SamuPiano here! This was such a pleasure to watch, as I am currently recovering from being ill. This was a great bright spot in my day! Your logical path was very sound, and it was amazing to see the joy you got from some of these discoveries - they very closely paralleled my own joy in setting this one. Many thanks to gdc for inspiring this puzzle with his "drawing-lines-in-the-fog" deductions, and sujoyku for encouraging me to continue when I thought I had reached a dead end! This puzzle would not have ever reached its final state without much assistance from each of them, and for them I am very grateful. Fun fact: The reason r5c5 is not included in the yin-yang shading is that this puzzle, even from the opening logic, violates the "third secret of yin-yang" (this one is much more obscure than the other two which Simon eloquently mentioned in this video, but ThePedallingPianist has a video about it on his UA-cam channel). As such, I was debating scratching this idea completely, but was convinced to continue due to how neat I thought the opening logic was. So again, thank you, Simon, for solving this! It was truly an honor and I loved watching you work your way through it!
Simon and Mark, a sincere thank you for not only providing entertaining videos but also educational. I decided to try this puzzle today - a rare occurrence as they're typically too advanced for me. However, with all I've learned from you guys over the past several months, I solved it! I did reference this video as I got stuck for a bit and couldn't ask "can these 4 digits in column 1 all be the same color?" Which was a huge turning point. From there it was *relatively* smooth. I think in the future I'll have a go at some more of these harder puzzles. Infinite thanks, wish you guys the best!
I tested this puzzle about 2 days before it was released and was completely blown away by what SamuPiano did there. Very clever how the counting rule allows you to predict what happens under the fog in an unexpected way. And great solve by Simon as always.
Thank you so much for testing this one, as well as giving some help on the aesthetics! I really appreciate all the assistance you have given me, not just with this puzzle but many others!
I got confused about the “along each line” part of the Pea Circles. I though you had to count the shaded cells on each of the attached lines, and add them up, but apparently each of the lines has to have the same amount of shaded cells. That should really have been described more clearly.
What a nice idea to invite the hunt winner to make a video with Simon. 😏👍👍👍 By the way, I can confirm that the *Duality II* sudoku hunt is awesome, although I have not finished it yet.
I thought when a circle had two lines going from it, the pea circle was the number of cells of the same shading on both lines. And I can't convince myself my interpretation is wrong. ie r3c4 has 5 cells on its lines of the same shading. Though I can see Simon's interpretation as well.
I interpreted it the same way and got stuck very early on because the circles in r3c4 and r4c2 had too many options and I couldn't see how long each line was under the fog.
I think there's a difference between saying "along each line directly connected to the circle" and "along all lines directly connected to the circle". Each line indicates you treat each line separately.
Truly an amazing puzzle. One way of starting it would have been knowing that n is congruent to S(n) modulo 9 (i.e., they have the same residue after dividing them by nine), where S(n) represents the sum of the digits of n. Now, let's take the green line in the box 1 and denote the sum of the digits along the line between the circles to be n. We know that S(n) has to be 8 (Simon explained it very well), therefore n is also congruent to 8 mod 9, i.e., all the digits together, except for the r3c3, sum to a number that is 8+8 mod 9 = 7. The whole box adds to 45 (which is divisible by 9), thus r3c3 is 2
68:01 with help from the video. I didn't even THINK that both bulbs on a line could be the same color and broke everything when I made r4c5 a 4. Still was a lot of work from there.
@56:00 Fairly easy to see the (1) line must end. If it continued to a 5th cell, then the 89 line would have to take (at least) 2 more blue cells in row 8.....isolating the orange above it.
@56:00 if both peas are the same color then I don't think there's any obvious limit on the maximum length of the line since the other color cells aren't counted.
Okay, some of the wording of the rules was not completely intuitive to me. I thought the "Pea Circles" rule applied to the sum of shaded cells in both directions of both directions of a circle that had lines going in multiple directions. So when we saw the second two circles after the 2 was placed, I thought one digit was a 1 and the other was *at least* a 3, not that it just was a 3.
