SDE - 1

Ninja is given an array of integers that contain numbers in random order. He needs to write a program to find and return the number which occurs the maximum times in the given input. He needs your help to solve this problem.

If two or more elements contend for the maximum frequency, return the element which occurs in the array first i.e. whose index is lowest.

For example,

For 'arr' = [ 1, 2, 3, 1, 2]. you need to return 1.

You are given an array 'arr' of length 'n', consisting of integers.

A subarray is a contiguous segment of an array. In other words, a subarray can be formed by removing 0 or more integers from the beginning and 0 or more integers from the end of an array.

Find the sum of the subarray (including empty subarray) having maximum sum among all subarrays.

The sum of an empty subarray is 0.

Example :

Input: 'arr' = [1, 2, 7, -4, 3, 2, -10, 9, 1]

Output: 11

Explanation: The subarray yielding the maximum sum is [1, 2, 7, -4, 3, 2].

Given a linked list such that each node represents a digit. Construct the maximum number possible from the given digits.

You just need to print the maximum Integer that can be formed

You are given a binary tree of 'N' nodes.

Your task is to find the path from the leaf node to the root node which has the maximum path sum among all the root to leaf paths.

For Example:

All the possible root to leaf paths are:
3, 4, -2, 4 with sum 9
5, 3, 4 with sum 12
6, 3, 4 with sum 13
Here, the maximum sum is 13. Thus, the output path will be 6, 3, 4.

Note:

There will be only 1 path with max sum.

You are given an undirected graph consisting of ‘N’ nodes from 0 to ‘N’ - 1. You are given a list ‘EDGES’ of size ‘M’, consisting of all the edges of this undirected graph. Determine whether the given graph is Bipartite or not.

Note:

The graph has no self-edges, no parallel edges.

The graph may not be connected.

A graph is bipartite if the nodes of the graph can be partitioned into two independent sets A and B such that every edge in the graph connects a node in set A and a node in set B.

For Example,

If ‘N’ = 4, ‘M’ = 5, edgeList = [ [0, 1],[0, 3],[1, 2] ].

Here, you can see that the graph is bipartite as we can divide the nodes in two sets as follows:
setA = [0, 2].
setB = [1, 3].

In the graph, you can see that every edge in the graph connects a node in set A and a node in set B.
Hence, the output is “Yes”.