## Puzzle challenges!

**Moderator:** Forum Moderators

### Puzzle challenges!

Hello everyone!

This topic is a recopilation of puzzles that will make you think a lot.

The person who solved the last puzzle can post another puzzle. If he/she doesn't know any other one, he/she can just say «I don't know any other one», and then, any person can give one, but only the first posted after the solution of the last puzzle will be the official one to solve.

The nine braziers

The holy water

The 100 green-eyed dragons

The two sages and the evil king

The four races

The four witness

The poisoned wine

The impossible math riddle

The 100 tigers and the sheep

The two paths (variation: The two gates)

The old hermit

The hanging one

The elephant

The spy

The 100 coins

The 101 dwarves (variation: The hats again)

The balancing scale

The 20 bags of coins

The spider and the ant

The 20 pirates

The quest of Delfador

The 7 races of Wesnoth

The 4 injured men

The nested riddle

The other impossible math riddle

The footpad, the mage and the lord

The fuses and the lighter

The pair of socks

The extra coin

The father and his sons

The travel

The crossroad (variation: The harder crossroad)

Have fun!

You enter a room with 9 braziers arranged in a square (3 x 3), all of which are off except the center one, that it is on. In order to advance your path, you must light them all. But they are not normal braziers, since ...

- If you turn on one, the one in the center (every time I talk about «the one in the center» I mean the one that is in the center of the square, NOT in the center of the line) and the opposite one will turn on.

- If you turn one off the center and its opposite turn off too.

- If one that is already on has to be turned back on then it turns off.

- If one that is already turned off has to be turned off, it will turn on.

- If you turn on the center one, it turns on the right line and the top center one too.

- If you turn off the center one, those on the left line and the bottom center turn on.

As I said before, it is a complicated puzzle. If you found the answer, post it here using this method:

This topic is a recopilation of puzzles that will make you think a lot.

**Rules:**The person who solved the last puzzle can post another puzzle. If he/she doesn't know any other one, he/she can just say «I don't know any other one», and then, any person can give one, but only the first posted after the solution of the last puzzle will be the official one to solve.

**List of puzzles:**The nine braziers

The holy water

The 100 green-eyed dragons

The two sages and the evil king

The four races

The four witness

The poisoned wine

The impossible math riddle

The 100 tigers and the sheep

The two paths (variation: The two gates)

The old hermit

The hanging one

The elephant

The spy

The 100 coins

The 101 dwarves (variation: The hats again)

The balancing scale

The 20 bags of coins

The spider and the ant

The 20 pirates

The quest of Delfador

The 7 races of Wesnoth

The 4 injured men

The nested riddle

The other impossible math riddle

The footpad, the mage and the lord

The fuses and the lighter

The pair of socks

The extra coin

The father and his sons

The travel

The crossroad (variation: The harder crossroad)

Have fun!

**The nine braziers:**You enter a room with 9 braziers arranged in a square (3 x 3), all of which are off except the center one, that it is on. In order to advance your path, you must light them all. But they are not normal braziers, since ...

- If you turn on one, the one in the center (every time I talk about «the one in the center» I mean the one that is in the center of the square, NOT in the center of the line) and the opposite one will turn on.

- If you turn one off the center and its opposite turn off too.

- If one that is already on has to be turned back on then it turns off.

- If one that is already turned off has to be turned off, it will turn on.

- If you turn on the center one, it turns on the right line and the top center one too.

- If you turn off the center one, those on the left line and the bottom center turn on.

As I said before, it is a complicated puzzle. If you found the answer, post it here using this method:

Code: Select all

```
I turn on the center brazier,
I turn on the middle-left brazier,
I turn off the center brazier,
I turn on the bottom right brazier,
...
(Note: This is just an example)
```

**Solution and Winner:**

Last edited by Ephraim on June 6th, 2019, 7:16 pm, edited 33 times in total.

The Great Library of WML is huge and extense. I must find the book who will lead me to create a perfect campaign.

**Future Project:****History of Vindalf**### Re: A very difficult puzzle

Just to confirm, the rules are as follows:

-You can toggle any of the switches.

