




"""simple docstring"""




from typing import Dict, List, Optional, Type

from .. import config
from ..utils import logging
from .formatting import (
    ArrowFormatter,
    CustomFormatter,
    Formatter,
    PandasFormatter,
    PythonFormatter,
    TensorFormatter,
    format_table,
    query_table,
)
from .np_formatter import NumpyFormatter


lowerCAmelCase							:    List[str]  							=							logging.get_logger(__name__)

lowerCAmelCase							:    Dict[Optional[str], Type[Formatter]]  							=							{}
lowerCAmelCase							:    Dict[Optional[str], str]  							=							{}
lowerCAmelCase							:    Dict[Optional[str], Exception]  							=							{}



def 					a__				(       snake_case__ ,				snake_case__ ,				snake_case__ = None ,				)		->      List[str]:
			lowerCamelCase       =      aliases if aliases is not None else []
			if format_type in _FORMAT_TYPES:
						logger.warning(
						    F'Overwriting format type \'{format_type}\' ({_FORMAT_TYPES[format_type].__name__} -> {formatter_cls.__name__})'       )
			lowerCamelCase       =      formatter_cls
			for alias in set(aliases + [format_type]       ):
						if alias in _FORMAT_TYPES_ALIASES:
									logger.warning(
									    F'Overwriting format type alias \'{alias}\' ({_FORMAT_TYPES_ALIASES[alias]} -> {format_type})'       )
						lowerCamelCase       =      format_type



def 					a__				(       snake_case__ ,				snake_case__ ,				snake_case__ = None       )		->      Tuple:
			lowerCamelCase       =      aliases if aliases is not None else []
			for alias in set(aliases + [format_type]       ):
						lowerCamelCase       =      unavailable_error


# Here we define all the available formatting functions that can be used by `Dataset.set_format`
_register_formatter(PythonFormatter, None, aliases=["""python"""])
_register_formatter(ArrowFormatter, """arrow""", aliases=["""pa""", """pyarrow"""])
_register_formatter(NumpyFormatter, """numpy""", aliases=["""np"""])
_register_formatter(PandasFormatter, """pandas""", aliases=["""pd"""])
_register_formatter(CustomFormatter, """custom""")

if config.TORCH_AVAILABLE:
					from .torch_formatter import TorchFormatter

					_register_formatter(TorchFormatter, """torch""", aliases=["""pt""", """pytorch"""])
else:
					lowerCAmelCase							:    Optional[int]  							=							ValueError("""PyTorch needs to be installed to be able to return PyTorch tensors.""")
					_register_unavailable_formatter(_torch_error, """torch""", aliases=["""pt""", """pytorch"""])

if config.TF_AVAILABLE:
					from .tf_formatter import TFFormatter

					_register_formatter(TFFormatter, """tensorflow""", aliases=["""tf"""])
else:
					lowerCAmelCase							:    str  							=							ValueError("""Tensorflow needs to be installed to be able to return Tensorflow tensors.""")
					_register_unavailable_formatter(_tf_error, """tensorflow""", aliases=["""tf"""])

if config.JAX_AVAILABLE:
					from .jax_formatter import JaxFormatter

					_register_formatter(JaxFormatter, """jax""", aliases=[])
else:
					lowerCAmelCase							:    Any  							=							ValueError("""JAX needs to be installed to be able to return JAX arrays.""")
					_register_unavailable_formatter(_jax_error, """jax""", aliases=[])



def 					a__				(       snake_case__       )		->      List[Any]:




			if format_type in _FORMAT_TYPES_ALIASES:
						return _FORMAT_TYPES_ALIASES[format_type]
			else:
						return format_type



def 					a__				(       snake_case__ ,				**snake_case__       )		->      Optional[Any]:
			lowerCamelCase       =      get_format_type_from_alias(snake_case__       )
			if format_type in _FORMAT_TYPES:
						return _FORMAT_TYPES[format_type](**snake_case__       )
			if format_type in _FORMAT_TYPES_ALIASES_UNAVAILABLE:
						raise _FORMAT_TYPES_ALIASES_UNAVAILABLE[format_type]
			else:
						raise ValueError(
						    F'Return type should be None or selected in {list(type for type in _FORMAT_TYPES.keys() if type != None       )}, but got \'{format_type}\''       )









"""simple docstring"""




# A Bipartite Graph is a graph whose vertices can be divided into two independent sets,
# U and V such that every edge (u, v) either connects a vertex from U to V or a vertex
# from V to U. In other words, for every edge (u, v), either u belongs to U and v to V,
# or u belongs to V and v to U. We can also say that there is no edge that connects
# vertices of same set.



def 					a__				(       snake_case__       )		->      Dict:
			lowerCamelCase       =      [False] * len(snake_case__       )
			lowerCamelCase       =      [-1] * len(snake_case__       )

			def dfs(snake_case__ ,				snake_case__       ):
						lowerCamelCase       =      True
						lowerCamelCase       =      c
						for u in graph[v]:
									if not visited[u]:
												dfs(snake_case__ ,				1 - c       )

			for i in range(len(snake_case__       )       ):
						if not visited[i]:
									dfs(snake_case__ ,				0       )

			for i in range(len(snake_case__       )       ):
						for j in graph[i]:
									if color[i] == color[j]:
												return False

			return True


# Adjacency list of graph
lowerCAmelCase							:    str  							=							{0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2], 4: []}


print(check_bipartite_dfs(graph))



