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You've found the hidden switches,
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evaded the secret traps,
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and now your expedition finally stands
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at the heart of the ancient temple inside The Lost City.
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But as you study the inscriptions in the near total darkness,
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two of the eight graduate students accompanying you
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bump into the altar.
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Suddenly, two wisps of green smoke burst forth
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and the walls begin to shake.
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Fleeing for your lives,
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you come to a room you passed before with five hallways,
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including the one to the altar and the one leading back outside.
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The giant sandglass in the center is now flowing,
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with less than an hour before it empties,
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and the rumbling tells you that you don't want to be around when that happens.
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From what you recall of your way here,
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it would take about 20 minutes to reach the exit at a fast pace.
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You know this is the last junction before the exit,
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but your trail markings have been erased,
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and no one remembers the way.
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If nine of you split up,
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there should be just enough time
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for each group to explore one of the four halls ahead and report back to this room,
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with everyone then making a run down the correct path.
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There's just one problem;
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the inscriptions told of the altar's curse:
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the spirits of the city's king and queen possessing intruders
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and leading them to their doom through deception.
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Remembering the green smoke,
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you realize two of the students have been cursed.
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At any time, one or both of them might lie,
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though they also might tell the truth.
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You know for sure that the curse didn't get you,
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but you don't know which students can't be trusted,
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and because the possessed students may lie only occasionally,
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there is no guaranteed way to test them to determine which are cursed.
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Can you figure out a way to ensure that you all escape?
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Don't worry about the possessed students attacking
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or otherwise harming the others.
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This curse only affects their communication.
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Pause the video now if you want to figure it out by yourself!
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Answer in: 3
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Answer in: 2
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Answer in: 1
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The first thing to realize is that since you know you aren't possessed,
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you can explore one of the halls alone.
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This leaves eight students for the remaining three paths.
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Sending groups of four down just two of the paths won't work
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because if one group came back split two versus two,
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you'd have to guess who to trust.
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But splitting them into one pair and two trios would work every time, and here's why.
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The possessed students might lie, or they might not,
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but you know there are only two of them,
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while the other six will always tell the truth.
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When each group returns to the hall,
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all of its members will either give the same report
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or argue about whether they found the exit.
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If a trio returns in total agreement,
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then you know none of them are lying.
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With the pair, you can't be sure either way,
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but all you need is reliable evidence about three of the four paths.
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The fourth you can figure out using the process of elimination.
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Of course, none of this matters if you're lucky enough to find the exit yourself,
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but otherwise, putting everything together leaves you with three possibilities.
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If each group gives a consistent answer,
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either everyone is telling the truth,
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or the two possessed students are paired together.
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In either case, ignore the duo.
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If there's only one group arguing, both others must be telling the truth,
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and if there are two conflicts,
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then the possessed students are in seperate groups
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and you can safely trust the majority in both trios
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since at least two people in each will be truthful.
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The temple collapses behind you
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as greenish vapors escape from two of the students.
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You're all safe and free from the curse.
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After that ordeal,
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you tell your group they all deserve a vacation,
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and you just happen to have another expedition coming up.