "315": "[3, 0, 1, 4, 2, 5]",
-    "316": "[4, 2, 3, 5, 0, 1]",
-    "317": "[5, 3, 4, 1, 0, 2]",
-    "318": "[0, 4, 3, 5, 2, 1]",
-    "319": "[1, 5, 4, 0, 3, 2]",
-    "320": "[2, 0, 5, 1, 4, 3]",
-    "321": "[3, 1, 0, 2, 5, 4]",
-    "322": "[4, 3, 2, 0, 1, 5]",
-    "323": "[5, 4, 3, 0, 2, 1]",
-    "324": "[0, 5, 4, 1, 3, 2]",
-    "325": "[1, 0, 5, 2, 4, 3]",
-    "326": "[2, 1, 0, 3, 5, 4]",
-    "327": "[3, 2, 1, 4, 0, 5]",
-    "328": "[4, 0, 3, 5, 2, 1]",
-    "329": "[5, 0, 4, 1, 3, 2]",
-    "330": "[0, 1, 4, 2, 5, 3]",
-    "331": "[1, 2, 5, 3, 0, 4]",
-    "332": "[2, 3, 0, 4, 1, 5]",
-    "333": "[3, 4, 1, 5, 2, 0]",
-    "334": "[4, 5, 3, 1, 0, 2]",
-    "335": "[5, 1, 4, 2, 0, 3]",
-    "336": "[0, 2, 5, 1, 4, 3]",
-    "337": "[1, 3, 0, 2, 5, 4]",
-    "338": "[2, 4, 1, 3, 0, 5]",
-    "339": "[3, 5, 2, 4, 1, 0]",
-    "340": "[4, 1, 0, 5, 3, 2]",
-    "341": "[5, 2, 0, 1, 4, 3]",
-    "342": "[0, 3, 5, 1, 4, 2]",
-    "343": "[1, 4, 0, 2, 5, 3]",
-    "344": "[2, 5, 1, 3, 0, 4]",
-    "345": "[3, 0, 2, 4, 1, 5]",
-    "346": "[4, 2, 0, 5, 3, 1]",
-    "347": "[5, 3, 0, 1, 4, 2]",
-    "348": "[0, 4, 2, 5, 3, 1]",
-    "349": "[1, 5, 3, 0, 4, 2]",
-    "350": "[2, 0, 4, 1, 5, 3]",
-    "351": "[3, 1, 5, 2, 0, 4]",
-    "352": "[4, 3, 1, 0, 2, 5]",
-    "353": "[5, 4, 2, 0, 3, 1]",
-    "354": "[0, 5, 3, 1, 4, 2]",
-    "355": "[1, 0, 4, 2, 5, 3]",
-    "356": "[2, 1, 5, 3, 0, 4]",
-    "357": "[3, 2, 0, 4, 1, 5]",
-    "358": "[4, 0, 2, 5, 3, 1]",
-    "359": "[5, 0, 3, 1, 4, 2]",
-    "360": "[0, 1, 3, 4, 2, 5]",
-    "361": "[1, 2, 4, 5, 3, 0]",
-    "362": "[2, 3, 5, 0, 4, 1]",
-    "363": "[3, 4, 0, 1, 5, 2]",
-    "364": "[4, 5, 2, 3, 1, 0]",
-    "365": "[5, 1, 3, 4, 2, 0]",
-    "366": "[0, 2, 3, 5, 1, 4]",
-    "367": "[1, 3, 4, 0, 2, 5]",
-    "368": "[2, 4, 5, 1, 3, 0]",
-    "369": "[3, 5, 0, 2, 4, 1]",
-    "370": "[4, 1, 2, 0, 5, 3]",
-    "371": "[5, 2, 3, 0, 1, 4]",
-    "372": "[0, 3, 2, 5, 1, 4]",
-    "373": "[1, 4, 3, 0, 2, 5]",
-    "374": "[2, 5, 4, 1, 3, 0]",
-    "375": "[3, 0, 5, 2, 4, 1]",
-    "376": "[4, 2, 1, 0, 5, 3]",
-    "377": "[5, 3, 2, 0, 1, 4]",
-    "378": "[0, 4, 1, 2, 5, 3]",
-    "379": "[1, 5, 2, 3, 0, 4]",
-    "380": "[2, 0, 3, 4, 1, 5]",
-    "381": "[3, 1, 4, 5, 2, 0]",
-    "382": "[4, 3, 5, 1, 0, 2]",
-    "383": "[5, 4, 1, 2, 0, 3]",
-    "384": "[0, 5, 2, 3, 1, 4]",
-    "385": "[1, 0, 3, 4, 2, 5]",
-    "386": "[2, 1, 4, 5, 3, 0]",
-    "387": "[3, 2, 5, 0, 4, 1]",
-    "388": "[4, 0, 1, 2, 5, 3]",
-    "389": "[5, 0, 2, 3, 1, 4]",
-    "390": "[0, 1, 2, 4, 3, 5]",
-    "391": "[1, 2, 3, 5, 4, 0]",
-    "392": "[2, 3, 4, 0, 5, 1]",
-    "393": "[3, 4, 5, 1, 0, 2]",
-    "394": "[4, 5, 1, 3, 2, 0]",
-    "395": "[5, 1, 2, 4, 3, 0]",
-    "396": "[0, 2, 1, 5, 3, 4]",
-    "397": "[1, 3, 2, 0, 4, 5]",
-    "398": "[2, 4, 3, 1, 5, 0]",
-    "399": "[3, 5, 4, 2, 0, 1]",
-    "400": "[4, 1, 5, 0, 2, 3]",
-    "401": "[5, 2, 1, 0, 3, 4]",
-    "402": "[0, 3, 1, 5, 2, 4]",
-    "403": "[1, 4, 2, 0, 3, 5]",
-    "404": "[2, 5, 3, 1, 4, 0]",
-    "405": "[3, 0, 4, 2, 5, 1]",
-    "406": "[4, 2, 5, 0, 1, 3]",
-    "407": "[5, 3, 1, 0, 2, 4]",
-    "408": "[0, 4, 5, 2, 1, 3]",
-    "409": "[1, 5, 0, 3, 2, 4]",
-    "410": "[2, 0, 1, 4, 3, 5]",
-    "411": "[3, 1, 2, 5, 4, 0]",
-    "412": "[4, 3, 0, 1, 5, 2]",
-    "413": "[5, 4, 0, 2, 1, 3]",
-    "414": "[0, 5, 1, 3, 2, 4]",
