

from __future__ import annotations

A__						=							list[tuple[int, int]]

A__						=							[
    [0, 0, 0, 0, 0, 0, 0],
    [0, 1, 0, 0, 0, 0, 0],  # 0 are free path whereas 1's are obstacles
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 1, 0, 0, 0, 0],
    [1, 0, 1, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 1, 0, 0],
]

A__						=							([-1, 0], [0, -1], [1, 0], [0, 1])  # up, left, down, right

class 				__UpperCamelCase				:







	def __init__(   self: Any  , __UpperCamelCase: int  , __UpperCamelCase: int  , __UpperCamelCase: int  , __UpperCamelCase: int  , __UpperCamelCase: float  , __UpperCamelCase: Node | None  , ):

						'''simple docstring'''





						__magic_name__							=    pos_x
						__magic_name__							=    pos_y
						__magic_name__							=    (pos_y, pos_x)
						__magic_name__							=    goal_x
						__magic_name__							=    goal_y
						__magic_name__							=    g_cost
						__magic_name__							=    parent
						__magic_name__							=    self.calculate_heuristic()







	def 	_SCREAMING_SNAKE_CASE							(   self: int      ):

						'''simple docstring'''





						__magic_name__							=    abs(self.pos_x - self.goal_x      )
						__magic_name__							=    abs(self.pos_y - self.goal_y      )
						return dx + dy







	def __lt__(   self: Optional[int]  , __UpperCamelCase: int      ):

						'''simple docstring'''





						return self.f_cost < other.f_cost




class 				__UpperCamelCase				:







	def __init__(   self: List[str]  , __UpperCamelCase: tuple[int, int]  , __UpperCamelCase: tuple[int, int]      ):

						'''simple docstring'''





						__magic_name__							=    Node(start[1]  , start[0]  , goal[1]  , goal[0]  , 0  , __UpperCamelCase      )
						__magic_name__							=    Node(goal[1]  , goal[0]  , goal[1]  , goal[0]  , 9_99_99  , __UpperCamelCase      )

						__magic_name__							=    [self.start]
						__magic_name__							=    []

						__magic_name__							=    False







	def 	_SCREAMING_SNAKE_CASE							(   self: List[Any]      ):

						'''simple docstring'''





						while self.open_nodes:
											# Open Nodes are sorted using __lt__
											self.open_nodes.sort()
											__magic_name__							=    self.open_nodes.pop(0      )

											if current_node.pos == self.target.pos:
																__magic_name__							=    True
																return self.retrace_path(__UpperCamelCase      )

											self.closed_nodes.append(__UpperCamelCase      )
											__magic_name__							=    self.get_successors(__UpperCamelCase      )

											for child_node in successors:
																if child_node in self.closed_nodes:
																					continue

																if child_node not in self.open_nodes:
																					self.open_nodes.append(__UpperCamelCase      )
																else:
																					# retrieve the best current path
																					__magic_name__							=    self.open_nodes.pop(self.open_nodes.index(__UpperCamelCase      )      )

																					if child_node.g_cost < better_node.g_cost:
																										self.open_nodes.append(__UpperCamelCase      )
																					else:
																										self.open_nodes.append(__UpperCamelCase      )

						if not self.reached:
											return [self.start.pos]
						return None







	def 	_SCREAMING_SNAKE_CASE							(   self: List[str]  , __UpperCamelCase: Node      ):

						'''simple docstring'''





						__magic_name__							=    []
						for action in delta:
											__magic_name__							=    parent.pos_x + action[1]
											__magic_name__							=    parent.pos_y + action[0]

											if not (0 <= pos_x <= len(grid[0]      ) - 1 and 0 <= pos_y <= len(__UpperCamelCase      ) - 1):
																continue

											if grid[pos_y][pos_x] != 0:
																continue

											successors.append(
											    Node(
											        __UpperCamelCase  , __UpperCamelCase  , self.target.pos_y  , self.target.pos_x  , parent.g_cost + 1  , __UpperCamelCase  , )      )
						return successors







	def 	_SCREAMING_SNAKE_CASE							(   self: Tuple  , __UpperCamelCase: Node | None      ):

						'''simple docstring'''





						__magic_name__							=    node
						__magic_name__							=    []
						while current_node is not None:
											path.append((current_node.pos_y, current_node.pos_x)      )
											__magic_name__							=    current_node.parent
						path.reverse()
						return path


if __name__ == "__main__":
						A__						=							(0, 0)
						A__						=							(len(grid) - 1, len(grid[0]) - 1)
						for elem in grid:
												print(elem)

						print("------")

						A__						=							GreedyBestFirst(init, goal)
						A__						=							greedy_bf.search()
						if path:
												for pos_x, pos_y in path:
																		A__						=							2

												for elem in grid:
																		print(elem)







import os

A__						=							{"I": 1, "V": 5, "X": 10, "L": 50, "C": 100, "D": 500, "M": 1000}




def 					_lowercase     (				a_				:					str				)				->	int:




					'''simple docstring'''







					__magic_name__							=    0

					__magic_name__							=    0
					while index < len(a_				) - 1:
										__magic_name__							=    SYMBOLS[numerals[index]]
										__magic_name__							=    SYMBOLS[numerals[index + 1]]
										if current_value < next_value:
															total_value -= current_value
										else:
															total_value += current_value
										index += 1
					total_value += SYMBOLS[numerals[index]]

					return total_value




def 					_lowercase     (				a_				:					int				)				->	str:




					'''simple docstring'''







					__magic_name__							=    ''

					__magic_name__							=    num // 1_0_0_0
					numerals += m_count * "M"
					num %= 1_0_0_0

					__magic_name__							=    num // 1_0_0
					if c_count == 9:
										numerals += "CM"
										c_count -= 9
					elif c_count == 4:
										numerals += "CD"
										c_count -= 4
					if c_count >= 5:
										numerals += "D"
										c_count -= 5
					numerals += c_count * "C"
					num %= 1_0_0

					__magic_name__							=    num // 1_0
					if x_count == 9:
										numerals += "XC"
										x_count -= 9
					elif x_count == 4:
										numerals += "XL"
										x_count -= 4
					if x_count >= 5:
										numerals += "L"
										x_count -= 5
					numerals += x_count * "X"
					num %= 1_0

					if num == 9:
										numerals += "IX"
										num -= 9
					elif num == 4:
										numerals += "IV"
										num -= 4
					if num >= 5:
										numerals += "V"
										num -= 5
					numerals += num * "I"

					return numerals




def 					_lowercase     (				a_				:					str = "/p089_roman.txt"				)				->	int:




					'''simple docstring'''







					__magic_name__							=    0

					with open(os.path.dirname(a_				) + roman_numerals_filename				) as filea:
										__magic_name__							=    filea.readlines()

					for line in lines:
										__magic_name__							=    line.strip()
										__magic_name__							=    parse_roman_numerals(a_				)
										__magic_name__							=    generate_roman_numerals(a_				)
										savings += len(a_				) - len(a_				)

					return savings


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




