SDE - Intern

You are given a positive integer 'N'. Your task is to return all the prime numbers less than or equal to the 'N'.

Note:

1) A prime number is a number that has only two factors: 1 and the number itself.

2) 1 is not a prime number.

You are given an undirected graph 'EDGE_LIST' of ‘N’ nodes and ‘M’ edges. Your task is to return any Euler path of the graph. If no Euler path exists then you need to return -1.

Note :

An Euler path is a path in a graph such that every edge must be visited exactly once. You can visit the same vertex multiple times. 

Given an array 'ARR'' of 'N' integers and an integer 'target', your task is to find three integers in 'ARR' such that the sum is closest to the target.

Note

In the case of two closest sums, print the smallest sum.

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.