## Truths, Lies, and Ninjas: A League of Legends Brain Teaser, by VVinrar

*I am giving away $10 RP for either the first or best explanation (depending on what I get for answers). A winner will be announced Thursday, June 28. I'm currently overseas and I can't send out a prize immediately, but I will do it within the next few weeks when I have access to an RP card.*

When A DIFFerent View first started, DiffTheEnder didn't want this to be a straight theorycrafting blog. He was more interested in doing "fun" blogs such as mythbusters-style posts, the occasional mathcraft, and of course...the brain teaser. Unfortunately for Diff, the mathcrafting was the only part of the blog that resonated with the viewers, so we got stuck with with doing that; however, I'll be temporarily bringing back the tradition of brain teasing in today's post.

Hidden within the sh*tty LoL fanfiction below is a teaser which you must solve to win a prize of $10 RP. Good luck, and no cheating!

### The Brain Teaser/Background

Following a breakdown in negotiations between Noxus and Demacia, the temporary cease-fire that the two city-states had agreed upon was broken when Noxus sent a small crack team of soldiers led by Emilia Leblanc of the Black Rose to pillage the countryside of Valoran. After some local farmers reported that their homes had been burned by the Noxian forces, Jarvan III decided to send out an expedition to confront Leblanc. In front of the king, both Garen Crownguard and Crown Prince Jarvan Lightshield the Fourth volunteered to lead the force to defeat the Noxian forces and capture Leblanc for judgment. The king could not deny the request of either champion due to the deeds of valor that both had accomplished recently, so he sent both to defeat Leblanc in a joint expedition. After exploring the countryside for several hours, the Demacian forces discovered Leblanc's forces waiting for them. In the ensuing battle, all of the Noxian and Demacian troops involved were either killed or incapacitated, including the three champions themselves.

Fortunately for the Demacians, an Ionian relief force showed up shortly after the conclusion of the battle. Coincidentially, three ninja medics were part of this group: Surgeon Shen, Nurse Akali, and Kennen M.D. They were able to distinguish who the three wounded commanders were by their armor, but due to lack of medical supplies they could not positively identify any of them. As a result, the three were laid side by side for questioning from the ninjas. It was determined that the best course of action was to imprison Leblanc for her crimes, return Garen to Demacia, and take Jarvan IV back to Ionia so that Soraka could examine to see if Leblanc had infiltrated his mind.

### The Challenge/What To Do

Due to some obscure Kinkou rules, the three ninjas are only allowed to ask three yes/no questions to their wounded: one each for Shen, Akali, and Kennen. The questions must be able to be definitively answered, so they cannot ask anything that might result in a "maybe" answer. They can only ask each question to one person, so if the ninjas ask the same question to more than one champion, it will count as multiple questions.

Each of the wounded commanders (Garen, Leblanc, and Jarvan IV) knows the identity of the other two wounded, but due to the known lying habits of Leblanc and the unknown state of Jarvan's mind, the medics cannot take any of their claims in regards to the identities of the others in good faith. The only thing that the ninjas know is that Garen will always tell the truth, Leblanc will always lie, and Jarvan's answers cannot be trusted - he can either lie or tell the truth.

Your goal to solve this brain teaser is to help the ninjas identify the three yes/no questions to be asked to the three wounded champions and who they will ask them to. You do not have to identify the champions, only the questions asked and who they will be addressed to. It is a good idea to explain your answer in a way it can be understood clearly.

**TL;DR: Solve teaser, win RP.**

Clarification/Emphasis based on some of the answers I've been seeing: You do not know who each person is. Only Garen/Jarvan/Leblanc know the true identities of each other.

** **

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This is a fun and challenging question.

Let us name Garen as T (truth), Jarvan as R (random), Le Blanc as L (liar)

There are six orders they could be in: TRL, TLR, RTL, RLT, LTR, and LRT. Start by asking the 1st person a question. No matter what your question is, if the first question is the random one, he could answer either way. So RTL and RLT will be in both groups. The trick is to ask a question that will allow you to know where the random one (Jarvan) isn't. So you want TRL and LRT to answer one way and TLR and LTR to answer the other.

So I would ask person 1: Consider one of the other two who does not answer randomly. If I were to ask him if person 2 is the random one, would he answer yes? If I get a yes answer, I know the order is RTL, RLT, TLR, or LTR. If I get a no answer, I know the order is RTL, RLT, TRL, or LRT.

If I get a yes, I know that person 2 is not the random one, so I will ask him if he is the random one. If he says yes, he is the liar (so RLT or TLR). For my third question, I will ask person 2 if person 1 is the random one. Yes means TLR, no means RLT. If he says no to question 2, he is the truth teller (so RTL or LTR). Again, I will ask him if person 1 is random. Yes means RTL and no means LTR.

