The (Fascinating) Sudoku With 20 Given Digits

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** TODAY'S PUZZLE **
It's always a good day when you get to solve a new puzzle by Aad van de Wetering - the brilliant constructor from The Netherlands. Aad's latest is fascinating - it seems like there's a lot of given information but sorting out the dominoes takes a bit of thinking :)
Play the puzzle at the link below:
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Rules:
Normal sudoku rules apply (ie place the digits 1-9, once each, in every row, column and 3x3 box.) Each 3x3 box contains 4 non-overlapping dominoes with the same sum. Sums may be different for different 3x3 boxes.
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31 окт 2022

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Комментарии : 287

@ButcherBB Год назад

I could _maybe_ solve these puzzles faster if I didn’t explain every deduction I make to an imaginary audience with a fake British accent

@isaacpianos5208 Год назад

I find it a great exercize to be sure

@Pigeon0fDoom Год назад

It's not just me?

@sondrasmith50 Год назад

I thought I was the only nut in this nuthouse! Thank you for making me feel better about talking to myself. 😂🎉

@aaronchagman Год назад

This is my nomination for 2022 Comment of the Year

@DarkChasm Год назад

Yeah another one here 😆

@Tinyturtletami Год назад

I love it when you tell us the secret. I heard it loads of times but each time feels special 😂

@davida1d2 Год назад

Shhh, don't tell anyone.

@chiarra644 Год назад

I actually got to use the secret doing my first sandwich sudoku yesterday

@josefinereisberger8222 Год назад

When i solve Sudokus at Home (like easy ones, i‘m not THAT good) i say in my head ‚That goes there‘ and I‘M GERMAN. I literally say it in english. I watch this channel way too much 😂

@Screm01 Год назад

I'm doing that too! Also German here :D

@chessburns Год назад

Oh absolutely! As we all do. I try doing the sudokus from the apps as if i was trying to explain it to someone n i just cant do it. How Simon and Mark do this is beyond my understanding. However that said. They have a knack for explaining the logic. The only reason i can even keep up with the logic anyhow.

@aldergreen Год назад

Same! I'm Italian and I find myself thinking in English!

@Hertog_von_Berkshire Год назад

Donner und bobbins!

@jonaclausson6698 Год назад

It's totally the same with me, german in normal life, Simon-english in Sudoku. And I can't fight it!

@inspiringsand123 Год назад

Rules: 07:11 Let's Get Cracking: 08:10 What about this video's Top Tier Simarkisms?! The Secret: 5x (08:20, 08:23, 08:31, 08:38, 08:38) Bobbins: 1x (26:20) And how about this video's Simarkisms?! By Sudoku: 11x (21:53, 23:20, 23:54, 27:49, 28:02, 28:07, 29:46, 30:16, 35:51, 42:10, 45:25) Ah: 11x (13:20, 20:32, 21:03, 22:17, 23:05, 28:18, 29:32, 38:01, 39:27, 41:02, 43:10) Beautiful: 8x (15:30, 29:22, 33:39, 38:24, 38:26, 47:44, 48:36, 48:36) Hang On: 5x (10:47, 15:02, 17:54, 19:15, 20:09) Sorry: 4x (05:53, 17:45, 24:46, 39:43) Lovely: 4x (03:32, 03:36, 23:10, 41:36) Brilliant: 3x (02:39, 05:38, 08:07) Pencil Mark/mark: 3x (34:18, 41:13, 41:19) Hypothecate: 2x (16:55, 23:08) Good Grief: 1x (19:06) Bother: 1x (36:38) Piece of Work: 1x (03:49) Elegant: 1x (47:54) Gooseberry: 1x (46:37) Approachable: 1x (04:12) Surely: 1x (30:26) Puzzling: 1x (03:51) Obviously: 1x (03:00) Whoopsie: 1x (30:12) Progress: 1x (43:15) Plonk: 1x (42:27) Wow: 1x (39:43) Cake!: 1x (06:05) Most popular number(>9), digit and colour this video: Ten (45 mentions) Nine (94 mentions) Orange (12 mentions) Antithesis Battles: Odd (2) - Even (2) Row (5) - Column (4) 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!

@wariolandgoldpiramid Год назад

whoa! bot, you are super fast!

@malcolmjohnson4414 Год назад

Thanks bot. Not everyone wants to know that Niblock and BreezyTrousers have a birthday.

