A Thermo Sudoku With Only 2 Given Digits

[Music] thank you hello and welcome to Wednesday's edition of cracking the cryptic and after Festival yesterday we returned to another absolute Master of the Sudoku world today with a puzzle from ad vandevetering the Dutch Sudoku Constructor behind well probably the most famous Sudoku puzzle of all time the puzzle on the screen is called high temperatures by the way and it is a normal Thermo Sudoku how often do we get to say that nowadays very very rarely um so really really simple rules which I'll go through in a moment for those of you who've not seen Thermo Sudoku before but two of our testers have looked at this and they are raving about it they basically said it's just one of the most elegant sudokus they've ever seen and it's apparently extremely approachable one of them said it was only just harder than a gas puzzle so it genuinely approachable Sudoku so it might be if I can do it you know efficiently it might be quite a short video today but we'll we'll get to this in a moment or two but um yeah our odds puzzles are always something of a delight um how do I or how do I think about art what he manages to do is he takes he takes something and can present a clever idea with simplicity and that's a really really it's sort of a brilliant thing to be able to do uh anyway we'll get to this in a moment too I've got some things to tell you about first oh yes the first thing I'm going to tell you about is a new book that I've been sent this is by Akash dulali world of Sudoku Volume 8 I hope you can see it Akash has been making a whole series of these books um I'll try and remember to put a link under under the video if anyone's interested in in buying it why do I like it well I like them because they're they're handcrafted puzzles so that automatically gets a tick in my book um the other reason I like akash's books is that he he normally gets a very very good fast solver to solve all the puzzles in the book and said fast solver records all their times so there's a little bit of competition I think it is Edward LeBeau has done has done the solving times for this one um so you know if you fancy yourself as a bit of a speed demon you can try and do you know the puzzle on page 42 in better than 5 minutes 35 seconds and if you do you can feel quite proud of that and the other thing that I see Akash has just implemented in this book is um online solving links so if you prefer to solve now on computer rather than uh pencil and paper you can now do that I think that I think the links are to pen per the pemper software for those of you who are familiar with that so akash's new book is out now I think I think Mark might be attempting a puzzle from that book in this evening's video I hope I haven't got that wrong but I think that's what's going on um now next thing I want to talk about is some very special birthdays I'm going to start with a little girl called Lana who has turned 11 today Lana many many happy returns now I know from your dad Jamie that you you like Vista Maple puzzle so I hope you I hope you had a look at yesterday's video and Tall cat puzzles well I hope you can agree that aard aard is a good standing for those two I'm sorry we're not doing one of your favorite Constructors today but I hope of course UK I hope all the chocolate cake makes up for that um Emmy Emmy you've turned 23 today and I know this because your boyfriend Michael wrote to us and Michael told us that he introduced Emmy to Sudoku but she has um become obsessed by it to the point where she has even made a present presentation about killer Sudoku at her work so that Emmy I fully approve of that that makes you that makes you absolutely top-notch in my opinion and Amy I hope you have a brilliant birthday um and Kyle is 10 21 today and Kyle um I Know I Know Carl you suffer a bit with sort of social anxiety and well all I'll tell you is that this channel is is the channel for you this corner of the internet is full uh it's full of people who are always in the corner at parties let me tell you um and I don't know if I've got any good advice keep keep pushing keep trying uh and I I hope and I I think it will improve over time and I hope today you're able to have an absolutely brilliant day um and then finally Olay who's turned 38 today in Germany and I know this because your girlfriend Annika wrote To Us Now Annika was very honest um she admitted that you watch Ollie and she was asleep well it doesn't completely surprise me um but um Ollie I hope you have a brilliant day today uh obviously with lots of chocolate cake now what else can I tell you about I need to tell you about um what's going on over on patreon where we have released the jewels of Osiris as the monthly reward for May this is a Sudoku hunt but I'm not sure that's really doing it justice uh by dimano because it's the Sudoku hunt in the form of a novel and I absolutely love the idea and it turns out so do a lot of you so the idea is that you you really start to read the read the novel you get interested in the story and then you're presented with a Sudoku puzzle and you have to be able to solve the puzzle and extract the code from that if you want to read more of the story and the clever thing about this is D'Amato has written a story that actually people want to get to the end of and that makes them very determined to solve the satokus so it's absolutely it it is its original interesting uh exactly the sort of things that we hope to hope to have on the channel um and lots of the well lots of the feedback is basically saying it's the favorite it's your favorite your most favorite thing we've ever published on on patreon and that is absolutely brilliant to hear um and if you do get stuck do remember over on the Discord server there's a patron only Channel where you might be able to find some hints and tips um but the other thing I want to do is to read out some name terms of correct solvers of last month's monthly reward which was The Nightmare on Sudoku Street I think I'm going to finish reading the names for this one tomorrow but these people solved all of the puzzles so well done to Alex Kilbourne um Alex I don't know why I didn't pick up your your solution earlier I think