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In this post, you will find the solution for **Insertion Sort Advanced Analysis** **in Java-HackerRank Problem**. We are providing the **correct and tested solutions** of coding problems present on **HackerRank**. If you are not able to solve any problem, then you can take help from our Blog/website.

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**Introduction To Algorithm**

The word **Algorithm** means “a process or set of rules to be followed in calculations or other problem-solving operations”. Therefore Algorithm refers to a set of rules/instructions that step-by-step define how a work is to be executed upon in order to get the expected results.

**Advantages of Algorithms:**

- It is easy to understand.
- Algorithm is a step-wise representation of a solution to a given problem.
- In Algorithm the problem is broken down into smaller pieces or steps hence, it is easier for the programmer to convert it into an actual program.

** Link for the Problem** – Insertion Sort Advanced Analysis– Hacker Rank Solution

Insertion Sort Advanced Analysis– Hacker Rank Solution

**Problem:**

Insertion Sort is a simple sorting technique which was covered in previous challenges. Sometimes, arrays may be too large for us to wait around for insertion sort to finish. Is there some other way we can calculate the number of shifts an insertion sort performs when sorting an array?

If is the number of elements over which the element of the array has to shift, then the total number of shifts will be … + .

**Example**

Array Shifts [4,3,2,1] [3,4,2,1] 1 [2,3,4,1] 2 [1,2,3,4] 3 Total shifts = 1 + 2 + 3 = 6

**Function description**

Complete the *insertionSort* function in the editor below.

insertionSort has the following parameter(s):

*int arr[n]*: an array of integers

Returns

– *int*: the number of shifts required to sort the array

**Input Format**

The first line contains a single integer , the number of queries to perform.

The following pairs of lines are as follows:

- The first line contains an integer , the length of .
- The second line contains space-separated integers .

**Constraints**

**Sample Input**

2 5 1 1 1 2 2 5 2 1 3 1 2

**Sample Output**

0 4

**Explanation**

The first query is already sorted, so there is no need to shift any elements. In the second case, it will proceed in the following way.

Array: 2 1 3 1 2 -> 1 2 3 1 2 -> 1 1 2 3 2 -> 1 1 2 2 3 Moves: - 1 - 2 - 1 = 4

Insertion Sort Advanced Analysis – Hacker Rank Solution

import java.io.*; import java.util.*; public class Solution { private static final int MAXVAL = 10000000; private static int[] array = new int[MAXVAL+1]; public static void main(String[] args) { /* Enter your code here. Read input from STDIN. Print output to STDOUT. Your class should be named Solution. */ Scanner sc = new Scanner(System.in); int testCaseCount = sc.nextInt(); for (int i = 0; i < testCaseCount; i++) { int size = sc.nextInt(); long sum = 0; Arrays.fill(array, 0); for (int j = 0; j < size; j++) { sum += assign(sc.nextInt(), array, j); } System.out.println(sum); } } private static int assign(int x, int[] prefixSums, int current) { int n = read(prefixSums, x); update(prefixSums, x); return current-n; } private static int read(int[] prefixSums, int x) { int nrt=0; while(x>0) { nrt += prefixSums[x]; x -= (x&(-x)); } return nrt; } private static void update(int[] prefixSums, int x) { while(x <= MAXVAL) { prefixSums[x]++; x += (x&(-x)); } } }