
'''simple docstring'''

class       A   :





	def __init__(    self	:				Optional[int]							):


				"""simple docstring"""

				lowerCAmelCase__									=							{}
				# indexmap keys are an index and it's values are the number at that index
				lowerCAmelCase__									=							{}





	def 							__SCREAMING_SNAKE_CASE     (    self	:				str					,							__magic_name__	:				str					,							__magic_name__	:				Optional[int]							):


				"""simple docstring"""

				if isinstance(a__					,							(range, str)							):
							lowerCAmelCase__									=							list(a__							)
				elif not isinstance(a__					,							a__							):
							raise TypeError(
							    "binary_search_delete() only accepts either a list, range or str"							)

				lowerCAmelCase__									=							0
				lowerCAmelCase__									=							len(a__							) - 1

				while low <= high:
							lowerCAmelCase__									=							(low + high) // 2
							if array[mid] == item:
										array.pop(a__							)
										return array
							elif array[mid] < item:
										lowerCAmelCase__									=							mid + 1
							else:
										lowerCAmelCase__									=							mid - 1
				raise ValueError(
				    "Either the item is not in the array or the array was unsorted"							)





	def 							__SCREAMING_SNAKE_CASE     (    self	:				str					,							__magic_name__	:				Union[str, Any]					,							__magic_name__	:				Optional[Any]							):


				"""simple docstring"""

				if isinstance(a__					,							(range, str)							):
							lowerCAmelCase__									=							list(a__							)
				elif not isinstance(a__					,							a__							):
							raise TypeError(
							    "binary_search_insert() only accepts either a list, range or str"							)

				lowerCAmelCase__									=							0
				lowerCAmelCase__									=							len(a__							) - 1

				while low <= high:
							lowerCAmelCase__									=							(low + high) // 2
							if array[mid] == index:
										# If the item already exists in the array,
										# insert it after the existing item
										array.insert(mid + 1					,							a__							)
										return array
							elif array[mid] < index:
										lowerCAmelCase__									=							mid + 1
							else:
										lowerCAmelCase__									=							mid - 1

        # If the item doesn't exist in the array, insert it at the appropriate position
				array.insert(a__					,							a__							)
				return array





	def 							__SCREAMING_SNAKE_CASE     (    self	:				Union[str, Any]					,							__magic_name__	:				Union[str, Any]					,							__magic_name__	:				Any							):


				"""simple docstring"""

				if index in self.indexmap:
							lowerCAmelCase__									=							self.indexmap[index]
							if len(self.numbermap[n]							) == 1:
										del self.numbermap[n]
							else:
										lowerCAmelCase__									=							self.binary_search_delete(self.numbermap[n]					,							a__							)

        # Set new index
				lowerCAmelCase__									=							number

				# Number not seen before or empty so insert number value
				if number not in self.numbermap:
							lowerCAmelCase__									=							[index]

				# Here we need to perform a binary search insertion in order to insert
				# The item in the correct place
				else:
							lowerCAmelCase__									=							self.binary_search_insert(
							    self.numbermap[number]					,							a__							)







	def 							__SCREAMING_SNAKE_CASE     (    self	:				Any					,							__magic_name__	:				Any							):


				"""simple docstring"""

				return self.numbermap.get(a__					,							[-1]							)[0]


if __name__ == "__main__":
		import doctest

		doctest.testmod()












"""simple docstring"""


def SCREAMING_SNAKE_CASE_   (       )->		Tuple:
       _lowerCamelCase    	=					1

       while True:
              if (
                  sorted(str(snake_case		)		)
                  == sorted(str(2 * i		)		)
                  == sorted(str(3 * i		)		)
                  == sorted(str(4 * i		)		)
                  == sorted(str(5 * i		)		)
                  == sorted(str(6 * i		)		)
              ):
                     return i

              i += 1


if __name__ == "__main__":
      print(solution())






