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Algorithm

105. Construct Binary Tree from Preorder and Inorder Traversal

Description

Given two integer arrays preorder and inorder where preorder is the preorder traversal of a binary tree and inorder is the inorder traversal of the same tree, construct and return the binary tree.

Example 1:

Input: preorder = [3,9,20,15,7], inorder = [9,3,15,20,7]
Output: [3,9,20,null,null,15,7]

Example 2:

Input: preorder = [-1], inorder = [-1]
Output: [-1]

Constraints:

  • 1 <= preorder.length <= 3000
  • inorder.length == preorder.length
  • -3000 <= preorder[i], inorder[i] <= 3000
  • preorder and inorder consist of unique values.
  • Each value of inorder also appears in preorder.
  • preorder is guaranteed to be the preorder traversal of the tree.
  • inorder is guaranteed to be the inorder traversal of the tree.

Solution

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public TreeNode buildTree(int[] preorder, int[] inorder) {
       if(preorder==null || inorder==null || preorder.length==0 || inorder.length==0){
           return null;
       }
       TreeNode root = new TreeNode(preorder[0]);
       for(int i=0;i<inorder.length;i++){
           if(inorder[i] == preorder[0]){
               root.left = buildTree(Arrays.copyOfRange(preorder, 1, i+1),
                                 Arrays.copyOfRange(inorder, 0, i));
               root.right = buildTree(Arrays.copyOfRange(preorder, i+1, preorder.length),
                                 Arrays.copyOfRange(inorder, i+1, inorder.length));
           }
       }
       return root;
    }
}

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