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| 1 | +# [Diagonal Difference](https://www.hackerrank.com/challenges/diagonal-difference) |
| 2 | + |
| 3 | +Difficulty: #easy |
| 4 | +Category: #warmup |
| 5 | + |
| 6 | +Given a square matrix, calculate the absolute difference between the sums |
| 7 | +of its diagonals. |
| 8 | +For example, the square matrix $ arr $ is shown below: |
| 9 | + |
| 10 | +```text |
| 11 | +1 2 3 |
| 12 | +4 5 6 |
| 13 | +9 8 9 |
| 14 | +``` |
| 15 | + |
| 16 | +The left-to-right $ diagonal = 1 + 5 + 9 = 15 $. |
| 17 | +The right to left $ diagonal = 3 + 5 + 9 = 17 $. |
| 18 | +Their absolute difference is $ |15 - 17| = 2 $. |
| 19 | + |
| 20 | +## Function description |
| 21 | + |
| 22 | +Complete the $ diagonalDifference $ function in the editor below. |
| 23 | +diagonalDifference takes the following parameter: |
| 24 | + |
| 25 | +- int ` arr[n][m] `: an array of integers |
| 26 | + |
| 27 | +## Return |
| 28 | + |
| 29 | +- int: the absolute diagonal difference |
| 30 | + |
| 31 | +## Input Format |
| 32 | + |
| 33 | +The first line contains a single integer, n, the number of |
| 34 | +rows and columns in the square matrix arr. |
| 35 | +Each of the next n lines describes a row, arr[i], and consists of |
| 36 | +space-separated integers ` arr[i][j] `. |
| 37 | + |
| 38 | +## Constraints |
| 39 | + |
| 40 | +$ -100 \leq $ ` arr[i][j] ` $ \leq 100 $ |
| 41 | + |
| 42 | +## Output Format |
| 43 | + |
| 44 | +Return the absolute difference between the sums of the matrix's |
| 45 | +two diagonals as a single integer. |
| 46 | + |
| 47 | +## Sample Input |
| 48 | + |
| 49 | +```text |
| 50 | +3 |
| 51 | +11 2 4 |
| 52 | +4 5 6 |
| 53 | +10 8 -12 |
| 54 | +``` |
| 55 | + |
| 56 | +Sample Output |
| 57 | + |
| 58 | +```text |
| 59 | +15 |
| 60 | +``` |
| 61 | + |
| 62 | +## Explanation |
| 63 | + |
| 64 | +The primary diagonal is: |
| 65 | + |
| 66 | +```text |
| 67 | +11 |
| 68 | + 5 |
| 69 | + -12 |
| 70 | +``` |
| 71 | + |
| 72 | +Sum across the primary diagonal: 11 + 5 - 12 = 4 |
| 73 | +The secondary diagonal is: |
| 74 | + |
| 75 | +```text |
| 76 | + 4 |
| 77 | + 5 |
| 78 | +10 |
| 79 | +``` |
| 80 | + |
| 81 | +Sum across the secondary diagonal: $ 4 + 5 + 10 = 19 $ |
| 82 | +Difference: $ |4 - 19| = 15 $ |
| 83 | + |
| 84 | +*Note*: $ |x| $ is the |
| 85 | +[absolute value](https://www.mathsisfun.com/numbers/absolute-value.html) |
| 86 | +of $ x $ |
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