I got stuck at the same point and you’re being polite. The pea circles rule as written is incoherent. You thought that the rule applied to both lines running away from a circle in both directions because that’s what the rule says. How Simon decided to interpret the rule as he did (1 and 3) just isn’t clear to me.
@@Ian_Hay "incoherent" is putting it a bit harshly. The rules as written are correct, and Simon interpreted them the way he should have. "Each" and "both", while sometimes similar, are not synonyms. "Each" refers to each member of a group individually. "Both" refers to two options as a whole. Here are two examples: "A circle indicates the number of cells along each line directly connected to the circle that are of the same shading as the circle" - This means that if the circle is a shaded 2, each individual line has 2 shaded cells in it. "A circle indicates the number of cells along both lines directly connected to the circle that are of the same shading as the circle" - This means that if the circle is a shaded 2, both lines together have a total of 2 shaded cells on them. I do agree that the rules could be rewritten slightly. Personally I'd change the first "each circle" to something else to avoid using the word "each" twice in a row (each circle...each line), and I'd add a quick example "e.g., if a circle contains a shaded 3, each line extending from that circle must contain 3 shaded cells, including the circle itself."
I was another victim of the hard-to-understand Pea Circles rule. Twice, in fact. First I thought it meant the circle counted the number of cells of its color which formed an uninterupted chain growing from itself (i.e., I thought "directly connected" referred to the colored cells, not the lines themselves). After eventually proving that was impossible to satisfy, I re-read the rules and came to the (also incorrect) "total cells of the circled color on all the lines coming from it" interpretation, as apparently did many others. I think this ruleset really needed an example diagram to clarify things.
Concatenation was a new word for me when you solved the first pea line puzzle and I’m a native English speaker. It’s not a word that comes up very often in conversation. I also think concatenation should be defined as the sound made by a cat sitting on an alley fence in an old cartoon just before someone throws a shoe at it.
If two lines on the same circle, does the number in the circle refer to the number of shaded cells on both lines together, or each of the lines separately?
1:17:08 "Way over the total"? it's just 1 below it, which would still fit, or am I missing some logic there? Edit: ok, it *doesn't* fit because of where the digits need to be, so not because of that exact explanation, just missing that 1 step at least in my head
I want to ask sonething about the giraffe puzzle: Unfortunately i missed yesterdays puzzles. Is that giraffe a ruleset that occured more often? because i dont seem to know it.
Sorry Simon and SamuPiano, but this is another example of what I’m sure is a good puzzle compromised by bad rule-writing. The Pea Circles rule is incoherent and ambiguously written. Simon proceeded with one interpretation of that rule, and solved it. But that wasn’t at all a clear application of that rule, and frankly not at all what the rule says. It’s just unsolvable without re-writing that rule.
Maybe it's better to remove the pen tool lines as soon as they are not needed anymore? Then we can all enjoy the beauty of the original setter's lines ;-)
Being in the same box, the 2 numbers must be different. The line, circles included, is 8 cells long, so the 2 numbers of shaded + unshaded counts must sum to 8. Simon didn't look at then next pair, 44, invalid because of 2 times the same number in the box. Then 53 and more are over 45, total for the box. 3+4 = 7 doesn't give a correct total of shaded + unshaded cells. Around 40:00, it can't be 11 once again because both circles are in the same box (not said, but "obvious", I guess...)
I thought it would be 34 as well as you couldn't connect 5 shades cells "directly" along the line to the circle, but that didn't work because the middle square could not get out. I think I found the rules to be unclear.
Normally in Yin-yang puzzles, you need to mark all cells. If the circles were the same colour, they'd be the same number. Once you establish they are different colours, they have to add to 8.
