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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _print(self, tree, prefix, carryon):
 """Compute and print a new line of the tree. This is a recursive function. arguments tree -- tree to print prefix -- prefix to the current line to print carryon -- prefix which is used to carry on the vertical lines """

        level = prefix.count(self.cross) + prefix.count(self.vline)
        len_children = 0
        if isinstance(tree , _Node):
            len_children = len(tree.children)

        # add vertex
        prefix += str(tree)
        # and as many spaces as the vertex is long
        carryon += self.space * len(str(tree))
        if (level == self.maxdepth) or (not isinstance(tree, _Node)) or\
           (len_children == 0):
            self.stream.write(prefix+'\n')
            return
        else:
            # add in between connections
            prefix += self.hline
            carryon += self.space
            # if there is more than one branch, add a cross
            if len(tree.children) > 1:
                prefix += self.cross
                carryon += self.vline
            prefix += self.hline
            carryon += self.space

            if len_children > 0:
                # print the first branch (on the same line)
                self._print(tree.children[0], prefix, carryon)
                for b in range(1, len_children):
                    # the caryon becomes the prefix for all following children
                    prefix = carryon[:-2] + self.cross + self.hline
                    # remove the vlines for any children of last branch
                    if b == (len_children-1):
                        carryon = carryon[:-2] + 2*self.space
                    self._print(tree.children[b], prefix, carryon)
                    # leave a free line before the next branch
                    if b == (len_children-1):
                        if len(carryon.strip(' ')) == 0:
                            return
                        self.stream.write(carryon[:-2].rstrip()+'\n')