Is the Chain as Strong as its Weakest LInk?
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Normal sudoku rules apply. The grey lines are palindromes, containing either only low digits (1234) or high (6789). The yellow area enclosed by the two palindromes contains only digits from the opposite polarity to the palindromes and 5. i.e. if the palindromes contain digits (1234) the yellow area contains digits (56789). The sum of the digits in the yellow area is a prime number less than 135. Numbers along an arrow must sum to the number in the circled cell. Digits separated by a black dot are in 1:2 ratio, digits separated by a white dot are consecutive. Numbers in a cage sum to the indicated total.
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▶ Contents ◀
0:00 Theme Music & News around the channel
1:28 Rules of today’s puzzle
3:10 Start Of Solve - Let's Get Cracking! - Zábava
The suspense was killing me. I had to keep watching to see 26 = 13 + 13 = 6+7 + 5+8.
Same here!
Sometimes I assume that Simon and Mark simply don't have the time to watch through their own videos later on. And sometimes I, or other people, might comment to sort of point out where the mistake was made. I feel like that is unnecessary with this one; no way Mark hasn't watched through at least enough of this video to realize where he went wrong. I was a little surprised with his initial mistake, because he is always so good, quick, and accurate with his mental math. But...we all make mistakes, so OK, no big deal. But then when he corrected the initial mistake and then correctly pencil-marked the 4 "outies", I was a little shocked that he didn't immediately spot it (again, because he's usually so good at that). I think Mark even quipped at one point that this was so uncharacteristic of him, which it was!
I just don't get why they are so adamant all calculations need to be done in your head. Something like this - I always use a piece of paper to jot things down on. No shame in that. If they did that - it would save us all some accumulated hours of agony watching... I've always told my kids when they tried to do everything in their head and eventually maths got more complicated and they started making mistakes and getting stuck - if you have't got a piece of paper next to you - don't even come to me asking for help. Use a piece of paper!
@@SarahLivne This! Exactly this! I really don't understand why both Mark and Simon find outrageous to use a piece of paper - or a notepad. It's pointless for them and frustrating for us.
@@pancrazioeuscopi Something about wanting us to see everything... I think.
What a relief to see Mark struggle almost as much as I did. I am not posting my time.
Mark got so hung up on using the "minimum" word that he didn't use the numbers. The 5 didn't change the minimum, it was part of it, so 2 more than 6 is 8. I kept hoping he would use the number words... and he would get close "I need 26, I can put in 13" but then he stops and starts using "more than minimum" stuffs. At least it works though! and far better than I could do.
That was immensely satisfying. I loved the palindrome minigame at the beginning. Managed to place A, B, C, D as placeholders for all the palindrome numbers before I even found a single digit.
That’s how I approached it as well.
I really think that using a calculator to work out whether 131 is prime or not, is not cheating. Working that out in your head is above and beyond. I did manage work out in my head that 7+6+8+5=26, making the yellow area 131. Great puzzle, and an amazing 'Doh!' moment when Mark realised what he had missed for such a long time.
I was relieved as Mark found the arithmetic error. Sometimes a knot in a brain is too tight and just a cut can make it free. Nice puzzle.
Spoken like an actual brain surgeon.
18:14 for me. I started by coloring the palindrome cells in r4 since they needed to be unique; then I continued the colors on the rest of the lines and a number of other cells in the grid until I was able to use one of the arrows to determine the polarity of the palindrome cells. The rest of the puzzle mostly solved itself afterward.
Similar approach to me, except I started in row 6. I then got two palindrome cells in the 14 cages and could see they couldn't be 6 and 7, which I used to determine the polarity
I did exactly the same thing!!
Same and 19:11 time. Interested to see why the solve from Mark takes so long.
I forgot about the prime number clue and so I ended up spending 68 minutes on it.
Something seems a bit wrong at 35:52. You say r2c7 = 8 implies r4c9 must be 7? But it would need to be 8+1=9.
