Convert Sorted Doubly Linked List To Binary Search Tree

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1. Convert a sorted Doubly-Linked List to a Balanced Binary Search Tree in place.
2. The previous and next pointers in nodes are to be used as left and right pointers respectively in converted Binary Search Tree.
3. The tree must be constructed in-place (No new node should be allocated for tree conversion)
Input Format
Input is managed for you.
Output Format
Output is managed for you. 
Question Video
Constraints
0 <= Number of Nodes <= 10^9
-10^9 <= value of Node data <= 10^9
Sample Input
7
1 2 3 4 5 6 7
Sample Output
2 -> 4 <- 6
1 -> 2 <- 3
. -> 1 <- .
. -> 3 <- .
5 -> 6 <- 7
. -> 5 <- .
. -> 7 <- .


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