The New Sudoku Players' Forum

by **Hajime** » Fri Aug 28, 2020 2:39 pm

A halo is a rainbow around the sun, see https://www.bing.com/images/search?q=halo%20sun&qs=n&form=QBIR
Same colors are houses that need 1 to 9. Like a Jigsaw or a SudokuP (disjoint groups)
A. for p&p people
A symmetrical Samurai with 4 rainbow-grids and a normal vanilla middle grid.
The 4 outer grids have normal boxes.
Only pointing/claiming needed, but also with use of the colored houses.

: halo_pp.PNG (35.21 KiB) Viewed 1084 times

and the pencil marks are provided here:

Hidden Text: Show

Code: Select all: +-------'--------'-------+-------'-----'------+--------'--------'---------+ +---------'--------'-------+------'-----'-------+------'--------'------+ | 12458 124589 124589|2456789 3 14578|12456789 12456789 1456789 | | 125678 1235678 123567| 2345 9 1234678| 24568 1256 12358| | 124589 1234589 234589| 14589 45689 14578|12456789 1456789 1245678 | | 1235789 1256789 1235679| 23457 1268 12356 |124689 2345689 12569| | 124589 245689 7 |1245689 45689 1458 | 145689 3 124589 | | 12569 4 12569 | 235 1268 123568| 7 123689 235689| +-------'--------'-------+-------'-----'------+--------'--------'---------+ +---------'--------'-------+------'-----'-------+------'--------'------+ | 245789 14589 124589|1345678 4568 134578| 1245678 124589 1245789 | | 2345679 125679 123579| 24579 1278 1245789|125689 12356 123689| | 6 14578 1458 | 14578 2 9 | 3 14578 4578 | | 1279 2579 8 | 6 3 12579 | 1259 1259 4 | | 3 1245789 124589| 145678 4568 1458 | 1245789 2456789 14589 | | 12356 12369 234569| 259 128 124589|125689 1235689 7 | +-------'--------'-------+-------'-----'------+--------'--------'---------+------'-------'------+---------'--------'-------+------'-----'-------+------'--------'------+ | 124589 1234589 134589| 458 7 6 | 4589 14589 124589 |134578 2345679 123689| 235689 2356 23679 | 1 4 2379 | 25689 256789 25689| |1245789 1345789 12458 | 4589 4589 3458 | 14589 12456789 123456789|134578 2345679 123689|123456789 1235689 2356 | 2379 267 2679 | 12589 12456789 125689| | 45789 4578 6 | 34589 1 2 | 45789 45789 345789 |134578 2345679 123689| 124679 12679 2469 | 8 5 2679 | 3 1279 1269 | +-------'--------'-------'-------'-----'------+--------'--------'---------+------'-------'------+---------'--------'-------+------'-----'-------'------'--------'------+ | 13459 13459 13459 | 6 8 7 | 23459 23459 23459 | | 2 34678 34678 | 9 3 5 | 34678 34678 1 | | 356789 356789 356789 | 2 1 4 | 356789 356789 356789| +-------'--------'-------+-------'-----'------+--------'--------'---------+------'-------'------+---------'--------'-------+------'-----'-------+------'--------'------+ | 689 1378 4 | 3689 2 5 | 36789 13789 136789 |134578 2345679 123689| 246789 24789 2468 | 1 5 4789 | 3 4789 2469 | | 256789 1235689 12358 | 3689 3689 3468 | 1689 2345789 123456789|134578 2345679 123689|123456789 1234589 2357 | 34789 3489 478 | 15789 1245689 124569| | 25689 235689 235689| 348 1 7 | 34689 289 2345689 |134578 2345679 123689| 134589 3579 3478 | 6 2 34789 | 1589 145789 1459 | +-------'--------'-------+-------'-----'------+--------'--------'---------+------'-------'------+---------'--------'-------+------'-----'-------+------'--------'------+ | 1 2456789 25689 | 234568 358 2368 | 234689 34789 2689 | | 235 12348 123458| 458 13489 1345689| 12569 1234569 7 | | 3 2468 268 | 12468 7 9 | 5 1248 1468 | | 1346 1345 9 | 2 7 13456 | 156 13456 8 | | 456789 2689 25689 |1234568 3568 123468| 123478 23789 1234689 | | 1234578 14578 134578| 34589 13489 1345689| 12569 2359 123469| +-------'--------'-------+-------'-----'------+--------'--------'---------+ +---------'--------'-------+------'-----'-------+------'--------'------+ | 24589 134589 7 | 23589 3589 1238 | 123489 6 2389 | | 1578 6 12358 | 35789 1389 123589| 4 123789 12359| | 2689 12345689 135689| 12689 35689 12368| 1234789 1234589 1234578 | | 1345789 1234589 1234578|345789 13489 23579 |126789 1235789 156 | | 258 23689 1235689|1356789 4 2368 | 123789 1235789 123589 | | 1234589 12345789 1234578| 34589 6 1234789|125789 1578 1359 | +-------'--------'-------'-------'-----'------'--------'--------'---------+ +---------'--------'-------'------'-----'-------'------'--------'------+

