# Diagonal Difference 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 ProblemDiagonal Difference– Hacker Rank Solution

`Diagonal Difference – Hacker Rank Solution`

### Problem:

Given a square matrix, calculate the absolute difference between the sums of its diagonals.

For example, the square matrix  is shown below:

```1 2 3
4 5 6
9 8 9  ```

Return

• int: the absolute diagonal difference

Input Format

Output Format

Return the absolute difference between the sums of the matrix’s two diagonals as a single integer.

Sample Input

```3
11 2 4
4 5 6
10 8 -12
```

Sample Output

```15
```

Explanation

The primary diagonal is:

```11
5
-12
```

Sum across the primary diagonal: 11 + 5 – 12 = 4

The secondary diagonal is:

```     4
5
10
```

Sum across the secondary diagonal: 4 + 5 + 10 = 19
Difference: |4 – 19| = 15

Note: |x| is the absolute value of x

`Diagonal Difference – Hacker Rank Solution`
```public class DiagonalDifference {

static int diagonalDifference(int[][] arr) {
int leftSum = 0, rightSum = 0;
int n = arr.length;
for (int i = 0; i < n; i++) {
leftSum += arr[i][i];
rightSum += arr[i][n - 1 - i];
}
return (Math.abs(leftSum - rightSum));
}
}``` 