This Sudoku Was Made By A Clown!

[Music] hello and welcome to saturday's edition of cracking the cryptic where we have a massive birthday special for you today um yeah so so why is it a birthday special well i need to start all the way over the atlantic in seattle um because i think sebastian you've just turned seven today if i'm not mistaken this is sebastian mantilla um who's whose daddy andre got in touch with me and said told me that sebastian really enjoys watching watching the videos so sebastian that is quite incredible to us that we have viewers as young as you are who enjoy what we do is a great thrill so i hope you've had a brilliant birthday with of course lots of cake um and then we need to we need to cross back across the atlantic uh to talk to jack in cardiff um because it's jack's birthday today and steve and your mate who goes under the discord name of cipherhex got in touch to say that you really enjoy the channel too so this is this is all good stuff and i hope you've had good cake as well um as well jack um now and finally we can get to today's puzzle which is called whispered somethings and this is by riff clown and a little bird has told me that it's actually riff clown's birthday today so we're gonna do your puzzle riff clown apparently this is a beautiful puzzle so it seems very appropriate that we should do it on your birthday i think the last time you were featured at least by me um was on christmas day i might be wrong about that but i do remember doing a wonderful puzzle by rift clown in the shape of a snowflake and i think that must have been christmas day so um so yeah it's not christmas day anymore um but anyway 9th event 9th of april is obviously a very propitious day for sudoku and we are going to be trying this whispered somethings any moment now i don't have much to tell you today just an appeal as usual if you enjoy the channel please do like the video please do do drop us a comment we like comments especially when they're kind um and even consider subscribing and all that jazz that would be wonderful now the rules of whispered somethings are as follows normal sudoku rules apply all lines are both german whispers and region some lines don't worry i'm about to explain what these things are so if you are new to the channel and are wondering what these things are do not worry i'm going to explain it digits on region sun lines have an equal sum within each 3x3 box the line passes through and there's an example here it says eg row 6 column 6 which is that cell let's highlight that in blue so that digit is equal to the sum of row 5 column 7 and row 4 column 7. it's equal to the sum of rho and those so each index so let's say the square was a six now these two squares could be i don't know two and four so what we're trying to do is to make sure that for each box each three by three box the line passes through the digits on the line have the same sum so four plus two equals six we could have one plus five here they equal six and then we could have we can't have double three but so we'll have to repeat a combination we'll have two and four down there so you can see these two digits let's make those gray a sum to those two digits some to this digit some to those two digits so as we move through the box boxes um we have to keep the sums equal so let's do the same for this one at the bottom those three cells would have to add up to the same as those three cells it's as simple as that in theory at least now what else adjacent digits along german whispers lines must have a difference of at least five so that's telling you if this square was a let's make that a two now this square has to be at least five different from two so that would have to be a seven an eight or a nine and then say it was a nine this digit now has to be five different from nine so that has to be four can't be three two or one and that's how german whispers lines work now in this puzzle all lines must satisfy both properties so these lines are simultaneously equal some lines and german whispers lines which is a very cool idea i have not seen this before so anyway do have a go the way to play is to click the link under the video as usual now i get to play let's get cracking and i'm actually tempted to get cracking with the line that is the example here because because it's got this single cell instance of itself in box five now it strikes me that it must be impossible for this to be a low number now yeah i suppose one thing i'm i'm jumping over here is some logic i know about german whispers lines let me explain that to you it's a sort of secret but not the secret if you know what i mean um so let's think about how german whispers work because each adjacent digit on a german whispers line has to differ from the next by at least five could you ever put a five on a german whispers line and the answer to that is no because if you do put a five on a line then the next digit is either gonna have to be zero or lower or ten or higher now those are not valid sudoku digits so the first realization is that you can't put five on a german whispers line now what's the implication of that that means every digit on the german whispers line is either a one two three four or a six seven eight nine and the thing is it has to oscillate its sort of polarity changes as we move along the line and you can see that but let's make this a four what do we have to put here now it has to be a digit five different