No question about it, the Knightmare rule is a very difficult one to scan for, and even to remember to apply within a box. I think you did fantastic to make so few errors in your solve, Mark. I actually tried the puzzle for a little bit before watching the video and got a glimmer of what had to be going on with the 5-cages and the 15-cages - but then gave up in favor of watching your video. Thanks so much, and continued congratulations on the 600,000 subscribers. You and Simon are so deserving, you are both so brilliant and so charming, and have created a lovely community.
Thank you Mark!!! What a pleasure to see this video. Your logic was excellent, and somehow you deduced the 1234/6789 combos on the outer white dots WAY faster than I had ever noticed myself during testing. I had been working on another puzzle many months ago, and I spotted a very interesting pattern that I put aside to explore. When I came back to it, I was able to place the 5/15 cages fairly easily, but placing the Kropki dots proved to be a significant challenge, I'd say I went through at least 50 iterations - but once I got this down, I knew it was a good puzzle! Congrats on the 600K milestone, and apologies for the error in the other puzzle. Glad we got that resolved 😶
Are you implying the logic on the outer dots was incomplete or had a gap? Isn't 23 possible on the white dots in C5 and 78 a possibility on white dots in R5
@@ruckmanikrishnan4221Mark's logic was sound, if that's what you're asking. Since all the digits in the row/column apart from 5 appear on white dots, the 1 has to appear in a white dot, and its only partner can be 2. Similarly with 9 having to partner 8. That leaves only 4 that can partner 3 and only 6 that can partner 7. So the pairs are forced to be (12),(34),(67),(89). You cannot put either (12) or (34) on a white dot in a box with a 5 cage, since both rule out the two options for making 5 (1+4 or 2+3). Similarly with the high digits and the 15 cages.
Thank you for not giving up‼ As I pointed out in a separate comment, this is a *cosmic-class* construction. By the way, it was fascinating and surprising that Mark was able to *elegantly* rule out repeated digits along the symmetry-breaker (i.e. the chain of black dots) without using the knightmare constraint.
@@RichSmith77 late in the night missed his sentence on the 4 white dots which is what I had used to solve it... Re heard the solve... Cheers! And thanks for pointing it out!
This is a *cosmic-class* construction. I am sure it will be featured in the next *CTC Cosmic Hits* book. It has everything you need to be appreciated by aliens. Innovative, intriguing, fairly challenging, never trivial, and gorgeously quasi-symmetric with minimal symmetry breaker. 👏👏👏👏👏👏👏 It has already been viewed by *trillions* of people in my galaxy, notwithstanding the sloppy automatic translation into *SIG-TEL* (Standard Inter-Galactic Telepathic Language). Many *augmented people* with triple hearth and brain hit both the whole-three-hearthedly and whole-three-mindedly recommended buttons: ❤🧡💜 ➕ 🧠🧠🧠 Thank you *HalfBakedLunatic* for constructing it. Thank you *Mark* for featuring it and brilliantly solving it.
By the way, it was fascinating and surprising that Mark was able to elegantly rule out repeated digits along the symmetry breaker (i.e. the chain of black dots) without using the knightmare constraint.
Wow, @Paolo_De_Leva ... thank you for the great feedback! I'll need to get the SIG-TEL translation implant next time I'm over at your side of the galaxy.
@@Paolo_De_Leva funny thing was, most of the iterations needed some cage in the center box to disambiguate the puzzle down to a single solution. I guess I had left the 25 cage from a prior layout, and didn't realize it wasn't needed until I watched the video where Mark completely ignored it 😅
@@HalfBakedLunatic Interesting. Actually, I believe I ignored it as well, but did not notice the redundancy. Anyway, I am 100% sure that your artwork was optimized well enough to fully deserve inclusion in *CTC Cosmic Hits.* It looked perfect to me. 😏👍👍👍 I would press triple like if *RUclips* allowed me. Maybe I will create a playlist with all *human-designed* puzzles that are considered Cosmic Hits by our *Galactic Sudoku Federation.* 😏
I have just finished the sudoku (after having to backtrack 2 times because I accidentally eliminated digit as if this was antiknight father than knightmare sufoku) and just realized that I also completely ignored the 25 cage after reading this comment. Whoops. It wasn't necessary anyway, and I'm not sure if it would have sped up thinks much.
