17:00 Simon notices that the math of "45 - 5x" but never gets to the point of using it again after he gets the 5-cage to get the value of the dot "45 - 5 = 5x". It's a classic Simon-move, getting some really nice logic in and then finding some other even more complicated logic to find a solution.
This is definitely one of those shouting at the screen moments. Simon was too focused on the middle six cell sum to notice the forced mathematical solution imposed by the first and last cages of the chain. In fact, you don't even need row 7. X=9 is ruled out by box 3 breaking the bank and then X=6 or 7 are both ruled out by the small cage in box 1 needing to be less than X.
He could have immediately applied it on realising the blue domino is a multiple of 5. Clearly it had to be smaller than the dot (because blue equals dot), so 5 was the only valid option. which immediately leads to the dot being 8.
That commenter who solved it in front of the in-laws was me!! I often solve puzzles around there. They're lovely, but I like to solve puzzles in gaps in the conversation
Simon: I'm going to mark this domino with two dots so I don't forget that these two cells add up to the same as two dots. Simon plus 5 seconds: can a dot be 24?
19:00 Wouldn't it be much quicker to say since we just figured out the domino cage is 45 - [5*dot] and has a sum of 5, dot = (45 - 5) / 5 = 8 by algebra?
We gathered to watch and eat donuts. There were none! I thought I would go nuts! What we did instead Was eat nanner bread And call Scojo's grid on your show nuts. True story.
I determined the dot by setting up an equation based on the first 3 boxes: x = difference between cages y = value of r3c1 n = 45 n + (n - x) + (n - 2x) + (n - 5x) = 3n - 2x - y 4n - 8x = 3n -2x - y n = 6x - y n + y = 6x (n + y) / 6 = x The only way this works with sudoku digits and accounting for the maximum value of x indicated by the interaction of r7c8 and r7c9 is if y is 3 and x is 8.
You can achieve something similar by enabling the killer calculator in Settings. Then if you select a cage without a total, it will list all possible totals and fills, and you can select the total you want over on the right side of the calculator. It will then remember the chosen total each time you select that particular cage.
@@David_K_Booth the ability to add multiple choices of cage sums for blank cages, and maybe outline an arbitrary area and give it a "cage sum" if you've figured one out, might be helpful in some cases.
I finished in 49 minutes. I started at the bottom and noticed that box 9 had to show the single cage as being very low to keep the 5 cage in box 8 at minimum. This led me to 7 or 8 as my x. I played with that for a bit, then noticed the top as being much better to look. From there, box 2 row 1 showed me the entire line had to be 7 or 8, which lead to box 1 row 3 being the same. It went pretty straightforward from there. I really enjoyed this puzzle. It had some nice geometry and tested my mental math skills. Great Puzzle!
“21 is only just possible, and that’s three eights”???? I struggle with these puzzles, and when Simon is thinking out loud like this I feel really dumb!
I got all the way to where Simon is at 34:50 and then I got stuck and had to check the video, calculating the value of the three squares outside the cages in box 6 never crossed my mind.
I'm so lucky not to have in-laws. I would have ashamed myself totally by making a rookie mistake and not being able to recover from it without starting over.
how i would have started: blue is a dot and has a minimum value of 6. there’s 2 1 cell cages in box 9 separated by a dot, thus, the dot value is between 6 and 8
Simon made a bit of a meal of the opening chain. The first cage is 45, the second 45-x, the third 45-2x, all forced. Then the 4th is either 45-x or 45-3x, and the 5th cage is either 45, 45-2x or 45-4x, but since x is from 678, the 5th cage has to be 45-4x. Then finally the domino has to be 45-5x... And then since 45-5x < x because of the roping, x > 7.5 so x has to be 8.