For solvers:

Hidden Text: Show

B. for bits and bytes solvers. you need to catch some fishes.
The middle grid is Anti-King and Anti-Knight, the outside grids have no normal boxes.

: halo_bb_ANAK.PNG (31.07 KiB) Viewed 1084 times

In code:

Hidden Text: Show

C. for die-hards
the samurai is crunched and has 4x4 overlapping regions.
The middle grid is a vanilla Sudoku and the outside grids have no normal boxes.

: halo_4x4.PNG (10.45 KiB) Viewed 1084 times

In code:

Hidden Text: Show

Have fun.

by **creint** » Fri Aug 28, 2020 5:48 pm

A: 3 steps with one or more locked singles required (2 with hidden constraints)
B: 3 steps with one or more locked singles required (2 with hidden constraints)
C: 5 steps with one or more locked singles required (4 with hidden constraints)

by **Hajime** » Fri Aug 28, 2020 6:52 pm

creint wrote:...locked singles ...

You mean 'locked subset'?
Can you elaborate the 3 steps for B which steps require additional methods and what candidates are eliminated and why.
I need fishes to solve and you don't ...

by **creint** » Fri Aug 28, 2020 9:34 pm

Following state, checking only singles/point+claiming in your solver could result in this right before locked singles in my solver:

Hidden Text: Show

Code: Select all: 1 67 3 46 2 9 467 5 8 245689 2345679 1 2345679 5679 23679 234679 234567 234568 2 1 467 9 467 8 467 3 5 234567 1 234567 34567 8 23467 23567 23467 9 47 5 467 1 467 2 9 8 3 34567 345679 45689 345679 2 34679 1 35679 3468 47 8 5 3 467 1 2 467 9 2346789 234567 23456789 24569 5679 34679 2345679 2345679 1 3 67 9 8 5 467 1 467 2 25679 24679 24567 245679 3 24679 8 1 2456 8 2 1 7 3 46 5 9 46 2467 23467 8 23467 1 5679 2469 2345679 345679 23456 5 3 2 46 9 467 8 1 467 245679 2345679 2345679 235679 234679 567 1 24569 8 3456 9 4 67 5 8 3 67 2 1 8 45679 45679 45679 5679 1 8 2345679 24569 23456 6 9 8 2 1 5 3 47 47 2467 1 69 269 8 4 5 236 2369 7 1246789 124679 4678 245678 24567 245678 12345679 12345679 2345679 12678 4 3 5 1278 12678 1267 678 9 3 268 24567 12467 24567 9 1345678 1345678 12468 234678 134567 1235679 2567 8 123467 12479 12467 34567 23457 1245679 234689 123467 12456789 234567 135678 123456789 145689 12346789 235678 9 13567 1245678 367 124567 124678 1247 345678 23457 1245679 23468 2345679 245678 345679 235678 245689 346789 236789 1 1234567 123567 145678 134679 235678 124679 124679 34578 234578 1245679 23468 1234567 145678 234567 12568 1234678 135678 234678 9 13457 8 1457 2 13457 3579 14579 13479 6 123468 1346789 1246789 124689 123678 1236789 346789 5 234678 1234578 123567 124567 13467 1345678 123456789 2356789 1245679 23478 1689 1256789 3 126789 4 256789 1678 126789 25678 1234678 12357 9 13467 12345678 1345678 12345678 235678 2457 1234689 1245689 1246789 12356789 235678 1234678 13456789 1234678 345678 24567 2367 24578 3467 9 2345678 345678 2345678 1 7 1234689 125689 2345689 12368 12345689 134568 134689 234568 235678 125679 124678 13479 12345678 1234567 12345678 1345678 234578 5 136789 46789 134678 13678 134678 2 1346789 468