If I get a no, I know that person 3 is not the random one, so I will ask him if he is the random one. If he says yes, he is the liar (so RTL or TRL). For my third question, I will ask person three if person 1 is the random one. Yes means TRL and no means RTL. If he says no, he is the truth teller (so RLT or LRT). Again, I will ask him if person 1 is random. Yes means RLT and no means LRT.

Sorry for late reply.

I can solve this quite easily, wait a couple days until two of them die of their wounds. Then once they are dead, perform autopsies on them to determine the identities of the two deceased. At that point, we can know who they truly are, and which one is wounded.

If Leblanc is still alive, execute her for crimes against Ionia. If Garen is left alive, execute him to keep his goody goody mouth hush hush about the gross negligence of the medical community, blame the murder on Leblanc. If Jarvan is still alive, have Soraka check his mind for infiltration, then execute him, pin the crime on Demacia, and go to war with them and conquer them as well. It's a win-win-win no matter the outcome.

Knowing Leblanc's armor would be vastly different to both Garen's and Jarvan's, that she is a liar and knows the true identities of both Garen and Jarvin I would only ask her questions.

Shen asks-Are you Leblanc...No.

Akali asks-(Points to the person whose armor makes me assume is Garen) Is he Garen...No.

Kennen asks-(Points to the person whose armor makes me assume is Garen again)Does he represent Damacia...No

The third question was asked to establish Leblanc as the liar. I know that the armor belongs to a Demacian, clearly he represents Damacia. Meaning she lied about Garen being Garen as well as her being Leblanc.

I'm not sure if this counts as 3 questions or not but,

first I would ask "Can you hear me?" to each of the 3 champions,

LeBlanc being a liar would say

noGaren being trustworthy would say

yesJarvan could say either

nooryesIn the case that

Jarvansaidno,Garenwould be the only one that saidyesand I would point to either other champion and ask Garen "Is that person Jarvan?"If replied with

nothen the champion is LeBlancIf replied with

yesthen the champion is JarvanIn the case that Jarvan said

yes, then LeBlanc would be the only one to saynoso I would approach her and point to one of the other champions and ask her "Is this Jarvan?"If replied with

nothen the champion is JarvanIf replied with

yesthen the champion is GarenAfter that, I would confirm with Garen with a quick "Are you Garen?"

Alternate starting questions to the "Can you hear me" could be: "Is the sun up?" (Depending on the answer and whether the sun was up or not the rest would be the same), or "can you talk?".

I Hope that is acceptable.

I hope my solution is good , I only ask 2 questions but I ask the first one multiple times

Let's note the champions with letters A,B and C.

The solution:

You ask all the champions the folowing question: Are you Jarvan?

Answeres

a)A = Yes , B = No , C = No

or

b)A = Yes , B = No , C = Yes

In Case a) u know champion A is LeBlanc so u ask her is champion B Jarvan ?

If she says yes then u know champion B is Garen and C is Jarvan

If she says no then champion B is Jarvan and C is Garen

In case b) you know that champion B is garen so you ask him: Is Champion A Jarvan ?

If Garen says yes then champion A is Jarvan if he says no then the champion is LeBlanc

Lets call the champions A,B and C

first of all you ask each one if he is leblanc: yes=>jarvan no=>jarvan/leblanc/garen

- Solution :

You keep asking till you get a yes answer

Lets assume that the champion who says yes is A

When A has answered yes then you know its Jarvan and that B and C are Garen and Leblanc

You ask B if he is Jarvan: yes=>Leblanc no=>Garen

If B answered yes then B is Leblanc and C is Garen

If B answered no then B is Garen and C is Leblanc

Solution 2:

In the case that Jarvan mind was not being manipulated by Leblanc then he will say the truth

Thus, the answer to the question about being Leblanc will result in none saying yes

You then ask each one if he is Garen: yes=>Garen/Leblanc no=>Jarvan

Assume the one who answers no is Jarvan as A

You ask B if he is Jarvan: yes=>Leblanc no=> Garen

If B answered yes then B is Leblanc and C is Garen

If B answered no then B is Garen and C is Leblanc

But you can ask only three questions overall

Line them up A,B,C

Ask A if Garen is here (any question that you know should be answered yes will do). Yes means its either Garen or Jarvan telling the truth. Ask A if he is Garen if he says yes its Garen, if he says no its Jarvan. Ask A if B is LeBlanc. If yes then its Leblanc, if no then it is whoever was not A out of Garen and Jarvan. C is obviously the only person left.

If they answered no to the first question then it is either Leblanc or Jarvan lying. Ask A if B is Garen. If no then it is Garen. If yes then C is Garen. Ask Garen if A is Leblanc. If yes then it is Leblanc, if no then it is Jarvan. Once again you've found two champions and the last one is whoever is left.

You know that Jarvan can change his stance between questions ? So he can lie to the first one and then start telling the truth.

first off: are allowed to ask multiple questions to one person? so like ask all 3 questions to one person or does it have to be 1 question to each person...

second off: all you guys who are saying like "if i asked you "asdf?", would u answer "asdf"?

cmon... thats 2 questions in one. and ucant split it into two even though sometimes u only need two questions with this 2 part question to solve who is who because of jarvan. idk if its possible otherwise, but it seems like its taking the fun away from the puzzle...

