Software Engineer

You have been given a binary tree, you are supposed to return the root values of all the duplicate subtrees. For each duplicate subtree, you only need to return the root value of any one of them.

Two subtrees are duplicate if and only if they have the same structure with the same node values.

For example:

In the below binary tree :

The duplicate subtrees are {{2, 3}, {3}} and we have to just return the root values of each duplicate subtree, so the output is {2, 3}.

You are given an array consisting of 'N' elements and you need to perform 'Q' queries on the given array. Each query consists of an integer which tells the number of elements by which you need to left rotate the given array. For each query return the final array obtained after performing the left rotations.

Note:

Perform each query on the original array only i.e. every output should be according to the original order of elements.

Example:

Let the array be [1, 2, 3, 4, 5, 6] and the queries be {2, 4, 1}. For every query, we’ll perform the required number of left rotations on the array.

For the first query, rotate the given array to the left by 2 elements, so the resultant array is: [3, 4, 5, 6, 1, 2].

For the second query, rotate the given array to the left by 4 elements, so the resultant array is: [5, 6, 1, 2, 3, 4].

For the third query, rotate the given array to the left by 1 element, so the resultant array is: [2, 3, 4, 5, 6, 1].

You are given an integer ‘N’ which denotes a set of N people numbered from 1 to N and a matrix ‘DISLIKE’ with M rows and 2 columns. Each row in the matrix denotes two people who dislike each other i.e. for any valid row i, DISLIKE[i][0] dislikes DISLIKE[i][1] and vice versa.

Your task is to split the set of N people into two groups under the conditions:

1. It is not allowed to put two persons in the same group who dislike each other.

2. The size of the two groups may or may not be equal.

3. Each person from the set belongs to exactly one group.

Given are ten balls, the task is to place these 10 balls in five lines such that each line contains exactly 4 balls.

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