Sudoku. Lesson 23. Review. The swordfish pattern
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- Опубликовано: 11 сен 2024
- #sudokuguy #sudoku #learnsudoku
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The swordfish is difficult to spot. It requires you to put all possible numbers in empty cells, which is a lot of work.
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This puzzle can be solved without the swordfish. Look at this video as a demonstration of the swordfish. It is possible to solve this puzzle without using the swordfish technique. I used this puzzle to demonstrate how to spot a swordfish pattern.
It has been pointed out that ta 2.30 I could have eliiminated the 6 at the top due to a 6 being below.. Thanks to "reconllc" for letting me know. I should have explained the blocks 1 2 and 3 and left out the rest of the numbers below. Also you will probably see that I put 2 ones in block 8. My mistake. It doesn't change the secenario however. the ones could have easily be left out of the scenario.
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This is what RUclips was created for. I mean not just this specific video, but someone sharing their passion and teaching others about it. Thank you Sudoku Guy :)
Wow, thank you! Please let youtube know your thoughts
Thank you for explaining the swordfish thoroughly. This is the first time I hear it explained this way, and it made sense to me. I think the idea that you started with an almost blank sudoku, showing only the pattern we are looking for, made it really easy to grab this otherwise tough and advanced technique. then showing it in a puzzle, and the ramifications made it clear how to apply this technique. Thank you!
Thanks Colin
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X-Wing, Y-Wing, W-Wing, Swordfish, Skyscraper etc, etc. All clever techniques for solving those frustratingly difficult puzzles. Makes perfect logical sense. Spotting these structures is the real problem....
You are right. They are difficult to spot. With much practice you will start to spot them more easily. Hang in there
Maybe, but I've been playing this game for 10+ years, and thought I had mastered it. These new advanced techniques have brought me crashing down. You know what they say about new tricks and old dogs...
Thank you so much!!! Finally a clear and understandable explanation. . Especially after reading countless egregious explanations which words only fail to express. My husband and I just love your tutorials.... Daneé and Fischer
+Danee Cantalupo
Thank you Danee, you have made my day!
Thank you Suduko Guy for all your illustrative videos. Up to a few months ago, I thought the most difficult puzzles gravitated to finding naked/hidden subsets, which I found pretty tedious (downright boring). But recent exposure to the structural solving strategies (wings, fish, shashimi etc) has made the game infinitely more interesting to me. Your videos have been a great help in introducing the concepts. And yes, while these structures are not easy to spot, as with everything else, this improves with practice.
You are right. Well said.
You are a very nice guy and the best teacher I have had for many years, you teach in a fun and interesting and exciting way, my husband and I have learned so much from you, now I am not afraid anymore to approach Sudoku and I feel I can solve every Sudoku I'll see thanks to your technique, I'll deferentially will recommend your video to everyone I know!
Thanks again :)
You have made my day Irit.
Every time I see one of these techniques, I realize I can apply them to other puzzles, like Kakuro, and it makes me a better puzzle solver in general :D
Great!
you cant have your own theory lol
I think it's difficult to spot a swordfish earlier on. This one was extremely simple for demonstration purposes, but when I do really difficult sudoku puzzles, there are times when the swordfish isn't as apparent. Sometimes with what looks like multiple swordfish patterns. Obviously there is only one, but finding it is quite difficult, and I'd be interested in learning exactly how to spot it. Solving it is the easy part.
+Werewolf211 You are right..Many of the advanced patterns are difficult to spot. The only thing I can suggest is to do many of them. Practice helps. They are difficult to spot in that they can appear both vertically and horizontally.
You are right. Therre are many advanced techniques which are difficult to spot. The more advanced puzzles you do the more easily it is to spot them Hang in there
I did my first hard puzzle today, owing to your excellent instruction. I have only been following you for about 3 weeks, so I have much improved. The puzzle wasn't that hard, except for the fact that there were only 2 numbers in the bottom blocks.
Wonderful and congratulations. If you go to the link below you can learn because the videos take you step by step. Here is my channel page.
ruclips.net/channel/UCd8JaOdfEWcJOtwG6YayW0w
Lesson 23 shows a pattern called the "swordfish". This pattern is hard to spot and is rarely used, however if you are stuck on a difficult puzzle this may help you get to the end of the puzzle with success.