-If you toggle a switch that isn't in the center you also toggle the center and the opposite switch.

-The center is conditional, if you toggle it while it's on it toggles one set of 4 switches and if you toggle it while it's off it toggles those four switches opposite switch.

Assuming my understand is correctly, I'm fairly confident it's impossible. I sketched the matrix and I don't think there's any way to go from all 0s to all 1s or vice versa. I haven't spent a lot of time trying to solve it but that'd be my guess just looking at the math.

-You can toggle any of the switches.

-If you toggle a switch that isn't in the center you also toggle the center and the opposite switch.

-The center is conditional, if you toggle it while it's on it toggles one set of 4 switches and if you toggle it while it's off it toggles those four switches opposite switch.

Assuming my understand is correctly, I'm fairly confident it's impossible. I sketched the matrix and I don't think there's any way to go from all 0s to all 1s or vice versa. I haven't spent a lot of time trying to solve it but that'd be my guess just looking at the math.

"There are two kinds of old men in the world. The kind who didn't go to war and who say that they should have lived fast died young and left a handsome corpse and the old men who did go to war and who say that there is no such thing as a handsome corpse."

### Re: A very difficult puzzle

Yeah, you are right with the rules.

Last edited by Ephraim on August 9th, 2017, 9:35 am, edited 1 time in total.

The Great Library of WML is huge and extense. I must find the book who will lead me to create a perfect campaign.

**Future Project:****History of Vindalf**### Re: A very difficult puzzle

I puzzled over it for a bit and didn't come up with anything. Had a good time though.

as opposed to this:
right?

Also, it's not something silly like walking to a different side of the square so "left" is different, is it?

Just to be clear, "opposite" means this:Velensk wrote:-If you toggle a switch that isn't in the center you also toggle the center and the opposite switch.

Code: Select all

```
1 0 0
0 1 0
0 0 1
```

Code: Select all

```
0 0 1
0 1 0
0 0 1
```

Also, it's not something silly like walking to a different side of the square so "left" is different, is it?

The last few months have been nothing but one big, painful reminder that TIMTLTW.

Creator of Armory Mod, The Rising Underworld, and Voyage of a Drake: an RPG

Creator of Armory Mod, The Rising Underworld, and Voyage of a Drake: an RPG

### Re: A very difficult puzzle

Ohh I like this solution, very creative! Or maybe, you could just pick up the braziers and rearrange themSamonella wrote:Also, it's not something silly like walking to a different side of the square so "left" is different, is it?

If it's not something creative and "opposite" means the first matrix in Samonella's post, then it doesn't seem possible? Or I'm not interpreting it correctly?

Basically, the number of times you turn the center on should have the same parity as the number of times you turn it off, and the number of times you toggle each of the 4 opposite pairs should also have the same parity (opposite to the one above) so then there's an even total of operations but since every operation toggles the center there should be an odd number?

Screenshot playthroughs: Let's Play Dead Water, Let's Play Invasion from the Unknown and Let's Play After the Storm

### Re: A very difficult puzzle

Isn't there a feedback? If switching any brazier outside the center causes the center and the opposite one to switch on, then by the rules switching on the center (and it doesnt work only for the center, in fact if switching on any brazier causes the center and the opposite one to light on, well if we follow this logic it gets rather crazy) causes one side to light up, we can go further than that but the idea itself is silly.

So if we assume there is no feedback, which seems to be the only possible option, then, well if i understood it right then the sulution would be like this, surprisingly simple:

Did I get it right? This is a fun riddle

So if we assume there is no feedback, which seems to be the only possible option, then, well if i understood it right then the sulution would be like this, surprisingly simple:

Code: Select all

```
I turn on middle
111
011
001
I turn off middle
011
101
110
I activate top left one or bottom right one
111
111
111
```

### Re: A very difficult puzzle

ElderofZion wrote:I turn on middle

111

011

001

I think turning on the middle would actually be this?Ephraim wrote:- If you turn on the center one, it turns on the right line and the top center one too.

