The impossible chessboard puzzle

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Information The impossible chessboard puzzle

Title	:	The impossible chessboard puzzle
Lasting	:	18.42
Date of publication	:
Views	:	1,4 jt

Hello, maybe there's something I'm not get getting but can't the rule be "flip the coin where the key is"?
Comment from : Eduardo Gonzalez

Did gpt4 succeed?
Comment from : sundar halder

11:34 i heard "chemo patients"
Comment from : Darkstar32

Why not a pyramid? It has 8 axis
Comment from : Grims Bar

It's not impossible, if you include decimals between positions in certain extent x)
Comment from : Lucas Lis

6:00 Easy at least to explain it when it comes to 3D world positions Cube? Let's see! I just paused right now so let's see!
Comment from : Lucas Lis

Why don’t you just flip over the coin with the key?
Comment from : MeowingTitan

all that for a "sorry, but your solution is in another castle" c'mon!!
Comment from : Jason Robinson

little does the warden know i’m a chess master and inliterally can just memorize the whole board
Comment from : Jayvjunk Jayvjunk

After finishing the video Couldn't thumbs down fast enough
Comment from : sasha s

Why does this not work by a 6*6 board?
Comment from : Kobi MOLL

Me as prisonner 1brbPut the key under a square/bbrbwait 1 month to get dust on every square/bbrbflip the coin on the key's square/bbrEasy solution lol
Comment from : CosMax

If the two “prisoners” so called can talk to each other’s beforehand they can come up with a pre-set cipher based on the chess board and they can actually solve it However, if they cannot your proof applies Thanks for the puzzle but no thanks for the solution Imma go flip a coin
Comment from : TSM

I don't know anything about math but I can tell you that I can solve it by recording the coins around the key and tell him outside that the key lies in a place where it is vertically (0,1,1) and the horizontally (0,1,0) it is very rare that there woukd be common points but but if there are i would change them with my one move And if there are multiple i would take the diagonals too
Comment from : Antonio Vivaldi

How I prove my height is 6,2
Comment from : T0ni5 Astra

Yes please make a video on relation to error correction codes
Comment from : Save changes to untitled?

Am I only one who is feeling urge to dislike and report this video
Comment from : manu sarda

prisoner 2: guesses a 1/64 chance and gets it to solve the problem
Comment from : Alan 5000

Bro, my friend is so dumb, that even if I told him where the key is, he will still fail
Comment from : ميليوداس ساما

Plot twist: „Do meth“ is the message to one of the viewers though… 😅
Comment from : Andre Genter

Hate the short you made for this but I must know now
Comment from : Jyrvo

Flip the coin on its side
Comment from : CHUNKYMONKE

I think I should know more math to understand this puzzle
Comment from : Kaneesh Kharran

Me at 8:15: WTF there’s no freaking waybrbrI’ll update later if anything changes
Comment from : Van Vlear Music

Standing a coin on its side 🧠
Comment from : becauseYES

As prisoner 1 take the key and walk out Comrades are overratedbrIf you like your comrade: After walking away, file a case because of discrimination for the warden as he treated your comrade unequal
Comment from : Magicman8508

Red green blue lets now add purple or magenta
Comment from : Dago

Nope I have a PhD and my mind is fried Nope, this makes no sense to my mind
Comment from : Chris Parker

Easy: set the flipped coin in the corner of the of the square it was set in instead of the center
Comment from : XtremeFPS_

If we can talk before it, I'll just say top left
Comment from : Chris Taylor

Easier solution, I cough and sneeze all over the hand I use to flip the coin so when the other guy walks in he just has to look for the gross coin
Comment from : thesuicidefox

Imma just out the coin on its side
Comment from : B Ginty

chat gptbrInteresting puzzle! Let's see if we can solve it together To summarize the situation:brbr There is a chessboard with 64 squares, each containing a coin The coins are turned either heads or tails in a specific pattern determined by the Wardenbr The Warden hides a key inside one of the chessboard squaresbr You are allowed to flip over one and only one of the coins before leaving the roombr Your fellow prisoner enters the room after you and must deduce the location of the key based on the pattern of heads and tails they see on the chessboardbrbrTo solve this puzzle, we need to find a strategy for flipping one coin that will allow the second prisoner to deduce the location of the key Here's a strategy that works:brbr Number the squares of the chessboard from 1 to 64, starting from the top-left corner and moving row by rowbrbr Count the number of coins showing heads If it's an even number, do nothing (don't flip any coin) If it's an odd number, flip the coin on square 1 (top-left corner)brbrExplanation:brbr When you enter the room, you have no information about the location of the key Flipping the coin on square 1 will change the number of heads from even to odd or from odd to evenbr When your fellow prisoner enters the room, they will see the pattern of heads and tails If the original pattern had an even number of heads, and you did not flip the coin, they will see an even number of heads and can deduce that the key is in the square that you flipped (square 1) If the original pattern had an odd number of heads, and you flipped the coin, they will see an odd number of heads and can deduce that the key is in the square that you didn't flip (not square 1)brbrThis strategy ensures that the second prisoner will have enough information to deduce the location of the key and potentially win freedom for both of you
Comment from : Iam Thiviyan

