



"""simple docstring"""





from __future__ import annotations

from dataclasses import dataclass
@dataclass
class    lowercase__     :







       '''simple docstring'''


       UpperCamelCase		=  42
       UpperCamelCase		=  None
       UpperCamelCase		=  None



def      a__			(   lowerCAmelCase__   ):

      # Validation
      def is_valid_tree(lowerCAmelCase__   ) -> bool:
            if node is None:
                  return True

            if not isinstance(lowerCAmelCase__			,    lowerCAmelCase__   ):
                  return False

            try:
                  float(node.data   )
            except (TypeError, ValueError):
                  return False

            return is_valid_tree(node.left   ) and is_valid_tree(node.right   )

      if not is_valid_tree(lowerCAmelCase__   ):
            raise ValueError(
                "Each node should be type of TreeNode and data should be float."   )

      def is_binary_search_tree_recursive_check(
          lowerCAmelCase__			,    lowerCAmelCase__			,    lowerCAmelCase__   ) -> bool:

            if node is None:
                  return True

            return (
                left_bound < node.data < right_bound
                and is_binary_search_tree_recursive_check(node.left			,    lowerCAmelCase__			,    node.data   )
                and is_binary_search_tree_recursive_check(
                    node.right			,    node.data			,    lowerCAmelCase__   )
            )

      return is_binary_search_tree_recursive_check(lowerCAmelCase__			,    -float("inf"   )			,    float("inf"   )   )


if __name__ == "__main__":
  import doctest

  doctest.testmod()









"""simple docstring"""





from __future__ import annotations
def      a__			(   lowerCAmelCase__   ):
      if len(lowerCAmelCase__   ) == 0:
            return []
      UpperCAmelCase_				,					UpperCAmelCase_    				=							min(lowerCAmelCase__   ), max(lowerCAmelCase__   )
      UpperCAmelCase_    				=							int(max_value - min_value   ) + 1
      UpperCAmelCase_    				=							[[] for _ in range(lowerCAmelCase__   )]

      for i in my_list:
            buckets[int(i - min_value   )].append(lowerCAmelCase__   )

      return [v for bucket in buckets for v in sorted(lowerCAmelCase__   )]


if __name__ == "__main__":
  from doctest import testmod

  testmod()
  assert bucket_sort([4, 5, 3, 2, 1]) == [1, 2, 3, 4, 5]
  assert bucket_sort([0, 1, -10, 15, 2, -2]) == [-10, -2, 0, 1, 2, 15]




