a naked 45 pair in row 3), base sets are the possible digits in the two cells, covers sets are all of the places a 4 or 5 can go in the row.- Naked triple, quad etc. Sudoku-Today.com is compatible with all browsers, tablets and mobiles. This is a combination of UR with Naked/Locked Subsets.We look for two non diagonal cells in a possible UR that have extra candidates. For this particular puzzle, this game is by no means trivial. También podrán elegir entre una amplia variedad de bebidas exóticas sin alcohol, como el Sour Sarlacc o el Tatooine Sunset. SUNRISE and sunset on a planet far, far away would be twice as spectacular as here on Earth, astronomers say. Enter numbers into the blank spaces so that each row, column and 3x3 box contains the numbers 1 to 9 without repeats. The New Sudoku Players' Forum. "If one is to understand the great mystery, one must study all its aspects, not just the dogmatic narrow view of the Jedi. I still find it easier mentally to think of them as an MSLS though - feels like less to keep track of.The second one, though, was genuinely something that couldn't be done digit-by-digit. So, if you are a complete beginner, here are a few Sudoku tips that you can use to improve your Sudoku skills. Reply. Note also that, focusing now only on 5 and 6 in the same columns, that we need to place six digits in total, and there's at most two in r1, at most one in r4, at most two in r6 and at most one in r9, which totals six, so we can eliminate 5 and 6 from the other cells in those rows.After carrying out eliminations from these MSLSs, there is now a hidden single 8 in row 1. The main difference in the X-Sudoku is that you can not repeat numbers in either of the two main diagonals of the grid that you will see marked in orange. Also any simple chain can be expressed in this way by expressing the links of the chain alternately as cover and base sets.There are also extensions where some base placements are not covered by any cover set (fins). Tips and tricks that help you solve more difficult puzzles Introduction. That means I had to distinct area that are overlaid in both layers. X-Wing on 1 in rows 3, 4 eliminating from cols 6, 7), base sets are all of the places a 1 can go in rows 3 and 4, cover sets are all of the places a 1 can go in columns 6 or 7.- Swordfish, Jellyfish etc. Very nice! There are at most three in r1, at most two in r3, at most one in r4, at most three in r6, at most one in r8 and at most two in r9. [I'm so excited by all of this I am only going to mention in passing that I *think* Trevor may well be the brother of the Fields Medal winner mathematician, Terence Tao]. Every Sudoku has a unique solution that can be reached logically. All you need is six measly digits – or more precisely – their sum. Puzzles are the easiest way to keep your little one’s brain sharp as they have oodles of fun. Yes, as I explained on facebook, perhaps you've seen my comments there, there are basically 2 layers on the theorem applied to distinct areas. This page lists different techniques you can use to solve Sudoku puzzles. At that point I think I'd have been left scrabbling around not knowing what to do next. This tells us that r1c258 is a 279 triple, r6c258 is a 279 triple, and furthermore we find that r2, r9 cannot contain any 2s 7s or 9s outside of c258 except the givens.Now there's a second MSLS, this time looking at digits 3,4,5 and 6. This totals twelve. And already the Internet is awash with speculation and fan theories. It's also worth observing that to solve the sets of digits within the dual 3x3 array, you still need to make some reference to the original grid. This is not surprising given Trevor's first step involves these digits.Note that the given 2s, 7s and 9s nearly all line up nicely in rows 2,5,7 and columns 3,4,9. Check that this then gives you a naked single 4 in r6c7, followed by a hidden single 4 in box 4. Reply. Good notation needed.Nose to the grindstone. The goal is to fill in all the empty cells on the board with the correct numbers. I'm now going to work backwards. My thought exactly. My puzzle posting dates back to May 2009; I try and post on a Friday where my time allows. Trevor's genius observation was that the right way of thinking about this puzzle is not via Fred's inersection theory, and a partition into 4 regions of the grids, but instead to partition rows and columns into 3 (which he does via colours in the video) to end up with a 9 region partition of the grid. More than that, the digits in the red intersection and the digits in the blue intersection have no overlap! Sudoku X is played exactly the same way as the classic Sudoku, by filling in the numbers 1 through 9 in the empty fields. 