Techniques for Starting Hard Sudokus

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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 twelve-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.
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9 июл 2024

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Комментарии : 232

@ericpraline1302 4 года назад

Aside from their prodigious solving abilities, I do envy Mark and Simon's ability to scan a row of 7 or 8 numbers and immediately know which ones are missing. I have to count up from 1 each time.

@chrisg6597 4 года назад

I have to do exactly the same. Finding naked singles, let alone naked pairs, can be somewhat tedious.

@TheJFerg24 4 года назад

I'm getting better at it, but it certainly takes some doing.

@bogbel1 4 года назад

Me too. I guess if you do enough of them you get better at it, although it does seem at times that it's just a special talent that I'll never have.

@Whatevsbabes 4 года назад

The way that I do it quicker is not by reading it but looking for the shapes, if it looks like the shape 6 is missing then that is it. Reading will slow you down.

@ericpraline1302 4 года назад

@@Whatevsbabes Yes I think that's the right approach but not sure I would trust myself not to mess up.

@punsandguns 4 года назад

"That's a naked single..." Made me check if my webcam was on again...

@crawfordsawyer7638 4 года назад

I'm a big fan of how clearly you explain what your steps are. It's a massive help at times.

@DevilishlyDutch 4 года назад

Grief that's hard! I feel like I learned something but I have no idea if I'll remember to apply it next time lol

@gposchman Год назад

Thank you, Thank You Thank You!!!!! I did it, it took me an hour, but I did it. Watching you and Simon has really paid off. I spoted a pair and it slowly led me to solving the entire puzzle! Gene

@frankjiang1857 4 года назад

30:24 for me. Interestingly enough, I went a completely different route than Mark did. I found a hidden 23 pair in column 7 which gave me the 1 in that column and followed normal sudoku logic to get to where he was at 10 minutes. I then found a naked single 9 in column 4 which he talks about after explaining his more advanced and complex logic without using his advanced complex logic, and the puzzle logically followed from there without using any complex techniques. It's so fascinating that there are so many varied approaches that can arrive at the same solution.

@DigitalizedArtist 4 года назад

I found the same pair! I started looking at the 745 in lower left box and scanned col3, close but not enough, then upper right at 321 and col 7. Jackpot. Took like 10 seconds, amazed my self :-)

@richardhenrysutterrosendo3439 4 года назад

I went through this route too!

@GreenMeansGOF 4 года назад

Awesome find.

@johnwrou 2 года назад

@@DigitalizedArtist Looking for pairs in this way was totally new to me until I hit this puzzle. It takes some logical thinking for it all to sink in.

@alienrenders 4 года назад

I'll have to start looking for pairs of digits in two columns or rows more often. That actually helped in other parts of the puzzle. There were other ways of doing it, but it's nice to be able to spot things right away that would otherwise take a lot of pencil marking.

@jayceitup3603 4 года назад

I do my sudoku from a book by hand. I really need to switch to digital because it makes the process soooo much smoother. I recently found this channel and i love how complicated these get. Cant wait to get my hands on some of these myself, love a good challenge!

@randomname24680 4 года назад

45 minutes for me. Only 3 times as much as Mark, which I would call a huge success. Watching you guys made me do so much progress those last few days and has renewed my interest in sudokus and puzzles. Thank you very much!

@johnbaker660 3 года назад

ahhhh Cracking the Cryptic Classic Sudoku puzzle 11

@georgesthibaudeau1533 Год назад

Neat puzzle. The start may be puzzling for a while, but once you realise the positions of the 3s and 9s create that 39 pair in row 8, the puzzle gets relatively easy. I needed just under 20 minutes at my slow pace to do it without entering any pencil marks. There was a very nice flow to the puzzle. Once I found the 57 pair in row 5, central block, that was it.

@harharluke 4 года назад

My first time actually playing one of these, 2:02:26 with my only previous sudoku experience coming from the built in Windows 10 version of the game. I just had to watch a couple of clips to get past a mental blockage :)

@wonkersmonkers 2 года назад

2 hours for a sudoku???

@mattjasik6776 4 года назад

Mark made a blooper in 4:41. It is now confirmed that he is a human. Unbelievable

@Tahgtahv 4 года назад

I think it's his touchpad. He seems to have a lot of problems with it.

