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data/a6_data/README.md

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+---
+pretty_name: Permutation Composition Dataset (A6)
+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 A6
+
+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**: A6
+- **Group Type**: Alternating Group
+- **Degree**: 6 (permutations act on 6 elements)
+- **Order**: 360 (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**: 20000
+- **Minimum Sequence Length**: 3
+- **Maximum Sequence Length**: 512
+- **Test Split Size**: 0.2
+
+## Dataset Statistics
+
+- **Train Samples**: 16000
+- **Test Samples**: 4000
+
+## 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 360 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")
+
+# Load the permutation mapping
+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
+
+This dataset is licensed under the MIT License.

data/a6_data/dataset_dict.json

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+{"splits": ["train", "test"]}

data/a6_data/metadata.json

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