After 1 pass of locked singles (something like pointing/box line reduction using a single digit locked in one constraint)

Hidden Text: Show

Code: Select all: 1 67 3 46 2 9 467 5 8 245689 2345679 1 2345679 5679 23679 234679 24567 24568 2 1 467 9 47 8 467 3 5 24567 1 234567 34567 8 23467 23567 23467 9 47 5 4 1 467 2 9 8 3 4567 345679 45689 345679 2 34679 1 35679 3468 47 8 5 3 467 1 2 467 9 246789 234567 23456789 24569 5679 34679 2345679 2345679 1 3 67 9 8 5 7 1 46 2 25679 24679 24567 245679 3 24679 8 1 2456 8 2 1 7 3 46 5 9 46 27 237 8 237 1 5679 2469 245679 45679 2456 5 3 2 46 9 67 8 1 467 2459 23459 24569 23569 23469 567 1 24569 8 456 9 4 6 5 8 3 7 2 1 8 4579 4567 45679 5679 1 8 267 26 236 6 9 8 2 1 5 3 47 47 26 1 69 269 8 4 5 236 236 7 126789 124679 4678 258 24567 245678 12367 12367 2367 12678 4 3 5 1278 12678 1267 678 9 3 268 24567 12467 24567 9 13678 13678 1268 23678 134567 1235679 2567 8 123467 1279 12467 34567 235 1245679 24689 123467 12456789 234567 13567 12345679 14569 1234679 23567 9 13567 1245678 367 124567 12678 1247 345678 235 1245679 2468 234679 245678 345679 235678 245689 346789 236789 1 1234567 123567 145678 134679 235678 12679 124679 34578 2358 1245679 246 1234567 145678 234567 12568 1234678 135678 234678 9 13457 8 1457 2 13457 3579 1457 1479 6 123468 1346789 124679 124689 123678 1236789 346789 5 234678 1234578 123567 124567 13467 1345678 12345678 2356789 124679 2478 1689 1256789 3 126789 4 256789 1678 126789 25678 1234678 12357 9 13467 12345678 1345678 12345678 2678 2457 1234689 1245689 124679 12356789 235678 1234678 13456789 1234678 345678 24567 2367 24578 3467 9 2345678 345678 24678 1 7 1234689 12569 234689 12368 12345689 134568 134689 234568 235678 125679 124678 13479 12345678 1234567 12345678 14678 24578 5 136789 4679 134678 13678 134678 2 1346789 468

When I compare this for example row 8 puzzle 1.
6 locked in that row both digits seeing 6r3c3 -> exclude 6r3c3
7 locked in that row both digits seeing 7r3c3 -> exclude 7r3c3

Row 9 puzzle 1
4 locked in that row seeing 4r4c5 of center puzzle -> exclude 4r4c5 of center puzzle.

by **Mathimagics** » Sat Aug 29, 2020 4:44 am

And all of this emanates from an ExCel spreadsheet? Awesome!! 8-)

by **Hajime** » Sat Aug 29, 2020 8:12 am

Mathimagics wrote:And all of this emanates from an ExCel spreadsheet? Awesome!!