@DavidWilliams-ic1nn 4 года назад

that was staged....done on purpose to throw you off. looks like it worked

@sampathkumar-ej7xl 4 года назад

At 4:00 the way you found the 39 pairs on the row was just amazing. There is no method for spotting such things in a sudoku. You have to have it in you.

@rwind656 3 года назад

I filled in all the combinations on all empty cells, and specifically went looking for triples. I accept that I can't spot them like Mark and Simon. Sigh. I did however use that New York Times technique and get several numbers in this puzzle. So I've learned that much!

@Hobbes2 4 года назад

This puzzle is Level 11 on the Classic Sudoku app on Steam!

@r0bw00d 4 года назад

That sounds about right. This is the first puzzle that I've had to fight every step of the way just to get numbers in.

@Hobbes2 4 года назад

I remembered it because me and some friends coincidentally were working on the puzzle yesterday! It took 4 of us 23 minutes just to place the first note...

@RandomBurfness 4 года назад

I THOUGHT it felt very, very familiar! I've solved every single one of the puzzles in the Classic Sudoku app, and the start with the 23-pair in column 7, the 39-pair in row 8, the 123-triple in box 2, the 12--pair in row 1, the many 57-pairs in the grid, the 578-triple in column 6, and more felt so, so familiar to me.

@Nevir202 4 года назад

That’s hilarious that he didn’t realize that. 🤣 But I guess you can’t always remember such things, after a while, they all run together.

@samomukuba4294 4 года назад

Lmao I got stuck on this puzzle too

@messieaa 4 года назад

Found this channel because ive always loved sudokus and i wanted to be better on them (quarantine times make you want to improve on something or learn new things) and now i cant stop watching your videos and learning a lot from them... They are a good way to expend my time when i am not doing some university stuff Keep the good content!!!!!

@silverkitsune 4 года назад

i just got into puzzles recently. this guy is absolutely bloody brilliant. would that i could go through each step that took me 10 minutes per; each of which he did in 20 seconds

@Ruddigore 4 года назад

Thank you very much for this solve. I thoroughly enjoyed your commentary on this Sudoku and picked up a few tips along the way to aid me in my solving.

@bowlchamps37 4 года назад

Step 1: Click to the end. Step 2: Fill in the numbers. Step 3: Post unreal time in comments and feel great. By the way, I finished this in 1:23.

@ericpraline1302 4 года назад

What took you?

@trashboat5270 4 года назад

*Me playing soduku still counting what number is missing in a row or column.* Them: "there's 8,7,6 to fill in there"

@55ATA3 4 года назад

Thank you so much for your videos, you both have a gift with solving puzzles. I have enjoyed doing standered Sudoku for over 20 years, and never seen most of the ones you guys are showing. I don't go for speed, I just enjoy a good puzzle..

@MikeBenes 4 года назад

1:14:27 These are just too hard for me. I want to relax a bit with a puzzle but I get stuck too often and waste too much time on this. Love the videos. I would never attempt these puzzles without them. Some of the puzzles on this channel are really, really great!

@RecordsSam 4 года назад

I like the walkthroughs of hard regular Sudoku. I followed along and tried to make sure I understood everything you did.

@B0bbySneeze 4 года назад

Love this channel!! So pleasing!

@isabelsong21 4 года назад

33:41 for me. The 1 and 6 bit really in the middle really helped clear it up once I figured it out.

@Psoewish 4 года назад

An hour to solve it, but the first one I solved without watching the video first! This channel has definitely helped me to improve a lot in solving these :D

@6099x 4 года назад

so glad youtube recommended this fine channel, with these two smart english men. good stuff! that puzzle was hard

@ashemaclean5545 4 года назад

38:16 for me, feel really good about that :) Enjoying the channel loads, keep up the good work!!

@katenorris6269 4 года назад

Lol, tricked into solving an app puzzle. Not mad at all about that. I needed the help.

@eridanuskelpi3908 4 месяца назад

43:16 was my first time beating this. Tough one! Then I got the tip about naked doubles from the CtC app and had to see if this would speed up the solve, which it really really did.

@MG-sy8pj 4 года назад

"I wasn't unhappy with that" = almost happy!

@JustFun-iz9rf 4 года назад

Wow nicely done thank you

@xlauralovesyou 4 года назад

Big fan of the clear explanation :) keep it up

@Coyotek4 4 года назад

52:50 This one beat me up … I ended up bifurcating twice (and erred on one of those the first time through). Between this one and the other one from today (which I couldn't solve at all), today was just a really bad day for me. EDIT: After watching the video … it was the 3-9 trick that I had missed; that led me to finishing it without bifurcation.

