

from __future__ import annotations


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__ ):
						snake_case_     =			{1}
						snake_case_     =			[1]
						for _ in range(2						,	depth + 1 ):
												snake_case_     =			[*previous_coefficients, 0]
												snake_case_     =			[0, *previous_coefficients]
												snake_case_     =			[]
												for x, y in zip(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__ ):
																		coefficients.add(x + y )
																		previous_coefficients.append(x + y )
						return coefficients


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__ ):
						snake_case_     =			set()
						for number in unique_coefficients:
												snake_case_     =			2
												snake_case_     =			number
												while divisor**2 <= copy_number:
																		snake_case_     =			0
																		while copy_number % divisor == 0:
																								copy_number //= divisor
																								multiplicity += 1
																		if multiplicity >= 2:
																								non_squarefrees.add(SCREAMING_SNAKE_CASE__ )
																								break
																		divisor += 1

						return unique_coefficients.difference(SCREAMING_SNAKE_CASE__ )


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__ = 51 ):
						snake_case_     =			get_pascal_triangle_unique_coefficients(SCREAMING_SNAKE_CASE__ )
						snake_case_     =			get_squarefrees(SCREAMING_SNAKE_CASE__ )
						return sum(SCREAMING_SNAKE_CASE__ )


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


lowerCAmelCase_ 			=			(1, 1_53, 3_70, 3_71, 16_34, 24_67_80_51, 1_15_13_22_19_01_87_63_99_25_65_09_55_97_97_39_71_52_24_01)
lowerCAmelCase_ 			=			(-1_53, -1, 0, 1.2, 2_00, "A", [], {}, None)


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__ ):
						if not isinstance(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__ ) or n < 1:
												return False

						# Initialization of sum and number of digits.
						snake_case_     =			0
						snake_case_     =			0
						snake_case_     =			n
						# Calculation of digits of the number
						while temp > 0:
												number_of_digits += 1
												temp //= 10
						# Dividing number into separate digits and find Armstrong number
						snake_case_     =			n
						while temp > 0:
												snake_case_     =			temp % 10
												total += rem**number_of_digits
												temp //= 10
						return n == total


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__ ):
						if not isinstance(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__ ) or n < 1:
												return False

						# Init a "histogram" of the digits
						snake_case_     =			[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
						snake_case_     =			0
						snake_case_     =			0
						snake_case_     =			n
						while temp > 0:
												snake_case_,					snake_case_     =			divmod(SCREAMING_SNAKE_CASE__						,	10 )
												digit_histogram[rem] += 1
												digit_total += 1

						for cnt, i in zip(SCREAMING_SNAKE_CASE__						,	range(len(SCREAMING_SNAKE_CASE__ ) ) ):
												total += cnt * i**digit_total

						return n == total


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__ ):
						if not isinstance(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__ ) or n < 1:
												return False
						snake_case_     =			len(str(SCREAMING_SNAKE_CASE__ ) )  # the power that all digits will be raised to
						# check if sum of each digit multiplied expo times is equal to number
						return n == sum(int(SCREAMING_SNAKE_CASE__ ) ** expo for i in str(SCREAMING_SNAKE_CASE__ ) )


def 						__SCREAMING_SNAKE_CASE      ():
						snake_case_     =			int(input('''Enter an integer to see if it is an Armstrong number: ''' ).strip() )
						print(F'''{num} is {'' if armstrong_number(SCREAMING_SNAKE_CASE__ ) else 'not '}an Armstrong number.''' )
						print(F'''{num} is {'' if narcissistic_number(SCREAMING_SNAKE_CASE__ ) else 'not '}an Armstrong number.''' )
						print(F'''{num} is {'' if pluperfect_number(SCREAMING_SNAKE_CASE__ ) else 'not '}an Armstrong number.''' )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()