-    "415": "[1, 0, 2, 4, 3, 5]",
-    "416": "[2, 1, 3, 5, 4, 0]",
-    "417": "[3, 2, 4, 0, 5, 1]",
-    "418": "[4, 0, 5, 2, 1, 3]",
-    "419": "[5, 0, 1, 3, 2, 4]",
-    "420": "[0, 1, 2, 5, 4, 3]",
-    "421": "[1, 2, 3, 0, 5, 4]",
-    "422": "[2, 3, 4, 1, 0, 5]",
-    "423": "[3, 4, 5, 2, 1, 0]",
-    "424": "[4, 5, 1, 0, 3, 2]",
-    "425": "[5, 1, 2, 0, 4, 3]",
-    "426": "[0, 2, 1, 4, 5, 3]",
-    "427": "[1, 3, 2, 5, 0, 4]",
-    "428": "[2, 4, 3, 0, 1, 5]",
-    "429": "[3, 5, 4, 1, 2, 0]",
-    "430": "[4, 1, 5, 3, 0, 2]",
-    "431": "[5, 2, 1, 4, 0, 3]",
-    "432": "[0, 3, 1, 4, 5, 2]",
-    "433": "[1, 4, 2, 5, 0, 3]",
-    "434": "[2, 5, 3, 0, 1, 4]",
-    "435": "[3, 0, 4, 1, 2, 5]",
-    "436": "[4, 2, 5, 3, 0, 1]",
-    "437": "[5, 3, 1, 4, 0, 2]",
-    "438": "[0, 4, 5, 3, 2, 1]",
-    "439": "[1, 5, 0, 4, 3, 2]",
-    "440": "[2, 0, 1, 5, 4, 3]",
-    "441": "[3, 1, 2, 0, 5, 4]",
-    "442": "[4, 3, 0, 2, 1, 5]",
-    "443": "[5, 4, 0, 3, 2, 1]",
-    "444": "[0, 5, 1, 4, 3, 2]",
-    "445": "[1, 0, 2, 5, 4, 3]",
-    "446": "[2, 1, 3, 0, 5, 4]",
-    "447": "[3, 2, 4, 1, 0, 5]",
-    "448": "[4, 0, 5, 3, 2, 1]",
-    "449": "[5, 0, 1, 4, 3, 2]",
-    "450": "[0, 1, 2, 4, 5, 3]",
-    "451": "[1, 2, 3, 5, 0, 4]",
-    "452": "[2, 3, 4, 0, 1, 5]",
-    "453": "[3, 4, 5, 1, 2, 0]",
-    "454": "[4, 5, 1, 3, 0, 2]",
-    "455": "[5, 1, 2, 4, 0, 3]",
-    "456": "[0, 2, 1, 5, 4, 3]",
-    "457": "[1, 3, 2, 0, 5, 4]",
-    "458": "[2, 4, 3, 1, 0, 5]",
-    "459": "[3, 5, 4, 2, 1, 0]",
-    "460": "[4, 1, 5, 0, 3, 2]",
-    "461": "[5, 2, 1, 0, 4, 3]",
-    "462": "[0, 3, 1, 5, 4, 2]",
-    "463": "[1, 4, 2, 0, 5, 3]",
-    "464": "[2, 5, 3, 1, 0, 4]",
-    "465": "[3, 0, 4, 2, 1, 5]",
-    "466": "[4, 2, 5, 0, 3, 1]",
-    "467": "[5, 3, 1, 0, 4, 2]",
-    "468": "[0, 4, 5, 2, 3, 1]",
-    "469": "[1, 5, 0, 3, 4, 2]",
-    "470": "[2, 0, 1, 4, 5, 3]",
-    "471": "[3, 1, 2, 5, 0, 4]",
-    "472": "[4, 3, 0, 1, 2, 5]",
-    "473": "[5, 4, 0, 2, 3, 1]",
-    "474": "[0, 5, 1, 3, 4, 2]",
-    "475": "[1, 0, 2, 4, 5, 3]",
-    "476": "[2, 1, 3, 5, 0, 4]",
-    "477": "[3, 2, 4, 0, 1, 5]",
-    "478": "[4, 0, 5, 2, 3, 1]",
-    "479": "[5, 0, 1, 3, 4, 2]",
-    "480": "[0, 1, 5, 3, 2, 4]",
-    "481": "[1, 2, 0, 4, 3, 5]",
-    "482": "[2, 3, 1, 5, 4, 0]",
-    "483": "[3, 4, 2, 0, 5, 1]",
-    "484": "[4, 5, 0, 2, 1, 3]",
-    "485": "[5, 1, 0, 3, 2, 4]",
-    "486": "[0, 2, 4, 3, 1, 5]",
-    "487": "[1, 3, 5, 4, 2, 0]",
-    "488": "[2, 4, 0, 5, 3, 1]",
-    "489": "[3, 5, 1, 0, 4, 2]",
-    "490": "[4, 1, 3, 2, 5, 0]",
-    "491": "[5, 2, 4, 3, 1, 0]",
-    "492": "[0, 3, 4, 2, 1, 5]",
-    "493": "[1, 4, 5, 3, 2, 0]",
-    "494": "[2, 5, 0, 4, 3, 1]",
-    "495": "[3, 0, 1, 5, 4, 2]",
-    "496": "[4, 2, 3, 1, 5, 0]",
-    "497": "[5, 3, 4, 2, 1, 0]",
-    "498": "[0, 4, 3, 1, 5, 2]",
-    "499": "[1, 5, 4, 2, 0, 3]",
-    "500": "[2, 0, 5, 3, 1, 4]",
-    "501": "[3, 1, 0, 4, 2, 5]",
-    "502": "[4, 3, 2, 5, 0, 1]",
-    "503": "[5, 4, 3, 1, 0, 2]",
-    "504": "[0, 5, 4, 2, 1, 3]",
-    "505": "[1, 0, 5, 3, 2, 4]",
-    "506": "[2, 1, 0, 4, 3, 5]",
-    "507": "[3, 2, 1, 5, 4, 0]",
-    "508": "[4, 0, 3, 1, 5, 2]",
-    "509": "[5, 0, 4, 2, 1, 3]",
-    "510": "[0, 1, 5, 2, 3, 4]",
-    "511": "[1, 2, 0, 3, 4, 5]",
-    "512": "[2, 3, 1, 4, 5, 0]",
-    "513": "[3, 4, 2, 5, 0, 1]",
-    "514": "[4, 5, 0, 1, 2, 3]",
-    "515": "[5, 1, 0, 2, 3, 4]",
