Colouring puzzles are my favourite! And its lovely to see how you approach and explain things compared to Simon, the blend of both of your videos has helped me appreciate sudoku and its beauty on so many different levels.
Red blue and yellow and green, Revealing prime numbers unseen. The last thing I've done Where I had this much fun You would probably think was obscene.
I think this is likely the most complex puzzle I've solved yet, even though Mark buzzed through it. Some of the required logic and deductions were amazing and oh so fulfilling. Getting R4C4 might have been my most satisfying cell ever. Loved it!
"If this is green, it's 7 or 49" ... controversial point not to consider 343 as a possibility 🤣 Apart from getting briefly stuck when I forgot that the powers couldn't include 0 (ie, I was wondering whether we could have blue as 2×19 in box 6 and 19 in box 5) that I needed Mark's help to resolve, I'm happy to say that I battled through this one to the end, although I don't think it was as smooth as Mark's solve, and certainly not as quick! Very entertaining and clever puzzle 👍🏻
Finished in 29m48s. Mark beat me, even though he completely neglected a gimme digit in c9 of box 9 that would sped up the coloring process. That's how amazing he is... he's a buzzsaw once he breaks the puzzle.
Yes, realising that the 9 was forced into that cage in box 9, making it a 1+2+3+9=15 cage, felt like a much easier way to make progress in that corner!
22:17 A lovely idea, though the options tumble quickly but the construction was so well laid out to direct the right boxes to the right set of factors.
I finished in 105 minutes. I really liked the idea of this ruleset. It felt very nice to work out, even though at first, it seems too restrictive to work. However, it does work, and beautifully at that. I did make an error that wasted a lot of my time, nearly half of it just trying to search for any answer. I forgot that 11 wasn't a possibility for blue. For some reason, my brain said the lowest possible with multiples, even though I avoided this exact problem looking at the 45 clue's prime factors. Despite my error, this puzzle was a lot of fun. Great Puzzle!
Still off my game a bit, was able to finish this in 39:12 (conflict checker off) with a few helpful insights from Mark's solve, particularly the location of the 7 in box 4. Wonderful puzzle by Ul-Rhymm, many thanks to them!
I have never understood why people list solve times when they solved the puzzle using hints obtained elsewhere. To me, a solve time is only relevant when a puzzle is solved entirely by oneself.
I love all of your videos, Mark, but there are some where you are clearly enjoying yourself even more than usual. This was one of those - thanks for the video, it was very fun to watch. I can imagine that the puzzle itself is not tremendously hard, but it seems a bit out of my league. Maybe I'll give it a try sometime.
I couldn't agree more! With some of the recent puzzles I am just baffled by the entry and both of them not getting too fuzzed about the rule sets, which get more and more convoluted and creative 😳 Personally, I will stick to 4-6/10 difficulty killer, thermo and classic sudokus hahaha
The example implies a restriction that's not otherwise stated in the rules. Different colored cages can't have the same entire set of prime factors, but is it also the case that the prime factor sets can't even overlap?
This restriction is in the rules that Mark read and that are under the video (in the description field). I just checked the puzzle itself, the restriction is also in the rules on the puzzle. The last line. It's kind of expressed in terms of an example.
Agree that the rules are poorly written. Why is the sentence about other cages not having a 2 or 5 in its P.F. in the brackets? That is a completely new rule and not giving an example of the previous rule. Also it should be factorization singular.
Agreed! "All cages with the same color have sums whose prime factorizations contain the same set of prime factors" - that does not explicitly exclude two colours of cages from both sharing the same set, or of different sets of colours from having any overlap in their prime factors. That last line in the example needs to be made an actual part of the rule.
@@emilywilliams3237 "It's kind of expressed in terms of an example." Well yes, this is exactly my problem. :) An example is meant to clarify a previously stated rule, not introduce entirely new ones.
@@marpocky I hear you. But it is written there in the puzzle text, and to me that makes it a "rule" even if it is within an example. I don't expect perfection in technical writing (in English) from all of the constructors around the world, and I read all of the text, and also listen to the rules explained by Mark (or Simon) before starting the puzzle myself. So, to me, it was clear that it was a restriction, and not by implication, but by a statement within the "rules" of the puzzle.
