You get a job as a magicians assistant. One magic trick that the magician has in their show the the "Secret Digit". In this trick the magician brings an audience member onto the stage. He then:

1. Asks then to think of 4 digits (keeping them secret)

2. Asks them to make two numbers with those digits (keeping them secret)

3. Asks them to subtract the smaller number form the larger number (keeping the result secret)

4. Asks them to choose any digit in the difference except 0 (keeping it secret)

He then asks the audience member to tell him the remaining three digits and "magically" tells the audience member the missing digit from step 4 above.

What the magician does not tell the audience is that you can talk to him through a hidden earpiece and that you tell him the missing digit.

In this assignment you are to write a program that will calculate the missing digit so you can communicate it to the magician.

Sample Input/Output

Example #1:

1

9

9

The missing digit is: 8

Example #2:

5

7

8

The missing digit is: 7

Example #3:

4

2

1

The missing digit is: 2

I know that this assignment can be a bit confusing:

Let's walk through the steps as if we were playing this game in person:

1. I think of a 4 digit number, let's assume I think of 1234
2. I think of two combinations of the digits in that number, let's assume I think of 4132 and 2134
3. I subtract the smaller from the larger (4132-2134) that gives me 1998
4. I tell you any three of the digits in that number, let's assume I tell you 1, 9, 9
5. You tell me that the missing digit is 8

Answer rating: 100% (QA)

Python program to solve the Secret Digit magic trick Python def findmissingdigitdigit1 digit2 digit3 ... View the full answer