Given preorder and inorder traversal of a tree, construct the binary tree.
Note:
You may assume that duplicates do not exist in the tree.
题目解析:
前序遍历的第一个结点一定为根结点,然后找到中序遍历的根结点所在的位置,分成两部分,递归遍历即可。充分利用遍历的特性进行求解。题目中没有要求存在重复数据,如果有重复数据,要判断分割的两部分长度是否相等。
class Solution{
public:
TreeNode *buildTree(vector<int> &preorder, vector<int> &inorder) {
if(preorder.size() != inorder.size())
return NULL;
return generateSub(preorder,0,preorder.size()-1,inorder,0,inorder.size()-1);
}
TreeNode *generateSub(vector<int> &preorder,int begin1,int end1,vector<int> &inorder,int begin2,int end2){
if(begin1>end1 || begin2>end2)
return NULL;
int i;
for(i = begin2;i<=end2;i++){
if(preorder[begin1] == inorder[i])
break;
}
TreeNode *p = new TreeNode(preorder[begin1]);
p->left = generateSub(preorder,begin1+1,begin1+i-begin2,inorder,begin2,i-1);
p->right = generateSub(preorder,begin1+i-begin2+1,end1,inorder,i+1,end2);
return p;
}
};