House Robber In Binary Tree

easy
1. You are given a partially written function to solve.
2. 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.
3. Input and Output is managed for you.

Input Format

Input is managed for you.

Output Format

Output is managed for you.

Constraints

0 <= Number of Nodes <= 10^9
-10^9 <= value of Node data <= 10^9

Notice

Try First, Check Solution later

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2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
15
1
1
-1
1
1
-1
1
-1
-1
1
-1
-1
1
-1
-1
Output
4
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