If You Watch One Video This Month...

[Music] thank you hello and welcome to Monday's edition of cracking the cryptic where the puzzle on the screen marvelous though it is is not the one I'm going to be trying in today's video and this is walk in the Mist by directionally um which is the puzzle we've been encouraging you all to do I think some 14 000 people have solved this puzzle which is a very approachable fog of war in fact that's just um what will happen if I reload the page will it tell me hey look we're up 14 739 people so far have solved this so yeah check this out but the reason the reason this is on my screen is because Marcus sent me a link as he's prone to do um when he finds a puzzle that he thinks will be entertaining to gain my or to Garner my reaction to if I open it live on webcam so I've got the link let me um let me copy and paste it into my browser and we shall have a look at coordinate Arrows by Pierre tarto now Pier tato I like the puzzles of this has been sold twice since May the 12th which is three days ago this is Ben's new counter um and okay well actually let's have a look at the grid oh okay well it's more it's busier than I sometimes get with these ones I have to open live on screen let's read the rules together so we can understand why Mark thought this would be a good one for me to read coordinate arrows so normal Sudoku rules apply blah blah blah um digits on an arrow spell out the coordinates for the digit that is their sum what uh the row the row number is written on the start of the arrow column number is written on the arrow tip if for example an arrow looked like this one four let's just write 1 4 into the grid so let's see we can understand if that's one four there must be a five in row one column four because one and four add up to five all the arrows must correspond to different coordinates digits May repeat on an arrow if Allowed by other what okay so this is one of his little jokes I'm afraid because this is well this is quite clearly monstrous um just just there just give me just a second or two I'm just trying to think about this so we add up the numbers we put on an arrow and we put that digit which is the sum of the arrow in row whatever that is column whatever that is and that's this is enough information to solve the puzzle I mean that's absolutely ludicrous that is I mean it's amazing and I'm sure it's right pietato is a is a brilliant brilliant Setter and I think also a brilliant brilliant solver um but I have no idea how we're going to do this um but I will try I will try and do it um Let me let me get my list of other things I have to mention there were some things I have to tell you about today before we kick off um I want to wish um Jennifer a belated Mother's Day um AJ wrote to us um and she asks hey well AJ I'm not sure whether AJ is uh I'm not sure on AJ's gender but AJ said that um that they loved you very much Jennifer and you're the best mother um I guess that means well does that mean you're the Pia tattoo of mothers or the Festival of mothers or the fog of War of mothers I don't know Jennifer but that is that is what AJ asked us to tell you so happy Mother's Day and I'm sorry that that uh I'm a day late with that AJ very nearly got the message to me in time on Mother's Day but I had just recorded the Mother's Day video um now Nicole over in Germany you have turned I think 43 today I know this because your husband Sasha wrote to us um and um I was a bit of a cryptic description of your age but I think I think it's 43 and Sasha Sasha wrote a lot of very nice things about you Nicole but um I thought that the best one was that uh he said that you were his three in the corner and if you've been watching the channel for any amount of time you will know why I think that's very special and Nicole I hope you have a brilliant birthday and then River or river over there in Western Australia River it's your birthday tomorrow but given that this video goes out at 8 30 p.m UK time your partner Alex thought that we'd be better off reading out the birthday um congratulations on May the 15th so that's what we're doing and apparently the two of you do the puzzles that appear on the child together which is I think a lovely thing for couples to do um and right the only other things I've got to mention are related to patreon where of course we've got demonos um Novella slash Sudoku hunt the jewels of Osiris which so many of you have been loving um well I can tell you that to say thank you to dimano uh for creating that hunt for us Mark and I are going to attempt something very special if we don't do this I don't know if we've ever done this on the channel before but we are going to attempt one of demono's monster puzzles um and solve it together in a video um so I don't know exactly when if we get time later today we might have a go at it for tomorrow because I've got to do um uh tomorrow I've got to do scoring at the US Open golf competition at Walton Heath um so that might be tomorrow's video but it should be a video at some point assuming Mark and I together ever can get through one of these monstrous puzzles that de mono occasionally constructs you know demander this is De mono who's famed for everything is Rogan so you can imagine that the um absolute nonsense that dimano can construct anyway Mark and I are going to attempt a dual soul of one of them on those monsters so look out for that if you have any interest in seeing how Mark and I collaborate ourselves I don't know how it's going to go we shall see um but the other thing we've got coming up on patreon I think tomorrow is um a new kids Sudoku hunt and this has been created specially by those wonderful folk in the paint by numbers Institute um and it's it's designed to get your children into Varian Sudoku so it's meant to be very approachable and hopefully fun so I really really recommend that to you as well anyway with all that said and done let's have a look at coordinate arrows uh by pietarte and as I did that I was just thinking I have not got a clue how to start this um but do have a go yeah so click the link on the video I think I just said that now I get to play Let's