




'''simple docstring'''





def 					UpperCamelCase_(     snake_case							:	str							,    snake_case							:	List[str]					):

							'''simple docstring'''






							return (pointa[0] - pointa[0]) ** 2 + (pointa[1] - pointa[1]) ** 2


def 					UpperCamelCase_(     snake_case							:	Optional[Any]							,    snake_case							:	Tuple=0					):

							'''simple docstring'''






							return sorted(snake_case							,    key=lambda snake_case					: x[column]					)


def 					UpperCamelCase_(     snake_case							:	str							,    snake_case							:	Union[str, Any]							,    snake_case							:	Dict=float("inf"					)					):

							'''simple docstring'''






							for i in range(points_counts - 1					):
														for j in range(i + 1							,    snake_case					):
																					snake_case_      =				euclidean_distance_sqr(points[i]							,    points[j]					)
																					if current_dis < min_dis:
																												snake_case_      =				current_dis
							return min_dis


def 					UpperCamelCase_(     snake_case							:	List[Any]							,    snake_case							:	int							,    snake_case							:	List[Any]=float("inf"					)					):

							'''simple docstring'''






							for i in range(min(6							,    points_counts - 1					)							,    snake_case					):
														for j in range(max(0							,    i - 6					)							,    snake_case					):
																					snake_case_      =				euclidean_distance_sqr(points[i]							,    points[j]					)
																					if current_dis < min_dis:
																												snake_case_      =				current_dis
							return min_dis


def 					UpperCamelCase_(     snake_case							:	Optional[Any]							,    snake_case							:	str							,    snake_case							:	List[Any]					):

							'''simple docstring'''






							if points_counts <= 3:
														return dis_between_closest_pair(snake_case							,    snake_case					)

							# recursion
							snake_case_      =				points_counts // 2
							snake_case_      =				closest_pair_of_points_sqr(
							    snake_case							,    points_sorted_on_y[:mid]							,    snake_case					)
							snake_case_      =				closest_pair_of_points_sqr(
							    snake_case							,    points_sorted_on_y[mid:]							,    points_counts - mid					)
							snake_case_      =				min(snake_case							,    snake_case					)
							snake_case_      =				[]
							for point in points_sorted_on_x:
														if abs(point[0] - points_sorted_on_x[mid][0]					) < closest_pair_dis:
																					cross_strip.append(snake_case					)

							snake_case_      =				dis_between_closest_in_strip(
							    snake_case							,    len(snake_case					)							,    snake_case					)
							return min(snake_case							,    snake_case					)


def 					UpperCamelCase_(     snake_case							:	Dict							,    snake_case							:	List[str]					):

							'''simple docstring'''






							snake_case_      =				column_based_sort(snake_case							,    column=0					)
							snake_case_      =				column_based_sort(snake_case							,    column=1					)
							return (
							    closest_pair_of_points_sqr(
							        snake_case							,    snake_case							,    snake_case					)
							) ** 0.5


if __name__ == "__main__":
		_SCREAMING_SNAKE_CASE							:       int						=			[(2, 3), (12, 30), (40, 50), (5, 1), (12, 10), (3, 4)]
		print("Distance:", closest_pair_of_points(points, len(points)))










'''simple docstring'''





_SCREAMING_SNAKE_CASE							:       Optional[int]						=			"Alexander Joslin"

import operator as op

from .stack import Stack


def 					UpperCamelCase_(     snake_case							:	str					):

							'''simple docstring'''






							snake_case_      =				{"*": op.mul, "/": op.truediv, "+": op.add, "-": op.sub}

							snake_case_      =				Stack()
							snake_case_      =				Stack()

							for i in equation:
														if i.isdigit():
																					# RULE 1
																					operand_stack.push(int(snake_case					)					)
														elif i in operators:
																					# RULE 2
																					operator_stack.push(snake_case					)
														elif i == ")":
																					# RULE 4
																					snake_case_      =				operator_stack.peek()
																					operator_stack.pop()
																					snake_case_      =				operand_stack.peek()
																					operand_stack.pop()
																					snake_case_      =				operand_stack.peek()
																					operand_stack.pop()

																					snake_case_      =				operators[opr](snake_case							,    snake_case					)
																					operand_stack.push(snake_case					)

    # RULE 5
							return operand_stack.peek()


if __name__ == "__main__":
		_SCREAMING_SNAKE_CASE							:       List[Any]						=			"(5 + ((4 * 2) * (2 + 3)))"
		# answer = 45
		print(F"{equation} = {dijkstras_two_stack_algorithm(equation)}")