I think he got a little burnt off by all the calculations and he read the arrow upside down for a moment (with r2c7 being the circle and r4c9 the tip, and then switched to normal without realising. That was a lucky strike, really!
Yep, I did not get this as well! But this is the crucial step to move forward!
Mark goes on to make a number of deductions based on this error, regarding the placement of 9s and elimination of a 7 from R4C9. Does this get fixed, or just not impact the final answer?
@@Esperi74He gets lucky.
He rules out 9 from r4c9 because he reads the arrow in the wrong direction, and then just a minute later (37:05) he starts reading the arrow in the right direction to remove 8 from r2c7, based off of having removed 9 from the other end! Pure luck that neither of those cells were 9 or 8.
I came to see if anyone said anything about this. Surprised to see so few comments about it.
I finished in 31 minutes. I used the lettering tool to assign a letter to the palindrome and marked how it bounced around the grid. That helped me prove that 1234 was the palindrome number. I don't know if that counts as a form of cheating or not since I am marking the grid. I did have to look up Prime numbers and was happy to see that when 56789 is used, only two possibilities exist. Overall, I really enjoyed this puzzle. Also, it feels good to to beat Mark's time. Great Puzzle!
That's how I cracked in. Once I used letters to place A and D on two of the arrows, A and D can't be high and must be low. The come the 14 cages, then a lot of fussing about and pencil marking, then 15 minutes of being absolutely puzzled, then remembering that there is a Prime Number clue.
Considering how powerful palindrome's are in general....palindrome's limited to 4 digits made this pretty straight forward.
I used colours, but same idea: I hit the palindrome's first. Which quickly propegated to most of the grid. Resolved box 1 (more or less)....
When I placed a couple of "not minimum" digits in the fringes of the yellow (outside the 2 5-sets), it made me think of the prime thingy.
The 💡when the knowledge bomb dropped that 5+6+7+8=26 😂
And I don't really understand why Mark and Simon prefer colours over letters, a palindrome calls for the letter tool to me.
Same! :) (Although I did use colors, too, as they made it easy to color the whole grid at a glance.)
The math error came when you said 5,6 > 6,7 increased the 127 total by 2 (correct) and 5,6 > 5,7 also increased the total by 2
Math is Mark's weakness.
@@samueldeandrade8535 I really don't think so.
@@emilywilliams3237 yeah, yeah, Emily. I know you love him, Simon, the channel.
"4 more than two 5-6 dominoes" says Mark, while looking at a pair of cells that includes 8/9 pencil marks in one cell, and a minimum of 6-7 in the other domino 🤔
👍🏻👍🏻 Great puzzle, took me about 25 minutes. I started with the palindromes (but using letters rather than colours) and then moved on to looking at palindrome cells vs yellow cells ... I think that doing it this way round was quicker (although that's purely luck to have picked it on my part!) than trying to work out the high/low from _just_ generic palindrome vs yellow cells.
24:45
This was a clever little puzzle which stung me by me forgetting about the yellow total and looking everywhere else for a while. Thanks.
Nice. Only needed help up to 13:25 and was able to get the rest of the way on my own. Any time I'm able to complete it with more than 10 minutes left on the video, I feel like I actually got some good logic in there beyond basic sudoku, so I'm happy with this one.
29:32 for me - I got stuck for about 10 minutes when I realized "this is probably where I'm supposed to figure out the prime number clue".
Same. Except for me it was about 45 minutes total, and 20 minutes forgetting about the prime number. But I'd pencil marked everything so well by then that when I looked at the prime, and minimized the digits that weren't in boxes 2-5-8, I had 131, so it was off to the races.
@@thebitterfig9903 Same, here. I had a lot done by the 20 minute mark, thinking I might actually match their time, which is rare, but then at around the 40 minute mark I spent ages looking for geometrical tricks, finding a few, but no breaks. At about 70 minutes (I did get a ten minute phone call during this time, too...) I finally reread the rules and saw I hadn't used the prime number one. That broke open the ending for me.
