Increasing Order Search Tree

Given the root of a binary search tree, rearrange the tree in in-order so that the leftmost node in the tree is now the root of the tree, and every node has no left child and only one right child.

Example 1
        5                         1
       / \                         \
      3   6                         2
     / \   \                         \
    2   4   8          ->             3
   /       / \                         \
  1       7   9                         4
                                         \
                                          5
                                           \
                                            6
                                             \
                                              7
                                               \
                                                8
                                                 \
                                                  9
Inputroot = [5,3,6,2,4,null,8,1,null,null,null,7,9]
Output[1,null,2,null,3,null,4,null,5,null,6,null,7,null,8,null,9]
The nodes are rearranged in in-order sequence from 1 through 9, with each node having no left child and only a right child pointing to the next node.
Example 2
        5                   1
       / \                   \
      1   7       ->          5
                               \
                                7
Inputroot = [5,1,7]
Output[1,null,5,null,7]
The in-order traversal is 1, 5, 7, so the resulting tree is a right-only chain in that order.

Constraints

  • The number of nodes in the given tree will be in the range [1, 100].
  • 0 <= Node.val <= 1000

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