Python Programming

For your final challenge, implement a three-dimensional version of the first version of the problem.

That is, convert $(x_1, x_2, x_3)$ to $s$.

Remember that the coordinates start from $0$.

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

1. The length of dimension 1
2. The length of dimension 2
3. The length of dimension 3
4. The coordinate value in dimension 1
5. The coordinate value in dimension 2
6. The coordinate value in dimension 3

The program should output the linear index $s$ corresponding to the given 3D coordinate.

Sample run #1:

Enter dimension 1 length: 2
Enter dimension 2 length: 3
Enter dimension 3 length: 4
Enter index for dimension 1: 0
Enter index for dimension 2: 2
Enter index for dimension 3: 1
9

Sample run #2:

Enter dimension 1 length: 6
Enter dimension 2 length: 2
Enter dimension 3 length: 5
Enter index for dimension 1: 5
Enter index for dimension 2: 1
Enter index for dimension 3: 4
59