5:30. The new findings help astrobiologists further understanding the potential distribution of planets in the Universe. You'll need to mark up quite a few triples in the grid, noting that cells in some of the intersections have only 4 possible candidates, before you can finish the solve. Never-ending variety of free Sudoku puzzles - you can play your daily Sudoku here, get a printable Sudoku or just play as many free online Sudoku as you want - all with lots of helpful features. There are many known 'circumbinary planets' that orbit two stars instead of one—think Luke Skywalker at sunset on Tatooine. I think I'd like to see this presented with some better pictures.http://forum.enjoysudoku.com/using-multi-sector-locked-sets-t31222.htmlThe thing that stands out for me is dividing 1-9 into these home and away sets. It was as if I had some of the picture, but not all of it, and I had no idea what I was looking for. Again, not a surprise given what Trevor did.Look at, funnily enough, columns 3,4 and 9. Some are basic and can be used on easy puzzles and others are more advanced techniques that will help you solve more difficult puzzles. You need to spot a 179 triple (rows 3,4,8) in column 7. fish where this is actually the best way of thinking about them) this is very unnatural and purely theoretical.Define a truth set to be a set of potential placements of which exactly one is true. Welcome to the blog of Dr. Tom Collyer. Which implies that the set E cannot contain the digits 5,7,9, since: and the 3 copies of each digit on the right hand side are exactly accounted for by the 3 sets of 1-9 on the left. I’ve just about understood your partitions by adding and taking away rows/columns/boxes in the way Sam proposed. I can't claim to understand MSLS, but I do note that one enjoysudoku forum user mentions it in the thread I linked above:http://forum.enjoysudoku.com/tatooine-sunset-tatooine-sunrise-t38180.htmlI had a look at what I think is the reference for MSLS. Read about surprising, fun facts about Sudoku you did not knew about. I messaged Simon to say that there was something sort of Phistomefel-ly with the givens in the 4x4 region of the grid between Rows 2-5 and Columns 2-5 (A). What this then means is that you can play a weird sudoku-like game (albeit one with repeated symbols!) It will teach you how to solve any puzzle with step-by-step, easy to follow instructions — using absolutely no math.Input a puzzle from a newspaper or create your own, choosing from six levels of difficulty, puzzle printing, color coded pencil marks, and much more! Tatooine Sunset is going to appear in CTC's book (that they are doing through kickstarter), hopefully along with a brand new puzzle from me (I've been working on that this week, thus the lack of new forum posts). ), You might want to read the first reply in this thread. This dataset contains 200 pictures of Sudoku, divided into two sets: 160 training images and 40 test images. Inspired designs on t-shirts, posters, stickers, home decor, and more by independent artists and designers from around the world. Reflections on Intersections, Naked and Hidden. I am very excited about all of it, and I'm probably going to have a bit of trouble keeping this post clear and coherent, so let me first post the main link to this video by Trevor Tao, which is a demonstration of unbelievable genius sudoku solving. The base sets contain a total of N true placements, one for each truth set.Suppose further that we can find another N pairwise disjoint truth sets called the "cover sets" with the property that every placement that is in one of the base sets is also in one of the cover sets. pointing 5s in box 3 eliminating from the remainder of column 8), base set is all of the places a 5 can go in box 3, cover set is all of the places where a 5 can go in column 8.- Claiming (e.g. Sudoku Dataset. Enter numbers into the blank spaces so that each row, column and 3x3 box contains the numbers 1 to 9 without repeats. A different perspective changes everything. The conclusion is that every non-4 digit can be eliminated from that cell.- Hidden pair (e.g. Good night Tom and all. Actually, the first one doesn't count because it was degenerate - you could easily express it as three disjoint swordfish on 2, 7 and 9 and get the same eliminations. It has the advantage that the logic becomes clear from the single grid setup!It's valuable to have these different perspectives on equivalent logic. I hope it's clear. There are three versions of the datasets: V2: The complete dataset with 200 images (160 for training and 40 for testing) That's it for the MSLSs, actually, although to finish the puzzle from here you'll still need to keep the eliminations from them in your mind for a short while. It's not easy! To start with, I'm not going to define exactly what I mean by an MSLS. In our case, look at columns 2, 5 and 8, whose own givens also line up nicely in rows.Within