The way I ended up solving this was to write the letters "ABCD" for 1234 and "EFGH" for 6789, which was a technique used to solve a sudoku on this channel several years ago. Its effectively solving all the symmetric variants of the puzzle simultaneously , until that symmetry is broken by the black kropki dots at the end of the solve. I think my first proper digit was the 5 in box 8, but it was about halfway through the solve instead of near the beginning.
I did something similar, except I used the letters AB for the 5-pairs and CD for the 15 pairs, then added either 1 or 2 to each letter to signify high/low parity in the pairs. So I'd end up with A1, A2, B1, B2 for my lows and C1, C2, D1, D2 for the highs, but it made it easier to me to scan for and differentiate between the two different kinds of parities.
I finished in 44 minutes. This was such a cool ruleset with fantastic geometry. I really liked the break-in involving the lines of kropki dots combined with the black dots that forced a 2 into r6c5. It didn't feel that difficult to scan compared to other rulesets that I have done. It felt quite nice. Great Puzzle!
Fascinating design domino play w a/anti knights constraints. Interesting without the given 5 there seems to be soln with 7-center....jostling of the whitdots was fun.
I maintain that anyone who creates knightmare puzzles is evil incarnate ... they are the most brutally hard puzzles to scan, many times worse than disjoint subsets.
Highly symmetrical grid (except the black dots which disambiguates everything) and no surprisingly the digits are symmetrical as well (even 90 degrees rotational symmetry works).
57:58 very cool puzzle, only got stuck once but found a labeling method that continued the puzzle. scanning for the knightmare constraint isn't too hard if you use one color for each of 14, 23, 69, 78, and 5 (by itself).
Wow... this one frustrated the beejeezus out of me! I got into it ok, but after very little headway, kept getting stuck. Remembering the killer cage in the middle sure would have helped! Anyway, 46 minutes on my 4th attempt.
14:10 I'll admit that I found this puzzle rather grizzly. I also await with bated breath for an unwarranted assumption about R7C3 to bite him in the BEEhind. 15:40 I'm glad he found his mistake early, although I would have had a certain amount of Schadenfreude had the puzzle crashed. But no biting this time. 38:20 I see a knightmare move violation in R6C3 and R8C4. I don't remember when it happened.
I am surprised that Mark categorized this puzzle as a 'toughie' when he solves so many puzzles that require the solver to do complicated maths while keeping track of multiple things happening in different parts of the grid etc. I happened to find this reasonable once one starts at the black dot and applies the knights move. Again Mark was super quick in finding his typo error of 2/3
Okay, here's something off-the-subject: I was wondering about that "can not" being one word sometimes ("cannot"). But, then I looked at "a 'knights move' apart..." (^^that's a "knight's move" possessive apostrophe/accent mark) So, if you're ever wondering if you should use the accent marks, or quote marks; There should be 3 accent marks/apostrophes there. ('Knight's move') I'll stand by "Knight's move," because 'knight's move' is confusing. (3 apostrophes) That's all, lol. (Oh, why not "cannot"? That's really "all." Carry on 😅
That's a good catch. I think it should be one word, "cannot". If you say "can not" that just means there's a possibility that it might not. So to say digits a knight's move apart can not sum to 5 or 15 really just means that it's possible they don't add to 5 or 15, which would be a pretty meaningless restriction. It's like the difference between saying "I cannot answer your question" and "I can not answer your question". The former means I am unable to, the latter means I can choose not to.
