Sudoku 101: Hidden Triples
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- Опубликовано: 22 авг 2024
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Hi! We're Simon Anthony and Mark Goodliffe, two of the UK's most enthusiastic puzzle solvers. We have both represented the UK at the World Sudoku Championships and the World Puzzle Championships. We're also "cryptic crossword" aficionados. Mark is the eleven-time winner of The Times championship and Simon is the former record holder for most consecutive correct solutions to The Listener crossword. We hope we can help your puzzle solving while also introducing you to some of the world's best puzzles.
Thank you for watching!
Simon and Mark
I did it, I did it, I really did it. Took me 2 hours, but I did it.
i'm about an hour in and came to the comments for help. About to watch the video. I'm stuck. lol.
Your comment encouraged me to keep going when I felt stuck at around 1 hour in and managed to solve it in 1,5 hours!
This is such a game changer, I'm so used to the classic methods you try. But as soon as the sudoku's become a bit harder you'll have to use these techniques which I didn't know before!
I'd love to find more of these informational video's on more advanced techniques!
Funny enuff ... I spotted the 3-5-7 to the left, but went "the other way around": I pencil-marked 3-5-7 in the bottom left box in the only three open positions and thereby got the 4-8-9 triple in column one, which gave a 9 and a 48 pair. Then I of course got the 1-2-6 triple to fill out the column, and I was "off at a smart trot"! (I think that is truly British!) 😊
Just over 25 minutes ... with a little whisky, a pouring cat and Mozart in the background ...
I don't go for speed and lean heavily towards logic (like you) compared to fill out all possible candidates or guesswork, brute force or what have you.
I have learned soooo much lately: DANX a million for these instructive and inspiring tutorials!
I haven't dabbled with anything BUT classical sudoku, so: KEEP'M COMIN'! 😎👍👍
I may be the only one who thinks like this but I like to think of it more like the 3,5 and 7 "slicing" the flank in box 7, forcing a 3,5,7 triplet in the triangle-shaped sets of 3 cells to the right of the flank. This in turn forces a 4,8,9 triplet in said flank which in turn forces a 1,2,6 triplet up in box 1 and 4. Same trick, just a different explanation and way of visualizing it :)
I really appreciate the fact you let us play with the puzzle before you teach. Not that I could finish it or anything, but engaging and becoming familiar with it lets me follow your train of thought much better.
2:20 why do we know 1, 5 & 8 are forced to be in the 6 positions? i can see that there's a 1, 5 & 8 in the 7th column, but only 1 & 8 are present in column 9. is it simply because we know the 1, 5 and 8 in box 3 are not in row 8, and therefore must exist in the other positions in row 8?
Excellent tutorial! Many thanks.
I made too many errors, was trying to race ahead and use your tutorial as a foundation. Please do more of these remedial videos
13:28 "And now we are starting to cook with gas". I didn't realise that people still said this. Nice one!
I like this video and how you took extra times to explain the triple. Very helpful!
11:24 - My only "cheat" this time was looking at the title and trying to spot said "hidden triple". Got something out of the first column almost instantaneously and everything is good afterwards. This is one of my luckiest fluke solves I think
Mark, you are an excellent teacher.
That's Simon in the video :)
I feel stupid. Simon, I apologize. You are an excellent teacher. TheWtfness, thank you for the correction.
Wow, this is an extremely powerful logical tool. They don't even have to be "hidden". You can apply the same logic even if you have more than 3 numbers in a 3x3. Learning this technique has seriously upped my game.
10:03! Very clean puzzle, the 357 in the first column unlocked it for me.
It it fun to have you show the new trick, then pause and go solve the puzzle. I was really stuck before you showed the 1/6 triple on the left.
25:43 Finally was able to finish one again. I only used triples once i think, but did have a lot of doubles
25:50 yay, really get a kick out of doing these on my own. Need to keep going.
26:10 It might be the first time I've finished a Times puzzle without watching your solve
Your triple was better, but I was proud of myself for noticing right away a hidden pair in column 7. The given 4 in row 5 combines with the given 2s in rows 4 and 5 to put a 2/4 pair on the ends of the column and a 3/7 pair in the middle. That gives a few digits.