Rules: 01:36
Let's Get Cracking: 03:09
Mark's time: 40m36s
Puzzle Solved: 43:45
And how about this video's Simarkisms?!
By Sudoku: 6x (26:16, 26:41, 28:42, 35:25, 35:56, 36:12)
Ah: 5x (07:49, 11:01, 13:47, 22:39, 26:54)
Sorry: 4x (03:18, 07:41, 35:19, 44:16)
In Fact: 4x (04:44, 05:56, 24:00, 31:01)
Obviously: 4x (19:21, 23:19, 26:37, 30:43)
Wow: 3x (06:50, 18:11, 22:22)
Weird: 3x (08:56, 37:21, 40:18)
Surely: 2x (03:26, 10:44)
*****ing: 2x (33:54, 43:07)
What on Earth: 1x (42:36)
What a Puzzle: 1x (44:07)
Bother: 1x (16:02)
Clever: 1x (44:12)
Brilliant: 1x (00:58)
Shouting: 1x (44:25)
I've Got It!: 1x (28:56)
Symmetry: 1x (23:38)
Most popular number(>9), digit and colour this video:
Fourteen (12 mentions)
Six (60 mentions)
Purple (43 mentions)
Antithesis Battles:
Low (42) - High (20)
Even (4) - Odd (2)
Black (3) - White (1)
Column (11) - Row (8)
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!
As someone else commented, I coloured both palindromes, and the arrows show me wich one were the high numbers. Then to finish, I solve the prime number! Great puzzle. I think I got super lucky on this one because I did in less than 15min! 🤔🧐🤗
33:10, neat puzzle!
I did pull up a list of prime number of course
Great one! Very satisfying to solve
Nice puzzle and great solve. Solved it in 30:34. I was hoping Mark would realize that a 5-7 pair is only ONE bigger than a 5-6 pair :) I guess this is how the brain can get stuck on an idea and can't realize the error :)
Nice puzzle; very much enjoyed it! Was a lot easier for me than I expected finishing it in 11:47, with the palindrome logic stunning!
Fantastic puzzle.
The 3-4 pencilmark in r4c2 is wrogn, which should be placed in r3c2
Oooh, crushed Mark's time again! Solved in 22:55. That's twice this week for me.
19:38 the 3-4 pencilmark in r4c2 should be placed in r3c2
The letter tool is your friend on this puzzle!!!!!
Not a bad puzzle at all. I did take about 80 minutes though because after around 40 minutes, despite having most of the grid colored, several colors isolated to their values and several more down to just one, two, or three values, I spent ages looking for a break thinking I was just missing some geometrical item, but nope. It was the prime number clue reducing four cells to their minimums, just like the 14 cages were reduced earlier. Oh, well. Still fun. Thanks!
Very beautiful puzzle.
50:17. This was fairly straightforward if you approach it in the right way, but I feel like I tried the wrong ways first. Tried to prove some things about the cages and the black dot to see how that affected the lines, before trying to colour and finding out it was the arrows that did it. Then I forgot about the prime number thing for a while until after I got stuck. Turns out that was in play as soon as we sorted out low vs high because there were only 2 possibilities (although it took a bit of mental maths to figure out that 133 = 140-7 = 7*19, so not a possibility).
55:06 - That was very enjoyable though I did waste about 15 minutes when I put the wrong digit in the middle of the 3 kropki dots and didn’t spot it until everything went pear shaped at the end. The prime number disambiguating towards the end was much more straightforward than I feared too!
23:10, fun puzzle!
Finished in 18:59. Seemed pretty straightforward with coloring forcing the numbers on the palindrome to be only from 1 set if you check where they are in boxes 4 or 6.
Fun puzzle!
39:48 for me. Nice puzzle!
I love coloring puzzles!
Me too. I t makes me very happy when I "get to colour". 😁
17 mins for me - a very rare occasion of being quicker than Mark!