@@RichSmith77 Yeah, I think it should be "cannot" too. I don't know why. I guess I see what you're saying, though. "Cannot" is absolute, you're right. That's how it should be. (That's how it's always been) I got some other things I'm struggling with; The period/full-stop, I've lately been putting inside the quote marks. (Commas, too) Because, I've been looking in books lately (well, a couple of times) to see how these commas and periods are written. I think a period/full-stop inside the quote, serves as both the end of that quote and the end of the sentence. [Fixed "'inside' the quote"] I'm confused now. You may have noticed, I put the commas and periods inside the quote marks up there ^^ (in my OC/OP). It's difficult, but a written book has them inside (Steven King included). I think it should be "cannot" also, though. It's not quite the same thing as "maybe" and "may be." ^^Those I separate and mean it a certain way. Like: "Maybe that's the answer." And: "The answer it may be." (^^ examples, lol) 😅 OH, I think it should be "cannot" also though..
@@HalfBakedLunatic Definitely very tricky, and the Knightmare rule just turned my brain to mush. My brain kept wanting to do normal antiknight and to do 5-cage logic on the white dots. I was able to follow along to the video easily enough, but just could not get that break in for myself. It's strange. Sometimes (rarely, but sometimes) my solves are quicker than Mark's and Simon's, and other times, I can't see the break-in no matter how much time I spend. Good puzzle, though, even if it did short-circuit my brain.
@@nomore6167 I never ever have been faster than neither Mark nor Simon. So I take a certain delight in that I managed to solve the puzzle (though with liberal use of the check button and it took me almost 2 hours) while someone who's obviously a lot better than me gave up after 90 minutes. I think it was a wonderfully weird puzzle.
14:23, welp, I put in 40 minutes trying this puzzle and gave up and am watching the video and I didn't think about the black dots a single time during my entire attempt. EDIT: and that logic was undone a minute later. 🤣
@MarkBennet10001 that title "Knightmare" sounds familiar. I think I've seen it here before. That could be why Mark didn't use that cage you mentioned, he probably wanted to make it harder. (Or was dared to do it without it) I think I've seen that title before, though. You're not mistaken ;) 😅
@@MarkBennet10001 "...without using the 25 cage..." Oops. Quietly raises hand in shame. To be fair, it only became useful in the final stages of my solve. Not sure it would have knocked much off my time. 😂
@24:31 Mark: "Now, do I know how those two go?" Yes, Mark. You mentioning those two 15 cages had to be different. (Because, you can't squeeze both digits into r3c3) So, that's a 78 pair in there. Now, r5c3 is 69 (with a 78 on the other side). But, that "8" in box7 sees that 7 in box5. So, they're 98 across that dot. The "9" now can't have a 6 a knight's move away in that 69 cage in box7. Oh, and 67 on the other dot in row5. Yes, you know, Mark. Look in the back of your brain, lol. (kidding ) Mark knows, though.. 😅
As noted by someone earlier, Mark made a logical error at around 14:00, removing an 8 pencilmark from R7C3 without justification. Does anyone have the correct logic from this point of the solve? Edit: ah, he spotted the error soon after 😅
1:52:55 for me (Anyone worse than me?). Man, it took me some doing to find my way through this one. And I am eternally glad that you can check your progress along the way with the check button, as I did a couple of mistakes, but only had to back up 2 or 3 steps at a time to find what I missed in the logic and could get it sorted. Otherwise, I many times have just started over from the beginning when I break a puzzle as I have no clue where I went off the rails, and that means a puzzle like this could easily have taken me several days to solve even if I would have made it in the end. But what a wonderfully weird puzzle, and I am really proud that I managed to get it solved even though skilled solvers will considering me a cheater for my use of the check button. But while on the subject, to those that are intimidated by puzzles being difficult. Do it like I do, liberally check your progress during the solve so you find out quite fast when you made an error and can check up on what logic you missed. It's an excellent way of learning how to deal with the harder puzzles.
94:12 for me. Like others, I used ABDC for the low digits and EFGH for the highs, but I spent sooooo long trying to work out the logic to populate the grid with letters, some clever tricks but a lot of brute force to see conflicts. Once I fully populated the grid with letters the black kropki dots blew the whole thing open and I solved it about a minute later.
