Mars Shuttle Mission

Location: Hallway outside stateroom 314

You carefully walk up to room 314. There is an envelope on the floor in front of the door. Your onboard ally is a speedy chap! You listen at the door and hear nothing. As the tech mentioned, the envelope contains the broken remains of a keycard. You will have to hurry to reassemble and program the keycard before Mr. Green returns.

Objective: Enter The Room

Enter Encrypted Keycode

####

Sorry, that is not the correct access code.

Congratulations! [pw1] is correct!

Enter Room 314

Click on the image to examine.

Click on card to flip.

Hints

Hint #1

The cardmaker will not work without a keycard. Put together the keycard by swapping tile positions until they are all in place.
Tiles darken when in the correct place.

Hint #2

The finished keycard looks like this:

Hint #3

There is only one 7-digit number on the card.
That is the keycard ID that needs to be typed into the CardMaker 2000.

Hint #4

If you receive an error message, you need to look it up in the CardMaker User Manual.

Hint #5

Once you press the "Manual" button on the device, it will generate its own 7-digit card ID.
Apply the appropriate formulas in the manual to those numbers, in order.

Hint #6

The first digit is 3. The first formula in the manual is x².
3 squared is 9, so the first number you enter should be 9.

Hint #7

Here are the codes to create the encrypted ID number from the generated card ID:
* 3: 3² = 9
* 7: Enneagon (9-sided figure) - 7 = 2
* 6: Next prime number following 6 = 7
* 1: 1x2+6 = 8
* 4: Square root of 4 = 2
* 2: 2-(2/2) = 1
* 5: (Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8) The number after 5 is 8

ANSWER

The encrypted keycard code is 1647