二叉树迭代遍历

一、前序遍历:

思想:先创建一个Stack用来存放节点,此时Stack为空,先将root结点放入stack,前序遍历是先根后左再右,结合栈的先进后出的特点,再入栈的应该是右节点,因此判断若结点的右子树不为空则入栈,再判断左子树进行入栈,代码示例:

 public List preorderTraversal(TreeNode root) {
         Stack stack = new Stack<>();
        List list = new LinkedList<>();
        if(root == null){
            return list;
        }
        stack.push(root);
        while(!stack.isEmpty()){
            TreeNode node = stack.pop();
            list.add(node.val);
            if(node.right != null){
                stack.push(node.right);
            }
            if(node.left != null){
                stack.push(node.left);
            }
        }
        return list;
    }

二、中序遍历

思想:创建一个Stack,然后按左中右添加进链表,尽可能的将这个节点的左子树入栈,此时栈顶的元素是最左侧的元素,如果有右节点,也要进行中序遍历。

 public List inorderTraversal(TreeNode root) {
        List list = new LinkedList<>();
        Stack stack = new Stack<>();
        TreeNode cur = root;
        while(!stack.isEmpty() || cur != null){
            while(cur != null){
                stack.push(cur);
                cur = cur.left;
            }
            TreeNode node = stack.pop();
            list.add(node.val);
            if(node.right != null){
                cur = node.right;
            }
        }
        return list;
    }

三、后序遍历

  public List postorderTraversal(TreeNode root) {
  LinkedList stack = new LinkedList<>();
    LinkedList output = new LinkedList<>();
    if (root == null) {
      return output;
    }

    stack.add(root);
    while (!stack.isEmpty()) {
      TreeNode node = stack.pollLast();
      output.addFirst(node.val);
      if (node.left != null) {
        stack.add(node.left);
      }
      if (node.right != null) {
        stack.add(node.right);
      }
    }
    return output;
    }

 

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