The whole business with 15 at the end is far simpler than Simon made it; there has to be a 7 by sudoku inside the 15, so the other two have to sum to 8 but can't cant be 17 and also can't be 26 because of the 6s in R5&6, so it has to be 357 which is immediately resolved
Rules: 02:55 Let's Get Cracking: 04:08 What about this video's Top Tier Simarkisms?! The Secret: 5x (04:30, 04:36, 04:50, 22:01, 31:54) Three In the Corner: 1x (21:02) And how about this video's Simarkisms?! Hang On: 9x (10:16, 11:44, 12:47, 13:52, 13:52, 17:17, 17:17, 17:17, 18:40) Lovely: 5x (17:25, 28:00, 30:09, 37:15, 37:15) Sorry: 4x (09:13, 12:51, 21:31, 23:26) Ah: 4x (19:12, 26:45, 29:48, 33:55) Beautiful: 3x (00:58, 36:28, 36:38) By Sudoku: 3x (05:25, 30:32, 35:40) In Fact: 3x (03:52, 05:00, 21:20) Stuck: 2x (01:16, 02:40) Extraordinary: 2x (00:19, 01:51) Ridiculous: 2x (01:45, 01:45) Surely: 2x (12:57, 22:14) Obviously: 2x (02:25, 07:36) Pencil Mark/mark: 2x (19:59, 34:26) Bother: 1x (26:19) The Answer is: 1x (26:26) Nonsense: 1x (34:22) Clever: 1x (17:49) Naughty: 1x (33:58) Our old Friend Sudoku: 1x (26:39) Intriguing: 1x (00:59) Plonk: 1x (33:08) That's Huge: 1x (19:42) Thingy Thing: 1x (24:20) Unique: 1x (02:07) Most popular number(>9), digit and colour this video: Fifteen (20 mentions) Eight (57 mentions) Blue (9 mentions) Antithesis Battles: Low (2) - High (1) Even (4) - Odd (0) White (6) - Black (0) Column (8) - 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!
The 1:1:5 cage size ratios aren't required to limit x to 678, infact i didn't look at this til much later. I started entirely on the roping; as soon as you realise the two uncaged cells in B3 sum to 2x, you know x is at most 8, while B2 says x is at least 6...
@ 8:48 - "I suppose the maximum value of the dot is 24" - Have you looked at R7? The maximum difference between two single digits is 8. If you chase the sequence from the 45 to the 2-cell cage in box 1, the minimum value of the dot is 8 too. @ 18:35 - "So how do we do this then?" - It's simple: 45 - 5 = 5*X, so X=8. @23:42 - "9 is now in one of those two squares" - use your eyes - there's a 79 pair looking at one of them, and you know there's roping, so you could have pencil-marked 7s and 9s into yellows, and you could place them both in box 1. @ 34:58 - "I can knock 8 out of this" - You can do better. The 31 cage includes either 4 or 5, but not both. The other goes in R5C9, so it must be 5. @ 35:18 - "If there's no 7 here" - of course there's a 7 - by sudoku you could have pencil-marked 7 in there ages ago. I lost count of the sudoku fails in this. It's not outrageous that you're expected to do sudoku in a sudoku puzzle. What is outrageous is your insistence on not doing it unless forced.
Since others have already pointed out the easy way of deriving the dot from 45 - (5*dot) = 5, I'll instead point out that once you know there cannot be a positive increase in one step along the five dot chain, then you also know there cannot be a positive increase *anywhere* along the five dot chain, since obviously 45-x-x+x-x-x is the same as 45-x-x-x+x-x, which is the same as 45-x-x-x-x+x
Wow, you could find X as well by only looking at rows 7, 8 and 9 (or at least I did, not noticing anything from the first 3 rows). The sequence of cages 1:1:5 indicates that the minimum value of X is (of 5:1) 15-9=6 and the maximum (of 1:1) 9-1=8. Then the 1:4 sequence along with the 1:1:5 is actually max-pressed: It's hard for me to explain in the short time I have, but you can tell how in the solved grid: r7c3+r7c8 is max and box8 -(r9c4+r9c6) is minimum.
I think Simon's assumption of adding to "5" was lucky. Yes 5 is forced, but he said it has to be a multiple of 5 and therefore the cage adds to 5 and he know it is 5. Not true yet. It is 5 steps down and a multiple of 5. That's all we know. So it could step down 5*6 = 30, and then the two cell cage is 15. It could step down 5*7=35, and the two cell cage is 10, and finally it could step down 5*8=40, and the two cell cage is 5. There are correct ways to get there. I don't think this was one of them.
Nice puzzle. I had the X value fairly quickly, but struggled far too long on the 31 cage in boxes 5/6 to work out which other digits apart from the 4, 7 and 9 would need to go in there 😳. But other than that it gave me great fun!! Thanks.