get cracking I've read the rules um I get two given digits thank you very much for that pietato and well I can't put a 9 on an arrow is that worth is that worthy of that must be true if I put nine on an arrow by the time I've added the other digit on the arrow to the nine I will have to write a 10 into the coordinates indicated by the arrow and that won't work so so in fact right so in fact my little brain has told me something they're a great slaves of this crit that are not available to be coordinated because any any cell in the puzzle that has coordinates that add up to more than nine which is actually anything yeah anything on the main diet anything on the main diagonal adds up to 10 I think yeah let's just highlight that for a moment this diagonal that is Row one column nine so if that was clued with a one nine we'd have to write 10 into this cell that doesn't work and everything below that this screen line won't work because the numbers will be too big let's depict that cell that is row five column six so we'd have to write if that was clued on an arrow you'd have to write 11 into that cell right so there is a great great amount of this grid that is unavailable everything everything above this green line I think is available um I say that without much confidence but I think that the cells at the arrows point to are in oh why did I do that no hang on I'll do it like this it's because of my love of green uh okay so so we have got something we know that those cells are the ones that are pointed at by arrows um right uh I say right this is this is a this is a very interesting idea I will tell you that for nothing because okay so this I think leads to some sort of weird striping diagonal effect doesn't it because that cell if that cell is clued by an arrow it's in row one column one so it would be a two but if this cell is clued by an arrow it's in row one column two so it would be a three but that would be a three as well because that would be a row two that would be in row two column one and if this was clued by an arrow it would be in row two column two which is a four but that would be a four because it would be in row one column three and that would be in a four because it would be in row three column one Nori Nori Nori Nori someone asked the other day why I say Nori Nori when I repeat myself a lot there is an old video in which I had to solve a logic problem it was a Sudoku hybrid involving the logic problem Nori Nori and I must have said Nori Nori in that video about two thousand times so when I have to repeat myself a lot I say Nori Nori um but doesn't it I think this just continues doesn't it that's row two column three that's Row three column two three and two add up to five that's Row one column four that's row four column one so this is just going to stripe this is just stripy stripy stripy stripy no eight eight eight eight eight eight eight eight nine nine nine nine nine nine nine nine except I can't put nine on an arrow hang on what's going on now I've broken this um right now this is this is even more interesting so if yeah so if an arrow let's say this arrow down here clued that cell that would be cluing row two column seven which would be that and that would be but that we know that to clue this cell you have to put a nine into it because two plus seven equals nine but if you do clue any of the cells on this diagonal you end up putting a 9 on an arrow which you know you can't do because then once you did this you have to look at the effect of having a nine on an arrow and whatever this digit is you're going to have to go off and put a double digit number somewhere in the grid which doesn't work so actually what this tells us is you cannot clue this you you simply cannot clue this green stripe of nines you just cannot these are not available to be clued so now now I've limited how many arrows have I got one one two three four five six seven eight nine ten eleven twelve I've got twelve arrows yeah this is very interesting actually this is very interesting because I've got 12 arrows I can only pinpoint cells I don't know how many cells I've got left I've got 28 triangular number for seven in fact this is such a beautiful pictorial representation of triangle in numbers isn't it because this is like a big snooker triangle seven six five four three two one and I know the Triangular number seven is twenty eight one plus two plus three plus four five six plus seven plus eight nine so of my 28 cells 12 of them 12 of them are highlighted but look if you look at the sevenths for example I I can't I can't have coordinates referencing more than two of those six sevenths in the grid because if I did there would be three sevens in two boxes because the sevens are only appearing in this box and this box so actually the actual number of discrete possible digits that we can do here that we can do the two we can do one of the threes because if we did both threes we'd have a repeating box one so we've got one two three for a four now now it gets worse because the fives you could have three fives one two three uh so how many how many digits I'm up to now I'm up to six now six is I could have one two three I could have two sevens uh but I can have a lot of eight one two three four five six seven eight nine ten eleven yeah eights are a problem aren't they eleven twelve thirteen fourteen fifteen sixteen ah I was hoping I was gonna get something clever there but I don't I get 16. 