Sudoku Hero Teams come in triplets.

FullDeck and Missing A Few Cards solve “Super Index” by Will Power. A Sudoku using Super Indexing and the Ratio Pairs constraint.
Solve in Sven’s SudokuPad WebApp: https://sudokupad.app/xft0jzfng5

📋 Puzzle Rules:
• Normal Sudoku rules apply.
• Super Indexing: All Cells in the grid are Super Indexed. Except for the special cases, where the cell is indexed to itself, all cells are each connected to 2 other cells in the grid, found by switching number, row and column.
e.g. If number 7 is at row 2 column 4, then number 2 is at row 4 column 7 AND number 4 is at row 7 column 2. (The row becomes the number, the column becomes the row, and the number becomes the column)
• Ratio Pairs: Numbers with a black dot between them are in a ratio of 2:1. Not all dots are given.

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Hi I’m full deck I’m still missing a few cards you will always be missing a few cards won’t you I’m I’m going to miss more and more over the time but my my deck will probably be less full as time goes on we’re happy to be back uh

Solving another puzzle guest solve for brimstar um today we’re going to be solving well we’re going to be trying to solve hope so hopefully we’ll be solving uh super index by willp power and so uh let’s get to the rules because we took a look at this while we were setting it up

And to be honest the rules scare us a little bit no it’s just that we don’t really understand them yet well that’s well okay maybe they don’t scare you they scare me because I don’t understand them quite yet if they’re scary enough this will never see the light of day

This is true this is true but we hope that the video itself will wind up being short enough that people get this a go because generally when we’ve solved Willow puzzles before we’ve really enjoyed them so let’s let’s see what the rules say all right we’ve got normal

Soku rules apply that means every column and every oh sure try to steal that one so you don’t have to explain the next complete set of the digs 1 through n you can do the rest of it oh no no no yeah so every row every column as you were

Saying and we’re all used to this by now um unless you’re brand new to watching uh variant stoku in which case welcome to the community um so each row each column each box completes out of the digits 1 through nine now comes the interesting rule this is called can we

Do the end rule first no this is the next rule in order we’re going to go through it we’re going we’re going to do this okay super indexing what super indexing well I’m about to say so super indexing all cells in the grid are super indexed except for special cases where

The cell is index to itself and we’re not quite sure what that means yet think but we’ll we’ll we’ll play we’ll we’ll see um each cell is connected to two other cells in the grid found by switching row number and column um so if we’ve got a there’s an example given

Fortunately so if we have a seven at Row 2 column 4 then the number the digit two so we’ve got the row is two it becomes our digit that we’re going to place and it goes into Let’s see we say later that the row becomes the number the column

Becomes the row and the number becomes the column so the row two becomes the digit we’re placing the column which in this case is column four becomes the row so we’re going to be placing a two in row four and where in row four in the

Column that was given by a digit here so row four column 7 becomes a two now and we can iterate that and we can iterate that yes so now we’re in row four so that becomes the digit that we’re placing and we are placing it

In I can do this we are placing a four in the column it comes the row so this was column seven so we’re going to place a four in row seven row seven two yes and this digit tells us which column so row 7 column 2 becomes

The four the four because that’s the row we were in before so we’re sort of cycling through this now if we were to try to do that again we are now in row seven so we would be placing the digit 7 and where would be we be placing it well

We would be placing it in row row two because we were in column two so we’ be placing it in row two and the column we would be placing a seven in is given by this digit which is four so we’ve now come back to the beginning of our our

Cycle so that looks like we get cycles of length three looks like cycles of length three to me the self- indexing one though that’s the what if we had a one in row five column five if we had a one at row five so right now we’re still

Playing we are not puzzling we are trying to understand this rule just to be clear so if we had a one at Row 5 column 5 then that would mean that we would be placing the row number which is five into the column into this column becomes

The row so in row five column one we’ be placing a five and then if we index that then this would say that this row number which is five is the digit we’re going to be placing so we’re going to put a five somewhere where are

We putting it we are putting it in row one because that’s in column one and in column five because that’s the digit that we’re moving so that would be a five this is going to be mind breaking it is going to break our minds so this I

Think is not a self-referencing cell no that that’s another triple isn’t it it is but I think if we put a five here now that would be self referencing because row five column five becomes a five becomes a five so okay so I think we kind of almost have a glimmer of what

