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Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Wed Oct 29, 2014 8:09 pm

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Puzzle rating table, with links to archive entries; each of these has a link to the puzzle thread.

Abbreviations used in Rating Table:

+-------------------------------+-----------+---------+----------+----------+
| Puzzle                        |  Made By  |  Rating | SS Score | SS Score |
|                               |           |  Andrew |  v3.3.1  |  v3.5.7  |
+-------------------------------+-----------+---------+----------+----------+
| Assassin 221                  |   manu    |  H1.50  |  *1.85   |   1.55   |
| Paper Solvable 8              |  HATMAN   |   0.50  |   0.75   |   0.85   |
| Human Solvable 9              |  HATMAN   |   1.50  |   3.55   |   2.60   |
| Assassin 222                  |    Ed     |  H1.50  |  *1.65   |   1.55   |
| Assassin 223                  |   manu    |  E1.50  |  *1.35   |   1.25   |
| Assassin 223 V2               |   manu    |  H1.25  |  *1.25   |   1.35   |
| Assassin 224                  |    Ed     |  H1.50  |  *1.75   |   1.55   |
| Double Diagonal 1             |  HATMAN   |   1.50  |          |          |
| Paper Solvable 9 Elevenses    |  HATMAN   |   0.50  |          |          |
+-------------------------------+-----------+---------+----------+----------+

Some of the selected quotes in the puzzle entries have been edited to remove "spoilers"; the full rating comments are included with the walkthroughs. In some cases the puzzle makers gave hints; these are included in tiny text in the selected quotes.

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Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Thu Oct 30, 2014 1:45 am

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Assassin 221 by manu (September 2011) here

Puzzle Diagram:

Code: Select, Copy & Paste into solver:

Solution:

+-------+-------+-------+
| 3 7 9 | 8 4 2 | 1 6 5 |
| 8 2 1 | 5 9 6 | 4 3 7 |
| 5 4 6 | 1 3 7 | 9 2 8 |
+-------+-------+-------+
| 4 3 8 | 6 2 1 | 7 5 9 |
| 1 5 7 | 3 8 9 | 2 4 6 |
| 6 9 2 | 4 7 5 | 8 1 3 |
+-------+-------+-------+
| 7 8 3 | 2 5 4 | 6 9 1 |
| 9 1 4 | 7 6 3 | 5 8 2 |
| 2 6 5 | 9 1 8 | 3 7 4 |
+-------+-------+-------+

Quote:

manu: As promised to Ed and Andrew, a more difficult one for the next. But no doubt you'll find a good path for cracking it. Enjoy !

Ed: Thanks manu for a really nice challenging puzzle. Took me a long time to find the key (step 14) but kept chipping away in the meantime. The chipping bits are not shown in this optimised walk-through. This level of killer really suits a two week cycle for me - can take my time and get a lot of satisfaction.

manu: Nice walkthtough Ed! I did not think about yours steps 14 and 15, which offer a quick resolution. My path was different. I wait for Andrew's WT before sending mine.

Andrew: Thanks manu for an interesting and challenging Assassin!

manu wrote:

I wait for Andrew's WT before sending mine.

Thanks manu. I feel honoured that you did that.

I've been busy on other (non-sudoku) things for the past couple of weeks so only started on A221 after seeing manu's message.
I worked in the same areas of the puzzle that Ed used but saw several things in different ways so, although there's not a narrow solving path, the solution seems limited to particular areas of the grid.
I'm impressed and amazed that Ed spotted his step 14; then the next step was a neat way to crack the puzzle. Ed's step 11 was similar to my step 32, but based on a different number in the same cage.