16 eighths no so 16 8 I get 16. possible different digits but I've got 12 arrows to fulfill so that's not it's not quite as good ah maybe it's this six seven right these cells are not green because I can't I can't put well when I say not green I mean I cannot reference either of these cells because of the Sudoku but that doesn't affect the count I just did I got rid of a seven from this diagonal one of these could still be a seven I get rid of six from here but one of these can still be a six um hang on if I put an eight on an arrow isn't that going to require me to put a 9 on it no it doesn't oh hang on hang on I'm going I think I've lost I think I've I've lost my train of thought now if I put an eight on an arrow no no it's yeah no I am right I am right you can't put eight on an arrow you can't put eight on an arrow because if you put eight on an arrow we know you must put nine on an arrow because we know that the the cells in the grid whose coordinates sum to nine are all Arrow cells and that's impossible that's why we were able to delete this diagonal so your first thought is normally a good one you cannot put eight on an arrow because to do so you you're going to end up referencing one of those cells which which is on an arrow so these come out uh let's get rid of everything there that comes out now hang on hang on I'm going back to my I'm going back to my first thought now because I've just I've just got rid of two possible boxes for Eights uh but I've still got three possible cells for Eights so I've lost two uh so I was at 16 wasn't I so I'm now 14 versus 12. I've got 14 possible different maximum possible different digits that I can reference but I'm only allowed I've only got I've got 12 arrows to do that for that's absolutely fascinating isn't it I mean there are some other things I can see like you can't make both of those a six now can you because if I do try and have so if I try and have three sixes that doesn't work anymore this is so cool if you have three sixes you have one of these two is a six doesn't matter which one but then those two both have to be six but six plus six is put the same put a 12 in row six column six that doesn't work so I can't have three sixes so I've only got a maximum of two different sixes now must be right that must be right so now I'm down to 15 15 out of no no I was at 40. now I'm down to thirteen I've got 13 possible different digits and 12 arrows to deal with now how do we get rid we've got we've just got to get rid of one more and I'm not even sure what that's going to do but it's so it feels like what pietato is making us do doesn't it I mean we're literally forced to do it um why I'm not sure actually thank you see I know I was wondering whether I could get rid of two on the basis that would have required a double one Arrow but actually look a lot of these arrows do I mean you can't put double one there that's going to break the rules of Sudoku but you could put double one there so in fact you could put double one in a variety of places so that this one doesn't seem to be able to be ruled out so I can't get rid of a digit easily that way what about this box then I can't put nine on an arrow can I so nine in this box is a bit restricted um now if I put see this is the bit of it that I yeah I've got I'm having exactly the same um mental block that I was just dealing with but I can't put eight on an arrow in this box either for exactly the same reason I couldn't put eight on an arrow here it's exactly the same but I just had to go through the same thought process again because my brain is useless um if I put eight on an arrow in box nine it's the same problem because I would have to accompany it with a one I'm going to hit this stripe of digits with a nine putting a nine on an arrow which doesn't work we've already said that so eight is in the same position down here that 9 is so now presumably we look at seven do we so if I put seven you see I can yes I'm never ever so seven has to go with one in well if seven is done an arrow in this box it has to go with one because if I put seven with two we know that is referencing a digit on that diagonal where it will be on an arrow and we will put nine on an arrow and that doesn't work so 7 goes with one so but that doesn't seem to work either so so maybe I can't put seven on a on an arrow either in box nine this might be where I was meant to start the puzzle you know rather than thinking about thinking about this stuff I've been doing up here seven seven and one is there but that doesn't work because that puts eight on an arrow where we know eight can't go because of this iterative thing and one seven is there which is on an arrow yeah this is beautiful it's really clever and very hard to just see I think there will be those of you out there who just see this but unfortunately I'm not just seeing it but hopefully I'm explaining it if if we put seven on an arrow in box nine because we can't we have to avoid this diagonals coordinates like the plague we're going to be in a 7-1 land but we don't know which order it will be in so we don't know whether we're looking at this square or this Square but one of those will be will be hinted at by the arrow if we put the seven on an arrow in this box but the problem here is that both of these purple cells are themselves on arrows so we're going to write eight into one of these cells but that means we're going to have to but we'll kind of have to accompany that eight wherever it lives with a one and that's going to be an 8 1 Arrow which is putting a 9 on the dreaded diagonal where we're not allowed to put the nine because that will put 9 on narrow and that will require us to put a double digit number somewhere in the grid so Nori Nori we can therefore say that this is in fact a 789 triple that is not a seven now we have to put six on an arrow and we mustn't put we know we mustn't partner six with three because six with three is going to put us on the naughty coordinates in here isn't it whether it's three six that one or six three that one we'd end up on the naughty diagonal so 6 is going with one or two now if we put six with ah it's so beautiful it doesn't work again for the same reasons as before six and two are those two squares yeah I think we should have started down here six and two are those two squares um whether it's two six or six two but that's putting an eight on an arrow which is going to put a nine on an arrow which is going to break the puzzle so therefore right therefore one of these arrows is one and six I have no idea how to show that but what that's doing is putting a seven into the grid in one of those two positions that's Jolly exciting how on Earth do I record that one one of I don't really know how to do this um I'm just gonna I'm just gonna imagine for a moment this is a one six pair and just make it purple just just because