Watch Sudoku Guy as he demonstrates on RUclips. Suscribe to RUclips, because he plans to add more tutorials soon.
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Thanks for your clear explanation.
My program doesn't seem to need it. Can anyone point me to a Sudoku they only solve using this or any of the other advanced techniques?
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Sudoku Guy has xxc
If you are using a computer program then you are not doing the puzzle fairly
I found a swordfish and I was so happy but I couldn't take away anything though... Process none the less!!!
Progress is exciting isn't it.? they are tough to spot Well done Yuna
Dear Robin,
Today I took the longest time to solve a Sudoku Puzzle (the timer shows 80 minutes and 20 seconds). Well, it is not telling the truth I restarted the clock too many times after pondering too much on the mess in front of me. I started consulting your lessons again and as it turns out, I had missed a cleaver. I want to say something that I should have long before: Thank you.
Gee Thanks Iman. sometimes it is good to go back over videos and tutorials to refresh you brain re technques and tricks. So glad you found my site."the most popular site on line to learn sudoku" Please tell others and subscribe and click the bell by the subscribe button. Have fun as you learn step by step how to solve. You can view all of my videos here:
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Sudoku gGy is the best... so patient and clear. Glad I found this channel:)
So glad you found my site."the most popular site on line to learn sudoku" Please tell others and subscribe and click the bell by the subscribe button. Have fun as you learn step by step how to solve. You can view all of my videos here:
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after getting some basic techniques like snider remarks or x wing, swordfish was the first intermediate technique that helped me a lot! took me a while to get it is just an x wing on steroids, this video gives a great explanation (as usual!) ❤
Gee thanks. Please tell your friends. Robin
Yours seemed the most lucid description of the Swordfish in sudoku. Yet a dunce like me fails to see a Swordfish pattern, even when pointed out one in solved puzzle.I understand, 3 rows each containing 2-3 positions for the same candidate must be crossed by 3 colums
good observation.
In a swordfish, each column or row should have only two numbers in a square. For eg. 19 & 19 in column 1, 19 & 69 in column 3 and not 169, 29 & 69 in column 5 and not 289 or 689. Not very clear why you take only 2 digits with one of them 9.
You are right. Idid this puzzle in my early years. thanks for your comment. I had not learnt the synder notation at that time. You are the first to point this out.
So there should not be more than 2 numbers in a square for Swordfish. Am I right?
Best Sudoku teacher. Thank you from Canada.
Wow, thank you! Mark. So glad you found my site."the most popular site on line to learn sudoku" Please share with others, subscribe and click the bell by the subscribe button. (It’s FREE) Have fun as you learn step by step how to solve. Below is my home page with all the videos listed.
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Your videos are awesome. Thank you very much for putting so much effort in making us learn how to play better. You really are a teacher. Greetings from Brazil.
My pleasure! So glad you found my site."the most popular site online to learn sudoku" Please share with others, give me a thumbs up below the video, and subscribe and click the bell by the subscribe button. By doing so you will be notified by youtube when I upload a new video. (It’s FREE) Have fun as you learn step by step how to solve. Below is my home page with all the videos listed. ruclips.net/user/sudokuguy
Thanks I'm so glad your videos are here to help me figure out how to work these puzzels.
Happy to help! Sheila.
You're not stuck though, there was never another place for a 7 on the bottom row and the whole thing resolves without using the swordfish.. I can find swordfishes in my sudoku's when I'm not stuck, but when I'm stuck I can never find them
You are right. the more techniques you know the more likely that you can find more than one path to take in order to solve. this was a teaching video for the swordfish. So glad you found my site."the most popular site on line to learn sudoku" Please share with others, subscribe and click the bell by the subscribe button. (It’s FREE) Have fun as you learn step by step how to solve. Below is my home page with all the videos listed.
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Good explanation of the swordfish, a closed circuit. So everything else in those swords is eliminated.
Yes but only if they are part of the swordfish.
love your review vids, because they help me remember how to do the things you say in Sudoku puzzles. since I watch like 6 hours of your vids a day. thanks!
hang in there and have fun. Master the simple puzzles first.
You didn't explain why the 6 in the 4x4 was a 6. I cant grasp why you can determine the central cell is a 6.
There is a 9 down below which eliminates the 9 in the 3X3 leaving a 6. I was assuming that you saw the 9 below.
