prompt: We are currently solving the following issue within our repository. Here is the issue text:
  --- BEGIN ISSUE ---
  [REFACTOR]: remove dead code in modin/pandas/index folder
  <!--
  General questions should be asked on the mailing list modin-dev@googlegroups.com.
  
  Before submitting an issue, please fill out the following form.
  -->
  
  ### System information
  - **OS Platform and Distribution (e.g., Linux Ubuntu 16.04)**:
  - **Modin installed from (source or binary)**:
  - **Modin version**:
  - **Python version**:
  - **Exact command to reproduce**:
  
  <!--
  You can obtain the Modin version with
  
  python -c "import modin; print(modin.__version__)"
  -->
  
  ### Describe the problem
  <!-- Describe the problem clearly here. -->
  
  ### Source code / logs
  <!-- Include any logs or source code that would be helpful to diagnose the problem. If including tracebacks, please include the full traceback. Large logs and files should be attached. Try to provide a reproducible test case that is the bare minimum necessary to generate the problem. -->
  
  
  --- END ISSUE ---
  
  Below are some code segments, each from a relevant file. One or more of these files may contain bugs.
  --- BEGIN FILES ---
  Path: `modin/pandas/index/partitioned_index.py`
  Content:
  ```
  1 # Licensed to Modin Development Team under one or more contributor license agreements.
  2 # See the NOTICE file distributed with this work for additional information regarding
  3 # copyright ownership.  The Modin Development Team licenses this file to you under the
  4 # Apache License, Version 2.0 (the "License"); you may not use this file except in
  5 # compliance with the License.  You may obtain a copy of the License at
  6 #
  7 #     http://www.apache.org/licenses/LICENSE-2.0
  8 #
  9 # Unless required by applicable law or agreed to in writing, software distributed under
  10 # the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF
  11 # ANY KIND, either express or implied. See the License for the specific language
  12 # governing permissions and limitations under the License.
  13 
  14 
  15 class PartitionedIndex(object):
  16 
  17     _index_lengths_cache = None
  18 
  19     def _get_partition_lengths(self):
  20         if self._index_lengths_cache is None:
  21             self._index_lengths_cache = [
  22                 obj.apply(len).get() for obj in self.index_partitions[:0]
  23             ]
  24         return self._index_lengths_cache
  25 
  26     def _set_partition_lengths(self, new_value):
  27         self._partition_length_cache = new_value
  28 
  29     index_lengths = property(_get_partition_lengths, _set_partition_lengths)
  30 
  31     def __getitem__(self, key):
  32         cls = type(self)
  33         return cls(self.index_partitions[key])
  34 
  35 
  36 class RayPartitionedIndex(PartitionedIndex):
  37     def __init__(self, index_partitions):
  38         self.index_partitions = index_partitions
  39
  ```
  
  Path: `modin/pandas/index/__init__.py`
  Content:
  ```
  1 # Licensed to Modin Development Team under one or more contributor license agreements.
  2 # See the NOTICE file distributed with this work for additional information regarding
  3 # copyright ownership.  The Modin Development Team licenses this file to you under the
  4 # Apache License, Version 2.0 (the "License"); you may not use this file except in
  5 # compliance with the License.  You may obtain a copy of the License at
  6 #
  7 #     http://www.apache.org/licenses/LICENSE-2.0
  8 #
  9 # Unless required by applicable law or agreed to in writing, software distributed under
  10 # the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF
  11 # ANY KIND, either express or implied. See the License for the specific language
  12 # governing permissions and limitations under the License.
  13
  ```
  --- END FILES ---
  
  Please first localize the bug based on the issue statement, and then generate a patch according to the `git diff` format fenced by three backticks.
  
  Here is an example:
  
  ```diff
  diff --git a/examples/server_async.py b/examples/server_async.py
  --- a/examples/server_async.py
  +++ b/examples/server_async.py
  @@ -313,4 +313,4 @@
   
   
   if __name__ == "__main__":
  -    asyncio.run(run_async_server("."), debug=True)
  +    asyncio.run(run_async_server(), debug=True)
  diff --git a/examples/server_sync.py b/examples/server_sync.py
  --- a/examples/server_sync.py
  +++ b/examples/server_sync.py
  @@ -313,5 +313,5 @@
   
   
   if __name__ == "__main__":
  -    server = run_sync_server(".")
  +    server = run_sync_server()
       server.shutdown()
  
  ```
  