columns 2, 5 and 8, we need to place a total of nine 2s, 7s and 9s. ... Tatooine Sunset / Tatooine Sunrise. by denis_berthier » Fri Aug 14, 2020 2:13 pm. Then the cover sets also contain exactly N true placements, and since the cover sets cover all of the base sets, every placement that is in a cover set but not in a base set must be false and can be eliminated.Almost every Sudoku technique is a special case of this general formulation:- Hidden single (e.g. That's why the look of the partitions is more intricate. Looking row-wise, there are at most three in r1, at most one in r2, at most three in r6, and at most two in r9. A Sudoku is a puzzle consisting of a grid to be filled with symbols, such that each constraining unit contains each symbol exactly once. And this imposes further structure into the dual 3x3 array because now it means that, for example, red rows/blue columns is the same set as blue rows/red columns. When playing around with this in my notebook, I'm labelling the columns ABC and the rows DEF. This is usually a clue that there's an MSLS lurking, and it is usually found in the columns *NOT* occupied by the givens we've identified. Tatooine Sunset is going to appear in CTC's book (that they are doing through kickstarter), hopefully along with a brand new puzzle from me (I've been working on that this week, thus the lack of new forum posts). Create your own Sudoku Ebook. A number may only appear once in a single row, column or three-by-three box. This is the brutally hard Tatooine Sunset Sudoku puzzle by Philip Newman... except the Noble Happy Star has goofed! White or transparent. Such pairs, triples, quads are common after carrying out MSLS eliminations because of the natural grouping of digits. Versions. Rules. My published puzzles can be found here. hidden single 4 in row 7), the base set is all of the places a 4 can go in row 7, and the cover set is all of the possible digits for the unique cell in row 7 that can contain a 4. Hãy chọn một ô chữ tùy theo độ khó và chơi game vui vẻ! are similar- Pointing (e.g. These columns must have a total of twelve 3s, 4s, 5s and 6s between them. High quality Sunset gifts and merchandise. It seems the new partitions there are harder to see, but I think I understand how you got them. If you send the sudoku solution to multiple friends, please separate them by "," (Example: abc@gmail.com,cdf@gmail.com). Today (9th October) I was about to write this post, and then I saw Sam Cappleman-Lynes. Astronomers studying a distant gas giant have found that the planet’s star system contains not one, not two, but three stars. How To Play Sudoku. From Sudoku and Puzzler to Tangram and Rubik’s Cube, find just about anything you … This is conveniently a total of nine, so every "at most" must actually be "exactly". Unique Rectangle Type 3. When you have solved the dual 3x3 array, using all this information to solve the puzzle is also not easy. In the other rows, we have a 34 pseudo-pair somewhere in r3, a 6 somewhere in r4, a 3 somewhere in r8 and a 45 pseudo-pair somewhere in r9, so those can be eliminated from elsewhere in those rows. Share your thoughts, experiences and the tales behind the art. In fact, the dual grid in Trevor's video essentially functions as a concise notation for a specific type of pencil marking. There shined a shiny demon, in the middle of the road, Tatooine Sunsets and Partitions of Latin Squares. are similarThere are also extensions to having non-disjoint base and cover sets and unequal numbers of base and cover sets. For example, if there are N disjoint base sets and (N + k) disjoint cover sets then you can eliminate any placement that appears in (k+1) of the cover sets. I also messaged Simon about this video on Thursday, so I'm kind of hoping we might be seeing a video on this in the next week or so. Tatooine Sunset — Jamaican rum, Falernum, Bitters, Lime juice, Ginger syrup Waltz #2 — Pisco, Dry apricot brandy, Elderflower syrup, Lime juice Mexican Velvet — Reposado Tequila, Mezcal, Falernum, Lime juice, Pineapple syrup This is the brutally hard Tatooine Sunset Sudoku puzzle by Philip Newman ... except the Noble Happy Star has goofed! Whilst the two are linked, they do behave very differently. It is solved like this:Gne = 11 3 4 88B = 1 2222 777777 8 999999Gy = 1 33 4444 555555 6666 8Then you can solve the sudoku (not trivial, though but interesting with these groupings). contact us. See the picture here: https://i.ibb.co/Lrm7h0T/Tatooine.png.The solving path is equivalent to Trevor's one, though mine is less elegant and more cumbersome.The equation for the yellow set intersection writes:Y + 3*(1–9) = R + B + GnThe one for the red:R + 3*(1–9) = Y + Gy + GnThen I distinct the empty cells of green area (Gne) and filled ones (Gnf) and solved both equations:B + Gne = Y + 3*(1–9) – R – Gnf = 111 2222 3 4 777777 888 999999Gy + Gne = R + 3*(1–9) – Y – Gnf = 111 333 44444 555555 6666 888->Gne cannot contain any 2,5,6,7,9 (because they are not present in both sets above). ", http://forum.enjoysudoku.com/a-pure-swordfish-collection-t5775.html, https://www.youtube.com/watch?v=V38qsL1cmFs&t=60s, https://www.youtube.com/watch?v=12lPDRFXhYs&t=535s. Fortunately, you are not required to solve the whole puzzle. I had to use the theorem for 2 distincts dissections (for the Yellow and Red set of cells), which guided me to dissect the grid into 6 sets: Y=Yellow, R=Red, B=Blue, Gn=Green, Gy=Gray. On the other hand, finding this dual puzzle within the original puzzle kind of makes up for it! (4)r1259\c4589 => -4 r46c4,r6c5,r7c89,r8c9; btte (alone). Play the ever entertaining game of Sudoku online on TheSudoku.com - fun … Play Sudoku puzzles every day in 5 different levels from Very Easy to Very Hard. I can't get over how unbelievably elegant this generalisation of Fred's already very elegant intersection theory actually is! Cells each take a number between 1 and 9. My mathematical background is in geometry and topology. By the way, here's what I think is a pretty general statement of "intersection theory". I wouldn't recommend jumping straight into it however, so I'm going to try and post a little bit of background material first. Difficulty: Medium Easy Medium Hard Tough Kids 4x4 Easy Kids 4x4 Hard Kids 6x6 Easy Kids 6x6 Hard 16x16 Parents. Now let's jump back to the beginning. All orders are custom made and most ship worldwide within 24 hours. By trade, I am a risk modeller. I … Progress! Tip 1: Look for rows, columns of … I'm working on a comment now which expresses the solution to Tattoine Sunset in terms of MSLS. I also don't think displaying the dual view of the 9 resulting intersections as exactly the same grid as the original Sudoku puzzle is all that intuitive. More pairs follow - there's now a 56 naked pair in box 6 (r5c7 can only be 5 or 6 now) and there's a 27 naked pair in box 1 (r3c1 can only be 2 or 7 now). In case you are too lazy to scroll up to see the link to Trevor's video, I'm going to post it again. a 36 pair in column 2), base sets are all of the places where a 3 or a 6 can go in column 2, cover sets are all of the digits that can go in the two cells in columns 2 that have 3 or 6 as possibilities.- Hidden triple, hidden quad etc. Sudoku Technique/Question: Recipes: tom From vancouver Supporting Member Check out my page. These sure are interesting times for sudoku! Enter numbers into the blank spaces so that each row, column and 3x3 box contains the numbers 1 to 9 without repeats. For reference, the puzzle is also discussed here: I'm not entirely convinced using the same colours to partition both the rows and the columns is necessarily helpful. My assumption is that he found the initial swordfish and the resulting pairs/triples, but didn't spot one of the subsequent fish. And vice versa. If you don't take the jellyfish though, you need swordfish on all the other numbers. He didn't actually solve it on the video. At the same time, learning to play Sudoku can be a bit intimidating for beginners. Sudoku is a fun puzzle game once you get the hang of it. are similar.- Naked pair (e.g. So every at most is an exactly.This means that in r1 and r6, the cells in r16c347 cannot be anything *but* 3,4,5 or 6, so eliminate any other possibility from those cells. It's a lot to keep track of without full candidate markings (for the videos, they tend to only mark candidates locked in two places in a box, or cells restricted to two or three candidates; ordinarily for a fish they would color the cells to keep track of it, but that's not practical here. However fate then smiled upon me. Tatooine’s double sunset just got outshone. Sudoku Solving Techniques. Firstly because I'm not actually sure anyone agrees on a definition, and secondly because I think the definition would be overly technical and obscure what's actually going on where an example would be clearer.In short, an MSLS is a bit like a fish (X-Wing, Swordfish, Jellyfish etc.) © www.sudoku.name All rights reserved 2005-2020 Worth checking out if you are at all interested in variant puzzles, some really clever stuff on the confirmed list and I'm sure the new puzzles will be excellent as well. In my notebook I drew a 3x3 array of the partition something like this: On the other hand there are some advantages to the colouring, as it does highlight some of the beautiful structures underlying this puzzle - firstly that the red rows/red columns intersection is entirely occupied by givens, which is also the case for the blue rows/blue columns intersection. I have also written a report on the subject: "What is a Sudoku?". This felt like an exciting deduction, and I'd even managed to have the idea