Construct Binary Tree from Preorder and Inorder Traversal
Description
Given preorder and inorder traversal of a tree, construct the binary tree.
/**
* Definition of TreeNode:
* public class TreeNode {
* public int val;
* public TreeNode left, right;
* public TreeNode(int val) {
* this.val = val;
* this.left = this.right = null;
* }
* }
*/
public class Solution {
/**
* @param preorder: A list of integers that preorder traversal of a tree
* @param inorder: A list of integers that inorder traversal of a tree
* @return: Root of a tree
*/
public TreeNode buildTree(int[] preorder, int[] inorder) {
// write your code here
HashMap<Integer,Integer> map = new HashMap<Integer,Integer>();
if (preorder == null || inorder == null || preorder.length == 0 || inorder.length == 0 ){
return null ;
}
for (int i = 0 ; i < inorder.length ; i++){
map.put(inorder[i] , i);
}
return helper(preorder , inorder, 0 , preorder.length-1 , 0 , inorder.length-1, map );
}
public TreeNode helper(int[] preorder, int[] inorder, int preL, int preR, int inL, int inR, HashMap<Integer,Integer> map){
// TreeNode root = new TreeNode();
if(preL > preR || inL > inR){
return null ;
}
TreeNode root = new TreeNode(preorder[preL]) ;
int index = map.get(root.val);
root.left = helper(preorder , inorder, preL+1 , preL+index-inL , inL, index-1 , map);
root.right = helper(preorder, inorder, preR-(inR-index)+1, preR , index+1 , inR, map) ;
return root ;
}
}
该博客介绍了如何使用先序遍历和中序遍历的数组来构建二叉树。通过创建一个哈希映射来存储中序遍历中的节点位置,然后递归地构造左子树和右子树,最终构建完整的二叉树结构。
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