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Number of Turns in Binary Tree
Hard Accuracy: 41.3% Submissions: 9289 Points: 8

Given a binary tree and data value of two of its nodes. Find the number of turns needed to reach from one node to another in the given binary tree.

Example 1:

Input:
Tree =
1
/    \
2       3
/  \     /  \
4    5   6    7
/        / \
8        9   10
first node = 5
second node = 10
Output: 4
Explanation:
Turns will be at 2, 1, 3, 6.


Example 2:

Input:
Tree =
1
/     \
2        3
/  \      /  \
4    5    6    7
/         / \
8         9   10
first node = 1
second node = 4
Output: -1
Explanation: No turn is required since
they are in a straight line.

You don't need to read input or print anything. Complete the function NumberOFTurns() which takes root node and data value of 2 nodes as input parameters and returns the number of turns required to navigate between them. If the two nodes are in a straight line, ie- the path does not involve any turns, return -1.

Expected Time Complexity: O(N)
Expected Auxiliary Space: O(Height of Tree)

Constraints:
1 ≤ N ≤ 103

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