

def  lowerCamelCase__ (					_a = 1000000):
	SCREAMING_SNAKE_CASE   :      Optional[int]				     =       limit + 1
	SCREAMING_SNAKE_CASE   :      List[Any]				     =       [0] * limit
	for first_term in range(1							,			_a):
		for n in range(_a							,			_a							,			_a):
			SCREAMING_SNAKE_CASE   :      List[str]				     =       first_term + n / first_term
			if common_difference % 4:  # d must be divisble by 4
				continue
			else:
				common_difference /= 4
				if (
				    first_term > common_difference
				    and first_term < 4 * common_difference
				):  # since x,y,z are positive integers
					frequency[n] += 1  # so z>0 and a>d ,also 4d<a

	SCREAMING_SNAKE_CASE   :      Optional[Any]				     =       sum(1 for x in frequency[1:limit] if x == 10)

	return count


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


import math

def  lowerCamelCase__ (					_a							,			_a):
	if (
	    not isinstance(_a							,			(int, float))
	    or power_factor < -1
	    or power_factor > 1
	):
		raise ValueError("power_factor must be a valid float value between -1 and 1.")
	return apparent_power * power_factor

def  lowerCamelCase__ (					_a							,			_a):
	if (
	    not isinstance(_a							,			(int, float))
	    or power_factor < -1
	    or power_factor > 1
	):
		raise ValueError("power_factor must be a valid float value between -1 and 1.")
	return apparent_power * math.sqrt(1 - power_factor**2)


if __name__ == "__main__":
			import doctest

			doctest.testmod()