/**
   * A helper to add an entire subtree to a given dependency tree.
   *
   * @param toModify The tree to add the subtree to.
   * @param root The root of the tree where we should be adding the subtree.
   * @param rel The relation to add the subtree with.
   * @param originalTree The orignal tree (i.e., {@link ClauseSplitterSearchProblem#tree}).
   * @param subject The root of the clause to add.
   * @param ignoredEdges The edges to ignore adding when adding this subtree.
   */
  private static void addSubtree(
      SemanticGraph toModify,
      IndexedWord root,
      String rel,
      SemanticGraph originalTree,
      IndexedWord subject,
      Collection<SemanticGraphEdge> ignoredEdges) {
    if (toModify.containsVertex(subject)) {
      return; // This subtree already exists.
    }
    Queue<IndexedWord> fringe = new LinkedList<>();
    Collection<IndexedWord> wordsToAdd = new ArrayList<>();
    Collection<SemanticGraphEdge> edgesToAdd = new ArrayList<>();
    // Search for subtree to add
    for (SemanticGraphEdge edge : originalTree.outgoingEdgeIterable(subject)) {
      if (!ignoredEdges.contains(edge)) {
        if (toModify.containsVertex(edge.getDependent())) {
          // Case: we're adding a subtree that's not disjoint from toModify. This is bad news.
          return;
        }
        edgesToAdd.add(edge);
        fringe.add(edge.getDependent());
      }
    }
    while (!fringe.isEmpty()) {
      IndexedWord node = fringe.poll();
      wordsToAdd.add(node);
      for (SemanticGraphEdge edge : originalTree.outgoingEdgeIterable(node)) {
        if (!ignoredEdges.contains(edge)) {
          if (toModify.containsVertex(edge.getDependent())) {
            // Case: we're adding a subtree that's not disjoint from toModify. This is bad news.
            return;
          }
          edgesToAdd.add(edge);
          fringe.add(edge.getDependent());
        }
      }
    }
    // Add subtree
    // (add subject)
    toModify.addVertex(subject);
    toModify.addEdge(
        root,
        subject,
        GrammaticalRelation.valueOf(Language.English, rel),
        Double.NEGATIVE_INFINITY,
        false);

    // (add nodes)
    wordsToAdd.forEach(toModify::addVertex);
    // (add edges)
    for (SemanticGraphEdge edge : edgesToAdd) {
      assert !toModify.incomingEdgeIterator(edge.getDependent()).hasNext();
      toModify.addEdge(
          edge.getGovernor(),
          edge.getDependent(),
          edge.getRelation(),
          edge.getWeight(),
          edge.isExtra());
    }
  }
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  /**
   * Fix some bizarre peculiarities with certain trees. So far, these include:
   *
   * <ul>
   *   <li>Sometimes there's a node from a word to itself. This seems wrong.
   * </ul>
   *
   * @param tree The tree to clean (in place!).
   * @return A list of extra edges, which are valid but were removed.
   */
  public static List<SemanticGraphEdge> cleanTree(SemanticGraph tree) {
    //    assert !isCyclic(tree);

    // Clean nodes
    List<IndexedWord> toDelete = new ArrayList<>();
    for (IndexedWord vertex : tree.vertexSet()) {
      // Clean punctuation
      if (vertex.tag() == null) {
        continue;
      }
      char tag = vertex.backingLabel().tag().charAt(0);
      if (tag == '.' || tag == ',' || tag == '(' || tag == ')' || tag == ':') {
        if (!tree.outgoingEdgeIterator(vertex)
            .hasNext()) { // This should really never happen, but it does.
          toDelete.add(vertex);
        }
      }
    }
    toDelete.forEach(tree::removeVertex);

    // Clean edges
    Iterator<SemanticGraphEdge> iter = tree.edgeIterable().iterator();
    while (iter.hasNext()) {
      SemanticGraphEdge edge = iter.next();
      if (edge.getDependent().index() == edge.getGovernor().index()) {
        // Clean self-edges
        iter.remove();
      } else if (edge.getRelation().toString().equals("punct")) {
        // Clean punctuation (again)
        if (!tree.outgoingEdgeIterator(edge.getDependent())
            .hasNext()) { // This should really never happen, but it does.
          iter.remove();
        }
      }
    }

    // Remove extra edges
    List<SemanticGraphEdge> extraEdges = new ArrayList<>();
    for (SemanticGraphEdge edge : tree.edgeIterable()) {
      if (edge.isExtra()) {
        if (tree.incomingEdgeList(edge.getDependent()).size() > 1) {
          extraEdges.add(edge);
        }
      }
    }
    extraEdges.forEach(tree::removeEdge);

    // Add apposition edges (simple coref)
    for (SemanticGraphEdge extraEdge :
        new ArrayList<>(extraEdges)) { // note[gabor] prevent concurrent modification exception
      for (SemanticGraphEdge candidateAppos : tree.incomingEdgeIterable(extraEdge.getDependent())) {
        if (candidateAppos.getRelation().toString().equals("appos")) {
          extraEdges.add(
              new SemanticGraphEdge(
                  extraEdge.getGovernor(),
                  candidateAppos.getGovernor(),
                  extraEdge.getRelation(),
                  extraEdge.getWeight(),
                  extraEdge.isExtra()));
        }
      }
      for (SemanticGraphEdge candidateAppos : tree.outgoingEdgeIterable(extraEdge.getDependent())) {
        if (candidateAppos.getRelation().toString().equals("appos")) {
          extraEdges.add(
              new SemanticGraphEdge(
                  extraEdge.getGovernor(),
                  candidateAppos.getDependent(),
                  extraEdge.getRelation(),
                  extraEdge.getWeight(),
                  extraEdge.isExtra()));
        }
      }
    }

    // Brute force ensure tree
    // Remove incoming edges from roots
    List<SemanticGraphEdge> rootIncomingEdges = new ArrayList<>();
    for (IndexedWord root : tree.getRoots()) {
      for (SemanticGraphEdge incomingEdge : tree.incomingEdgeIterable(root)) {
        rootIncomingEdges.add(incomingEdge);
      }
    }
    rootIncomingEdges.forEach(tree::removeEdge);
    // Loop until it becomes a tree.
    boolean changed = true;
    while (changed) { // I just want trees to be trees; is that so much to ask!?
      changed = false;
      List<IndexedWord> danglingNodes = new ArrayList<>();
      List<SemanticGraphEdge> invalidEdges = new ArrayList<>();

      for (IndexedWord vertex : tree.vertexSet()) {
        // Collect statistics
        Iterator<SemanticGraphEdge> incomingIter = tree.incomingEdgeIterator(vertex);
        boolean hasIncoming = incomingIter.hasNext();
        boolean hasMultipleIncoming = false;
        if (hasIncoming) {
          incomingIter.next();
          hasMultipleIncoming = incomingIter.hasNext();
        }

        // Register actions
        if (!hasIncoming && !tree.getRoots().contains(vertex)) {
          danglingNodes.add(vertex);
        } else {
          if (hasMultipleIncoming) {
            for (SemanticGraphEdge edge : new IterableIterator<>(incomingIter)) {
              invalidEdges.add(edge);
            }
          }
        }
      }

      // Perform actions
      for (IndexedWord vertex : danglingNodes) {
        tree.removeVertex(vertex);
        changed = true;
      }
      for (SemanticGraphEdge edge : invalidEdges) {
        tree.removeEdge(edge);
        changed = true;
      }
    }

    // Return
    assert isTree(tree);
    return extraEdges;
  }