34:12 for me. I'd have probably saved a lot of time if I bothered to confirm if one of two options (below, for spoilers) was prime, but I decided to proceed with sudoku instead.
options were 131 or 133.
47:11 Nice puzzle!
First time I've ever beaten a Mark or Simon's solve time! Came out to 38 minutes flat!
25:36. I'm feeling pretty good about this solve.
36:57 for me
nice puzzle
Letters > Colors when it comes to sorting out long strings like palindromes.
Great puzzle. Lot of fun. Very neat the way the two palindromes coloured up. Then the two 14 cages eliminating 127 as the target prime leaving 131 which required the minima from the four cells Mark struggled with. Didn’t understand his difficulty. His head just wasn’t working I guess.
He got fixated on 7 being 2 more than 5, the minimum individual cell value, so in his head 5+7 became 2 more than the minimum for the domino. Obviously it isn't, but that's what his subconscious got him believing, and he just never questioned it.
30:48 for me. Was the prime number rule needed? I seem to have solved it without thinking about primes, only the "less than 135" bit mattered.
It made it a little bit easier, by ruling out 132 and above. (Basically, it turned “less than 135” into “less than 132”) 😄
Considering my reasoning, yes, it was important.
it's not a unique solution without the prime constraint
I think you mean ruling out 133. An even number higher than 2 is never a prime...
i think i found the most efficient solution, and even my initial stumbling around in the dark turned out to be useful.
basically, the cages and arrows and yellow area sum are useless, so you have to colour the palindromes, starting from the tips. colour like mad (only 4 colours !)... and suddenly the arrows give you the polarity on the palindromes. goodliffe like mad ... etc. ... then invoke the prime sum
even mark is struggling with this puzzle, so it's clear that solvers SHOULD use some sort of scratch pad here.
Let's get adding....
I was surprised I did not mess up the calculations. :D 28:22 \\m//
Wow, I'm in shape! Got this in 27 minutes, a time of 0.65 mark. Bragggg
28:33 Placing 57 pair here makes the total 130
How can I share my sudoku creations?
Seems that there's a mistake in logic @ 35:55 (8 + 1or2 = 7?), for those coming looking for what you're supposed to do here look below
SPOILERS:
At this point you should be looking to the yellow squares, the ones in columns 4 thru 6 add up to 105, and since the domino in column 3 can not hold a 5 the only prime number sum available for all of them is 131, leaving a sum of 26 in the two remaining dominos in columns 3 and 7. For the digits you're restricted to in the dominos, the only way to sum to 26 is with 5, 6, 7, and 8, and there's only one permutation to put them in those squares. From there just finish off with standard sudoku and the palindromes.
Thank you
I am surprised that no one else is mentioning this error in the comments. He got lucky there but at least it didn’t help resolve the yellow sum
Relaxing 36:22 min while being a bit distracted.
I got it in 25:39, and I again used letter substitution to logic it out for the palindrome. I was surprise how far I got without needing numbers.
36:15 How does Mark conclude that putting an 8 on the arrow tip makes its bulb a 7?
27:19 for me
00:44:08
15m 24s
16:43
5 and 7 are not two more than the minimum of 5 and 6. They are only one more.
Hmmm I'm not really a fan of the under 135 rule. It's a give away that the orange cells are high digits because there's no way to make them sum any where near 135 if they are low digits.
133=7*19, so 133 is not a prime number, but 127 and 131 is.
Wow. 15 minutes in before he starts working on the palindrome, and he uses colors to sort them out. That seemed to make it unnecessarily hard.
Poor Mark agonizing over the more complicated math because of a small arithmetic error.
The difference between 5+6 and 5+7 is just 1. Being so stuck on that idea, he incorrectly compared it to 5+8 when checking later, which does have a difference of 2.
This one is wonderfully infuriating!
It's comforting that Mark has put this out despite having a really rough time of it. Fair play!
34:40 for me
Maths not very good today. 133= 6+7 and 5+8. The rest follows as the day the nigh!
12:58 for me, found this really straightforward.
