Trainee Technology

You are given a number 'N'. Your task is to find Nth prime number.

A prime number is a number greater than 1 that is not a product of two smaller natural numbers. Prime numbers have only two factors – 1 and the number itself.

Any number greater than 0 is a natural number i.e. natural numbers N = {1, 2, 3, 4,....}

For example:-

If you are asked to find the 7th prime number, it’ll be 17 because the first 7 prime numbers are 2, 3, 5, 7, 11, 13, 17.

Note: 1 is not a prime number.

Follow Up:

Try to solve the problem in O(N log log N) + O(N).

You are given two strings STR1 and STR2. You need to check whether STR2 can be formed from the characters of STR1. Both the strings can contain any characters.

For example:

If STR1 = “codingninjas” and STR2 = “sing”. We can form the second string using the characters of the first string. This is because “s”, “i”, “n”, “g” are present in the string STR1.

A Derangement is a permutation of ‘N’ elements, such that no element appears in its original position. For example, an instance of derangement of {0, 1, 2, 3} is {2, 3, 1, 0}, because 2 present at index 0 is not at its initial position which is 2 and similarly for other elements of the sequence.

Given a number ‘N’, find the total number of derangements possible of a set of 'N’ elements.

Note:

The answer could be very large, output answer %(10 ^ 9 + 7).

Given a singly linked list, you have to detect the loop and remove the loop from the linked list, if present. You have to make changes in the given linked list itself and return the updated linked list.

Expected Complexity: Try doing it in O(n) time complexity and O(1) space complexity. Here, n is the number of nodes in the linked list.

You have been given a binary tree of 'N' nodes. Print the Spiral Order traversal of this binary tree.

For example

For the given binary tree [1, 2, 3, -1, -1, 4, 5, -1, -1, -1, -1]
    1
   / \
  2   3
     / \
    4   5

Output: 1 3 2 4 5

You have been given a long type array/list 'arr’ of size 'n’.

It represents an elevation map wherein 'arr[i]’ denotes the elevation of the 'ith' bar.

Print the total amount of rainwater that can be trapped in these elevations.

Note :

The width of each bar is the same and is equal to 1.

Example:

Input: ‘n’ = 6, ‘arr’ = [3, 0, 0, 2, 0, 4].

Output: 10

Explanation: Refer to the image for better comprehension:

Note :

You don't need to print anything. It has already been taken care of. Just implement the given function.