A Crazy Sudoku Tour around the Block
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- čas přidán 11. 06. 2024
- Here's where you can play Around the Block by Arbitrary: app.crackingthecryptic.com/TB...
Normal sudoku rules apply. Digits along an arrow sum to the value in the connected circle. Neighbouring digits on a green line have a difference of at least 5.
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▶ Contents ◀
0:00 Theme Music & News around the channel
4:54 Rules of today’s puzzle
5:35 Start Of Solve - Let's Get Cracking! - Zábava
Now that you’ve told us the pigeon story, you absolutely have to set up a ‘pigeon cam’ for us.
For those who don't like Mark's solve path at 23:40, which is quite long for a lot of people to do in their heads, an easier way to think of it is to ask where 4-5-6 go in row 2. Determining that will establish where the 7 goes in the row, and you can work from there.
thanks! I knew there had to be a deduction more in line with the rest of the puzzle but just could not find it
Interesting. Thank you for sharing your logic 👍😏
I guess you started by ruling them out of the *whisper line* in *box 3,* which I did as well. But I missed the obvious effect of this elimination on *row 2.* Brilliant 👏
Before that, it is also possible to corner-pencilmark *3* and *9* into the first row of *box 3,* and:
🔹 rule *6* out of *r8c7* (easy)
🔹 rule *3* out of *r8c7* (it would lock *3-8-9* into the u-shaped whisper line in *box 6,* which would push *3* out of the whisper line in *box 3,* ...)
🔹 rule *8* out of *r7c7* (it would lock *9* into the u-shaped whisper line in *box 9,* which would push both *3* and *9* out of the whisper line in *box 3,* ...)
Another trick that Mark missed was the permuted *Phistomefel ring.* If you are familiar with it, it can be used as a shortcut for breaking-in (see my separate comment for details). However, I am glad he missed it because his approach was equally elegant and brilliantly executed.
@@Paolo_De_Leva I agree, his approach was very nice, and I'm glad that he showed it. Unfortunately not everyone who does these puzzles is on his level, so I wanted to offer the alternative. If a person was coming to the comments for help, it means that they were struggling with his explanation. But I also didn't want to just spell everything out in my solution path, which is why I only gave the hint.
(Though I'll admit, I started my solve by ruling 4-5-6 out of all square whispers except for the one straddling boxes 1&2, and yes I penciled 3-9 into row 1 of box 3. Can't remember the rest though. 😁 )
I like your simplification of this step.
Mark is very good at mentally keeping track of lots of theoretical digits, but they're not the easiest steps to follow.
My alternative way forward from here was to ask what the low digit was on the bottom of the German Whisper in box 3. 3 had to go in row 1, by sudoku, and 4 couldn't go on the GW, so it had to be 1 or 2. This formed a virtual 12 pair in the row with column 6, making r2c1 a 9.
Edit: I think I already had r1c6 as an 8 using similar logic to Paolo, making r2c6 one of 1 or 2.
I even had 456 pencil marked into r2 c7 and still got stuck on that deduction. Thanks for your version. Don't solve distracted!
I loved the pigeon strory.
A less bifurcatey option at 26:30 : since 3 must be in row 1 of box 3, the low digit in r2c8/9 must be a 1 or 2. That makes a virtual 12389 quintuple in row 2, therefore the high digit in the green square in box 3 row 2 must be a 7. That places a 3 in r1c7 and the rest of the puzzle is straight-forward.
Interesting. Thank you for sharing your logic 👍😏
See also *markp7262's* comment for a different way to avoid Mark's powerfully predictive approach.
Please update us on the pigeons!
Based on the solve counter days, it looks like Mark solved this puzzle in Mid-February and must have been saving the upload for when he needed a video. I don't recall him ever mentioning the pigeons again, but I definitely could have missed it if he did.
Very satisfying how the the digits on the blocks become steadily more constrained, until they are fully determined. It reminds me of crystals forming.
Brilliant solve. After enjoying a lot of consecutive success with complicated puzzles, this somehow conquered me bigly. I love how both Simon and Mark can be so minimalistic sometimes.
Great puzzle, great solve, and I also loved the pigeon story
I finished in 69 minutes. I really enjoyed this one. Playing around with the 456s in the grid knowing that they couldn't go in most of the German Whispers and their limitation in the arrow clues made this really satisfying. The geometry was quite nice. Great Puzzle!