golden_diff: diff --git a/modin/pandas/index/__init__.py b/modin/pandas/index/__init__.py
  deleted file mode 100644
  --- a/modin/pandas/index/__init__.py
  +++ /dev/null
  @@ -1,12 +0,0 @@
  -# Licensed to Modin Development Team under one or more contributor license agreements.
  -# See the NOTICE file distributed with this work for additional information regarding
  -# copyright ownership.  The Modin Development Team licenses this file to you under the
  -# Apache License, Version 2.0 (the "License"); you may not use this file except in
  -# compliance with the License.  You may obtain a copy of the License at
  -#
  -#     http://www.apache.org/licenses/LICENSE-2.0
  -#
  -# Unless required by applicable law or agreed to in writing, software distributed under
  -# the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF
  -# ANY KIND, either express or implied. See the License for the specific language
  -# governing permissions and limitations under the License.
  diff --git a/modin/pandas/index/partitioned_index.py b/modin/pandas/index/partitioned_index.py
  deleted file mode 100644
  --- a/modin/pandas/index/partitioned_index.py
  +++ /dev/null
  @@ -1,38 +0,0 @@
  -# Licensed to Modin Development Team under one or more contributor license agreements.
  -# See the NOTICE file distributed with this work for additional information regarding
  -# copyright ownership.  The Modin Development Team licenses this file to you under the
  -# Apache License, Version 2.0 (the "License"); you may not use this file except in
  -# compliance with the License.  You may obtain a copy of the License at
  -#
  -#     http://www.apache.org/licenses/LICENSE-2.0
  -#
  -# Unless required by applicable law or agreed to in writing, software distributed under
  -# the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF
  -# ANY KIND, either express or implied. See the License for the specific language
  -# governing permissions and limitations under the License.
  -
  -
  -class PartitionedIndex(object):
  -
  -    _index_lengths_cache = None
  -
  -    def _get_partition_lengths(self):
  -        if self._index_lengths_cache is None:
  -            self._index_lengths_cache = [
  -                obj.apply(len).get() for obj in self.index_partitions[:0]
  -            ]
  -        return self._index_lengths_cache
  -
  -    def _set_partition_lengths(self, new_value):
  -        self._partition_length_cache = new_value
  -
  -    index_lengths = property(_get_partition_lengths, _set_partition_lengths)
  -
  -    def __getitem__(self, key):
  -        cls = type(self)
  -        return cls(self.index_partitions[key])
  -
  -
  -class RayPartitionedIndex(PartitionedIndex):
  -    def __init__(self, index_partitions):
  -        self.index_partitions = index_partitions
  