At the beginning, when Simon finally arrives at the 2-cell cage in Box1 being a 5, he should immediately know what the dot value is. To descend from 45 to 5 in five dots is (45-5)/5, which is 8. So if the green rope is 8, and 2 cells of that are 5, it must be a 3 followed by a 14 pair. Also, instantly upon deducing the dot as 8, the two 1-cell cages in Box9 are 9 and 1.
19:06 for me. That was a lot of fun to solve! I think this video provided some insights into Simon's mind. He seems like a textbook big-picture thinker. His mind seems to have a strong urge to think in generalities, noticing some of the properties that all puzzles of this sort (or with this layout) must have. And that does lead to him finding and appreciating some very beautiful logic. But it also leads to some real head-slappers when he notices one pretty thing, then discards his work a bit too quickly. (cage) = 45 - 5*(dot) Ah, that means (cage) must be a multiple of 5... and therefore it can only be 5. Beautiful! But we still don't know what (dot) is... oh, we can figure it out if we look two cages up the chain! I had to pause the video and take a walk.
Took me a long time to find the Y+X*5 = 45 algorithm. Had it almost all solved and fat fingered the final fill in but managed to work backwards from my mistake :) Cool puzzle, took way too long.
Thank you for this puzzle ! Quite approachable indeed, with a bit of CTC watching habit (I used the secret more than once !). I solved it in 35 minutes.
31:32, though I made a really dumb error and looked at the video to see where I went wrong (when I was thinking about the value of X, I came down to 6 or 8, pencil marked 6,8 in r1c7 as a reminder, and FORGOT TO ERASE MY PENCIL MARKS WHEN I STARTED THE SUDOKU).
10:58 for me, this had to be one of my fastest non-gas solves EVER! I think it's a great puzzle for people not too familiar with Sudoku as math is far more important in this one. :)🎉
At 10:55 isn't there the other boxes to consider? I'd assume R7C8 would need to be a 9, and R7C9 as well as R8C6 a 1 and R7C3 would need to be an 8 because of the limitation of the grids making any other possibility impossible if I didn't make a mistake right now (I'm very tired).
The though process might have been clearer if Simon had referred to the difference across a white dot as, oh, how about "X" rather than "dot"? This way the algebra rolls off the tongue much easier (especially as "dot" is usually an operator in math, not a value). Reminds me of a recent puzzle where the rules required the player to "shade" some cells, which Simon did in green, then used gray to mark cells certain to be not green, and even referred to the latter as "shaded cells"!
I finish this without deducing they r five by five dots difference Just simply work out 6,7,8 If 6, the max is 5 5+ 6 +6 = 17 < 21 If 7, the max is 6 6+ 7 + 7 = 20 < 21 So it has to be eight
7:00 I would say we do indeed know it's not 10 (or for that matter 9) - otherwise would be pretty tough to fill the two 1-cell cages separated by a dot in box 9!
That was lovely! Really nice idea, and a very fun break-in involving the chain of 6 cages. I wonder whether the roping was intended for the break-in or not?
The way I see it the roping is necessary for uniqueness. The first three boxes only contain big cages and scojo needed to avoid horizontal pairs emerging because there is no way for digits in the bottom boxes to reach in and resolve them.
Simon, the way you solve puzzles is very lovely, entertaining, and full of excellent explanations. I always see comments about things you missed, or did a more complicated way than the person writing the comment thought was necessary - but I never mind one bit how you go about this. Thanks so much for making such enjoyable and interesting videos. Even when I cannot watch them on the day they are posted, I always hope to return to see them later.
Great puzzle. The 5 dot sequence is a clever break-in. Once Simon had 2 cell cage total as 5 it was painful to watch him struggle to realise the only sequence that works is 45 37 29 21 13 and 5 and so X = 8. The outrage at being made to do Sudoku in a Sudoku puzzle is getting very tiresome and cliched. It's like a pianist complaining about being made to play a scale in a work.
26 min for me, meanwhile I failed solving marks puzzle that was just a few min longer video 😮 I could have tried again but found an error somewhere after an hour of solving that I must’ve made early on
most people would be advised to not try this puzzle without using paper notes, at least until the value of X has been determined. easiest way to establish that X must be from {6,7,8} is in row 7 then work around the chain from box 2 to 3 to 6 to 5 to 4 to 1 the rest is pretty much just basic sudoku
I don't think you even need row 7, at the start. The three cells at the top of box 4 sum to X, so the lower limit is 6. The two uncaged cells in box 3 sum to 2X, so the upper limit is 8.
