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@ -86,6 +86,7 @@
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* [二叉树:听说递归能做的,栈也能做!](https://mp.weixin.qq.com/s/c_zCrGHIVlBjUH_hJtghCg)
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* [二叉树:前中后序迭代方式的写法就不能统一一下么?](https://mp.weixin.qq.com/s/WKg0Ty1_3SZkztpHubZPRg)
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* [二叉树:层序遍历登场!](https://mp.weixin.qq.com/s/Gb3BjakIKGNpup2jYtTzog)
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* [二叉树:你真的会翻转二叉树么?](https://mp.weixin.qq.com/s/6gY1MiXrnm-khAAJiIb5Bg)
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(持续更新中....)
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BIN
pics/235.二叉搜索树的最近公共祖先.png
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pics/235.二叉搜索树的最近公共祖先.png
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* 107.二叉树的层次遍历II
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* 199.二叉树的右视图
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* 637.二叉树的层平均值
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* 589.N叉树的前序遍历
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* 429.N叉树的前序遍历
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* 515.在每个树行中找最大值
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虽然不能一口气打十个,打六个也还行。
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problems/0235.二叉搜索树的最近公共祖先.md
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98
problems/0235.二叉搜索树的最近公共祖先.md
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## 链接
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https://leetcode-cn.com/problems/lowest-common-ancestor-of-a-binary-search-tree/
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## 思路
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遇到这个题目首先想的是要是能自底向上查找就好了,这样就可以找到公共祖先了,可惜二叉树只能自上向低。
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那么自上相下查找的话,如何记录祖先呢?
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做过[236. 二叉树的最近公共祖先](https://leetcode-cn.com/problems/lowest-common-ancestor-of-a-binary-tree/)题目的同学,应该知道,只要判断一个节点的左子树里有p,右子树里有q,那么当前节点就是最近公共祖先。
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那么本题是二叉搜索树,二叉搜索树是有序的,那得好好利用一下这个特点。
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在有序树里,如果判断一个节点的左子树里有p,右子树里有q呢?
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其实只要从上到下遍历的时候,如果 (p->val <= cur->val && cur->val <= q->val)则说明该节点cur就是最近公共祖先了。
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理解这一点,本题就很好解了。
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如图所示
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<img src='../pics/235.二叉搜索树的最近公共祖先.png' width=600> </img></div>
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在遍历二叉搜索树的时候就是寻找区间[p->val, q->val](注意这里是左闭又闭)
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那么如果 cur->val 大于 p->val,同时 cur->val 大于q->val,那么就应该向左遍历。(因为我们此时不知道p和q谁大,所以两个都要判断)
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代码如下:
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```
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if (cur->val > p->val && cur->val > q->val) {
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return traversal(cur->left, p, q);
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}
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```
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如果 cur->val 小于 p->val,同时 cur->val 小于 q->val,那么就应该向右遍历。
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```
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} else if (cur->val < p->val && cur->val < q->val) {
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return traversal(cur->right, p, q);
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}
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```
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剩下的情况,我们就找到了区间使(p->val <= cur->val && cur->val <= q->val)或者是 (q->val <= cur->val && cur->val <= p->val)
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代码如下:
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```
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else {
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return cur;
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}
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```
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那么整体递归代码如下:
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## C++递归代码
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(我这里特意把递归的过程抽出一个函数traversal,这样代码更清晰,有助于读者理解。)
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```
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class Solution {
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private:
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TreeNode* traversal(TreeNode* cur, TreeNode* p, TreeNode* q) {
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if (cur->val > p->val && cur->val > q->val) {
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return traversal(cur->left, p, q);
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} else if (cur->val < p->val && cur->val < q->val) {
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return traversal(cur->right, p, q);
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} else return cur;
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}
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public:
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TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) {
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return traversal(root, p, q);
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}
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};
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```
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## C++迭代法代码
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同时给出一个迭代的版本,思想是一样的,代码如下:
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```
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class Solution {
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public:
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TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) {
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while(root) {
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if (root->val > p->val && root->val > q->val) {
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root = root->left;
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} else if (root->val < p->val && root->val < q->val) {
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root = root->right;
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} else return root;
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}
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return NULL;
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}
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};
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```
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6
problems/链表总结篇.md
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6
problems/链表总结篇.md
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* [关于链表,你该了解这些!](https://mp.weixin.qq.com/s/ntlZbEdKgnFQKZkSUAOSpQ)
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* [链表:听说用虚拟头节点会方便很多?](https://mp.weixin.qq.com/s/slM1CH5Ew9XzK93YOQYSjA)
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* [链表:一道题目考察了常见的五个操作!](https://mp.weixin.qq.com/s/Cf95Lc6brKL4g2j8YyF3Mg)
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* [链表:听说过两天反转链表又写不出来了?](https://mp.weixin.qq.com/s/pnvVP-0ZM7epB8y3w_Njwg)
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* [链表:环找到了,那入口呢?](https://mp.weixin.qq.com/s/_QVP3IkRZWx9zIpQRgajzA)
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