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.

There is a Binary Search Tree (BST) consisting of ‘N’ nodes. Each node of this BST has some integer data.

You are given the root node of this BST, and an integer ‘X’. Return true if there is a node in BST having data equal to ‘X’, otherwise return false.

A binary search tree (BST) is a binary tree data structure that has the following properties:

1. The left subtree of a node contains only nodes with data less than the node’s data.

2. The right subtree of a node contains only nodes with data greater than the node’s data.

3. The left and right subtrees must also be binary search trees.

Note:

It is guaranteed that all nodes have distinct data.