[Data structure] The parent node representation of the tree and the child node chain representation

public class TreeParent<E> {
    public static class Node<T> {
        T data;
        // record the position of its parent node
        int parent;
        public Node () {

        }
        public Node (T data) {
            this.data = data;
        }
        public Node(T data, int parent) {
            this.data   = data;
            this.parent = parent;
        }
        public String toString() {
            return "TreeParent$Node[data=" + data + ", parent=" + parent + "]";
        }
    }

    private final int DEFAULT_TREE_SIZE = 100;
    private int treeSize = 0;
    // use a Node[] array to record all nodes in the tree
    private Node<E>[] nodes;
    // record the number of nodes
    private int nodeNums;
    // create tree with specified root node
    public TreeParent(E data) {
        treeSize = DEFAULT_TREE_SIZE;
        nodes = new Node[treeSize];
        nodes[0] = new Node<E>(data, -1);
        nodeNums ++;
    }
    // Create a tree with the specified root node and specified treeSize
    public TreeParent(E data, int treeSize) {
        this.treeSize = treeSize;
        nodes = new Node[treeSize];
        nodes[0] = new Node<E>(data, -1);
        nodeNums ++;
    }
    // add child nodes to the specified node
    public void addNode(E data, Node parent) {
        for (int i = 0; i < treeSize; i++) {
            // Find the first null element in the array that holds the new node
            if (nodes[i] == null) {
                // Create a new node and save it with the specified array element
                nodes[i] = new Node(data, pos(parent));
                nodeNums ++;
                return;
            }
        }
        throw new RuntimeException("The tree is full and new nodes cannot be added");
    }
    // Check if the tree is empty
    public boolean empty() {
        // Whether the root node is null
        return nodes[0] == null;
    }
    // return the root node
    public Node<E> root() {
        return nodes[0];
    }
    // Returns the parent node of the specified node (non-root node)
    public Node<E> parent(Node node) {
        // The parent of each node records the position of its parent node
        return nodes[node.parent];
    }
    // Returns all child nodes of the specified node (non-leaf node)
    public List<Node<E>> children(Node parent) {
        List<Node<E>> list = new ArrayList<Node<E>>();
        for (int i = 0; i < treeSize; i++) {
            // If the position of the current node's parent node is equal to the position of the parent node
            if (nodes[i] != null && nodes[i].parent == pos(parent)) {
                list.add(nodes[i]);
            }
        }
        return list;
    }
    // return the depth of the tree
    public int deep() {
        // Used to record the maximum depth of the node
        int max = 0;
        for (int i = 0; i < treeSize && nodes[i] != null; i++) {
            // Initialize the depth of this node
            int def = 1;
            // m records the position of the parent node of the current node
            int m = nodes[i].parent;
            // if its parent exists
            while (m != -1 && nodes[m] != null) {
                // Continue to search for the parent node upwards
                m = nodes[m].parent;
                def++;
            }
            if (max < def) {
                max = def;
            }
        }
        // return max depth
        return max;
    }
    // return the node containing the specified value
    public int pos(Node node) {
        for (int i = 0; i < treeSize; i++) {
            // find the specified node
            if (nodes[i] == node) {
                return i;
            }
        }
        return -1;
    }
}
public class TreeChild<E> {