That rule might mean we’ll see how it plays out in the puzzle so I I I’m almost temped to get a piece of paper out and write down triples possibly yeah because it looks like I think I might use the term rather than switching I I would say cycling because we’ve got

Digit moving to so 1 two 3 becomes 2 3 1 becomes 312 right where each of those positions means something cycling through the permutations of those yeah so Rog column digit so yeah so need to write this okay write it down so row becomes digit digit becomes column and column

Becomes row okay you have it row becomes digit digit becomes column column becomes sorry to take so long explaining this but we’re start still trying to wrap our mind even around the rules forget the logic digit becomes becomes row column digit the column becomes the

Row so move it yeah so so becomes column digit row and then it becomes digit row column and you’re going you can have that down for reference I’m going to have to think it through every time looking back at this but it’s really cycling through those the the digit

Value the row position and the column position our brains will be broken by the end of this just to be clear I think doing it like this way with row well you’re pointing to that but they can’t see that yeah you’re going to show the grocery list too aren’t you so all right

So we’re saying row becomes column column becomes digit digit becomes row all right now there is still another rule but fortunately it’s one we’re happy and comfortable with that one is ratio dots yes um numbers digit digits and cells separated by a black dot are

In a 1:2 ratio and let me see it says not dots are given so I’m assuming that means there will be pairs that are in a 1 to2 ratio that are cons that are contiguous but are not separated by a black dot right con we could for example

Have oops a three and a six with no black dot and in fact we’re expecting to have at least one pair of those since it says not all dots are given there must be a dot in there a a pair of digits that are in a 2:1 ratio that aren’t

Separated by a black dot and as an aside um BM has made available a lovely uh set of sort of canonical rules that we encourage people to try and we encourage our students to use when they’re setting puzzles yes in fact we’ve made them reset multiple puzzles because they were

Using um non-standard phrasings that made our lives more difficult now super indexing I don’t think that exists as a canonical rule in in the bumster set so all right we’ve we have postponed we have procrastinated in Billy long 30 seconds Oh Lordy and we have even started looking at the puzzle all right

We apologize we hope we’ll reset we’re going to reset the clock to restart our time or restart the puzzle to reset our clock all right terror terror is descending upon me but here we go let’s give this a world let give this a whirl okay let’s start with the easy St we can

Start with the ratio dots so when we have a chain there are only a few ratio pairs that are possible we can have 1 2 2 4 48 or 36 and so the only way we can make a chain of these would be to either

Have 1 124 or 248 um in either order so we’re going to know that the the center part of this chain of three dot has to be a 24 and that’s going to happen up here as well because they all see each other and also in this chain the two4

Now we could put more digits out here put the 36 in inbox 5 too oh that’s a good point because we have to have um either two or four here and we have to have either two or four in one of these two cells so the only thing left um in

Terms of ratio dots for this cell is a 36 pair now my guess is that we now need to use this super index so you think oh this no other information no but it what’s I think what’s really important this if this is a two it’s

Already in column two if this is a four it’s in both row and column four so if this were a four I think it would be self- indexing from what from our exploration before and if it’s not what does it do what does it do yeah so if

This were a two if we had a two I’m going to make my life a little bit easier I’m going to say I know that there are a two and a four somewhere in these cells because that may turn out to be important okay so here we’re using

The center marking to say these are the only possible values that the cell can take and we’re using the corner marking to say within this box the only places I could put it to or put a four are in the cells that are marked with a corner Mark two or

Four so I think this is the key cell so if we had a two here then that would mean the row the row which is four becomes the number that we’re placing so we would be placing a four the digit that’s here becomes the col column so we would be placing a four

In column two and the column position which was a four becomes a row so so if this were a two we would have a four here does that sound right I’m going to put it in we this is just a still trying to figure out the rule if we had a two

Here then the row number becomes the value we’re placing so four we’re in a four from the super indexing and it would go into the r the the column becomes the row and the value becomes the column so we would be placing a four right there yeah

Okay and then that would mean that we are placing a the the row number four in column 4 row two so this would also be a four and now neither of these could be four and that would be broken yep oh my brain hurts already so I was