-    "516": "[0, 2, 4, 1, 3, 5]",
-    "517": "[1, 3, 5, 2, 4, 0]",
-    "518": "[2, 4, 0, 3, 5, 1]",
-    "519": "[3, 5, 1, 4, 0, 2]",
-    "520": "[4, 1, 3, 5, 2, 0]",
-    "521": "[5, 2, 4, 1, 3, 0]",
-    "522": "[0, 3, 4, 1, 2, 5]",
-    "523": "[1, 4, 5, 2, 3, 0]",
-    "524": "[2, 5, 0, 3, 4, 1]",
-    "525": "[3, 0, 1, 4, 5, 2]",
-    "526": "[4, 2, 3, 5, 1, 0]",
-    "527": "[5, 3, 4, 1, 2, 0]",
-    "528": "[0, 4, 3, 5, 1, 2]",
-    "529": "[1, 5, 4, 0, 2, 3]",
-    "530": "[2, 0, 5, 1, 3, 4]",
-    "531": "[3, 1, 0, 2, 4, 5]",
-    "532": "[4, 3, 2, 0, 5, 1]",
-    "533": "[5, 4, 3, 0, 1, 2]",
-    "534": "[0, 5, 4, 1, 2, 3]",
-    "535": "[1, 0, 5, 2, 3, 4]",
-    "536": "[2, 1, 0, 3, 4, 5]",
-    "537": "[3, 2, 1, 4, 5, 0]",
-    "538": "[4, 0, 3, 5, 1, 2]",
-    "539": "[5, 0, 4, 1, 2, 3]",
-    "540": "[0, 1, 3, 2, 4, 5]",
-    "541": "[1, 2, 4, 3, 5, 0]",
-    "542": "[2, 3, 5, 4, 0, 1]",
-    "543": "[3, 4, 0, 5, 1, 2]",
-    "544": "[4, 5, 2, 1, 3, 0]",
-    "545": "[5, 1, 3, 2, 4, 0]",
-    "546": "[0, 2, 3, 1, 5, 4]",
-    "547": "[1, 3, 4, 2, 0, 5]",
-    "548": "[2, 4, 5, 3, 1, 0]",
-    "549": "[3, 5, 0, 4, 2, 1]",
-    "550": "[4, 1, 2, 5, 0, 3]",
-    "551": "[5, 2, 3, 1, 0, 4]",
-    "552": "[0, 3, 2, 1, 5, 4]",
-    "553": "[1, 4, 3, 2, 0, 5]",
-    "554": "[2, 5, 4, 3, 1, 0]",
-    "555": "[3, 0, 5, 4, 2, 1]",
-    "556": "[4, 2, 1, 5, 0, 3]",
-    "557": "[5, 3, 2, 1, 0, 4]",
-    "558": "[0, 4, 1, 5, 2, 3]",
-    "559": "[1, 5, 2, 0, 3, 4]",
-    "560": "[2, 0, 3, 1, 4, 5]",
-    "561": "[3, 1, 4, 2, 5, 0]",
-    "562": "[4, 3, 5, 0, 1, 2]",
-    "563": "[5, 4, 1, 0, 2, 3]",
-    "564": "[0, 5, 2, 1, 3, 4]",
-    "565": "[1, 0, 3, 2, 4, 5]",
-    "566": "[2, 1, 4, 3, 5, 0]",
-    "567": "[3, 2, 5, 4, 0, 1]",
-    "568": "[4, 0, 1, 5, 2, 3]",
-    "569": "[5, 0, 2, 1, 3, 4]",
-    "570": "[0, 1, 3, 2, 5, 4]",
-    "571": "[1, 2, 4, 3, 0, 5]",
-    "572": "[2, 3, 5, 4, 1, 0]",
-    "573": "[3, 4, 0, 5, 2, 1]",
-    "574": "[4, 5, 2, 1, 0, 3]",
-    "575": "[5, 1, 3, 2, 0, 4]",
-    "576": "[0, 2, 3, 1, 4, 5]",
-    "577": "[1, 3, 4, 2, 5, 0]",
-    "578": "[2, 4, 5, 3, 0, 1]",
-    "579": "[3, 5, 0, 4, 1, 2]",
-    "580": "[4, 1, 2, 5, 3, 0]",
-    "581": "[5, 2, 3, 1, 4, 0]",
-    "582": "[0, 3, 2, 1, 4, 5]",
-    "583": "[1, 4, 3, 2, 5, 0]",
-    "584": "[2, 5, 4, 3, 0, 1]",
-    "585": "[3, 0, 5, 4, 1, 2]",
-    "586": "[4, 2, 1, 5, 3, 0]",
-    "587": "[5, 3, 2, 1, 4, 0]",
-    "588": "[0, 4, 1, 5, 3, 2]",
-    "589": "[1, 5, 2, 0, 4, 3]",
-    "590": "[2, 0, 3, 1, 5, 4]",
-    "591": "[3, 1, 4, 2, 0, 5]",
-    "592": "[4, 3, 5, 0, 2, 1]",
-    "593": "[5, 4, 1, 0, 3, 2]",
-    "594": "[0, 5, 2, 1, 4, 3]",
-    "595": "[1, 0, 3, 2, 5, 4]",
-    "596": "[2, 1, 4, 3, 0, 5]",
-    "597": "[3, 2, 5, 4, 1, 0]",
-    "598": "[4, 0, 1, 5, 3, 2]",
-    "599": "[5, 0, 2, 1, 4, 3]",
-    "600": "[0, 1, 4, 5, 2, 3]",
-    "601": "[1, 2, 5, 0, 3, 4]",
-    "602": "[2, 3, 0, 1, 4, 5]",
-    "603": "[3, 4, 1, 2, 5, 0]",
-    "604": "[4, 5, 3, 0, 1, 2]",
-    "605": "[5, 1, 4, 0, 2, 3]",
-    "606": "[0, 2, 5, 4, 1, 3]",
-    "607": "[1, 3, 0, 5, 2, 4]",
-    "608": "[2, 4, 1, 0, 3, 5]",
-    "609": "[3, 5, 2, 1, 4, 0]",
-    "610": "[4, 1, 0, 3, 5, 2]",
-    "611": "[5, 2, 0, 4, 1, 3]",
-    "612": "[0, 3, 5, 4, 1, 2]",
-    "613": "[1, 4, 0, 5, 2, 3]",
-    "614": "[2, 5, 1, 0, 3, 4]",
-    "615": "[3, 0, 2, 1, 4, 5]",