Code: Select all

```
0 1 1
0 1 1
0 0 1
```

Screenshot playthroughs: Let's Play Dead Water, Let's Play Invasion from the Unknown and Let's Play After the Storm

### Re: A very difficult puzzle

Yes, the top left brazier doesn't switch on, as Inky wrote. I have to say that... there isn't a solution. It can only be solved if the center brazier is turned on yet, at the start of the game.Inky wrote:ElderofZion wrote:I turn on middle

111

011

001I think turning on the middle would actually be this?Ephraim wrote:- If you turn on the center one, it turns on the right line and the top center one too.Code: Select all

`0 1 1 0 1 1 0 0 1`

But I want to make it difficult, because...

Code: Select all

```
0 0 0
0 1 0
0 0 0
I turn off the center brazier,
1 0 0
1 0 0
1 1 0
I turn on the center brazier.
1 1 1
1 1 1
1 1 1
```

What do you think about it?If you turn off the center brazier, the left column and the bottom center ones turn off too.

The Great Library of WML is huge and extense. I must find the book who will lead me to create a perfect campaign.

**Future Project:****History of Vindalf**### Re: A very difficult puzzle

As I told you in pm, with your original production rules
can be changed to 111111111. I just picked '000010000' for you as it has least already on.

I wrote nonrecursive DFS algorithm for this.

Code: Select all

```
{'101110010', '000001111', '011010110', '100100110', '000110111', '000101000', '
010100101', '001100011', '011110001', '111100000', '110110100', '110101011', '01
1101110', '101010101', '001000100', '111111111', '100011110', '111000111', '1001
11001', '011001001', '110001100', '010111010', '110010011', '001111100', '101001
010', '100000001', '010000010', '001011011', '010011101', '111011000', '00001000
0', '101101101'}
```

I wrote nonrecursive DFS algorithm for this.

### Re: A very difficult puzzle

As I said before, this code says that the center brazier must be alredy on, and it's too easy to solve, then.Ravana wrote:As I told you in pm, with your original production rulescan be changed to 111111111. I just picked '000010000' for you as it has least already on.Code: Select all

`{'101110010', '000001111', '011010110', '100100110', '000110111', '000101000', ' 010100101', '001100011', '011110001', '111100000', '110110100', '110101011', '01 1101110', '101010101', '001000100', '111111111', '100011110', '111000111', '1001 11001', '011001001', '110001100', '010111010', '110010011', '001111100', '101001 010', '100000001', '010000010', '001011011', '010011101', '111011000', '00001000 0', '101101101'}`

I wrote nonrecursive DFS algorithm for this.

The solution is turn off the center one, and then, turn on the center one too.

**Future Project:**

**History of Vindalf**

### Re: A very difficult puzzle

That covers 2 of these 32. There are 30 other states that lead to solution.

### Re: A very difficult puzzle

Well, I thought that by "the top center one" you mean top center line, though, now that I think about that it leads to feedback, but well, it seems that Ravana solved it.

### Re: A very difficult puzzle

I want to make this puzzle very difficult to solve, and that it hasn't got 32 possible answer. A puzzle that makes the person think a lot, but that has a solution. Someone knows how (changing the rules or something) make it more difficult?ElderofZion wrote:Well, I thought that by "the top center one" you mean top center line, though, now that I think about that it leads to feedback, but well, it seems that Ravana solved it.

**Future Project:**

**History of Vindalf**

### Re: A very difficult puzzle

If it is solvable, then by including symmetrical rule, you have infinite solutions by using that rule twice, however many times.

### Re: A very difficult puzzle

There are 32 starting configurations for which there exists a solution, not 32 different solutions for a given starting configuration.Ephraim wrote:I want to make this puzzle very difficult to solve, and that it hasn't got 32 possible answer.

Well, I liked my idea of rearranging the braziers yourselfEphraim wrote: I have to say that... there isn't a solution.

I think there is a simple way to figure out valid configurations for the original problem:

**math**

Screenshot playthroughs: Let's Play Dead Water, Let's Play Invasion from the Unknown and Let's Play After the Storm