I want to try and record the fact that somewhere on an arrow in this box is either a one six or a six one arrow and it's going to be pinpointing a seven in one of these two squares taking one of the two sevens we know could possibly exist on this diagonal okay okay so let's check five down here then so five well five can't go with four we can say that straight away because five and four are highlighting those two cells which is on the naughty diagonal five and three five and three that's Row three column five and row five column three are these two cells so they would be clueing an eight and if that was the case what would the other digits be that we'd be left with two and four so that would be cluing a six in one of these two positions that almost feels interesting because that would be ruling six out of here whichever way around that was um [Music] five two and five two and three four are both on the same diagonal oh that's it that's it's so easy oh my goodness me I'm so sorry right right oh goodness I even I've even LED myself to this and failed to drink the water ah The Mystic chords of my memory totally failed the um right you cannot put two and five together in this box on an arrow because the other Arrow will be a three four arrow and you may say well what's wrong with that well the combination of one six two five and three four whatever the order is whether it's part row five column two or O2 column five row three column four row four column three obviously this is all pinpointing stuff on this diagonal so if there are two other arrows in here there's a let's just show you if that's 2 5 and this is three four this is all pointing at putting a seven it's telling us to put three sevens now this box along this diagonal well that's not going to work there's only two boxes for the sevens to go in so we will necessarily repeat a seven so the five doesn't go with a two so that's it isn't it that's it we've done it so what have we done it the five the five can't go with a four and can't go with a two so the five goes with a three we don't know where but it goes in this box with a three somewhere which means the other the other arrow is a two four now this this is all completely arbitrary I don't know where the one six or the six one or the three five or the five three go in this box so the two four or the four two I just know that this is the order of of play this is what we will find goes on each Arrow so now well now what do we know what's this telling us this is telling us that one of these Eights so let's let's give this a color one of these Ace is being highlighted by this and this one will make orange and that's telling us that either O2 column four right okay well this this does allow me to do the logic I was trying to do before because now well now this digit can't be high can it in fact it's a one or a two no it's not it's a one it's a one it's a one it's a one right let's let's be very precise about this right first thing we can say is this is not possible this cell here cannot possibly be coordinated with say a double three here three plus three equals six it would require a six in this cell well that's not going to work because this Arrow or this Arrow would be broken because the digits on it would add up to 12 and we can't write at 12 anywhere in the grid so this cell loses its greenification and loses its ability uh to be a six now this Square therefore because we know the maximum digit we can put in on an arrow is a 9 this has to be a one two or three but we can't we know we're not allowed to do the naughty six three combination because that's going to put us a 9 on an arrow so that comes out 6 2 doesn't work because that's going to be here oh in fact we wouldn't we do know the order actually because the 6 is always at the start of the arrow here so row six so it's always so if it was a 2 here we're always pointing at this cell which we can't do because that's on an arrow and that leads to the iterative Nori Nori naughty purpose if we put if we make this a two that's an eight but that means this is a one because we can't make this Arrow add up to more than nine and now we're plonked into this square with a nine which means this arrow is going to point at at least a ten that doesn't work so we can't do that that's got to be a one and that means we that means this Square well hang on ah so I've got two sevens in the grid oh this is really this is really cool this is really I mean this is just uniquely brilliant from pietato absolutely amazing because look now this is saying row six column one uh this cell is a seven which means this one which we don't know where it goes in this box is not allowed to also cue clue this cell because each each um each arrow is pointing to a different coordinate so we can't have another six one Arrow so the one so this arrow in this box has to be a 1 6 arrow and it's pointing at that cell so this in fact gains its perplification this loses its publication and gains orangeification don't know if I know which one of these is the six still no you don't that's so strange because I don't because I don't know the order of the 2 4. and whichever one of these is the six it has the same effect of putting of putting a seven here but that means ah so that means none of these are sevens so they lose their greenification now seven in box five is restricted I'm not sure whether I can put seven on an arrow if I put seven on the if this is seven on them no no this doesn't work you can't put seven there if you put seven there I've got to put two there and that feels like I'm putting a nine in a naughty place um row seven column two which is that cell would then be a nine and that's on the naughty diagonal where we can't do that so that's not seven so seven by Sudoku and a bit of jiggery pokery and box five goes exactly there and therefore because that's not an eight that is not a green cell which knocks another o I'm gonna do I'm gonna do recount now of of my green cells because I'm not sure when I did my count of sixes did I I know I did some thinking about whether I could I knew I couldn't have three sixes but ah there isn't this enough this is