leetcode-construct binary tree from inorder and postorder traversal

##题目

####Construct Binary Tree from Inorder and Postorder Traversal

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

####Note:
You may assume that duplicates do not exist in the tree.

##解题思路
该题和Construct Binary Tree from Preorder and Inorder Traversal的解法类似,只不过后序中最后一个节点才是根结点,因此与前序的差别是需要从后往前遍历。代码与Construct Binary Tree from Preorder and Inorder Traversal非常类似。

##算法代码
代码采用JAVA实现:

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* Definition for binary tree
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/

public class {
public TreeNode buildTree(int[] inorder, int[] postorder) {
if(inorder==null || postorder==null)
return null;
//将元素和其下标存放在map中,便于寻找
HashMap<Integer,Integer> map=new HashMap<Integer,Integer>();
for(int i=0;i<inorder.length;i++)
map.put(inorder[i],i);
return helper(inorder,0,inorder.length-1,postorder,0,postorder.length-1,map);
}

public TreeNode helper(int[] inorder,int inL,int inR,int[] postorder,int postL,int postR,HashMap<Integer,Integer> map)
{

if(inL>inR || postL>postR)
return null;
TreeNode root=new TreeNode(postorder[postR]);
int val=root.val;
int index=map.get(val);
root.left=helper(inorder,inL,index-1,postorder,postL,postL+index-inL-1,map);
root.right=helper(inorder,index+1,inR,postorder,postR-inR+index,postR-1,map);
return root;
}
}