Line them up. Ask the middle one the following two questions:

"Is the one on your right Jarvan?"

"Is the one on your left Jarvan?"

If he answers Yes to both, this is Jarvan, infiltrated. Ask him if the one on

his rightis Garen. If he says Yes, the heroes are LeBlanc, Jarvan, Garen. If he says No, the heroes are Garen, Jarvan, LeBlanc.If he answers No to both, this is Jarvan, uninfiltrated. Ask him if the one on

his rightis Garen. If he says Yes, the heroes are Garen, Jarvan, LeBlanc. If he says No, the heroes are LeBlanc, Jarvan, Garen.If he answers Yes to one and No to the other, then this is either Garen or LeBlanc. Ask "Are you Jarvan?". If he answers No, then this is Garen, and he already told you (truthfully) where Jarvan is. The last is LeBlanc. If she answers Yes, then this is LeBlanc, and whoever she said isn't Jarvan is, and the last is Garen.

-i will put them in a line one next to the other

-i will ask to the middle one : "if i ask you if the person at your right side is Jarvan... will you say yes?"

This is a question within a question if the person in the right side IS Jarvan that means im asking Le Blanc or Garen, and the person to the left is also Le Blanc or Garen

Garen will answer yes to the first question ("if i ask you if the person at your right side is Jarvan") and for that reaseon (he will say the truth) he will say yes

Le Blanc will answer no (lie) to the first question so now she will lie again: she will answer yes

I can also get a "Yes" answer if i am asking Jarvan

This are the only possible ways i can get a "Yes answer", the three o them involves Jarvan being in the middle or being the person to the right so if i get "yes" for an answeer the only thing i know is the person to the left ISNT Jarvan

If the person to the right ISNT Jarvan

- i am asking Le Blanc: She will answer (lie) yes to the first question (if i ask you if the person at your right side is Jarvan) so she will lie again in the second question (will you say yes?) and say NO

- i am asking Garen: he will be honest to the first question (If i ask you if the person at your right side is Jarvan) so the answer to the first should be "no", and the new answer (... will you say yes?) will be NO

- i can get a "no answer" if i am asking Jarvan.

This are the only ways i can get a "No answer" and the three involve Jarvan being in the middle or NOT being in the right side (AKA he is in the left side) so the only thing i know is the person at the right side ISNT Jarvan.

With the first question i know one of them ISNT Jarvan so the next two questions will be for him /her

Second question: ¿Are you Jarvan?

Garen will say NO because he will say the truth

Le Blanc will say YES because she is a liar.

Now i know who he/she is.

Third Question: Is the person next to you Jarvan?

Iif i am asking Le Blanc i will not believe her answer. If she says yes i i know he isnt and if she says no i will know he is. That way i know who is who.

If i am asking Garen i will believe him.

Problem solved.

btw, sorry for the bad grammar, im still not used to write in english

1. "If I asked the person who would certainly answer in other way than you whether you are Garen, what would be the answer ?"

2. The same question, any other person.

If somebody answered no, he is Garen. If both people answered yes, then the third one is Garen. Now we have Garen identified and we can ask him whether the person next to him is Jarvan. He will tell the truth.

***

Additional explanation (if needed): Garen and only Garen can answer "no" to the question 1. If we ask Le Blanc, then "the person who would certainly answer in other way than you" will refer to Garen and she will lie about truthful Garen`s answer (so generally we have a false answer "yes"). If we ask Jarvan and he chooses to lie, then the description will refer to Garen again and we will get false "yes" again. If we ask Jarvan and he chooses to tell the truth, the description will refer to Le Blanc this time (!) and he will tell us the truth about her lies (so generally he will repeat us her false answer "yes"). Finally, if we ask Garen, he will refer to Le Blanc and repeat us her false "no".

i think this doesn't work, because if you happen to ask Jarvan your question, he won't have a person who would CERTAINLY answer in other way than him. so he can't really answer the question, which is against the rules of the riddle, i believe. otherwise, it would be very clever, and much easier than my solution! :)

The assumption was that Jarvan knows at the moment, if he is lying or not (even if nobody else knows it). So, if he is lying now, the person who would certainly answer in other way than him would be Garen and Jarvan knows about it. And if he is telling the truth, he knows that his temporary opposite is Le Blanc now. I am not entirely sure whether it is allowed, but I like the simplicity of this solution :)

oh i get it! very clever :) i thought that jarvan only answered randomly, but having read the text again, i now see that it says "he can either lie or tell the truth", which IS different from answering completely at random, in the end.

A good try. You're on the mark with asking questions related to each other. However, garen's answers are entirely unreliable, so he could perfectly easily answer 'yes' to the first question, which has a 66% chance of happening, and would throw a spanner in your works.