@@RichSmith77 that's true enough, as simon showed. however, i claim that the "easiest" way is to look in row 7. why? because you are comparing a 5-cell cage to a 1-cell cage, which is the "obvious" place to start
Once he had determined that X, which is the total of each strip of blue cells, was equal to 8, and the two cell cage in r3 had a sum of 5, the left over cell became 3.
@@Scojo486 I got it, but why these two digits are not "2" and "3", which sum to "5". And the left digit can be "1". It's possible, taking into account Simon's notes before placing first numbers
I don't know (Simon can ramble all he wants about those mystery mathematics @13:50 that I have no idea how I'm going to keep track of) but the "1" surely can't go in that "domino," if I had to make an educated guess. Surely there can't be a "1" in there (the most that dominos would be was a 1,9) when I think we're looking at 97 or a little bit lower. Surely, a "1" can't go in there, can it?!
Apparently the 1 can go in there (with that "domino" being 5 @18:34). The sudokus is too much though, Simon. You may as well call it 'Mathdoku'. Doing something else (cooking dinner included). Ciao lol Enjoy though
Simon, you missed something major (if you went from a 89 {17} to a 5). Much waffling I'm seeing. ^^^ There are my 3 comment donations to the channels for ya though. Have a nice one.
Just curious, when you go to the puzzle link, does the board appear slightly blurry for anyone else? If I zoom in it focuses again, so I don't think it's my eyesight that's going bad
You could solve this in front of your inlaws, but unless they are also CtC fams, the title of "Sneaky Killers" might raise some eyebrows. Solution: Make sure all your relatives like and subscribe!
![รวมมิตร ภาพนี้ก็ฮาเหมือนกันนะเนี้ย #4 SS2 [ พากย์นรก MEME.EXE ] | easy boy](http://i.ytimg.com/vi/kl86m9gnLt8/mqdefault.jpg)
17:00 Simon notices that the math of "45 - 5x" but never gets to the point of using it again after he gets the 5-cage to get the value of the dot "45 - 5 = 5x". It's a classic Simon-move, getting some really nice logic in and then finding some other even more complicated logic to find a solution.
indeed, but he's talking on a live solve. Not quite the same as doing it yourself.
This is definitely one of those shouting at the screen moments. Simon was too focused on the middle six cell sum to notice the forced mathematical solution imposed by the first and last cages of the chain.
In fact, you don't even need row 7. X=9 is ruled out by box 3 breaking the bank and then X=6 or 7 are both ruled out by the small cage in box 1 needing to be less than X.
Even more classic Simon move: blue has to add up to X, X has to be 6, 7, or 8. Can two blue digits up to 17?
He could have immediately applied it on realising the blue domino is a multiple of 5. Clearly it had to be smaller than the dot (because blue equals dot), so 5 was the only valid option. which immediately leads to the dot being 8.
That commenter who solved it in front of the in-laws was me!! I often solve puzzles around there. They're lovely, but I like to solve puzzles in gaps in the conversation
Oh also, the cat in the thumbnail is a spitting image of their cat
So does that mean you're in a white dress relationship with them?
I'm actually not married to my partner, so not yet! Thankfully things aren't too cagey though ;)
@@michaelmatter1222
Extremely Simon to deduce the value of the dot by convoluted maths rather than solving 45 - 5X = 5 🤣
This is it! It is this cage that is going to disambiguate everything! 🤣
Classic Simon. 😂
Strictly speaking, it’s 45-5x=y, with y < x
He does explain why that last cage would need to be 5 @ 17:45
@@renedekker9806 They're talking about after they've figured out that the 2-cell cage has to have the value of 5. :)
Simon: I'm going to mark this domino with two dots so I don't forget that these two cells add up to the same as two dots.
Simon plus 5 seconds: can a dot be 24?
19:00 Wouldn't it be much quicker to say since we just figured out the domino cage is 45 - [5*dot] and has a sum of 5, dot = (45 - 5) / 5 = 8 by algebra?
We gathered to watch and eat donuts.
There were none! I thought I would go nuts!
What we did instead
Was eat nanner bread
And call Scojo's grid on your show nuts.
True story.
