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94. 二叉树的中序遍历
给定一个二叉树的根节点 root ,返回 它的 中序 遍历。
示例 1:
输入:root = [1,null,2,3] 输出:[1,3,2]
示例 2:
输入:root = [] 输出:[]
示例 3:
输入:root = [1] 输出:[1]
提示:
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树中节点数目在范围
[0, 100]内 -
-100 <= Node.val <= 100
进阶: 递归算法很简单,你可以通过迭代算法完成吗?
思路分析
迭代的方式,还不是很理解,还需要再思考思考。
迭代的办法就是用栈来模拟递归:有左节点就入栈;没有左节点就出栈,然后把有节点再入栈;以此类推。注意,入栈左右子树节点时,要把上下级的关联给斩断,否则会造成死循环。
| 看官方题解,如果使用两层循环就不需要改变树的结构。自己想一想怎么实现? |
“变形”莫里斯算法也是非常有趣:
| 详细介绍见: Morris 遍历。 |
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一刷
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二刷(递归)
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二刷(栈)
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三刷
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public List<Integer> inorderTraversal(TreeNode root) {
Stack<TreeNode> stack = new Stack<>();
List<Integer> result = new LinkedList<>();
TreeNode head = root;
while (head != null || !stack.empty()) {
if (head != null) {
stack.push(head);
head = head.left;
} else {
head = stack.pop();
result.add(head.val);
head = head.right;
}
}
return result;
}
/**
* Runtime: 0 ms, faster than 100.00% of Java online submissions for Binary Tree Inorder Traversal.
*
* Memory Usage: 34.8 MB, less than 100.00% of Java online submissions for Binary Tree Inorder Traversal.
*/
public List<Integer> inorderTraversal1(TreeNode root) {
List<Integer> result = new ArrayList<>();
Deque<TreeNode> stack = new LinkedList<>();
TreeNode current = root;
while (Objects.nonNull(current) || !stack.isEmpty()) {
while (Objects.nonNull(current)) {
stack.push(current);
current = current.left;
}
current = stack.pop();
result.add(current.val);
current = current.right;
}
return result;
}
/**
* Runtime: 0 ms, faster than 100.00% of Java online submissions for Binary Tree Inorder Traversal.
*
* Memory Usage: 34.7 MB, less than 100.00% of Java online submissions for Binary Tree Inorder Traversal.
*/
public List<Integer> inorderTraversalRecursion(TreeNode root) {
List<Integer> result = new ArrayList<>();
inorderTraversal(root, result);
return result;
}
public void inorderTraversal(TreeNode root, List<Integer> result) {
if (Objects.isNull(root)) {
return;
}
inorderTraversal(root.left, result);
result.add(root.val);
inorderTraversal(root.right, result);
}
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/**
* @author D瓜哥 · https://www.diguage.com
* @since 2024-06-14 11:30
*/
public List<Integer> inorderTraversal(TreeNode root) {
List<Integer> result = new ArrayList<>();
inorderTraversal(root, result);
return result;
}
public void inorderTraversal(TreeNode root, List<Integer> result) {
if (root == null) {
return;
}
inorderTraversal(root.left, result);
result.add(root.val);
inorderTraversal(root.right, result);
}
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/**
* @author D瓜哥 · https://www.diguage.com
* @since 2024-06-14 11:30
*/
public List<Integer> inorderTraversal(TreeNode root) {
List<Integer> result = new ArrayList<>();
Deque<TreeNode> stack = new LinkedList<>();
TreeNode head = root;
while (head != null || !stack.isEmpty()) {
if (head != null) {
stack.push(head);
head = head.left;
} else {
head = stack.pop();
result.add(head.val);
head = head.right;
}
}
return result;
}
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/**
* @author D瓜哥 · https://www.diguage.com
* @since 2025-11-13 23:12:08
*/
public List<Integer> inorderTraversal(TreeNode root) {
if (root == null) {
return Collections.emptyList();
}
List<Integer> result = new ArrayList<>();
Deque<TreeNode> stack = new LinkedList<>();
stack.push(root);
while (!stack.isEmpty()) {
TreeNode peek = stack.peek();
if (peek.left != null) {
stack.push(peek.left);
peek.left = null;
} else {
TreeNode pop = stack.pop();
result.add(pop.val);
if (pop.right != null) {
stack.push(pop.right);
pop.right = null;
}
}
}
return result;
}