Pretty sure that was going to happen I would like to think that that wasn’t by forget that is just exploring the logic um so what I think we’ve shown is that if we place it two here then that super indexing would rule four out from both of those places and that’s broken so

This is one of those self referential cells it is a four which means that we have a 28 pair on either side of it because four has to connect to either two two or eight through um the power of black dotage now do we go to row one column 2

Next or Row 8 column 7 it don’t no you you pick so row eight column 7 is in column 7 which is not possible with being in a 1 to two ratio with anything and maybe that will play a role oh okay so I’m not seeing I’m not seeing

I’m just wondering if that’s what’s going to play a role so okay yeah so Row 8 column 7 is a four row seven wait you’re saying if this were a four four yeah if if this were a four okay that would place an H in row seven seven

Column four that doesn’t seem to be a problem no so if that was an eight yes we do have to have a seven somewhere in the triple though if this is a four because if this is a four since we’re in column 7even the column

Be where did it come from where did the be row four row four column 8 row four column 8 would be a seven so that do doesn’t seem to be a problem no let’s play with these instead okay we try the 36 we could well because they are in row six so maybe

That plays a role oh this is in row six and column six so I think if this if we have a here that’s going to be problem remember when we had the five in the example yeah it put the same digit I think it’s going to

Put threes in the is it let’s play with that so if this is six it’s self- referencing and that’s not going to be a problem so that’s a six six but if it were a three then we would have sixes in Row 3 column 6 and in row six column

3 and that would rule out the the 36 and that make a three yes so that has to be a six so that has to be a six because otherwise we’re we’re oh and we get a non cycling digit that mean sry non- self- referencing digit thank goodness okay we can actually do

Something with this now okay okay so this three so row six column 5 is a three row six column 5 is a three so so we place a six in so 563 becomes 635 so we have 653 653 meaning row six column 5 digit three so 653 becomes

536 row five column 3 row five column 3 is a six yes I believe you and now we have row five column 3 is a six so 5 3 six so Row three column six is a five yes okay so let’s go to I want to

Go through this this step one more time so because I’m starting to see how you’re thinking of it but it’s still difficult for me and I’m not sure it’s transparent to everybody out there so what I’m doing is I’m I’m writing down in my head a triple row column and digit

So five for the row three for the column six for the digit so 53 six we take 536 and we pick the five up and put it at the end so we get 365 365 that will give us the and that reads off three is row six is column five is the digit

That’s placed yeah that’s helpful to me that is very helpful and so now let’s just make sure it works so this then is Three 6 5 we take the three we move it to the end so we would have 653 and that’s row column digit so 653 six five we

Place at three so we’re back to the end of our cycle y that’s good to know this is very good okay so now uh I’m going to Corner Mark a couple of things the five has to be in one of these two cells because it looks in this

Way uh we now have sixes I I just need some sudu for to Clear My Throat on a grid with four five digits I know but you know I’m going to take what I can get right now okay so all I did was pencil Mark a couple of things but that

Might help a little bit okay so thinking through your triple thing that means that in row four one of column 78 or 9 is a six so that becomes either 78 or 9 64 so either row seven eight or 9 column six is a four see see I could do some of these

Things is that right I think so and it also means then now I’m G to take my 789 and move it to the end so I had I had four 7896 then my 789 6 4 meant row seven eight or nine column 6 was a four so now I have six 4

78 9 so row six column 4 has to be 78 or 9 count be an eight and it can’t be an eight so that means that the eight part of our triple comes out Y in both both the both parts of that cycle so those are not involved

So now the four cannot be here which I’m not sure I’m ready to deal with any more beyond that but that was I was happy with that oh oh oh oh look look look look this no longer can be a five so this is our five we get a and it’s self- referential

Oh how much you want to bet it’s going to be 1 2 3 4 6 7 8 N9 I’m not going to rely on that but I will not be at all surprised if it turns out that that’s consistent with the two full triples

Yeah now we have a one in one of those two yeah so using our row column digit triples that means that in either row four or five so we have a four five and then the column is six so 4 five 6 one so then we have 61 is a four or a

Five four five so row six column one is either a four or a five okay and then we have so we went from six 1 4 five 2 1 4 five 6 so Row one either column four or column five is a one right yep and these ones

