prompt: We are currently solving the following issue within our repository. Here is the issue text:
  --- BEGIN ISSUE ---
  Remove `DataFrame.to_pickle_distributed` in favour of `DataFrame.modin.to_pickle_distributed`
  
  
  --- 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/experimental/pandas/__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 
  14 """
  15 The main module through which interaction with the experimental API takes place.
  16 
  17 See `Experimental API Reference` for details.
  18 
  19 Notes
  20 -----
  21 * Some of experimental APIs deviate from pandas in order to provide improved
  22   performance.
  23 
  24 * Although the use of experimental storage formats and engines is available through the
  25   `modin.pandas` module when defining environment variable `MODIN_EXPERIMENTAL=true`,
  26   the use of experimental I/O functions is available only through the
  27   `modin.experimental.pandas` module.
  28 
  29 Examples
  30 --------
  31 >>> import modin.experimental.pandas as pd
  32 >>> df = pd.read_csv_glob("data*.csv")
  33 """
  34 
  35 import functools
  36 import warnings
  37 
  38 from modin.pandas import *  # noqa F401, F403
  39 
  40 from .io import (  # noqa F401
  41     read_csv_glob,
  42     read_custom_text,
  43     read_json_glob,
  44     read_parquet_glob,
  45     read_pickle_distributed,
  46     read_sql,
  47     read_xml_glob,
  48     to_pickle_distributed,
  49 )
  50 
  51 old_to_pickle_distributed = to_pickle_distributed
  52 
  53 
  54 @functools.wraps(to_pickle_distributed)
  55 def to_pickle_distributed(*args, **kwargs):
  56     warnings.warn(
  57         "`DataFrame.to_pickle_distributed` is deprecated and will be removed in a future version. "
  58         + "Please use `DataFrame.modin.to_pickle_distributed` instead.",
  59         category=FutureWarning,
  60     )
  61     return old_to_pickle_distributed(*args, **kwargs)
  62 
  63 
  64 setattr(DataFrame, "to_pickle_distributed", to_pickle_distributed)  # noqa: F405
  65
  ```
  --- 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/experimental/pandas/__init__.py b/modin/experimental/pandas/__init__.py
  --- a/modin/experimental/pandas/__init__.py
  +++ b/modin/experimental/pandas/__init__.py
  @@ -32,9 +32,6 @@
   >>> df = pd.read_csv_glob("data*.csv")
   """
   
  -import functools
  -import warnings
  -
   from modin.pandas import *  # noqa F401, F403
   
   from .io import (  # noqa F401
  @@ -45,20 +42,4 @@
       read_pickle_distributed,
       read_sql,
       read_xml_glob,
  -    to_pickle_distributed,
   )
  -
  -old_to_pickle_distributed = to_pickle_distributed
  -
  -
  -@functools.wraps(to_pickle_distributed)
  -def to_pickle_distributed(*args, **kwargs):
  -    warnings.warn(
  -        "`DataFrame.to_pickle_distributed` is deprecated and will be removed in a future version. "
  -        + "Please use `DataFrame.modin.to_pickle_distributed` instead.",
  -        category=FutureWarning,
  -    )
  -    return old_to_pickle_distributed(*args, **kwargs)
  -
  -
  -setattr(DataFrame, "to_pickle_distributed", to_pickle_distributed)  # noqa: F405
  
verification_info: {"golden_diff": "diff --git a/modin/experimental/pandas/__init__.py b/modin/experimental/pandas/__init__.py\n--- a/modin/experimental/pandas/__init__.py\n+++ b/modin/experimental/pandas/__init__.py\n@@ -32,9 +32,6 @@\n >>> df = pd.read_csv_glob(\"data*.csv\")\n \"\"\"\n \n-import functools\n-import warnings\n-\n from modin.pandas import *  # noqa F401, F403\n \n from .io import (  # noqa F401\n@@ -45,20 +42,4 @@\n     read_pickle_distributed,\n     read_sql,\n     read_xml_glob,\n-    to_pickle_distributed,\n )\n-\n-old_to_pickle_distributed = to_pickle_distributed\n-\n-\n-@functools.wraps(to_pickle_distributed)\n-def to_pickle_distributed(*args, **kwargs):\n-    warnings.warn(\n-        \"`DataFrame.to_pickle_distributed` is deprecated and will be removed in a future version. \"\n-        + \"Please use `DataFrame.modin.to_pickle_distributed` instead.\",\n-        category=FutureWarning,\n-    )\n-    return old_to_pickle_distributed(*args, **kwargs)\n-\n-\n-setattr(DataFrame, \"to_pickle_distributed\", to_pickle_distributed)  # noqa: F405\n", "issue": "Remove `DataFrame.to_pickle_distributed` in favour of `DataFrame.modin.to_pickle_distributed`\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\"\"\"\nThe main module through which interaction with the experimental API takes place.\n\nSee `Experimental API Reference` for details.\n\nNotes\n-----\n* Some of experimental APIs deviate from pandas in order to provide improved\n  performance.\n\n* Although the use of experimental storage formats and engines is available through the\n  `modin.pandas` module when defining environment variable `MODIN_EXPERIMENTAL=true`,\n  the use of experimental I/O functions is available only through the\n  `modin.experimental.pandas` module.\n\nExamples\n--------\n>>> import modin.experimental.pandas as pd\n>>> df = pd.read_csv_glob(\"data*.csv\")\n\"\"\"\n\nimport functools\nimport warnings\n\nfrom modin.pandas import *  # noqa F401, F403\n\nfrom .io import (  # noqa F401\n    read_csv_glob,\n    read_custom_text,\n    read_json_glob,\n    read_parquet_glob,\n    read_pickle_distributed,\n    read_sql,\n    read_xml_glob,\n    to_pickle_distributed,\n)\n\nold_to_pickle_distributed = to_pickle_distributed\n\n\n@functools.wraps(to_pickle_distributed)\ndef to_pickle_distributed(*args, **kwargs):\n    warnings.warn(\n        \"`DataFrame.to_pickle_distributed` is deprecated and will be removed in a future version. \"\n        + \"Please use `DataFrame.modin.to_pickle_distributed` instead.\",\n        category=FutureWarning,\n    )\n    return old_to_pickle_distributed(*args, **kwargs)\n\n\nsetattr(DataFrame, \"to_pickle_distributed\", to_pickle_distributed)  # noqa: F405\n", "path": "modin/experimental/pandas/__init__.py"}], "after_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\"\"\"\nThe main module through which interaction with the experimental API takes place.\n\nSee `Experimental API Reference` for details.\n\nNotes\n-----\n* Some of experimental APIs deviate from pandas in order to provide improved\n  performance.\n\n* Although the use of experimental storage formats and engines is available through the\n  `modin.pandas` module when defining environment variable `MODIN_EXPERIMENTAL=true`,\n  the use of experimental I/O functions is available only through the\n  `modin.experimental.pandas` module.\n\nExamples\n--------\n>>> import modin.experimental.pandas as pd\n>>> df = pd.read_csv_glob(\"data*.csv\")\n\"\"\"\n\nfrom modin.pandas import *  # noqa F401, F403\n\nfrom .io import (  # noqa F401\n    read_csv_glob,\n    read_custom_text,\n    read_json_glob,\n    read_parquet_glob,\n    read_pickle_distributed,\n    read_sql,\n    read_xml_glob,\n)\n", "path": "modin/experimental/pandas/__init__.py"}]}