Crown chakra puzzle

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====== Crown chakra puzzle ======
===[iron labyrinth module]===
~~NOTOC~~\\
//**This page contains spoilers for the Iron Labyrinth One-shot**//


The Iron Labyrinth has six puzzles for players to solve. Of these, the Crown Chakra Puzzle is the only straightforward puzzle. The puzzle is a simple riddle that requires logical thought to complete

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==== Puzzle setup ====
{{ :wiki:crown_chakra_b.png?nolink|}}
When the players enter the room, it is mostly empty. There is a large crown [[chakras|chakra symbol]] carved into the floor, which covers more than half the floor. In the center of the room their is a pedestal on which is carved the riddle:

> One hundred elemental binders attend a tryout for the Caireal City Owlcats
> 100 of them can bind fire
> 90 of them can bind air
> 80 of them can bind water
> 75 of them can bind earth
> At least how many of them can bind all four elements?

Also on the pedestal is a spherical glass case which contains an amethyst [[keystones|keystone]]. Without being able to touch the keystone, it is very difficult to know what benefit gives. It would require an [[Recall Knowledge]] check (Difficulty 3) (Appraisal), or an [[Investigation]] check (Difficulty 4). If the players fail the check but get a score of two in either skill, they would know the list of possible bonuses that can be cut into an [[keystones#amethyst]]

The players need only to speak the correct answer and there will be a pleasant chime sound and the glass case will slide open. If the players give an incorrect answer, a harsh sounding bell sounds and nothing happens

For each incorrect answer given, reduce the points awarded when the puzzle is solved by 2 points


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==== Puzzle solution ====
10 cannot bind air, 20 cannot bind water, and 25 cannot bind earth. Since we do not know how many of these people overlap, and the question asks us **//at least//** how many can bind all four elements, the worst case scenario is that these groups have no overlap. Therefore, as many as 45 cannot bind all four elements (10+20+25), which means that the remaining 55 would be able to bind all four elements

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====  Reward ==== 
The amethyst inside the glass case has six facets and [[keystones#Sharp Mind]] 3. This grants a +3 bonus to a player's intelligence score if the stone is bound to the player's crown [[chakras|chakra]]. It can also be bound to the lotus chakra

**Points**\\
This is a straightforward puzzle and requires no special tricks
^Method of solution^Points^
|Solved on first guess|6|
|Solved on second guess|5|
|Solved on third guess|4|
|Solved on fourth guess|3|
|Solved on fifth guess|2|
|Solved on sixth guess|1|
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