26:48
Great job Arbitrary, this felt like I was teetering on the edge of being stuck for most of the solve while never quite getting out of reach. 👍
We had the same pigeon problem this year on our balcony. They tried to build a nest, which we tried to stop, but when they put down three tiny twiglets and an egg I couldn't bring myself to throw it out. Now we saw two baby pigeons grow up over the past couple weeks (they are not that cute).
“Keep using the Whisper Technology” at 22:47 hahaha
I will definitely put this puzzle on my list to try soon - it was amazing how it all worked out. I particularly love a puzzle that has some back and forth across the grid as one set of deductions leads to another and then another. Your enjoyment of the puzzle, Mark, is contagious. And thanks for the pigeon story!
What a delightful solve path. This one will be added to my list of puzzles to re-do :P
What a clever puzzle. Incredibly enjoyable
1:29:31@#2175. I came very close to giving up. I figured out how the 5s were restricted, but it took me longer to recognize the significance of the 4s and 6s as well. It still wasn't easy after that, but I did defeat it in the end.
This was such a brilliant puzzel, hats of to the cobstuctor and to you as well, it was fun following along.
howdy! Mark, I really like your solves, but I can't tell if a puzzle is doable by the length of your videos, sometimes a really hard one you have a master insight and bam, it's done in 30 minutes, or an easy one you struggle like crazy (or you made a mistake early on and you have to essentially resolve the puzzle), thus the running time is longer than the expected difficulty
this is an example of a puzzle I wouldn't be able to break in, not to mention all what followed afterwards in the solve, yet you solved it in less than half an hour
but I really love the way you explain your solves, thanks for sharing with us!
That was a lovely solve Mark. I do wonder if there was an easier disambiguation of rows 1/2/3, but great to watch all the same.
Fun puzzle, really clever. Thanks for sharing it.
I heard somewhere that pigeons are actually creatures that we brought around the world and domesticated to the point of not being able to survive without human intervention, and then we abandoned to themselves when they weren't useful to us anymore 😢 don't know how technically correct it is but it's so sad
CasualGeographic did a video on this I think.
Very beautiful puzzle.
Update on pigeons from time to time please.
Super smart way to deduce the 456 in the start and where the 4 is in box 1! Thank you! 🤗
Can we talk about how even when Mark wears a hoodie, he has a collared shirt underneath?
Fun, thanks, I liked the box 4/5/7/8 shenanigans in particular.
42:38 for me. Nice puzzle!
Really enjoyed the elegance of that one.
Beauty of a puzzle.
I took a completely different approach, then found myself stuck on finalizing the B1 left whisper line... but then it appears that I was on the right track, only I made a mistake locating the 5 in B5, which I put in R4C6 after trying different coloring schemes to track 5's and found one that gave the least ambiguity.
_"I am actually starting to adore this puzzle"_ (Mark @15:51)
I adored it from start to end, although I used a different approach to break-in (see my separate comment for details).
_"Isn't that gorgeous"_ (Mark @ 16:52)
Totally‼ 😏👍
_"This is absolute _*_poetry"_* (Mark @17:29)
It truly is‼ 😏👍
_"There are puzzles where you sometimes get the feeling that you've suddenly looked right into the compiler's mind. For me this is one of them."_ (Mark @20:19)
It definitely looks that way. Your solve was *awesome.* However, in this case the compiler might have used a permutation of *Phistomefel's ring* that can also be used by solvers as a shortcut to break-in (again, see my separate comment for details).
In this puzzle you could have used a variant of the Phistomefel ring. To see what the equivalent sets are, as well as how to prove it, highlight columns 2,3,4,5 in one color, and highlight boxes 1,2 as well as rows 6,7 in the second color. That would give the GW squares in boxes 4,5,7,8 one color, and importantly, it would show that R6C1, R6C6, R7C1, and R7C6 can't have a middly digit.
Yes, a permuted version of the ring. I used it as well. It was very well telegraphed by the constructor (at least for those solvers who are familiar with ring permutations.)
I am actually surprised that the puzzle can be solved without it, but Mark did it brilliantly‼
@@Paolo_De_Leva Since the theorem is based on sudoku, I find that it usually is not necessary to solve the sudoku. I consider it a shortcut which avoids some more complicated sudoku.
32:14 Having identified (8:33) that there must be a 5 in R2C5 or R3C5, this eliminates the possibility of 5s in R6C5 and R7C5.
Nice logic
00:52:29
Terrific
Truly *gorgeous* geometry. 👏👏👏👏👏
One of the smartest and most beautiful permutations of *Phistomefel's ring* I have ever seen (see below for details)‼
Thank you *Arbitrary* for constructing this puzzle so masterfully and thank you *Mark* for selecting it.