@MartsGarage 4 года назад

51:53 and believe it or not I'm pleased with that. (relative beginner). Thanks for what you do.

@hanspeterpitsch 2 года назад

Thanks to you I learned about hidden tripplets, and that's how in this puzzle, I placed 1 as my first digit

@bphillips907 4 года назад

Instantly spotted the new york times hidden triple in column seven. Puzzle was decently easy after that.

@bunnyrabbitplays8979 4 года назад

I picked a new trick.Very helpful.Digitally solving has it's perks.I'm learning to use pencil marks now.I always used a pen before

@Stephen-Fox 4 года назад

Rather neat that very similar logic to your 79 pair can get you started with a 23 pair in column 7 as I found as my opening.

@woodchuk1 4 года назад

8:23 for me...hardest thing was a type 1 unique rectangle. Nice puzzle!

@44StormBringer 4 года назад

I solved this puzzle on the app yesterday. Took me slightly over an hour and placed 0 digits the first 25 mins.

@joshuajones2066 4 года назад

Thanks. Nice puzzle.

@terryshiells1527 4 года назад

Pretty simple once you know to look for naked pairs. 17:12 for me... I'm definitely getting faster thanks to this channel

@michael___684 4 года назад

I think there needs to be another video on empty rectangle technique, explained for dummies such as me

@TheBrucemmoulton 4 года назад

And Me!

@erickehr4475 4 года назад

9:03 for me. I’m pleased with that.

@jadesmith8106 4 года назад

I could follow you until 11:13, then I lost your reasoning. The pair from mid square mid-top (1567) to mid-bottom (146) to bottom square mid-bottom (16). Why can't the top square middle column not be 1's? The bottom one is blocked by a 1 on the 3rd row. What if that middle column mid square has top 7, mid 5, bottom 4 & at the bottom square mid 6, then the top of that column can have 1's.

@rustysmith3565 4 года назад

Jade Smith : Yes. That's the bit I'm still trying to understand, I've watched it over and over and i still don't get it.

@TommyTomLP 4 года назад

This is where I am stuck too. I would understand if the 1 or 6 were in the same column, but I don't see the logic of why it cancels the three boxs out up the middle. It's a 1 OR 6 not 1 AND 6. Edit: Since I didn't understand the logic, I found another route by finding pairs in the top row and right column resolving the 57 pair then the 9 had only one place on the top row.

@karkkipussi123 4 года назад

"What if that middle column mid square has top 7, mid 5, bottom 4 & at the bottom square mid 6" if you do this, middle square can't fit 1 and 6, the puzzle breaks

@rustysmith3565 4 года назад

@@TommyTomLP : Thanks, I'll check that out.

@maltager5106 4 года назад

Box 5, bottom left. Pick either 1 or 6, either way then there must be either 1 or 6 in the middle column of box 5 somewhere. Therefore the 1,6 pair in box 8 must be the opposite. This proves that there must be a 1 in either box 5 or box 8 at column 5. Therefore there can't be a 1 in box 2 at column 5.

@CCHdennis1 4 года назад

This is the first time for me to use this technique to find 23 & 39 pair, although I watch CTC for 2 months. I feel that I learn a lot skill. however, it also take me 45 mins.

@facilvenir 4 года назад

I couldn't solve it, but I learned a new technique. Thank you!

@DanielsDartsblog 4 года назад

done after 55 minutes. but i must say that i had 2 situations where i tried a number without being sure. so i watched your way and after 3 minutes my first try was destroyed by your logic :D

@batdowg 4 года назад

After the 39 pair gave a bunch of numbers I found the naked single 9 much earlier and followed a different path, but still ended with the 57 pairs all over the place, including helping in the top row.

@thomaslong8401 4 года назад

It's so easy to solve these when someone shows you how!

@nix4114 4 года назад

19:04! That's really good for me I'm proud

@Keyboardje 4 года назад

Well done! :)

@splendoragaming1575 4 года назад

I just had a random idea for a sudoku constraint. Magic 5's. Basically wherever a 5 appears the connected squares can have a difference of 1, 2, 3 and 4. Meaning that if it connects to four numbers then they can be 4 or 6, 3 or 7, 2 or 8, and 1 or 9, with only one number appearing from each set. Meaning that if you find 6 attached to 6 then 4 cannot appear connected to that particular 5 as well. Seems like an interesting concept to me at least.