-    "616": "[4, 2, 0, 3, 5, 1]",
-    "617": "[5, 3, 0, 4, 1, 2]",
-    "618": "[0, 4, 2, 3, 5, 1]",
-    "619": "[1, 5, 3, 4, 0, 2]",
-    "620": "[2, 0, 4, 5, 1, 3]",
-    "621": "[3, 1, 5, 0, 2, 4]",
-    "622": "[4, 3, 1, 2, 0, 5]",
-    "623": "[5, 4, 2, 3, 0, 1]",
-    "624": "[0, 5, 3, 4, 1, 2]",
-    "625": "[1, 0, 4, 5, 2, 3]",
-    "626": "[2, 1, 5, 0, 3, 4]",
-    "627": "[3, 2, 0, 1, 4, 5]",
-    "628": "[4, 0, 2, 3, 5, 1]",
-    "629": "[5, 0, 3, 4, 1, 2]",
-    "630": "[0, 1, 4, 5, 3, 2]",
-    "631": "[1, 2, 5, 0, 4, 3]",
-    "632": "[2, 3, 0, 1, 5, 4]",
-    "633": "[3, 4, 1, 2, 0, 5]",
-    "634": "[4, 5, 3, 0, 2, 1]",
-    "635": "[5, 1, 4, 0, 3, 2]",
-    "636": "[0, 2, 5, 4, 3, 1]",
-    "637": "[1, 3, 0, 5, 4, 2]",
-    "638": "[2, 4, 1, 0, 5, 3]",
-    "639": "[3, 5, 2, 1, 0, 4]",
-    "640": "[4, 1, 0, 3, 2, 5]",
-    "641": "[5, 2, 0, 4, 3, 1]",
-    "642": "[0, 3, 5, 4, 2, 1]",
-    "643": "[1, 4, 0, 5, 3, 2]",
-    "644": "[2, 5, 1, 0, 4, 3]",
-    "645": "[3, 0, 2, 1, 5, 4]",
-    "646": "[4, 2, 0, 3, 1, 5]",
-    "647": "[5, 3, 0, 4, 2, 1]",
-    "648": "[0, 4, 2, 3, 1, 5]",
-    "649": "[1, 5, 3, 4, 2, 0]",
-    "650": "[2, 0, 4, 5, 3, 1]",
-    "651": "[3, 1, 5, 0, 4, 2]",
-    "652": "[4, 3, 1, 2, 5, 0]",
-    "653": "[5, 4, 2, 3, 1, 0]",
-    "654": "[0, 5, 3, 4, 2, 1]",
-    "655": "[1, 0, 4, 5, 3, 2]",
-    "656": "[2, 1, 5, 0, 4, 3]",
-    "657": "[3, 2, 0, 1, 5, 4]",
-    "658": "[4, 0, 2, 3, 1, 5]",
-    "659": "[5, 0, 3, 4, 2, 1]",
-    "660": "[0, 1, 5, 3, 4, 2]",
-    "661": "[1, 2, 0, 4, 5, 3]",
-    "662": "[2, 3, 1, 5, 0, 4]",
-    "663": "[3, 4, 2, 0, 1, 5]",
-    "664": "[4, 5, 0, 2, 3, 1]",
-    "665": "[5, 1, 0, 3, 4, 2]",
-    "666": "[0, 2, 4, 3, 5, 1]",
-    "667": "[1, 3, 5, 4, 0, 2]",
-    "668": "[2, 4, 0, 5, 1, 3]",
-    "669": "[3, 5, 1, 0, 2, 4]",
-    "670": "[4, 1, 3, 2, 0, 5]",
-    "671": "[5, 2, 4, 3, 0, 1]",
-    "672": "[0, 3, 4, 2, 5, 1]",
-    "673": "[1, 4, 5, 3, 0, 2]",
-    "674": "[2, 5, 0, 4, 1, 3]",
-    "675": "[3, 0, 1, 5, 2, 4]",
-    "676": "[4, 2, 3, 1, 0, 5]",
-    "677": "[5, 3, 4, 2, 0, 1]",
-    "678": "[0, 4, 3, 1, 2, 5]",
-    "679": "[1, 5, 4, 2, 3, 0]",
-    "680": "[2, 0, 5, 3, 4, 1]",
-    "681": "[3, 1, 0, 4, 5, 2]",
-    "682": "[4, 3, 2, 5, 1, 0]",
-    "683": "[5, 4, 3, 1, 2, 0]",
-    "684": "[0, 5, 4, 2, 3, 1]",
-    "685": "[1, 0, 5, 3, 4, 2]",
-    "686": "[2, 1, 0, 4, 5, 3]",
-    "687": "[3, 2, 1, 5, 0, 4]",
-    "688": "[4, 0, 3, 1, 2, 5]",
-    "689": "[5, 0, 4, 2, 3, 1]",
-    "690": "[0, 1, 4, 3, 5, 2]",
-    "691": "[1, 2, 5, 4, 0, 3]",
-    "692": "[2, 3, 0, 5, 1, 4]",
-    "693": "[3, 4, 1, 0, 2, 5]",
-    "694": "[4, 5, 3, 2, 0, 1]",
-    "695": "[5, 1, 4, 3, 0, 2]",
-    "696": "[0, 2, 5, 3, 4, 1]",
-    "697": "[1, 3, 0, 4, 5, 2]",
-    "698": "[2, 4, 1, 5, 0, 3]",
-    "699": "[3, 5, 2, 0, 1, 4]",
-    "700": "[4, 1, 0, 2, 3, 5]",
-    "701": "[5, 2, 0, 3, 4, 1]",
-    "702": "[0, 3, 5, 2, 4, 1]",
-    "703": "[1, 4, 0, 3, 5, 2]",
-    "704": "[2, 5, 1, 4, 0, 3]",
-    "705": "[3, 0, 2, 5, 1, 4]",
-    "706": "[4, 2, 0, 1, 3, 5]",
-    "707": "[5, 3, 0, 2, 4, 1]",
-    "708": "[0, 4, 2, 1, 3, 5]",
-    "709": "[1, 5, 3, 2, 4, 0]",
-    "710": "[2, 0, 4, 3, 5, 1]",
-    "711": "[3, 1, 5, 4, 0, 2]",
-    "712": "[4, 3, 1, 5, 2, 0]",
-    "713": "[5, 4, 2, 1, 3, 0]",
-    "714": "[0, 5, 3, 2, 4, 1]",
-    "715": "[1, 0, 4, 3, 5, 2]",