that this was in some sense equivalent to swordfishes, because as Fred has told us, swordfishes are one thing that can be explained by this intersection theory. For example, if you only have one 8 then this implies three 1s, which we have already seen is impossible. This dataset contains images of Sudoku taken in various newspapers using martphone Cameras. Sunsets on some of those worlds would resemble the ones on Luke Skywalker’s planet, Tatooine, where two fiery balls dip below the horizon one by one. the XY-Wing in this framework. While most of Tatooine was filmed in Tunisia's desert, two key locations were shot within 20 minutes of each other on the tropical island of Djerba: Obi … Yeah, with the jellyfish only five swordfish + basics are needed (at least, I haven't found a way to do it with four). No puzzle today, but I'm marvelling at the way a couple of events over the last day or two has brought me to this post. Finally a 36 naked pair in row 2 (c2 and c7).Now with all of the marked pairs and triples, you should have no problem finishing the puzzle normally.---------------------------------------------------------------We used three MSLSs here. The video skips over some of the details a bit quickly, so I'm going to add a couple of observations. This clearly suggested a Fred style partition, grouping together Rows 169 to define one part of the partition, and Columns 167 to define the other. I'm not entirely convinced using the same colours to partition both the rows and the columns is necessarily helpful. Dec 1, 2013. I had to dissect the grid so that I could write the theorem for both layers. Added an improved version, at least by the swordfish count. Saving Your Sudoku and Sending You An Email (link to your Sudoku) × Sharing This Sudoku to Facebook This comment has been removed by the author. The step where Trevor places two 8's and two 1's in the green rows/green columns intersection (having first observed that having three of either is impossible) is quite subtle, and relies on some pigeonhole principle style reasoning. Fred's theory tells us that the set of digits placed in those 9 cells, plus 3 extra copies of 1-9, are equal to the set of 36 numbers placed in the four regions A, B, C and D described above. TheSudoku.com. I also saw there was something else going on with some more regions: namely those between Rows 7-8/Columns 2-5 (B), Rows 2-5/Columns 8-9 (C), and then Rows 7-8/Columns 8-9 (D). On Thursday night (8th October), as I was googling "tatooine sunset sudoku" to try and find the enjoysudoku forum post again, I noticed a link to Trevor Tao's video. This is great stuff Tom, thanks for posting! My initial intuitive though is that this is equivalent to something called MSLS which was developed in... hmm, I want to say about 2012. The 9 cell set (E) defined by the intersection of these rows and columns is absolutely fascinating, as it is where the breakthrough in this puzzle is made, after you're done with all the fishing around. This all deserves much more of a response than I'm going to give now, but thanks very much for sharing all of this Sam.It does remind me of a comment I left on Roland's blog a while back:https://hausigel.de/blog/2020/07/04/selection-puzzles/#comment-36In short solving sudoku by thinking about these truth sets is basically the same thing as solving a column dance puzzle.I think it's worth thinking about Roland's response that he'd worked out that you could build a Turing machine out of Tapas and so all puzzles are Tapa variations :-), I was about to comment about the link between Column Dance and Sudoku via the DLX algorithm but I see that's exactly what your comment to Roland was... :). These give you finned X-Wings, finned swordfish and related techniques.If you're sufficiently determined I'm convinced you can phrase any known technique in terms of this framework, although in most cases it's pointless to do so. My attention was piqued over on Cracking the Cryptic by a pair of videos where both Mark and Simon solved the same puzzle by Philip Newman, which comes with the name Tatooine Sunset: I watched Simon's video on Wednesday night (7th October), and saw there were an awful lot of swordfish going on, together with some triples, and that everything was hinting at some extraordinary underlying structure to this puzzle. I have previously been the Competition Director for the 2016 WPF Sudoku Grand Prix, and the 9th World Sudoku Championships, held in London in August 2014. Learn basic Sudoku strategies to solve Sudoku puzzles faster. 