code: def _sort_and_analyze_paths(file_list, fs, root=False):
      file_list = sorted(file_list, key=natural_sort_key)
      base, fns = _analyze_paths(file_list, fs, root=root)
      return file_list, base, fns
  
imports: from __future__ import annotations
  import re
  import warnings
  import numpy
  import pandas
  from fsspec.core import expand_paths_if_needed, get_fs_token_paths, stringify_path
  from fsspec.spec import AbstractFileSystem
  from dask import config
  from dask.dataframe.io.utils import _is_local_fs
  from dask.utils import natural_sort_key, parse_bytes
label_desc: Use image node_id 3 for calling a global function with example usage: _sort_and_analyze_paths(file_list, fs, root) and returns: file_list,  base,  fns