-    "716": "[2, 1, 5, 4, 0, 3]",
-    "717": "[3, 2, 0, 5, 1, 4]",
-    "718": "[4, 0, 2, 1, 3, 5]",
-    "719": "[5, 0, 3, 2, 4, 1]"
 }

 {
+  "0": "[0, 1, 3, 5, 2, 4]",
+  "1": "[1, 2, 4, 0, 3, 5]",
+  "2": "[2, 3, 5, 1, 4, 0]",
+  "3": "[3, 4, 0, 2, 5, 1]",
+  "4": "[4, 5, 2, 0, 1, 3]",
+  "5": "[5, 1, 3, 0, 2, 4]",
+  "6": "[0, 2, 3, 4, 1, 5]",
+  "7": "[1, 3, 4, 5, 2, 0]",
+  "8": "[2, 4, 5, 0, 3, 1]",
+  "9": "[3, 5, 0, 1, 4, 2]",
+  "10": "[4, 1, 2, 3, 5, 0]",
+  "11": "[5, 2, 3, 4, 1, 0]",
+  "12": "[0, 3, 2, 4, 1, 5]",
+  "13": "[1, 4, 3, 5, 2, 0]",
+  "14": "[2, 5, 4, 0, 3, 1]",
+  "15": "[3, 0, 5, 1, 4, 2]",
+  "16": "[4, 2, 1, 3, 5, 0]",
+  "17": "[5, 3, 2, 4, 1, 0]",
+  "18": "[0, 4, 1, 3, 5, 2]",
+  "19": "[1, 5, 2, 4, 0, 3]",
+  "20": "[2, 0, 3, 5, 1, 4]",
+  "21": "[3, 1, 4, 0, 2, 5]",
+  "22": "[4, 3, 5, 2, 0, 1]",
+  "23": "[5, 4, 1, 3, 0, 2]",
+  "24": "[0, 5, 2, 4, 1, 3]",
+  "25": "[1, 0, 3, 5, 2, 4]",
+  "26": "[2, 1, 4, 0, 3, 5]",
+  "27": "[3, 2, 5, 1, 4, 0]",
+  "28": "[4, 0, 1, 3, 5, 2]",
+  "29": "[5, 0, 2, 4, 1, 3]",
+  "30": "[0, 1, 2, 5, 3, 4]",
+  "31": "[1, 2, 3, 0, 4, 5]",
+  "32": "[2, 3, 4, 1, 5, 0]",
+  "33": "[3, 4, 5, 2, 0, 1]",
+  "34": "[4, 5, 1, 0, 2, 3]",
+  "35": "[5, 1, 2, 0, 3, 4]",
+  "36": "[0, 2, 1, 4, 3, 5]",
+  "37": "[1, 3, 2, 5, 4, 0]",
+  "38": "[2, 4, 3, 0, 5, 1]",
+  "39": "[3, 5, 4, 1, 0, 2]",
+  "40": "[4, 1, 5, 3, 2, 0]",
+  "41": "[5, 2, 1, 4, 3, 0]",
+  "42": "[0, 3, 1, 4, 2, 5]",
+  "43": "[1, 4, 2, 5, 3, 0]",
+  "44": "[2, 5, 3, 0, 4, 1]",
+  "45": "[3, 0, 4, 1, 5, 2]",
+  "46": "[4, 2, 5, 3, 1, 0]",
+  "47": "[5, 3, 1, 4, 2, 0]",
+  "48": "[0, 4, 5, 3, 1, 2]",
+  "49": "[1, 5, 0, 4, 2, 3]",
+  "50": "[2, 0, 1, 5, 3, 4]",
+  "51": "[3, 1, 2, 0, 4, 5]",
+  "52": "[4, 3, 0, 2, 5, 1]",
+  "53": "[5, 4, 0, 3, 1, 2]",
+  "54": "[0, 5, 1, 4, 2, 3]",
+  "55": "[1, 0, 2, 5, 3, 4]",
+  "56": "[2, 1, 3, 0, 4, 5]",
+  "57": "[3, 2, 4, 1, 5, 0]",
+  "58": "[4, 0, 5, 3, 1, 2]",
+  "59": "[5, 0, 1, 4, 2, 3]",
+  "60": "[0, 1, 2, 3, 4, 5]",
+  "61": "[1, 2, 3, 4, 5, 0]",
+  "62": "[2, 3, 4, 5, 0, 1]",
+  "63": "[3, 4, 5, 0, 1, 2]",
+  "64": "[4, 5, 1, 2, 3, 0]",
+  "65": "[5, 1, 2, 3, 4, 0]",
+  "66": "[0, 2, 1, 3, 5, 4]",
+  "67": "[1, 3, 2, 4, 0, 5]",
+  "68": "[2, 4, 3, 5, 1, 0]",
+  "69": "[3, 5, 4, 0, 2, 1]",
+  "70": "[4, 1, 5, 2, 0, 3]",
+  "71": "[5, 2, 1, 3, 0, 4]",
+  "72": "[0, 3, 1, 2, 5, 4]",
+  "73": "[1, 4, 2, 3, 0, 5]",
+  "74": "[2, 5, 3, 4, 1, 0]",
+  "75": "[3, 0, 4, 5, 2, 1]",
+  "76": "[4, 2, 5, 1, 0, 3]",
+  "77": "[5, 3, 1, 2, 0, 4]",
+  "78": "[0, 4, 5, 1, 2, 3]",
+  "79": "[1, 5, 0, 2, 3, 4]",
+  "80": "[2, 0, 1, 3, 4, 5]",
+  "81": "[3, 1, 2, 4, 5, 0]",
+  "82": "[4, 3, 0, 5, 1, 2]",
+  "83": "[5, 4, 0, 1, 2, 3]",
+  "84": "[0, 5, 1, 2, 3, 4]",
+  "85": "[1, 0, 2, 3, 4, 5]",
+  "86": "[2, 1, 3, 4, 5, 0]",
+  "87": "[3, 2, 4, 5, 0, 1]",
+  "88": "[4, 0, 5, 1, 2, 3]",
+  "89": "[5, 0, 1, 2, 3, 4]",
+  "90": "[0, 1, 2, 3, 5, 4]",
+  "91": "[1, 2, 3, 4, 0, 5]",
+  "92": "[2, 3, 4, 5, 1, 0]",
+  "93": "[3, 4, 5, 0, 2, 1]",
+  "94": "[4, 5, 1, 2, 0, 3]",
+  "95": "[5, 1, 2, 3, 0, 4]",
+  "96": "[0, 2, 1, 3, 4, 5]",
+  "97": "[1, 3, 2, 4, 5, 0]",
+  "98": "[2, 4, 3, 5, 0, 1]",
+  "99": "[3, 5, 4, 0, 1, 2]",
+  "100": "[4, 1, 5, 2, 3, 0]",
+  "101": "[5, 2, 1, 3, 4, 0]",
+  "102": "[0, 3, 1, 2, 4, 5]",
+  "103": "[1, 4, 2, 3, 5, 0]",
+  "104": "[2, 5, 3, 4, 0, 1]",
+  "105": "[3, 0, 4, 5, 1, 2]",
