Given inorder and postorder traversal of a tree, construct the binary tree.

Note:
You may assume that duplicates do not exist in the tree.
同样是给出了不会有重复数字的条件,用递归较容易实现,代码如下:

 /**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
TreeNode* buildTree(vector<int>& inorder, vector<int>& postorder) {
if(inorder.size() == )
return NULL;
return createTree(inorder, , inorder.size() - , postorder, , postorder.size() - );
} TreeNode* createTree(vector<int> & inorder, int inBegin, int inEnd,
vector<int> & postorder, int postBegin, int postEnd)
{
if(inBegin > inEnd) return NULL;
int rootVal = postorder[postEnd];
int mid;
for(int i = inBegin; i <= inEnd; ++i){
if(inorder[i] == rootVal){
mid = i;
break;
}
}
int len = mid - inBegin;
TreeNode * left = createTree(inorder, inBegin, mid - , //边界条件同样应该注意
postorder, postBegin, postBegin + len - );
TreeNode * right = createTree(inorder, mid + , inEnd,
postorder, postBegin + len, postEnd - );
TreeNode * root = new TreeNode(rootVal);
root->left = left;
root->right = right;
return root;
}
};

java版本的代码如下所示,没有区别:

 public class Solution {
public TreeNode buildTree(int[] inorder, int[] postorder) {
if(inorder.length == 0)
return null;
return createTree(inorder, 0, inorder.length - 1, postorder, 0, postorder.length - 1);
} public TreeNode createTree(int[] inorder, int inBegin, int inEnd, int[] postorder, int postBegin, int postEnd){
if(inEnd < inBegin)
return null;
int rootVal = postorder[postEnd];
int mid = 0;
for(int i = inBegin; i <= inEnd; ++i){
if(inorder[i] == rootVal){
mid = i;
break;
}
}
int len = mid - inBegin;
TreeNode leftNode = createTree(inorder, inBegin, mid - 1, postorder, postBegin, postBegin + len - 1);
TreeNode rightNode = createTree(inorder, mid + 1, inEnd, postorder, postBegin + len, postEnd - 1);
TreeNode root = new TreeNode(rootVal);
root.left = leftNode;
root.right = rightNode;
return root;
}
}

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