No no is a six is a six right right right so let’s do that again because I messed it up so became one four five six so Row one either column four or five is a six but now we do have a six pointing up so it places

The six which means that in that triple instead of oh wait no no no no no because I was looking I did that wrong I did that wrong again let’s try it one more time it was one four five six so Row one those aren’t columns four and

Five these are columns four and five one of those two is a six can’t rule anything out that’s unfortunate but we’ll deal with it Okay now what oh I do have something okay these ones keep that from being a one this is true so this cell cannot be one and it cannot be four which means this cell can’t be a two and must be a four because if this were two two is only in

A black dot relationship with either one or four this can’t be a one because the one’s pointing down and it can’t be a four because we ruled those out through that chain of triples over there so this is not a two it is a four now I’m going

To sit back and let you you telling me where Force go so our triple is Row 8 column 7 is a four so it’s 8 74 becomes 748 row 7 column 4 is an eight row 7 column 4 is an eight now I see that that does things here but let’s keep going

With our triple first so 478 becomes 7 48 becomes 487 four wait this was I I got lost there 7 4 8 we take the seven to move it to the end so four no four 8 becomes a seven okay I like that okay now now it

Looks up this looks up and gives us a two here now I know we get an eight there too but I we’ve got to deal with the because that’s the one we’re referencing we should probably should have been doing that all along and the put the eight in as well and Mark that

In green and we we’ll take the green away when we’ve done the referencing for the cell okay makes sense I like that so this these are new cells we just determined those values we’re going to build their cycles and then we’ll get rid of the coloring I like that okay so

That’s row row five column four is a two so four five2 four 52 yes becomes 52 4 so five 2 No No 5 42 becomes 425 wait okay let’s start over on that row five column four is a two so our 542 we take the five off and move it to

The end 425 425 so 425 is row four column two and at the intersection of those we place the five so now our four 2 five 2 five 2 five4 2 five4 so two five at the intersection we put a four and now we’ve done that index yes now okay

And now we’re doing this one yes so that is 458 okay you say that very quickly I need column four column five is an is an eight so four five8 we take the four off so we have 5 8 4 so row five colum 8 is a four uh a

Four okay so five 8 four we take the five and move it to the end so we have 8 four five so 8 four and the intersection of that row and column that’s a five yeah okay and we’ve done we’ we’ve taken care of the super indexing for those

Okay I’m tired my brain is tired I’m enjoying the puzzle I really I’m really enjoying having to this way I have a deduction oh you I do to and I suspect it’s the same one go ahead where can eight go next to the four in row eight

Oh that was not the same as my deduction my deduction was what does this five do to that cell right there so let’s mark both of those my four we’ll mark it in green and your eight there has to be an eight on one side of these and it can’t

Be in box eight so that’s an eight the other side it’s a two and I’m going to Mark these in different colors because a that’s what I had selected on my palette and B also just because okay we can keep track okay let’s do the green do the green first

Okay this is row six column one is a four so our triple is 614 I take the six off I move it to the end so that I have a 1 4 six and that tells me Row one column 4 is a six which is consistent with the pencil Mar which

Is consistent with the pencil marking that’s good so now one 4 6 we take the one and move it so we have 4 6 1 so row four column 6 is a one which is also consistent with our pencil marking that was the pencil marking that

Gave us the pencil Mar so so that is now our green triple is taken care of this is no longer a one I’m going to go ahead and Center mark it as either a seven or a nine since that’s GRE yes screens are taken care

Of okay your turn blue or yellow blue so Row 8 column 6 is a two so 862 becomes 628 so that’s an eight that’s an eight okay and now we have 6 28 becomes 286 so that is a six and that is our blue set taken care of okay so we’ll get

Rid of the blue that’s our triple triplet cycle okay my turn again row eight column 8 is an eight so it’s self- referential and my job was easy and I like that all right so now we might need to do some more soku or we could attack the two fours or the 79s

But well we what two4 and 79 what do you mean oh I have a deduction oh good roughly where does four go in box one what does that do for four in box three okay well four is not here anymore and in fact I will go to your deduction in box

Three in just a moment but this cell cannot be eight or four so it is either one or two I’m going to get rid of oops I don’t want Corner marks I want Center marks so two it could still be there I shouldn’t have taken that out but this

