def METHOD_NAME(self) -> Sequence[int]:
    """Record the decisions made in the underlying tree and return
    a prefix that can be used for the next Chooser to be used."""
    self.__finished = True
    assert len(self.__node_trail) == len(self.__choices) + 1
    result = tuple(self.__choices)
    self.__node_trail[-1].live_child_count = 0
    while len(self.__node_trail) > 1 and self.__node_trail[-1].exhausted:
        self.__node_trail.pop()
        assert len(self.__node_trail) == len(self.__choices)
        i = self.__choices.pop()
        target = self.__node_trail[-1]
        target.children[i] = DeadNode
        assert target.live_child_count is not None
        target.live_child_count -= 1
    return result