• Invert Binary Tree


    Invert a binary tree.

         4
       /   
      2     7
     /    / 
    1   3 6   9

    to

         4
       /   
      7     2
     /    / 
    9   6 3   1

    Trivia:
    This problem was inspired by this original tweet by Max Howell:

    Google: 90% of our engineers use the software you wrote (Homebrew), but you can’t invert a binary tree on a whiteboard so fuck off.

    Analyse: the same as Binary Tree Level Order Traversal except that we need to swap the left and right subtrees of the current node.

    1. Recursion: First swap the left and right subtree of the roots, then recursively swap the left and right subtrees of them...

        Runtime: 0ms.

     1 /**
     2  * Definition for a binary tree node.
     3  * struct TreeNode {
     4  *     int val;
     5  *     TreeNode *left;
     6  *     TreeNode *right;
     7  *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
     8  * };
     9  */
    10 class Solution {
    11 public:
    12     TreeNode* invertTree(TreeNode* root) {
    13         if(!root) return NULL;
    14         
    15         TreeNode* leftSub = root->left; //swap the left and right subtree of the root
    16         root->left = root->right;
    17         root->right = leftSub;
    18         invertTree(root->left);
    19         invertTree(root->right);
    20         
    21         return root;
    22     }
    23 };

    2. Iteration: swap the left and right subtree of the current node and push the new left and right subtree into a queue. 

        Runtime: 0ms.

     1 /**
     2  * Definition for a binary tree node.
     3  * struct TreeNode {
     4  *     int val;
     5  *     TreeNode *left;
     6  *     TreeNode *right;
     7  *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
     8  * };
     9  */
    10 class Solution {
    11 public:
    12     TreeNode* invertTree(TreeNode* root) {
    13         if(!root) return NULL;
    14         
    15         queue<TreeNode* > qu;
    16         qu.push(root);
    17         while(!qu.empty()){
    18             int n = qu.size();
    19             while(n--){
    20                 TreeNode* temp = qu.front();
    21                 qu.pop();
    22                 TreeNode* tempLeft = temp->left; //swap the left and right subtree of the current root
    23                 temp->left = temp->right;
    24                 temp->right = tempLeft;
    25                 
    26                 if(temp->left) qu.push(temp->left); //push the original right subtree of the root first
    27                 if(temp->right) qu.push(temp->right); //continuously do the process until all nodes are visited
    28             }
    29         }
    30         return root;
    31     }
    32 };
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  • 原文地址:https://www.cnblogs.com/amazingzoe/p/4696985.html
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