





'''simple docstring'''

from __future__ import annotations

__lowerCAmelCase							:	List[Any]			=[
    [-1, 0],  # left
    [0, -1],  # down
    [1, 0],  # right
    [0, 1],  # up
]





def 						UpperCamelCase				(							_lowerCamelCase					:					list[list[int]]						,       _lowerCamelCase					:					list[int]						,       _lowerCamelCase					:					list[int]						,       _lowerCamelCase					:					int						,       _lowerCamelCase					:					list[list[int]]						,       ):
    A__				=			[
        [0 for col in range(len(grid[0]       )       )] for row in range(len(lowerCAmelCase__       )       )
    ]  # the reference grid
    A__				=			1
    A__				=			[
        [0 for col in range(len(grid[0]       )       )] for row in range(len(lowerCAmelCase__       )       )
    ]  # the action grid

    A__				=			init[0]
    A__				=			init[1]
    A__				=			0
    A__				=			g + heuristic[x][y]  # cost from starting cell to destination cell
    A__				=			[[f, g, x, y]]

    A__				=			False  # flag that is set when search is complete
    A__				=			False  # flag set if we can't find expand

    while not found and not resign:
        if len(lowerCAmelCase__       ) == 0:
            raise ValueError("Algorithm is unable to find solution"       )
        else:  # to choose the least costliest action so as to move closer to the goal
            cell.sort()
            cell.reverse()
            A__				=			cell.pop()
            A__				=			next_cell[2]
            A__				=			next_cell[3]
            A__				=			next_cell[1]

            if x == goal[0] and y == goal[1]:
                A__				=			True
            else:
                for i in range(len(lowerCAmelCase__       )       ):  # to try out different valid actions
                    A__				=			x + DIRECTIONS[i][0]
                    A__				=			y + DIRECTIONS[i][1]
                    if xa >= 0 and xa < len(lowerCAmelCase__       ) and ya >= 0 and ya < len(grid[0]       ):
                        if closed[xa][ya] == 0 and grid[xa][ya] == 0:
                            A__				=			g + cost
                            A__				=			ga + heuristic[xa][ya]
                            cell.append([fa, ga, xa, ya]       )
                            A__				=			1
                            A__				=			i
    A__				=			[]
    A__				=			goal[0]
    A__				=			goal[1]
    invpath.append([x, y]       )  # we get the reverse path from here
    while x != init[0] or y != init[1]:
        A__				=			x - DIRECTIONS[action[x][y]][0]
        A__				=			y - DIRECTIONS[action[x][y]][1]
        A__				=			xa
        A__				=			ya
        invpath.append([x, y]       )

    A__				=			[]
    for i in range(len(lowerCAmelCase__       )       ):
        path.append(invpath[len(lowerCAmelCase__       ) - 1 - i]       )
    return path, action


if __name__ == "__main__":
  __lowerCAmelCase							:	Optional[int]			=[
      [0, 1, 0, 0, 0, 0],
      [0, 1, 0, 0, 0, 0],  # 0 are free path whereas 1's are obstacles
      [0, 1, 0, 0, 0, 0],
      [0, 1, 0, 0, 1, 0],
      [0, 0, 0, 0, 1, 0],
  ]

  __lowerCAmelCase							:	Union[str, Any]			=[0, 0]
  # all coordinates are given in format [y,x]
  __lowerCAmelCase							:	int			=[len(grid) - 1, len(grid[0]) - 1]
  __lowerCAmelCase							:	Optional[Any]			=1

  # the cost map which pushes the path closer to the goal
  __lowerCAmelCase							:	Union[str, Any]			=[[0 for row in range(len(grid[0]))] for col in range(len(grid))]
  for i in range(len(grid)):
    for j in range(len(grid[0])):
      __lowerCAmelCase							:	str			=abs(i - goal[0]) + abs(j - goal[1])
      if grid[i][j] == 1:
        # added extra penalty in the heuristic map
        __lowerCAmelCase							:	str			=99

  __lowerCAmelCase							:	List[str]			=search(grid, init, goal, cost, heuristic)

  print("ACTION MAP")
  for i in range(len(action)):
    print(action[i])

  for i in range(len(path)):
    print(path[i])








"""simple docstring"""







from __future__ import annotations

def 				UpperCamelCase_    (    lowerCAmelCase__      :				list[int]    ,   lowerCAmelCase__      :				int						)						->   bool:

  """simple docstring"""




  if len(lowerCAmelCase__						) == 0:
    return False
  lowerCAmelCase_   :				Union[str, Any]								= len(lowerCAmelCase__						) // 2
  if a_list[midpoint] == item:
    return True
  if item < a_list[midpoint]:
    return binary_search(a_list[:midpoint]    ,   lowerCAmelCase__						)
  else:
    return binary_search(a_list[midpoint + 1 :]    ,   lowerCAmelCase__						)


if __name__ == "__main__":
     lowercase__		:				str          =	input("""Enter numbers separated by comma:\n""").strip()
     lowercase__		:				Optional[int]          =	[int(item.strip()) for item in user_input.split(""",""")]
     lowercase__		:				Optional[Any]          =	int(input("""Enter the number to be found in the list:\n""").strip())
     lowercase__		:				int          =	"""""" if binary_search(sequence, target) else """not """
     print(f'{target} was {not_str}found in {sequence}')