Corner pencil marks: show which cells could have specific number
Center pencil marks: show which numbers could be in specific cell
Oh god I'm so bad at these. Took me almost an hour and a half, with several long breaks during which I reflected on my suckitude. Never found a single hidden triple, and it was not for a lack of looking for one.
People talking about various 357 triples in the first column/bottom box; what I found eventually was a 48 double in the same spot; maybe it amounted to the same thing?
Edit: That 48 double was there from the very beginning! Column one rows 8 and 9. 1, 2 and 6 ruled out by the cell, 357 by the column, and 9 by the rows. Same thing as the people in the comments, same thing as Simon found, just another aspect of it. I don't know why these things are so hard for me to find. Like I said, I looked in several "open flanks", having been introduced to the concept in an earlier video. I think I just gave up too early. Figured I would come back to the idea later and wound up never looking there, at least not in quite that way.
Pretty sure I'm going to continue to stink at this. Logic I'm OK at, but pattern recognition is not my thing.
VERY persuasive demonstration for the advantage gained by seeking hidden trips BEFORE looking for unique or paired restrictions in 3x3s. Count me as a convert!
I am still a relative beginner/intermediate and I'm not good with triples at all, but I think I would spot that pattern - I think it's what my Sudoku coach calls a "cleaver" (an upside down one !) Thanks for the "uniqueness" point at 15:30 - that is something I had not been able to resolve before.
48 MINUTES, so happy. first time to complete a NYT hard in under an hour :)
I really enjoyed playing the sudoku in the link. (I started playing the sudoku before you got to the full solution) It took me 49 mins and i came back to leave this comment. Great video! And thanks for the tip about how to eliminate multiple solutions.
Before I wasn't good with spotting hidden triples. Thanks to your channel. I was able to improve my scanning skills.
My time is 15:11.
Got it in 21 minutes, but probably would've taken longer if I hadn't thought about the title of the video for a moment. Awesome puzzle.
Commenting before view. 19:16. Title was a big help of course. Took me awhile to first find the 126 triple in c1 (since I solve methodically), and it unlocked the puzzle fairly quickly after that.
Simon, you are a great teacher, thank you for these break-down videos.
Something very useful to look for, which is both easy to spot and easy to remember. Thanks!
Concerning 1,5, and 8, I'm confused with the initial logic. Why can't 5 possibly be in r4,c9 and r6,c9? I can see the rest of the initial assumptions work for the other numbers. Thanks for any help.
Indeed, and also r7c9
@@jurjenvanderhoek316 Yes that looks true too. So why the statement 1, 5 and 8 are locked into the middle column?
5 actually IS in r4,c9. He misspoke. The actual triple is the 162 in c1.
It took me quite a bit longer to solve this one, without using any advanced techniques and interestingly, the digits arrived in almost the reverse order. I've used the "open flank" technique before without knowing what it was called but didn't spot it here. So this was a good reminder, Thank you.
That was a fun puzzle. It's cool when I watch the video back and find out that I followed almost exactly the same logic throughout the solve. Unfortunately the logic was at about 1/4 your speed.
I saw it the other way round: the 3-5-7 in the first column forced their placement in the lower left hand box which in turn meant that the 9 in that box had to go in the first column.
Yeah, the lack of explanation of how the 1-2-6 is "forced" as a triple is severely lacking. The 3-5-7 combo however, *does* force the 1-2-6.
I think he has this technique exactly backwards.
Great tip. It's not something I look at normally.
Did it with you in the beginning! Until i got up and running on my own. 27:37! Best time so far!
Found the triple using 357 on the first column. Took just about 10 mins.
37 minutes! But I needed Simon to show me the hidden triple first.
45 and same
Holy cow. That was an excellent tutorial. 17:43... New technique learned. Thanks and truly appreciated
Ditto. I've been pretty familiar with most of your standard techniques up to this point, but this is a new one for me that is already paying dividends. Very much appreciated.
