SDE - 1

You have been given an undirected graph of ‘V’ vertices (labeled 0,1,..., V-1) and ‘E’ edges. Each edge connecting two nodes (‘X’,’Y’) will have a weight denoting the distance between node ‘X’ and node ‘Y’.

Your task is to find the shortest path distance from the source node, which is the node labeled as 0, to all vertices given in the graph.

Example:

Input:
4 5
0 1 5
0 2 8
1 2 9
1 3 2
2 3 6

In the given input, the number of vertices is 4, and the number of edges is 5.

In the input, following the number of vertices and edges, three numbers are given. The first number denotes node ‘X’, the second number denotes node ‘Y’ and the third number denotes the distance between node ‘X’ and ‘Y’.

As per the input, there is an edge between node 0 and node 1 and the distance between them is 5.

The vertices 0 and 2 have an edge between them and the distance between them is 8.
The vertices 1 and 2 have an edge between them and the distance between them is 9.
The vertices 1 and 3 have an edge between them and the distance between them is 2.
The vertices 2 and 3 have an edge between them and the distance between them is 6.

Note:

1. There are no self-loops(an edge connecting the vertex to itself) in the given graph.

2. There can be parallel edges i.e. two vertices can be directly connected by more than 1 edge.

Ninja and his friend are playing a game of subarrays. They have an array ‘NUMS’ of length ‘N’. Ninja’s friend gives him an arbitrary integer ‘K’ and asks him to find the length of the longest subarray in which the sum of elements is equal to ‘K’.

Ninjas asks for your help to win this game. Find the length of the longest subarray in which the sum of elements is equal to ‘K’.

If there is no subarray whose sum is ‘K’ then you should return 0.

Example:

Input: ‘N’ = 5,  ‘K’ = 4, ‘NUMS’ = [ 1, 2, 1, 0, 1 ]

Output: 4

There are two subarrays with sum = 4, [1, 2, 1] and [2, 1, 0, 1]. Hence the length of the longest subarray with sum = 4 is 4.

Ninja has been given a number that is represented in the form of a linked list such that each digit corresponds to a node. He has been asked to add 1 to it and return the updated list.

For Example:

1234 is represented as (1 -> 2 -> 3 -> 4) and adding 1 to it should change it to (1 -> 2 -> 3 -> 5).

Note:

The input Linked list does not have any trailing zeros.

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.

A binary tree is a tree where each node has at most two children i.e left child and right child.

You are given a binary tree, where the structure of the node is as follow -:

class BinaryTreeNode {
 int data;      // Value of the node.
 BinaryTreeNode *left;  // Pointer to left child node.
 BinaryTreeNode *right; // Pointer to right child node.
 BinaryTreeNode *next;  // Pointer to next right node at same level. 
}

Your task is to connect all the adjacent nodes at the same level in the given binary tree. You can do this by populating each 'next' pointer to point to its next right node. If there is no next right node, the next pointer should be set to NULL. Initially, all the next pointers are set to NULL.

For Example:

Consider the figure shown below. The left part represents the initial binary tree and right part represents the binary tree after connecting adjacent nodes at the same level.

In the tree shown in the picture above -:
The ‘next’ pointer of the node having value 2 is connected to the node having value 3.
The ‘next’ pointer of the node having value 4 is connected to the node having value 5.
The ‘next’ pointer of the node having value 5 is connected to the node having value 6.
The ‘next’ pointer of nodes having value 1, 3, 6 will have a value NULL as there are no next right nodes in their cases.

Note:

1. The structure of the ‘Node’ of a binary tree is already defined. You should not change it.   
2. The root of the binary tree is known to you.  
3. There is at least one node in the given binary tree.
4. You may only use constant extra space.

Design a URL shortener capable of handling a large load
Tell me which data structures you would use and why.
How can you optimize it.