+  "106": "[4, 2, 5, 1, 3, 0]",
+  "107": "[5, 3, 1, 2, 4, 0]",
+  "108": "[0, 4, 5, 1, 3, 2]",
+  "109": "[1, 5, 0, 2, 4, 3]",
+  "110": "[2, 0, 1, 3, 5, 4]",
+  "111": "[3, 1, 2, 4, 0, 5]",
+  "112": "[4, 3, 0, 5, 2, 1]",
+  "113": "[5, 4, 0, 1, 3, 2]",
+  "114": "[0, 5, 1, 2, 4, 3]",
+  "115": "[1, 0, 2, 3, 5, 4]",
+  "116": "[2, 1, 3, 4, 0, 5]",
+  "117": "[3, 2, 4, 5, 1, 0]",
+  "118": "[4, 0, 5, 1, 3, 2]",
+  "119": "[5, 0, 1, 2, 4, 3]",
+  "120": "[0, 1, 5, 4, 2, 3]",
+  "121": "[1, 2, 0, 5, 3, 4]",
+  "122": "[2, 3, 1, 0, 4, 5]",
+  "123": "[3, 4, 2, 1, 5, 0]",
+  "124": "[4, 5, 0, 3, 1, 2]",
+  "125": "[5, 1, 0, 4, 2, 3]",
+  "126": "[0, 2, 4, 5, 1, 3]",
+  "127": "[1, 3, 5, 0, 2, 4]",
+  "128": "[2, 4, 0, 1, 3, 5]",
+  "129": "[3, 5, 1, 2, 4, 0]",
+  "130": "[4, 1, 3, 0, 5, 2]",
+  "131": "[5, 2, 4, 0, 1, 3]",
+  "132": "[0, 3, 4, 5, 1, 2]",
+  "133": "[1, 4, 5, 0, 2, 3]",
+  "134": "[2, 5, 0, 1, 3, 4]",
+  "135": "[3, 0, 1, 2, 4, 5]",
+  "136": "[4, 2, 3, 0, 5, 1]",
+  "137": "[5, 3, 4, 0, 1, 2]",
+  "138": "[0, 4, 3, 2, 5, 1]",
+  "139": "[1, 5, 4, 3, 0, 2]",
+  "140": "[2, 0, 5, 4, 1, 3]",
+  "141": "[3, 1, 0, 5, 2, 4]",
+  "142": "[4, 3, 2, 1, 0, 5]",
+  "143": "[5, 4, 3, 2, 0, 1]",
+  "144": "[0, 5, 4, 3, 1, 2]",
+  "145": "[1, 0, 5, 4, 2, 3]",
+  "146": "[2, 1, 0, 5, 3, 4]",
+  "147": "[3, 2, 1, 0, 4, 5]",
+  "148": "[4, 0, 3, 2, 5, 1]",
+  "149": "[5, 0, 4, 3, 1, 2]",
+  "150": "[0, 1, 5, 4, 3, 2]",
+  "151": "[1, 2, 0, 5, 4, 3]",
+  "152": "[2, 3, 1, 0, 5, 4]",
+  "153": "[3, 4, 2, 1, 0, 5]",
+  "154": "[4, 5, 0, 3, 2, 1]",
+  "155": "[5, 1, 0, 4, 3, 2]",
+  "156": "[0, 2, 4, 5, 3, 1]",
+  "157": "[1, 3, 5, 0, 4, 2]",
+  "158": "[2, 4, 0, 1, 5, 3]",
+  "159": "[3, 5, 1, 2, 0, 4]",
+  "160": "[4, 1, 3, 0, 2, 5]",
+  "161": "[5, 2, 4, 0, 3, 1]",
+  "162": "[0, 3, 4, 5, 2, 1]",
+  "163": "[1, 4, 5, 0, 3, 2]",
+  "164": "[2, 5, 0, 1, 4, 3]",
+  "165": "[3, 0, 1, 2, 5, 4]",
+  "166": "[4, 2, 3, 0, 1, 5]",
+  "167": "[5, 3, 4, 0, 2, 1]",
+  "168": "[0, 4, 3, 2, 1, 5]",
+  "169": "[1, 5, 4, 3, 2, 0]",
+  "170": "[2, 0, 5, 4, 3, 1]",
+  "171": "[3, 1, 0, 5, 4, 2]",
+  "172": "[4, 3, 2, 1, 5, 0]",
+  "173": "[5, 4, 3, 2, 1, 0]",
+  "174": "[0, 5, 4, 3, 2, 1]",
+  "175": "[1, 0, 5, 4, 3, 2]",
+  "176": "[2, 1, 0, 5, 4, 3]",
+  "177": "[3, 2, 1, 0, 5, 4]",
+  "178": "[4, 0, 3, 2, 1, 5]",
+  "179": "[5, 0, 4, 3, 2, 1]",
+  "180": "[0, 1, 3, 5, 4, 2]",
+  "181": "[1, 2, 4, 0, 5, 3]",
+  "182": "[2, 3, 5, 1, 0, 4]",
+  "183": "[3, 4, 0, 2, 1, 5]",
+  "184": "[4, 5, 2, 0, 3, 1]",
+  "185": "[5, 1, 3, 0, 4, 2]",
+  "186": "[0, 2, 3, 4, 5, 1]",
+  "187": "[1, 3, 4, 5, 0, 2]",
+  "188": "[2, 4, 5, 0, 1, 3]",
+  "189": "[3, 5, 0, 1, 2, 4]",
+  "190": "[4, 1, 2, 3, 0, 5]",
+  "191": "[5, 2, 3, 4, 0, 1]",
+  "192": "[0, 3, 2, 4, 5, 1]",
+  "193": "[1, 4, 3, 5, 0, 2]",
+  "194": "[2, 5, 4, 0, 1, 3]",
+  "195": "[3, 0, 5, 1, 2, 4]",
+  "196": "[4, 2, 1, 3, 0, 5]",
+  "197": "[5, 3, 2, 4, 0, 1]",
+  "198": "[0, 4, 1, 3, 2, 5]",
+  "199": "[1, 5, 2, 4, 3, 0]",
+  "200": "[2, 0, 3, 5, 4, 1]",
+  "201": "[3, 1, 4, 0, 5, 2]",
+  "202": "[4, 3, 5, 2, 1, 0]",
+  "203": "[5, 4, 1, 3, 2, 0]",
+  "204": "[0, 5, 2, 4, 3, 1]",
+  "205": "[1, 0, 3, 5, 4, 2]",
+  "206": "[2, 1, 4, 0, 5, 3]",
+  "207": "[3, 2, 5, 1, 0, 4]",
+  "208": "[4, 0, 1, 3, 2, 5]",
+  "209": "[5, 0, 2, 4, 3, 1]",
+  "210": "[0, 1, 3, 4, 5, 2]",
+  "211": "[1, 2, 4, 5, 0, 3]",
+  "212": "[2, 3, 5, 0, 1, 4]",