Simon - Sudoku is physically demanding .. proper hydration and electrolytes can cut down on cramping (winking emoji)..
Magnesium tablets'll do it
Would it be possible to make a video explaining the different types of "triples" as I still cant get my head around it
34min18sec
Heeey, the second Puzzle I solved since I started watching this channel, and more or less the first because on the one before that I "guessed" 2x...
Now I'll watch the video and find out what Simon means with Hidden Triples, of course I used what I learned over the last videos, but I didn't really notice what of the things I found are called "Triples" (maybe all those Pairs?)
Just happy that I did it, without the knowledge from the last 20-30 videos that I already watched on the channel, I probably wouldn't have had what are the requirements to solve it (also it can be a bit of a demotivation to keep trying the easier Sudokus on the channel and never quite solving them, so that's a motivation-boost to keep going).
Thank you so much! I was stuck in a bad habit of having more numbers than I knew what to do with in my cells. Even with my glasses it was a nightmare. Your method has opened my eyes and helped me out quite a bit. Now I just need to be a bit more detailed so I know to go back and check as you mentioned in the video.
I heard about your app and just purchased it. It looks awesome.
Excellent tutorial! This tip is a game changer.
Very useful tip. I will be mindful for these hidden clues for the future.
Love the channel. Falling in love with Sudoku. I Like to try the medium and hard NY times puzzle with mixed results. How can I put pencil marks in centrally and in the corners. Thanks for your help.
Michael.
Saw that triple in C1, but didn't realize that the 4 was now a hidden single in C2. Once Simon said that I was able to finish the puzzle with a blazing fast time of 45 minutes.
13:02 My first time finding one of those hidden triples in the wild! helps that the video title clued me in to looking for it but still really pleased with that time. I was actually extremely surprised when i finished and found i was under 20 minutes!
Learning new technique is very helpful
I always look for triples, and I got the right one, except that the rest of the puzzle took me an hour! He just accelerates at such a blinding speed...
I used this technique for one puzzle in the Classic Sudoku app. It solved very fast for my standard and after the solve, the app asked if I spotted the two Swordfish that it was designed to train. No I did not. This technique solved it easliy anyway.
You looked at the central box for the first example of a possibly useful hidden-triple. You decided that example wasn't going to be helpful, so you switched to the second example. However, both column two and column three already had a 2 in them, so the '2' for row six is proved to be limited column 8 and 9. So that was somewhat useful. Not as useful as the second hidden triple, but it was a little bit of help.
11:03 "It's definitely worth getting into the habit of making both types of pencil-marks." That comment was directed at Mark (as well as anyone else who might need it), wasn't it?
2nd try - did it in 25 minutes. Delighted!!
28:46, making progress!
Hi, long time CTC fan. One question I've never asked is why so many key presses on these older videos to enter a single number. Don't get me wrong I actually really like it.
New technique for me. Thank you very much.
Another easy one for a confidence boost. Mucho Burundi
Ah, yes really easy one, just one pair & rest was singles.
Excellent tutorial!
01:36:06 solved 👌
Another thing about the first triple found is that automatically there is a 489 triple on the lowest three cells of that column which in itself can easily lead to resolving the nine.
You are VERY instructive. Many thanks.
Took me 3:58 after importing and building the candidate list. Nothing harder than a few X-wings, but still a nice puzzle!
15:45 I have a Sudoku Book where there was a sudoku puzzle that had two solutions and the two numbers were 6 and 8. Just like how you talked about the 3 and the 7 could have been in either spot, the 6 and 8 was just like that in the Sudoku book that I have and it was in either spot that it could be, so that is why I cant rule a number out just in case that happens again to where there is two solution puzzle, and it was a puzzle where if you turned the puzzle upsidedown the start pattern would be exactly the same as it would be rightside up, so not upsidedown.
Several great advanced techniques in this video! Thanks!
31:08, which is pretty good for me!
Simon is already incredible at Sudoku but if you watch this on 2X he is an ABSOLUTE GENIUS!!!!!
