Python Programming

Now, try to solve the previous problem, but in the inverse direction.

That is, convert the single-dimensional index $s$ to subscripts ($r$, $c$) given the number of rows $R$ and columns $C$.

A user gives you the number of rows $R$, number of columns $C$, and a two-dimensional index ($r$, $c$) that refers to a cell position, where $r$ is a row index and $c$ a column index.

Write a program to convert ($r$, $c$) to a single-dimensional index $s$, assuming row-major ordering (i.e. $s$ is ordered from left to right, and then top to bottom). All indices start from $0$. See the figure below for an illustration.

More specifically, write a program that reads in the following integer inputs from the user:

1. The number of rows in the table
2. The number of columns in the table
3. An index

The program should output the subscript ($r$, $c$) corresponding to the given index.

Again, assume that the user will always enter valid numbers.

Sample run #1:

Enter the number of rows: 3
Enter the number of columns: 4
Enter index: 6
(1, 2)

Sample run #2:

Enter the number of rows: 6
Enter the number of columns: 2
Enter index: 11
(5, 1)