@KajtekBeary Год назад

@@malcolmjohnson4414 its still cute tho

@tombenizrilevi4803 Год назад

You playing So Far Away made me tear up! You are a talented guitar player as you are an amazing puzzle solver and a lovely entertainer! Love you Simon

@adamheywood113 Год назад

Simon: And that's impossible, because what I'm left with in these two cells is... Me: A _FACE!_ Simon: ...not a domino Me: Mmm yes of course

@artham2676 Год назад

Well a face is not a domino!

@tangrybird04 Год назад

6:25 “Harrieb Al Sack”😂😂😂

@blobz-1 Год назад

Thanks for the 24th Wedding Anniversary shout out, Simon! My wife and I spent a lovely evening dining on home cooked food (a fabulous cottage pie) and watching Simon and Mark solve sudoku puzzles :)

@danibarack552 Год назад

Really nice surprise in the intro! I love Avenged Sevenfold and So Far Away used to be my favorite song when I first heard it!

@dutubarn Год назад

There is a very interesting way to see where the left over digit can be, if you checkerboard each box you will get 5 black squares and 4 white. Each domino contains a black and white square so the left over digit can only be one of the black squares.

@fornife5004 Год назад

I now want a proof.

@livesolhaug Год назад

So corner or middle

@livesolhaug Год назад

@@fornife5004 the white ones will be on the "middle of the sides" of the boxes, like the 1s, 5s and 9s Simon looked for

@geoff544 Год назад

... or 5 white squares and 4 blacks! 😉

@dutubarn Год назад

@@fornife5004 What I wrote is a proof that the left over digit can only be in the middle or the corners :)

@stevieinselby Год назад

I love Simon's doubt about whether he's missed a trick over if it's even possible to have a box that _doesn't_ have 10-dominoes, when we have had puzzles on the channel before that had four marked cages in a box that were all 9s, and four marked cages that were all 11s!

@r0bbiegill Год назад

I'm always impressed when I can do these puzzles without watching the video! It took me nearly two hours (1h 56m 8s to be exact), and I had a lot more pencil marks, but I'm still impressed with myself.

@michaelawilliams Год назад

I officially did one faster than Simon! This is a Great Day! I must call my mom, my family, and my friends! Woot!

@Breadumi Год назад

I managed to solve this before watching, and I'm amused that I went along almost the exact same path Simon did for the first part of the video. I even chose the same colors. Guess I'm learning a lot!

@WayneDupree1101 Год назад

From "AJ's Dad" - thanks for the shout out on my birthday! Updated the stats from Inspiring Sand too! Had lots of cake, thanks Simon!

@nervio2701 Год назад

did this in 21:48 before watching the video, i'm proud of myself, i first identified the possible leftover digits (1, 5, 9) then proceeded to try to disqualify some of them in the boxes and just went along, pretty fun puzzle

@marcosdiez7263 Год назад

I think I was able to cut corners with this one after realizing that a) you had three classes of distribution, leaving aside either the 1, 5 or 9 with tiles adding to 11, 10 and 9 respectivelly, 2) that the left over digit could be placed only on the corners or in the center of each box to leave a set of four dominoes, while the cells orthogonal to the central one only could be part of the dominoes, and 3) when the leftover is in the corner, the central cell must be part of a domino with an adjacent cell. So, in box 1 couldn't add to 11 because the 1 was orthogonal to the center, so it was either adding to 10 with the dominoes surrounding the 5 or 9 with the leftover 9 on either top corner, and then work with the candidates in either case, leaving naked singles (the 3 and 4 in the first box) or just two candidates in each cell. This heuristic helped simplify the entire puzzle.

@chris5619 Год назад

It helped Simon as well.

@somniferus Год назад

Ahh, this is a much better way to think about it, though its possible to solve without considering that directly. I broke into this puzzle is by considering r3c3. We know it can't be 1, 5, or 9, therefore it's in a domino attached to the either the 2 or the 1. That only gives us the possibilities of 7, 8 or 9, but 7 and 9 are already ruled out. So it's just a naked single 8 (which immediately gives the 3 in r1c2 as well). From there you can easily break into box 3, and then eventually work your way around the corners into the middle. Just considering which of the sums could be made using the few possible digits made each of the boxes a fairly simple self-contained puzzle.