41 minutes 56 seconds. Not bad for me. THanks for the tips.
Nice. Thank you.
"Take a look at the Richard ???? puzzle if you haven't already." Interesting idea. Unfortunately you haven't provided a link as far as I can tell and that isn't enough information for me to successfully search for it.
Apologies, I think there is a Card at the beginning of the video. It's this puzzle:ruclips.net/video/9D52vymi_v8/видео.html
35:29 with a break in the middle to do a couple things. Probably could have been a bit faster had I not spent time in very beginning trying to find triples.
I'm not particularly great at these, but this puzzle was pretty easy, imo. Started with the 48 pair in the bottom left & the naked single 3 in R4C7.
Used 1 x-wing in the puzzle, but otherwise it was all basic pairs & singles. Didn't use ANY triple.
@@Mephistahpheles Yeah, not needed, but I think he used this because when it was sent in, he saw a triple on the left side that easily illustrated the technique. He did say it was an instructional video to help intermediate solvers.
@@alicelaybourne1620 Yup. I certainly appreciate it. As noted, "I'm not particularly great." Every bit I can learn is good.
This is pretty much my only source of sudoku education, and I know I'm improving, thanks to Simon, Mark and audience commentary.
I've been trying to do the NYTimes hard puzzle every day lately, today's was no trouble but this one I struggled through quite a bit
The part where you do a big chain solve in a row was fun
13:29 and I'm proud. Thanks for the excellent explanations :)
33:19 on the second attempt - I got some 2s and 4s scrambled the first time around!
a little under fifteen minutes for me. A nice example of why two different ways to mark is a big advantage!
I learned something today! Today is a good day.
Where can I find the Richard Stolk puzzle, pls?
I am not sure about this method, where is the right place any chance you can add more videos explain where is the suitable locations I am training to use I am making many mistakes, Thank you Rudy
Nice technique, seems so simple. I hope you create more videos like this one.
very helpful thanks
Your explanation illuminated a 2 in the very beginning that ended up being one of the last squares you solved. Strange.
i'm surprised that the first digit i managed to place on the grid 5 u placed all the way at 11:10! :)
either way, nice fun puzzle! kinda gave up after a bit, but re-attempted it after watching your explanation "hidden triples" and was able to solve it from there!
Very helpful and well explained. Thank you.
I spotted a 3,5,7 triple in the bottom left box for placing the 9 he is starting with :) Different triple same result.
Listened long enough to get the hint... stopped the video before you got there. Started my attempt, spotted what "I wouldn't have spotted otherwise", and completed the puzzle in under eight minutes (and only pencilled in definite pairs/triples, no corner marks at all). Just goes to show that the approach is all important. Plodding may have got me there, but it would have taken much longer... so frustrating !!!
You only need to spot the triple in column 1, bottom left box, gives the 357. Then the rest falls into place. Took me 14:46 before watching the video.
Thanks!
Nice tutorial! 17 mins for me
I do like Uniqueness patterns. I’ve been solving some challenging Masyu puzzles that rely on uniqueness to solve them.
kakuro too, I use uniqueness there a lot!
Can I know why don’t you go number by number when starting your search? For example start with number 1, mark or fill up all possible boxes, then move on to the next number and so on?
Hi, is there an Android app which allows centre marking? Is your app software available on Android? Thanks and 👍 for the great videos.
I did this one without any special techniques. For once. I guess those hidden triples weren't hidden enough!!
Is there a way to notice naked singles? I always end up needing all pencil marks to notice them, as soon as it gets a bit complicated with 2 numbers just pointing there
I would love to get into the habit of making both types of pencil marks but unfortunately I haven't found a normal sudoku app that allows it.
Very helpful. Thank you.
Great tips!
Another great lesson
Good evening, Can we succeed a Sudoku of all levels without detecting hidden triplets ?, I have trouble recognizing some of them, at least for the hidden ones.
Soduko 101 Hidden Triples. What do you do if there is not a 4 or 8 at all on the game before you start? So what does that do to column one?