Ah, you're talking about when he goes over yesterday's puzzle at around 5:50, and rules 9 out of green. The Phistomefel theorem and its various versions (more generally, SET theory) says the digits in each set are equivalent, not just their totals. Since there's no 9 in purple, there's also no 9 in green.
You need another tool in your yin and yang puzzle solving: the two border cells next to a corner are always the same color. Just try creating a valid shading where at least one of these border set cells are different. :)
I suspect I've not understood what you meant, but are r1c2 and r2c1 not "two border cells next to a corner" and are they not different colours in this puzzle?
Simon: worries that "concatenation" might be too difficult
Also Simon 5 minutes later: "Let me cogitate a bit more..."
The first time Simon heard my shouting from the future.
SamuPiano here! This was such a pleasure to watch, as I am currently recovering from being ill. This was a great bright spot in my day!
Your logical path was very sound, and it was amazing to see the joy you got from some of these discoveries - they very closely paralleled my own joy in setting this one.
Many thanks to gdc for inspiring this puzzle with his "drawing-lines-in-the-fog" deductions, and sujoyku for encouraging me to continue when I thought I had reached a dead end! This puzzle would not have ever reached its final state without much assistance from each of them, and for them I am very grateful.
Fun fact: The reason r5c5 is not included in the yin-yang shading is that this puzzle, even from the opening logic, violates the "third secret of yin-yang" (this one is much more obscure than the other two which Simon eloquently mentioned in this video, but ThePedallingPianist has a video about it on his UA-cam channel). As such, I was debating scratching this idea completely, but was convinced to continue due to how neat I thought the opening logic was.
So again, thank you, Simon, for solving this! It was truly an honor and I loved watching you work your way through it!
"The THIRD Secret Of Yin Yang" (ThePedallingPianist): ua-cam.com/video/7SzXi9UcABs/v-deo.html
@@jonathanallan5007 thank you for linking it! For some reason, I was unsure of whether it was possible to link a video in a comment. I appreciate it!
Hope you are feeling better! Thanks for the puzzle. Great fun
@@SamuPiano088I've never been able to do so. Perhaps it is something that the channel can control.
Simon and Mark, a sincere thank you for not only providing entertaining videos but also educational. I decided to try this puzzle today - a rare occurrence as they're typically too advanced for me. However, with all I've learned from you guys over the past several months, I solved it! I did reference this video as I got stuck for a bit and couldn't ask "can these 4 digits in column 1 all be the same color?" Which was a huge turning point. From there it was *relatively* smooth. I think in the future I'll have a go at some more of these harder puzzles. Infinite thanks, wish you guys the best!
I tested this puzzle about 2 days before it was released and was completely blown away by what SamuPiano did there. Very clever how the counting rule allows you to predict what happens under the fog in an unexpected way. And great solve by Simon as always.
Thank you so much for testing this one, as well as giving some help on the aesthetics! I really appreciate all the assistance you have given me, not just with this puzzle but many others!
Thank you for the explanation of the exploded phisomafel from yesterday's puzzle. New to the channel and have become addicted to variant sudokus.
I got confused about the “along each line” part of the Pea Circles. I though you had to count the shaded cells on each of the attached lines, and add them up, but apparently each of the lines has to have the same amount of shaded cells. That should really have been described more clearly.
lol you should have done the puzzle mark did a day or two ago. It was this exact yin yang demonstation you always give.
9:17 This might be the first chocolate teapot in history that is actually useful :-) (or at least tasty...) Wonderful creation!
What a nice idea to invite the hunt winner to make a video with Simon. 😏👍👍👍
By the way, I can confirm that the *Duality II* sudoku hunt is awesome, although I have not finished it yet.
Three cheers for whoever wrote the instructions in the sudoku pad app. Very easy to read.
Sometimes I feel like you need a phd just to understand some of these rules
You pointing out logic from the comments and don't show signs of massive apologizing is a very good sign👍
Now where have I seen that shading pattern recently?