Simon-doku: *highlights a 25 pair and a 257 center mark* "We get a 257 triple here!" and doesn't fill in the 7 for another five minutes XD
I determined the dot by setting up an equation based on the first 3 boxes:
x = difference between cages
y = value of r3c1
n = 45
n + (n - x) + (n - 2x) + (n - 5x) = 3n - 2x - y
4n - 8x = 3n -2x - y
n = 6x - y
n + y = 6x
(n + y) / 6 = x
The only way this works with sudoku digits and accounting for the maximum value of x indicated by the interaction of r7c8 and r7c9 is if y is 3 and x is 8.
I absolutely adore the arithmetics of this one! Claps for Scojo 👏👏👏
I think what we need in the app is the ability to add killer clues as pencil marks.
You can achieve something similar by enabling the killer calculator in Settings. Then if you select a cage without a total, it will list all possible totals and fills, and you can select the total you want over on the right side of the calculator. It will then remember the chosen total each time you select that particular cage.
Hear hear
@@David_K_Booth ooooh I never thought of that! I was relying on memory and scribbles :)
We need a freeform pencil, like in MS Paint! 👍
@@David_K_Booth the ability to add multiple choices of cage sums for blank cages, and maybe outline an arbitrary area and give it a "cage sum" if you've figured one out, might be helpful in some cases.
I finished in 49 minutes. I started at the bottom and noticed that box 9 had to show the single cage as being very low to keep the 5 cage in box 8 at minimum. This led me to 7 or 8 as my x. I played with that for a bit, then noticed the top as being much better to look. From there, box 2 row 1 showed me the entire line had to be 7 or 8, which lead to box 1 row 3 being the same. It went pretty straightforward from there. I really enjoyed this puzzle. It had some nice geometry and tested my mental math skills. Great Puzzle!
19:00 Alternatively, 45 - 5x = 5, so x = 8
I can instantly see that conversations in front of in-laws will involve secrets and roping.
...and cages
The Maths is definitely lovely! I am glad that Simon also agree with that comment!
Brilliant puzzle and fortunately quite approachable.
Finished in 33:56. Quite happy, didn’t use math but logically deduced from the 9 cell cage back to the small one. Liked it!
“21 is only just possible, and that’s three eights”???? I struggle with these puzzles, and when Simon is thinking out loud like this I feel really dumb!
Three dots of value 8 away from a full 45-cage. But yeah, that did sound confusing.
I got all the way to where Simon is at 34:50 and then I got stuck and had to check the video, calculating the value of the three squares outside the cages in box 6 never crossed my mind.
I'm so lucky not to have in-laws. I would have ashamed myself totally by making a rookie mistake and not being able to recover from it without starting over.
how i would have started:
blue is a dot and has a minimum value of 6.
there’s 2 1 cell cages in box 9 separated by a dot, thus, the dot value is between 6 and 8
Simon made a bit of a meal of the opening chain. The first cage is 45, the second 45-x, the third 45-2x, all forced. Then the 4th is either 45-x or 45-3x, and the 5th cage is either 45, 45-2x or 45-4x, but since x is from 678, the 5th cage has to be 45-4x. Then finally the domino has to be 45-5x...
And then since 45-5x < x because of the roping, x > 7.5 so x has to be 8.
18:54 for me. Very nice puzzle, once you get the X it's pretty smooth and logical
The whole business with 15 at the end is far simpler than Simon made it; there has to be a 7 by sudoku inside the 15, so the other two have to sum to 8 but can't cant be 17 and also can't be 26 because of the 6s in R5&6, so it has to be 357 which is immediately resolved
Loved this one 🎉
Rules: 02:55
Let's Get Cracking: 04:08
What about this video's Top Tier Simarkisms?!
The Secret: 5x (04:30, 04:36, 04:50, 22:01, 31:54)
Three In the Corner: 1x (21:02)
And how about this video's Simarkisms?!
