'''simple docstring'''

import sys
def       __UpperCamelCase	(       UpperCAmelCase					):
 lowercase__    :   Tuple						= len(UpperCAmelCase					)
 lowercase__    :   Union[str, Any]						= [[0 for x in range(UpperCAmelCase					)] for x in range(UpperCAmelCase					)]
 lowercase__    :   Optional[Any]						= [[0 for x in range(UpperCAmelCase					)] for x in range(UpperCAmelCase					)]

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

   lowercase__    :   Optional[Any]						= sys.maxsize
   for c in range(UpperCAmelCase		,					UpperCAmelCase					):
    lowercase__    :   Optional[Any]						= (
        matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
    )
    if cost < matrix[a][b]:
     lowercase__    :   List[str]						= cost
     lowercase__    :   int						= c
 return matrix, sol
def       __UpperCamelCase	(       UpperCAmelCase		,					UpperCAmelCase		,					UpperCAmelCase					):
 if i == j:
  print('''A''' + str(UpperCAmelCase					)		,					end=''' '''					)
 else:
  print('''('''		,					end=''' '''					)
  print_optiomal_solution(UpperCAmelCase		,					UpperCAmelCase		,					optimal_solution[i][j]					)
  print_optiomal_solution(UpperCAmelCase		,					optimal_solution[i][j] + 1		,					UpperCAmelCase					)
  print(''')'''		,					end=''' '''					)
def       __UpperCamelCase	(       ):
 lowercase__    :   List[Any]						= [30, 35, 15, 5, 10, 20, 25]
 lowercase__    :   Union[str, Any]						= len(UpperCAmelCase					)
 # Size of matrix created from above array will be
 # 30*35 35*15 15*5 5*10 10*20 20*25
 lowercase__			,							lowercase__    :   int						= matrix_chain_order(UpperCAmelCase					)

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


if __name__ == "__main__":
  main()


'''simple docstring'''

import re

from filelock import FileLock


try:
  import nltk

  __a:			Tuple	       =       True
except (ImportError, ModuleNotFoundError):
  __a:			List[Any]	       =       False

if NLTK_AVAILABLE:
  with FileLock(""".lock""") as lock:
    nltk.download("""punkt""", quiet=True)
def       __UpperCamelCase	(       UpperCAmelCase					):
 re.sub('''<n>'''		,					''''''		,					UpperCAmelCase					)  # remove pegasus newline char
 assert NLTK_AVAILABLE, "nltk must be installed to separate newlines between sentences. (pip install nltk)"
 return "\n".join(nltk.sent_tokenize(UpperCAmelCase					)					)

