SDE - Intern

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.

You are given a graph with ‘N’ nodes and ‘M’ unidirectional edges. Your task is to find the number of nodes reachable from node ‘i’, where 0 <= ‘i’ <= ‘N’ - 1.

Note: A node ‘u’ is said to be reachable from node ‘v’, if there exists a path between node’ u’ and ’v’.

For example:

For given N = 4, M = 4, 

In the above example, the number of nodes reachable from nodes 0 , 1, 2 and 3 is 4.

You are given an array/list ‘ARR’ of ‘N’ integers. You have to generate an array/list containing squares of each number in ‘ARR’, sorted in increasing order.

For example :

Input:
‘ARR’ = [-6,-3, 2, 1, 5] 

If we take a square of each element then the array/list will become [36, 9, 4, 1, 25].
Then the sorted array/list will be [1, 4, 9, 25, 36].

Output :
[1, 4, 9, 25, 36].

You have been given a string 'S' containing only three types of characters, i.e. '(', ')' and '*'.

A Valid String is defined as follows:

1. Any left parenthesis '(' must have a corresponding right parenthesis ')'.
2. Any right parenthesis ')' must have a corresponding left parenthesis '('.
3. Left parenthesis '(' must go before the corresponding right parenthesis ')'.
4. '*' could be treated as a single right parenthesis ')' or a single left parenthesis '(' or an empty string.
5. An empty string is also valid.

Your task is to find out whether the given string is a Valid String or not.

Given a binary tree of integers, you are supposed to modify the given binary tree to a sum tree where each node value is replaced by the sum of the values of both left and right subtrees in the given tree. The value of leaf nodes is changed to zero.

Example:

Below is the example showing the input tree and its sum tree.