


"""simple docstring"""


import functools
from typing import Any






def      a__ (				__lowercase     ,			__lowercase   )	->	bool:

				# Validation
				if not isinstance(__lowercase     ,			__lowercase   ) or len(__lowercase   ) == 0:
								raise ValueError("the string should be not empty string"   )

				if not isinstance(__lowercase     ,			__lowercase   ) or not all(
				    isinstance(__lowercase     ,			__lowercase   ) and len(__lowercase   ) > 0 for item in words   ):
								raise ValueError("the words should be a list of non-empty strings"   )

				# Build trie
				_A					  =			{}
				_A					  =			"WORD_KEEPER"

				for word in words:
								_A					  =			trie
								for c in word:
												if c not in trie_node:
																_A					  =			{}

												_A					  =			trie_node[c]

								_A					  =			True

				_A					  =			len(__lowercase   )

				# Dynamic programming method
				@functools.cache
				def is_breakable(__lowercase   ) -> bool:
								if index == len_string:
												return True

								_A					  =			trie
								for i in range(__lowercase     ,			__lowercase   ):
												_A					  =			trie_node.get(string[i]     ,			__lowercase   )

												if trie_node is None:
																return False

												if trie_node.get(__lowercase     ,			__lowercase   ) and is_breakable(i + 1   ):
																return True

								return False

				return is_breakable(0   )


if __name__ == "__main__":
		import doctest

		doctest.testmod()



"""simple docstring"""


import random






def      a__ (				__lowercase     ,			__lowercase     ,			__lowercase   )	->	Optional[Any]:
				_A					  =			a[left_index]
				_A					  =			left_index + 1
				for j in range(left_index + 1     ,			__lowercase   ):
								if a[j] < pivot:
												_A  ,		_A					  =			a[i], a[j]
												i += 1
				_A  ,		_A					  =			a[i - 1], a[left_index]
				return i - 1






def      a__ (				__lowercase     ,			__lowercase     ,			__lowercase   )	->	int:
				if left < right:
								_A					  =			random.randint(__lowercase     ,			right - 1   )
								_A  ,		_A					  =			(
								    a[left],
								    a[pivot],
								)  # switches the pivot with the left most bound
								_A					  =			partition(__lowercase     ,			__lowercase     ,			__lowercase   )
								quick_sort_random(
								    __lowercase     ,			__lowercase     ,			__lowercase   )  # recursive quicksort to the left of the pivot point
								quick_sort_random(
								    __lowercase     ,			pivot_index + 1     ,			__lowercase   )  # recursive quicksort to the right of the pivot point






def      a__ (				)	->	Dict:
				_A					  =			input("Enter numbers separated by a comma:\n"   ).strip()
				_A					  =			[int(__lowercase   ) for item in user_input.split(","   )]

				quick_sort_random(__lowercase     ,			0     ,			len(__lowercase   )   )

				print(__lowercase   )


if __name__ == "__main__":
		main()