def getaddchild(puzzle, puzzlenode):
""" Adds children to a node if there are extensions to a puzzle. If there are no extensions, returns NONE
@type: Puzzle, PuzzleNode
children = puzzle.extensions()
if not children:
for child in children:
Return a path from PuzzleNode(puzzle) to a PuzzleNode containing
a solution, with each child containing an extension of the puzzle
in its parent. Return None if this is not possible.
@type puzzle: Puzzle
path = 
return _dfs(puzzle, path)
def _dfs(puzzle, path):
node = PuzzleNode(type(puzzle), None, None)
if node not in path:
for child in node.children:
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