from four so that would have to be a nine the same would be true here but then the next digit has to be five different from nine and that takes us into the realms of one twos threes and fours again so because you can't have five on a line you have to keep oscillating up and down now why does that matter for this digit i think in this puzzle well it means we have to allocate it an upness or a down this now if we were to allocate it a down this that cannot work because within this domino there must be an up this there's going to be an upness here and then upness is at least equal to six and six is definitely greater than one two three or four and we've got to add another digit to it so that's not gonna work so i think this has to be high and the moment we know that this is high and we have to give it a color we will give it the color of the sun of sunshine to indicate a high temperature the moment this is high we can totally hify the whole line all of those digits must be high and all of these digits must be low because we know that the line must oscillate and that means that we um i don't know what that means really we probably have to go through go along the line and and allocate digits but i'm wondering whether we do that at this point or whether we're meant to visit all of the lines but ah ah well i'm going to visit that line because i can do logic quickly on that line again it's the same principle if this cell was low it has to be the sum of two dot digits here one of which must be high and that will break immediately so that has to be high which means it's sunny which means that's sunny and it means this is frigid and cold um now what about that line can we do the same on that line those yes yeah we can actually right look at this little triple here now of its nature because we have to oscillate polarity as we move along the line those two digits will have the same polarity now could that polarity be high if it's if these are both high the minimum they are is a six seven pair and the minimum that digit would be would be a one so this minimum sum of that is 14 which means that this these two cells all these two cells i will and these two cells would have to sum to 14 but it's not possible because of the oscillation if you even if we put nine as the high digit the next digit can't be higher than four and nine plus four is only thirteen so that doesn't work at all oh it doesn't i know hang on it only just doesn't work six plus seven plus one is four now only just doesn't work but it still doesn't work and that's good enough for us so that tells us that the polarity of these two squares while being purple is actually also low so they are cold digits and this is high and we get high high in those cells we get low low in those cells and we're gradually coloring the grid with high and low temperatures now i think these lines which look awfully symmetrical to me are not going to be useful because because here we've got a situation where the line's sort of ambiguous we can already see that those two digits whether they're high or low are sort of mirrored on the other side by two digits that would be high or low there so i'm not totally convinced that does anything so hmm although i have to say if i was constructing this puzzle it's it's these sorts of lies symmetrical lines are always symmetrical lines at the top and the bottom of the grid are a bit sus because that's the sort of thing that you might put in there to start the puzzle rather than these sorts of wavy lines um [Music] no but i'm not i'm not immediately seeing how to do that so let's have a look at some of these uh actual blue and orange digits and have a think about what we can say so this is a low digit but it surely cannot be a big low digit because if it is it's going to push this up so yeah okay if that's a three this is now at least an eight and three plus eight cannot equal a single digit number so that's got to be i think it can be two it can be two because we go two plus seven equals nine and that would work so this square's got to be a six seven or an eight it definitely can't be a nine or this wouldn't be able to be a nine and this square's got to be seven eight or nine because it can never be six because this is at least six in in and of itself um yes you're right if you're thinking that's done nothing okay let's start with this digit then so this digit is also under a bit of pressure isn't it because it can't be six because it's the sum of a high and a low so it's at least a seven which it probably can't be because seven is going to require one six one six and one six in all of those different boxes which although i can't immediately rule it out i'm sure it's not gonna be right all right we'll leave seven in so seven eight or nine into this cell okay yeah and each blue digit along this line has exactly the same property as this cell it must be a one or a two i see okay this is really clever it can't be a three because three would have to go next to eight at least and that's going to break this total um so each of these digits is also six seven or eight so we get i'm not sure what we get but it's not enough at least i don't think it's enough no we still haven't i still haven't found the way into this have i um okay what's the minimum sum of those cells then one plus two ah yeah you can't put six there because if you put six there you can't surround it with double one which you'd have to do because they need