Uncle Ernie the Magician

Uncle Ernie is a brilliant magician. The other day he thrilled the
theater by guessing a number that someone in the audience had thought.
The dialog that took place during the show was more or less like this:

- What’s your name, lad?

- Uhhh, I’m Bill.

- Ok, Bill, we will perform a telepathic experiment. Please write down a
  number on this sheet. Any number will do.

- Done.

- Perfect, now please put the sheet with your number inside this
  envelope and give it to that young lady in the first row. Isn’t she
  gorgeous? [To the beautiful lady] Please come backstage after the
  show, I’ll show you a nice trick... Anyway, please hold the envelope
  close to your chest. [To Bill] Excellent! Now, please concentrate on
  your number, fix your mind on that number.

- Mmmh ...

- C’mon chap! Please try it harder! I can’t get the waves from your
  brain ...

- Mmmhhhh ...

- I don’t get it ... [To the audience] I think someone here is
  introducing interferences. Someone is causing bad vibrations and
  making trouble. Is President Bush between us tonight? That was a joke!
  [Laughs] [To Bill] Let’s see ... multiply your number by five.

- That’s it.

- You’re a genius! Add six to the product.

- Yes.

- Multiply the sum by four.

- Done.

- Now, add nine to the product. Jez, be careful, don’t mess the numbers!

- Yep.

- Quick: multiply the sum by five!

- All right.

- Please tell us the result in a loud voice.

- The result is 73365.

- Ok ... Let’s see ... I think I’ve got it ... Mmmhh ... You wrote
  number 732? Did you write number 732? Is 732 the number you wrote? Is
  it?

- YES!!! [Applause from the audience]

Indeed, 732 was the number written in the envelope, as the good-looking
girl confirmed.

Can you emulate Uncle Ernie and write a magical program that guesses the
number that the computer thinks? The computer will think a number, will
perform the same calculations on this number as Bill and will tell you
the result. You have to “guess” the original number.

Input

Input consists of several integer numbers: the results obtained by the
computer. All them will be between 0 and 2³¹ − 1.

Output

For every given integer, print the original number thought by the
computer. You have the guarantee that the computer will not try to cheat
you.

Problem information

Author: Jordi Petit

Generation: 2026-01-25T11:13:00.250Z

© Jutge.org, 2006–2026.
https://jutge.org