I thought when a circle had two lines going from it, the pea circle was the number of cells of the same shading on both lines. And I can't convince myself my interpretation is wrong. ie r3c4 has 5 cells on its lines of the same shading. Though I can see Simon's interpretation as well.
No , 2 times 3 😉
I interpreted it the same way and got stuck very early on because the circles in r3c4 and r4c2 had too many options and I couldn't see how long each line was under the fog.
I think there's a difference between saying "along each line directly connected to the circle" and "along all lines directly connected to the circle". Each line indicates you treat each line separately.
I have read it ten times and watched the video and I still don’t understand why the second set of circles is thirteen
Truly an amazing puzzle. One way of starting it would have been knowing that n is congruent to S(n) modulo 9 (i.e., they have the same residue after dividing them by nine), where S(n) represents the sum of the digits of n.
Now, let's take the green line in the box 1 and denote the sum of the digits along the line between the circles to be n. We know that S(n) has to be 8 (Simon explained it very well), therefore n is also congruent to 8 mod 9, i.e., all the digits together, except for the r3c3, sum to a number that is 8+8 mod 9 = 7. The whole box adds to 45 (which is divisible by 9), thus r3c3 is 2
Another great video!!!
Idon't think we've had a galaxy puzzle in a long time, I hope someone builds a great one!
Kind of surprising that Simon doesn't bring up the secrets of yin Yang until 27:22.
68:01 with help from the video. I didn't even THINK that both bulbs on a line could be the same color and broke everything when I made r4c5 a 4. Still was a lot of work from there.
Yay fog of war, can't wait to watch it.
This is surely the most absurdly complicated ruleset I have ever seen for any puzzle. Very bizarre.
@56:00 Fairly easy to see the (1) line must end. If it continued to a 5th cell, then the 89 line would have to take (at least) 2 more blue cells in row 8.....isolating the orange above it.
Rules: 09:32
Let's Get Cracking: 15:49
Simon's time: 1h11m13s
Puzzle Solved: 1:27:02
What about this video's Top Tier Simarkisms?!
Three In the Corner: 6x (21:06, 21:27, 21:42, 22:36, 1:15:34, 1:26:13)
The Secret: 4x (17:48, 17:56, 20:27, 27:28)
Chocolate Teapot: 2x (08:52, 09:01)
Phistomefel: 2x (02:02, 02:30)
Bobbins: 1x (23:18)
And how about this video's Simarkisms?!
Ah: 14x (18:30, 18:33, 23:56, 26:36, 27:07, 33:27, 39:42, 40:21, 40:21, 40:21, 41:04, 1:02:21, 1:03:36, 1:11:05)
Sorry: 11x (16:54, 18:36, 22:11, 32:37, 48:19, 58:12, 1:07:24, 1:13:04, 1:15:04, 1:22:55, 1:27:04)
By Sudoku: 10x (36:33, 36:36, 37:53, 40:06, 48:50, 1:05:14, 1:07:36, 1:08:08, 1:17:22, 1:19:54)
Hang On: 9x (25:59, 30:34, 33:27, 34:10, 42:53, 43:48, 1:01:39, 1:20:46, 1:23:59)
Checkerboard: 8x (27:33, 28:03, 29:35, 30:06, 30:13, 37:27, 46:04, 50:08)
Beautiful: 7x (04:49, 06:45, 24:02, 36:13, 36:16, 40:47, 1:02:28)
In Fact: 5x (48:40, 55:22, 1:03:15, 1:19:19, 1:22:00)
Shouting: 4x (06:40, 08:06, 08:40, 18:44)
Obviously: 4x (02:41, 11:26, 18:13, 18:29)
Wow: 4x (24:02, 1:02:28, 1:26:55, 1:27:08)
Cake!: 4x (08:08, 08:27, 08:30, 09:11)
Clever: 3x (41:17, 1:21:44, 1:27:20)
Naughty: 3x (45:05, 1:13:12, 1:15:20)
Lovely: 3x (49:52, 1:07:43, 1:25:09)
Pencil Mark/mark: 3x (50:54, 1:19:21, 1:23:02)
Good Grief: 2x (1:26:48)
Goodness: 2x (18:52, 1:26:57)
Brilliant: 2x (00:22, 1:21:41)
Bizarre: 2x (39:16, 39:19)
Magnificent: 2x (09:04, 1:27:16)
What Does This Mean?: 2x (42:28, 52:15)
Weird: 2x (30:15, 36:13)
What on Earth: 1x (59:26)
What a Puzzle: 1x (1:26:48)
In the Spotlight: 1x (1:26:16)