@hisham_hm Год назад

I started with these same observations too! I think it was the first time I managed to solve an over-30-min-video puzzle without getting stuck somewhere halfway through... it took me about 55 mins to solve but it went rather fluidly!

@hisham_hm Год назад

@@chris5619 Simon eventually realized these things, but he realized them gradually as he observed them through the solve. But it's possible to note those things considering the domino geometry and sums abstractly from the beginning, and that makes the remaining solve a lot easier!

@robert-skibelo Год назад

Yes, this is the right way to approach the puzzle. But Simon can't do this kind of analysis. Once he eventually realised that the left-over digit can't be in the middle of a side he made rather a meal of it, and also had trouble remembering this discovery later on. He is not a systematic solver.

@Orenotter Год назад

My solves so much less time would take If to my audience (which is fake) My time was not spent In a British accent Explaining each move that I make. Thanks for the inspiration, Trevor.

@lodeisho Год назад

Omg, I'm so happy. Yesterday I tried my first, huh, complicated? sudoku, and I discarded a few I didn't even understand the rules for, but I went with this one. I couldn't do it. But today I watched the video, and a lot of my logic was right! I feel like I just got a little bit better at sudoku, thank you

@PlayingChello Год назад

Wow, really wasn't expecting to win the drawing, shocked me at midnight when I watched this! Really honoured, the game sounds so fun!

@diannecarroll2821 Год назад

Numerous times I've heard you express concern that one of your videos may be too long to enjoy. Not for my taste. I can select double speed and cut the time in half if necessary. And even when I can't solve the puzzle (which is almost always true of the puzzles with "long" videos) I get hours of enjoyment from the attempt. My thanks to you, Mark and the people who create the puzzles.

@AdamGaffney96 Год назад

I must say when I clicked on this video I did not expect Avenged Sevenfold and I absolutely love it! Simon can't stop being awesome.

@GrahamNicholson56 Год назад

Absolutely loved this puzzle. Realised very quickly that placing the remainder was crucial to tiling the boxes and headed on from there. Great work Aad, thank you so much!

@JASPACB750RR Год назад

One of the best songs ever written. Extremely emotional video, esp the end with the home movies and photos. RIP Rev!

@bkaozzz Год назад

18:57 for me, loved this puzzle and the logic behind it! Definitely one of my favorites from the channel

@VeritasUnae Год назад

What a neat idea for a puzzle. Yet again Aad is setting tremendous puzzles and Simon is solving them! Kudos

@Gonzalo_Garcia_ Год назад

15:55 for me. What an interesting puzzle!! Loved the ruleset!

@tiithendrikpiibeleht4092 Год назад

Caught on to the logic needed quite quickly on this one - and looking in top left corner also really got the thing going. Total time was 18:20. Amazing puzzle!

@HairyLoco Год назад

I love watching these videos and sometimes participate in the sudoku myself; what I always struggle with is the initial logic to go into this. The moment Simon said each domino could only add up to 9, 10 or 11 I already thought to myself I could probably never have solved this puzzle, because I couldn't even conceive that kind of logic. These kinds of impressive deductions are what makes all you solvers stand out, and ye have my respect.

@Salokin92 Год назад

What a beautiful rendition of So Far Away in the intro!

@haniapopowska8966 Год назад

I can't believe it...I actually solved this one!! 😲 It took the first hints from Simon and a buttload of time, but I did it!

@MJJ1390 Год назад

I rarely tackle (and even more rarely solve) the puzzles, but I was really happy that I remembered the secret when I did and used that to my advantage. 50 minute solve time made me feel really good about it!

@yoavhayut543 Год назад

What a fun and approachable puzzle. The first time I've been able to solve a puzzle without help from the video!!

@thesundancekid123 Год назад

An extraordinary puzzle from Aad, so elegant! I am really happy with my solve, took me 42 minutes. I first realized that only 1, 5 and 9 can be the leftovers, then that they must go into the middle or the corners which really helped. Made a little mistake in the beginning, from then on it went smoothly.

@RockyInSea74 Год назад

27:34 for me. I think Simon's aversion to pencil marking early on slowed him down. For example, in r3c3 for box 1, you can put an 8 at the very beginning. Because, either the box must have the leave-out number (1-5-9) or must join to 1 or 2. Well, 1 and 5 are already in the box, and 9 is in the row, so you know it joins with 1 or 2. to make 9/10/11. With a 1 or 2 you must add 7/8/9. 7/9 are ruled out by sudoku, so you know it is an 8. You can then pencil in the options for the rest of the box if it is 2-8 or 1-8. Most of the boxes let you do this.