Walkthrough by Ed:

Walkthrough by Andrew:

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Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Thu Oct 30, 2014 2:06 am

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Paper Solvable 8 by HATMAN (September 2011) here

Puzzle Diagram:

Code: Select, Copy & Paste into solver:

Solution:

+-------+-------+-------+
| 6 1 5 | 4 2 8 | 9 7 3 |
| 4 7 9 | 6 5 3 | 2 8 1 |
| 3 8 2 | 1 9 7 | 4 6 5 |
+-------+-------+-------+
| 2 6 4 | 8 7 1 | 3 5 9 |
| 8 9 3 | 5 6 4 | 7 1 2 |
| 1 5 7 | 9 3 2 | 6 4 8 |
+-------+-------+-------+
| 9 4 6 | 2 1 5 | 8 3 7 |
| 5 3 8 | 7 4 9 | 1 2 6 |
| 7 2 1 | 3 8 6 | 5 9 4 |
+-------+-------+-------+

Quote:

HATMAN: This on popped out on my work for the next Human Solvable. It's quite neat (note the number of large cages) so I decided to post it.
SS gives it 0.73 - but that feels high to me.
It is to be done without pencil marks or 45 marking. You might even wish to do it at speed.
As they say enjoy.

Frank: Well I did it without pencil marks or 45 marking. I'm not too sure about the speed

But I did enjoy it. Thanx HATMAN

simon_blow_snow: For what it's worth here is a "complete walkthrough", listing all 81 cell placements

HATMAN: My start was similar. Your point on the newspaper vanilla is correct - one reason I like zero killers is that they keep me in some practice on the vanilla stuff.
I'm not getting very far with Human Solveable 9, my attempts keep switching from easy to impossible. But I've got a good cage framework so I will persevere.

Andrew (in November):

HATMAN wrote:

It is to be done without pencil marks or 45 marking. You might even wish to do it at speed.
As they say enjoy.

Thanks for a fun puzzle!
I tried to solve it taking the instructions literally, apart from innies of cages. When I came back to it this week, I still couldn't see how to do that so I used outies on R123 (or one can use outies on R789). Is it possible to solve this puzzle without using any 45s apart from innies of individual cages?
Even after placing the innies for the cages, I found it fairly hard going to complete the rest of the puzzle. Maybe others are better at spotting hidden singles and pairs than I am?

HATMAN: I've made no restriction on multiple innies and outies - just that you shoul keep them in your head.

Andrew (in November): Here is how I'd solved this puzzle. I think it's in the spirit of Maurice's recent message. The comment after step 4 was written a few days ago, when I couldn't see any other way of making progress.
My solving path is fairly similar to Simon's one.

Walkthrough by simon_blow_snow:

Walkthrough by Andrew:

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Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Thu Oct 30, 2014 2:38 am

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Human Solvable 9 by HATMAN (October 2011) here

Puzzle Diagram:

Code: Select, Copy & Paste into solver:

Solution:

+-------+-------+-------+
| 7 2 1 | 5 6 3 | 4 9 8 |
| 8 5 4 | 9 2 7 | 6 3 1 |
| 6 3 9 | 1 8 4 | 7 5 2 |
+-------+-------+-------+
| 2 7 5 | 4 1 9 | 3 8 6 |
| 1 4 8 | 3 7 6 | 9 2 5 |
| 3 9 6 | 8 5 2 | 1 7 4 |
+-------+-------+-------+
| 4 6 7 | 2 9 5 | 8 1 3 |
| 5 1 3 | 7 4 8 | 2 6 9 |
| 9 8 2 | 6 3 1 | 5 4 7 |
+-------+-------+-------+

Quote:

HATMAN: I've had the general layout for a while but it has taken me three weeks+ to actually get a workable puzzle.
SS gives it 3.57 and JS goes around the houses.
I've solved it of course, and I'm interested in seeing your solutions.

