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题目1链接
题目1:
思路:使用前序确定根,使用中序分左右子树,分治法。
难点:如何控制递归确定左右子树。
/*** 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) {}* };*///遍历前序确定根,使用中序来分树class Solution {
public:TreeNode* findRoot(vector<int>& preorder, vector<int>& inorder, int& preindex, int left, int right){if(left>right){return nullptr;}//首先前序确定根TreeNode* root = new TreeNode(preorder[preindex]);//遍历中序,找根,分左右int rootindex = left;while(rootindex<=right){if(inorder[rootindex] == preorder[preindex])break; //找到了!rootindex++;}preindex++;// [left, rootindex-1] rootindex [rootindex+1, right]root->left = findRoot(preorder, inorder, preindex, left, rootindex-1);root->right = findRoot(preorder, inorder, preindex, rootindex+1, right);return root;}TreeNode* buildTree(vector<int>& preorder, vector<int>& inorder) {int i = 0;return findRoot(preorder, inorder, i,0, inorder.size()-1);}
};
题目2链接
题目2:
题目1会了,题目二就一定会了!
注意:后序(左右根)从后往前确定根,中序分左右子树。
递归时,先遍历右子树,再遍历左子树。
/*** 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* findRoot(vector<int>& inorder, vector<int>& postorder, int& postindex, int left, int right){if(left>right){return nullptr;}//首先后序确定根TreeNode* root = new TreeNode(postorder[postindex]);//遍历中序,找根,分左右int rootindex = left;while(rootindex<=right){if(inorder[rootindex] == postorder[postindex])break; //找到了!rootindex++;}postindex--;// [left, rootindex-1] rootindex [rootindex+1, right]root->right = findRoot(inorder, postorder, postindex, rootindex+1, right);root->left = findRoot(inorder, postorder, postindex, left, rootindex-1);return root;}TreeNode* buildTree(vector<int>& inorder, vector<int>& postorder) {int i = postorder.size() - 1;return findRoot(inorder, postorder, i, 0, inorder.size()-1);}
};