337. House Robber III
https://leetcode.com/problems/house-robber-iii/ The thief has found himself a new place for his thievery again. There is only one entrance to this area, called the "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 forms a binary tree". It will automatically contact the police if two directly-linked houses were broken into on the same night. Determine the maximum amount of money the thief can rob tonight without alerting the police. Example 1: Input: [3,2,3,null,3,null,1] 3 / \ 2 3 \ \ 3 1 Output: 7 Explanation: Maximum amount of money the thief can rob = 3 + 3 + 1 = 7 . Example 2: Input: [3,4,5,1,3,null,1] 3 / \ 4 5 / \ \ 1 3 1 Output: 9 Explanation: Maximum amount of money the thief can rob = 4 + 5 = 9 . --- Intuition At each child node, we need to know whether parent was robbed or not If...