I don't think Mark's a numpty when the Goodliffing of cells goes bad. (Not just the 12 placed in r3c5 instead of 34, he also placed a 3 into r7c4 earlier instead of a six.) I think the rules of the puzzle are so tightly packed together it's easy to confuse them. So many 5 and 15 cages in combination with the knights' move. Having the black kropki's next to the whites.
So proud to have solved this without help - over a period of many days. My aging brain is not as sharp as it used to be. Often tempted to end my frustration by turning to the video but resisted and plugged on. Insights sometimes came after laying the puzzle aside for a while.
Rare that I'm much quicker than Mark but did this in 23:26 by colouring the 15 & 5 cages to start with. Then concentrated on the knights move restriction and normal Sudoku logic to fill most of the grid. I found all the 5's that way before anything else. By the time I'd ran through the black dot possibilities, the colouring gave the 8 in box 7 and it was not far off from filling all of each digits cells in one go using the colouring. Also never even needed the 25 cage clue. The colouring filled that in for me.
The pairs on the white dots in column 5 (and row 5) have to be (12),(34),(67),(89). This is because the 1 can only partner 2; and 9 can only partner 8. If r6c5 was yellow it would mean both digits on the white dot were yellow, indicating they sum to 5. But neither (12) nor (34) sum to 5.
The red/yellow pairs are 1-4 and 2-3, but the white dots are 1-2 and 3-4. You can notice how those pairs are always from different sets, so the dots will always be a red/yellow pair.
No question about it, the Knightmare rule is a very difficult one to scan for, and even to remember to apply within a box. I think you did fantastic to make so few errors in your solve, Mark. I actually tried the puzzle for a little bit before watching the video and got a glimmer of what had to be going on with the 5-cages and the 15-cages - but then gave up in favor of watching your video. Thanks so much, and continued congratulations on the 600,000 subscribers. You and Simon are so deserving, you are both so brilliant and so charming, and have created a lovely community.
Thank you Mark!!! What a pleasure to see this video. Your logic was excellent, and somehow you deduced the 1234/6789 combos on the outer white dots WAY faster than I had ever noticed myself during testing. I had been working on another puzzle many months ago, and I spotted a very interesting pattern that I put aside to explore. When I came back to it, I was able to place the 5/15 cages fairly easily, but placing the Kropki dots proved to be a significant challenge, I'd say I went through at least 50 iterations - but once I got this down, I knew it was a good puzzle! Congrats on the 600K milestone, and apologies for the error in the other puzzle. Glad we got that resolved 😶
Are you implying the logic on the outer dots was incomplete or had a gap?
Isn't 23 possible on the white dots in C5 and 78 a possibility on white dots in R5
@@ruckmanikrishnan4221Mark's logic was sound, if that's what you're asking. Since all the digits in the row/column apart from 5 appear on white dots, the 1 has to appear in a white dot, and its only partner can be 2. Similarly with 9 having to partner 8. That leaves only 4 that can partner 3 and only 6 that can partner 7. So the pairs are forced to be (12),(34),(67),(89).
You cannot put either (12) or (34) on a white dot in a box with a 5 cage, since both rule out the two options for making 5 (1+4 or 2+3).
Similarly with the high digits and the 15 cages.
Thank you for not giving up‼ As I pointed out in a separate comment, this is a *cosmic-class* construction.
By the way, it was fascinating and surprising that Mark was able to *elegantly* rule out repeated digits along the symmetry-breaker (i.e. the chain of black dots) without using the knightmare constraint.
@@RichSmith77 late in the night missed his sentence on the 4 white dots which is what I had used to solve it... Re heard the solve... Cheers! And thanks for pointing it out!
13:49 why can't R7C3 be 8?
No reason at all, as Mark will discover at some point. He actually did discover it a couple minutes later.
And this quite nice way to think if it could be a low digit at all.
@@iuriikononenko9238If only he'd spotted it led to a contradiction at 15:07 (4 in r6c5 seeing 1 in r8c4 by the knight's move).
