Star Wars Sandwiches
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- Опубліковано 27 чер 2024
- Here's where you can sample Star-Crossed Sandwiches by Darth Paradox: app.crackingthecryptic.com/1r...
Place the digits 0-9 once into each row, column, and region. Identical digits may not be separated by a knight's move. The digits 0 and 9 may not be orthogonally or diagonally adjacent to each other or themselves.
A clue outside the grid is either an X-Sums clue or a Sandwich clue, but not both, i.e. exactly one of the following is true: the clue gives the sum of the digits between the 0 and 9 in the indicated row or column; or the clue gives the sum of the first X digits in that row or column, starting from the digit next to the clue, which is equal to X. The ? may be any valid clue.
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▶ Contents ◀
0:00 Theme Music & News around the channel
1:35 Rules of today’s puzzle
3:45 Start Of Solve - Let's Get Cracking! - Розваги
Thank you so much for solving Star-Crossed Sandwiches, and for your kind words throughout! I am of course happy to see you prevail in this battle, though I'm also happy to see that it wasn't easy... 😈 A couple particular notes on your solve:
You spotted early that putting two stars on the right side of row 6 would cause trouble near the lower-left corner. There's a much quicker way to reach a contradiction there: both stars would see R7C1, and the star in R9C2 blocks off most of the rest of the lower-left region, so that only leaves two adjacent cells to fit both cells into that region. Your logic was still valid here, though! Also, having made that determination, you now know that one of the stars must be to the left of the yellow cell in row 6, which might have made things easier in the next part...
At 41:48, you asked if I was doing anything more clever to resolve the placement of 0s. The way my own solve path worked at this point was, in fact, tracking all the places where 0 can be, like you'd suggested almost ten minutes earlier! If you color in all the possible locations for 0s, you can group them into sections that must each contain at most one 0. I think of it by analogy to a technique in a regular star battle puzzle, where any 2x2 square of cells can have at most one star. In this puzzle, if you're considering one kind of star at a time (either 0s or 9s), any region that is a 2x3 rectangle of cells plus an additional cell attached to the middle of one of the long sides can contain at most one 0 (and/or at most one 9), because all of those cells see each other by either knights' moves or regular star adjacency... It turns out that using that shape as a guide plus the row/column/region boundaries, you can identify exactly ten disjoint sections of cells that each contain at most one 0. Therefore they must each contain exactly one 0, and you can start eliminating any cell that sees every cell in one of those sections but does not belong to it. That makes all of those sections small enough that it's reasonable to then do the same thing with 9s, because you can eliminate any cell that is orthogonally or diagonally adjacent to every cell of one of the 0-sections, and by the time you've finished eliminating options for 9 the star battle can be resolved pretty quickly.
In the speculative logic you ended up following instead, you eliminated R4C5 as an option a little earlier than you should have - but if you'd left it in place and continued chasing down the options in the bottom half you'd have arrived at a similar contradiction pretty soon anyway. There were a couple other minor errors that other commenters have already mentioned, but in each case you were only a few steps away from correctly placing the digit anyway, so you didn't skip over any significant logic in the process, and beyond that you largely followed the solve path I had in mind! (Was it mean of me to have half of the outside clues be near-useless until the very end? Maybe... but nice job catching on to what I was up to with the ? clue way in advance!)
Finally, one other fun fact I wanted to mention - this ended up being a 10x10 puzzle because I discovered it's literally impossible to make this rule set work in a 9x9 grid! There just isn't enough space to enforce both the star battle rules and the anti-knight constraint on each of the two star types.
Great job. Thank you for explaining your design and your solving path. This makes your puzzle even more interesting.
I always appreciate CtC knowledge bombs
I loved how you say at 1:27:40 that the given clues are remarkably ambiguous, only to need the most ambiguous of them to disambiguate it all
36:51 “I just need to be smarter.”
I feel you on that one, Mark 😂
Regarding Mark's error @1:17:40 (he missed that a 2 could still go in r5c2 in the top left shape), it is easily resolved.
1) Where does r7c9 go in the shape two cells above it? By knight's move/sudoku, it must go into r6c6 and is yellow. Therefore, green is not yellow.
2) Where does green go in that same shape? By knight's move/sudoku, it has to go in r5c8. (This also finishes the last two 8s.)
3) Where does green go in the rotated F shape in the top right? It can only go in r1c6.
4) Where does green go in the top left shape? It goes in r2c1, which cannot be 2. Therefore green is not 2.
