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()

```

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

{"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"}]}