Cut BST
Given a Binary Search Tree, and an integer k, cut the BST vertically into two substrees A and B, where all nodes in A <= k and all nodes in B > k.
Contrain: for any node A and it’s parent B in the original BST. If after the cut they are both in the same subtree. B should still be the parent of A.
example:
Input:
50
/ \
20 60
/ \ / \
10 30 55 70
k = 50
output:
20
/ \
10 30
and
60
/ \
55 70
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