   private static class SonNode {
       // record the position of the current node
       private int pos;
       private SonNode next;
       public SonNode(int pos, SonNode next) {
           this.pos = pos;
           this.next = next;
       }
   }
   public static class Node<T> {
       T data;
       // record the first child node
       SonNode first;
       public Node(T data) {
           this.data = data;
           this.first = null;
       }
       public String toString() {
           if (first != null) {
               return "ThreeChild$Node[data=" + data + ", first=" + first.pos + "]";
           } else {
               return "ThreeChild$Node[data=" + data + ", first=-1";
           }
       }
   }
   private final int DEFAULT_TREE_SIZE = 100;
   private int treeSize = 0;
   // use a Node[] array to record all nodes in the tree
   private Node<E>[] nodes;
   // record the number of nodes
   private int nodeNums;
   // create tree with specified root node
   public TreeChild(E data) {
       treeSize = DEFAULT_TREE_SIZE;
       nodes = new Node[treeSize];
       nodes[0] = new Node<E>(data);
       nodeNums ++;
   }
   // Create a tree with the specified root node and specified treeSize
   public TreeChild(E data, int treeSize) {
       this.treeSize = treeSize;
       nodes = new Node[treeSize];
       nodes[0] = new Node<E>(data);
       nodeNums ++;
   }
   // add child nodes to the specified node
   public void addNode(E data, Node parent) {
       for (int i = 0; i < treeSize; i++) {
           // Find the first null element in the array that holds the new node
           if (nodes[i] == null) {
               // Create a new node and save it with the specified array element
               nodes[i] = new Node(data);
               if (parent.first == null) {
                   parent.first = new SonNode(i, null);
               } else {
                   SonNode next = parent.first;
                   while (next.next != null) {
                       next = next.next;
                   }
                   next.next = new SonNode(i, null);
               }
               nodeNums ++;
               return;
           }
       }
       throw new RuntimeException("The tree is full and new nodes cannot be added");
   }
   // Check if the tree is empty
   public boolean empty() {
       // Whether the root node is null
       return nodes[0] == null;
   }
   // return the root node
   public Node<E> root() {
       // return the root node
       return nodes[0];
   }
   // Returns all child nodes of the specified node (non-leaf node)
   public List<Node<E>> children(Node parent) {
       List<Node<E>> list = new ArrayList<Node<E>>();
       // Get the first child node of the parent node
       SonNode next = parent.first;
       // Keep searching for the next child node along the child chain
       while (next != null) {
           // add node in child chain
           list.add(nodes[next.pos]);
           next = next.next;
       }
       return list;
   }
   // Returns the index-th child node of the specified node (non-leaf node)
   public Node<E> child(Node parent, int index) {
       // Get the first child node of the parent node
       SonNode next = parent.first;
       // Keep searching for the next child node along the child chain
       for (int i = 0; next != null; i++) {
           if (index == i) {
               return nodes[next.pos];
           }
           next = next.next;
       }
       return null;
   }
   // return the depth of the tree
   public int deep() {
       // Get the depth of the tree
       return deep(root());
   }
   // recursive method: the depth of each subtree is the maximum depth of all subtrees + 1
   private int deep(Node node) {
        if (node.first == null) {
            return 1;
        } else {
            // record the maximum depth of all its subtrees
            int max = 0;
            SonNode next = node.first;
            // Keep searching for the next child node along the child chain
            while (next != null) {
                // Get the depth of the subtree rooted at its child node
                int tmp = deep(nodes[next.pos]);
                if (tmp > max) {
                    max = tmp;
                }
                next = next.next;
            }
            // Finally return the maximum depth of all its subtrees + 1
            return max + 1;
        }
   }
   // return the node containing the specified value
   public int pos(Node node) {
        for (int i = 0; i < treeSize; i++) {
            // find the specified node
            if (nodes[i] == node) {
                return i;
            }
        }
        return -1;
   }
}
public class TreeTest {
    public static void main(String[] args) {
        TreeParent<String> tp = new TreeParent<String>("root");
        TreeParent.Node root = tp.root();
        System.out.println("Root element after initialization: " + root);
        tp.addNode("Node 1", root);
        System.out.println("The depth of this tree: " + tp.deep());
        tp.addNode("Node 2", root);
        // Get all child nodes of all root nodes
        List<TreeParent.Node<String>> nodes = tp.children(root);
        System.out.println("The first child of the root node: " + nodes.get(0));
        // Add a child node to the first child node of the root node
        tp.addNode("节点3", nodes.get(0));
        System.out.println("The depth of this tree: " + tp.deep());

        System.out.println("================================");
        TreeChild<String> tc = new TreeChild<String>("root");
        TreeChild.Node tcRoot = tc.root();
        System.out.println("Root node: " + tcRoot);
        tc.addNode("Node 1", tcRoot);
        tc.addNode("Node 2", tcRoot);
        tc.addNode("Node 3", tcRoot);
        System.out.println("Root node after adding child node: " + tcRoot);
        System.out.println("The depth of this tree: " + tc.deep());
        // Get all the child nodes of the root node
        List<TreeChild.Node<String>> nodes2 = tc.children(tcRoot);
        System.out.println("The first child of the root node: " + nodes2.get(0));
        // Add a child node to the first child node of the root node
        tc.addNode("节点4", nodes2.get(0));
        System.out.println("The first child of the root node: " + nodes2.get(0));
        System.out.println("The depth of this tree: " + tc.deep());
    }
}

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