



def 	UpperCAmelCase__      (      UpperCAmelCase__ :Optional[int] ,					UpperCAmelCase__ :Dict					)     ->   list:






 '''simple docstring'''

 a						=		word.split()

 def justify(UpperCAmelCase__ :Tuple ,					UpperCAmelCase__ :Dict ,					UpperCAmelCase__ :int					) -> str:
  a						=		max_width - width
  a						=		len(__snake_case					)
  if len(__snake_case					) == 1:
   # if there is only word in line
   # just insert overall_spaces_count for the remainder of line
   return line[0] + " " * overall_spaces_count
  else:
   a						=		words_count - 1
   # num_spaces_between_words_list[i] : tells you to insert
   # num_spaces_between_words_list[i] spaces
   # after word on line[i]
   a						=		spaces_to_insert_between_words * [
       overall_spaces_count // spaces_to_insert_between_words
   ]
   a						=		(
       overall_spaces_count % spaces_to_insert_between_words
   )
   # distribute spaces via round robin to the left words
   for i in range(__snake_case					):
    num_spaces_between_words_list[i] += 1
   a						=		[]
   for i in range(__snake_case					):
    # add the word
    aligned_words_list.append(line[i]					)
    # add the spaces to insert
    aligned_words_list.append(num_spaces_between_words_list[i] * " "					)
   # just add the last word to the sentence
   aligned_words_list.append(line[-1]					)
   # join the aligned words list to form a justified line
   return "".join(__snake_case					)

 a						=		[]
 a						=		[]
 a						=		0
 for word in words:
  if width + len(__snake_case					) + len(__snake_case					) <= max_width:
   # keep adding words until we can fill out max_width
   # width = sum of length of all words (without overall_spaces_count)
   # len(word) = length of current word
   # len(line) = number of overall_spaces_count to insert between words
   line.append(__snake_case					)
   width += len(__snake_case					)
  else:
   # justify the line and add it to result
   answer.append(justify(__snake_case ,					__snake_case ,					__snake_case					)					)
   # reset new line and new width
   a		,  a						=		[word], len(__snake_case					)
 a						=		max_width - width - len(__snake_case					)
 answer.append(" ".join(__snake_case					) + (remaining_spaces + 1) * " "					)
 return answer


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

     testmod()






def 	UpperCAmelCase__      (      UpperCAmelCase__ :Any					):






 '''simple docstring'''

 if not head:
  return True
 # split the list to two parts
 a		,  a						=		head.next, head
 while fast and fast.next:
  a						=		fast.next.next
  a						=		slow.next
 a						=		slow.next
 a						=		None  # Don't forget here! But forget still works!
 # reverse the second part
 a						=		None
 while second:
  a						=		second.next
  a						=		node
  a						=		second
  a						=		nxt
 # compare two parts
 # second part has the same or one less node
 while node:
  if node.val != head.val:
   return False
  a						=		node.next
  a						=		head.next
 return True


def 	UpperCAmelCase__      (      UpperCAmelCase__ :str					):






 '''simple docstring'''

 if not head or not head.next:
  return True

 # 1. Get the midpoint (slow)
 a						=		a						=		a						=		head
 while fast and fast.next:
  a		,  a						=		fast.next.next, slow.next

 # 2. Push the second half into the stack
 a						=		[slow.val]
 while slow.next:
  a						=		slow.next
  stack.append(slow.val					)

 # 3. Comparison
 while stack:
  if stack.pop() != cur.val:
   return False
  a						=		cur.next

 return True




def 	UpperCAmelCase__      (      UpperCAmelCase__ :Any					):






 '''simple docstring'''

 if not head or not head.next:
  return True
 a						=		{}
 a						=		0
 while head:
  if head.val in d:
   d[head.val].append(UpperCAmelCase__					)
  else:
   a						=		[pos]
  a						=		head.next
  pos += 1
 a						=		pos - 1
 a						=		0
 for v in d.values():
  if len(UpperCAmelCase__					) % 2 != 0:
   middle += 1
  else:
   a						=		0
   for i in range(0 ,					len(UpperCAmelCase__					)					):
    if v[i] + v[len(UpperCAmelCase__					) - 1 - step] != checksum:
     return False
    step += 1
  if middle > 1:
   return False
 return True