When deciding the composition of box 3 I think Mark didn't consider the possibility of 7, 13 and 15 which wouldn't work cause they would leave 10 in the red cell, but I think he missed it as a possibility before ruling it out. Anyways great solve as always! It always amazes me watching Mark's brain at work
Enjoyed this one, thanks, an interesting challenge. I didn't understand the rules at the start as somehow I overlooked the possibility of prime numbers greater than 9.
A nice little sudoku math puzzle without number clues. I've always felt that numbers aren't good for math, just increases the chance of getting a wrong answer.
I understand your frustration but the key to getting better at these is perseverance. If you haven't already watched the video, give it another shot in a few days. It's definitely not a 30 minute puzzle for most of us. Just think of it as a challenging 55 minute puzzle that you're determined to beat. Even if it takes an extra hour. I've had puzzles that take me 4 days. "Never give up! Never surrender!" Just some occasional crying.
@@tessabrisac7423 You are 100% correct in your approach. I was describing my approach and the crying comment was more tongue in cheek. I also give up quickly sometimes. I enjoy watching Simon solve a puzzle I can't seem to get started. I also enjoy pushing myself hard to improve. To each his own.
@7:28 "...some of these have 3 as a factor." I don't see how the rules rule that out. As I see it, 45 allows: 3^1 x 5^1, = 15, 3^2 x 5^1 = 45, 3^1 x 5^2 etc....too big. So 45 ONLY rules out 15 and 45 for other colours. Meaning the blue cage could be anything from 36 to 44 (until other logic is used).
It's confusing because the last line of the example introduces a restriction that's not expressed before the bracketed example. The intention was that a prime factor that appears in one box colour cannot also appear in another box colour. So 3 and 5 can only appear as prime factors of red cages, in which both 3 and 5 have to appear in the prime factorisation at least once.
The rules say cages can't repeat digits, so a 9-cell cage is essentially equivalent to a sudoku box, row, or column. The delivery in this video wasn't optimal, so it's understandable that you might have missed it, but I wonder if in the other videos on the channel they might discuss some sort of property like that...
@@philtherealdeal2435 Yes. The rules are not very well explained. I only understood what was intended by looking at the example. It excluded 2 and 5 in the list of possible cage totals for the example "red" cages, so I took that to mean X and Y had to be non-zero. It wasn't adequately explained before the example though.
Colouring puzzles are my favourite! And its lovely to see how you approach and explain things compared to Simon, the blend of both of your videos has helped me appreciate sudoku and its beauty on so many different levels.
Mark you crack me up! “No no no, you’re right, THIS is the interesting cage.” I was literally just telling you to look at that cage!
Red blue and yellow and green,
Revealing prime numbers unseen.
The last thing I've done
Where I had this much fun
You would probably think was obscene.
Apart from other deductions, I love that leading to 7 in R3C1. 😮 Mark did it just so as if it was the simplest thing in the puzzle. Maestro!
I think this is likely the most complex puzzle I've solved yet, even though Mark buzzed through it. Some of the required logic and deductions were amazing and oh so fulfilling. Getting R4C4 might have been my most satisfying cell ever. Loved it!
This was beast mode Mark. Very impressive
"If this is green, it's 7 or 49" ... controversial point not to consider 343 as a possibility 🤣
Apart from getting briefly stuck when I forgot that the powers couldn't include 0 (ie, I was wondering whether we could have blue as 2×19 in box 6 and 19 in box 5) that I needed Mark's help to resolve, I'm happy to say that I battled through this one to the end, although I don't think it was as smooth as Mark's solve, and certainly not as quick! Very entertaining and clever puzzle 👍🏻
Finished in 29m48s. Mark beat me, even though he completely neglected a gimme digit in c9 of box 9 that would sped up the coloring process. That's how amazing he is... he's a buzzsaw once he breaks the puzzle.