This will eliminate 2 from enough cells to finish off the 2s, leaving you with only the 5-6-7 triplets.
4:30 - Mark has forgotten the rules - we have an extra digit! 22 = *6* +0+1+2+4+9, for example. Fortunately he didn't use that deduction, and I'm sure if he had actually pursued that logic further then he would have realised the mistake.
wow. This puzzle took me AGES. It is well hard. Your solve was amazing.
Giving up around 24:00, Mark seems to have forgotten the star-battle rules. If R6C8 and R6C10 contain 0 and 9, then one of them (call it blue) must go in R9C2, and the other one (call it yellow) in R7C2 or R7C3.The only place for blue in the lower left region is R10C5 (knight's move precludes R10C4 and R7C1). Then, because of star battle rules, the only cell left in the lower left region for a second star (the yellow one) is R7C1, but that would Sudoku-clash with the one already in R7C2 or R7C3.
So the 4 clue can't be a 0/4/9 or 9/4/0 sandwich at the end of row 6. The yellow equality prevents such a sandwich centered on R6C6 so a single-cell 4-sandwich is not possible.
Mark does see this later, but with a slightly more complicated chain of reasoning involving more regions.
The analysis using just the lower left two regions also later prevents a star (a 9) in R6C7, and there never could be a 9 in the yellow cells.
This is gonna be good
(Almost a "Starbattle puzzle with the 0s&9s," Mark said @2:27 or so - and an Anti-knight's move going on)
Luv the Anti-knight move ones
Go to it, Mark.
Cool ;) 😎😅
@1:03:44 The 8 can not be ruled out of r4c5. It would only be seen by two of the three possible positions for 8 in row 2. Consequently, neither 8 nor 4 can be placed in that box, yet.
I completely agree that he missed the logic. Luckily, 8 can be ruled out of the square he mistakenly removed it from by noting that placing an 8 in r4c5 leaves no 8 position in the top left region, so it fortunately has a very quick fix
Yeah, looking for those 0s really helped out 41:58.
It left certain cells along the way that there was only one cell left for the 9.
I got 'em both all filled-in in the regions now.
[OH, a 9 in a certain row, too (I think it was row8 early on, not sure) ]
Good job starting to look where the "0s" could go, Mark.
Got it done after watching Mark until minute 30. Took me ages. But considering I am a 3/5 star girl, I'm quite proud!
57:31 for me. Well, that was quite a guessing game...
Around 41:00 : why couldn't 0 be next to the greened out 1 in that region? That allows for a valid layout of 0's in the grid, contrary to Mark's ilkusion of a contradiction from that point.
Putting the 0 next to the 1 creates an impossible grid for me
similar question here, I don't know what's wrong with R4C5=0=R2C3=R5C1=R3C9
edit: It makes R10C4=0=R8C2 and I can't put 0 in the region contains R9C5
@@user-kt9vr1wj6y that's exactly my question
@@user-kt9vr1wj6yThank you so much
This is tricky.
(Those regions)
I've made a couple mistakes I've had to backup to
These irregular regions are tricky sometimes lol.
Couldn't figure out the opening ...but once I saw the midcells and the L...chose to turn this into starbattlle puzzle first, which u can place the starbattlle pattern....rather then the Xsum/sandwich....
100:47
Wow! This was really tough but extremely enjoyable.
The statement at 04:20 is wrogn, because you can include a 0 in the sum
A star sudoku awesome puzzle. With some help I could try this one! Thank you! 😊
Great puzzle - not easy though, and quite cunning
Those pencilled yellow 9s drive me wild
I like that - the battle between solver and setter should be fierce, but the setter ultimately wants the solver to win. Thanks for this remarkable solve, Mark. I paused a few times to see if I could determine what was going to happen with that question-mark clue, but of course I could not see anything helpful. You called this attritional (a nice vocab word, of course) and I agree - would you have wanted another clue in the end, or once you were finished were you satisfied? Though this was a very long solve, and normally I would say no way, I just might give this one a try at some point with the video at hand, of course. Loved it.
Quite an interesting beast. 😏👍👍👍
you could have proved the 6 X-sum is a 2,4 much earlier on.... if there was both 0 and 9 in that L-shaped region both of the 0/9 would be forced into the same square in the other region (since the only other possibility would have clashed by knights move for the 0/9 at the bottom and by row sudoku for the 0/9 in the top of the L shape)
Second more than an hour solve this week
Let's Get Cracking: 03:46
What about this video's Top Tier Simarkisms?!