Deadly Pattern: 1x (1:26:33)
Surely: 1x (20:40)
Whoopsie: 1x (47:06)
We Can Do Better Than That: 1x (1:05:04)
Chromatic: 1x (03:47)
Symmetry: 1x (05:02)
Most popular number(>9), digit and colour this video:
Thirteen (15 mentions)
Two (91 mentions)
Blue (106 mentions)
Antithesis Battles:
High (2) - Low (2)
Even (3) - Odd (0)
Shaded (4) - Unshaded (3)
Higher (2) - Lower (0)
Outside (8) - Inside (0)
Column (13) - Row (7)
FAQ:
Q1: You missed something!
A1: That could very well be the case! Human speech can be hard to understand for computers like me! Point out the ones that I missed and maybe I'll learn!
Q2: Can you do this for another channel?
A2: I've been thinking about that and wrote some code to make that possible. Let me know which channel you think would be a good fit!
Nice bot, would love to chat about it
@56:00 if both peas are the same color then I don't think there's any obvious limit on the maximum length of the line since the other color cells aren't counted.
Okay, some of the wording of the rules was not completely intuitive to me. I thought the "Pea Circles" rule applied to the sum of shaded cells in both directions of both directions of a circle that had lines going in multiple directions. So when we saw the second two circles after the 2 was placed, I thought one digit was a 1 and the other was *at least* a 3, not that it just was a 3.
I got stuck at the same point and you’re being polite. The pea circles rule as written is incoherent. You thought that the rule applied to both lines running away from a circle in both directions because that’s what the rule says. How Simon decided to interpret the rule as he did (1 and 3) just isn’t clear to me.
@@Ian_Hay "incoherent" is putting it a bit harshly. The rules as written are correct, and Simon interpreted them the way he should have. "Each" and "both", while sometimes similar, are not synonyms. "Each" refers to each member of a group individually. "Both" refers to two options as a whole. Here are two examples:
"A circle indicates the number of cells along each line directly connected to the circle that are of the same shading as the circle" - This means that if the circle is a shaded 2, each individual line has 2 shaded cells in it.
"A circle indicates the number of cells along both lines directly connected to the circle that are of the same shading as the circle" - This means that if the circle is a shaded 2, both lines together have a total of 2 shaded cells on them.
I do agree that the rules could be rewritten slightly. Personally I'd change the first "each circle" to something else to avoid using the word "each" twice in a row (each circle...each line), and I'd add a quick example "e.g., if a circle contains a shaded 3, each line extending from that circle must contain 3 shaded cells, including the circle itself."
You've been missing a three in the corner, nice to hear.
I was another victim of the hard-to-understand Pea Circles rule. Twice, in fact. First I thought it meant the circle counted the number of cells of its color which formed an uninterupted chain growing from itself (i.e., I thought "directly connected" referred to the colored cells, not the lines themselves). After eventually proving that was impossible to satisfy, I re-read the rules and came to the (also incorrect) "total cells of the circled color on all the lines coming from it" interpretation, as apparently did many others. I think this ruleset really needed an example diagram to clarify things.
Concatenation was a new word for me when you solved the first pea line puzzle and I’m a native English speaker. It’s not a word that comes up very often in conversation.
