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Error

Given a binary tree with a value associated with each node, we need to choose a subset of these nodes such that sum of chosen nodes is maximum under a constraint that no two chosen node in subset should be directly connected that is, if we have taken a node in our sum then we can’t take its any children or parents in consideration and vice versa.

**Example 1:**

**Input:
** 11
/ \
1 2
**Output: **11**
Explanation: **The maximum sum is sum of
node 11.

**Example 2:**

**Input:
**1
** / \
**2 3
/ / \
4 5 6
**Output: **16**
Explanation: **The maximum sum is sum of
nodes 1 4 5 6** **, i.e 16. These nodes are
non adjacent.

**Your Task:**

You don't need to read input or print anything. You just have to complete function **getMaxSum() **which accepts root node of the tree as parameter and returns the maximum sum as described.

**Expected Time Complexity: **O(Number of nodes in the tree).

**Expected Auxiliary Space: **O(Height of the Tree).

1 ≤ Number of nodes in the tree ≤ 10000

1 ≤ Value of each node ≤ 100000

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Maximum sum of Non-adjacent nodes

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