The thief has found himself a new place for his thievery again. There is only one entrance to this area, called
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.
root of the binary tree, return the maximum amount of money the thief can rob without alerting the police.
Input: root = [3,2,3,null,3,null,1] Output: 7 Explanation: Maximum amount of money the thief can rob = 3 + 3 + 1 = 7.
Input: root = [3,4,5,1,3,null,1] Output: 9 Explanation: Maximum amount of money the thief can rob = 4 + 5 = 9.
- The number of nodes in the tree is in the range
0 <= Node.val <= 104
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