def 	__lowerCamelCase							(				__a    : list		)      ->       list:
	_lowercase   =len(__a		)
	for cycle_start in range(0      ,							array_len - 1		):
		_lowercase   =array[cycle_start]

		_lowercase   =cycle_start
		for i in range(cycle_start + 1      ,							__a		):
			if array[i] < item:
				pos += 1

		if pos == cycle_start:
			continue

		while item == array[pos]:
			pos += 1

		_lowercase   ,  _lowercase   =item, array[pos]
		while pos != cycle_start:
			_lowercase   =cycle_start
			for i in range(cycle_start + 1      ,							__a		):
				if array[i] < item:
					pos += 1

			while item == array[pos]:
				pos += 1

			_lowercase   ,  _lowercase   =item, array[pos]

	return array


if __name__ == "__main__":
						assert cycle_sort([4, 5, 3, 2, 1]) == [1, 2, 3, 4, 5]
						assert cycle_sort([0, 1, -1_0, 1_5, 2, -2]) == [-1_0, -2, 0, 1, 2, 1_5]









"""simple docstring"""




from __future__ import annotations


def 	lowercase__  (      _UpperCAmelCase					)  ->      list[int]:






      '''simple docstring'''


      lowercase	:   Optional[Any]											= [0] * max_one

      for i in range(0						,   _UpperCAmelCase					):
            lowercase	:   List[Any]											= i

      for i in range(2						,   _UpperCAmelCase					):
            if totients[i] == i:
                  for j in range(_UpperCAmelCase						,   _UpperCAmelCase						,   _UpperCAmelCase					):
                        totients[j] -= totients[j] // i

      return totients


def 	lowercase__  (      _UpperCAmelCase						,   _UpperCAmelCase					)  ->      bool:






      '''simple docstring'''


      return sorted(str(_UpperCAmelCase					)					) == sorted(str(_UpperCAmelCase					)					)


def 	lowercase__  (      _UpperCAmelCase = 10_00_00_00					)  ->      int:






      '''simple docstring'''


      lowercase	:   Union[str, Any]											= 1  # i
      lowercase	:   Any											= 0  # φ(i)
      lowercase	:   int											= get_totients(max_n + 1					)

      for i in range(2						,   max_n + 1					):
            lowercase	:   Any											= totients[i]

            if i * min_denominator < min_numerator * t and has_same_digits(_UpperCAmelCase						,   _UpperCAmelCase					):
                  lowercase	:   List[Any]											= i
                  lowercase	:   Optional[Any]											= t

      return min_numerator


if __name__ == "__main__":
     print(f'''{solution() = }''')
