




'''simple docstring'''





_SCREAMING_SNAKE_CASE							:   List[Any]      		= {
    "meter": "m",
    "kilometer": "km",
    "megametre": "Mm",
    "gigametre": "Gm",
    "terametre": "Tm",
    "petametre": "Pm",
    "exametre": "Em",
    "zettametre": "Zm",
    "yottametre": "Ym",
}
# Exponent of the factor(meter)
_SCREAMING_SNAKE_CASE							:   Optional[int]      		= {
    "m": 0,
    "km": 3,
    "Mm": 6,
    "Gm": 9,
    "Tm": 12,
    "Pm": 15,
    "Em": 18,
    "Zm": 21,
    "Ym": 24,
}


def      UpperCamelCase_(	snake_case							:       Optional[int]							,				snake_case							:       Optional[Any]							,				snake_case							:       Optional[Any]     ):

							'''simple docstring'''






							snake_case_						=      from_type.lower().strip("s"     )
							snake_case_						=      to_type.lower().strip("s"     )

							snake_case_						=      UNIT_SYMBOL.get(snake_case							,				snake_case     )
							snake_case_						=      UNIT_SYMBOL.get(snake_case							,				snake_case     )

							if from_sanitized not in METRIC_CONVERSION:
														snake_case_						=      (
														    f'Invalid \'from_type\' value: {from_type!r}.\n'
														    f'Conversion abbreviations are: {", ".join(snake_case     )}'
														)
														raise ValueError(snake_case     )
							if to_sanitized not in METRIC_CONVERSION:
														snake_case_						=      (
														    f'Invalid \'to_type\' value: {to_type!r}.\n'
														    f'Conversion abbreviations are: {", ".join(snake_case     )}'
														)
														raise ValueError(snake_case     )
							snake_case_						=      METRIC_CONVERSION[from_sanitized]
							snake_case_						=      METRIC_CONVERSION[to_sanitized]
							snake_case_						=      1

							if from_exponent > to_exponent:
														snake_case_						=      from_exponent - to_exponent
							else:
														snake_case_						=      -(to_exponent - from_exponent)

							return value * pow(1_0							,				snake_case     )


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

		testmod()





"""simple docstring"""


from math import pow






def 			__UpperCAmelCase    (	lowercase      ,lowercase      ,lowercase      ,lowercase      ,lowercase      ,):







  """simple docstring"""
  if current_sum == needed_sum:
    # If the sum of the powers is equal to needed_sum, then we have a solution.
    solutions_count += 1
    return current_sum, solutions_count

  _UpperCAmelCase         =					int(pow(lowercase      ,lowercase						)						)
  if current_sum + i_to_n <= needed_sum:
    # If the sum of the powers is less than needed_sum, then continue adding powers.
    current_sum += i_to_n
    _UpperCAmelCase       , _UpperCAmelCase         =					backtrack(
        lowercase      ,lowercase      ,current_number + 1      ,lowercase      ,lowercase						)
    current_sum -= i_to_n
  if i_to_n < needed_sum:
    # If the power of i is less than needed_sum, then try with the next power.
    _UpperCAmelCase       , _UpperCAmelCase         =					backtrack(
        lowercase      ,lowercase      ,current_number + 1      ,lowercase      ,lowercase						)
  return current_sum, solutions_count






def 			__UpperCAmelCase    (	lowercase      ,lowercase						):







  """simple docstring"""
  if not (1 <= needed_sum <= 10_00 and 2 <= power <= 10):
    raise ValueError(
        """Invalid input\n"""
        """needed_sum must be between 1 and 1000, power between 2 and 10."""						)

  return backtrack(lowercase      ,lowercase      ,1      ,0      ,0						)[1]  # Return the solutions_count


if __name__ == "__main__":
    import doctest

    doctest.testmod()