Yes, realising that the 9 was forced into that cage in box 9, making it a 1+2+3+9=15 cage, felt like a much easier way to make progress in that corner!
I love coloring puzzles!! Thank you.
22:17
A lovely idea, though the options tumble quickly but the construction was so well laid out to direct the right boxes to the right set of factors.
I finished in 105 minutes. I really liked the idea of this ruleset. It felt very nice to work out, even though at first, it seems too restrictive to work. However, it does work, and beautifully at that. I did make an error that wasted a lot of my time, nearly half of it just trying to search for any answer. I forgot that 11 wasn't a possibility for blue. For some reason, my brain said the lowest possible with multiples, even though I avoided this exact problem looking at the 45 clue's prime factors. Despite my error, this puzzle was a lot of fun. Great Puzzle!
This is genius. Thoroughly enjoyed it
Still off my game a bit, was able to finish this in 39:12 (conflict checker off) with a few helpful insights from Mark's solve, particularly the location of the 7 in box 4. Wonderful puzzle by Ul-Rhymm, many thanks to them!
I have never understood why people list solve times when they solved the puzzle using hints obtained elsewhere. To me, a solve time is only relevant when a puzzle is solved entirely by oneself.
I've never understood why people post their solve times, waving their d**ks in the air, at all. Nobody cares.
Very exciting puzzle.
Finished in 37:58. Interesting ruleset which seems like it limits a lot of possibilities.
Fun puzzle!
I've always enjoyed prime factors. This was an interesting use of them.
What an incredible puzzle and smooth solve. Thanks!
I love all of your videos, Mark, but there are some where you are clearly enjoying yourself even more than usual. This was one of those - thanks for the video, it was very fun to watch. I can imagine that the puzzle itself is not tremendously hard, but it seems a bit out of my league. Maybe I'll give it a try sometime.
I couldn't agree more!
With some of the recent puzzles I am just baffled by the entry and both of them not getting too fuzzed about the rule sets, which get more and more convoluted and creative 😳
Personally, I will stick to 4-6/10 difficulty killer, thermo and classic sudokus hahaha
25:52 for me. What an amazing puzzle, absolutely fantastic!
The example implies a restriction that's not otherwise stated in the rules. Different colored cages can't have the same entire set of prime factors, but is it also the case that the prime factor sets can't even overlap?
This restriction is in the rules that Mark read and that are under the video (in the description field). I just checked the puzzle itself, the restriction is also in the rules on the puzzle. The last line. It's kind of expressed in terms of an example.
Agree that the rules are poorly written. Why is the sentence about other cages not having a 2 or 5 in its P.F. in the brackets? That is a completely new rule and not giving an example of the previous rule. Also it should be factorization singular.
Agreed! "All cages with the same color have sums whose prime factorizations contain the same set of prime factors" - that does not explicitly exclude two colours of cages from both sharing the same set, or of different sets of colours from having any overlap in their prime factors. That last line in the example needs to be made an actual part of the rule.
@@emilywilliams3237 "It's kind of expressed in terms of an example." Well yes, this is exactly my problem. :) An example is meant to clarify a previously stated rule, not introduce entirely new ones.
@@marpocky I hear you. But it is written there in the puzzle text, and to me that makes it a "rule" even if it is within an example. I don't expect perfection in technical writing (in English) from all of the constructors around the world, and I read all of the text, and also listen to the rules explained by Mark (or Simon) before starting the puzzle myself. So, to me, it was clear that it was a restriction, and not by implication, but by a statement within the "rules" of the puzzle.
Great puzzle, and great solve! 👏👏
When deciding the composition of box 3 I think Mark didn't consider the possibility of 7, 13 and 15 which wouldn't work cause they would leave 10 in the red cell, but I think he missed it as a possibility before ruling it out. Anyways great solve as always! It always amazes me watching Mark's brain at work
Lovely puzzle, lovely solve! Too much maths for me to try it myself, but Mark's explanations were helpful
56:37 - Once I’d got my head around the factors it worked really nicely.