The ring permutation is revealed by the *4x4 German whisper squares* in boxes *4, 5, 7,* and *8.*
As usual, you just compare two sets to build the ring, and delete the cells where they overlap:
🔹The four columns containing the 4x4 squares (columns 2,3,4,5)
🔹Boxes *1* and *2,* (the "empty boxes" above or below the 2x2 squares) together with *rows 6* and *7.*
I see Mark did not use it.
See also Simon's explanation of the Phistomefel's standard theorem, for instance in *"A Sudoku Secret to Blow Your Mind* (by Numberphile).
For another elegant trick to make this solve easier, see also *@markp7262's* comment in this section.
3 and 9 already being forced into row 1 of box 3 means 8 can't go there as well because it breaks the green square
i got the break-in ... and then must have messed up pencilmarks in the endgame and wasted an hour before i caved and started bifurcating, then i discovered all my bifurcations failing! so i restarted, and second time through it all came together in 17 minutes... that break-in was fantastic though.
21:45
mark makes a mistake, and still beats my time by a factor of 2
02:09:40 - to be fair I was quite disctracted :) But we made it!
If blue is 4's and 5's then there's two 9's in row 6 😝
1:01:19 - Rather longer than it should have been but very enjoyable nonetheless.
Warning!
Don't get on the wrong side of a pigeon. They'll organise and coup....!
17:28 for me. Nice puzzle!
24:29 for me
16:28 for me.
Empty rectangle!
When?
@@Paolo_De_Leva Don't the 4,5,6s form empty rectangles in boxes 4,5,7,8 or do I misunderstand empty rectangles
@@BryanLu0 I see what you mean. I actually cannot confirm they are, because I cannot remember their definition. I learned about them a lot of time ago when Simon used them, but then they were never used again...
Pigeons are delicious.
🐦🥚🥚🐣🐣😊
0:17
There's that word "arbitry" again (from both of you now).
Isn't that "arbitrary" (a four syllable word) said as three?!
Sort of the same thing as you saying "secretree" for "secretary."
This is no big deal (because we know what you're saying), so the next part, I'm only going to show your "three syllable'' version.
Try to guess what this is:
"Tope ya ree"
"My 'tope ya ree' is getting overgrown."
Do I mean the louvered widows of the basement "getting overgrown," or the base of a flagpole "getting overgrown" or even an unusual term for the brickwork outside that is "becoming overgrown?"
Which one?
(They're saying "tope ya ree" mind you)
Guess what?
It's "Topiary" (a 4 syllable word).
[A trimmed/sculptured bush/tree -- or even hedges ]
How is anyone going to get "topiary" from "tope ya ree?"
If you couldn't guess thru those top 3 (and anything else in the yard the person could have been referring to), "tope ya ree" is not understandable to a stranger.
Friggin "tope ya ree."
(That's where you can stick that "arbitry.. and secretree..")
Yeah, with glee..
Jeez.. 😂
I'm serious, folks.
The very 1st time I heard "tope ya ree" was on WILTY (Would I Lie To You?).
Rob Brydon hosts (and David Mitchell and Lee Mack are team leaders).
Rob Brydon was saying to Lee Mack "tope ya ree" (and even Lee Mack repeating it back to him).
Then Rob Brydon saying Lee Mack is confusing it with "potpourri" because it sounds the same.
(No mention of what "tope ya ree" was -- totally off the subject in other words)
I had to look in the comments to see what "tope ya ree" was.
They were friggin saying "Topiary."
I had a neighbor that was going to topiary two apple trees he planted right next to his vegetable garden (he was going to "topiary" them flat -- lines all hung to tie them flat -- and he was going to prune/cut anything growing straight out over his vegetable garden and over his lawn)
Flat
I'm not kidding.
He said "topiary" though (not friggin "tope ya ree").
"Topiary" (pronouncing each syllable -- so 4 syllables) is understandable , even when the "trees" weren't even planted yet (he was stringing the lines before planting the saplings).
"Tope ya ree" would have been totally misunderstood.
I wonder if Mark or Simon says "tope ya ree" like Rob Brydon and Lee Mack?
Mark, take note.
Cheers (and Salute) .
In other words, Mark (if I may make a suggestion) if you find yourself saying "tope ya ree," back it up by saying "tope e air e" - "topiary").
That way you'll be instructive. (not confusing)
Salute again (and Cheese and Cheers to ya).
I am having to reboot my computer in order to get the videos to run properly. Is anyone else having this problem?