to be five away from six so this is at least seven so the minimum sum of those cells is 10 which will be a one a two and a seven now does that mean something so that means the height the high digit here yeah okay we need these these two cells to add up to ten so if we make the high digit a seven this has to be a one or a two and this can't add up to ten so that doesn't work so both of those squares have to be an eight or a nine and that gives us an eight nine pair in column three but unfortunately i don't think that rules out anything from those oh no i'm wrong i'm wrong oh no am i wrong ah hang on no i was thinking i was suddenly back to the world where this was this had to be a small total but that's not true so these have to be at least eight or nine so if that was a nine and that was a one that would be oh actually look you can't put a one oh right hang on hang on hang on column two you can't have a one two pair in those two cells that's really interesting because the absence of these two cells being able to be a one-two pair these two cells being the ones i've just given the yellow flash and they can't be a one-two pair because then you're definitely going to repeat the digit in column two because this is also a one or a two but once you can't put a one-two pair there one of these must be at least three which means one of these must be at least eight because we must be five away from the three so we've at least got a three eight pair in one of these and three plus eight is eleven so now these three cells are adding up to at least 11 which means i want to say that digit can't be a 7 anymore because if that's a 7 it forces a 1 2 pair so that is not 7. so this is eight or nine so can you put a four into either of these cells i'm just wondering because you can't put three into them if you put a four in one of the blue cells you're gonna have to this is gonna have to be nine so you're gonna have to go four nine one minimum which is 14 which is too high again this is really clever stuff this is totally original i've not not seen this combination before it's sort of it's refreshing all the logic both of the region sun lines ideas and the german whispers yeah these three cells if you put a four in one of those because the the adjacent orange digit would then have to be five away from four it would have to be nine so the minimum you could then put into these three cells would be 4 9 and 1 which is 14 and that's not possible to reach because even if you go 9 and 4 you only get 13. so that tells us that this this is a one-two pair because it can't include a three and it can't include a four so the low digits are a one-two pair and the total we're heading up towards is either therefore uh three it's either 11 or 12 12 11 or 12. um now does that tell us anything useful yes it does it i think i think it means this is a two three pair okay given that we know each of these that we know that's those two cells there and those two cells there either add up to 11 or 12 neither of these cells can be a one but by the same token neither of them can be a four because if they're 4 you force a 9 into the adjacent cell so you force the total to be 13 which is an impossible total here so these are i want to say these are a 2 3 pair and now they must add up to the same number and the only way that works is if we combine the two with the higher number so one of these is two nine and one of them is three eight and therefore they're adding up to 11 which means this is an eight to make that 11 with one two pair sorry i'm not sure how much of that you heard but that was fairly dramatic anyway i think i think everything is okay now um and yes uh yeah uh anyway um sorry back to this what on earth was going on outside my room there i do well i do have an idea what it was but it's at least it's stopped now um so yeah we got we got this 11 didn't we we got the 11 we can get rid of 8 here um we've got the 2 3 pair here so that's a one so now we know the difference between this and this is one which means that this can't be nine anymore because if that's nine that needs to be eight which we just said it can't be and [Music] now we can oh this one is looking at that so that's a two and that's a one so one is in one of these three cells and oh i said no what i should do three and four are both cold digits in this puzzle so i'm going to highlight those as well make me feel like i'm making progress right how do we do this 8 is not in that cell anymore is that helping us know what this total is i can see that's not eight so this is oh right so this is seven or nine oh but it still could be seven with can it still be six one six one six one maybe maybe it can actually maybe it's that that's what it's going to be because it's not getting ruled out uh at least i don't think it is right what do we do next then 11 here so we know 11 is going with either 9 2 or 8 3. so if that was 8 3 that would be 7 and that would be 6. oh and yeah that's interesting the moment you guess if i got a six here i would know that this couldn't be seven immediately because that couldn't be six so if that's eight that forces this to be seven no no not seven if that's eight that has to be nine but then the problem with nine there is it it takes all of the tension out of each of these uh region sum lines in boxes six eight and seven oh okay i'm now wondering whether it is these lines let's think about this for a second then we've got however these