


"""simple docstring"""

def lowerCAmelCase_   (					UpperCamelCase__						:			list[int]					, UpperCamelCase__						:			list[int]					, UpperCamelCase__						:			int			):






 """simple docstring"""







 return not any(
     neighbour == 1 and colored_vertices[i] == color
     for i, neighbour in enumerate(UpperCamelCase__			)			)


def lowerCAmelCase_   (					UpperCamelCase__						:			list[list[int]]					, UpperCamelCase__						:			int					, UpperCamelCase__						:			list[int]					, UpperCamelCase__						:			int			):






 """simple docstring"""







 if index == len(UpperCamelCase__			):
  return True

 # Recursive Step
 for i in range(UpperCamelCase__			):
  if valid_coloring(graph[index]					, UpperCamelCase__					, UpperCamelCase__			):
   # Color current vertex
   __lowercase						=						i
   # Validate coloring
   if util_color(UpperCamelCase__					, UpperCamelCase__					, UpperCamelCase__					, index + 1			):
    return True
   # Backtrack
   __lowercase						=						-1
 return False


def lowerCAmelCase_   (					UpperCamelCase__						:			list[list[int]]					, UpperCamelCase__						:			int			):






 """simple docstring"""







 __lowercase						=						[-1] * len(UpperCamelCase__			)

 if util_color(UpperCamelCase__					, UpperCamelCase__					, UpperCamelCase__					, 0			):
  return colored_vertices

 return []




"""simple docstring"""

from typing import Optional
from urllib.parse import quote

import huggingface_hub as hfh
from packaging import version


def lowerCAmelCase_   (					UpperCamelCase__						:			str					, UpperCamelCase__						:			str					, UpperCamelCase__						:			Optional[str] = None			):






 """simple docstring"""







 if version.parse(hfh.__version__			).release < version.parse("""0.11.0"""			).release:
  # old versions of hfh don't url-encode the file path
  __lowercase						=						quote(UpperCamelCase__			)
 return hfh.hf_hub_url(UpperCamelCase__					, UpperCamelCase__					, repo_type="""dataset"""					, revision=UpperCamelCase__			)
