Timotab masterfully elevates Sudoku into a sophisticated study of formal logic and spatial constraints. This video is a refined demonstration of how systematic deduction can resolve complex, interconnected arithmetic systems.
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Sudokétudes : Set 11 - Anxious CartographyHinzugefügt:
Hello, good day and welcome. I'm Timab and today I'm going to solve Actress Ctography by BMster.
This is puzzle number seven of Sudokutes set 11.
Uh there will be a link to try it in the description.
And let's have a look at the rules.
Normal Sudoku rules apply. So we are going to place the digits 1 to nine in each row, column and box without repetition.
Digits on an arrow must sum to the digit placed in the arrow circle. Digits may repeat on an arrow if allowed by other rules.
So um uh these three digits will sum to this.
those two digits which could have a repeated digit um will sum to that and those two digits will also sum to that and the same for the other arrows.
Okay, I am going to restart the puzzle to reset the timer and let's begin.
Okay, these um these three digits have to be different digits because they're in the same column. So they are a minimum of 1, two, and three.
And that applies to that, that, and that. And 1 + 2 + 3 is six. So these circles are each a minimum of six.
Uh, and this one is not six.
So my first thought is, is there a reason they have to be all different?
And I don't see anything obvious right now.
Um, but I do see that this one is looking at those three cells. So if I don't have a one here, the minimum I can have is 2 + 3 + 4, which is 9. And that of course is the maximum I can have in a circle. So I can do that.
Okay, that means that this digit is a minimum of five.
um because I have 1 2 3 and four in the row now. So if that's a five, then I have a minimum of 1 plus 2 here. That makes a minimum of eight.
Um if this were seven or more then uh we would hit 10. So that's got to be five or six. The sum of these has to be either three or four.
So that's 1 2 or 1 3. And there is a definite one in those two.
Well that means that that's not a one and those aren't a one. So these are two, three and four as well which again makes this nine.
Uh so they are not all four different.
Guess that answers that question. And in this box nine goes in one of those two.
It can't go on an arrow because otherwise the circle would have to be more than nine. But if nine is in one of those two then this must be an eight.
And that means that we need one, two, and five for this.
Uh, there we go. And that's a five.
So, this is now at least a six because I've got 1 2 3 4 and five in the row.
Um, it can't be eight on an eight arrow and it can't be seven cuz that can't be a one. So that is a six and that's a two.
So that is not two.
And these three digits are 7, 8, and 9.
That one is clearly not nine on an arrow. That is not a seven below the seven. That is not an eight.
So if this is seven, then this must be two to make nine. If that's eight, that's a one.
Okay. Uh, where does eight go in this box?
It can't go on the arrow cuz it would need a one to go with it. Uh, so it must go here.
Okay, this uh can't be 1 2 3 4 or six or eight.
So that's uh five or seven.
Uh making this four or two.
That gives me a 2 three four triple in the box. And we know that the three is in one of those two, which means that's not uh and that one two means it's not a two. So that's a four. So that's three.
That's two.
So that's four. [snorts] Five.
And this is a 79 pair.
Okay, that was nice.
Um this can't be 124 because the four here and here preclude four going on there.
So that is not seven.
Um, the highest digit that I can have on a three cell arrow, um, where they all see each other is a six because 6 + 1 + 2 is nine.
But I can't put, um, 2, 3, 4, 5, or six on there. So, that has to be a one.
Uh that four means that that is not a four. This now can't be 2 three because if that were 2, three, that would break that cell. So that can't be six.
So if it is 8, it's got to be 125.
If it's nine, uh it could be 126.
Or it could be 135.
Okay.
So 126 125 or 135.
Seven in this box. Can't go in either of those.
It must go in one of those. That makes this nine and this seven, which makes this eight and this nine.
And so this is a one.
Eight is not in any of those three. So this is eight.
these two digits.
Uh, one of them is a nine and that has to be this one. And so this one is a seven.
That makes this a one or a two depending on if that's eight or nine. Well, that that's a nine. Uh, then that can't be a nine. So that's an eight and that's a one. Yes.
So now these three sum to eight and that has to be 125.
That gives me a two five looking up making this a three.
That's now a two four pair. This must be a 35 pair.
And these three digits are 7 2 and six.
Uh, in fact, that's not a two. That's not a two. That's a two.
Okay, these two digits sum to eight.
They could be 17, they can't be 26, and they can't be 35. So, they are 17.
And we know the order.
That means that these three digits are uh 3 56.
Okay, if this is six, then this has to be two for the eight. That can't actually be six. And now if that's three or five, this has to be three or five to make the eight sum work. In fact, that five tells us that's a three, that's a five. That makes this six. This is three.
Okay. So these three digits to complete this box are 489.
Um that can't be a nine on the arrow.
That can't be a nine by Sudoku. So that's a nine.
Um so that is four or eight and that makes this one or five in order to sum to nine.
This seven is looking up. This is a six.
This is a seven. These three digits are uh 6 8 9.
Um so again that's not 9 by sudoku.
That's not nine by arrow. So that's a nine.
This uh that's a nine. This is a 68 pair. If that's six, then that's three. If that's eight, that's one. Uh that can't be a three. So that is eight and one. That six.
Okay.
So now 8 inbox 7 goes here.
Seven in box seven is in one of those two. But that means it's here in box nine.
Uh nine over here in box nine.
Um, and here in box one.
Seven is in one of these two in box three.
Eight is also in one of those two in box three. So that's actually the eight.
That's the seven. That makes this four.
And so this is five for the nine arrow.
This is an eight.
Um, to complete this row, I need 1, two, three, and four. And I see that I've got one, two, and three here. So that's a four.
So these are from one, two, and three.
And this one is not a one.
To complete this column, I need 567.
And this is not five. This is not seven.
Okay. Um, to complete row seven, I need two, five, and three.
That's not a two, huh?
Where is pressure? Okay, that's not a two.
That doesn't help.
Four in this column goes here.
So I need three, five, and six in this column. That can't be three or five. So that's a six meaning that is three or five but this is seven that makes this seven and that is a 56 pair that makes this a three that is five and then this is one or three and that means that this column is in need of a two.
Okay, that three means that that is not three. That's now two or five.
These two digits are five, six and three.
Um, that's not a six. That five is looking down. That's three. That's five. So that's three.
And that is five or six.
This is two or four by the column.
This two has been looking across for I don't know how long. That's a one.
That's a two. So that's a one. That's a three. That's a three there. To complete this row, I need one and two yet resolved.
Uh here I need four and six again. Not yet resolved. H uh yes, that is resolved. That one two because that one is looking up. That's a two. That's a one, which means that's five. That's two.
That's five. We get a six here, a five here. That's a six.
This is a two four pair to complete the box. And the two there makes that four.
That's two.
That's a six. That's a four. That's a two.
And that is a uh that's a two and that's a four. There we go. Ah [laughter] I'm like no. I've got to the end and I'm wrong but I mistyped something. So awkward. Um lovely puzzle from BMster. Um really nice um opening with the 234 here to make that nine causing that to be at least a five making that at least an eight which then put a one here which prevented one on here making that a nine and then forcing that nine to make that an eight. That opening was really really nice. So thoroughly enjoyed that. Um, I hope you did too. If you enjoyed this solve, then please hit the like button.
You can subscribe to see some more. And we would love to hear your comments. I'm looking forward to next time. Be seeing you.
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