16 Rooms Puzzle - 16 Rooms Puzzle Answer (facebook whatsapp puzzle)
video description
Once upon a time an evil king captured two wise brothers and threw them into prison. He threw each brother into a different room, one in the north of the castle, the other in the south. When they were brought to the castle, the brothers had sacks on their heads and could not see anything, not even the mountains that surrounded the castle. In the dungeon, each of the brothers saw a certain number of mountains, and he could not see those mountains that his brother saw. At 12 o'clock on Monday a servant entered each room and said to one of the brothers: -
-Your brother is located at the other end of the castle. My colleague tells him exactly the same thing I tell you. There are a number of mountains around the castle. One part you see, the part you don't see your brother. The mountain has either 10 or 13. I will come every day at this time to bring you food, and if you and your brother are silent forever, you will stay here forever. -
If one of you is silent and the other says the wrong number of mountains, or you both say the wrong number of mountains, you will both be executed. But if one is silent and the other says the exact number of mountains, you will both be set free. The king promises it to you personally. --
The brothers were wise and knew what to do. On Friday, when the servants entered the cells, one of the brothers was silent and the other said the exact number. The king had no choice but to fulfill his word and set the brothers free. -
How much is the product of the mountain numbers on both sides of the castle? -
With respect, Rade
Date: 2023-11-15
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Comments and reviews: 15
Clevermore
I've seen this viral puzzle crop up on social media so many times, and usually with the wording -He can't visit any ROOM more than once, - which makes it impossible and that's just frustrating for everyone.
A good way to understand exactly why it's impossible is to imagine the grid as a chessboard, with squares alternating between black and white. You can only move to an orthogonally adjacent square, and every time you do, the color (black/white) of the square you're in switches. If you move an odd number of times, you'll be on the opposite color from where you started; if you move an even number of times, you'll be on the same color as where you started. Opposite corners of a 4x4 chessboard would both be the same color, so you'd need to move an even number of times to reach it. (Just count the fewest number of moves needed to reach it: 6) However, in order to travel on every square of a 4x4 chessboard (which has 16 squares) and not travel on any square, including the starting square, more than once, you'd need to move 15 times: an odd number.
Using the chessboard method, you can easily tell if a puzzle such as this is possible or not regardless of the board's size or where you need to start or end.
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I've seen this viral puzzle crop up on social media so many times, and usually with the wording -He can't visit any ROOM more than once, - which makes it impossible and that's just frustrating for everyone.
A good way to understand exactly why it's impossible is to imagine the grid as a chessboard, with squares alternating between black and white. You can only move to an orthogonally adjacent square, and every time you do, the color (black/white) of the square you're in switches. If you move an odd number of times, you'll be on the opposite color from where you started; if you move an even number of times, you'll be on the same color as where you started. Opposite corners of a 4x4 chessboard would both be the same color, so you'd need to move an even number of times to reach it. (Just count the fewest number of moves needed to reach it: 6) However, in order to travel on every square of a 4x4 chessboard (which has 16 squares) and not travel on any square, including the starting square, more than once, you'd need to move 15 times: an odd number.
Using the chessboard method, you can easily tell if a puzzle such as this is possible or not regardless of the board's size or where you need to start or end.
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Gordon
To understand this puzzle, visualize the rooms as spaces on a checkerboard. The start and end square share the same color, and each time we move we either have to go from a black square to a red square or from a red square to a black square. A journey that visits each room only once would take 15 moves. An odd number of moves means we could not end on a space the same color as our starting square. By stepping back into our starting square the trip is now an even number of moves.
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To understand this puzzle, visualize the rooms as spaces on a checkerboard. The start and end square share the same color, and each time we move we either have to go from a black square to a red square or from a red square to a black square. A journey that visits each room only once would take 15 moves. An odd number of moves means we could not end on a space the same color as our starting square. By stepping back into our starting square the trip is now an even number of moves.
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Nour
This was a riddle given to me by my math teacher, about 14 years ago and I never could find the answer. Finally, I can sleep better. In hindsight, though, he explained it in terms of prison escape and that you can enter any room only once, so we never considered going back into initial room. Little unfair, considering the amount of sleep I periodically lost over this. Lol.