Is either one or two so if this is a one it goes one two four and if this is a two it goes 2 4 8 so we actually get um a little bit tighter restrictions on those cells okay so now fours are in row one in box one

In row two in box two so in box three they have to be in row three but there’s already a four looking up for those so this is a four and now we can do some referencing I’m going to go with pink this time just because I’m rotating through the colors okay

3 9 4 we take three move it in we have not no 3 94 9 4 3 yep so 9 4 three three and now 9 43 becomes 439 yes 43 9 so that was our triple that we get from those this this four gave us that pink cycle

And we can get rid of it now cuz it’s taken care of okay um what else you got uh well we can let’s do our so we’ve got six in row one and six in row two already taken care of and also a six

Looking in so so one of these two is a six so if we pull our little pencil Marky trick we’ve got Row three column one or two is a six so that moves to row one or two column 6 is a three so Row one or two column six is a

Three and then that means that we get six three one or two so row six column three is either a one or a two yeah yeah I do that right so that was sort of this potential cycle right there okay we can pencil Mark twos in box two

Twos in box two cannot go there there because of this two and this two knocks them out of there so we have two and one of those two I’m going to Mark those in green so Row one or three column five is a two so we get

Five two one or three so row five column two is either one or three and then we go from 5 2 1 3 2 2 1 3 5 so row two either column one or three is a five yep and that was again just to sort of Mark

It that was this cycle right there those are the related super indexed cells wow okay so that means oh at a 38 pair in box three box two wait where why box two oh right eights so that is your that absolutely is both uh three and eight both have to

Be in those cells so it’s a 38 pair so so 1 two six 8 I did not follow row 102 column six is an eight ah yes okay gotcha so then that becomes 68 is a one two is a one two so row six column 8 is a one two that gives

Us a one two pair in the row which it should have and then 8 one two six so row eight columns one or two is a six is a six okay I had just noticed something too which is seven in box four has to go in

One of these two cells let’s do that same trick with the seven trip oh no there’s a seven looking in oh yeah okay that’ll make life easier so that that one’s not a seven all right fine steal my thunder very glad you saw that okay

So 517 517 becomes 175 so Row one column 7 is a five yes 175 Row one column 7 is a five 175 becomes 751 so row 7 column 5 is a one okay and so there’s another cycle of super indexed cells and now we have so this cell is either two or three

Yeah because the only digits left of the Box are one two and three but there’s already a one in the row so this is either two or three so can I also pencil Mark ones in box two and color them in so we’re remember to go back and look at

Them absolutely they may wind up being irrelevant by the time we get there but okay so let’s deal with the green cell first okay 4 1 2 3 becomes 1 2 3 4 so that which we already have okay so that but that’s that’s good though I mean that’s we had

I don’t think we had used that before so that means we now have 2 three four no one 2 three four right one one to the end 2 three four becomes 2 three 4 1 so row two or three column four is a one oh okay so this is actually not

Something new we need to explore that is actually our cycle of of of cells I like that though that’s that’s actually really really fun stuff okay so I’m going to get rid of the colors though so um so what have we not used yet well we haven’t used the fact that there’s a

Two and one of those two okay so one two two two oh one two two two says that row two column two is one or a two okay and then two two one two becomes two one two two which tells us that yeah no eight I did that wrong okay let’s try

This again we we’re looking at the fact that this cell is a one or a two so that means that row two column two one two so we have 2 two one or two we move the first two to the end we get two one

Two two so that means in row two columns one or two have to be a two which means that it has to be s yes so we have one of these two has to be a two and one of those has to be a two the only way to do

Both of those simultaneously is for that to be a two and we do in fact get the self- reference so yes beautiful beautiful beautiful so I’m going to get rid of both parts of yellow we’re going to go ahead and put in the four and the eight and we color them differently so

That we can remember to do both of them okay okay oh my brain is so tired one two four hang on one second before we do that we’re also going to use some Sudoku to say that this is a three and I am I my brain is hurting I need a break I’m

Going to give these each separate colors we have to remember to come back and make sure we’ve indexed them but okay go for it okay 1 two four two is a four 2 41 that’s our we explored that before but but it arrows it down and that’s