@jackharrison5695 Год назад

8 is a powerful number with this rule set, I used the fact it has so few possible friends to make quite a lot of progress.

@markp7262 Год назад

29:22 finish. A very interesting concept. Excellent!

@ianpearse4480 17 дней назад

So cool. Thank you for sharing.

@drengskap Год назад

Well, that took several attempts and quite a lot of Saturday, but I did finally manage to solve it by myself, having worked out the possible domino totals and the possible locations of the spare digit, and I can't often say that about a puzzle with a 49-minute video, so I'm feeling pleased with myself!

@misofac Год назад

A very pretty rule set. It's quite easy to do the break-ins via the checkerboard invariant: if you color the 3x3 box like a checkerboard you will have five cells of one color (corners+center) and four of the other color, and as each domino covers one black and one white cell, the leftover cell will always be one of the five.

@legobil_ Год назад

The way dominoes tile a square with uneven cells remind me of the board game KingDomino (or follow up, slightly more advanced QueenDomino) where the players draft domino tiles to make up their kingdom in a 5 by 5 pattern with matching terrain types, and the starting castle can be somewhere in that pattern. The moment you tile a domino with the fifth cell in a row or column you lock your pattern in place and if your castle is then in the checkerboard pattern that align with the center square you can (possibly, if a little lucky with draft, draw and terrain types) tile the entire square, and if the castle ended up on the off-square you are doomed to discard at least one domino and miss out on potential points. A really simple and cool game, easy to introduce to kids from as low as 6-7 years and still provide adequate challenge for their parents! Also a great puzzle from Aard and great solve from Simon!

@jenniferlenfestey5335 Год назад

Great puzzle, approachable and interesting.

@th.nd.r Год назад

Loved the music, the setting, and the solving!! Such an original idea for a puzzle, I love the tiling trick with the problem of isolating a digit on the middle of a side! PS: two dominoes were left unconnected, and you never clicked check!

@AlmightySimian Год назад

Did anyone else notice Simon draw a screaming totemic head in the top right at 15:20? Just me? Cool Cool!

@Coyotek4 Год назад

43:12 ... another gem from Aad Wonderful puzzle!

@CaptainSpock1701 Год назад

I have now learned to click the like button *_before_* I watch the video. You get so caught up while watching that you sometimes forget. That's not fair on you guys!

@DarkChasm Год назад

~45mins. pretty cool puzzle, sounds so simple but it's really cool :) ❤❤❤❤❤❤

@aldergreen Год назад

Really nice puzzle, it took me 61 minutes. Now, I am a very beginner in sudoku that have a different set of rules from the usual, so my time is quite long. But I found this puzzle very interesting and pretty approachable for a beginner!

@codevii9063 Год назад

The moment when Simon missed the 9 2 logic in box 4, which was the same as he started the puzzle with, then immediately used the same logic in box 8. Made me chuckle a little. Love you Simon

@ServantOfSatania Год назад

48:50 for me. God bless Sven's software, the pen tool came especially in handy for this one

@janno1177 Год назад

45:50 "I havn't got [any] 11-boxes, I've just got 9-boxes [...]" yes, Sudoku is all about filling the 9 boxes! xD

@jananders93 Год назад

Never thought I'd hear a song from my favourite band in the intro of a CtC video. You guys just keep amazing me😍

@srwapo Год назад

34:11, I figured out that the digits not in pairs had to be 1, 5, or 9 only and that certain cells HAD to be in pairs or they would break the 3x3 box pretty quickly. It was fun after that, though a bunch of trial and error. And I had a stupid mistake in Box 7 at the end.

@evergreentree8042 Год назад

I had an error in box 7 as well.

@tiredmsudude Год назад

Omg he played So Far Away. I need more of that in my life.

@samplename5159 Год назад

Beautiful from all angles! One of my favourite ever deductions is r5c9 can't be 9 i found early on: In any single box 1 and 9 can never simultaneously be in breaks-tiling-if-spare positions, because then 5 is spare and tiles add up to 10 but 1 and 9 can't form a tile. Fairly simple, but signifies next tier of understanding this unique ruleset - granting me immense satisfaction.

