How do you implement common sorting algorithms with two-dimensional arrays?

You can implement common sorting algorithms with two-dimensional arrays by sorting each row or column individually.

Sorting a two-dimensional array is not much different from sorting a one-dimensional array. The main difference is that you have to decide whether you want to sort the rows or the columns. Once you've made that decision, you can apply any common sorting algorithm, such as bubble sort, selection sort, insertion sort, quick sort, or merge sort, to each row or column individually.

Let's take bubble sort as an example. Bubble sort is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements and swaps them if they are in the wrong order. The pass through the list is repeated until the list is sorted. When applied to a two-dimensional array, you would first choose whether to sort by rows or columns. Then, you would apply the bubble sort algorithm to each row or column individually.

For instance, if you have a two-dimensional array with three rows and three columns, and you decide to sort by rows, you would first apply bubble sort to the first row, then to the second row, and finally to the third row. The result would be a two-dimensional array where each row is sorted, but the columns may not be.

If you wanted to sort by columns instead, you would apply bubble sort to the first column, then to the second column, and finally to the third column. The result would be a two-dimensional array where each column is sorted, but the rows may not be.

The same principle applies to other sorting algorithms. For example, if you were using quick sort, you would apply the quick sort algorithm to each row or column individually. The result would be a two-dimensional array where each row or column is sorted, depending on your choice.

Remember, when sorting two-dimensional arrays, it's important to be clear about whether you're sorting by rows or columns. This will determine how you apply the sorting algorithm and what the final sorted array looks like.