LeetCode-in-Java

889. Construct Binary Tree from Preorder and Postorder Traversal

Medium

Given two integer arrays, preorder and postorder where preorder is the preorder traversal of a binary tree of distinct values and postorder is the postorder traversal of the same tree, reconstruct and return the binary tree.

If there exist multiple answers, you can return any of them.

Example 1:

Input: preorder = [1,2,4,5,3,6,7], postorder = [4,5,2,6,7,3,1]

Output: [1,2,3,4,5,6,7]

Example 2:

Input: preorder = [1], postorder = [1]

Output: [1]

Constraints:

Solution

import com_github_leetcode.TreeNode;

/*
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
public class Solution {
    public TreeNode constructFromPrePost(int[] preorder, int[] postorder) {
        if (preorder.length == 0 || preorder.length != postorder.length) {
            return null;
        }
        return buildTree(preorder, 0, preorder.length - 1, postorder, 0, postorder.length - 1);
    }

    private TreeNode buildTree(
            int[] preorder, int preStart, int preEnd, int[] postorder, int postStart, int postEnd) {
        if (preStart > preEnd || postStart > postEnd) {
            return null;
        }
        int data = preorder[preStart];
        TreeNode root = new TreeNode(data);
        if (preStart == preEnd) {
            return root;
        }
        int offset = postStart;
        for (; offset <= preEnd; offset++) {
            if (postorder[offset] == preorder[preStart + 1]) {
                break;
            }
        }
        root.left =
                buildTree(
                        preorder,
                        preStart + 1,
                        preStart + offset - postStart + 1,
                        postorder,
                        postStart,
                        offset);
        root.right =
                buildTree(
                        preorder,
                        preStart + offset - postStart + 2,
                        preEnd,
                        postorder,
                        offset + 1,
                        postEnd - 1);
        return root;
    }
}