Hang On: 9x (10:16, 11:44, 12:47, 13:52, 13:52, 17:17, 17:17, 17:17, 18:40)
Lovely: 5x (17:25, 28:00, 30:09, 37:15, 37:15)
Sorry: 4x (09:13, 12:51, 21:31, 23:26)
Ah: 4x (19:12, 26:45, 29:48, 33:55)
Beautiful: 3x (00:58, 36:28, 36:38)
By Sudoku: 3x (05:25, 30:32, 35:40)
In Fact: 3x (03:52, 05:00, 21:20)
Stuck: 2x (01:16, 02:40)
Extraordinary: 2x (00:19, 01:51)
Ridiculous: 2x (01:45, 01:45)
Surely: 2x (12:57, 22:14)
Obviously: 2x (02:25, 07:36)
Pencil Mark/mark: 2x (19:59, 34:26)
Bother: 1x (26:19)
The Answer is: 1x (26:26)
Nonsense: 1x (34:22)
Clever: 1x (17:49)
Naughty: 1x (33:58)
Our old Friend Sudoku: 1x (26:39)
Intriguing: 1x (00:59)
Plonk: 1x (33:08)
That's Huge: 1x (19:42)
Thingy Thing: 1x (24:20)
Unique: 1x (02:07)
Most popular number(>9), digit and colour this video:
Fifteen (20 mentions)
Eight (57 mentions)
Blue (9 mentions)
Antithesis Battles:
Low (2) - High (1)
Even (4) - Odd (0)
White (6) - Black (0)
Column (8) - 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!
The 1:1:5 cage size ratios aren't required to limit x to 678, infact i didn't look at this til much later. I started entirely on the roping; as soon as you realise the two uncaged cells in B3 sum to 2x, you know x is at most 8, while B2 says x is at least 6...
@ 8:48 - "I suppose the maximum value of the dot is 24" - Have you looked at R7? The maximum difference between two single digits is 8. If you chase the sequence from the 45 to the 2-cell cage in box 1, the minimum value of the dot is 8 too.
@ 18:35 - "So how do we do this then?" - It's simple: 45 - 5 = 5*X, so X=8.
@23:42 - "9 is now in one of those two squares" - use your eyes - there's a 79 pair looking at one of them, and you know there's roping, so you could have pencil-marked 7s and 9s into yellows, and you could place them both in box 1.
@ 34:58 - "I can knock 8 out of this" - You can do better. The 31 cage includes either 4 or 5, but not both. The other goes in R5C9, so it must be 5.
@ 35:18 - "If there's no 7 here" - of course there's a 7 - by sudoku you could have pencil-marked 7 in there ages ago.
I lost count of the sudoku fails in this. It's not outrageous that you're expected to do sudoku in a sudoku puzzle. What is outrageous is your insistence on not doing it unless forced.
Finished in 26:50 - I've had a few recently where I've finished faster than the video length! Thanks for a fun puzzle :)
I enjoy all of your videos Simon, your manner of talking is very pleasing!
Since others have already pointed out the easy way of deriving the dot from 45 - (5*dot) = 5, I'll instead point out that once you know there cannot be a positive increase in one step along the five dot chain, then you also know there cannot be a positive increase *anywhere* along the five dot chain, since obviously 45-x-x+x-x-x is the same as 45-x-x-x+x-x, which is the same as 45-x-x-x-x+x
Fantastic solve!!!
Love Simon's fantastic solving skills ❤
@@davidrattner9 ❤️
17:52 For me. I ❤ puzzle with a bit of arithmetics 😊
Wow, you could find X as well by only looking at rows 7, 8 and 9 (or at least I did, not noticing anything from the first 3 rows). The sequence of cages 1:1:5 indicates that the minimum value of X is (of 5:1) 15-9=6 and the maximum (of 1:1) 9-1=8. Then the 1:4 sequence along with the 1:1:5 is actually max-pressed: It's hard for me to explain in the short time I have, but you can tell how in the solved grid: r7c3+r7c8 is max and box8 -(r9c4+r9c6) is minimum.
I think Simon's assumption of adding to "5" was lucky. Yes 5 is forced, but he said it has to be a multiple of 5 and therefore the cage adds to 5 and he know it is 5. Not true yet. It is 5 steps down and a multiple of 5. That's all we know. So it could step down 5*6 = 30, and then the two cell cage is 15. It could step down 5*7=35, and the two cell cage is 10, and finally it could step down 5*8=40, and the two cell cage is 5. There are correct ways to get there. I don't think this was one of them.
Simon explains a few seconds later that the number in the cage also needs to be smaller than 6,7 or 8, because it’s part of blue.