Andrew: Thanks HATMAN for your latest puzzle.
What have I done wrong?! It didn't feel like a Human Solvable to me, more like a very early Assassin. As the most methodical regular solver on this forum I started with methodical steps, expecting to have to use innovative ones later, but never reached that stage.
Maybe Simon or HATMAN will show us how to use "Human Solvable" steps to give a quicker solution, not that my solving path was very long?
Thanks Maurice (see post below) for pointing out the typo in one of my original steps which, inadvertently, led to a quick solution. I've deleted my rating comment and the steps after my error, and also added a sub-step which I missed earlier.
I've now had another try at this puzzle; see my later post in this thread which has my complete walkthrough.
(Archive Note): Since the faulty start wasn't deleted from the puzzle thread, it's been included in this archive entry as an example of what can happen when a careless mistake is made.

HATMAN: You are undoubtedly right and I have missed something.
Did you check the code in SudokuSolver, in case I made some mistake there?
I'll go over your walkthrough at the weekend.

HATMAN: I had a quick look at your walkthrough and your solution goes wrong at point 9.
You have:
9. 45 rule on N9 2 innies R7C9 + R9C7 = 8 = [35/61], R7C9 = {36}, R9C7 = {15}, R6C9 = {14}, R9C6 = {15}
It should be:
9. 45 rule on N9 2 innies R7C9 + R9C7 = 8 = [35/62], R7C9 = {36}, R9C7 = {25}, R6C9 = {14}, R9C6 = {15}
This makes the deduction in 9a wrong and hopefully reclaims the puzzle as HS.
Although the deduction is wrong the answer is right so the puzzle solution flows on correctly from here.

simon_blow_snow: The highlight of my walkthrough is step 7, which I don't know how to name the technique. :?:

Definitely a human solvable. Thanks HATMAN for a nice puzzle! ;-)

Andrew: Thanks Maurice for a challenging puzzle. Yes, it probably is a Human Solvable rather than a hard Assassin.
Hope I've got it right this time. :pray:

(I was looking for a "fingers crossed" smilie but there isn't one).
My solving path is fairly similar to Simon's but I saw several steps in different ways, including the key breakthrough step.

Ed:

HATMAN wrote:

it has taken me three weeks+ to actually get a workable puzzle

Thanks for your efforts to make this very nice puzzle. I did it differently to the others. Managed to get it out quicker than most Assassins and some fun moves on the way. I started the same way so have pinched parts of Andrew's walk-through to save a bit of time. Hope he doesn't mind. My cracking step 12 is the only one that's any different.

HATMAN: Well done Guys - three different ways to break the ring.
My breakout was much less elegant:
Assuming 20(3) at r1c8 = {479} either:
gives a conflict on R1, N1; or
breaks uniqueness with r1c89 = {79} and r9c89 = {79}.
Both were unsatisfactory but I posted it as I was confident that there was a better solution and that you would find it.

Andrew's faulty start:

Walkthrough by simon_blow_snow:

Re-worked walkthrough by Andrew:

Walkthrough by Ed:

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Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Thu Oct 30, 2014 7:39 pm

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Assassin 222 by Ed (October 2011) here

Puzzle Diagram:

Code: Select, Copy & Paste into solver:

Solution:

+-------+-------+-------+
| 5 1 3 | 6 4 2 | 8 9 7 |
| 4 8 9 | 1 7 3 | 5 6 2 |
| 6 7 2 | 8 5 9 | 3 1 4 |
+-------+-------+-------+
| 3 5 1 | 2 8 7 | 6 4 9 |
| 8 6 4 | 9 1 5 | 2 7 3 |
| 9 2 7 | 3 6 4 | 1 8 5 |
+-------+-------+-------+
| 1 9 5 | 7 3 8 | 4 2 6 |
| 2 3 8 | 4 9 6 | 7 5 1 |
| 7 4 6 | 5 2 1 | 9 3 8 |
+-------+-------+-------+

Quote:

Ed: This was originally going to 221 but found a (minor) flaw in my solution at the last minute. Many thanks to manu for posting his instead.
I found this A222 a really enjoyable puzzle to solve. Found some advanced moves very early which got me hooked. Worked pretty much in the one area with the rest of the solution (18 steps) . However, many other spots are tempting so there must be other ways.