This is a *cosmic-class* construction. I am sure it will be featured in the next *CTC Cosmic Hits* book. It has everything you need to be appreciated by aliens. Innovative, intriguing, fairly challenging, never trivial, and gorgeously quasi-symmetric with minimal symmetry breaker. 👏👏👏👏👏👏👏
It has already been viewed by *trillions* of people in my galaxy, notwithstanding the sloppy automatic translation into *SIG-TEL* (Standard Inter-Galactic Telepathic Language).
Many *augmented people* with triple hearth and brain hit both the whole-three-hearthedly and whole-three-mindedly recommended buttons: ❤🧡💜 ➕ 🧠🧠🧠
Thank you *HalfBakedLunatic* for constructing it.
Thank you *Mark* for featuring it and brilliantly solving it.
By the way, it was fascinating and surprising that Mark was able to elegantly rule out repeated digits along the symmetry breaker (i.e. the chain of black dots) without using the knightmare constraint.
Wow, @Paolo_De_Leva ... thank you for the great feedback! I'll need to get the SIG-TEL translation implant next time I'm over at your side of the galaxy.
@@HalfBakedLunatic You deserve it. Thank you again for iterating 50 times to build this beauty.
@@Paolo_De_Leva funny thing was, most of the iterations needed some cage in the center box to disambiguate the puzzle down to a single solution. I guess I had left the 25 cage from a prior layout, and didn't realize it wasn't needed until I watched the video where Mark completely ignored it 😅
@@HalfBakedLunatic Interesting. Actually, I believe I ignored it as well, but did not notice the redundancy.
Anyway, I am 100% sure that your artwork was optimized well enough to fully deserve inclusion in *CTC Cosmic Hits.*
It looked perfect to me. 😏👍👍👍
I would press triple like if *RUclips* allowed me.
Maybe I will create a playlist with all *human-designed* puzzles that are considered Cosmic Hits by our *Galactic Sudoku Federation.* 😏
Was anybody else staring at the Killer cage in box five for a long time thinking, the last figure is a 3. And then Mark resolved it a different way
Finally! A ruleset that makes Mark entirely forget to do not only pure sudoku half the time, but also killer in central cage :-D
I have just finished the sudoku (after having to backtrack 2 times because I accidentally eliminated digit as if this was antiknight father than knightmare sufoku) and just realized that I also completely ignored the 25 cage after reading this comment. Whoops.
It wasn't necessary anyway, and I'm not sure if it would have sped up thinks much.
He must have been having a bad day or something to miss that 25 cage in the middle for so long.
I spend almost 45 min here and it was worth it. The logic is amazing. Thanks for the puzzle and the solve! 🤗🤓
The way I ended up solving this was to write the letters "ABCD" for 1234 and "EFGH" for 6789, which was a technique used to solve a sudoku on this channel several years ago. Its effectively solving all the symmetric variants of the puzzle simultaneously , until that symmetry is broken by the black kropki dots at the end of the solve. I think my first proper digit was the 5 in box 8, but it was about halfway through the solve instead of near the beginning.
I did something similar, except I used the letters AB for the 5-pairs and CD for the 15 pairs, then added either 1 or 2 to each letter to signify high/low parity in the pairs. So I'd end up with A1, A2, B1, B2 for my lows and C1, C2, D1, D2 for the highs, but it made it easier to me to scan for and differentiate between the two different kinds of parities.
I finished in 44 minutes. This was such a cool ruleset with fantastic geometry. I really liked the break-in involving the lines of kropki dots combined with the black dots that forced a 2 into r6c5. It didn't feel that difficult to scan compared to other rulesets that I have done. It felt quite nice. Great Puzzle!
Fascinating design domino play w a/anti knights constraints.
Interesting without the given 5 there seems to be soln with 7-center....jostling of the whitdots was fun.
I maintain that anyone who creates knightmare puzzles is evil incarnate ... they are the most brutally hard puzzles to scan, many times worse than disjoint subsets.
Took me about 90 minutes, but I'm glad to have finished it somehow.
Close to 2 hours for me.
1:39:14 Crumbs - I found that really difficult Time to watch Mark show me where I went wrong!