it's because you sent the answer in a different color and when I searched use it on Gmail for what I was looking for it didn't it doesn't show your email and that might be why but anyway Alex Alex Kilbourne very well done you you've actually solved all 19 puzzles earlier than I'm giving you credit for here um Gareth Thomas Simon Dixie Irish Peterson now erish I was delighted to hear that your seven and ten-year-old daughters are enjoying Sudoku and logic puzzles and I'll let you in on a secret we've got another kid Sudoku hunt coming up later in May so keep an eye out for that um Paul Wallace Jack Farnsworth Esmeralda Klein resync and Anne-Marie DeHaan zopar cascudo Cara Carolyn offut Carlo pagnogac Carlo pagnagak I think I might be getting the pronunciation of that wrong uh solvig sugardadier uh this this is this beautiful name I love this name but I can never say it solvig UDA dot yes something like that I might be I'm probably getting that wrong but to me it sort of it feels like a beautiful Tolkien name um and I wish I could do it justice Len Sorensen Clayton Newman Sarah vittenberg bittenbarger I think no it's not it's fatenbarga Sarah vaten Sarah wattenberger you have to help me reading names it's completely Beyond me uh and Jose Antonio all of you are brilliant solvers and you've made a complete mockery of my ability to read um anyway with that said and done let's have a look at high temperatures by our vandervatoring and these are the very simple rules normal Sudoku rules apply so that means the digits one to nine in each row in each column and in each three by three box once each digits on thermometers increase from the bowl Bend so um actually I'm not going to do the central row because I can see something interesting about that let's do this one let's imagine this squares of two if this Square's a 2 then we've got to increase from the bulb end so that could be a four and that could be a six and this could be a seven and that could be an eight wow no that would work because as we go up the thermometer as mercury would rise as the temperature increases so must our digits rise as we move forward that's how the puzzles work I've just seen my clock isn't starting hang on that's right my clock's going all is good in the world do have a go at the puzzle the way to play is to click the link under the video as usual but now I get to play Let's get cracking and I'm going to start actually well let's start with the central and let's start with the central row although all that I've just had another thought okay I'm going to actually start with a different thought I can see how to put a digit I can actually see how to put two digits in the puzzle but I'm going to start with something different that I'm noticing about the sysergy of planets that we've got oscillating down column five yeah okay I am going to start with this because that is a one two three four five quintuple I reckon I was just thinking this as I was doing the example there whatever digit you put into one of these circles they've got to they've got to be at least four digits higher than that it um available because if if we made this a six which is this this is the shortest demo it's the same as this one but if this was a six I could go seven eight on one side but I need to go 9 10 on the other side because there must be four digits higher than the digit we put in the bulb and that is the case for each of these planets that we've cut down column five and because in every case we're looking for at least four digits higher therefore the maximum digit I could put into any one of these circles is five so this is a one two three four five quintuple in fact I am going to take advantage of that and do it Go full pencil Mark that's a six seven eight nine into the gaps I don't know if that actually helps but it is it just struck me as a quite interesting um all right now I'm going to return to the first thought I had which is which is to do with a secret alarm thermometers and the secret long thermometers is to think about ones and nines so where can you put a one on a thermometer and the answer to that is in the bulb of thermo because if you try and put it partially up the thermometer this digit needs to be lower than a one and there are no Sudoku digits lower than one so in this row we can only put one in the bulb and that's going to affect our scissorgy isn't it now the other thought that I had about this row is nine where's nine going on a thermometer well nine can only ever go in the tip of a thermometer and there are two tips available in row five but one of them can't be a nine because there's a nine in its box so unless I'm mistaken this is a nine and okay that's not a 9 is it so there's a nine in one of these three cells by Sudoku um now what next okay I think we just carry on with the secret keep using the secret where does one go in row seven it can't go on a thermometer unless it's in the bulb and that can't be a one so that's a one [Music] where does one go in Row three when it can't go on a thermometer unless it's in the bulbs it's got to go here now yeah this is lovely this is really okay all right this is just classic hard it's just beautiful isn't it now I can just keep asking this question where does one go in row two now it can't go in these squares by Sudoku it can't go on a thermometer because it can't go in the bulb and it can't go there by Sudoku so it goes there goes to the fair by Sudoku these two squares one of these two squares and I'm going to look at this row because we know it can't go on the thermometer all those squares or that square that feels very that felt very symmetrical to what we did up here [Music] um right so we get left with a an X-Wing of ones and it feels like we've got seven ones in the grid straight away so now do we look at nines or twos that one of those is what we're going to look at next oh yeah okay I've spotted one thing um okay let me well let's let's ask the simple question what what is this digit well it's the lowest digit that's left that's not one or four so it's two if we try and put two anywhere partially up this thermometer this digit would have to be a one which it doesn't seem to be able to be now that look affects our scissorgy