代码随想录二刷第十九天 | 二叉树的遍历(前序、中序、后序、层序)

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二叉树的递归遍历

题目:

144. 二叉树的前序遍历 - 力扣(LeetCode)

94. 二叉树的中序遍历 - 力扣(LeetCode)

145. 二叉树的后序遍历 - 力扣(LeetCode)

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:

144. 二叉树的前序遍历 - 力扣(LeetCode)

94. 二叉树的中序遍历 - 力扣(LeetCode)

145. 二叉树的后序遍历 - 力扣(LeetCode)

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:

144. 二叉树的前序遍历 - 力扣(LeetCode)

94. 二叉树的中序遍历 - 力扣(LeetCode)

145. 二叉树的后序遍历 - 力扣(LeetCode)

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;
    }
}