@thomaswilke6312 4 года назад

A very beautiful puzzle indeed

@northwestrider369 4 года назад

Some of the special puzzles are very hard, but some of them actually have decent structure and make it easier for me than a classic puzzle.

@sanctionbuster 4 года назад

I managed to get started. The first digit I got was the 4 in the top right box! Made a silly mistake 1 hr 20 in. Gutted!

@csvidyasagar 3 года назад

Sir, Your videos on Sudoku are excellent. But your play list must cater for Sudoku enthusiasts from basic level of Learner to finally Expert. Kindly rearrange explaining basics of sudoku in first couple of videos. Then go to solving puzzles of Easy level. Scale it up later to Medium level, then on to Hard level and finally to Very difficult / Expert / Diabolical puzzles. This way you will be attracting more subscribers. Thank you for your efforts to popularize Sudoku,

@Wouter10123 4 года назад

I found two triples right at the start, which allowed me to make very quick progress at the beginning, but then it took me quite a while to find one final triple in the top middle box, and it ended up taking almost half an hour. You did it way differently though.

@iosifoulis 4 года назад

21.06 ty for the puzzle

@omararnedo9569 4 года назад

Hi, i'm pretty new in the sudoku things and all of that, and i'm not a native speaker of english. So i need help with te trick in the min 3:48 with the 3 and 9, i felt really lost about that, i can't get why block the row 8, Any buddy can explain me why was that?

@jordangriffin64 4 года назад

This puzzle is in the app and I’ve been stumped by it for two days!

@r0bw00d 4 года назад

Yeah, this one's kicked my ass, too. Accumulatively, I finished it in about two and a half hours and my forehead is throbbing from the strain. When I watched the video and saw him easily put that triple into column one, I had to pause the video in order to comprehend what he did while stewing in my juices for not having seen it for myself.

@jordangriffin64 4 года назад

r0bw00d mercifully I finally knocked this out tonight. I’d say I was approaching 2.5 hours cumulatively as well.

@Rangar1997 4 года назад

Something you could also have done at the start of this puzzle, was the NYT trick with the numbers from box 3 and their affect on column 7

@medicineman007 4 года назад

That has become my first step in solving puzzles. I always give a quick glance for an empty row/column within a cell before I start placing candidates. It definitely helped here.

@DavidWilliams-ic1nn 4 года назад

same NYT trick works with box 8 and its effect on row 8. right off the bat

@guitaraflamenco 2 года назад

Oh my dog, I couldn't do this one. Puzzle 11 in their classic sudoku app. And he does it in 15 mins

@megaminxpll 4 года назад

7:37 for me, tricky start, slight bump in the middle.

@giantswingallday7001 4 года назад

This one stumped me hahaha

@svpickell 4 года назад

Can someone please tell me what the rule is where you just immediately jumped to a 93 matching pair conclusión at the start of the video? Thx!

@rwind656 3 года назад

He spotted a 3 9 in both the third column and the ninth column, and also a 3 9 in block 8. So looking at the bottom three rows, he looked orthoganally and where are 3 and 9 going to exist in those other two blocks? Row 8 jumps out because it does not have a 3 or 9 in it. So I think he asked where can 3 and 9 live in Row8? On R8, the two numbers 39 cannot exist in: Column two, already taken. Column three, 39 in cells above. Columns 4,5,6, a 39 in the box 8. Column 7, already taken. Column 9, 39 in cells above. Thus the only empty cells in row 8 for 3 and 9 are in columns 1 and 8. A 39 pair. How they see these things at a glance just amazes me! Hope this helps. It's not how I found it on my own, I am so much slower. I filled in all the possible numbers in every cell, and then I looked for triples and found 739 on row 8. And found several through the New York Times trick they teach. Sigh. But at least I found it and I am better than before I started watching the channel.

@richardhenrysutterrosendo3439 4 года назад

At 10:33 you may place the 5 in r4c9. If that cell was a 2, the solution wouldn't be unique (r4c7, r2c8, r2c9, r9c7, r9c8).

@richardhenrysutterrosendo3439 4 года назад

Also at 12:08, uniqueness can be used to put the 8 into r8c5.