enough because once I worked out I couldn't have three sixes I got to one degree of Freedom didn't I and I've just got rid of an eight here so I don't think I think we might now be in a position where we can say for example there has to be a double one arrow in the puzzle let's just do this slowly so how many different green cells could we possibly now have referenced so we can have we know that these are referenced one and two we could have two eighths on that diagonal that's four we can have two sixes now so that's six although if we did have two sixes we've got to be a bit careful I don't think I don't think those two could be sixes I think you'd have to have that one but we come back to that what a one hang on one two three four five six we could have three fives seven eight nine one four ten one three eleven one two is twelve this is it this is it and now we are quarate we have got twelve possible digits we can place because we can only have one four obviously can't have I couldn't have I couldn't have arrows pointing at that one and that one that's going to lead to two fours um so I need I need to have three fives I need to have three fives so I've got so those in the finished grid these cells are actually fives um I don't know how and now I don't know how to do this because I'm just sorry I'm just trying to think about what's the right way to well yeah for example I know this is a two in the finished grid I know one of these is a three I think what I'll do what I'll do is I think we might be in a position where we can lose the greens actually um and what I could do is I could replace this with a pencil Mark III I know there's a three in one of those two and I know it's referenced I know there's a four in one of these cells and I know it's I I know it's it's got to be referenced by an arrow I know there's a five in one of those it's got to be referenced by an arrow I know these actually are five so they need to stay there uh now let me come back to the ceiling thing I was doing about this there's a six here and a six here now I know there are two sixes being referenced so this is definitely referenced by something and it might be this but it might not but if that was also if there was so let's say there was a 2 4 arrow in the grid and a 4 2 arrow in the grid that would be putting sixes in both of these squares but both of these arrows then would be referencing the same cell row six column one and that's not a I think that's not allowed all the arrows must correspond to different coordinates no they'd be out they would be pointing at the same coordinate so this this disambiguates the six this is so beautiful it's so beautiful just I hope I hope everyone's seeing what this does so because I need two sixes to be referenced by arrows I know this is referenced by some arrow in the puzzle that stops this being referenced actually because it because I I'd have both of these arrows pointing at the same coordinate and that forces this to be referenced by an arrow but this is not capable of being referenced by the 2 4 that I've got in this box down here so this box down here must now point at this specific Arrow which means that it means to be in Row 4 column two so I mean this the problem is that this might not be here but we do know that the first digit is a four and the second digit is a two now does that mean yes I see right now remember also we worked out that row six column one is pointing at this one so this one needs to be pointing at at by this one which must be Row one column six which means that digit is not six this digit is not a one so this is a one or this is a one six error oh this is so easy oh right now this has been available for ages look this Square which we know was being referenced by the one six in this box well the six here rules out those two tips just from containing six so this is right this is an actual six and a one because that's the only place we can put the six the column six in box nine so now there is definitely whichever one of these arrows turns out to be the orange arrow there is definitely a two in one of those squares and definitely a four in one of those squares now so there's a three five or a five three somewhere it'd be nice to know which of the eights was being referenced wouldn't it seven seven is down here I'm not sure whether I can put seven on that Arrow yet I put seven on an arrow no no but you can't put seven on an arrow and the reason we know that is simply by color we can just look at the grid and say are there any green cells in row seven or column seven no there aren't so how could I possibly put a seven on an arrow you can't do it um because we know that everything is referencing a green cell up here oh all that cell that's actually open and record recall that one's green so that that's clear uh this is a seven that doesn't do any magic down here um no okay uh six six is in one of two places in box five uh the crow cores outside my window and we get stuck do we well we had a good run at at it actually it went far better than I thought when I first read the rules I'm not sure I'm not sure exactly how to approach this now I mean I can see that um it's not even true what I was about to say what I was about to say I I just I'll say it because it was how I was trying to do it is that yeah I mean I've got to I've got to put three fives onto arrows don't I because I've got to clue these two in column five and this one in row five so I've got to put three fives on arrows and actually these arrows well it's quite difficult to put fives in a lot of space I mean that one could have a five on it but only here how many have I got I've got one five on an arrow so I need two more fives on arrows I can't put five at all on that Arrow or this Arrow right hang on hang on hang on Let's do let's try and do this actually a little bit um I'm not sure I'm not I'm sorry I'm just not sure how to do this to um row I've either got Row three because I singers I don't know what this is so it's either Row three column five well no actually I've got to find Row three column five and row five column three don't I because that's that's the implication of