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This was a riddle given to me by my math teacher, about 14 years ago and I never could find the answer. Finally, I can sleep better. In hindsight, though, he explained it in terms of prison escape and that you can enter any room only once, so we never considered going back into initial room. Little unfair, considering the amount of sleep I periodically lost over this. Lol.
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Jessica
I LOVE your puzzles! I worked this one out (for once I got it) but I still need the answer to who designed such a dodgy hospital, why would anyone want to expose themselves to 12 illnesses when they just got better, and what kind of illness only passes with 2 visits? I do enjoy the lack of logic often found in logic puzzles - Keep up the awesome videos! -
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I LOVE your puzzles! I worked this one out (for once I got it) but I still need the answer to who designed such a dodgy hospital, why would anyone want to expose themselves to 12 illnesses when they just got better, and what kind of illness only passes with 2 visits? I do enjoy the lack of logic often found in logic puzzles - Keep up the awesome videos! -
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Easy_S
I'd have a word with whomever designed this -hospital- because some corridors would have come in handy. All visitors, doctors, nurses etc (except for those who only visit room 4) will get ill because they'll have to visit room 4 at least twice, once on their way to go see a patient and once on their way back out.
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I'd have a word with whomever designed this -hospital- because some corridors would have come in handy. All visitors, doctors, nurses etc (except for those who only visit room 4) will get ill because they'll have to visit room 4 at least twice, once on their way to go see a patient and once on their way back out.
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Qermaq
I approached the second problem this way - chess board color the rooms. Room 13 and room 4 will both be the same color, but we can only move opposite colors. Thus it will be an odd number of moves to get to the exit room, since we started on the same color.
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I approached the second problem this way - chess board color the rooms. Room 13 and room 4 will both be the same color, but we can only move opposite colors. Thus it will be an odd number of moves to get to the exit room, since we started on the same color.
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Bhukya
I have 50 rupees I spend 20 ruppee balance 30 and I spend 15 balance 15 and again I spend 9 balance 6 and again I spend 6 balance 0 total spend equal to 50 and total balance equal to 51 where is 1 ruppee come solve it
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I have 50 rupees I spend 20 ruppee balance 30 and I spend 15 balance 15 and again I spend 9 balance 6 and again I spend 6 balance 0 total spend equal to 50 and total balance equal to 51 where is 1 ruppee come solve it
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anand
The above solution is not valid in case the recovered person has to enter any room exactly once. That's what the explanation says.
Thank you so much for such wonderful puzzles. -
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The above solution is not valid in case the recovered person has to enter any room exactly once. That's what the explanation says.
Thank you so much for such wonderful puzzles. -
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Bot
This video is a copy of a TED ed riddles puzzle.
The story was different but the problem was same. I didn't expect this coming from you.
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This video is a copy of a TED ed riddles puzzle.
The story was different but the problem was same. I didn't expect this coming from you.
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education
we could have shifted patient 3 to 4th room and visited both of them together and left. This also could have been a possible answer.
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we could have shifted patient 3 to 4th room and visited both of them together and left. This also could have been a possible answer.
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Tony
Americans are at a disadvantage because room 13 will be occupied by a new patient nanoseconds after the cured patient is discharged.
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Americans are at a disadvantage because room 13 will be occupied by a new patient nanoseconds after the cured patient is discharged.
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Sreekumar
2-2 is possible. Visit room 3 and come back to room 1 then visit rooms 2 and 4 respectively and exit from 4
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2-2 is possible. Visit room 3 and come back to room 1 then visit rooms 2 and 4 respectively and exit from 4
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Brijesh
Solved it, using the idea that we need to break one room/by pass one room that we were missing in each try.
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Solved it, using the idea that we need to break one room/by pass one room that we were missing in each try.
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Kerbal
This problem has other applications! Oxygen Not Included heat exchanger piping has this exact same problem!
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This problem has other applications! Oxygen Not Included heat exchanger piping has this exact same problem!
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Srk
I think he was traversed in order so by he miss no 8 so he visit and get out-, the solution related to it
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I think he was traversed in order so by he miss no 8 so he visit and get out-, the solution related to it
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