But you were still 13-14 minutes better than me.
Highly symmetrical grid (except the black dots which disambiguates everything) and no surprisingly the digits are symmetrical as well (even 90 degrees rotational symmetry works).
57:58 very cool puzzle, only got stuck once but found a labeling method that continued the puzzle. scanning for the knightmare constraint isn't too hard if you use one color for each of 14, 23, 69, 78, and 5 (by itself).
24:08 for me. Nice puzzle!
Wow... this one frustrated the beejeezus out of me! I got into it ok, but after very little headway, kept getting stuck. Remembering the killer cage in the middle sure would have helped! Anyway, 46 minutes on my 4th attempt.
14:10 I'll admit that I found this puzzle rather grizzly. I also await with bated breath for an unwarranted assumption about R7C3 to bite him in the BEEhind.
15:40 I'm glad he found his mistake early, although I would have had a certain amount of Schadenfreude had the puzzle crashed. But no biting this time.
38:20 I see a knightmare move violation in R6C3 and R8C4. I don't remember when it happened.
Presumably a knightmare is a type of horse used gallant warriors 🤔
Challenging but loads of fun.
Didnt even use the 25 cage
R7C3 and R8C4 cannot be the same due to the knight's move constraint. Admittedly, that's about all I spotted!
I am surprised that Mark categorized this puzzle as a 'toughie' when he solves so many puzzles that require the solver to do complicated maths while keeping track of multiple things happening in different parts of the grid etc. I happened to find this reasonable once one starts at the black dot and applies the knights move. Again Mark was super quick in finding his typo error of 2/3
Great puzzle.
Okay, here's something off-the-subject:
I was wondering about that "can not" being one word sometimes ("cannot").
But, then I looked at "a 'knights move' apart..."
(^^that's a "knight's move" possessive apostrophe/accent mark)
So, if you're ever wondering if you should use the accent marks, or quote marks;
There should be 3 accent marks/apostrophes there.
('Knight's move')
I'll stand by "Knight's move," because 'knight's move' is confusing.
(3 apostrophes)
That's all, lol.
(Oh, why not "cannot"?
That's really "all."
Carry on 😅
OH, in the rules, I'm talking about.
That's a good catch. I think it should be one word, "cannot". If you say "can not" that just means there's a possibility that it might not. So to say digits a knight's move apart can not sum to 5 or 15 really just means that it's possible they don't add to 5 or 15, which would be a pretty meaningless restriction.
It's like the difference between saying "I cannot answer your question" and "I can not answer your question". The former means I am unable to, the latter means I can choose not to.
@@RichSmith77 Yeah, I think it should be "cannot" too.
I don't know why.
I guess I see what you're saying, though.
"Cannot" is absolute, you're right.
That's how it should be.
(That's how it's always been)
I got some other things I'm struggling with;
The period/full-stop, I've lately been putting inside the quote marks.
(Commas, too)
Because, I've been looking in books lately (well, a couple of times) to see how these commas and periods are written.
I think a period/full-stop inside the quote, serves as both the end of that quote and the end of the sentence.
[Fixed "'inside' the quote"]
I'm confused now.
You may have noticed, I put the commas and periods inside the quote marks up there ^^ (in my OC/OP).
It's difficult, but a written book has them inside (Steven King included).
I think it should be "cannot" also, though.
It's not quite the same thing as "maybe" and "may be."
^^Those I separate and mean it a certain way.
Like:
"Maybe that's the answer."
And:
"The answer it may be."
(^^ examples, lol)
😅
OH, I think it should be "cannot" also though..
@@RichSmith77 Hey, Richard (Rich now), it's a little late for me to be worried about writing, but I wanna get it right, lol. 😮😆
Fought with it for 90 minutes, placed zero digits (didn't even come close), and gave up. It's not worth wasting more time and getting more frustrated.
I'm sorry for the frustrations! It is a tricky solution path!
@@HalfBakedLunatic Definitely very tricky, and the Knightmare rule just turned my brain to mush. My brain kept wanting to do normal antiknight and to do 5-cage logic on the white dots. I was able to follow along to the video easily enough, but just could not get that break in for myself.
