





from collections import defaultdict




def      a__			(       lowercase__	):






   '''simple docstring'''






   UpperCAmelCase_           =1
   UpperCAmelCase_           =True
   for v in tree[start]:
      if v not in visited:
         ret += dfs(lowercase__	)
   if ret % 2 == 0:
      cuts.append(lowercase__	)
   return ret




def      a__			(       ):






   '''simple docstring'''






   dfs(1	)


if __name__ == "__main__":
     __lowercase   ,      __lowercase	: Any       =10, 9
     __lowercase	: str       =defaultdict(list)
     __lowercase	: dict[int, bool]       ={}
     __lowercase	: list[int]       =[]
     __lowercase	: List[str]       =0
     __lowercase	: int       =[(2, 1), (3, 1), (4, 3), (5, 2), (6, 1), (7, 2), (8, 6), (9, 8), (10, 8)]
     for u, v in edges:
          tree[u].append(v)
          tree[v].append(u)
     even_tree()
     print(len(cuts) - 1)









'''simple docstring'''





import string

def 			a_	(				_lowerCAmelCase			) -> str:
  __lowerCamelCase			:			Union[str, Any]       			=					''
  for i in sequence:
    __lowerCamelCase			:			Tuple       			=					ord(_lowerCAmelCase			)
    if 65 <= extract <= 90:
      output += chr(155 - extract			)
    elif 97 <= extract <= 122:
      output += chr(219 - extract			)
    else:
      output += i
  return output

def 			a_	(				_lowerCAmelCase			) -> str:
  __lowerCamelCase			:			Optional[Any]       			=					string.ascii_letters
  __lowerCamelCase			:			str       			=					string.ascii_lowercase[::-1] + string.ascii_uppercase[::-1]
  return "".join(
      letters_reversed[letters.index(_lowerCAmelCase			)] if c in letters else c for c in sequence			)

def 			a_	(				) -> None:
  from timeit import timeit

  print('Running performance benchmarks...'			)
  __lowerCamelCase			:			Tuple       			=					'from string import printable ; from __main__ import atbash, atbash_slow'
  print(F'> atbash_slow(): {timeit("atbash_slow(printable)"			,setup=_lowerCAmelCase			)} seconds'			)
  print(F'>      atbash(): {timeit("atbash(printable)"			,setup=_lowerCAmelCase			)} seconds'			)


if __name__ == "__main__":
   for example in ("ABCDEFGH", "123GGjj", "testStringtest", "with space"):
      print(f'''{example} encrypted in atbash: {atbash(example)}''')
   benchmark()