Andrew: Many thanks Ed for another challenging Assassin!
Your introduction suggests that you found more interesting steps than I did, although I found some; I particularly enjoyed my step 14a.
I'll be interested to see how Ed solved it and whether any other forum members found a better solving path than I did.

Ed: Thanks for your WT Andrew. Step 14a is really nice. We worked in the same key areas but differently because of my steps 5&6. I've included the link for some more examples of that technique in the techniques forum. Andrew found something that would have made my solution shorter by half as I comment on after step 8. I often miss blocks.

Walkthrough by Andrew:

Walkthrough by Ed:

Top

Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Thu Oct 30, 2014 8:17 pm

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Assassin 223 by manu (October 2011) here

Puzzle Diagram:

Ed's Coloured Diagram:

Code: Select, Copy & Paste into solver:

Solution:

+-------+-------+-------+
| 5 6 3 | 1 9 4 | 2 8 7 |
| 2 8 4 | 6 3 7 | 1 5 9 |
| 7 9 1 | 5 2 8 | 3 6 4 |
+-------+-------+-------+
| 3 7 2 | 9 6 5 | 8 4 1 |
| 6 4 5 | 7 8 1 | 9 2 3 |
| 8 1 9 | 2 4 3 | 5 7 6 |
+-------+-------+-------+
| 9 5 6 | 3 7 2 | 4 1 8 |
| 1 3 8 | 4 5 6 | 7 9 2 |
| 4 2 7 | 8 1 9 | 6 3 5 |
+-------+-------+-------+

Quote:

manu: A soft(er) one for this week
Enjoy !

Ed: Nice puzzle manu thankyou. Hope you don't mind me doing a "Børge" and posting an extra image. The original one is a bit blurry to me.
I raced through this first time since I saw the key step to my solution (step 5) very quickly. Tried the puzzle again without using that and came to a halt. As always, this is an optimised start so some obvious eliminations are not included. Please let me know of any errors or things that could be clearer.

manu: Nice work Ed :applause:

!
(sorry for the pics ...)

Andrew: Thanks manu for another good Assassin!
Nice walkthrough Ed, particularly your breakthrough step which broke the puzzle open quickly.
I found A223 much harder, partly because I didn't spot Ed's step 4; I only spotted that when I did the V2.

As often happens:

Walkthrough by Ed:

Walkthrough by Andrew:

Top

Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Thu Oct 30, 2014 8:30 pm

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Assassin 223 V2 by manu (October 2011) here

Puzzle Diagram:

Ed's Coloured Diagram:

Code: Select, Copy & Paste into solver:

Solution:

+-------+-------+-------+
| 5 6 3 | 1 9 4 | 2 8 7 |
| 2 8 4 | 6 3 7 | 1 5 9 |
| 7 9 1 | 5 2 8 | 3 6 4 |
+-------+-------+-------+
| 3 7 2 | 9 6 5 | 8 4 1 |
| 6 4 5 | 7 8 1 | 9 2 3 |
| 8 1 9 | 2 4 3 | 5 7 6 |
+-------+-------+-------+
| 9 5 6 | 3 7 2 | 4 1 8 |
| 1 3 8 | 4 5 6 | 7 9 2 |
| 4 2 7 | 8 1 9 | 6 3 5 |
+-------+-------+-------+

Quote:

manu: Nice work Ed :applause:

!
I had prepared a V2 I did not plan to post , but it could be interesting for you since your key step does not work for this one :twisted:

(sorry for the pics ...)

Andrew: Thanks manu for the variant!
At first sight it looked as if the changes to the cage pattern in N6 would make it harder to solve; the changes removed some of the steps which I'd used for A223.
Although I found steps harder to find this time, my actual steps were technically simpler. This may have been partly because I found a few steps which I'd missed when solving A223.

Ed: Even better puzzle! Found a neat way (step 5) to get into it early which works for the V1 as well. V3?