It's strange. Sometimes (rarely, but sometimes) my solves are quicker than Mark's and Simon's, and other times, I can't see the break-in no matter how much time I spend.
Good puzzle, though, even if it did short-circuit my brain.
@@nomore6167 I never ever have been faster than neither Mark nor Simon. So I take a certain delight in that I managed to solve the puzzle (though with liberal use of the check button and it took me almost 2 hours) while someone who's obviously a lot better than me gave up after 90 minutes.
I think it was a wonderfully weird puzzle.
Darn it, I went round in circles for 15 minutes missing the last of the interactions that finished off the last few boxes.
14:23, welp, I put in 40 minutes trying this puzzle and gave up and am watching the video and I didn't think about the black dots a single time during my entire attempt.
EDIT: and that logic was undone a minute later.
🤣
@21:30, that digit must be in that box. It must be in EVERY box of a sudoku. That's the rules.
(yes, yes, he meant to say "cage")
This was indeed a toughie! My time today was 44:47, solver number 3633.
@14:11 that was not beautiful. It was a numpty conclusion.
49.50 for me. I think I lost about ten minutes forgetting about the knight rule. Oh boy. Lol.
I am absolutely sure I once solved this puzzle, but I can't find it. I remember the intricacy ...
Seems not, bad memory - but to see Mark solve it without using the 25 cage - a classic "foolish" solve .
@MarkBennet10001 that title "Knightmare" sounds familiar.
I think I've seen it here before.
That could be why Mark didn't use that cage you mentioned, he probably wanted to make it harder.
(Or was dared to do it without it)
I think I've seen that title before, though.
You're not mistaken ;) 😅
@@MarkBennet10001oh, maybe not.
The title is longer in the video.
"Knightmare" alone, has been done before though.
So, you're not mistaken there.
@@MarkBennet10001 "...without using the 25 cage..."
Oops. Quietly raises hand in shame. To be fair, it only became useful in the final stages of my solve. Not sure it would have knocked much off my time. 😂
@@RichSmith77 I totally forgot about it, maybe my 113 minutes solve could have been shaved down to under a 100, or even 90 minutes.
The 1 in box 5 saw a 4 position that you never Noticed . As saw the 1 in box 6 a 4 in box 2😮
Where exactly can I try the Juggler puzzle with the giant number clue?
It's in the puzzle pack in the latest Patreon post! There's a link in this video's description, in the "600k Celebration pack" section.
@@thejuggler42 Thanks! Will check it out!
25:44 for me.
nice
39 minutes
77
Cool
oooh I am early I hope this is a good puzzle :D
This one was painful to watch!
Nice video! I think the 3 in the central cage was available by the cagesum rule starting at 28:30. Would have probably made the solve a bit quicker.
Yes! It was quite interesting seeing him go the long way around from there 😅
at 13:43, how do you know the 1248 has to be red (not 8)?
8:03 R7C4 "I admit it can't be 3", and instead of pencil marking a 6, Mark puts a 3 instead.
Did that affect the solve? Doesn't look like it.
It didn't
@24:31
Mark: "Now, do I know how those two go?"
Yes, Mark.
You mentioning those two 15 cages had to be different.
(Because, you can't squeeze both digits into r3c3)
So, that's a 78 pair in there.
Now, r5c3 is 69 (with a 78 on the other side).
But, that "8" in box7 sees that 7 in box5.
So, they're 98 across that dot.
The "9" now can't have a 6 a knight's move away in that 69 cage in box7.
Oh, and 67 on the other dot in row5.
Yes, you know, Mark.
Look in the back of your brain, lol.
(kidding )
Mark knows, though.. 😅
As noted by someone earlier, Mark made a logical error at around 14:00, removing an 8 pencilmark from R7C3 without justification. Does anyone have the correct logic from this point of the solve?
Edit: ah, he spotted the error soon after 😅
1:52:55 for me (Anyone worse than me?).