I can't wait for the day where i have a significant other to write in when it is my birthday 🥳
I can't believe Simon's got that drip in the thumbnail
you resolved boxes 5 and 6 by Goodliffing 😂
now that's a word that needs to go in the dictionary
Nice puzzle. I had the X value fairly quickly, but struggled far too long on the 31 cage in boxes 5/6 to work out which other digits apart from the 4, 7 and 9 would need to go in there 😳. But other than that it gave me great fun!! Thanks.
I experienced the exact same thing 😊
At the beginning, when Simon finally arrives at the 2-cell cage in Box1 being a 5, he should immediately know what the dot value is. To descend from 45 to 5 in five dots is (45-5)/5, which is 8. So if the green rope is 8, and 2 cells of that are 5, it must be a 3 followed by a 14 pair. Also, instantly upon deducing the dot as 8, the two 1-cell cages in Box9 are 9 and 1.
19:06 for me. That was a lot of fun to solve!
I think this video provided some insights into Simon's mind. He seems like a textbook big-picture thinker. His mind seems to have a strong urge to think in generalities, noticing some of the properties that all puzzles of this sort (or with this layout) must have. And that does lead to him finding and appreciating some very beautiful logic.
But it also leads to some real head-slappers when he notices one pretty thing, then discards his work a bit too quickly.
(cage) = 45 - 5*(dot)
Ah, that means (cage) must be a multiple of 5... and therefore it can only be 5. Beautiful!
But we still don't know what (dot) is... oh, we can figure it out if we look two cages up the chain!
I had to pause the video and take a walk.
Solve no. 1530 with a time of 86:43…. Now to watch S instantly notice logic that took me half an hour to find
Took me a long time to find the Y+X*5 = 45 algorithm. Had it almost all solved and fat fingered the final fill in but managed to work backwards from my mistake :) Cool puzzle, took way too long.
Thank you for this puzzle ! Quite approachable indeed, with a bit of CTC watching habit (I used the secret more than once !). I solved it in 35 minutes.
30:25 which includes 2 minutes staring at it because there was 5 hint the last box, not a full sized 5.
31:32, though I made a really dumb error and looked at the video to see where I went wrong (when I was thinking about the value of X, I came down to 6 or 8, pencil marked 6,8 in r1c7 as a reminder, and FORGOT TO ERASE MY PENCIL MARKS WHEN I STARTED THE SUDOKU).
10:58 for me, this had to be one of my fastest non-gas solves EVER! I think it's a great puzzle for people not too familiar with Sudoku as math is far more important in this one. :)🎉
Yeah it was very approachable but fun. 14 minutes for me.
When you learned the 2 cell cage was 5, Why didn’t you just take 40 and divide by 5?! Good to be thorough though!
At 10:55 isn't there the other boxes to consider? I'd assume R7C8 would need to be a 9, and R7C9 as well as R8C6 a 1 and R7C3 would need to be an 8 because of the limitation of the grids making any other possibility impossible if I didn't make a mistake right now (I'm very tired).
11:29, much easier than expected
23:39 for me. just becasue I am stupid and forgot that all the white dots are the same difference. I wasted several minutes.
55:13 for me. I should've been a lot quicker, but was unfocused.
The though process might have been clearer if Simon had referred to the difference across a white dot as, oh, how about "X" rather than "dot"? This way the algebra rolls off the tongue much easier (especially as "dot" is usually an operator in math, not a value).
Reminds me of a recent puzzle where the rules required the player to "shade" some cells, which Simon did in green, then used gray to mark cells certain to be not green, and even referred to the latter as "shaded cells"!
I was amused that I gave him a perfectly good variable name to use and he went with "dot" at the beginning haha
54:49 - probably spent way too much time trying to look for dead giveaways to avoid doing math, but overall it was a good puzzle!
I finish this without deducing they r five by five dots difference
Just simply work out 6,7,8
If 6, the max is 5
5+ 6 +6 = 17 < 21
If 7, the max is 6
6+ 7 + 7 = 20 < 21
So it has to be eight
7:00 I would say we do indeed know it's not 10 (or for that matter 9) - otherwise would be pretty tough to fill the two 1-cell cages separated by a dot in box 9!
Also those 2-dot cells in Box 3. They can be 89 = 17 at most
That was lovely! Really nice idea, and a very fun break-in involving the chain of 6 cages. I wonder whether the roping was intended for the break-in or not?