@@SudokuGuy yea ... totally ignored the 9 below, simply because I was looking for a reason why 3/9, 6/8/9, 6/9, 8/9 would be intrinsically solvable for the 6 ... when it isn't.
I'm glad to find this channel & I'll watch your all lessons.
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Wow. I finally understand the swordfish! Thank you!
Glad it helped! Kim. So glad you found my site."the most popular site on line to learn sudoku" Please share with others, subscribe and click the bell by the subscribe button. (It’s FREE) Have fun as you learn step by step how to solve. Below is my home page with all the videos listed.
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Two thumbs up sudoko guy!
I need yo go over again to master it. Hope i can save t offline :)
Hows it going marites.
You always find a way to solve things. Thanks sudoko guy.
Glad you found my site."the most popular site on line to learn sudoku" Please share with others, subscribe and click the bell by the subscribe button. Have fun as you learn step by step how to solve. The link below will take you to all of my videos from easy to difficult.
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Brilliant tutorial!
I finally get the gist of the Swordfish.
Thank you! 😊
Tht's wonderful. The challenge is to spot it
Absolutely stellar video Robin ❤
Thanks for your support. Please tell others about my site. So glad you found my site."the most popular site online to learn sudoku" Please share with others, subscribe and click the bell by the subscribe button. Have fun as you learn step by step how to solve. For a list of videos go here:
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@@SudokuGuy I will!!
Thank you sir for your explanation, its very helpful
Thanks You will find many more advanced hints in my tutorials
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If I have this correct - The thing here that needs more EMPHASIS is the idea that the swordfish nines are part of a pair and also rows or columns. All other nines are not part of nines (even if in pairs) are not part of row and also columns. So, on the bottom row, the 1,9 and 6,9 combo, are not included because they are NOT in columns as well as rows and pairs (even though it is a given they are excluded because they are a 4th row-column and the swordfish is limited to 3)...........as I said "If I have this correct".
Youare correct.
The BEST so far. I use this technique too!
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man, youtube is a magical place
IT IS I Agree
I am learning a lot from you. 🙏🏻🙏🏻
Happy to hear that! azimeh. So glad you found my site."the most popular site on line to learn sudoku" Please share with others, subscribe and click the bell by the subscribe button. By doing so you will be notified by youtube when I upload a new video. (It’s FREE) Have fun as you learn step by step how to solve. Below is my home page with all the videos listed.
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The sample puzzle (from 11:40) is not a hard level puzzle at all: the 3rd cell in box 2 must be 2 because of the 2 in box 8, and the rests can be solved as easily.
duh. You miss the point; he is describing a technique not how to solve a particular puzzle.
Hi David. This was a teaching puzzle to show a technique.
The matched pairs of 9s in rows 5 and 7 would probably confuse things for me. I would have trouble spotting the swordfish.
The swordfish is difficult to spot I agree.
Nice lesson!
Glad you liked it! Please tell others. Robin
Hi, I just started to learn Sudoku, and after watching this video, which is very helpful, I am wondering, does the swordfish work based on the same logic as x-wing & y-wings? :) By the way, just a thought, I think it would be helpful to explain the reason behind how rules work too. Take care :)
It's all ogic.
Gonna have to watch this a few times to get the hang of this!
thanks Sometimes it is worth going back over and watching earlier tutorials
the way i have approached sudoku, its a mind memory game. i never put in little numbers in the squares. because you only play against yourself and it improves your memory.
You are right if you have a good memory. I agree, but when you get to the very advanced puzzles this becomes a huge memory problem.
It can be a good challenge, but gets very difficult in extremely hard or complex puzzles.
I have aphantasia and benefit from having a visual written out in front of me, whereas other people may be able to picture it in their mind.
I see in the middle that there's a 19 and a 289 that's not a part of the swordfish. Since there are 2 '9s' in the same column, shouldn't they be a part of the swordfish?
I don't think so because they do not line up with the other columns.
O man you are an awsome Teacher thanx
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At the 1:45 minute mark you indicate that the 7, 8, 9 can go in Block #9. I assume also that 7 can go in Block #3 and 8 & 9 can also go in Block #6. Is this correct? If this is correct then isn't that a lot of data that might not be helpful in solving the puzzle? For example 7 could go in 5 squares in Block #3.