lines work they've definitely on one side of them got two high digits haven't they if we in fact let's label up the line with some neutral colors so whatever the polarity of this cell is is the polarity of that cell and the polarity of that cell so those are all the same polarity and these are all the same polarity so no matter whether yellow turns out to be high or purple turns out to be high one side of this line has two high digits in a box that means the minimum sum we're heading up towards is a six plus a seven plus a one which is fourteen and the so let's say this is the high one if that if this is adding up to 14 at least this has to add up to 14 but it can't do that those two cells have to be low this time so they can be they could be three and four going with a nine which would be sixteen okay so this so either so the sum the region sum line for both this one and this one is either 14 15 or 16. um now can we do any better than that well so that the central ah yeah i can actually right let's let's just bear with me here so what i'm saying is the minimums if if this is the high side of this line with a six seven there and a one here that's the minimum i can make those cells add up to 14. how could this which is a high digit be an eight or indeed a seven or six but let's look at eight specifically because i think eight is the interesting one if that's eight the maximum size the low digits can be because they have to be 5 different it's a 2 3 pair and that's only 13 and we know that we're looking at least 14 so the middle digit here has to be a 9. ah oh right good grief right i've done this puzzle backwards i've done this puzzle totally backwards okay sorry sorry sorry i did not appreciate this this is just ridiculously clever right why is it ridiculously clever well i'm sure you've all spotted it now but look we've just worked out that the middle high digit on this line we don't know which side it is on this line is a nine but let's think about the middle low digit now which if if this line was in this orientation would be this cell how could this not be a one let's try a two if we try a two here we're forcing these now to be a minimum of a seven eight pair but seven plus eight plus two is seventeen and even if i max those out with three and four which i actually can't do here but if i did that i'd only get to 16. so this can't be a two and why does that matter well it means it's it's always a one but because these lines work um because these lines are the same that they're just reflections of each other that means that in those cells we have ourselves a one-nine pair because the middle digit in each little string has to be a one or a nine isn't that beautiful so this this well i can the thing i'm seeing is it's going to give me a 1 9 it's going to give me this digit here as a 2 and that immediately therefore rules out the ability of this to be a seventh because this has to go well in fact that has to go with seven now because it can't go with six because it needs to be five apart on the line so that's two seven that's nine and that means oh goodness me i don't know oh well one thing it means which might not be important but it might be important is i can now color the top line because because of this relationship but if this is low this is high these those all have to be purple don't they which means these all have to be yellow and we're only a step away from being able to if i can get i if i can get one digit on either the bottom line or the top line i'll be able to color it with with the proper highnesses and lownesses that we're trying to get to so i got my two seven here that can't be six anymore because six can't go with a three here so the same is true there i've not got my head around this puzzle at all um right so this could be seven two or eight one that's the only options uh okay um oh dear how do we do this then and in particular what i really want to know is how i do the lines how do i get knowledge about which way around these two lines go is that supposed to be obvious to me the answer that is i don't know do we know something about these lines these i know these two add up to nine so if that's eight that's one that's nine that's two okay so there's a little parity thing going on there one of these is always eight um i think that's true because either either this is eight one adding up to nine in which case that's nine and that's that's two well this is seven and this is two which makes that three and that eight so one of these is always eight and one of these is always two because we're heading up towards odd totals i'm just going to highlight that does that matter we've got a two in this row and this is a one or a nine and it's the same polarity as that that strikes me as very tricky indeed yeah this doesn't work that's really clever but it's really hard for i don't know why i just couldn't see that immediately it's this four isn't it this 4 is doing magic so the point is what would happen if yellow in fact let's get rid of the yellow there because that's not going to help matters but what would happen if yellow was blue if yellow was blue i'd get four blues in this row and these four blues need to be the numbers one two three and four in some order which one of those are we gonna make four we can't make any of them for so it doesn't work at all and that's absolutely glorious because that means that yellow is orange these are the proofs that we can come