




_lowerCamelCase     :		Optional[int]								=       {
    'A': ['B', 'C', 'E'],
    'B': ['A', 'D', 'E'],
    'C': ['A', 'F', 'G'],
    'D': ['B'],
    'E': ['A', 'B', 'D'],
    'F': ['C'],
    'G': ['C'],
}







def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_			,    lowercase_						)       ->	List[str]:



       """simple docstring"""

       A__							=   set()
       # keep track of all the paths to be checked
       A__							=   [[start]]

       # return path if start is goal
       if start == goal:
              return [start]

       # keeps looping until all possible paths have been checked
       while queue:
              # pop the first path from the queue
              A__							=   queue.pop(0						)
              # get the last node from the path
              A__							=   path[-1]
              if node not in explored:
                     A__							=   graph[node]
                     # go through all neighbour nodes, construct a new path and
                     # push it into the queue
                     for neighbour in neighbours:
                            A__							=   list(lowercase__						)
                            new_path.append(lowercase__						)
                            queue.append(lowercase__						)
                            # return path if neighbour is goal
                            if neighbour == goal:
                                   return new_path

            # mark node as explored
                     explored.add(lowercase__						)

    # in case there's no path between the 2 nodes
       return []







def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_			,    lowercase_						)       ->	List[str]:



       """simple docstring"""

       if not graph or start not in graph or target not in graph:
              return -1
       if start == target:
              return 0
       A__							=   [start]
       A__							=   set(lowercase__						)
       # Keep tab on distances from `start` node.
       A__							=   {start: 0, target: -1}
       while queue:
              A__							=   queue.pop(0						)
              if node == target:
                     A__							=   (
                         dist[node] if dist[target] == -1 else min(dist[target]			,    dist[node]						)
                     )
              for adjacent in graph[node]:
                     if adjacent not in visited:
                            visited.add(lowercase__						)
                            queue.append(lowercase__						)
                            A__							=   dist[node] + 1
       return dist[target]


if __name__ == "__main__":
  print(bfs_shortest_path(demo_graph, """G""", """D"""))  # returns ['G', 'C', 'A', 'B', 'D']
  print(bfs_shortest_path_distance(demo_graph, """G""", """D"""))  # returns 4







def SCREAMING_SNAKE_CASE    (	lowercase_ = 50						)       ->	int:



       """simple docstring"""

       A__							=   [1] * (length + 1)

       for row_length in range(3			,    length + 1						):
              for block_length in range(3			,    row_length + 1						):
                     for block_start in range(row_length - block_length						):
                            ways_number[row_length] += ways_number[
                                row_length - block_start - block_length - 1
                            ]

                     ways_number[row_length] += 1

       return ways_number[length]


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