@stevewithaq Год назад

Got this one in 37:33. Once I realized the only 3 options for the leftover digits, it wasn't too hard to figure out the corners, then the middles, then the center.

@JohnRandomness105 Год назад

I was astonished at how easy this puzzle was. I took it nice and slow, of course. It took me a little while to recognize that my usual starting practice of corner-marking digits in blocks would be useless. Filling out the six-digit rows and columns was considerably more useful. The domino sums (consequently, the spare digits) were severely restricted. The location in blocks of the spare digit was less restricted. Once I filled in digits (or pairs) I colored them, a different color for each domino pair. (Fortunately, I only needed eight colors, and not twelve.) This was useful with my memory issues -- I could identify the dominoes and see and recall what they summed to. 10:30 It helped that I first center-marked the digits in the rows and columns with six given digits. But after that, I did work around the grid with each block -- corner blocks first, of course. 11:20 In each block, I filled each cell with all possible candidates, then gradually ruled them out. (I don't usually this early in Sudoku.) 15:30 The spare cells are restricted to the centers and corners of the blocks. 23:00 Filling out the rows and columns will help. It seems as if Simon's making the puzzle harder for him than it was for me. 23:40 "We don't want to debase ourselves too early in doing Sudoku in Sudoku puzzles." Speak for yourself. As a mediocre Sudoku puzzler, I need every tool I can get. 32:00 No, two boxes are nine-sum. None are eleven-sum. 48:20 Yes, that restriction on the spare cells was critical. The END: Thanks for the video. And thanks for a puzzle that I found surprisingly approachable.

@maheswaraardhani323 Год назад

i can't believe i manage to solve this puzzle on my own and i notice a lot of unique things to solve this puzzle. still it took way to long for me to solve but in the end i'm glad i can solve it (79min). nice puzzle aad

@quothacreations3465 Год назад

48 min, not too bad for me--thanks as always Aad and Simon

@TurquoizeGoldscraper Год назад

44:31 for me - It took a few minutes to do the math and figure out that the odd number out must be 1, 5 or 9. 30 minutes in and I realize that the odd digit must be in the middle or on a corner.

@georgeaman1938 Год назад

Thank Aad van de Wetering and Simon. It was a nice and a special puzzle!

@chipsounder4633 Год назад

Great song choice, seen them at download and i cried when they played this. R.I.P. Rev

@titusadduxas Год назад

Just under an hour for me. Very different but most enjoyable.

@shalaz1981 Год назад

Was Simon throwing some major shade at Mark? 🌲

@ELStalky Год назад

42:47 - "I keep messing up my modes" Some trivia: That is called a "mode error" which is a prevalent issue in software development and engineering which has led to plane crashes among other things. (Sven's software is actually quite accommodating as it can be used in a modeless way as well - for the most part - by staying in digit mode using modifier keys for pencil marks, candidates and colors.)

@yichen6313 Год назад

Cute and delightful puzzle :D

@cluso9985 Год назад

Solved myself finally without hints by watching Simon. We won’t discuss times tho. Great puzzle! Love the rules 😃

@piarittersporn Год назад

Very pretty and enjoyable puzzle.

@lesternielson9280 Год назад

Superb!

@davidsalisbury50 Год назад

Took me 80 mins but did it on my own. Got the 1,5,9/11,10,9 relationship straight away. Realised the checkerboard 80% through and it became fairly easy after that.

@antoniskeris6042 Год назад

Wow for the first time ever I was able to solve a puzzle quicker than you, usually I don't solve thaem at all haha! There is a very easy way to solve the first digit. So in the top left 3x3 sq. We know that the domino is either 9 or 10. If it were to be a 9 there has to be a 4 at the 5's left, but if that were the case there had to be a 7 next to the 2 and a 9 at the bottom also. That is impossible so the domino sum is 10. From that we can easily deduce that there is a 9 above the 1, and the 3x3 is pretty much solved in half a minute. Keep up the great work!

@RoselynTate Год назад

I feel like Simon missed something very cool about the logic, which is that in most of the boxes, the positions of some digits are the same regardless of the eventual sum. In box 1, for instance, you can rule out 11 immediately, but then if you look at the possible positions for both 9 and 10 dominoes, you can determine that the positions of 3, 4, 8, and 9 are the same regardless of whether the dominoes sum to 9 or 10. And that pattern continues around the puzzle. This was such a lovely puzzle, I really enjoyed it!

