SDE - Intern

You are given an array 'arr' consisting of 'n' integers which denote the position of a stall.

You are also given an integer 'k' which denotes the number of aggressive cows.

You are given the task of assigning stalls to 'k' cows such that the minimum distance between any two of them is the maximum possible.

Print the maximum possible minimum distance.

Example:

Input: 'n' = 3, 'k' = 2 and 'arr' = {1, 2, 3}

Output: 2

Explanation: The maximum possible minimum distance will be 2 when 2 cows are placed at positions {1, 3}. Here distance between cows is 2.

You are given an array/list 'ARR' of size 'N'. You task is to find if there exists a triplet (i, j, k) such that 0 < i , i + 1 < j , j + 1 < k and k < 'N' - 1 and the sum of the subarrays [0, i - 1],[i + 1, j - 1], [j + 1, k - 1], [k + 1, N - 1] are equal.

An array c is a subarray of array d if c can be obtained from d by deletion of several elements from the beginning and several elements from the end.

Example:

let 'ARR' = [1, 2, 3] then the possible subarrays of 'ARR' will be - {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 2, 3}.

Note: Assume That the Array has Zero-based indexing.

You are given a sorted array ARR of integers of size N and an integer K. You have to find whether it is possible to find a pair of integers having an absolute difference of K.

Note:

1. K is a non-negative integer.

2. Absolute Difference between two integers A and B is equal to the difference of maximumOf(A, B) and minimumOf(A, B).

3. Pair of integers should have different indices in the array.

What is thrashing?
Tell about different paging mechanisms.

You are given an unsorted array/list 'ARR' of 'N' integers. Your task is to return the length of the longest consecutive sequence.

The consecutive sequence is in the form ['NUM', 'NUM' + 1, 'NUM' + 2, ..., 'NUM' + L] where 'NUM' is the starting integer of the sequence and 'L' + 1 is the length of the sequence.

Note:

If there are any duplicates in the given array we will count only one of them in the consecutive sequence.

For example-

For the given 'ARR' [9,5,4,9,10,10,6].

Output = 3
The longest consecutive sequence is [4,5,6].

Follow Up:

Can you solve this in O(N) time and O(N) space complexity?

Design and implement a data structure for Least Recently Used (LRU) cache to support the following operations:

1. get(key) - Return the value of the key if the key exists in the cache, otherwise return -1.

2. put(key, value), Insert the value in the cache if the key is not already present or update the value of the given key if the key is already present. When the cache reaches its capacity, it should invalidate the least recently used item before inserting the new item.

You will be given ‘Q’ queries. Each query will belong to one of these two types:

Type 0: for get(key) operation.
Type 1: for put(key, value) operation.

Note :

1. The cache is initialized with a capacity (the maximum number of unique keys it can hold at a time).

2. Access to an item or key is defined as a get or a put operation on the key. The least recently used key is the one with the oldest access time.