+MrAnalogEE This was purely a scenario to show what could be done with block 9. You are right in that a 7 could go in 5 places in block 6. Even with advanced puzzles I suggest that you use the techniques I have taught earlier in the course which mention that you avoid putting all the possible numbers in until later in the puzzle..I hope this clarifies.
+Sheikh Guy
This was super helpful, thank you!
Glad it was helpful Faye. So glad you found my site."the most popular site on line to learn sudoku" Please tell others, subscribe and click the bell by the subscribe button. It is FREE. Have fun as you learn step by step how to solve. You can view all of my videos here:
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You are so sweet and teaching fine. But i am sorry that i couldn’t understand swordfish. Actually i canno recognize it when i am doing. Would you please tell more??
It takes time and practice to spot this pattern. so don't feel bad. Hang in there. More is coming.
I bought classic sudoku. What do you suggest when I get a hint and have no idea how you how you arrived at the hint. On number 40 do need to fill in every box with all possible to get a solution?? Not happy with classic for help. J
No you don't need to do this as it is not a reall puzzle, but a scenario just to show a technique which is by the way a very important one. I use it for every hard puzzle. Watch ny videos Here is the link to all of them.
ruclips.net/channel/UCd8JaOdfEWcJOtwG6YayW0w
Really nice tricks
It is amazing how many times I have used this over the years. So glad you found my site."the most popular site on line to learn sudoku" Please tell others and subscribe and click the bell by the subscribe button. Have fun as you learn step by step how to solve. You can view all of my videos here:
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thanks you are a great teacher
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Would the Swordfish work with 4 rows/columns having 3 places for the same number? I.e can you expand it as long as you keep the amount of unknowns per row/column fewer than the amount of columns? I'm imagining an analogy with determined differential equations etc..?
Yes you can have sword fish more more than just 3 swords. They are rare though.
Try doing suduko without annotations.
You will find that some puzzles say the puzzle is very difficult yet I have found that many of these can be solved without little numbers. However there are many really difficult puzzles where you may find it easier to use small numbers. See my tutorials from 25 onwards.
Great video.
Very helpful.
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I might be commenting this too early (as you might be explaining it later in the lesson), but aren't the 7 and 9 on the left column on the right side of right side quadrants wrong? (at 3:45) Either that or the 7/9 option that you have on the top right quadrant (bottom left square) is wrong
Sorry. If you go further you will see that there are 3 scenarios in this lesson Each set of horizontal blocks are not related to each other. The page is not a puzzle.
Thank you for the clarification :)
I salute you, sir
Thanks Solitude. Hang in there ! ISo glad you found my site."the most popular site on line to learn sudoku" Please share with others, give me a thumbs up below the video, and subscribe and click the bell by the subscribe button. By doing so you will be notified by youtube when I upload a new video. (It’s FREE) Have fun as you learn step by step how to solve. Below is my home page with all the videos listed.
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@@SudokuGuy Done!
So it's just 2 skyscrapers combined. If you know how to skyscraper you know how to swordfish. Super easy, thanks
Cool, thanks . Well done Ben. So glad you found my site."the most popular site on line to learn sudoku" Please share with others, subscribe and click the bell by the subscribe button. (It’s FREE) Have fun as you learn step by step how to solve. Below is my home page with all the videos listed.
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I'm using a Sudoku app and on the "medium" all 250 has red Cross and oh boy I found that too easy.
Many apps these days have not a good category re the difficulty. Try another app
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I keep struggling with the swordfish. Not this one, but the complicated ones like the finned swordfish, double swordfish, that kind of swordfish. I just don't get it!
I suggest you look at recent tutorials
AM I missing something? This puzzle at 2:11 is riddled with errors, and in fact is not solvable..
first,row two, given teh 6 7 8 in row 1, implies that 678 must be in the first three columns of row 2, as he notes, but the candidates in row 2 of the first three columns would be 78, 678, 678, not 678,678, 78 as he depicts, given the 6 already in column 1 of row 7. OK, typo, but sloppy. It get worse----the positions of the GIVEN entries, not candidates, of 7,8,and 9 in the last three columns present an impossibility in the first three row of those columns (call it a box, upper right). The existing 7's and 8's in the the columns 7 and 8 require that the remaining 7 and 8 in occupy the 9th column, both in that upper right box, confined to ROWS 2 AND 3, but that is contrary to the requirement that Both 7 and 8 occupy row two in columns 1 thru 3, as we first noted. I think it is clear that, in an effort to illustrate the techniques, he did not start with an actual puzzle, but instead made up what looks be a puzzle with some cells filled in for his convenience. Fine , for the purposes of his demo I suppose, but he is killing his credibility here. Good God man, clean this up!!!