@baobui3002 4 года назад

That 3,9 pair was the game changer.

@davidh.4944 4 года назад

I got pretty far at first, but was then stuck for 90 minutes, and finally gave up. I would never have noticed that central 1,6 combo on my own.

@sebastien2815 4 года назад

15:04, I need to keep working on spotting hidden doubles.

@himi9158 4 года назад

I was doing good until 9:42. A few more of 'only 2 possibilities in a box' pencil in but had no idea how to go forward. Eventually came to the video and while I get the logic a part of me still feels like that's guessing for my current level. It feels very much like searching for X wings and it's certainly not something I can 'see' even while searching them. Still waiting for the day it clicks in my head until then... practice practice practice. Thank you, have been enjoying watching your videos.

@ol1ver49 4 года назад

OMG that was a struggle!

@fiend9177 4 года назад

started with 2 & 3 in row6 & 7 and box3 to place the 1 in row7. got the 9 in row3 somehow to make 5, 7, 8 a triple in box3, then i spent 10 minutes looking at a naked single 1 in column 6 xd

@danielles3841 3 года назад

35:12, this one was harder than i thought it would be

@philipstaite4775 9 месяцев назад

Been a while since I did a hard classic. I needed help seeing the 3-9 break in, then it was just a hard slog of looking.

@qfmarsh64 3 года назад

Had to watch the trick at 11:00 three times before getting it, and I've been doing sudoku for 15 years. Wow.

@bytegecko2813 2 года назад

can you explain this? For me there is no 1/6 Pair in C5R4 or in C5R6. He self hat a possible 4 there at this time. I dont get the trick there.

@qfmarsh64 2 года назад

@@bytegecko2813 Look at R9C5. It's either a 1 or a 6. If it's a 1, then 1 is eliminated as a candidate from the center column of Box 2. If it's a 6, then R6C4 is also a 6. Since 1 cannot be in row 5, it must be either in R4C5 or R6C5, which also eliminates 1 as a candidate for R1C5 and R2C5. R6C4 = R9C5. The matching "pair" to both is either in R4C5 or R6C5. It doesn't matter which to logically eliminate the rest of C5 as potential locations for either 1 or 6.

@UofMFan628 4 года назад

there is also a 123 hidden triple in column 7. 1, 2, and 3 are ruled out of rows 1, 2, 3, 4, 6, and 8. that means the 123 must be in rows 5, 7, and 9 which can be solved for. I didn't see that 39 trick for row 8, that was really nice.

@1fosters 4 года назад

NY Times trick. Similar to what he did in row 8.

@UofMFan628 4 года назад

@@1fosters indeed. I've seen Simon and Mark use it before, but it's my first time personally spotting it, so I'm inordinately proud of myself lol.

@yourundoing12 2 года назад

I dont quite get the logic at 11:01 - how can we be so sure there is a second 16 pair in column 5 / box 5?

@danielcardwell5457 10 месяцев назад

Because Column 4,6,9 , will always have a 1 put there regardless of what's put in R6 C4

@R.F.9847 4 года назад

I was following along until 13:28. What makes C5R2 a 5-7 pair?

@michellemoses3768 4 года назад

That row had only 3 empty squares - 5-7-8. That square can't be 8, thus it's 5-7.

@rabidsamfan 4 года назад

There was a 579 triple in the top row at one point, which left 12 pair, but that is the only thing I spotted Mark didn't.

@hidofski284 4 года назад

Nice

@amirghandehari3003 Год назад

link to the puzzle doesn't work :(

@florianzellmer8735 4 года назад

Nice puzzle, to me it was very surprising that you didn't spot the 'new York times' trick in column 7, but still, good work

@funwhiz2911 4 года назад

What the difference in your technique between placing pencil marks in centre or corner?

@bphillips907 4 года назад

They go over it often in some older videos. Corner notation is saying "in this 3x3 box, this number can appear in only these cells" They often only do this for when a single box has only 2 possibilities for a number. This is called "Schneider notation" If they notate the center of a cell, it's saying "this cell can only contain these digits". Often used when notating pairs/triples in rows or columns.

@krishgetz 4 года назад

That was just WOW!!!! The ability to scan the whole board and find patterns to eliminate possibilities and hone down on pairs!! Makes it look easy, but it aint.