That’s going to help with box four I think yes so now 241 becomes 412 so this is our two and that’s green now I know that that’s going to do other things let ungen the GRE let’s ungreen the greens I agree absolutely those that cycle is

Done um am I allowed to sedu yes okay so this is a one and we need to remember to make sure we’ve done the indexing and this is a three and we need to make sure we remember to do the indexing okay which one you want to do next uh let’s

Do some more sit open oh oh dear okay two so we’ll give it out a color when I run it colors you’re not allowed to do any more um indexing until we do some clearing okay Place 18 volt s it’s 18 box seven oh how ridiculous have you more soku okay Eight’s ruled

Out because of those this eight looks down that eight looks down the only place left for eight is there I I I I’m running out of colors okay go ahead we have two colors left well I I’m afraid of the additional expanded color palette I was the unpleasant grades no I understand but

There are actually lots of more colors but yes let’s do blue 1 1 38 becomes 38 1 so 3 8 that’s a one that’s a blue and and take the pencil mark one out of the books to you’ve already ruled out okay then 3 81 becomes 813 so 8 1 that’s a

Three now right did I do that right I did do that right okay so the blue is done and we now get a six Place gu we be our pencil marks which we do I am trusting my pencil marks for all I am worth and so

That we okay we just use that blue but now that six looks up and places another six I’m mixing colors and okay I’m going to have to go into the expanded color no no no use gray okay use one of the UN use one of the okay there we go black

Which is a very very dark gray okay let’s do the purple three the purple three6 three what 163 becomes 631 6 3 already got oh these are the same so I’m going to change that from Orange Pink So 631 comes 316 yes which is that oh we’re starting to get our Cycles really

Showing up so we already had all three of those digits placed so we didn’t actually have to do anything new and we get rid of several colors so now we’re allowed to index more I bet somehow we wind up with things nice nice things happening okay let’s do the yellow eight 268 268

682 68 2 becomes 826 which is this so those were actually also a all right which is distressing because we’re getting it getting rid of all of our yeah but that’s okay I’m seeing some other things that we could do from s so 5 2 3 becomes 2 3 5 2

3 that’s a five so 2 three5 move the two to the end 352 3 five there’s our two so that’s a green cycle now I’m going to take out my Corner marks while I still got uh those placed and now we’ve done our Green Cycle let’s deal with this so this is

918 move the 9 to the end 189 Row one column 8 is a nine nine so8 9 move the one to the end 8 91 so Row 8 column 9 is a one and and that’s that cycle completed good okay and now let’s put one in both six

Well we could do that we could also use this seven to look over and give us a nine H well okay fine it’ll be blue nine which makes this a seven and we’ll make that green now you wanted to put a one in one looks up here one looks across

One looks across so this is a one and let’s make it yellow to remember to index we can put one in box one okay one looks across one looks across that’s a one and it’s apparently going to be gray n seven yeah one in box seven this one

Looks down so that’s a one let’s make it uh Pink make sure we can do some indexing yet or are we going to keep filling in just from sedo I was enjoying the indexing let’s do some indexing but okay this is self- referential Row one column one is a one there’s no indexing

To be done how are we doing on ones we’ve got all the ones we don’t need oh no but they’re not they’re not giving us other ones they’re giving us other locations yeah 571 we move to five to the end 715 row 7even column 1 is five that was coming

From the yellow one so 715 move the seven to the end 157 Row one column 5 it’s a seven and that’s that cycle I think we might be able to do a lot of the Rest by soku yeah and we don’t need different Coles for all of

The digits we need to handle no but I like seeing the Cycles once we place them so well let’s use one color for doing a cycle and one color for the things we need to do okay so which one do you want to do next let’s do the

Purple the purple okay then I’m going to make this also blue so that we know that that those are digits we still need to think about and we’ll do the purple cycle okay go ahead okay 921 becomes 219 row two column 1 is a 9 and 219 becomes 1 192 so that’s a

Two okay so that purple cycle is now done yeah all right so now we can do some soku and just color things blue when we put them in okay that works um this Row one two three four five five seven thank you it’s an eight brain’s gone um

Okay Place eight in box three so eight looks up eight looks over that’s an eight and I am going to make them blue as we put them in in case we need them down the road um this row is missing three and seven I’m not going to Mark those blue