Hi recomllc, Thank you for your comment. You are righte re the 6 in clolumn 1 You are also right re the last three columns in block 3. I should have simply shown blocks 1 2 and 3 without any other numbers below. This is NOT a reall puzzle but has been set up to show a scenarios
This looks almost like the ultimate Sudoku puzzle. A 9x9 grid with nothing in it. You fill it out, but everyone's answer must be different.
Everyones path to take may be different but thee is only one correct answer.
Will it always be the same columns and rows?
No it could horizontal or vertical.
Hey Orville Redenbacher, you have two number 1's in the same box! Way to go, genius! Please more inane lessons that aren't, if you played this game for any amount of time. Still better than the last non-helpul Sudoku video.
Well done You are right. However it doesn't not change what I am teaching.
Sudoku Guy I was just messing with you! Hope you the best.
Please read what I have written under the video.
Sudoku Guy sorry I didn't read your comment pointing out your mistake, even though you posted it that way. I just don't get it, it's like teaching tic-tac-toe or tag. Maybe I just see it easier than your dolts. Just thought you had something,
8:26 start of *_swordfish_* technique
thanks.
Yeah I love this tutorial!
Glad you like it!
What if there are 4 noses instead of 3?
If I have understood you correctly, It still works if the there is a closed circuit
Ok thank you. Your videos are some of the best sudoku videos on youtube, thanks for your hard work! :D
Why you wrote 3 up and 8 down in block, actual answer can be other way round too. The only thing you can ensure is that the middle block will be 2.🤔🤔🤔
You are right. The 8 has many ramifications. 2 is just one of them.
Sir you're AMAZING 👌
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Am I the only one that's bugged that the bottom row has only one spot for the seven around 11:45 without using the pattern, so to me it's not a proper example of where the swordfish is necessary
You are right. If you read the description below you will note that I say this puzzle can be solved by other techniques. It is very common that if you know many techniques the swordfish need not be used..
Rows 5 and 7 also had only 2 9’s. Why are they not part of the swordfish?
They could be if they line up with he end of another sword. Do they?
@@SudokuGuy They do not. I apologize, this video was my first ever introduction to the swordfish, I didn’t realize they HAD to line up/intersect in 2 or 3 exact points. I get it now. Thank you.
Good video.
Thanks! they don't appear very often but are usually found in very difficult puzzles. All the best. Please give me a thumbs up below the video if you liked it.
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Skip to 8:30 for the swordfish to start
That OK if you know the first part. Later you will see in the description under tha video a chapter for those who are experienced. Look at tutorials 50 and ablove.
Thanks!!😁😁
No problem!! M M Shah. So glad you found my site. “the most popular site online to learn sudoku” Please share with others, subscribe and click the bell by the subscribe button. Have fun as you learn step by step to solve. You will find all of my videos below.
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Great video!
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Thanksss.. great explanation!
Mohamad Khair Thank you Mohamad, Please tell your friends. When you subscribe you will be notified when new videos uploaded.
The more you play the more you learn.
lol you
I've been able to solve the 'very hard/very tough' sudoku puzzles using things like hidden/naked subsets and occasionally an x wing, along with other basic techniques. I want to work my way up to solving the hardest puzzles there are, any advice? I don't understand the forcing/logic chain very well, or I've never found a situation in which I could apply it.
Suggestion; go to my tutorials from 20 up. You may find some neat tricks to look for.
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The swordfish is a very interesting technique, though I will feel a bit uneasy about using it, as I wouldn't feel confident with it. Also, I am going to be a bit pedantic here but wouldn't you have achieved the same result if you would have realised that the 7 goes on the bottom line of the bottom right quadrant by 12:00? ;)
Yes there is often several paths to take in orde to solve.
You don't need the swordfish to complete that.
+jakesprake You are right. It was meant to show what a swordfish is. There are often situations where you can solve a puzzle using several techniques. Sometimes you may miss seeing an opportunity to solve, however later in the puzzle you find another technique which helps you solve. The more techniques you know the better the opportunity to solve.
