a binary search tree (BST) by inserting the elements of nums in order into an initially empty  BST. Find the number of different ways to reorder nums so that the constructed BST is identical to that  formed from the original array nums. For example, given nums = [2,1,3], we will have 2 as the root, 1 as a left child, and 3 as a right child.  The array [2,3,1] also yields the same BST but [3,2,1] yields a different BST. Return the number of ways to reorder nums such that the BST formed is identical to the original BST  formed from nums. Input: nums = [3,4,5,1,2] Output: 5 [3,1,2,4,5]

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Given an array nums that represents a permutation of integers from 1 to n. We are going to 
construct a binary search tree (BST) by inserting the elements of nums in order into an initially empty 
BST. Find the number of different ways to reorder nums so that the constructed BST is identical to that 
formed from the original array nums.
For example, given nums = [2,1,3], we will have 2 as the root, 1 as a left child, and 3 as a right child. 
The array [2,3,1] also yields the same BST but [3,2,1] yields a different BST.
Return the number of ways to reorder nums such that the BST formed is identical to the original BST 
formed from nums.
Input: nums = [3,4,5,1,2]
Output: 5
[3,1,2,4,5]
[3,1,4,2,5]
[3,1,4,5,2]
[3,4,1,2,5]
[3,4,1,5,2]

Note: Solve using concepts of data structures 

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