+  "213": "[3, 4, 0, 1, 2, 5]",
+  "214": "[4, 5, 2, 3, 0, 1]",
+  "215": "[5, 1, 3, 4, 0, 2]",
+  "216": "[0, 2, 3, 5, 4, 1]",
+  "217": "[1, 3, 4, 0, 5, 2]",
+  "218": "[2, 4, 5, 1, 0, 3]",
+  "219": "[3, 5, 0, 2, 1, 4]",
+  "220": "[4, 1, 2, 0, 3, 5]",
+  "221": "[5, 2, 3, 0, 4, 1]",
+  "222": "[0, 3, 2, 5, 4, 1]",
+  "223": "[1, 4, 3, 0, 5, 2]",
+  "224": "[2, 5, 4, 1, 0, 3]",
+  "225": "[3, 0, 5, 2, 1, 4]",
+  "226": "[4, 2, 1, 0, 3, 5]",
+  "227": "[5, 3, 2, 0, 4, 1]",
+  "228": "[0, 4, 1, 2, 3, 5]",
+  "229": "[1, 5, 2, 3, 4, 0]",
+  "230": "[2, 0, 3, 4, 5, 1]",
+  "231": "[3, 1, 4, 5, 0, 2]",
+  "232": "[4, 3, 5, 1, 2, 0]",
+  "233": "[5, 4, 1, 2, 3, 0]",
+  "234": "[0, 5, 2, 3, 4, 1]",
+  "235": "[1, 0, 3, 4, 5, 2]",
+  "236": "[2, 1, 4, 5, 0, 3]",
+  "237": "[3, 2, 5, 0, 1, 4]",
+  "238": "[4, 0, 1, 2, 3, 5]",
+  "239": "[5, 0, 2, 3, 4, 1]",
+  "240": "[0, 1, 4, 3, 2, 5]",
+  "241": "[1, 2, 5, 4, 3, 0]",
+  "242": "[2, 3, 0, 5, 4, 1]",
+  "243": "[3, 4, 1, 0, 5, 2]",
+  "244": "[4, 5, 3, 2, 1, 0]",
+  "245": "[5, 1, 4, 3, 2, 0]",
+  "246": "[0, 2, 5, 3, 1, 4]",
+  "247": "[1, 3, 0, 4, 2, 5]",
+  "248": "[2, 4, 1, 5, 3, 0]",
+  "249": "[3, 5, 2, 0, 4, 1]",
+  "250": "[4, 1, 0, 2, 5, 3]",
+  "251": "[5, 2, 0, 3, 1, 4]",
+  "252": "[0, 3, 5, 2, 1, 4]",
+  "253": "[1, 4, 0, 3, 2, 5]",
+  "254": "[2, 5, 1, 4, 3, 0]",
+  "255": "[3, 0, 2, 5, 4, 1]",
+  "256": "[4, 2, 0, 1, 5, 3]",
+  "257": "[5, 3, 0, 2, 1, 4]",
+  "258": "[0, 4, 2, 1, 5, 3]",
+  "259": "[1, 5, 3, 2, 0, 4]",
+  "260": "[2, 0, 4, 3, 1, 5]",
+  "261": "[3, 1, 5, 4, 2, 0]",
+  "262": "[4, 3, 1, 5, 0, 2]",
+  "263": "[5, 4, 2, 1, 0, 3]",
+  "264": "[0, 5, 3, 2, 1, 4]",
+  "265": "[1, 0, 4, 3, 2, 5]",
+  "266": "[2, 1, 5, 4, 3, 0]",
+  "267": "[3, 2, 0, 5, 4, 1]",
+  "268": "[4, 0, 2, 1, 5, 3]",
+  "269": "[5, 0, 3, 2, 1, 4]",
+  "270": "[0, 1, 4, 2, 3, 5]",
+  "271": "[1, 2, 5, 3, 4, 0]",
+  "272": "[2, 3, 0, 4, 5, 1]",
+  "273": "[3, 4, 1, 5, 0, 2]",
+  "274": "[4, 5, 3, 1, 2, 0]",
+  "275": "[5, 1, 4, 2, 3, 0]",
+  "276": "[0, 2, 5, 1, 3, 4]",
+  "277": "[1, 3, 0, 2, 4, 5]",
+  "278": "[2, 4, 1, 3, 5, 0]",
+  "279": "[3, 5, 2, 4, 0, 1]",
+  "280": "[4, 1, 0, 5, 2, 3]",
+  "281": "[5, 2, 0, 1, 3, 4]",
+  "282": "[0, 3, 5, 1, 2, 4]",
+  "283": "[1, 4, 0, 2, 3, 5]",
+  "284": "[2, 5, 1, 3, 4, 0]",
+  "285": "[3, 0, 2, 4, 5, 1]",
+  "286": "[4, 2, 0, 5, 1, 3]",
+  "287": "[5, 3, 0, 1, 2, 4]",
+  "288": "[0, 4, 2, 5, 1, 3]",
+  "289": "[1, 5, 3, 0, 2, 4]",
+  "290": "[2, 0, 4, 1, 3, 5]",
+  "291": "[3, 1, 5, 2, 4, 0]",
+  "292": "[4, 3, 1, 0, 5, 2]",
+  "293": "[5, 4, 2, 0, 1, 3]",
+  "294": "[0, 5, 3, 1, 2, 4]",
+  "295": "[1, 0, 4, 2, 3, 5]",
+  "296": "[2, 1, 5, 3, 4, 0]",
+  "297": "[3, 2, 0, 4, 5, 1]",
+  "298": "[4, 0, 2, 5, 1, 3]",
+  "299": "[5, 0, 3, 1, 2, 4]",
+  "300": "[0, 1, 5, 2, 4, 3]",
+  "301": "[1, 2, 0, 3, 5, 4]",
+  "302": "[2, 3, 1, 4, 0, 5]",
+  "303": "[3, 4, 2, 5, 1, 0]",
+  "304": "[4, 5, 0, 1, 3, 2]",
+  "305": "[5, 1, 0, 2, 4, 3]",
+  "306": "[0, 2, 4, 1, 5, 3]",
+  "307": "[1, 3, 5, 2, 0, 4]",
+  "308": "[2, 4, 0, 3, 1, 5]",
+  "309": "[3, 5, 1, 4, 2, 0]",
+  "310": "[4, 1, 3, 5, 0, 2]",
+  "311": "[5, 2, 4, 1, 0, 3]",
+  "312": "[0, 3, 4, 1, 5, 2]",
+  "313": "[1, 4, 5, 2, 0, 3]",
+  "314": "[2, 5, 0, 3, 1, 4]",
+  "315": "[3, 0, 1, 4, 2, 5]",
+  "316": "[4, 2, 3, 5, 0, 1]",
+  "317": "[5, 3, 4, 1, 0, 2]",
+  "318": "[0, 4, 3, 5, 2, 1]",