which okay so now I think what we do is we say what's where's three in this row and the answer that is I don't know but it's definitely next to the two in one on one side of it or the other so this square is not a three so this is now four or five foreign [Music] now okay this might be where we get completely oh okay no this is great again actually where does okay where does two go in Row three well this thermometer now is it has a minimum size digit here of three so two can't go on the thermometer so two goes in the end and the same as look in row two where does two go it can't go on the thermo it can't go in these squares so it goes in one of those two positions two ah okay two in this box where does it go well it's more where two goes in row five it can't it can't go along the thermo anywhere other than next to the one and that means two inbox four goes in one of those squares two inbox seven goes in one of those squares you definitely can't go on a thermometer that begins with a four or five so two goes here so two again two goes here two goes here two can't go there because it would it would Clash with the two on the thermos two because here two goes here have we got um we've got seven twos okay we haven't got oh I see look two two in box two is is in the same cells as the pencil Mark for one so where we get this pattern going on where we know the ones are in one of those two positions and the twos are in one of those two positions we can replace that with Central pencil marking because this must be a one two pair now okay where to sweaters this is so clever where does three go in row row three Well it can't go anywhere but in the bulb now so we have to keep keeping an eye on on these rows once we sort of complete the cells in rows that are not on the thermo we can all raise right in the nature of the bulb now look this Square now is not a three so but yeah oh this is a five yeah because now look at this row where does the four go and the answer is in one of those two positions because if we try and put it further away we'd have to put three and a half on the thermo that means this is a five because it can't be a four foreign which means this is a four because it can't be a five so our quintuple now has been finished four isn't one of those two cells by Sudoku three in this row can't go on the thermo so three is in one of those two cells um oh come on don't get stuck right I'm not going to get stuck because this five is Big isn't it this this we worked out was sort of the most extreme digit we could have in a bulb so we now know that these squares are six seven eight nine quadruple and we can improve upon that because we can't put six we can't put six in the extreme and we can't put nine in the middle so these two squares that's not a two is it these two squares on the wings of row two are not a dove they are a three four pair and there's a four here so this is three this is four this is four by stoku this is four by Sudoku so what's that digit two or three by Thermo um okay uh no I thought I was about to say something intelligent and it turned out that my brain my brain had let me down [Music] um five I was just thinking about where five goes in this row because it can't go in these squares right okay so five we know is in one of those two cells that's forced because oh yeah this right this thermo's got something weird going on with it right let's let's actually study this for a moment um yeah Okay so we've worked out that five five has to appear in row three somewhere and it can't be in these two squares by Sudoku now if we were to put it at the end of a thermo we could put four in one cell but then we would have no option so five has to be in one of these two squares and one side of this three is a four five pair it's either this way or this way but we don't know which but we can do better than this because look at this row and six is in one of these two squares now that means I can apply that logic again can't I in fact that's not a six I'm noticing as well but what I mean by I can apply that logic again is I've got to put six somewhere in Row three now wherever I put it it's got to happen and we can see that it's not in these two squares I've got to put it somewhere where I can put a lower digit on the thermo that brings me back to my three so imagine I did this four five and then I tried to put the six on this side it won't work there's no digit available for this Square in other words one side of this three is a four five six triple so there's a six in one of those squares ah six in one of these squares and it is going to go four five six either this side or this side [Music] I've seen something else I've seen something else that's distracted me so I think there's quite a lot going on in this one there's quite a lot going on okay um I don't know which side of this is 456 but the corollary of one side of it being four five six is that one side of the three goes seven eight nine and that means that we can effectively pencil mark this thermometer in a pretty way um this isn't what I saw by the way this is just I think I'm sure this is resolved somehow I just can't see how to do it but what I noticed was I can I can place nine in row two because of the given nine look nine gets knocked out of this Square not only does that not eight out of this Square by Thermo logic where do we put nine in row two and the answer is in one place only I've seen what that does as well look this squares is that one so that's the six which means that's the five that's the four this is the seven this is the eight this is the nine this is a seven this is a six this is an eight uh that's a nine so this is not nine this is not nine um is this good yes yes it is okay where do we put nine in this box and I don't quite know the answer to that but I can tell you um nine is definitely not on a thermo unless it's at the tip and none of those are Thermo tips so nine actually is living in the same cells look as the one as the one down here so that gives us is similar to what we had up there we got a one two pair there we get a one nine pair down here this is not nine so this is nine oh right this is huge well maybe not huge but certainly interesting so nine nine