this but without knowing what that is oh well it could be this one I don't know um I'm not exactly sure what I'm hunting for that definitely can't take a five that definitely that definitely can't take a five that cannot have a five on it that cannot have a fire it's really interesting the way the geometry works here so this could have a five but only in one position this could have a five but only in one position we know there's a five possible here hang on at least ah and I've got another one here oh bobbins wherever um okay wherever the five is in box one is going to stop one of these one of these arrows from being yeah I mean imagine that was a five you can't then put a five on that Arrow at all so that would be removed and if this was a five you couldn't put a five on that Arrow at all so that one would be removed so I can't put fives on both of these arrows only one of them so now I get a count of one between those two arrows two for that arrow and three for the arrow in this box so I think this Arrow has to have a five on it I know that's a very mild deduction um I think it's I think that felt felt correct didn't it it felt logical and we've got five we've got threes fives and then this Square which is Row one one five one of them has to be that can't be one five actually because there's a one in one of those squares by Sudoku because of this one so this one can't be one five um I was about to say but there has to be a one on an arrow in this box but that's not even true um right okay so how do we do this what's what's the way of doing this with some sort of a plum is there a way probably not um I don't know oh bobbins come on Simon use your brain do I know or maybe I've actually got to think harder about the specific order of these eight Clues so one of them will be three five one of them will be five three is there one so the one okay so the one that's three five that's more difficult I think yeah that is more difficult yeah one of these is three five a needs narrow so it has a five in its second position now those can't be that those can't be that that can't be that that can't be that that can't be that so it's either this one or it's the one in here oh that's no good is it that's I don't think that's any good and then one of them is five three which is much less restricted although if we knew where the three was in that box it would be helpful and then one of them is what which was the other one one five one five okay so that's got a five at the end of it as well ah hang on hang on I think I've missed something here this clue has to be referenced by a one five clue so the five is the second digit it's in the tip of the arrow now which which arrow tip can take a five nothing now this is it this is it right so the only arrow tip that can contain a five at the end but have a one at the beginning which is what's required for this Square I think is this one I'm just going to double check this five can't go here five can't go here it has to be in a tip those two are out this is three five or five three in some order which we might actually know what the order is in a moment yeah so there's only this one so this is one five which means that is not a one and oh and we know the order of course we know the order is one five so that oh see this is where it's going to get really interesting if I could just we'll do hang on because the other thing I was thinking about is whichever one of these eights is three five which is this one because that's got to have a five in the second position in the tip square and that can't be in any of those or that one so this we so we now know the order of this Arrow it's three it's got five on the left five in the tip so this this is a two five pair now and this is a three four pair now but we still don't know the order of this at least I don't think we do that five doesn't do it doesn't look at the two and the five right so sorry so now let's now now what we should do now what we should do is try and tick off what we've what we've referenced so this one five is referenced that so let's give that I don't know if we give it a color or something but that's done this one in this box whichever one it is whichever one of these these squares is actually blue is doing the this one so that one loses that we haven't done this one yet and this one is row five column three so I'm going to think about that in a moment especially as that can't be a three and I'm getting very confused about this I want this one this is row five column three and that means I've got to put a five three in that order so that doesn't work that one might work right so so let's let's take off ones that don't work this doesn't work because that would have a five in its beginning that doesn't work because of this five this doesn't work because of this five that's got a one at the end so that's no use that's got a five here so and this one can't be five three because of the three here so it's only this one this is far ah this is five this is three that's this this Square so these three need the same color let's gratify them though this is lovely this is lovely now I get a five there and therefore this one loses its greenification and that one we're gonna have to figure out where the coordinates are for at some point the three gets placed up in the in up in this box where that loses its greenification um three is in one of those cells by Sudoku oh look look look look the three here tells that we're finally gonna know uh we've got this I've got this in the wrong order so this is for this is three and we know four goes with two and three goes with five so the three five pair needs to be that one doesn't it so that we've got to change these over this was wrong um that becomes blue that becomes orange I don't know I don't like the way I've got two digits yeah what I should do the 2 4 is Lim is looking at that one and then this is really let's let's give the one a little color let's give that light green because that's doing that one so these are this these are both done that one is not really it's not dark green so it doesn't need to be referenced so in terms of what things have not been