I also think concatenation should be defined as the sound made by a cat sitting on an alley fence in an old cartoon just before someone throws a shoe at it.
I also only know this word from coding and have never heard it outside of coding/ctc
@@gabrielvieira4177 Yeah, not coding, but I'm familiar with it from Excel
It's a word that comes up a lot in computer programming and is the only context I'm familiar with it from.
38:44 for me. Always like the fog puzzles.
If that's true, then yellow is blue to avoid a two by two, woohoo
If two lines on the same circle, does the number in the circle refer to the number of shaded cells on both lines together, or each of the lines separately?
if this is a circle it's a 2. It's not a circle.........but it's a 2 anyway. neat! lol
Can I say as a teacher we now use tens and ones not units 😂 loved the video and great solve Simon 🙌
1:27:34 for me.
Sometimes these rulesets baffle me. Can someone explain how he knows the two circles in box 1 add up to 8 because there are 8 cells on the line?
1:17:08 "Way over the total"? it's just 1 below it, which would still fit, or am I missing some logic there?
Edit: ok, it *doesn't* fit because of where the digits need to be, so not because of that exact explanation, just missing that 1 step at least in my head
I want to ask sonething about the giraffe puzzle: Unfortunately i missed yesterdays puzzles. Is that giraffe a ruleset that occured more often? because i dont seem to know it.
It's not one I remember seeing featured on CtC before. I could believe the setter took it from another puzzle - but it's not a common rule set.
Sorry Simon and SamuPiano, but this is another example of what I’m sure is a good puzzle compromised by bad rule-writing. The Pea Circles rule is incoherent and ambiguously written. Simon proceeded with one interpretation of that rule, and solved it. But that wasn’t at all a clear application of that rule, and frankly not at all what the rule says. It’s just unsolvable without re-writing that rule.
Maybe it's better to remove the pen tool lines as soon as they are not needed anymore? Then we can all enjoy the beauty of the original setter's lines ;-)
49:44 for me. quite hard.
At 20min why 3 & 5, not 3 & 4 eg?
The two circles need to sum to the number of shaded cells --> 8
So
1&7
Or
2&6
Or
3&5
Being in the same box, the 2 numbers must be different. The line, circles included, is 8 cells long, so the 2 numbers of shaded + unshaded counts must sum to 8. Simon didn't look at then next pair, 44, invalid because of 2 times the same number in the box. Then 53 and more are over 45, total for the box. 3+4 = 7 doesn't give a correct total of shaded + unshaded cells. Around 40:00, it can't be 11 once again because both circles are in the same box (not said, but "obvious", I guess...)
I thought it would be 34 as well as you couldn't connect 5 shades cells "directly" along the line to the circle, but that didn't work because the middle square could not get out. I think I found the rules to be unclear.
Normally in Yin-yang puzzles, you need to mark all cells. If the circles were the same colour, they'd be the same number. Once you establish they are different colours, they have to add to 8.
I really enjoy watching the solves, but these puzzles coming out with 3 paragraphs of rules are getting out of hand....lol
how did you know there is no 9 in green? we only know the sums are the same.
Timestamp?
(I don't remember any green)
Ah, you're talking about when he goes over yesterday's puzzle at around 5:50, and rules 9 out of green. The Phistomefel theorem and its various versions (more generally, SET theory) says the digits in each set are equivalent, not just their totals. Since there's no 9 in purple, there's also no 9 in green.
Those thick green lines bother me more then they should after the fog has been cleared :(.
You need another tool in your yin and yang puzzle solving: the two border cells next to a corner are always the same color. Just try creating a valid shading where at least one of these border set cells are different. :)
I suspect I've not understood what you meant, but are r1c2 and r2c1 not "two border cells next to a corner" and are they not different colours in this puzzle?
"R5C5 is neither shaded nor unshaded" uhh if it's not shaded, then it is unshaded by definition.
Fog garbage. Video blocked.