给定前序遍历和中序遍历,要求重建二叉树
例如输入前序遍历序列{1,2,4,7,3,5,6,8}和中序遍历序列{4,7,2,1,5,3,8,6}。
算法思路是从前序遍历中找到树的根节点,然后在中序遍历中划分出左右子树,从前序遍历中再找到子树的根节点,然后从中序遍历中划分出子树的左右子树,循环往复。在递归回溯的时候将左右子树赋值给根节点的左右子树指针。
/** * Definition for binary tree * struct TreeNode { * int val; * TreeNode *left; * TreeNode *right; * TreeNode(int x) : val(x), left(NULL), right(NULL) {} * }; */ class Solution { public: int nowPos = 0; TreeNode *rebuildTree(vector<int> inOrder, vector<int>preOrder, int l, int r){ if(l > r){ return NULL; } TreeNode *tree = new TreeNode(preOrder[nowPos]); int i = l;
//找子树根节点在中序遍历中的位置 for(; i<=r; i++){ if(inOrder[i] == preOrder[nowPos]){ break; } } nowPos++;
//回溯赋值子树 tree->left = rebuildTree(inOrder, preOrder, l, i-1); //划分左右子树 tree->right = rebuildTree(inOrder, preOrder, i+1, r); return tree; } TreeNode* reConstructBinaryTree(vector<int> pre,vector<int> vin) { return rebuildTree(vin, pre, 0, pre.size()-1); } void postTraversal(TreeNode *nowPtr){ if(nowPtr == NULL){ return; } postTraversal(nowPtr->left); postTraversal(nowPtr->right); cout<<"node:"<<endl; cout<<nowPtr->val<<endl;; } };
原文:https://www.cnblogs.com/chengsheng/p/10602063.html