From there, followed the same general path as Andrew. The early key step didn't crack it comprehensively like in the original puzzle.

Walkthrough by Andrew:

Walkthrough by Ed:

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Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Thu Oct 30, 2014 8:47 pm

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Assassin 224 by Ed (October 2011) here

Puzzle Diagram:

Code: Select, Copy & Paste into solver:

Solution:

+-------+-------+-------+
| 7 8 3 | 2 1 9 | 5 6 4 |
| 2 6 1 | 4 7 5 | 3 9 8 |
| 4 9 5 | 6 8 3 | 2 1 7 |
+-------+-------+-------+
| 9 3 7 | 1 5 4 | 6 8 2 |
| 6 2 4 | 3 9 8 | 7 5 1 |
| 5 1 8 | 7 2 6 | 4 3 9 |
+-------+-------+-------+
| 1 5 6 | 9 4 2 | 8 7 3 |
| 3 7 2 | 8 6 1 | 9 4 5 |
| 8 4 9 | 5 3 7 | 1 2 6 |
+-------+-------+-------+

Quote:

Ed: I found this is a really, really tough puzzle. It may very well be too hard as a V1 Assassin. But put so much work into it and assume I missed something important since the v3.5.7 SSscore is 1.55. My solution has about 6 advanced steps! But some of them are so nice they are worth promoting in the V1. No chains used. I hope you still enjoy the challenge and find a better way.

manu: What a monster ! Many hard steps before crsacking it. Here is the most straightforward way I've found, but I need two forcing chains !! I am really impressive you did not use any one, Ed. ;clapclap;

My first move used a step by contradiction, but I managed to find an other way.

Andrew: That makes three of us who found A224 a really challenging puzzle. It's certainly at the top end for a V1 Assassin. Thanks Ed for an Assassin which makes one think hard!
Congratulations to Ed for solving it without using chains! :applause:

I'll be interested to see what your 6 advanced steps were.
Like manu I also used two forcing chains but not the same ones. I enjoyed manu's walkthrough; don't think I'm giving anything away when I say that he had some neat logic for the 40(7) cage.
There were times when I only managed to find two or three steps in a day, then yesterday I managed to make real progress.

Ed: Me to and agree, it is really neat. Nice to have a shortcut way to solve this puzzle. My step 9 is the way around manu's first chain. I found his chain way first but my purist's heart kept looking for a way around it.
Andrew's way to get his first placement is the best. Really neat use of killer subsets. After that, he found a longcut way but I still really appreciate the effort and have read closely the walk-through. My step 7d is the key reason why mine and Andrew's walkthrough's are different.
My other step I really enjoyed was my step 23 but Andrew got it using killer subsets again. He takes the record for number and sizes of killer subsets in his walkthrough!

wellbeback: I'm a little late to the party - and I too had a couple of short chains in my solution.
I have a lot of "Either A is true or B is true - but either way they both imply that C is true" logic.
After writing my solving path I perused the other solutions and I see a lot of commonality - but also some differences. In particular - my very first placement was the very last line in Ed's walkthrough

Thanks for the nice puzzle Ed ;clapclap;

Walkthrough by manu:

Walkthrough by Andrew:

Walkthrough by Ed:

Walkthrough by wellbeback:

Top

Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Fri Oct 31, 2014 1:03 am

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Double Diamond 1 by HATMAN (November 2011) here

Puzzle Diagram:

Code: Select, Copy & Paste into solver:

Solution:

+-------+-------+-------+
| 5 4 3 | 1 8 7 | 9 6 2 |
| 2 9 8 | 5 3 6 | 7 1 4 |
| 1 6 7 | 2 9 4 | 5 3 8 |
+-------+-------+-------+
| 3 8 5 | 9 1 2 | 6 4 7 |
| 6 7 9 | 3 4 5 | 8 2 1 |
| 4 1 2 | 6 7 8 | 3 9 5 |
+-------+-------+-------+
| 9 5 4 | 8 6 1 | 2 7 3 |
| 8 3 1 | 7 2 9 | 4 5 6 |
| 7 2 6 | 4 5 3 | 1 8 9 |
+-------+-------+-------+