Sudoku Guy Yes I realised that after, sorry about that and thank you for making the videos.
zesT
R9C6 already shud have a 9(naked single) there cause a 9 can only come in that spot in 6th column(as per his markings)....I don't understand the use of swordfish...cause putting a 9 dere wud anyway solve the puzzle
Thankyou for your comment. This was a teaching puzzle to show a technique.
In the 1st example of this video there needs to be a 7 in the 5th row but you have no room for it. ??
By George!!!!! you are right. Thanks for pointing this out. It really doesn't effect what I am explaining.
cleaver ? äh fresh sudökü -the chef v v
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Swordfish 8:09
Please give me a comment so i can reply. Robin.
What you came for is at 8:30
Only if you are experienced
Wonderful, but i hope to make the video in more than one language
You can pick the language of your choice. See ruclips.net/video/ocYLlvrJqKk/видео.html This is found in several places on my channel page. See link below.o glad you found my site."the most popular site on line to learn sudoku" Please tell others and subscribe and click the bell by the subscribe button. Have fun as you learn step by step how to solve. You can view all of my videos here:
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@@SudokuGuy thank you sir
Somebody explain to me how he has two 1s in the middle 3x3 box of the bottom third.
?
Guess I am thick as a brick because I cannot follow the "swordfish". It just looks like lines.
I understand. This pattern does not occur very often. The only suggestion I can give is to look at the lesson several times. Sorry. It's worth looking at the review too. It takes practice to spot this pattern. Hang in there.
WHY IS THERE TWO ONES IN ONE BOX
Well done! Yes you found my mistake. One of the ones should have gone in block 7 cell 9. It did not effect what I was teaching.
Good
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very useful thx
+fatih oğuz
Thanks
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Puedes tenerlo en español yendo a este enlace.ruclips.net/video/ocYLlvrJqKk/видео.html
Thank you. ^^
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Your body hidden the board, can’t see the board
You are right. I try not to do that anymore.
What if you have 5-6 numbers that are in the same column...how do you determine the matching pair then...
The rule is ....if you have 2 cells left in a column after entering other big numbers, the remaining 2 cells MUST be a matching pair. If I have not answered your question please send me an email via my web site www.sudokuguy.com with a sample of what you mean.
Tomorrow (May 21) I will be uploading tutorial #50 which has some more rules about matching pairs.
If you have subscribed and ticked the bell you will be notified when this tutorial is being premiered.
That was a stupid theory on why it’s called the swordfish
Wasn't my idea!
This puzzle is not solvable, there are two ones in the bottom middle square.
You are right, I could have ommitted the one's However this is NOT a puzzle but a scenario.
it is very difficult to find it.
Yes you arre correct. it take a lot of practice to spot these.
@@SudokuGuy ok,I see.i mean is very difficult to find the model in practice.
At 1.30 , after he's told us where 5,3,6,8 and 9 are in the middle row, can someone tell me where 1and 7 are going to go? They have to go in the same cell. I stopped watching at that point. I'd rather have someone else explain the swordfish!!
You missed the whole point The 1 and 7 are not part of the scenario. They are part of the next scenario.
Is it impossible to solve a difficult puzzle if you do not understand this lesson?
It may be but it depends on how many other tricks you know how to use.
Look at tutorials #79 and above. All the best.
7:18 doesnat make any sense
Explain
You are so old but you are quiet intelligent
Gee Thanx Aayush So glad you found my site."the most popular site online to learn sudoku" Please share with others, subscribe and click the bell by the subscribe button. Have fun as you learn step by step how to solve. For a list of videos go here:
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Well I'm sorry but the scenario you presented showed a situation where two numbers had to go in the same cell. If you think that's a good way to teach people then so be it!
There are different sceanios. I should have pointed this out.
Please look below. I shoud have pointed where each scenario was .
Confusing, lack of logic, didactically poor
@@deletedchannel9945 this video, presumably
@@deletedchannel9945 You asked what Ferry Tadema was talking about, and I replied.
Do you imagine he or she meant another video?
Do you imagine I was expressing any opinion as to the opinions expressed in Ferry Tadema's comment?
Thanks Kim
Do it without writing anything other than the answer. We call your method: "cheating".
Some poeple will say that this method is called "if not this then it must be that" Please look at the tutorials for more information.
Cheating? Are you serious?