
import math




def 					__magic_name__					(  __lowerCAmelCase      :		List[str]				)     ->  Tuple:
				return math.sqrt(A__				) * math.sqrt(A__				) == num




def 					__magic_name__					(  __lowerCAmelCase      :		Optional[Any]				)     ->  str:
				__lowerCamelCase          =      0
				__lowerCamelCase          =      n
				while left <= right:
								__lowerCamelCase          =      (left + right) // 2
								if mid**2 == n:
												return True
								elif mid**2 > n:
												__lowerCamelCase          =      mid - 1
								else:
												__lowerCamelCase          =      mid + 1
				return False


if __name__ == "__main__":
					import doctest

					doctest.testmod()





'''simple docstring'''
def      UpperCamelCase_				(      A__  ,      A__  ,      A__						):

	def count_of_possible_combinations(A__						) -> int:
		if target < 0:
			return 0
		if target == 0:
			return 1
		return sum(count_of_possible_combinations(target - item						) for item in array						)

	return count_of_possible_combinations(A__						)






def      UpperCamelCase_				(      A__  ,      A__  ,      A__						):

	def count_of_possible_combinations_with_dp_array(
	    A__  ,      A__						) -> int:
		if target < 0:
			return 0
		if target == 0:
			return 1
		if dp_array[target] != -1:
			return dp_array[target]
		a_      				=						sum(
		    count_of_possible_combinations_with_dp_array(target - item  ,      A__						)
		    for item in array						)
		a_      				=						answer
		return answer

	a_      				=						[-1] * (target + 1)
	return count_of_possible_combinations_with_dp_array(A__  ,      A__						)






def      UpperCamelCase_				(      A__  ,      A__  ,      A__						):
	a_      				=						[0] * (target + 1)
	a_      				=						1

	for i in range(1  ,      target + 1						):
		for j in range(A__						):
			if i - array[j] >= 0:
				dp_array[i] += dp_array[i - array[j]]

	return dp_array[target]


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		lowercase__											=3
		lowercase__											=5
		lowercase__											=[1, 2, 5]
		print(combination_sum_iv(n, array, target))
