Yesss, I recommended this puzzle several weeks back (I'm not the author) because the logic was so stunning when I solved it. So glad it's getting a well-deserved place in the spotlight :)
Mark never noticed the roping in the middle rows or right columns. I found that to help with the 96 cage somewhat. Specifically, if 678 is in row 6 cols 456, then there is roping, which limits the values in col 6 rows 4,5. The only ways to avoid roping though use up at least 3 degrees of freedom.
This was a very hard puzzle. It was not hard to understand the point of it, but it was so hard in the execution. I paused the video a few times to see if I could detect anything that you were not seeing during the coming up with the numbers that had to be in the 96 galaxy, and I could not get my head around it at all, not even to the degree that you were - and I jotted some things down and you kept it in your head, Mark. Marvelous!
Mark eventually got around to it with his conclusion 55 minutes in, but there's a 2nd path: if you maximize purple in box 4 (R4C12 is a 12 pair), that puts a 2 in purple in box 5, which eats all of the degrees of freedom in purple. If you avoid a 2 in purple in box 5 (2 would be in R4C56), that forces a 2 into purple in box 4, which eats all of the degrees of freedom. You cannot avoid a 2 in both, therefor there are zero degrees of freedom in purple outside of boxes 4 and 5.
At 12:33 when Mark concludes that the 96 galaxy must extend north and south out of the center, it doesn't look like he has earned that conclusion because it could extend into north and south into r5c3 and r7c5 instead.
He didn't really touch on it in his explanation but that would strand the 21 galaxy in box 4 in a single cell since it couldn't extend north or west without running into the 96 galaxy on the south or east.
@@taylorsherry4784 Well I know it was ultimately the correct answer, I just think he lucked into it there. I do not think he considered and ruled out other possibilities but didn't mention them out loud; I think he was fooled by his half color shading into assuming that a certain cell was unavailable when it was still available (by his current logic, even if not in the finished puzzle).
I finished in 119 minutes. That was a tough finish. Surprisingly, I got the big octopus looking piece pretty early. I really struggled near the end deciding on those two cages in the top left. I had a hard time proving them one way or another. The rest was enjoyable, but that part took me a long time to see. Great Puzzle! Edit: I just realized after watching the video, that I completely forgot to use the congruent rule on the non-marked galaxies. That must have been why it was so hard.
I got a little confused about the mention of size, but it got resolved during the solve. I guess that 2 "I"-pentominoes of size 3 and 5 could be seen as having the same shape.
That was a brutal mid-section. Felt like the first part flowed well, and once you spot that breakthrough in the middle it flows well after that. It’s all about looking at the right thing to be able to progress. Well done, Mark.
Did Marc rule out the possibility around 1:07 for the yellow 21 shape to be just 4 straight lines. I think he just argued, that if the shape extends to the right, that then the 1 needs to be in the shape on the left. But I think he didn't consider the case of the shape not extending to the right or left. But great solve nevertheless. Nice that Marc started picking up the harder puzzles. :)
I think when he rules out the yellow being a straigh line of four cells because there's no way of making up the total of 21 with the digits pencilmarked there
No, he has had several longer than this - but not a huge number. There is a catalogue of videos on the channel that you can sort, etc., to find out interesting statistics - it is listed under the video in the description field.
had the most incredible of drain-farts ever. i was counting the 27 galaxy in the bottom and my logic was box8 has 3 squares so that is 3 and I need 24 more. Amazing what my brain could produce.
6:43 Why is it obvious that that 30 galaxy on the far right can't extend into row 7? There is no rule stating that all cells touching a circle has to belong to the galaxy, only that the circle is at the center. So the 19 galaxy could be e.g. R6C8, R7C8, R8C9, R9C9, no?
Personal Time: 1h39m41s Spoilers: Incredible puzzle, it's a shame it took me this long because I did find those degrees of freedom within the first 25 minutes... it just took me an hour extra to spot the sum of the middle boxes 😅
Rules: 02:04 Let's Get Cracking: 04:31 What about this video's Top Tier Simarkisms?! Three In the Corner: 4x (58:37, 58:48, 1:02:23) The Secret: 1x (28:09) And how about this video's Simarkisms?! Ah: 11x (04:39, 17:10, 17:27, 20:58, 38:48, 52:20, 56:18, 57:43, 1:02:37, 1:03:00, 1:05:50) Goodness: 7x (18:18, 35:09, 37:52, 41:34, 1:03:09, 1:04:46, 1:18:19) Symmetry: 7x (02:28, 02:54, 04:09, 04:59, 09:08, 17:42, 1:07:05) Obviously: 5x (07:32, 10:11, 16:49, 30:24, 1:07:45) Wow: 5x (33:30, 46:48, 53:35, 57:37, 1:09:08) Bother: 4x (13:00, 13:04, 55:56, 1:13:39) By Sudoku: 4x (25:05, 58:26, 1:01:16, 1:01:46) In Fact: 4x (05:42, 08:00, 27:42, 52:49) Progress: 4x (45:54, 46:01, 1:01:26, 1:04:59) Weird: 3x (50:23, 1:00:33, 1:08:13) Sorry: 2x (08:25, 27:06) Brilliant: 2x (01:16, 1:18:19) Irritating: 2x (36:56, 1:12:18) Good Grief: 1x (44:18) Useless: 1x (05:05) Touch Itself: 1x (17:10) Fascinating: 1x (00:16) First Digit: 1x (12:46) Hang On: 1x (42:45) Intriguing: 1x (1:02:00) Pencil Mark/mark: 1x (1:13:35) Uniqueness: 1x (1:01:12) Most popular number(>9), digit, colour and box this video: Twenty One (33 mentions) One (94 mentions) Purple (29 mentions) Box 8 (2 mentions) Antithesis Battles: High (3) - Low (1) Even (9) - Odd (0) Outside (3) - Inside (0) Black (4) - White (0) Row (21) - Column (12) 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!
