# Closest Numbers in Algorithm | HackerRank Programming Solutions | HackerRank Problem Solving Solutions in Java [💯Correct]

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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.

• 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 ProblemClosest Numbers– Hacker Rank Solution

`Closest Numbers – Hacker Rank Solution`

### Problem:

Sorting is useful as the first step in many different tasks. The most common task is to make finding things easier, but there are other uses as well. In this case, it will make it easier to determine which pair or pairs of elements have the smallest absolute difference between them.

Example

Sorted, . Several pairs have the minimum difference of : . Return the array .

Note
As shown in the example, pairs may overlap.

Given a list of unsorted integers, , find the pair of elements that have the smallest absolute difference between them. If there are multiple pairs, find them all.

Function Description

Complete the closestNumbers function in the editor below.

closestNumbers has the following parameter(s):

• int arr[n]: an array of integers

Returns
– int[]: an array of integers as described

Input Format

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

Constraints

• All  are unique in .

Output Format

Sample Input 0

```10
-20 -3916237 -357920 -3620601 7374819 -7330761 30 6246457 -6461594 266854
```

Sample Output 0

```-20 30
```

Explanation 0
(30) – (-20) = 50, which is the smallest difference.

Sample Input 1

```12
-20 -3916237 -357920 -3620601 7374819 -7330761 30 6246457 -6461594 266854 -520 -470
```

Sample Output 1

```-520 -470 -20 30
```

Explanation 1
(-470) – (-520) = 30 – (-20) = 50, which is the smallest difference.

Sample Input 2

```4
5 4 3 2
```

Sample Output 2

```2 3 3 4 4 5
```

Explanation 2
Here, the minimum difference is 1. Valid pairs are (2, 3)(3, 4), and (4, 5).

`Closest Numbers – Hacker Rank Solution`
```import java.util.Arrays;
import java.util.Scanner;

/**
* @author Techno-RJ
*
*/
public class ClosestNumbers {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int t = sc.nextInt();
int a[] = new int[t];
for (int i = 0; i < t; i++) {
a[i] = sc.nextInt();
}
Arrays.sort(a);
int minDiff = Integer.MAX_VALUE;
int min1 = 0;
int min2 = 0, minIndex = -1;

String result = "";
for (int i = 1; i < t; i++) {
int diff = Math.abs(a[i] - a[i - 1]);
if (diff < minDiff) {
minDiff = diff;
min1 = a[i - 1];
min2 = a[i];
minIndex = i;
result = min1 + " " + min2;
}
}
for (int i = minIndex + 1; i < t; i++) {
if (minDiff == Math.abs(a[i] - a[i - 1])) {
result = result + " " + a[i - 1] + " " + a[i];
}
}
System.out.println(result);
sc.close();
}
}```  