27:47 today
18:09. I coloured the 4 unique palindrome numbers from cell 5 and coloured from there. Determined because of cages yellow had to be high so only 2 possible sums for yellow. Once 127 was eliminated I knew I only had 6 degrees of separation from low values of the high digits. As they got picked down to only 1 degree separation, I knew a possible 7 or 9 had to be a 7 because a 9 would exceed my degrees. (I had already figured out by then which colours were 12 and which ones were 34). That's when much of my puzzle grid became easily solved. With my disambiguation of 1s and 2s coming from a 25 pair in box 9. I give my quick solve to all the little sudoku tips I've learned over the years from this channel.
I somehow got 2 solutions. No one else? The last few 1,2,3,4 digits could be out in for me in multiple ways with no rule prohibiting that. I cant be the only one..
I also got two solutions. I ended up with the 1's and 2's in boxes 1, 2, 4, 5, 6, and 7 being able to be switched around with nothing to disambiguate them? But this has happened to me before and I always seem to be wrong so I am guessing I am just missing something. But when entered either way the puzzle responds saying I have the correct solution.
Edit: NVM the bottom palindrome disambiguates them.
Oops, 133 is not prime so my solution on the left is incorrect.
15:11 for me - very straightforward but quite enjoyable
The rule about the sum of the yellow cells is just a boring arithmetic disambiguator (although I used a table of primes), but I liked the colouring exercise, and the other rules made it worth the effort.
Paolo, I think that this was a debut on the channel - surely you could come up with a kinder way to express yourself. "Boring" is not very nice - and is very much subject to your own opinion. (And for some people, figuring out what the possibilities might be would not be trivial.) I hope that this constructor will not be discouraged to think that you found this key aspect of the puzzle "boring."
@@emilywilliams3237 I do not think this is a "key aspect of the puzzle," and I did not mean "trivial." I just did not like that rule, first because it forced me to look up the primes below *135* (figuring them out myself would have been an even more unpleasant exercise) second because its application does not require logic. Just boring arithmetics. Of course, this is just my opinion.
Something like a white dot between *r3c3* and *r4c3* and another white dot between *r7c6* and *r7c7* would have made the ruleset shorter and more enjoyable. I am not a constructor and I am not sure this works, but I bet some similar alternative to the above mentioned arithmetic disambiguator can be found to improve this ruleset.
8:23 for me. Nice puzzle!!
50 minutes
Looked up a table of primes. Would have been a headache and i probably would have made a small mathematical error of i had tried. Mark and Simon's resistance to using the letter tool astounds me sometimes.
I got another solution. Why is Marc's solution correct?
The sum of the yellow squares is 131. That is 4 less than 135. As far as I know 4 is not a prime number.
Or am I missing something here?
131 is a prime number.
@@paulroling1781 The rules are not saying: The sum of the digits in the yellow area is a prime number.
But: The sum of the digits in the yellow area is a prime number less than 135.
Meaning the difference between the sum of the yellow area and 135 is a prime number.
@@philippesas2085 The sum of the digits in the yellow area is a prime number, and that number must be less than 135. You've read it a different way and I can see how the wording could be interpreted to mean that the sum of the yellow digits is less than 135 by a difference that is a prime number. But in the context given, I'm reasonably certain that it's the former interpretation.
Huh, that's interesting. I went back and reread the rules and I can see how your logic works.
When The Werefrog solved it in 21 minutes but saw your timer said 40 some minutes, The Werefrog wondered what happened. Yeah, adding big numbers is hard in your head.
15:04 for me
There are 5 yellow cells in box 5 so yellow must be the 5 high numbers
Why can't they be the 5 low numbers?
Read carefully. The yellow cells are either 56789 or 12345. :-D
Punctuation marks are important in sentences, but nobody seems to care.
There is written: the sum is a prime number less than 135.
But everybody understands: the sum is a prime number, less than 135.
The 5 had to be yellow , that gives 5 high digits in box 2 , in yellow 🫡
19:23 for me