referenced yet that are that are green it looks like a whole chunk of fives I've not done whichever one of those is a four there is a two isn't it so it does need to be a double one Arrow which could actually be there um there is a three in row one column two so there needs to be a one two Arrow somewhere foreign on an arrow in box two and there's definitely a one on an arrow in box three how many ones I I suppose I do I do need a lot of ones on arrows actually how many ones do we need on arrows I need well I need two ones on arrows for this two because it's got to be a double one Arrow so that's two three because that's Row one column two so one one two three four five six seven eight eight is the minimum I think eight is the minimum because what we could end up with is if there's a four in either of those two squares wow I was about to get very excited about Sudoku all things but I don't think I have the right to that square by Sudoku sees a lot of different digits on two three yeah that's a four or a nine how do we get rid of nine from this square if that's nine does that do something to anything nines are very difficult it's not on an arrow so I think it can be a nine I think hmm [Music] anyway where where was I I was thinking about once I was thinking about how I need at least eight I need at least eight ones on arrows this one is annoying though that's on two arrows so does that count as two yeah I suppose it does it counts as two so it sort of offsets this one so one two oh well maybe it's a box count of arrows oh I've just noticed something there's a one here so one in one of those squares one one might be where we have to look actually I think I've I've sort of not appreciated what's going on here hmm and just think about this um how do we do this what is uh what's the trick so no sorry and I'm I'm sort of jumping around and my brain is flitting all over the place trying to work out how this this this this fits together but what I was wondering about is I know I've got to put eight ones on arrows but this Arrow I think is really annoying because if that Arrow did if this wasn't two arrows at the same time then you can't put a one on an arrow in that box so the question this is the obvious question to me was okay well there are I know there are eight ones in the rest of the grid because that's got to be a one in that box so in all of the other boxes there are eight other boxes there are eight ones and if I knew I needed to put them all on arrows Happy Days happy days because that would immediately give me a one here for example because I'd need to put a one in this box on an arrow it would have to go there but I think it all gets slightly knocked out of kilter by this being on two arrows which means that yeah all of this all of that sort of lovely conclusion Falls by the wayside because I don't need to have well the next unless there was a four for sure in one of those squares that would do it as well because that would that would up my required ones count to nine nine on arrows and then I would need a one in every box to be on an arrow humbug um so okay I'm not sure how to do that it's possible what I should be doing is sudoku which of course I'm very reticent about doing uh six is in one of those squares let's have a think about whether we could work some other form of logic here eight maybe eight is a little bit restricted in this box here so eights in one of those squares can we put no I surely can't put eight in the tip of an arrow because that same column eight has got a green cell in it which it certainly doesn't so that's got to be an eight which means that is not an eight in the corner I didn't really think about the Sudoku implications of fixing all of this Box's geometry did I like there's a three now and one of those squares what about well hang on hang on hang on by Sudoku I can't surely it's the same logic well in fact it is where does nine go in the top row I can't put nine on an arrow we'd established that it was the very first thought I had so nine goes there that's really annoying because I wanted that to be a four um now this these squares are now one and four which means and they're in they're in the tips of arrows so that's one of them is highlighting something in this column and one of them is highlighting that cell that's the only thing it could be column now now I've confused myself I think that's right though isn't it one of these is a four The only green cell I've got in column four is this one so that means one of these arrows is a one four oh it's not this one because that can't be a one so it must be this one so that's one that's four that's one and this one four arrow is is doing that cell so these all need their own color let's give them their own color to keep ticking off things that we've actually kept track of now this Square well that this is interesting as well because this can't be the two because if it was the two it would be a double one in this box so it's either this Square which would require this to be a four which it can't be or this Square which it can't be oh this is beautiful please please let this be a four well what I'm four I mean I mean cluing this Square I'm gonna think about this hang on um so this needs to be clueing some a green cell in column one it cannot do this one it cannot do that one this one's already been clued by this clue so there must be another green digit in column one and the only one that you could possibly have is a four here and if that's a four this is a three three plus one it's in row three column one these this but the the exciting part about this I'm sure you've all got it already the exciting part about this is not actually this it's the fact I've slipped another um I've slipped this four now into a into a one position um sorry I realized that's probably not the most descriptive thing I could have done in my life oh that's a six by Sudoku yes it is that's a six that's so that's an eight by Sudoku and that's uh not a four that's a seven okay so there's some things there's some things we can do with Sudoku but I'm going to come back am I jumping around again eight in this column I'm going to