SDE - 1

You are given a preorder traversal of a binary search tree. Your task is to find the postorder from the preorder.

Return the root of the BST constructed from the given preorder. The driver code will then use this root to print the post-order traversal.

For example:

You are given preOrder = [10, 5, 1, 7, 40, 50], the binary search tree from the given preorder traversal is 

Hence the answer is [1, 7, 5, 50, 40, 10].

You are given an array 'a' of size 'n'.

Print the Next Greater Element(NGE) for every element.

The Next Greater Element for an element 'x' is the first element on the right side of 'x' in the array, which is greater than 'x'.

If no greater elements exist to the right of 'x', consider the next greater element as -1.

For example:

Input: 'a' = [7, 12, 1, 20]

Output: NGE = [12, 20, 20, -1]

Explanation: For the given array,

- The next greater element for 7 is 12.

- The next greater element for 12 is 20. 

- The next greater element for 1 is 20. 

- There is no greater element for 20 on the right side. So we consider NGE as -1.

Implement a queue data structure which follows FIFO(First In First Out) property, using only the instances of the stack data structure.

Note:

1. To implement means you need to complete some predefined functions, which are supported by a normal queue such that it can efficiently handle the given input queries which are defined below.


2. The implemented queue must support the following operations of a normal queue: 

a. enQueue(data) : This function should take one argument of type integer and place the integer to the back of the queue.

b. deQueue(): This function should remove an integer from the front of the queue and also return that integer. If the queue is empty, it should return -1.

c. peek(): This function returns the element present in the front of the queue. If the queue is empty, it should return -1.

d. isEmpty(): This function should return true if the queue is empty and false otherwise.


3. You will be given q queries of 4 types:

a. 1 val - For this type of query, you need to insert the integer val to the back of the queue.

b. 2 - For this type of query, you need to remove the element from the front of the queue, and also return it.

c. 3 - For this type of query, you need to return the element present at the front of the queue(No need to remove it from the queue).

d. 4 - For this type of query, you need to return true if the queue is empty and false otherwise.


4. For every query of type:

a. 1, you do not need to return anything.

b. 2, return the integer being deQueued from the queue.

c. 3, return the integer present in the front of the queue.

d. 4, return “true” if the queue is empty, “false” otherwise.

Example

Operations: 
1 5
1 10
2
3
4

Enqueue operation 1 5: We insert 5 at the back of the queue.
Queue: [5]

Enqueue operation 1 10: We insert 10 at the back of the queue.
Queue: [5, 10]

Dequeue operation 2: We remove the element from the front of the queue, which is 5, and print it.
Output: 5
Queue: [10]

Peek operation 3: We return the element present at the front of the queue, which is 10, without removing it.
Output: 10
Queue: [10]

IsEmpty operation 4: We check if the queue is empty.
Output: False
Queue: [10]

Given the root node of a Binary Search Tree (BST), you have to return the Kth largest element in the BST.

For Example:

If K is 4 and the tree is depicted by the following image then,

The 4th largest element in the given BST is 1. So the output will be 1.

Follow-up :

 Try to do it in O(1) space without using recursion.

Given a directed graph, check whether the graph contains a cycle or not. Your function should return true if the given graph contains at least one cycle, else return false.