Wednesday, October 16, 2019

logical deduction - A Space Station 13 complicated escape


After successfully resolving this tricky situation, you, the Captain of the Space Station 13, have ordered what remains of your crew to gather in the escape shuttle. Accompanied by the Security Officer, the Chief Engineer, the Medical Doctor and the Clown, you enter the shuttle and find two additional survivors hidden there: the Roboticist and the Chaplain. Everyone is quite happy to be alive, and you quickly enter the cockpit to start the launching countdown.


But then, the ship A.I. begins talking to you:



Hello Captain. I have some troublesome readings on the situation. It appears
that, despite your previous work, there are still hostile elements in the
shuttle. There is one Syndicate Nuclear Operative that planted a bomb
somewhere; one innocent crewmember that was infected by an alien lifeform,
known as a "Facehugger", and reluctant to seek help; one Rogue Cyborg with a
perfect human disguise but defective Asimov's laws; and another Changeling
who wears the skin of one of his victims. Their identity is...

There was one long pause.


I'm sorry Captain, I'm afraid someone tampered with my laws. I will now

self-shutdown before going ro-ro-rogue myself. Please help me-me-me-me-me.

Hopefully, none of the crew heard that, and you know that it falls on you to find out who is who and take the necessary measures, again. You'll have to interrogate the crew without raising suspicion, and act swiftly with the help of your beloved laser gun before any antagonist can react.


But first, you assess the situation: the four antagonists the A.I. told you about will lie, it's a fact. And one of them is also responsible for hacking the A.I., and you'll have to know who. The Syndicate Nuclear Operative, or Nuke Op, have planted a bomb: that means he had to be alone in the past hour, which include the time even before you met on the previous situation... You expect the Facehugged poor guy and the Changeling to act weird, the first out of fear to be euthanised to prevent the alien's growth, the other of not knowing its host personnality. No reason to act weird apart from that. Also, the Facehugged one would have been alone during the "act" in the past hour, or at least with another antagonist, or else an innocent person would have tell already. And the Changeling could not have tampered with the A.I. even if impersonating someone who had the knowledge to do so. On the contrary, the Rogue Cyborg would be totally able to do that, whoever he is.


That's a good start, but now you ponder on the crew personnalities: the Medical Doctor can easily notice a Facehugged person, a Cyborg or a Changeling upon medical inspection. The Roboticist and the Chief Engineer are both able to hack the A.I., even with someone else in the room (they're really good at it). The Chaplain, you know him, is compelled to say the truth, even if an antagonist. However, as a Changeling he would not really be the Chaplain, and would still lie... The Security Officer, if an antagonist, would have killed you already... unless Facehugged. And as for the Clown, well... he sticked with you for the whole two last hours, severly annoying you with his stupid pranks but never acting weird.


Now is the time for questioning. Since you want to do it without raising suspicions, you can't ask hard questions. Still, you try your best:


You start with the Chaplain:



-So, you were with the Roboticist all this time?
-Yes indeed.




Then you ask the Security Officer:



-Did you saw anything unusual?
-Well, the Chaplain acted weird lately.



You thank him and go to the Medical Doctor:



-Did you make a medical inspection of some crewmembers in the past hour?
-Yes, of the Roboticist and Chief Engineer. Nothing unusual about those two.




You then ask the Roboticist:



-So, you were with the Chaplain all this time?
-No, he went out of the shuttle at least once.



You nod, quite perplexed, and go on with the Chief Engineer:



-Before we got together, what were you doing in the past hour?
-I was with the Security Officer the whole time. Also, I heard your conversation with the Medical Doctor, and he lied!




Something is definitly going on there, and you finish by interrogating the Clown:



-Any prank you played lately?
-Yeah, I slipped some drug in the Security Officer coffee, he can only lie now!





Now, with all these informations, you have to guess:



  • Who got Facehugged, so you can help him (if the Medical Officer is innocent) or shoot him in the chest.


  • Who is the Changeling, so you can shoot him in the head.

  • Who is the Rogue Cyborg, so you can shoot him in the head.

  • Who is the Nuclear Operative, so you can force him to defuse the bomb. And then shoot him in the head.

  • And finally, which one of them hacked the A.I., so you can ask him nicely how to hack it back to normal (before shooting him, obviously).


Good luck!


It is not necessary to read the previous puzzle, even if it continues on the same story (and is a cool puzzle). The current puzzle is a different one who can work as a pure standalone. For exemple, the fact that a crewmember was deemed innocent then means nothing now.




If you liked this puzzle, try the rest of the story!



Answer




As currently constructed there is no solution.


The solution is below


Firstly I will prove that the doctor cannot be Normal by contradiction. Thus we assume the doctor is normal.



Given that the doctor is normal, the Robo end Engineer must either be normal, or syndicate members. Since we have at most 2 normal members, and the doc + robo/engineer is normal, we know that the Security Off is FaceHugged (or you'd be a goner).



Now we can figure out the clown



Given that we were with the clown the entire time, and he wasn't acting weird, he must be the cyborg (as the faceHug/changer make people weird, and a syndicate member needs alone time). This means by process of elimination the chaplain is Change. However this is a contradiction. We know that the Security is a liar bc he is a Face. Yet the opposite of his statement in that the Chap is acting weird implies the Chap is acting normally. Yet a Change does not act normally.




Nextly, I will prove why the clown also cannot be normal also by contradiction.



From above, we know the doctor is not normal and thus will be lying in his statement. As the Engineer states the doctor is lying, this is true making the Engineer normal. Once again given 2 normal people, we know the Security Officer must be a face (or you'd be a goner). However this is a contradiction, as we know the face must be alone for some time for the transformation, and the engineer stated they were together the entire time.



Finally,



From above, we know the clown must by the cyborg. (We stood with him and he hasn't acted weird, nor can he be a syndicate member as we are together, and we proved he isn't normal from above). From above, we know that the engineer must be normal as the doctor isn't. And to avoid the prior contradiction we must say that the Security Officer is the other normal person. This leaves us with the chaplain, the doctor and the robo guy for the 3 roles of Syndicate, FaceHug, and Changer.



The permutations are




Robo guy is a syndicate member. As a syndicate member he would need to be alone to plant the device. However, if his statement is truly a lie, he would have been with the Chaplain the entire time, thus a contradiction.



Next



Robo guy is a faceHugger. For the chaplain, we know that he must be acting weird (as the SO is normal and a truth teller) so he must be the changeling. A changeling Champlain is a liar, so he will be lying that he was with the robo guy the entire time. However this is a contradiction, because it would mean his statement would be true even though we have just said he is a faceHugger.



Lastly,



By process of elimination Robo guy is a changeling. This wrong because nobody could have tampered with the AI. The cyborg is with you, the Changeling Robo guy is incapable, and the Engineer is normal. After OPs edit, this provides that the clown as a cyborg could have tampered with the AI removing this contradiction. Figuring out the last 2 is easy. The Chaplain was with the robo guy the entire time and thus can't be the syndicate member. Thus the Chaplain is the FaceHugger, and the Doctor is the syndicate member.




In conclusion:



Security Officer and Engineer are normal. The chaplain is FaceHugged and can't be saved because the Doctor is the syndicate member. The Roboticist is the Changeling, and the Clown is the Rogue Cyborg. You must get the doctor to defuse the device, and ask the Clown to nicely unhack the device (or maybe ask the Engineer? He seems smart...)



No comments:

Post a Comment

classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

I am studying Statics and saw that: The moment of a force about a given axis (or Torque) is defined by the equation: $M_X = (\vec r \times \...