求最小公共祖先,需要从底向上遍历,那么二叉树,只能通过后序遍历(即:回溯)实现从底向上的遍历方式。
在回溯的过程中,必然要遍历整棵二叉树,即使已经找到结果了,依然要把其他节点遍历完,因为要使用递归函数的返回值(也就是代码中的left和right)做逻辑判断。
要理解如果返回值left为空,right不为空为什么要返回right,为什么可以用返回right传给上一层结果

/*** Definition for a binary tree node.* public class TreeNode {* int val;* TreeNode left;* TreeNode right;* TreeNode(int x) { val = x; }* }*/
class Solution {public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) {if( root==null || root ==p|| root== q){return root;}TreeNode left = lowestCommonAncestor(root.left,p,q);TreeNode right = lowestCommonAncestor(root.right,p,q);if( right== null&& left== null)return null;else if( left ==null && right !=null)return right;else if(right ==null &&left!=null)return left;elsereturn root;}
}
只要遍历二叉搜索树,找到空节点 插入元素就可以了,那么这道题其实就简单了。

/*** 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 TreeNode insertIntoBST(TreeNode root, int val) {if( root ==null){return new TreeNode(val);}if( val>root.val)root.right = insertIntoBST(root.right,val); if( val
分成了五种情况进行讨论
if( root.left ==null) return root.right;if( root.right ==null ) return root.left;TreeNode tmp = root.right
while( root.left !=null)
{tmp. left = root.left}root.val = tmp.val;root.right = delete( root.right,tmp.val);}return root;
上面是部分代码的梗概

/*** 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 TreeNode deleteNode(TreeNode root, int key) {root =delete(root,key);return root;}public TreeNode delete(TreeNode root, int key){if( root ==null)return null;// 左搜索if( root.val> key)root.left = delete(root.left,key);//右搜索else if( root.val root.right = delete(root.right,key);}else //平层的逻辑{if( root.left ==null) return root.right;if(root.right ==null ) return root.left;TreeNode temp = root.right;while(temp.left!=null){temp=temp.left;}root.val = temp.val;root.right = delete(root.right,temp.val);}return root;}
}

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