up with on cracking the cryptic so yellow all the yellow cells actually are orange and all of the purple cells are actually blue i know you didn't know that before but now we do know that and now now we know the order so now we know that the blue digit is the cold one and then and that's the high digit so that's a nine and surely that's going to do wonders for us isn't it he says looking desperately how this is going to work so that's the low digit and that's the high digit sorry another interruption speaking of birthdays someone in the house it's very nearly their birthday and there's a lot of excitement going on as you could probably hear anyway we're still doing okay we've just had this marvelous breakthrough where we've got the one and the nine um on this line and now for our next trick we are going to how does that help us it gives us no it doesn't give us i was about to say it gives us a nine but it doesn't give us a nine in box two it nearly does but it doesn't nine in box six is only in one of two places so nine in box uh nine is in one of two places i think um um oh dear okay one can only be in one of two places what we might need to do next is to pencil mark these lines and see how they work um oh no no that sees all that sees all the high digits seven eight nine so that's a six so now this line that square can't be six or nine it sees both so that's got to be seven or eight and that means that this line is summing to either 14 or 15 which must mean something for the blue digits in box three so 14 or 15. uh oh no it doesn't do anything that's really mean ah is that really true now that can't be four because that would require a nine here which this can't be but i still don't think we can that could be one four or it could be three two or it could be two i know or it could even be no it could even be two four right that is very very mean of riff clown um so we don't know how to do that this square's a three or a four it can't be a one or a two it's really strange none of these um [Music] none of these blue digits all seem to be looking at these various difficult blue digits we've got left um oh right but i've got a two in one of those and a two there so there's got to be a two here so maybe this is going to help we must bluefy the two we must get rid of the two here which we said that this these were adding up to more noise uh 14 or 15 um so five or six into those squares if that's oh no it's still fine ah oh three four might be impossible now if that's three that becomes four and that means we've got 16 here which is not a possible total is it we need a nine here for sixteen right so that is not three i've now got a one two pair in this column which does diddly squat i think oh you rotten rotten thing no okay sorry that's no good either um wow what are we meant to do probably sudoku i hear you all crying that's normally the thing i i'm not doing isn't it when i get stuck right let us let us expeditiously turn our minds to sudoku although actually there's not a lot of it doesn't look immediately like there's a lot of sudoku we haven't done here we've got got an eight nine pair in column three oh okay so nine is in this domino which i hadn't appreciated before so nine is in one of those three cells in box one ah crikey right okay nine in the bottom row is fourth now there's a nine in one of those so nine is not here there's this eight nine pair here so nine is not there nine is in that box already so i think that's the only place nine goes in the bottom row so these nines now cancel ah no well yeah sorry i was just trying to do sudoku in box six and wondering why i'd already got this pencil mark but that does seem to be valid but anyway these nines cancel out on the bottom oh right yeah this is good this is very beautiful right if you look at we know those three add up to the same as those three but now we've got the same digit on both sides of that equation so that means these two have to add up to these two so how could this be a one if this is a one those two would also cancel out and we would have a contradiction that orange was the same as blue and although we proved that orange was the same as lemon we cannot have the situation where hot is the same as cold not even in this puzzle so that cell is not one which seems to give us a one in this box um oh yeah okay this is interesting now this is very interesting or maybe it's not but what what i'm noticing is i've now got a 3 4 pair here so i now i'm going to be able to get this digit because this adds up to 16 so that has to be a six to make the maths work so now there's a six in one of those two cells in box eight which means we get a six in one of those two cells in box seven we've got um okay where does eight go in box eight it's got to go in the same place that six goes we've got a six eight pair here which gives us this digit as a seven and that's a seven ah so though these two are both seven two this is now a three adding up towards eleven so that needs to be an eight that needs to be a nine that needs to be at two this has to be a five to complete this box these are both high digits now what about those two squares then so they're from three four and nine i think still doesn't well that's not oh okay oh that's weird so that's a nice oh i see i was wondering why i couldn't fill this nine in before but i've only just got this nine so i do forgive myself on this occasion for not doing instant sudoku i've got a