verification_info: {"golden_diff": "diff --git a/modin/pandas/index/__init__.py b/modin/pandas/index/__init__.py\ndeleted file mode 100644\n--- a/modin/pandas/index/__init__.py\n+++ /dev/null\n@@ -1,12 +0,0 @@\n-# Licensed to Modin Development Team under one or more contributor license agreements.\n-# See the NOTICE file distributed with this work for additional information regarding\n-# copyright ownership.  The Modin Development Team licenses this file to you under the\n-# Apache License, Version 2.0 (the \"License\"); you may not use this file except in\n-# compliance with the License.  You may obtain a copy of the License at\n-#\n-#     http://www.apache.org/licenses/LICENSE-2.0\n-#\n-# Unless required by applicable law or agreed to in writing, software distributed under\n-# the License is distributed on an \"AS IS\" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF\n-# ANY KIND, either express or implied. See the License for the specific language\n-# governing permissions and limitations under the License.\ndiff --git a/modin/pandas/index/partitioned_index.py b/modin/pandas/index/partitioned_index.py\ndeleted file mode 100644\n--- a/modin/pandas/index/partitioned_index.py\n+++ /dev/null\n@@ -1,38 +0,0 @@\n-# Licensed to Modin Development Team under one or more contributor license agreements.\n-# See the NOTICE file distributed with this work for additional information regarding\n-# copyright ownership.  The Modin Development Team licenses this file to you under the\n-# Apache License, Version 2.0 (the \"License\"); you may not use this file except in\n-# compliance with the License.  You may obtain a copy of the License at\n-#\n-#     http://www.apache.org/licenses/LICENSE-2.0\n-#\n-# Unless required by applicable law or agreed to in writing, software distributed under\n-# the License is distributed on an \"AS IS\" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF\n-# ANY KIND, either express or implied. See the License for the specific language\n-# governing permissions and limitations under the License.\n-\n-\n-class PartitionedIndex(object):\n-\n-    _index_lengths_cache = None\n-\n-    def _get_partition_lengths(self):\n-        if self._index_lengths_cache is None:\n-            self._index_lengths_cache = [\n-                obj.apply(len).get() for obj in self.index_partitions[:0]\n-            ]\n-        return self._index_lengths_cache\n-\n-    def _set_partition_lengths(self, new_value):\n-        self._partition_length_cache = new_value\n-\n-    index_lengths = property(_get_partition_lengths, _set_partition_lengths)\n-\n-    def __getitem__(self, key):\n-        cls = type(self)\n-        return cls(self.index_partitions[key])\n-\n-\n-class RayPartitionedIndex(PartitionedIndex):\n-    def __init__(self, index_partitions):\n-        self.index_partitions = index_partitions\n", "issue": "[REFACTOR]: remove dead code in modin/pandas/index folder\n<!--\r\nGeneral questions should be asked on the mailing list modin-dev@googlegroups.com.\r\n\r\nBefore submitting an issue, please fill out the following form.\r\n-->\r\n\r\n### System information\r\n- **OS Platform and Distribution (e.g., Linux Ubuntu 16.04)**:\r\n- **Modin installed from (source or binary)**:\r\n- **Modin version**:\r\n- **Python version**:\r\n- **Exact command to reproduce**:\r\n\r\n<!--\r\nYou can obtain the Modin version with\r\n\r\npython -c \"import modin; print(modin.__version__)\"\r\n-->\r\n\r\n### Describe the problem\r\n<!-- Describe the problem clearly here. -->\r\n\r\n### Source code / logs\r\n<!-- Include any logs or source code that would be helpful to diagnose the problem. If including tracebacks, please include the full traceback. Large logs and files should be attached. Try to provide a reproducible test case that is the bare minimum necessary to generate the problem. -->\r\n\n", "before_files": [{"content": "# Licensed to Modin Development Team under one or more contributor license agreements.\n# See the NOTICE file distributed with this work for additional information regarding\n# copyright ownership.  The Modin Development Team licenses this file to you under the\n# Apache License, Version 2.0 (the \"License\"); you may not use this file except in\n# compliance with the License.  You may obtain a copy of the License at\n#\n#     http://www.apache.org/licenses/LICENSE-2.0\n#\n# Unless required by applicable law or agreed to in writing, software distributed under\n# the License is distributed on an \"AS IS\" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF\n# ANY KIND, either express or implied. See the License for the specific language\n# governing permissions and limitations under the License.\n\n\nclass PartitionedIndex(object):\n\n    _index_lengths_cache = None\n\n    def _get_partition_lengths(self):\n        if self._index_lengths_cache is None:\n            self._index_lengths_cache = [\n                obj.apply(len).get() for obj in self.index_partitions[:0]\n            ]\n        return self._index_lengths_cache\n\n    def _set_partition_lengths(self, new_value):\n        self._partition_length_cache = new_value\n\n    index_lengths = property(_get_partition_lengths, _set_partition_lengths)\n\n    def __getitem__(self, key):\n        cls = type(self)\n        return cls(self.index_partitions[key])\n\n\nclass RayPartitionedIndex(PartitionedIndex):\n    def __init__(self, index_partitions):\n        self.index_partitions = index_partitions\n", "path": "modin/pandas/index/partitioned_index.py"}, {"content": "# Licensed to Modin Development Team under one or more contributor license agreements.\n# See the NOTICE file distributed with this work for additional information regarding\n# copyright ownership.  The Modin Development Team licenses this file to you under the\n# Apache License, Version 2.0 (the \"License\"); you may not use this file except in\n# compliance with the License.  You may obtain a copy of the License at\n#\n#     http://www.apache.org/licenses/LICENSE-2.0\n#\n# Unless required by applicable law or agreed to in writing, software distributed under\n# the License is distributed on an \"AS IS\" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF\n# ANY KIND, either express or implied. See the License for the specific language\n# governing permissions and limitations under the License.\n", "path": "modin/pandas/index/__init__.py"}], "after_files": [{"content": null, "path": "modin/pandas/index/partitioned_index.py"}, {"content": null, "path": "modin/pandas/index/__init__.py"}]}