
"""simple docstring"""






import sys






def 						_snake_case       (	lowercase__		:  Tuple		)  ->				Any:


			'''simple docstring'''





			lowerCAmelCase_    :str			     =  len(lowercase__		)
			lowerCAmelCase_    :Dict			     =  [[0 for x in range(lowercase__		)] for x in range(lowercase__		)]
			lowerCAmelCase_    :Any			     =  [[0 for x in range(lowercase__		)] for x in range(lowercase__		)]

			for chain_length in range(2      ,     lowercase__		):
						for a in range(1      ,     n - chain_length + 1		):
									lowerCAmelCase_    :str			     =  a + chain_length - 1

									lowerCAmelCase_    :Dict			     =  sys.maxsize
									for c in range(lowercase__      ,     lowercase__		):
												lowerCAmelCase_    :List[str]			     =  (
												    matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
												)
												if cost < matrix[a][b]:
															lowerCAmelCase_    :Any			     =  cost
															lowerCAmelCase_    :Optional[int]			     =  c
			return matrix, sol






def 						_snake_case       (	lowercase__		:  int      ,     lowercase__		:  Optional[Any]      ,     lowercase__		:  Dict		)  ->				List[Any]:


			'''simple docstring'''





			if i == j:
						print("""A""" + str(lowercase__		)      ,     end=""" """		)
			else:
						print("""("""      ,     end=""" """		)
						print_optiomal_solution(lowercase__      ,     lowercase__      ,     optimal_solution[i][j]		)
						print_optiomal_solution(lowercase__      ,     optimal_solution[i][j] + 1      ,     lowercase__		)
						print(""")"""      ,     end=""" """		)






def 						_snake_case       (	)  ->				Tuple:


			'''simple docstring'''





			lowerCAmelCase_    :Any			     =  [3_0, 3_5, 1_5, 5, 1_0, 2_0, 2_5]
			lowerCAmelCase_    :Any			     =  len(lowercase__		)
			# Size of matrix created from above array will be
			# 30*35 35*15 15*5 5*10 10*20 20*25
			lowerCAmelCase_     ,       lowerCAmelCase_    :Dict			     =  matrix_chain_order(lowercase__		)

			print("""No. of Operation required: """ + str(matrix[1][n - 1]		)		)
			print_optiomal_solution(lowercase__      ,     1      ,     n - 1		)


if __name__ == "__main__":
				main()













"""simple docstring"""
def 					A__				(			UpperCamelCase					,  UpperCamelCase = False       ):

							if not isinstance(UpperCamelCase					,  UpperCamelCase       ):
														A		=  F"Expected string as input, found {type(UpperCamelCase       )}"
														raise ValueError(UpperCamelCase       )
							if not isinstance(UpperCamelCase					,  UpperCamelCase       ):
														A		=  F"Expected boolean as use_pascal parameter, found {type(UpperCamelCase       )}"
														raise ValueError(UpperCamelCase       )

							A		=  input_str.split("_"       )

							A		=  0 if use_pascal else 1

							A		=  words[start_index:]

							A		=  [word[0].upper() + word[1:] for word in words_to_capitalize]

							A		=  "" if use_pascal else words[0]

							return "".join([initial_word, *capitalized_words]       )


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

		testmod()