Normally a fan of galaxy puzzles but the fact that all galaxy centers are not given gave a bit of sour taste for me. It probably doesn't take anything away from the challenge but it felt a little uncomplete and not very harmonic. I.e. box 7 where you can just make a bunch of different galaxies
Hi all,
I can’t believe I got featured! Thanks for playing:) I’m glad this one gave Mark a run for his money
Yesss, I recommended this puzzle several weeks back (I'm not the author) because the logic was so stunning when I solved it. So glad it's getting a well-deserved place in the spotlight :)
Thank you so much for recommending the puzzle! This is a dream come true:)
@@yanggang-x9r Glad to hear it! It took me nearly two hours to complete, but I absolutely loved it. How cool you got to see it on CtC!
I don't think I've ever seen Mark so happy to solve a puzzle before.
I love that at the 55 minute mark, "there's a start" is said.
Mark never noticed the roping in the middle rows or right columns. I found that to help with the 96 cage somewhat. Specifically, if 678 is in row 6 cols 456, then there is roping, which limits the values in col 6 rows 4,5. The only ways to avoid roping though use up at least 3 degrees of freedom.
This was a very hard puzzle. It was not hard to understand the point of it, but it was so hard in the execution. I paused the video a few times to see if I could detect anything that you were not seeing during the coming up with the numbers that had to be in the 96 galaxy, and I could not get my head around it at all, not even to the degree that you were - and I jotted some things down and you kept it in your head, Mark. Marvelous!
Mark eventually got around to it with his conclusion 55 minutes in, but there's a 2nd path: if you maximize purple in box 4 (R4C12 is a 12 pair), that puts a 2 in purple in box 5, which eats all of the degrees of freedom in purple. If you avoid a 2 in purple in box 5 (2 would be in R4C56), that forces a 2 into purple in box 4, which eats all of the degrees of freedom. You cannot avoid a 2 in both, therefor there are zero degrees of freedom in purple outside of boxes 4 and 5.
Way to persevere Mark! That was a very difficult puzzle.
At 12:33 when Mark concludes that the 96 galaxy must extend north and south out of the center, it doesn't look like he has earned that conclusion because it could extend into north and south into r5c3 and r7c5 instead.
He didn't really touch on it in his explanation but that would strand the 21 galaxy in box 4 in a single cell since it couldn't extend north or west without running into the 96 galaxy on the south or east.
@@taylorsherry4784 Well I know it was ultimately the correct answer, I just think he lucked into it there. I do not think he considered and ruled out other possibilities but didn't mention them out loud; I think he was fooled by his half color shading into assuming that a certain cell was unavailable when it was still available (by his current logic, even if not in the finished puzzle).
I finished in 119 minutes. That was a tough finish. Surprisingly, I got the big octopus looking piece pretty early. I really struggled near the end deciding on those two cages in the top left. I had a hard time proving them one way or another. The rest was enjoyable, but that part took me a long time to see. Great Puzzle!
Edit: I just realized after watching the video, that I completely forgot to use the congruent rule on the non-marked galaxies. That must have been why it was so hard.
54:06 I felt his joy.
Didn’t we all! Best moment of the video by a long way. 🤣
54:17 for me. Very tough one, but incredibly fun!!
I got a little confused about the mention of size, but it got resolved during the solve. I guess that 2 "I"-pentominoes of size 3 and 5 could be seen as having the same shape.
That was a brutal mid-section. Felt like the first part flowed well, and once you spot that breakthrough in the middle it flows well after that. It’s all about looking at the right thing to be able to progress. Well done, Mark.
"Not all galaxy centers are necessarily given" ahhhh, that sentence should glow and be on triple the font size. Oh well.
I keep thinking someone is vacuum cleaning in the background.
I had great problems because of the second single 9, but perhaps I missundestood the rule. Nevertheless a great and wonderful puzzle.
