SDE - 1

You are given an 'N * N' matrix of integers where each row and each column is sorted in increasing order. You are given a target integer 'X'.

Find the position of 'X' in the matrix. If it exists then return the pair {i, j} where 'i' represents the row and 'j' represents the column of the array, otherwise return {-1,-1}

For example:

If the given matrix is:
[ [1, 2, 5],
  [3, 4, 9],
  [6, 7, 10]] 
We have to find the position of 4. We will return {1,1} since A[1][1] = 4.

Given two binary trees T and S, check whether tree S has exactly the same structure and node values with a subtree of T, i.e., check if tree S is a subtree of the tree T.

A subtree of a tree T is a tree S consisting of a node in T and all of its descendants in T. The subtree corresponding to the root node is the entire tree; the subtree corresponding to any other node is called a proper subtree.

Create a stack data structure that allows operations such as push (adding an element), pop (removing the top element), top (retrieving the top element), and also provides a way to retrieve the minimum element in constant time.

Implement the following public functions :

1. push(data) :
This function should take one argument of type integer. It pushes the element into the stack and returns nothing.

2. pop() :
It pops the element from the top of the stack and returns nothing.

3. top() :
It returns the element being kept at the top of the stack.

4.  getMin() :
It returns the smallest element present in the stack.

Operations Performed on the Stack:

Query-1(Denoted by an integer 1): Pushes integer data to the stack. (push function)

Query-2(Denoted by an integer 2): Pops the data kept at the top of the stack. (pop function)

Query-3(Denoted by an integer 3): Fetches and returns the data being kept at the top of the stack. (top function)

Query-4(Denoted by an integer 4): Returns the smallest element present in the stack. (getMin() function)

Given an array/list of integers of length ‘N’, there is a sliding window of size ‘K’ which moves from the beginning of the array, to the very end. You can only see the ‘K’ numbers in a particular window at a time. For each of the 'N'-'K'+1 different windows thus formed, you are supposed to return the maximum element in each of them, from the given array/list.

You have been given a sorted array/list 'arr' consisting of ‘n’ elements. You are also given an integer ‘k’.

Now, your task is to find the first and last occurrence of ‘k’ in 'arr'.

Note :

1. If ‘k’ is not present in the array, then the first and the last occurrence will be -1. 
2. 'arr' may contain duplicate elements.

Example:

Input: 'arr' = [0,1,1,5] , 'k' = 1

Output: 1 2

Explanation:
If 'arr' = [0, 1, 1, 5] and 'k' = 1, then the first and last occurrence of 1 will be 1(0 - indexed) and 2.

You have been given an integer array/list(ARR) of size 'N'. It only contains 0s, 1s and 2s. Write a solution to sort this array/list.

Note :

Try to solve the problem in 'Single Scan'. ' Single Scan' refers to iterating over the array/list just once or to put it in other words, you will be visiting each element in the array/list just once.