C++版-剑指offer 面试题6:重建二叉树(Leetcode105. Construct Binary Tree from Preorder and Inorder Traversal) 解题报告

时间:2021-03-13 14:50:53

剑指offer 重建二叉树


参与人数:5246  时间限制:1秒  空间限制:32768K

题目描述

输入某二叉树的前序遍历和中序遍历的结果,请重建出该二叉树。假设输入的前序遍历和中序遍历的结果中都不含重复的数字。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},则重建二叉树并返回。

分析:

C++版-剑指offer 面试题6:重建二叉树(Leetcode105. Construct Binary Tree from Preorder and Inorder Traversal) 解题报告

如图所示,先在中序中找到根节点的位置inRootpos,然后根节点左边递归地生成左子树,根节点右边递归地生成右子树.

其中preRootpos是逐一右移的.

AC代码:

#include <iostream>
#include <vector>
using namespace std;
struct TreeNode {
int val;
TreeNode *left;
TreeNode *right;
TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};
class Solution {
public:
struct TreeNode* reConstructBinaryTree(vector<int> pre,vector<int> in)
{
if(pre.size() != in.size() || pre.size()==0 || in.size()==0) return NULL;
else {
TreeNode* inRoot = createTreeHelper(pre,in, 0, 0, in.size()-1);
return inRoot;
}
}
TreeNode* createTreeHelper(vector<int> pre,vector<int> in, int preRootpos, int inLeft,int inRight)
{ // pre:前序,in:中序, preRoot: 前序中的根节点,inLeft:中序中的左边界,inRight:中序中的右边界
int inRootpos, RootVal;
RootVal = pre[preRootpos]; // 不建议使用.at()取下标的值
// cout<<preRootpos<<endl;
if(inLeft>inRight) return NULL;
for(int i=inLeft; i<=inRight; i++)
{
if(in[i] == RootVal)
inRootpos = i; // 找到根节点在中序中的位置inRootpos,for循环中循环完成后增量i无法使用,于是用全局变量存储下来
}
int leftLen=inRootpos-inLeft; TreeNode* inRoot = new TreeNode(RootVal);
inRoot->left = createTreeHelper(pre,in, preRootpos+1,inLeft,inRootpos-1);
inRoot->right = createTreeHelper(pre,in, preRootpos+leftLen+1,inRootpos+1,inRight); //注意这里的下一个根节点的位置
return inRoot;
}
}; // 以下为测试部分
/*
void InTraverse(TreeNode *pRoot)
{
if(pRoot == NULL) return;
InTraverse(pRoot->left); // 遍历左子树
cout<<pRoot->val<<" "; // 访问根节点
InTraverse(pRoot->right); // 遍历右子树
}
void PostTraverse(TreeNode *pRoot)
{
if(pRoot == NULL) return;
PostTraverse(pRoot->left); // 后序遍历左子树
PostTraverse(pRoot->right); // 后序遍历右子树
cout<<pRoot->val<<" "; // 访问根节点
} int main()
{
int arrA[7] = {1,2,3,4,5,6,7};
int arrB[7] = {3,2,4,1,6,5,7};
vector<int> a(arrA,arrA+7);
vector<int> b(arrB,arrB+7); Solution sol;
TreeNode *root;
root = sol.reConstructBinaryTree(a,b);
// PostTraverse(root);
InTraverse(root); return 0;
}
*/

Leecode AC代码:

class Solution {
public:
TreeNode* buildTree(vector<int>& preorder, vector<int>& inorder) {
if(preorder.size() != inorder.size() || preorder.size()==0 || inorder.size()==0) return NULL;
else {
return createTreeHelper(preorder,inorder, 0, 0, inorder.size()-1);
}
}
TreeNode* createTreeHelper(vector<int> &preorder,vector<int> &inorder, int preRootpos, int inLeft,int inRight)
{
int inRootpos, RootVal;
RootVal = preorder[preRootpos];
if(inLeft>inRight) return NULL;
for(int i=inLeft; i<=inRight; i++)
{
if(inorder[i] == RootVal)
inRootpos = i;
}
int leftLen=inRootpos-inLeft; TreeNode* inRoot = new TreeNode(RootVal);
inRoot->left = createTreeHelper(preorder,inorder, preRootpos+1,inLeft,inRootpos-1);
inRoot->right = createTreeHelper(preorder,inorder, preRootpos+leftLen+1,inRootpos+1,inRight);
return inRoot;
}
};

ps: 刚开始函数 createTreeHelper没使用&引用传递,提交时总是提示 Memory Limit Exceeded,加上后轻松AC。

Status: Memory Limit Exceeded
Last executed input:

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