code: def read_partitioned_dtypes(
      self, fs: FileSystem, directory, storage_options
  ):
      # As ParquetDataset will iterate all files,
      # here we just find one file to infer dtypes
      current_path = directory
      partition_cols = []
      while fs.isdir(current_path):
          _, dirs, files = next(fs.walk(current_path))
          dirs = [d for d in dirs if not d.startswith(".")]
          files = [f for f in files if not f.startswith(".")]
          if len(files) == 0:
              # directory as partition
              partition_cols.append(dirs[0].split("=", 1)[0])
              current_path = os.path.join(current_path, dirs[0])
          elif len(dirs) == 0:
              # parquet files in deepest directory
              current_path = os.path.join(current_path, files[0])
          else:  # pragma: no cover
              raise ValueError(
                  "Files and directories are mixed in an intermediate directory"
              )
  
      # current path is now a parquet file
      with open_file(
          current_path, storage_options=storage_options
      ) as f:
          dtypes = self.read_dtypes(f)
      for partition in partition_cols:
          dtypes[partition] = pd.CategoricalDtype()
      return dtypes
  
imports: import os
  from typing import Dict
  from urllib.parse import urlparse
  import numpy
  import pandas
  from ...None import opcodes
  from ...config import options
  from ...lib.filesystem import file_size, get_fs, glob, open_file, FileSystem
  from ...serialization.serializables import AnyField, BoolField, DictField, ListField, StringField, Int32Field, Int64Field
  from ...utils import is_object_dtype, lazy_import
  from ..arrays import ArrowStringDtype
  from ..operands import OutputType
  from ..utils import parse_index, to_arrow_dtypes, contain_arrow_dtype
  from .core import IncrementalIndexDatasource, ColumnPruneSupportedDataSourceMixin, IncrementalIndexDataSourceMixin, merge_small_files
label_desc: Use image node_id 6 for calling the ParquetEngine obj's underlying member method code with example usage: obj.read_partitioned_dtypes(fs, directory, storage_options) and returns: dtypes