three four pair now in column um in column four and i've got two in one of those cells oh no i didn't mean to do that i want to put a do in one of those two cells okay there we go um i want to what else should we be doing oh this three is seeing that digit oh okay so that gets me a four there and a three there and a 4 there so 4 is in this domino 3 is in one of those two places inbox jobby job up here blocks 2 2 is also in one of those cells look that is a 2 3 pair which means we can bluefy that and we now know those squares have to include 5 and 7 and 8 which doesn't seem to be resolved which is very mean um okay uh okay so what do we do now we've got a seven here so that becomes a six which means that must be a seven which means that's not a seven so is this six doing some work for us not really i don't think this is a deeply intricate puzzle isn't it there is a lot lot going on in this now in this column we've got one two three four so we need five six seven and eight uh i don't know if that's resolved or not and i want to get either this 3 4 or this one too i think either of those would would be very handy or can we do any more sudoku six is a little bit restricted in box one so now six is a little bit restricted in book box three seven is being very recalcitrant unfortunately uh one seven and eight in row eight so oh that's a naked single oh yeah that is a naked single these ones are looking at it so that's fine we got a one here we get a one there at the top of the grid beautiful thank you ah that gets me a 2 here and that gets me a 1 here which means this is an 8. so now we might be away this 2 is giving me a 2 here and a three here so is that helpful that is the question surely it's doing something three yeah where does three go in box one it seems to have to live in the same cells that the six does so there's a three six pair here which is looking at this cell so that is a four which means this is adding up to 15 which means that has to be an eight there we go so that's an eight and that's a six that's a five and that's a seven and these two squares have got to be a five and a seven to make the world add up that doesn't seem to be resolved five doesn't deserve a color but seven needs to be hot so we can fill that in seven's in one of these two cells three and six we need to resolve don't we so we can't quite do that and we need four five and eight in the top row so that's an eight by sudoku this is a four five pair and this eight is hot and there's a seven eight pair there which is resolved great so we get eight we get seven we get seven we get five these squares are going to be one three and six which is probably resolved somehow some way but that seems to suggest that this is eight which suggests this is eight this is two this is nine this is nine that's not one we've already got the one here let's not be overzealous um [Music] two two barley mcgrew cup but dibble and grub that's a two by sudoku i think we might have done all the twos yes we do and all of them they deserve to be blue have we done all the ones well i have no idea what that just did uh three oh no hang on double clicking is not working with all the coloring so we've got to i think we've got to abandon that and keep going keep going with the low tech way um three five right what are those cells three and five oh that's doable five and three go in so that's a six by sudoku this is a one this is a three therefore that's a three that's a three that's a three that's a six that's a six we need four five and nine which makes this a nine in box seven uh four five pair here which somehow doesn't seem to be resolved and this cell needs to be a four or five which is also not resolved but hopefully we'll be by something in row six in a minute right so what's this square that's got to be a seven so that's a seven this column needs a something a five i think and this box needs a five so we're just left with fours and sixes here which is that way round and that's great because that gets me this digit which gets me that that that and that that's a four that should be a six and now hopefully with little hold up we should be looking at four and seven so seven and four and tick yay right now i know you're going to get cross with me if i don't highlight all of my high digits in orange and let's make sure we've done that and all of my low digits in blue and i've now done that i should just left with nine fives uncolored that's a super puzzle riff clown that really is that is a it's it's a very clever idea to mix these two rules together but it's very very elegantly executed and completely fooled me with the cleverness of this line here and this line here i even said to myself that's likely to be you know that looks deliberate from the constructor to put these symmetric lines at the top and bottom of the grid but it didn't occur to me at all that they were actually restricted ab initio i don't know whether that would have made the solve a bit faster if i'd got to that one nine these one nine pairs in column five and eight a bit a bit more swiftly but i hope you enjoyed it i hope you had a go let me know in the comments i do enjoy reading them especially when they're kind and we'll be back later with another edition of cracking the cryptic [Music]

Channel: Cracking The Cryptic

Views: 46,441

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Id: 35wKUcSN9BY

Length: 44min 36sec (2676 seconds)

Published: Sat Apr 09 2022