You're working for a company that lays ceramic floor tile, and its employees need a program that estimates the number of boxes of tile for a job. A job is estimate by taking the dimensions of each room in feet and inches, and converting these dimensions into a multiple of the tile size (rounding up any partial multiple) before multiplying to get the number of tiles for the room. A box contains 20 tiles, so the total number needed should be divided by 20 and rounded up to get the number of boxes. The tiles are assumed to be square.

The program should initially prompt the user for the size of the tile in inches and the number of rooms to be covered with tile. It should then input the dimensions for each room and output the number of tiles needed for the room. After data for the last room is input, the program should output the total number of tiles needed, the number of boxes of tile needed, and how many extra tiles will be left over.

Here is an example.

Enter number of rooms: 2
Enter size of tile in inches: 12
Enter room width (feet and inches, separated by a space): 17 4
Enter room length (feet and inches, separated by a space): 9 3
Room requires 180 tiles.
Enter room width (feet and inches, separated by a space): 11 6
Enter room length (feet and inches, separated by a space): 11 9
Room requires 144 tiles.
Total titles required is 324.
Number of boxes needed is 17.
There will be 16 extra tiles.

Use functional decomposition to solve this problem, and code the solution using functions wherever it makes sense to do so. Your program should check for invalid data such as nonpositive dimensions, number of rooms less than 1, number of inches greater than 11, and so on. It should prompt the user for corrected input whenever it detects an invalid input.