


'''simple docstring'''
from math import sqrt







def 			a_							(  UpperCamelCase_   ):
							A_ 						=		[1]
							for i in range(2	,     int(sqrt(lowercase_   )   ) + 1	,     1   ):
														if number % i == 0:
																					values.append(lowercase_   )
																					if int(number // i   ) != i:
																												values.append(int(number // i   )   )
							return sorted(lowercase_   )







def 			a_							(  UpperCamelCase_   ):
							return sum(factors(lowercase_   )   ) > n







def 			a_							(  UpperCamelCase_   ):
							A_ 						=		factors(lowercase_   )
							A_ 						=		len(lowercase_   )
							A_ 						=		[[0 for i in range(number + 1   )] for j in range(r + 1   )]
							for i in range(r + 1   ):
														A_ 						=		True

							for i in range(1	,     number + 1   ):
														A_ 						=		False

							for i in range(1	,     r + 1   ):
														for j in range(1	,     number + 1   ):
																					if j < values[i - 1]:
																												A_ 						=		subset[i - 1][j]
																					else:
																												A_ 						=		subset[i - 1][j] or subset[i - 1][j - values[i - 1]]

							return subset[r][number] != 0







def 			a_							(  UpperCamelCase_   ):
							return abundant(lowercase_   ) and not semi_perfect(lowercase_   )


if __name__ == "__main__":
							import doctest

							doctest.testmod(verbose=True)
							for number in (69, 70, 71):
														print(F"{number} is {'' if weird(number) else 'not '}weird.")









'''simple docstring'''
def 			a_							(  UpperCamelCase_	,     UpperCamelCase_ = 1_0_0_0   ):
							if (not isinstance(UpperCamelCase_	,     UpperCamelCase_   )) or (digit_position <= 0):
														raise ValueError("Digit position must be a positive integer"   )
							elif (not isinstance(UpperCamelCase_	,     UpperCamelCase_   )) or (precision < 0):
														raise ValueError("Precision must be a nonnegative integer"   )

							# compute an approximation of (16 ** (n - 1)) * pi whose fractional part is mostly
							# accurate
							A_ 						=		(
							    4 * _subsum(UpperCamelCase_	,     1	,     UpperCamelCase_   )
							    - 2 * _subsum(UpperCamelCase_	,     4	,     UpperCamelCase_   )
							    - _subsum(UpperCamelCase_	,     5	,     UpperCamelCase_   )
							    - _subsum(UpperCamelCase_	,     6	,     UpperCamelCase_   )
							)

							# return the first hex digit of the fractional part of the result
							return hex(int((sum_result % 1) * 1_6   )   )[2:]







def 			a_							(  UpperCamelCase_	,     UpperCamelCase_	,     UpperCamelCase_   ):
							A_ 						=		0.0
							for sum_index in range(digit_pos_to_extract + precision   ):
														A_ 						=		8 * sum_index + denominator_addend
														if sum_index < digit_pos_to_extract:
																					# if the exponential term is an integer and we mod it by the denominator
																					# before dividing, only the integer part of the sum will change;
																					# the fractional part will not
																					A_ 						=		pow(
																					    1_6	,     digit_pos_to_extract - 1 - sum_index	,     UpperCamelCase_   )
														else:
																					A_ 						=		pow(1_6	,     digit_pos_to_extract - 1 - sum_index   )
														total += exponential_term / denominator
							return total


if __name__ == "__main__":
							import doctest

							doctest.testmod()