+  "319": "[1, 5, 4, 0, 3, 2]",
+  "320": "[2, 0, 5, 1, 4, 3]",
+  "321": "[3, 1, 0, 2, 5, 4]",
+  "322": "[4, 3, 2, 0, 1, 5]",
+  "323": "[5, 4, 3, 0, 2, 1]",
+  "324": "[0, 5, 4, 1, 3, 2]",
+  "325": "[1, 0, 5, 2, 4, 3]",
+  "326": "[2, 1, 0, 3, 5, 4]",
+  "327": "[3, 2, 1, 4, 0, 5]",
+  "328": "[4, 0, 3, 5, 2, 1]",
+  "329": "[5, 0, 4, 1, 3, 2]",
+  "330": "[0, 1, 4, 2, 5, 3]",
+  "331": "[1, 2, 5, 3, 0, 4]",
+  "332": "[2, 3, 0, 4, 1, 5]",
+  "333": "[3, 4, 1, 5, 2, 0]",
+  "334": "[4, 5, 3, 1, 0, 2]",
+  "335": "[5, 1, 4, 2, 0, 3]",
+  "336": "[0, 2, 5, 1, 4, 3]",
+  "337": "[1, 3, 0, 2, 5, 4]",
+  "338": "[2, 4, 1, 3, 0, 5]",
+  "339": "[3, 5, 2, 4, 1, 0]",
+  "340": "[4, 1, 0, 5, 3, 2]",
+  "341": "[5, 2, 0, 1, 4, 3]",
+  "342": "[0, 3, 5, 1, 4, 2]",
+  "343": "[1, 4, 0, 2, 5, 3]",
+  "344": "[2, 5, 1, 3, 0, 4]",
+  "345": "[3, 0, 2, 4, 1, 5]",
+  "346": "[4, 2, 0, 5, 3, 1]",
+  "347": "[5, 3, 0, 1, 4, 2]",
+  "348": "[0, 4, 2, 5, 3, 1]",
+  "349": "[1, 5, 3, 0, 4, 2]",
+  "350": "[2, 0, 4, 1, 5, 3]",
+  "351": "[3, 1, 5, 2, 0, 4]",
+  "352": "[4, 3, 1, 0, 2, 5]",
+  "353": "[5, 4, 2, 0, 3, 1]",
+  "354": "[0, 5, 3, 1, 4, 2]",
+  "355": "[1, 0, 4, 2, 5, 3]",
+  "356": "[2, 1, 5, 3, 0, 4]",
+  "357": "[3, 2, 0, 4, 1, 5]",
+  "358": "[4, 0, 2, 5, 3, 1]",
+  "359": "[5, 0, 3, 1, 4, 2]",
+  "360": "[0, 1, 3, 4, 2, 5]",
+  "361": "[1, 2, 4, 5, 3, 0]",
+  "362": "[2, 3, 5, 0, 4, 1]",
+  "363": "[3, 4, 0, 1, 5, 2]",
+  "364": "[4, 5, 2, 3, 1, 0]",
+  "365": "[5, 1, 3, 4, 2, 0]",
+  "366": "[0, 2, 3, 5, 1, 4]",
+  "367": "[1, 3, 4, 0, 2, 5]",
+  "368": "[2, 4, 5, 1, 3, 0]",
+  "369": "[3, 5, 0, 2, 4, 1]",
+  "370": "[4, 1, 2, 0, 5, 3]",
+  "371": "[5, 2, 3, 0, 1, 4]",
+  "372": "[0, 3, 2, 5, 1, 4]",
+  "373": "[1, 4, 3, 0, 2, 5]",
+  "374": "[2, 5, 4, 1, 3, 0]",
+  "375": "[3, 0, 5, 2, 4, 1]",
+  "376": "[4, 2, 1, 0, 5, 3]",
+  "377": "[5, 3, 2, 0, 1, 4]",
+  "378": "[0, 4, 1, 2, 5, 3]",
+  "379": "[1, 5, 2, 3, 0, 4]",
+  "380": "[2, 0, 3, 4, 1, 5]",
+  "381": "[3, 1, 4, 5, 2, 0]",
+  "382": "[4, 3, 5, 1, 0, 2]",
+  "383": "[5, 4, 1, 2, 0, 3]",
+  "384": "[0, 5, 2, 3, 1, 4]",
+  "385": "[1, 0, 3, 4, 2, 5]",
+  "386": "[2, 1, 4, 5, 3, 0]",
+  "387": "[3, 2, 5, 0, 4, 1]",
+  "388": "[4, 0, 1, 2, 5, 3]",
+  "389": "[5, 0, 2, 3, 1, 4]",
+  "390": "[0, 1, 2, 4, 3, 5]",
+  "391": "[1, 2, 3, 5, 4, 0]",
+  "392": "[2, 3, 4, 0, 5, 1]",
+  "393": "[3, 4, 5, 1, 0, 2]",
+  "394": "[4, 5, 1, 3, 2, 0]",
+  "395": "[5, 1, 2, 4, 3, 0]",
+  "396": "[0, 2, 1, 5, 3, 4]",
+  "397": "[1, 3, 2, 0, 4, 5]",
+  "398": "[2, 4, 3, 1, 5, 0]",
+  "399": "[3, 5, 4, 2, 0, 1]",
+  "400": "[4, 1, 5, 0, 2, 3]",
+  "401": "[5, 2, 1, 0, 3, 4]",
+  "402": "[0, 3, 1, 5, 2, 4]",
+  "403": "[1, 4, 2, 0, 3, 5]",
+  "404": "[2, 5, 3, 1, 4, 0]",
+  "405": "[3, 0, 4, 2, 5, 1]",
+  "406": "[4, 2, 5, 0, 1, 3]",
+  "407": "[5, 3, 1, 0, 2, 4]",
+  "408": "[0, 4, 5, 2, 1, 3]",
+  "409": "[1, 5, 0, 3, 2, 4]",
+  "410": "[2, 0, 1, 4, 3, 5]",
+  "411": "[3, 1, 2, 5, 4, 0]",
+  "412": "[4, 3, 0, 1, 5, 2]",
+  "413": "[5, 4, 0, 2, 1, 3]",
+  "414": "[0, 5, 1, 3, 2, 4]",
+  "415": "[1, 0, 2, 4, 3, 5]",
+  "416": "[2, 1, 3, 5, 4, 0]",
+  "417": "[3, 2, 4, 0, 5, 1]",
+  "418": "[4, 0, 5, 2, 1, 3]",
+  "419": "[5, 0, 1, 3, 2, 4]",
+  "420": "[0, 1, 2, 5, 4, 3]",
+  "421": "[1, 2, 3, 0, 5, 4]",
+  "422": "[2, 3, 4, 1, 0, 5]",
+  "423": "[3, 4, 5, 2, 1, 0]",
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