@aleksandr8809 4 года назад

Can't understand logic behind 8:00. Why these numbers (124) could not be in 1st box? Or 2nd and 3rd columns?

@ScottySmith1957 4 года назад

In each column you need 1-9. rows 7-9 had 7, 9, and 5. In the 2nd box there was a 6, 8, and 3. This means in rows 4-6 you cannot place 6 digits, leaving only 1, 2, and 4 to go in rows 4-6. Then he just did simple sudoku to clean it up.

@aleksandr8809 4 года назад

@@ScottySmith1957 yes, it makes sense. Thanks

@stevesebzda570 4 года назад

WOW I was stuck How did you see those 3 and 9s (giving us the 7 in block 9) ?! EXCELLENT Knew I had to tune back in for a hint lol 😅☕

@brettaspivey 4 года назад

This puzzle had a world record for slot machines, but none of them worked! Just had to go old school on it.

@southhill6667 4 года назад

Must've misplaced a number at some point, cause it completely messed up for me. Restarted and got it in about 50 minutes after that.

@achad1607 4 года назад

35:35. I didn't spot the 39 pair. I found r8c3 had to be 168. Which ever one it is, it finishes the r7c4,r9c5,r7c6 triple with 4 and 5. That excluded the remain two digits of 1,6, and 8 from r8c1. That left 39. The second 39 was easy to spot, and, off to the races. In box 3, after the 9 is placed in box 9, r1c7 is 79, and r1c8 is 57. The 57 forms a pair with r1c3's 57 putting a 9 in r1c7.

@mojamicha 7 месяцев назад

10:12 wow youare master !

@user-yz8wr8vb7f 4 года назад

@10:00, by uniqueness, r8c5 must be a 28 pair

@henzordauigs97 4 года назад

Can someone help me understand the logic behind 11:00...? Thank you!

@jorgemason7872 4 года назад

you have 16 in R6C4 and R9C5, whatever the number it have to be the same, so: if R6C4 is a 1, the R9C5 is also a 1 and can't be on R123; if R6C4 is a 6, you now blocked all corners and you have to put a 1 in C5R4or6, making imposible to put a 1 above again

@henzordauigs97 4 года назад

@@jorgemason7872 Thank you!

@williamgreer7601 3 года назад

32:19 for me ended up having to color the 57 pairs at the end to figure our which was 5 and which was seven

@reasonable1 4 года назад

20 minutes staring at it without any clue, then watched until he got the 39 pair from where I could solve the rest in 40 minutes.

@wamfaj3423 4 года назад

pretty much the same as me mate! cool starting trick

@MuralikanthP 4 года назад

Same for me

@user-A168 4 года назад

BEST

@crifmer 4 года назад

I still don't understand the logic behind the 1/6 at 9:50. Why is it ruled out of all three cells in column 5 instead of just the central cell? Especially since the 1 did go in column 5. I got all the rest of it, but I watched that part several times now and just can't follow.

@michellemoses3768 4 года назад

Try it and you'll see. If you put a "1" there all three cells in column 5 would be ruled out, since you just put a "1" in column 5. They would also be ruled out of row 5, because of the "1" that is already in that row. That leaves one option. If you sub it for "6" you'd get the same result.

@crifmer 4 года назад

Okay, I think it was him considering them as a pair that threw me. So his logic was not ruling 1 or 6 out of those three cells, but discovering that only a 1 or 6 could go in r6c4. The way he explained it it sounded like the reverse.

@peterzerfass4609 4 года назад

Is it valid to argue that (for the three 1/6 cells in boxes 7 and 8) the one above the 1/6 cell in box eight must be an 8, because it can only be 1/6/8 and not putting in an 8 would result in a 'deadly pattern'?

@JaggerG 3 года назад

In this particular case, I question the validity of that strategy at all. Mark said the source had been ungiven, and it sounded like it had been untested, so there’s no indication that it actually had only one solution. Competition puzzles are pretested, so it’s guaranteed, and computer algorithms don’t usually output multi-solution puzzles, either. But a random unsourced puzzle could be just straight up broken. That said, Mark and many commenters have solved it using no assumptions, so technically yes you could do that given that information.

@clevermorepuzzles4557 4 года назад

I would take a second to check the base and battery of your laptop. I've seen many many instances of swollen batteries pressing up against the bottom of the trackpad and causing all sorts of issues, including false inputs.