海报制作app/seo课程哪个好
两种方法:
一、递归
有先序序列得到根节点的值,创建根节点,再递归构造左子树,右子树。 由先序得到根结点,再在中序序列找到根节点,根节点左边就是左子树,右边就是右子树。
在中序序列中找根节点,就可以用到哈希结构,这里是想得到她的坐标,所以value存坐标。
Java:
/*** 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 {private Map<Integer,Integer> indexMap;public TreeNode myBuildTree(int[] preorder,int[] inorder,int preLeft,int preRight,int inLeft,int inRight){if(preLeft>preRight||inLeft>inRight) return null;int pre_rootindex=preLeft;int in_rootindex=indexMap.get(preorder[preLeft]);TreeNode root=new TreeNode(preorder[preLeft]);root.left=myBuildTree(preorder,inorder,preLeft+1,in_rootindex-inLeft+pre_rootindex,inLeft,in_rootindex-1);root.right=myBuildTree(preorder,inorder,in_rootindex-inLeft+pre_rootindex+1,preRight,in_rootindex+1,inRight);return root;}public TreeNode buildTree(int[] preorder, int[] inorder) {int n=preorder.length;indexMap=new HashMap<Integer,Integer>();for(int i=0;i<n;i++){indexMap.put(inorder[i],i);}return myBuildTree(preorder,inorder,0,n-1,0,n-1);}
}
C++:
/*** Definition for a binary tree node.* struct TreeNode {* int val;* TreeNode *left;* TreeNode *right;* TreeNode() : val(0), left(nullptr), right(nullptr) {}* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}* };*/
class Solution {
private: unordered_map<int,int> indexMap;
public:TreeNode* buildTree(vector<int>& preorder, vector<int>& inorder) {int n=preorder.size();//indexMap=new HashMap<Integer,Integer>();for(int i=0;i<n;i++){indexMap.emplace(inorder[i],i);}return myBuildTree(preorder,inorder,0,n-1,0,n-1);}TreeNode* myBuildTree(vector<int> preorder,vector<int> inorder,int preLeft,int preRight,int inLeft,int inRight){if(preLeft>preRight||inLeft>inRight) return nullptr;int pre_rootindex=preLeft;int in_rootindex=indexMap.at(preorder[preLeft]);TreeNode *root=new TreeNode(preorder[preLeft]);root->left=myBuildTree(preorder,inorder,preLeft+1,in_rootindex-inLeft+pre_rootindex,inLeft,in_rootindex-1);root->right=myBuildTree(preorder,inorder,in_rootindex-inLeft+pre_rootindex+1,preRight,in_rootindex+1,inRight);return root;}
};
二、迭代,用到栈
先序:根左右 <-
中序:左根右 ->
题解见https://leetcode-cn.com/problems/construct-binary-tree-from-preorder-and-inorder-traversal/solution/xiang-xi-tong-su-de-si-lu-fen-xi-duo-jie-fa-by--22/
补充:当先序与中序相等时,此结点为某结点的右子树,寻找父节点的方法是:倒序遍历先序(栈中的先序),正序遍历中序,两者最后一个相等的结点即为父节点.
Java:
/*** 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 buildTree(int[] preorder, int[] inorder) {if(preorder==null||preorder.length==0) return null;TreeNode root=new TreeNode(preorder[0]);Deque<TreeNode> stack=new LinkedList<TreeNode>();stack.push(root);int inorderIndex=0;for(int i=1;i<preorder.length;i++){int preorderVal=preorder[i];//待判断的结点TreeNode node=stack.peek();//栈顶结点if(node.val!=inorder[inorderIndex]){//先序与中序不相等,则为左子树node.left=new TreeNode(preorderVal);stack.push(node.left);}else{//相等,则为某个节点的右子树,寻找该父节点while(!stack.isEmpty()&&stack.peek().val==inorder[inorderIndex]){node=stack.pop();inorderIndex++;}node.right=new TreeNode(preorderVal);stack.push(node.right);}}return root;}
}
C++:
/*** Definition for a binary tree node.* struct TreeNode {* int val;* TreeNode *left;* TreeNode *right;* TreeNode() : val(0), left(nullptr), right(nullptr) {}* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}* };*/
class Solution {
public:TreeNode* buildTree(vector<int>& preorder, vector<int>& inorder) {if(preorder.size()==0||inorder.size()==0) return nullptr;stack<TreeNode*> sta;TreeNode* root=new TreeNode(preorder[0]);sta.push(root);int inorderIndex=0;for(int i=1;i<preorder.size();i++){TreeNode* node=sta.top();if(node->val!=inorder[inorderIndex]){node->left=new TreeNode(preorder[i]);sta.push(node->left);}else{while(!sta.empty()&&sta.top()->val==inorder[inorderIndex]){node=sta.top();sta.pop();inorderIndex++;}node->right=new TreeNode(preorder[i]);sta.push(node->right);}}return root;}
};