@ColdIceCreamMan Год назад

64:13 for me, but I got distracted by phone and didn't pause the puzzle. I came really far until box 7 where I made a slip and filled in wrongly. I watched your video at this position and noticed my errors. :D I've done a LOT of GAS in the last weeks and now I feel comfortable doing bigger puzzles and this was a good entrance but I need to be a bit more careful here with too fast deductions. (leading to errors)

@angec9908 20 дней назад

I always laugh when Simon asks a question and I answer him…from a year and a half in the future 😂

@matejprochazka6243 Год назад

Beautiful A7X intro!!

@christianlett Год назад

36:07 for me, which is, by my standards, very quick, so I'm more than happy with that result!

@sylwia6476 Год назад

I thought about the same example in 3rd box… (when you read the rules about dominoes) insane!

@Kinada Год назад

90 minutes, pretty cool puzzle.

@ImaginaryMdA Год назад

Oooh, you use colors to mark the possible sums. Of course!

@ElPanaCanta Год назад

Man, that rendition of so far away caught me off guard, but I really enjoyed it

@craftyraf Год назад

Brilliant puzzle! 39:20 here.

@Tringard Год назад

I also used coloring for the sums by box and the line tool to track the dominoes with more marking of edges that couldn't join. But my solve path felt different, less cyclical than yours - for the most part just going from one box to the next and solving all but a pair. Because of that, the puzzle became less interesting over the course of solve after the initial break-in.

@Sidnv Год назад

If you think of the box as a 3 x 3 grid, and consider adding the coordinates of each cell, every domino takes one cell with even coordinate sum and one with odd. So the leftover cell has to have even coordinate sum, since there are 5 of those and 4 of the other. This is why the middle cells in the outer rows/columns cannot be the leftover cell.

@aleksandarristov6358 Год назад

38:47, actually proud of myself on this one

@Galahad54 Год назад

Weird. I figured out the tiling almost immediately, but still took almost two hours because some logic was off. Probably assumed all extras were fives, so required backtracking. Is helping with my logical think. Fun.

@brianarsuaga5008 Год назад

This one felt like pulling teeth to me! Very difficult. Felt like doing 9 back to back puzzles the way I did it. Then again, it took me 89 minutes!

@TTnarg1 Год назад

One way to think about the tiling is to colour it like a chess board with black in the middle so that you have 5 black squares and 4 white. Then understand that each domino uses 1 white squares and one black. Then your see that the left over square is always black. Maybe not a tool needed for 3x3s but a handy tool for thinking about larger puzzles.

@jonotick Год назад

Yay, finished this in 38 minutes without looking at the video once! I wonder if we followed the same path

@Shurtugal1427 Год назад

1:40 piney 😂😂😂😂

@DanielLearnsPiano Год назад

I usually judge how difficult these puzzles are by the length of the video. Around 30mins? I might be able to do it in 90. Usually when they are pushing the hour mark I know they are beyond me. However, I tried this one and found it pretty simple. There wasn’t even much sudoku. Still took my around 50 minutes which is actually good for me.

@beth7808 Год назад

I am hoping I get the app update soon. I am so impatient!

@gastonastudillo Год назад

One of the best intro so far

@rodgbise Год назад

Awesome A7X intro!

@francoisduez601 Год назад

19:54 Nice ruleset 🙃

@mathmethman Год назад

An early digit can be placed in box 1. The bottom right can't be the spare digit because sudoku eliminates 1 5 or 9. So it must be part of a domino pairing with 1 or 2. And the domino must sum to 9, 10 or 11. So the bottom right cell must be 7, 8 or 9 and by sudoku it's 8.

@deucedeuce1572 Год назад

It's not just the math that's amazing, but also the memory required to even be able to do the math. (the immediate memory to retain each symptom and then use those symptoms to diagnose and cure... because I can't think of the right words). For me that's the hard part. I have no doubt that these kinds of puzzles will improve your memory, especially short term memory).

@samwortham2385 Год назад

This was so much fun to solve, but it's late here so I'll watch the video tomorrow.

@ThePolymathlete Год назад

32:43 very fun puzzle

@geoff544 Год назад

Funny how minds differ - I started by working out that the only totals that can be made 4 ways are 9, 10 and 11. I also pencil marked the spaces in the given rows and columns which helped narrow down the possible dominoes.