do that first I haven't been looking for threes in Corners by the way eight nine I'm not oh no threes in Corners no threes in the corners the puzzle has let itself down but I will forgive it because it is one of the most beautiful things I've ever done in my life now three I was almost going to say is in one of those quests I I've got to come back and tell you tell you about once that that surely is the point of this so now if we do the count of how many arrows in this puzzle need to contain a one on them we know well we've got to get rid of the eight we've got to get rid of the green for these squares because these don't deserve it um but one two three four five but the the two should have double one so that's six seven eight nine there need to be nine ones on arrows yet this box cannot have um a one on an arrow in it so how on Earth do we achieve this well the only way we can achieve this is because this beautiful Arrow here does double duty so that that takes care of two of the arrows for this box but I still got to put in the other boxes seven ones on arrows and there are seven boxes and there are no other arrows that look at single cell like this one so every box every box needs to have a one on its Arrow have I already done oh this would be so sad if I've already sort of now I haven't no no I really haven't look this box needs a one on an arrow well that means that it's not there so it's got to be here and that look look look look look that's the double one um oh I'm running I'm sort of I'm I'm not doing a very good job of keeping track of this semi I'll make this red again just uh just because I need to keep track of things um now what about there's got to be a one now on an arrow in this box and it's well it's not there so it must be here I think it feels right so that's a one how many ones have we got uh I've got all of them now okay all right so that's that's as far as that logic's going to take us but what we ought to do now is to mull over what arrows have we not used so we've got this Arrow this arrow and this Arrow three arrows and they've got to cater for these three chubby jobbies now this is saying a row one Joby Joby because it's this is in in the start of the arrow so the only Row one Joby Joby we've not used is this one so that needs to be a two and that means that's a three using pencil marking and that's a four and now this column needs two and nine and some however that's not resolved never mind these squares need to be four six and seven so that is a naked single four and that doesn't tell us anything bobbins uh three eight and nine into these squares okay but okay but when we did the one and the two we need to keep track of the fact we've now done that Arrow haven't we so let's use I don't know let's use orange again um now this arrow and where was the other one this one let's do this one we've got a digit on this one so this is column one which is this string and it must be that one there so that's got to be a four I love the way as well this is actually sort of working isn't it in the sense that we're not getting clashes as a result of the logic that's requiring us to place a four here and then we can just finish this off by saying what is the coordinate of this well it's row two column three so that's row two that's that's a three and it's not clashing because logic sort of works doesn't it and then we've got a two nine pair which is there and there these squares down here are some things four and something three is it I think it is a four three pair um okay let's finish off this row so that's a six Now by Sudoku look this has got to be two and seven I don't believe it okay that's not done two and seven these squares have got to be five and nine that is done at least that's got to be the five that's got to be the nine um this column has oh look where does seven go in it it's got to go here and that gets me the nine and the eight this Square here is an eight by Sudoku and this is an eight by Sudoku this this row needs four and nine and it nine goes here four goes here we need two three and five so we can do that yes we can we can that gets me the two and the Seven at the Top This is a five by Sudoku these squares here are six and nine and we can't do them I don't think um the seven here does some seven and sixing the nine in the corner does the nine and the twoing we need a four six pair that's done so four six six nine this is a three by Sudoku that's a nine and in this box we've not put in I'm just savoring this moment two and eight it does look right actually it really does from a Sudoku perspective come on yes the solution is correct which I think means that um it's got it knows it knows it's right salt since May the 12th too is that because I've just increased it I don't know I don't know but what I do know is that is a quite incredible puzzle from pietato that is just that is unlike anything I've ever seen before in Sudoku it's completely mad and completely gorgeous I mean the fact that you can sort of start it by by working out that everything has to be in the top left hand corner of the grid and that that has implications you can use ah it's just crazy clever I I mean I am sort of lost for words at how uh and lost in admiration it's beautiful there are so many things about it that that this whole idea of making the nine diagonal have arrows on it and therefore knocking it out of play I mean who has that idea I don't know the atato did though that that's that's one of my favorite that's one of the favorite puzzles I've ever done on the Channel full stop it's just it's that good it's crazy wow Nori Nori let me know in the comments how you got on with that one I will be looking at the comments with interest if you enjoyed the video please give it a like please give it maybe even think about subscribe thriving you never know more like this is to come I'm sure but that was Sensational and we'll be back later with another edition of cracking the cryptic [Music] thank you

Channel: Cracking The Cryptic

Views: 76,518

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Id: GgNUFGVJxtk

Length: 73min 2sec (4382 seconds)

Published: Mon May 15 2023