The way I see it the roping is necessary for uniqueness. The first three boxes only contain big cages and scojo needed to avoid horizontal pairs emerging because there is no way for digits in the bottom boxes to reach in and resolve them.
@@MrGrog90 In that case it’s even more lovely
Yes, the roping was absolutely intended!
21:58. Took me longer than necessary to consider 8 as a possible white dot value.
Thanks for the break. :) The logic in this one is a lot of fun; 28:49.
15:00
how can 2 numbers from a tripple summing to a maximum of 8 be 17?
Simon, the way you solve puzzles is very lovely, entertaining, and full of excellent explanations. I always see comments about things you missed, or did a more complicated way than the person writing the comment thought was necessary - but I never mind one bit how you go about this. Thanks so much for making such enjoyable and interesting videos. Even when I cannot watch them on the day they are posted, I always hope to return to see them later.
22:25 for me. I was (as usual) slow with a lot of regular sudoku.
This puzzle is really easy. How do I know? I could solve it!!!
Great puzzle. The 5 dot sequence is a clever break-in. Once Simon had 2 cell cage total as 5 it was painful to watch him struggle to realise the only sequence that works is 45 37 29 21 13 and 5 and so X = 8. The outrage at being made to do Sudoku in a Sudoku puzzle is getting very tiresome and cliched. It's like a pianist complaining about being made to play a scale in a work.
Completed in 18m41s.
26 min for me, meanwhile I failed solving marks puzzle that was just a few min longer video 😮 I could have tried again but found an error somewhere after an hour of solving that I must’ve made early on
most people would be advised to not try this puzzle without using paper notes, at least until the value of X has been determined.
easiest way to establish that X must be from {6,7,8} is in row 7
then work around the chain from box 2 to 3 to 6 to 5 to 4 to 1
the rest is pretty much just basic sudoku
I don't think you even need row 7, at the start. The three cells at the top of box 4 sum to X, so the lower limit is 6. The two uncaged cells in box 3 sum to 2X, so the upper limit is 8.
@@RichSmith77 that's true enough, as simon showed. however, i claim that the "easiest" way is to look in row 7. why? because you are comparing a 5-cell cage to a 1-cell cage, which is the "obvious" place to start
31:11 for me. Brilliant puzzle!
Please, explain how he had found "3" in row 3 column 1 (the 1st number placed)?
Once he had determined that X, which is the total of each strip of blue cells, was equal to 8, and the two cell cage in r3 had a sum of 5, the left over cell became 3.
@@Scojo486 I got it, but why these two digits are not "2" and "3", which sum to "5". And the left digit can be "1". It's possible, taking into account Simon's notes before placing first numbers
So 45 - 5x = 5, and x is, well, could be 6, 7, or 8....
13:08 for me.
I don't know (Simon can ramble all he wants about those mystery mathematics @13:50 that I have no idea how I'm going to keep track of) but the "1" surely can't go in that "domino," if I had to make an educated guess.
Surely there can't be a "1" in there (the most that dominos would be was a 1,9) when I think we're looking at 97 or a little bit lower.
Surely, a "1" can't go in there, can it?!
Apparently the 1 can go in there (with that "domino" being 5 @18:34).
The sudokus is too much though, Simon.
You may as well call it 'Mathdoku'.
Doing something else (cooking dinner included).
Ciao lol
Enjoy though
Simon, you missed something major (if you went from a 89 {17} to a 5).
Much waffling I'm seeing.
^^^
There are my 3 comment donations to the channels for ya though.
Have a nice one.
45-5X=5 hmm I wonder what X could be...
28:07 for me easy shish!
Can you also solve it if you're not married?
No!
You just need a sibling who is! (More complicated relationships may also be possible.)
You can... but SHOULD you?
no, because then you will be out there, chasing girls (or guys)
28:28 for me.
25:08 for me
Just curious, when you go to the puzzle link, does the board appear slightly blurry for anyone else? If I zoom in it focuses again, so I don't think it's my eyesight that's going bad
You could solve this in front of your inlaws, but unless they are also CtC fams, the title of "Sneaky Killers" might raise some eyebrows.
Solution: Make sure all your relatives like and subscribe!
Cool puzzle. 41:11 for me, solver 551
43:03 for and I was solver #2473.
50 minutes
12:29 for me. What a great puzzle, loved it!!