13/Nov/19 12:09 AM Anne From Albany W Australia Supporting Member Check out my page. Play sudoku on your site/blog; Timer 00:00:00 Start Pause Reset 6 Comments • Previous / Next • Help Medium Sudoku for 8/November/2019. I wanna work in a sand crawler and collect droids for a living. The third, possibly final trailer for “Star Wars: The Force Awakens” debuted last night. except that it is allowed to consider multiple digits at once. Same goes for the third one, it was just a swordfish on 5 and a separate swordfish on 6. Goal. 2s in row 8 confined to box 8 eliminating from the remainder of box 8), base set is places a 2 can go in the row, cover set is the places 2 can go in the box.- X-Wing (e.g. I'll leave the non-disjoint cases to you.This allows you to formulate e.g. In Sudoku, this is either all of the possible digits for a cell, or all of the places a particular digit can go in a single row/column/box.Let's say we have N pairwise disjoint truth sets - call these the "base sets". in this dual 3x3 array to then try and solve the sets of digits in each of the 9 intersections, noting that each complete set of 3 rows or 3 columns must contain 3 complete copies of the digits 1-9. Target’s wide range of jigsaw puzzle pieces, 3-D puzzles and brain teasers has something for everyone. I am also an accomplished puzzle solver and author. It combined two sorts of elimination in a way that only makes sense when considering all four digits together. As in Simon's video, the techniques used after this are simply hidden singles and naked singles, but let me say this again, to actually spot these after all of the above, well, it's not easy. Sudoklue™ is a Windows program you can use to work on Sudoku puzzles. Simon certainly has a talent for clear exposition than I can only dream about! That seems very similar to my observation 4.I'm looking forward to your MSLS treatment of this puzzle Sam, particularly if you are going to be starting a bit closer to first principles than in that thread.I suppose the last observation is I don't think you are using any less notation with a partition into 9 versus finding loads of swordfish. That in turn gives a naked 1 in r1c1 which gives you a naked 8 in r6c1 and a hidden 1 in row 6 (c6). Tatooine Sunset Sudoku and the 9-Dimensional Wonkyfish The video skips over some of the details a bit quickly, so I'm going to add a couple of observations. Let's solve Tattooine Sunset with them... without a separate grid, and without wonky dimensions.The downside of using a single grid is that it's slightly harder to keep track of the deductions we've already made, so to follow this solution you *might* need a few pencil marks. Two of the digits have been swapped and there are multiple solutions. It can contain only one 3 and one 4 (1rst equation) and only two 1's and two 8's. See all of Beanpotter's Xbox achievements, what they've been playing, and their upcoming gaming sessions on trueachievements.com Every Sudoku has a unique solution that can be reached logically. Chơi Sudoku trực tuyến với các cấp độ từ Dễ đến Khó trên trang Sudoku.com. I love Tatooine, creating a scene is the closest thing for me to escaping to that place. Tatooine Sunset Sudoku and the 9-Dimensional Wonkyfish, http://forum.enjoysudoku.com/tatooine-sunset-tatooine-sunrise-t38180.html. NASA today will announce the discovery of a planet with two suns, like Tatooine … I can't claim to understand it, although I suspect part of that is not being willing to battle through the ASCII representations of the examples. How to Play. I solved it using the intersection theorem. In other words it's Fred's intersection theory working together simultaneously over 3 different 2x2 partitions! Tatooine sunset. Unique Sunset Stickers designed and sold by artists. by mith » Thu Oct 29, 2020 11:40 pm . I'd even got as far as noticing that the digits 5,7,9 occur exactly 3 times each in that ABCD area. Get up to 50% off. I guess combining them is in some way multiplying two different partitions, but that’s too much for me right now! Trang web của chúng tôi tương thích với tất cả các trình duyệt và thiết bị di động phổ biến. Two of the digits have been swapped and there are multiple solutions. I am a "Contributing Puzzlemaster" for Grandmaster Puzzles. I'm excited that this stuff is getting rediscovered and made available to a new audience again! 6:18 Very slow tonight. Click a cell to select it. The examples from the Tatooine puzzles (we discuss sunset here), as well as Sam's puzzle (as discussed in Reloaded) involve rather large sets of "hidden" digits with multiplicity that somehow need to be squeezed rather tightly into similarly sized sets of cells within the grid, and both the digits and the cells can be hard to see on the face of it. Play Offline with Web Sudoku Deluxe Download for Windows and Mac. With certain exceptions (e.g. Decorate your laptops, water bottles, helmets, and cars. Nov 22, 2013. farawayforest Professional Traditional Artist. The first MSLS is found by considering the digits 2, 7 and 9.

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