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Java-based LeetCode algorithm problem solutions, regularly updated
package g0301_0400.s0337_house_robber_iii;
// #Medium #Dynamic_Programming #Depth_First_Search #Tree #Binary_Tree #Udemy_Tree_Stack_Queue
// #2022_07_10_Time_1_ms_(91.77%)_Space_44.4_MB_(60.28%)
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;
* }
* }
*/
/**
* 337 - House Robber III\.
*
* Medium
*
* The thief has found himself a new place for his thievery again. There is only one entrance to this area, called `root`.
*
* Besides the `root`, each house has one and only one parent house. After a tour, the smart thief realized that all houses in this place form a binary tree. It will automatically contact the police if **two directly-linked houses were broken into on the same night**.
*
* Given the `root` of the binary tree, return _the maximum amount of money the thief can rob **without alerting the police**_.
*
* **Example 1:**
*
* ![](https://assets.leetcode.com/uploads/2021/03/10/rob1-tree.jpg)
*
* **Input:** root = [3,2,3,null,3,null,1]
*
* **Output:** 7
*
* **Explanation:** Maximum amount of money the thief can rob = 3 + 3 + 1 = 7.
*
* **Example 2:**
*
* ![](https://assets.leetcode.com/uploads/2021/03/10/rob2-tree.jpg)
*
* **Input:** root = [3,4,5,1,3,null,1]
*
* **Output:** 9
*
* **Explanation:** Maximum amount of money the thief can rob = 4 + 5 = 9.
*
* **Constraints:**
*
* * The number of nodes in the tree is in the range [1, 104]
.
* * 0 <= Node.val <= 104
**/
public class Solution {
public int rob(TreeNode root) {
int[] out = robRec(root);
return Math.max(out[0], out[1]);
}
private int[] robRec(TreeNode curr) {
if (curr == null) {
return new int[] {0, 0};
}
int[] left = robRec(curr.left);
int[] right = robRec(curr.right);
int[] out = new int[2];
// 1. If choosing to take the house
out[0] = curr.val + left[1] + right[1];
// 2. If choosing to skip the house
out[1] = left[0] + right[0];
// 3. Best Solution at house
out[0] = Math.max(out[0], out[1]);
return out;
}
}
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