in this box now we can just Place effectively we've got four nines looking at this box and the nine has to go here and that's displacing pencil Mark for three we can't put a 3 high up on a thermo or certainly not higher up than a four so three three goes here and these two squares are five six pair and these squares look like they're four seven and eight four seven eight that's not four have we got threes oh no we're not gonna be at three in the corner I was just thinking we're gonna get threes in the corner today this three rules out that one this one rules out that one and these two don't seem to be able to be threes no threes in the corner today um three is in one of those two cells in box nine uh five maybe in this row we've we've placed one two three and four so the five must be in one of those two cells on the thermo what does that mean four five in this row then so five can't go in those squares so five is either yeah this is lovely it's let's say it's the same sort of logic again where do we put five in row seven now wherever we put five we've got to be able to put a lower digit on its Thermo now what lower digits are available in this row well we've placed one two four and nine sorry not nine nine is definitely high up we've placed one two and four so the only available digit that we could put below the five is a three which is going to be one of these squares which means one of these sides is a three five pair in exactly these two cells now this side you can't put the five look so the five has to go there there may have been a simpler way of doing this but that's the way I've seen it now these squares have got to be six seven and eight and that means this can't be eight and this can't be six uh bobbins I don't think we can do that although what we can do actually is Sim is simpler look where do we put eight in this box well Eight's not down there eight could be here and is here actually because if this was eight this would be nine and it can't be nine so the only place for eight in the box is there which means we get a six seven pair in the middle middle column these squares are five six and seven now can we do better than that yes there's a six seven pair looking at that one ah it's been a naked single okay so this is a six seven pair five is here so this square is higher than six or seven so it's seven or eight so now I've got a seven eight pair here and that that square up there becomes a four of all things um so this square is six seven or eight I suppose ah no that's not six seven or eight there's a seven eight pair looking at it so that's become a six seven six eight seven all go into the grid that squares an eight by the power of Sudoku that is not a three in the corner it's a seven in the corner and now we can put in three five and six again I don't yeah look it's because of the symmetry of these of these thermos because this was three five six although actually the four one seven are in a different order I I don't know I I'm feeling like there's some sort of symmetry underlying this puzzle this square is not five this square is three or six but it's not three if that's three what's this square and the answer is two but then this Square would have no value if that's three and that's two that square cannot exist and that's not a good position to be in so six and three go into the grid five six pair here is result six and five go into the grid um this square has got to be higher than six so it's seven or eight that gives me a pair in the column so these two squares are a three four pair these squares are five seven and eight hmm okay oh I see and see again I think I've missed a trick in this row where's the where does the three go and again I don't know the oh I do I actually do know the answer to that but what I've noticed is because this is a four these are higher digits than four so two and three in the row are a pair in those squares and in fact this three means that that's a three but I think that's been available because this is pointing at do three pair for a while I just hadn't seen it so one and nine go into the grid nine gets placed up here by our old friend our fair weather friend Sudoku this Square here is a five so that means that survive in column nine we get a seven eight here these two squares are four and eight sure that's resolved somehow all right so what's going on in this row five this is the five because it's got to be the next lowest digit and we've got seven or eight here and this can't be seven so that's got to be eight seven eight eight seven um five five and six go into the grid look so now we can get that digit that looks like it's seven which means that's seven that's six these two squares are three and six and that's six looks like it's going to do all sorts of wonderment look and we have finished the puzzle that's just gorgeous isn't it it's absolutely gorgeous I think I I maybe didn't take the most efficient path through that to be honest I suspect I could have got this 2-3 pair figured out a bit more quickly it felt like that when I came across it at the end and I had a three here looking at this two three but what I loved about that actually I love the fact that you could just write in a one two three four five quintuple um I just I don't know why that just appeals to me as a little bit of logic that you can immediately start the puzzle with um what I also loved was the fact that we were sort of jumping around like um Tigger if Pooh had given him too much honey because we could we ones twos and nines at the start you could just bounce back and forward between the thermo rows and and sort of write them all in somehow I don't know how art does this there's always sort of very few given digits today we've just got two given digits and yet and yet it permits this this cascading logic that is incredibly um joyous to solve it really is it's an absolute it's a gift art it really is loved it again let me know in the comments how you got on I enjoy the comments especially when they're kind and we'll be back later with another edition of cracking the cryptic thank you

Channel: Cracking The Cryptic

Views: 48,030

Keywords:

Id: eeaBtJNMi84

Length: 31min 57sec (1917 seconds)

Published: Wed May 03 2023