二叉树的递归遍历
题目:
题解:代码随想录
状态:需要注意下递归的停止条件
代码
时间复杂度:O(N) 空间复杂度:O(N)
// 前序遍历
class Solution {
public List<Integer> preorderTraversal(TreeNode root) {
List<Integer> result = new ArrayList<Integer>();
preorder(root, result);
return result;
}
public void preorder(TreeNode root, List<Integer> result) {
if (root == null) {
return;
}
result.add(root.val);
preorder(root.left, result);
preorder(root.right, result);
}
}
// 中序遍历
class Solution {
public List<Integer> inorderTraversal(TreeNode root) {
List<Integer> res = new ArrayList<>();
inorder(root, res);
return res;
}
void inorder(TreeNode root, List<Integer> list) {
if (root == null) {
return;
}
inorder(root.left, list);
list.add(root.val);
inorder(root.right, list);
}
}
// 后序遍历
class Solution {
public List<Integer> postorderTraversal(TreeNode root) {
List<Integer> res = new ArrayList<>();
postorder(root, res);
return res;
}
void postorder(TreeNode root, List<Integer> list) {
if (root == null) {
return;
}
postorder(root.left, list);
postorder(root.right, list);
list.add(root.val);
}
}
二叉树的迭代遍历
题目:
题解:代码随想录
状态:注意后序遍历的反转、中序遍历的技巧
思路
借助栈来解决
代码
时间复杂度:O(N) 空间复杂度:O(N)
// 前序遍历顺序:中-左-右,入栈顺序:中-右-左
class Solution {
public List<Integer> preorderTraversal(TreeNode root) {
List<Integer> result = new ArrayList<>();
if (root == null){
return result;
}
Stack<TreeNode> stack = new Stack<>();
stack.push(root);
while (!stack.isEmpty()){
TreeNode node = stack.pop();
result.add(node.val);
if (node.right != null){
stack.push(node.right);
}
if (node.left != null){
stack.push(node.left);
}
}
return result;
}
}
// 中序遍历顺序: 左-中-右 入栈顺序: 左-右
class Solution {
public List<Integer> inorderTraversal(TreeNode root) {
List<Integer> result = new ArrayList<>();
if (root == null){
return result;
}
Stack<TreeNode> stack = new Stack<>();
TreeNode cur = root;
while (cur != null || !stack.isEmpty()){
if (cur != null){
stack.push(cur);
cur = cur.left;
}else{
cur = stack.pop();
result.add(cur.val);
cur = cur.right;
}
}
return result;
}
}
// 后序遍历顺序 左-右-中 入栈顺序:中-左-右 出栈顺序:中-右-左, 最后翻转结果
class Solution {
public List<Integer> postorderTraversal(TreeNode root) {
List<Integer> result = new ArrayList<>();
if (root == null){
return result;
}
Stack<TreeNode> stack = new Stack<>();
stack.push(root);
while (!stack.isEmpty()){
TreeNode node = stack.pop();
result.add(node.val);
if (node.left != null){
stack.push(node.left);
}
if (node.right != null){
stack.push(node.right);
}
}
Collections.reverse(result);
return result;
}
}
二叉树的统一迭代法
题目:
题解:代码随想录
状态:注意null的出入栈逻辑
思路
要处理的节点放入栈之后,紧接着放入一个空指针作为标记
代码
时间复杂度:O(N) 空间复杂度:O(N)
// 前序遍历
class Solution {
public List<Integer> preorderTraversal(TreeNode root) {
List<Integer> res = new ArrayList<>();
if(root == null) return res;
Stack<TreeNode> stack = new Stack<>();
stack.push(root);
while(!stack.isEmpty()){
TreeNode node = stack.peek();
if(node != null){
stack.pop();
if(node.right != null) stack.push(node.right);
if(node.left != null) stack.push(node.left);
stack.push(node);
stack.push(null);
}else{
stack.pop();
node = stack.pop();
res.add(node.val);
}
}
return res;
}
}
// 中序遍历
class Solution {
public List<Integer> inorderTraversal(TreeNode root) {
List<Integer> res = new ArrayList<>();
if(root == null) return res;
Stack<TreeNode> stack = new Stack<>();
stack.push(root);
while(!stack.isEmpty()){
TreeNode node = stack.peek();
if(node != null){
stack.pop();
if(node.right != null) stack.push(node.right);
stack.push(node);
stack.push(null);
if(node.left != null) stack.push(node.left);
}else{
stack.pop();
node = stack.pop();
res.add(node.val);
}
}
return res;
}
}
// 后序遍历
class Solution {
public List<Integer> postorderTraversal(TreeNode root) {
List<Integer> res = new ArrayList<>();
if(root == null) return res;
Stack<TreeNode> stack = new Stack<>();
stack.push(root);
while(!stack.isEmpty()){
TreeNode node = stack.peek();
if(node != null){
stack.push(null);
if(node.right != null) stack.push(node.right);
if(node.left != null) stack.push(node.left);
}else{
stack.pop();
node = stack.pop();
res.add(node.val);
}
}
return res;
}
}
二叉树的层序遍历
题目:102. 二叉树的层序遍历 - 力扣(LeetCode)
题解:代码随想录
状态:AC
思路
迭代遍历:借助队列,注意是offer和poll
代码
时间复杂度:O(N) 空间复杂度:O(N)
// 迭代遍历-借助队列
class Solution {
public List<List<Integer>> levelOrder(TreeNode root) {
List<List<Integer>> res = new ArrayList<>();
if(root == null) return res;
Deque<TreeNode> queue = new LinkedList<>();
queue.offer(root);
while(!queue.isEmpty()){
int size = queue.size();
List<Integer> temp = new ArrayList<>();
while(size > 0){
TreeNode node = queue.poll();
temp.add(node.val);
if(node.left != null) queue.offer(node.left);
if(node.right != null) queue.offer(node.right);
size--;
}
res.add(temp);
}
return res;
}
}