You can solve any size board by refusing to flip a coin (a 3x1 board has 24 states where in only 1 state you need to refuse to flip one while a 2x2 board has 64 states where you need to refuse to flip in 8 states) the ability to refuse to flip gives 1 extra dimention of movement making it super easy to solve
Comment from : Drakonov

haha, i turn the t upside down
Comment from : Vladimir Alexander Mendez Martinez

Could I move all of the pennys to the bottom right corner of their square aside from the key penny which would go top left?
Comment from : Trikkster

"Solving" the puzzle before finishing the video to see if I'm even on the same page:brbrI would tell my partner I'm going to flip every coin to heads After, I'll flip the spot with the key to tails GGEZ
Comment from : Rico

Although it is amazing how this makes sense, it makes you wonder who first thought of this ????
Comment from : Ahmed Karim

1:37 keep your eyes on the road when you drive
Comment from : William Patrick

The Warden Only said "To flip a coin" not that you had to "put it back Where it was" As such, you could just Flip the coin and put it on the square where the key is
Comment from : Cynical mushroom

so was given a link to this for the solution off a clip and it flat says you wont' go over the solution fastest way to get me to ignore a channel, pulling my leg
Comment from : Iggybart05

If me and the inmate were smart enough to understand this, we would't have ended up locked up in the first place
Comment from : Oumaima

the warden sh*ts his pants while watching me balance the coin on its edge
Comment from : Kukulazek

define turning they all look look horizontally oriented to me - turn one 45deg in the board plane
Comment from : Great Value Bleach

Mmmm a way to do it is draw an arrow pointing the key This doesn't work with small boards but works with every big enough board😂
Comment from : Adriano Lodia

Thankfully for me we live in a 3-dimensional world so I would put the coin upright on the square that has the key
Comment from : ScandinavianHeretic

I've never come out of a YouTube short more confused and I can say the same for this video
Comment from : Macdongr

I thought of a much more intuitive solution that doesn't require math but is very specific and situational, all you have to do is flip the coin above the key horizontally instead of vertically, that way this will be the only coin turned different from the others, so prisoner 2 can easily identify where the key isbrbrBut this only works if all the coins are pointing in the same direction at the beginning and have been flipped the same way by the warden, ie he has to be a perfectionist maniac
Comment from : Entokyado

Now do this mentally and hopefully both of you understand this and not make a mistake
Comment from : BastiXIII

Okay heres my issue What two inmates will be that good at math to make some kind of hyper cube AND also be dumb enough to be in jail
Comment from : Pug Pug

You mean Parker square?
Comment from : RicardoA BH

slightly misalign the coin over the keybrnow the puzzle is how you convey this to prisoner 2 without the warden getting wise
Comment from : Lil Harm

Maybe flipping a coin should not be obligatory here
Comment from : Alex Werner

Flip the coin where the key is on the edge Case solved
Comment from : CarBON Tube

Isn't this the light switch puzzle? First inmate hold the coin they're gonna flip for a significant amount of time Inmate 2 comes in as fast as possible and touch every coin until the warm one is found Easy
Comment from : M 2000

Actually, If you are the secobd inmate, you can deduce that malicious warden, knowing your strategy will place ut in the position 2 and set it up, so it can not be communicated So a good idea would be to discuss the strategy presented and just open the last box But the warden will know that, so the best action for them is to set it yp randomly So that all comes to chance There is no guarantee to win, but also no guarantee to loose
Comment from : Dead Ded

The thing that surprised me was that on the 4d cube each diagonal was one color, that seems almost too simple and orderly to be correct, but it is right
Comment from : NochSoEinKaddiFan

