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Algorithm

94. Binary Tree Inorder Traversal

Description

Given the root of a binary tree, return the inorder traversal of its nodes' values.

Example 1:

Input: root = [1,null,2,3]
Output: [1,3,2]

Example 2:

Input: root = []
Output: []

Example 3:

Input: root = [1]
Output: [1]

Example 4:

Input: root = [1,2]
Output: [2,1]

Example 5:

Input: root = [1,null,2]
Output: [1,2]

Constraints:

  • The number of nodes in the tree is in the range [0, 100].
  • -100 <= Node.val <= 100

Follow up:

  • Recursive solution is trivial, could you do it iteratively?

Solution

递归操作1:帮助理解dfs

class Solution {
    List<Integer>res=new LinkedList<Integer>();

    private void dfs(TreeNode root){
        if(root!=null){
            dfs(root.left);
            res.add(root.val);
            dfs(root.right);
        }
    }

    public List<Integer> inorderTraversal(TreeNode root) {
        dfs(root);
        return res;
    }
}

递归操作2:

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    List<Integer> result = new ArrayList<>();
    public List<Integer> inorderTraversal(TreeNode root) {
        if(root!=null){
            inorderTraversal(root.left);
            result.add(root.val);
            inorderTraversal(root.right);
        }
        return result;
    }
}

非递归操作

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    public List<Integer> inorderTraversal(TreeNode root) {
      List<Integer> list = new ArrayList<Integer>();
      Stack<TreeNode> stack = new Stack<TreeNode>();
      while(root!=null || !stack.empty()){
         while(root!=null){
            stack.push(root);
            root = root.left;
         }
         root = stack.pop();
         list.add(root.val);
         root = root.right;
      }
      return list;
    }
}

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