Though yet uh box two needs a nine okay so we get uh well this row needs seven and nine and there is a seven already in column five so that’s a nine that’s a seven and we’ll mark both of those in blue in case we need to use

Them for inversing I I think once we get the the grid filled we should go I can check that all of the blue cells are properly referenced oh you’re you’re a masochist aren’t you okay okay so three and seven in box one is placeable ah yes three s seven looks

Up so this is a three that’s a seven let’s just Bluey all of the remaining sounds to remind us to check them once we’re done okay I liked our system of putting them in blue once they they became placed but 1 2 3 3 4 5 6 7 8 this is a

Nine and since I’m controlling the mouse I’m going to do the blue as we place yeah yeah yeah you want to control the mouse next time we solve no didn’t think so five one two three four five we’re missing a six you’re getting to do all the extra

Work because you don’t cover the m i and that’s okay it is helping me keep it straight in my head and I kind of need that right now cuz even though I think we’ve figured out a good system for dealing with this it is still breaking

My brain um these are five and nine and they are placeable cuz this five looks down so this is a nine and that is a five we need three and six three and placeable yes column 8 needs a three and a five three and five and those are

Placeable three because of this five looking across so that’s a five that’s three okay um I think we’re going to need let’s do some indexing let’s see let’s take a pick and see if we can figure out from what we’ve figured out about geometry so far which of these is going

To be the most useful and I think it’s that one no particularly Good Reason by the way just okay okay so I want to change that one to Green because I’m focusing on this one so this is 5 69 which we move the five to the end it’s 6

95 6 N is a five Hush Hush 695 becomes 95 okay I was wrong it comes to here that’s okay though yeah we can now uncolor those we can uncolor those those do actually work as a self- reference it’s going to be a nine that helps how about how about this one okay

Green yes so 6 7 9 becomes 7 96 7 9 is a six and then 7 96 becomes 967 so 9 6 is a seven that did help so uncolor those and let’s do the soku okay so this is now four which makes this a two and that a four and

Those both still need to stay blue so we need to make sure they’re reference correctly six looks up six looks up so I am we’re going to get all of digits placed in all of those so we’re going to make sure we do that so this six looks

Up makes that a three looks over makes that a six this three also looks up and makes this one a seven and that one a three column nine okay I’m going to go ahead and fill in the rest of them blue now I give up um column nine is missing a

Nine a nine and row seven is missing a seven we can row nine is missing a two oh it says we’re right yeah so we can uncolor the seven and the nine in box N9 because self referential and your conjecture is proved correct yes the inding yes so they should fall into

Cyles so um and this again we we already got the popup this was correct our time’s no longer taking forward but for the sake of our own sanity sanity and mathematician and enjoy the and enjoyment because this is really fun these Cycles okay let’s just go through

Row 3 column 2 so 327 becomes 273 let me get so 273 that check checks and that becomes 732 so that one checks so that cycle is good okay let’s how about this one next 349 becomes 493 and that becomes 934 good so those match up this one yes 2 97 becomes

972 becomes 729 so that’s a cycle and they match up and now um 3 378 7 783 837 837 those match up nice little cycle there all happy and good um how about 476 which becomes 764 and then 647 so another happy little cycle and I’m guessing pretty sure that these are

Going to match up as well but let’s talk it through 598 85 5 oh sorry 859 and there it is the last one that was a that was a really really cool puzzle that took me at the begin Terri we spent 11 and2 minutes avoiding doing the puzzle that was

Absolutely brilliant very very nice puzzle willpower and that Breakin and sort of that that that first piece of realizing what happened if this cell and this cell were anything other than self-referential with the this having a four If This Were A two here having the fours pointing in

And breaking the the puzzle was really super nice and same here with the three four I can imagine discovering that as a concept then to build a puzzle around it is I could see making a problem out of it yes but the make a puzzle around it is just absolutely stunningly beautiful

Thank you for bearing with us um we did Dodge you we we we we procrastinated through the rules for 11 and a half minutes so this video is probably longer than the solve actually we do hope you enjoyed it our final time was uh just

Over well 39 and a half minutes y so probably an hour long video probably sorry brim sorry brim’s viewers uh but really great fun and as brim always said good luck with your solving luck with your solving indeed