Did Marc rule out the possibility around 1:07 for the yellow 21 shape to be just 4 straight lines. I think he just argued, that if the shape extends to the right, that then the 1 needs to be in the shape on the left. But I think he didn't consider the case of the shape not extending to the right or left.
But great solve nevertheless. Nice that Marc started picking up the harder puzzles. :)
I think when he rules out the yellow being a straigh line of four cells because there's no way of making up the total of 21 with the digits pencilmarked there
Uh mark w 70min??? Is this the rarest one??
No, he has had several longer than this - but not a huge number. There is a catalogue of videos on the channel that you can sort, etc., to find out interesting statistics - it is listed under the video in the description field.
@@emilywilliams3237 can that be done thru the utube app or only browser?
had the most incredible of drain-farts ever. i was counting the 27 galaxy in the bottom and my logic was box8 has 3 squares so that is 3 and I need 24 more. Amazing what my brain could produce.
6:43 Why is it obvious that that 30 galaxy on the far right can't extend into row 7? There is no rule stating that all cells touching a circle has to belong to the galaxy, only that the circle is at the center. So the 19 galaxy could be e.g. R6C8, R7C8, R8C9, R9C9, no?
The galaxies have to be orthogonally connected, meaning they must share an edge. In your scenario, they would only share a corner.
When u end up with 2 soln cuz u didn't see the 2 congruent galaxies adjacent
62:17 for me
Maybe you should change coolant on your CPU?
Turning off the automatic gain on the microphone might also work.
Solved in 34:04 struggled with how to fit galaxies in box 1
In the 1st and 7th cage, can't that be a 4 celled L instead of 1-2-1?
It wouldn't be rotationally symmetric
That would break the galaxy symmetry
Personal Time: 1h39m41s
Spoilers:
Incredible puzzle, it's a shame it took me this long because I did find those degrees of freedom within the first 25 minutes... it just took me an hour extra to spot the sum of the middle boxes 😅
What a grinder of a puzzle…nothing easy about it. My head is hurting, but I did solve, only took me 2+ hours 🙄
Looked interesting and had a spare hour near day’s end so I started watching. Sadly, the fan noise was too annoying.
Me after finally finding a breakthrough 54:06
It's mildly interesting that Mark sees a plus sign as an 'x'.
It's the standard name for the pentomino of that shape. They're all known by letters, although some of them require a bit of fantasy :)
That's just the name of that pentomino configuration.
Rules: 02:04
Let's Get Cracking: 04:31
What about this video's Top Tier Simarkisms?!
Three In the Corner: 4x (58:37, 58:48, 1:02:23)
The Secret: 1x (28:09)
And how about this video's Simarkisms?!
Ah: 11x (04:39, 17:10, 17:27, 20:58, 38:48, 52:20, 56:18, 57:43, 1:02:37, 1:03:00, 1:05:50)
Goodness: 7x (18:18, 35:09, 37:52, 41:34, 1:03:09, 1:04:46, 1:18:19)
Symmetry: 7x (02:28, 02:54, 04:09, 04:59, 09:08, 17:42, 1:07:05)
Obviously: 5x (07:32, 10:11, 16:49, 30:24, 1:07:45)
Wow: 5x (33:30, 46:48, 53:35, 57:37, 1:09:08)
Bother: 4x (13:00, 13:04, 55:56, 1:13:39)
By Sudoku: 4x (25:05, 58:26, 1:01:16, 1:01:46)
In Fact: 4x (05:42, 08:00, 27:42, 52:49)
Progress: 4x (45:54, 46:01, 1:01:26, 1:04:59)
Weird: 3x (50:23, 1:00:33, 1:08:13)
Sorry: 2x (08:25, 27:06)
Brilliant: 2x (01:16, 1:18:19)
Irritating: 2x (36:56, 1:12:18)
Good Grief: 1x (44:18)
Useless: 1x (05:05)
Touch Itself: 1x (17:10)
Fascinating: 1x (00:16)
First Digit: 1x (12:46)
Hang On: 1x (42:45)
Intriguing: 1x (1:02:00)
Pencil Mark/mark: 1x (1:13:35)
Uniqueness: 1x (1:01:12)
Most popular number(>9), digit, colour and box this video:
Twenty One (33 mentions)
One (94 mentions)
Purple (29 mentions)
Box 8 (2 mentions)
Antithesis Battles:
High (3) - Low (1)
Even (9) - Odd (0)
Outside (3) - Inside (0)
Black (4) - White (0)
Row (21) - Column (12)
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!
12:07
Normally a fan of galaxy puzzles but the fact that all galaxy centers are not given gave a bit of sour taste for me. It probably doesn't take anything away from the challenge but it felt a little uncomplete and not very harmonic. I.e. box 7 where you can just make a bunch of different galaxies
wdym? because there is only one way due to the congruency rule
You can't though, there's the rule about congruent galaxies touching which disambiguates it.