Quote:

HATMAN: One number is missing from all four diagonals. So essentially they are four cages of the same size from 36 to 44.
Even when you know the missing number the resultant killer is still quite hard.
Note there is a very interesting innie.

simon_blow_snow: I think the interesting innie is this:

Hint:

Even knowing this, this puzzle is very diabolical! :pallid:

Any extra hint? :?:

simon_blow_snow: Turned out I missed the rule about "all 4 diagonals have the identical sum", and assumed that they could have different sums (the puzzle still has a unique solution under that assumption). Therefore I found the puzzle much harder than it should be.
Once I understand the correct constraint, everything flows nicely and I have this super quick walkthrough of only 6 steps (!):
Much thanks to HATMAN for another very nice challenging puzzle (and the hint he PMed me which I just discovered after posting this walkthrough)!
I wonder if there is any way to solve this logically assuming each diagonal can have different sums?

HATMAN: Nice the way you found the diagonal number - walkthrough close to mine after that.
I'll wait until Andrew posts before making any further comments.

Andrew: Thanks HATMAN for a challenging puzzle! I like the concept of the diagonals, particularly when the diagonals are all required to have the same unknown total. I assume from the puzzle title that more are planned.
Congratulations Simon for an excellent solving path! After a really neat way to fix the total for the diagonals, you found a couple of very useful 45s which I didn't spot; I assume from HATMAN's comment that he also found those 45s.

HATMAN wrote:

I'll wait until Andrew posts before making any further comments.

Thanks! I appreciate that.

Joe Casey: This is how I got started (See discussion below)
I get lost reading WTs, so I can't figure out whether this amounts to the same methods as you others.

Walkthrough by simon_blow_snow:

Walkthrough by Andrew:

Joe Casey's Outline Start and discussion about it:

Top

Andrew

Post subject: Archive Part H. Assassins 201-225, variants, other puzzles

Posted: Fri Oct 31, 2014 2:37 am

Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada

Paper Solvable 9 Elevenses by HATMAN (November 2011) here

Puzzle Diagram:

Code: Select, Copy & Paste into solver:

Solution:

+-------+-------+-------+
| 2 9 6 | 5 3 8 | 4 7 1 |
| 1 8 3 | 4 6 7 | 9 2 5 |
| 7 5 4 | 2 9 1 | 8 3 6 |
+-------+-------+-------+
| 4 2 9 | 1 7 3 | 6 5 8 |
| 6 7 1 | 8 5 9 | 2 4 3 |
| 5 3 8 | 6 4 2 | 1 9 7 |
+-------+-------+-------+
| 8 1 7 | 9 2 5 | 3 6 4 |
| 3 4 2 | 7 1 6 | 5 8 9 |
| 9 6 5 | 3 8 4 | 7 1 2 |
+-------+-------+-------+

Quote:

HATMAN: Been thinking of a assassin with a single cage sum for a while - this one came out as paper solvable.
Note the single Diagonal and almost symmetry around it - clearly you cannot have full symmetry with all cage totals the same.

simon_blow_snow: Here is a complete walkthrough, solving without pencilmarks
Very nice relaxing puzzle, thanks HATMAN! :-)

Andrew: Congratulations HATMAN on achieving your target of making all the cage totals 11! An enjoyable puzzle.
My solving path is fairly similar to Simon's so maybe parts of it are fairly narrow but it's not difficult.
I also tried to make my walkthrough a paper solvable one. Maybe I overdid this by limiting the number of times I locked naked combinations, so my walkthrough is a bit longer than it needs to be.

Walkthrough by simon_blow_snow:

Walkthrough by Andrew:

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