Knowledge Bomb: 1x (05:25)
Three In the Corner: 1x (52:56)
Phistomefel: 1x (00:54)
Numpty: 1x (1:03:48)
And how about this video's Simarkisms?!
Hang On: 20x (11:46, 12:54, 13:49, 16:41, 16:41, 20:04, 21:24, 23:33, 24:39, 30:37, 34:33, 34:33, 34:37, 34:37, 42:38, 49:18, 56:46, 1:15:21, 1:24:34, 1:26:15)
Ah: 16x (09:24, 16:02, 16:41, 20:00, 25:03, 27:13, 30:37, 31:22, 51:20, 57:25, 1:00:47, 1:04:07, 1:08:11, 1:14:29, 1:15:42, 1:24:50)
In Fact: 12x (41:23, 42:53, 45:53, 46:05, 52:54, 1:01:17, 1:03:32, 1:14:53, 1:16:14, 1:19:59, 1:22:43, 1:26:50)
Obviously: 9x (03:41, 25:14, 29:10, 36:45, 42:50, 51:42, 55:09, 1:09:51, 1:25:56)
Weird: 8x (03:41, 17:59, 19:00, 34:20, 38:25, 41:33, 46:25, 1:18:08)
Bother: 6x (32:33, 32:33, 36:14, 36:17, 56:51, 1:18:15)
Pencil Mark/mark: 6x (30:30, 52:27, 52:42, 1:14:18, 1:22:46, 1:27:05)
Sorry: 5x (06:08, 15:12, 35:36, 42:06, 1:02:52)
Progress: 4x (41:55, 42:25, 51:47, 59:36)
Fascinating: 3x (00:16, 05:29, 41:02)
Wow: 3x (17:35, 33:21, 1:30:23)
Clever: 2x (41:46, 54:50)
Incredible: 2x (54:17, 1:07:36)
First Digit: 2x (06:04, 26:40)
Useless: 1x (03:38)
Goodness: 1x (21:05)
The Answer is: 1x (31:43)
Missing Something: 1x (59:23)
Naughty: 1x (52:13)
Touch Itself: 1x (12:26)
Lovely: 1x (58:23)
Extraordinary: 1x (53:02)
By Sudoku: 1x (51:58)
Shouting: 1x (1:10:58)
Bizarre: 1x (34:20)
Surely: 1x (47:37)
I've Got It!: 1x (1:19:18)
Disappointing: 1x (39:52)
Proof: 1x (26:10)
Unbelievable: 1x (25:22)
*****ing: 1x (52:05)
Symmetry: 1x (10:35)
Most popular number(>9), digit and colour this video:
Twenty Two (13 mentions)
Four (118 mentions)
Yellow (67 mentions)
Antithesis Battles:
Even (5) - Odd (1)
Lower (2) - Higher (1)
Outside (5) - Inside (0)
Row (63) - Column (32)
FAQ:
Q1: You missed something!
A1: That could very well be the case! Human speech can be hard to understand for computers like me! Point out the ones that I missed and maybe I'll learn!
Q2: Can you do this for another channel?
A2: I've been thinking about that and wrote some code to make that possible. Let me know which channel you think would be a good fit!
Interesting puzzle .... it took me almost two hours, but nevertheless I enjoyed it.
At 4:45 can't it be the 6-digit X-sum 602347 ? Fortunately his observation isn't used for the solve and around 5:15 Mark observes that you can generally throw a zero into the sum digits to increase the digit count by one (though one must then decrement one of the digits to make up for X increasing by one)
139:07 for me
1:17:40 why can 2 not be in R5C2??? This is one of the most frustrating videos I've seen in this channel as of yet. Every time I get stuck and think I might go to the video and get a clue as to the next step - he is just making outlandish assumptions that I can't accept and either will 20min later figure out they were wrong or just get lucky and go with them all the way but this is no use for anything and just frustrating to watch. And what is "Oh Darth, this is attritious, you should have put more clues..."? Obviously there are clues we are not seeing here - that should be the point in solving...
I agree
I'll take Star Wars Sandwiches over the Star Wars Witches show Disney just pushed out, any day of the week. Not that I have any chance solving this, but it's entertaining (and educational, I suppose) to watch.
Didn’t clone wars have witches? New witches?
@@benjamincurtis-dyck4888 Wasn't there also one in ROTJ? The Witch of Endor? 😁