diff --git a/problems/0235.二叉搜索树的最近公共祖先.md b/problems/0235.二叉搜索树的最近公共祖先.md index a893c191..dffc89e6 100644 --- a/problems/0235.二叉搜索树的最近公共祖先.md +++ b/problems/0235.二叉搜索树的最近公共祖先.md @@ -313,63 +313,47 @@ func lowestCommonAncestor(root, p, q *TreeNode) *TreeNode { } ``` - -JavaScript版本 -> 递归 - +JavaScript版本: +1. 使用递归的方法 ```javascript -/** - * Definition for a binary tree node. - * function TreeNode(val) { - * this.val = val; - * this.left = this.right = null; - * } - */ - -/** - * @param {TreeNode} root - * @param {TreeNode} p - * @param {TreeNode} q - * @return {TreeNode} - */ var lowestCommonAncestor = function(root, p, q) { - if(root.val > p.val && root.val > q.val) - return lowestCommonAncestor(root.left, p , q); - else if(root.val < p.val && root.val < q.val) - return lowestCommonAncestor(root.right, p , q); - return root; -}; -``` - -> 迭代 - -```javascript -/** - * Definition for a binary tree node. - * function TreeNode(val) { - * this.val = val; - * this.left = this.right = null; - * } - */ - -/** - * @param {TreeNode} root - * @param {TreeNode} p - * @param {TreeNode} q - * @return {TreeNode} - */ -var lowestCommonAncestor = function(root, p, q) { - while(1) { - if(root.val > p.val && root.val > q.val) - root = root.left; - else if(root.val < p.val && root.val < q.val) - root = root.right; - else - break; + // 使用递归的方法 + // 1. 使用给定的递归函数lowestCommonAncestor + // 2. 确定递归终止条件 + if(root === null) { + return root; + } + if(root.val>p.val&&root.val>q.val) { + // 向左子树查询 + let left = lowestCommonAncestor(root.left,p,q); + return left !== null&&left; + } + if(root.valp.val&&root.val>q.val) { + root = root.left; + }else if(root.val { - if (root === null) - return; - inOrder(root.left); - - if (pre === null) - curCount = 1; - else if (pre.val === root.val) - curCount++; - else - curCount = 1; - pre = root; - - if (curCount === maxCount) - res.push(root.val); - - if (curCount > maxCount) { - maxCount = curCount; - res.splice(0, res.length); - res.push(root.val); +var findMode = function(root) { + // 使用递归中序遍历 + let map = new Map(); + // 1. 确定递归函数以及函数参数 + const traverTree = function(root) { + // 2. 确定递归终止条件 + if(root === null) { + return ; } - - inOrder(root.right); - return; + traverTree(root.left); + // 3. 单层递归逻辑 + map.set(root.val,map.has(root.val)?map.get(root.val)+1:1); + traverTree(root.right); } - inOrder(root); + traverTree(root); + //上面把数据都存储到map + //下面开始寻找map里面的 + // 定义一个最大出现次数的初始值为root.val的出现次数 + let maxCount = map.get(root.val); + // 定义一个存放结果的数组res + let res = []; + for(let [key,value] of map) { + // 如果当前值等于最大出现次数就直接在res增加该值 + if(value === maxCount) { + res.push(key); + } + // 如果value的值大于原本的maxCount就清空res的所有值,因为找到了更大的 + if(value>maxCount) { + res = []; + maxCount = value; + res.push(key); + } + } + return res; +}; +``` +不使用额外空间,利用二叉树性质,中序遍历(有序): +```javascript +var findMode = function(root) { + // 不使用额外空间,使用中序遍历,设置出现最大次数初始值为1 + let count = 0,maxCount = 1; + let pre = root,res = []; + // 1.确定递归函数及函数参数 + const travelTree = function(cur) { + // 2. 确定递归终止条件 + if(cur === null) { + return ; + } + travelTree(cur.left); + // 3. 单层递归逻辑 + if(pre.val === cur.val) { + count++; + }else { + count = 1; + } + pre = cur; + if(count === maxCount) { + res.push(cur.val); + } + if(count > maxCount) { + res = []; + maxCount = count; + res.push(cur.val); + } + travelTree(cur.right); + } + travelTree(root); return res; }; ```