Man, it took me some doing to find my way through this one. And I am eternally glad that you can check your progress along the way with the check button, as I did a couple of mistakes, but only had to back up 2 or 3 steps at a time to find what I missed in the logic and could get it sorted. Otherwise, I many times have just started over from the beginning when I break a puzzle as I have no clue where I went off the rails, and that means a puzzle like this could easily have taken me several days to solve even if I would have made it in the end.
But what a wonderfully weird puzzle, and I am really proud that I managed to get it solved even though skilled solvers will considering me a cheater for my use of the check button. But while on the subject, to those that are intimidated by puzzles being difficult. Do it like I do, liberally check your progress during the solve so you find out quite fast when you made an error and can check up on what logic you missed. It's an excellent way of learning how to deal with the harder puzzles.
Cool little puzzle. That sneaky knightmare was lurking in some unexpected places...
completed, tricky rule set but very rewarding to finish. Love working on a CTC approved puzzle!
if u rotate the grid by 180° All overlapping numbers add up to 5,10 or 15
if u rotate the grid 3 times by 90° all overlapping numbers add up to 20
94:12 for me. Like others, I used ABDC for the low digits and EFGH for the highs, but I spent sooooo long trying to work out the logic to populate the grid with letters, some clever tricks but a lot of brute force to see conflicts. Once I fully populated the grid with letters the black kropki dots blew the whole thing open and I solved it about a minute later.
I don't think Mark's a numpty when the Goodliffing of cells goes bad. (Not just the 12 placed in r3c5 instead of 34, he also placed a 3 into r7c4 earlier instead of a six.) I think the rules of the puzzle are so tightly packed together it's easy to confuse them. So many 5 and 15 cages in combination with the knights' move. Having the black kropki's next to the whites.
So proud to have solved this without help - over a period of many days. My aging brain is not as sharp as it used to be. Often tempted to end my frustration by turning to the video but resisted and plugged on. Insights sometimes came after laying the puzzle aside for a while.
Knighty McKnightface was not sending his knightly vibes this time, it seems. Great puzzle!
Rare that I'm much quicker than Mark but did this in 23:26 by colouring the 15 & 5 cages to start with. Then concentrated on the knights move restriction and normal Sudoku logic to fill most of the grid. I found all the 5's that way before anything else. By the time I'd ran through the black dot possibilities, the colouring gave the 8 in box 7 and it was not far off from filling all of each digits cells in one go using the colouring. Also never even needed the 25 cage clue. The colouring filled that in for me.
Finished in 56:22. Challenging ruleset which really stretches the brain.
Fun puzzle!
Watching you on Countdown rn ✌️
18:11 mark says R6C5 IS red, but why? couldn't it be yellow?
The pairs on the white dots in column 5 (and row 5) have to be (12),(34),(67),(89). This is because the 1 can only partner 2; and 9 can only partner 8.
If r6c5 was yellow it would mean both digits on the white dot were yellow, indicating they sum to 5. But neither (12) nor (34) sum to 5.
The red/yellow pairs are 1-4 and 2-3, but the white dots are 1-2 and 3-4. You can notice how those pairs are always from different sets, so the dots will always be a red/yellow pair.
@@RichSmith77 Thanks, makes sense but was a logic step resolved a bit far from this one, so I forgot that limitation I guess
Hi everyone
Took me over an hour and now my brain hurts.
Hard puzzle. I gave up and just watched. So I can’t blame Mark for the fact that he never used the 25 cage in box 5-the three got ignored for a while.
Yeah, as soon as he placed the 7 in the cage he could have placed the 3, and the rest would have fallen into place much quicker!
Finished in 30:49 by following along with the video.
46:03
Scanning for the Knightmare was so hard, but a clever constraint with a beautiful logic to the break-in.
You are the best Mark.
At 16:20, why does R6C5 have to be red? Why can't they both be yellow - i.e. a 2-3 sequence?
I was wondering the same before I noticed that a 23 pair in r6c5 and r7c5 would force a 14 pair in r3c5 and r4c5, which do not obey the kropki dot.