The prisoners can understand how to solve it with pure math, but they cannot really solve it in a lifetime The have to manage 2 power 64 combinations: so it's basically impossible to solve for humans
Comment from : Michele Zanarotti

Pretty sure just waiting a week or two to flip over the coin is much simpler The 2nd person just sees which coin has no dust on it and you don't have to rely on them knowing any math
Comment from : KGB

I love these kinds of problems because I can never solve them
Comment from : Sebastian-Benedict Flore

In case if 3, how about moving to a corner which is a square instead of a corner brbrI can't visualise it because its way too complicated
Comment from : Arpit Jangir

Just rotate the coin vertically
Comment from : Gianfy Mar

this man just went from flipping coins on a chess board to painting the corners of a four dimensional cube in the first 3 minutes of the video Actually insane
Comment from : Anton Anton

2:24 Clearly this isn't an error, but a signbrbrbrbrbrDon't do drugs kids
Comment from : Spaghetti

Or be like on the left side go up y amount of squares and over x amount
Comment from : boosted man

Instructions unclear, doing meth
Comment from : The5lacker

I love methbrMakes the reality of situations feel surreal and hurts my head if i do too much
Comment from : Definitely Not From Space

DudebrDo you really think that prisoners are that smart?
Comment from : perinced

If the coins have been "carefully" turned over to be heads or tails I would assume the coins are all facing the same way Simply flip the coin vertically that has the key under it It will be the only coin upsidedown
Comment from : Warrick Braddick

Once you made the computer comparison I realized there is nothing I can do My luck will have it so that whatever coin I flip will be struck by a stray cosmic ray and flipped back into its original position
Comment from : Pensive Scarlet

I have a question, that I'm not yet able to figure out but some of you may find it interesting brWhat would happen if we slightly changed the question? Instead of one compulsory flip, what if we changed it to at most 1 flip brSo now there is no compulsion to always flip brHow would the solution space change? brOf course, the boards with size a power of two would still work ( we could continue using the same solution), but what about other sizes, brwhat new sizes would now admit a solution and which ones would still be excluded?
Comment from : Anantha Hegde

I paused the video the moment I thought you were finished explaining and I missed a rule and a clue The rule was that you had to flip a coin and the clue was that the warden might be adversarial So I thought the puzzle was to maximize the probability of survival under random placement I eventually got the 2^n case but it was a much harder path without the clue I'd like to hear your thoughts on that problem IIRC it's 154/160 for 5 squares, and I got 371/384 for 6, but that is very hard to confirm with brute force
Comment from : Cricket Temple

Great video! Consider pinning a comment with the link instead of only putting it in the description
Comment from : Adam Brewer

You should add the link for this to your shorts that you made for it
Comment from : AmericanKid778

This was a delightful video One fun thing I noticed while playing with trying to color cubes is that the constraint that we can get to each color with one coin flip only introduces constraints between corners with same parity (same parity of 1s in their coordinates) This means that any solution can be formed from independent solutions on the even and odd corners This also makes reasoning through the 3D case easier because you don't have to distract yourself with colors on half of the vertices And it makes for an even simpler coloring problem: In 3D, you are looking for a coloring of the tetrahedron formed from, say, even corners of the cube, and with opposite corners connected You obviously can't 3-color the corners of that tetrahedron In higher dimensions, the polytope you get by taking the even corners, and connecting them across cube faces is harder to visualize, but it is interesting to know that solving the original puzzle is the same as finding a coloring of the vertices of that polytope
Comment from : Blaise Gassend

flip the coin on its side
Comment from : Smicc

Completely neglected to mention that you’re allowed to make a plan with your partner prior to flipping a coin
Comment from : Tanner

I get the concept I just dont get the part where you add up the squares Do you add up each row?
Comment from : enigma1863

Perhaps you can turn the coin diagonally?brConsidering the animation in this video, if it's heads, you can turn the coin horizontally - revealing a upside down T
Comment from : Odin

Dear God, 3 minutes and STILL no answer? Tell us the answer, that's all we care about, not all this lousy waffle!brbr{:o:O:}
Comment from : Ansfrida Eyowulfsdottir

every question has a solution
Comment from : atharv yadav

bro i am still waiting for that probabilities of probabilities part 3
Comment from : Anton Maier

Never let them know your next move: flip the coin sideways
Comment from : Sun Tzu

my guess is brbrdivide the board into 4 brwhatever quadrant the key is in mirror the coin flip on the diagonally oposite quadrant so if the keys in A8 you flip the coin in h1
Comment from : Sarge