Enjoyed this one, thanks, an interesting challenge. I didn't understand the rules at the start as somehow I overlooked the possibility of prime numbers greater than 9.
Great puzzle, so many clever things to see all the way through the solve
58:16 really unique puzzle with lots of interesting logic steps
Nice puzzle, nice solve.
A nice little sudoku math puzzle without number clues. I've always felt that numbers aren't good for math, just increases the chance of getting a wrong answer.
A stupendous puzzle
So 43 is the largest prime factor possible for this variant. Looks like there is room for many more like this.
01:27:44
26:28 Not 2/5, but not because of uniqueness, but because it would force both the 2 and the 5 into the bottom right corner at the same time, right?
70:17 for me
slow but happy to finish it
I thought "colouring in, and only 30 min video, I'll try this one!". I tried. I quickly gave up.
Mark is just too good. He sees stuff in a few seconds that takes me a few minutes.
I understand your frustration but the key to getting better at these is perseverance. If you haven't already watched the video, give it another shot in a few days. It's definitely not a 30 minute puzzle for most of us. Just think of it as a challenging 55 minute puzzle that you're determined to beat. Even if it takes an extra hour. I've had puzzles that take me 4 days. "Never give up! Never surrender!" Just some occasional crying.
I've stared at this thing for 10 minutes with no progress. Pass
@@grantfraser5430 but why should I want to cry on a puzzle? I for one am certainly not as competitive as that, If I can’t enjoy it, I just let it be!
@@tessabrisac7423 You are 100% correct in your approach. I was describing my approach and the crying comment was more tongue in cheek. I also give up quickly sometimes. I enjoy watching Simon solve a puzzle I can't seem to get started. I also enjoy pushing myself hard to improve. To each his own.
Looks like this was one of the puzzles Mark really liked... And he forgot to press the little heart at the end 💔 😅
I had to skip this one.... couldn't wrap my head around the rule set.
@13:47 can't box 1 still be 7, 15, 22 w/ remainder 1?
Update, it can't because it's touching the 45 cage.
@7:28 "...some of these have 3 as a factor." I don't see how the rules rule that out.
As I see it, 45 allows: 3^1 x 5^1, = 15, 3^2 x 5^1 = 45, 3^1 x 5^2 etc....too big. So 45 ONLY rules out 15 and 45 for other colours.
Meaning the blue cage could be anything from 36 to 44 (until other logic is used).
Cages of different colors can't share any factors. So, the red "15 or 45" cage rules out anything divisible by either 3 or 5.
It's confusing because the last line of the example introduces a restriction that's not expressed before the bracketed example. The intention was that a prime factor that appears in one box colour cannot also appear in another box colour. So 3 and 5 can only appear as prime factors of red cages, in which both 3 and 5 have to appear in the prime factorisation at least once.
I'm so pleased you don't do the annoying sing-song for the three in the corner! 👍🏽☺️
4:52 Now, how on Earth did Mark know that cage added up to 45 just because he knew it was 9 cells long???
It's a secret :)
The rules say cages can't repeat digits, so a 9-cell cage is essentially equivalent to a sudoku box, row, or column. The delivery in this video wasn't optimal, so it's understandable that you might have missed it, but I wonder if in the other videos on the channel they might discuss some sort of property like that...
You’re kidding, right?
Lol on the cap joke :)
32:47 for me.
see its about maths, factors and primes and know its not one for me to try
This puzzle is mad lol.
But in a good way.
Out of my ability tho.
Couldn't blue possibly have been 11?
Since 2 and 11 are in the prime factorisation of 44 in the cage in box 6, both 2 and 11 have to appear in the prime factorisation of any blue cage.
I still think the rules are a tad confusing. As per the formula stated in the rules, (2^0)*(11^1) = 11. Should have stated bounds of X & Y
@@philtherealdeal2435 Yes. The rules are not very well explained. I only understood what was intended by looking at the example. It excluded 2 and 5 in the list of possible cage totals for the example "red" cages, so I took that to mean X and Y had to be non-zero. It wasn't adequately explained before the example though.
Least favorite rule set to date. But still enjoyable to watch.