No excel anymore. Like you suggested about a year ago, I made an .exe

It is about 1000 times faster, and with more functionality.
See http://forum.enjoysudoku.com/sisesuso-simple-serial-sudoku-solver-t35062-15.html bottom of topic.

by **Hajime** » Sat Aug 29, 2020 8:17 am

crient, you said: Row 9 puzzle 1.
Puzzle A is indeed locked singles only.
But puzzle B needs fishes imho.

by **Mathimagics** » Sat Aug 29, 2020 8:42 am

Hajime wrote:No excel anymore. Like you suggested about a year ago, I made an .exe

You've come a long way, well done 8-)

by **Hajime** » Sat Aug 29, 2020 1:03 pm

Mathimagics wrote:
Hajime wrote:No excel anymore. Like you suggested about a year ago, I made an .exe

You've come a long way, well done

Just 2.5 years now. Hajime (in Japanese) = Let's begin (in English).
Lots of learning still to be done. So few moments to make puzzles or extend SiSeSuSo.
And this forum is like a school to me. Many teachers around

by **creint** » Sat Aug 29, 2020 2:49 pm

My previous example was all from C, (puzzle = grid).

Here is puzzle B (edit this time really B):
Before my solver using locked singles:

Hidden Text: Show

Code: Select all: 236789 1235689 235689 13569 135679 4 12356789 1235679 136789 134589 1234789 12389 6 134589 3789 489 1345789 1245789 236789 23689 236789 4 2369 136789 123679 136789 5 134589 134789 135789 13489 13589 2 6 45789 145789 1 23569 35679 8 235679 35679 345679 234679 23679 6 12789 15789 1589 1289 4 189 1789 3 4 3569 1 3569 8 35679 23679 235679 2369 24589 13489 123589 134589 6 389 7 134589 1289 35689 7 235689 13569 134569 13689 12345689 2345689 123689 1389 6 13789 13489 134789 3789 5 2 1489 3569 4 35679 2 13679 1356789 35689 1356789 136789 13489 5 789 2 134789 6 13489 13489 189 2356789 123569 3456789 1369 12345679 35689 12356789 1356789 369 1235689 1235689 123689 13589 1389 4 589 135789 35789 2 135789 6 235679 135689 2346789 13569 234569 1356789 13589 2359 1389 123589 123589 4 7 1389 6 1389 24589 3589 13489 134589 124589 35689 13689 35689 7 13569 2 3569 135689 4 7 123689 123689 2389 2389 358 7 2389 1 3489 6 4589 12356789 1235689 135689 123689 123689 12389 12389 4 123578 123789 123789 1389 12389 4 5 12389 6 12378 12356789 4 1356789 13689 1236789 123789 12389 12378 123578 4 1356789 1357 35789 13569 2 135789 13568 1356789 135689 13789 123789 4 12578 123578 6 23578 13578 2578 13578 9 356789 1356789 13567 4 356789 1359 3578 1358 2 4 13578 1378 6 13578 9 23578 234578 34578 14578 134578 23578 35678 1356789 123567 235789 1235789 35789 4 35689 135789 135689 135789 123789 1358 123578 123578 23578 9 1345678 14578 235678 124578 3589 4 1235 23589 123589 6 23589 7 3589 3578 4 35678 1 35678 2 578 9 3578 35678 2 9 3578 135678 13578 13578 4 1356 1578 125678 245678 9 45678 5678 3 12578 124578 23569 356789 1357 3578 4 135789 12356789 123589 356789 9 23578 34578 3578 1 4578 6 234578 23578 1 359 4 6 3578 35789 235789 23589 35789 3578 135678 1345678 23578 24578 9 124578 1235678 12345678 23579 35679 8 1 3579 357 235679 23569 4 2 135678 35678 578 3578 134578 9 1345678 345678 2356789 135789 23567 2359 356789 4 135678 1235689 1356789 13578 9 12578 4 23578 135678 12578 235678 135678

After locked singles:

Hidden Text: Show

Code: Select all: 236789 1235689 235689 13569 135679 4 12356789 1235679 136789 134589 13478 12389 6 134589 3789 489 13489 145789 236789 23689 236789 4 2369 136789 123679 136789 5 134589 13478 1389 13489 1389 2 6 5789 15789 1 23569 35679 8 235679 35679 345679 234679 23679 6 1278 1789 1589 1289 4 189 1789 3 4 3569 1 3569 8 35679 23679 235679 2369 24589 1348 123589 13489 6 389 7 134589 1289 35689 7 235689 13569 13569 13689 12345689 2345689 123689 1389 6 13789 13489 134789 3789 5 2 1489 3569 4 35679 2 13679 1356789 35689 135689 136789 13489 5 789 2 134789 6 13489 13489 189 235689 123569 345689 1369 1234569 35689 12356789 1356789 369 13589 123589 3689 1358 1389 4 589 13789 35789 2 135789 6 235679 135689 2346789 13569 34569 1356789 13589 2359 1389 23589 123589 4 7 1389 6 1389 24589 3589 13489 134589 124589 35689 13689 35689 7 13569 2 3569 135689 4 7 1389 13689 238 389 38 7 389 1 3489 6 4589 1356789 1235689 135689 2389 123689 138 1389 4 13578 123789 123789 1389 12389 4 5 1389 6 12378 1235689 4 3589 1389 1236789 1378 1389 138 12358 4 1356789 1357 35789 13569 2 3589 13568 135789 35689 1389 12389 4 12578 1238 6 23578 13578 2578 13578 9 356789 1356789 3567 4 356789 1359 3578 1358 2 4 1358 138 6 13578 9 23578 234578 34578 14578 134578 23578 35678 1356789 123567 35789 1235789 35789 4 35689 13789 135689 135789 123789 138 123578 2378 23578 9 1345678 14578 235678 124578 3589 4 135 23589 123589 6 23589 7 3589 3578 4 35678 1 35678 2 578 9 3578 35678 2 9 3578 135678 13578 13578 4 1356 1578 12678 45678 9 45678 578 3 12578 124578 23569 356789 1357 3578 4 135789 1356789 123589 356789 9 2378 34578 3578 1 4578 6 234578 23578 1 359 4 6 3578 35789 235789 23589 35789 3578 13678 1345678 23578 24578 9 124578 1235678 12345678 23579 35679 8 1 3579 357 235679 3569 4 2 13678 35678 578 3578 134578 9 1345678 345678 356789 135789 23567 2359 356789 4 135678 23589 1356789 13578 9 12578 4 23578 135678 12578 23578 135678

Take grid 1: 4r7c24 -> -4r5c5 or 4r35c7 -> -4r5c5 or diagonal 4r5c7|4r7c5 -> -4r5c5 and more.

by **Hajime** » Sun Aug 30, 2020 9:59 am

Thanks creint. I discovered a bug in my Generalized Intersection method dealing with JigSaw, for puzzle C.

creint wrote:My previous example was all from C, (puzzle = grid).
Here is puzzle B:
Before my solver using locked singles:
Code: Select all
12458 124589 124589 245789 3 14578 1245789 6 145789 .....

Take grid 1: 4r7c24 -> -4r5c5 or 4r35c7 -> -4r5c5 or diagonal 4r5c7|4r7c5 -> -4r5c5 and more.

This is not puzzle B but A, with a given 3 in r1c5. But I saw your point. Thanks again.

by **Hajime** » Sun Sep 06, 2020 10:33 am

I implemented the Jigsaw type for Generalized Intersections (locked singles) in a prototype of SiSeSuSo.
Still I need a X-Wing to solve the puzzle C; puzzle B can be solved with Generalized intersections indeed.
It may be part of the omission that (W)XY(Z)-Wings methods are still not implemented yet.

Here a puzzle D (layout same as puzzle C, with 4x4 overlapping areas) where I need even an XY-Chain (next to Jigsaw Generalized Intersections and bigger fishes)

Code: Select all: +--'--'--'--'--'--'--'--'--+ +--'--'--'--'--'--'--'--'--+ | 5 1 | | | | 8| | 2 | | 8 3 6| | | | 3 | | 4 | | 6 | | 8 7 | | +--'--'--+--+--+--+--'--'--+ + | 4 3 | | | | | | | | 6 | | | | | | | | 2 | | | | | | | | +--'--'--+--+--+--+--'--'--+ + | 2 4 | | | | | | 5| +--'--'--'--'--+--'--'--+--+ +--+--'--'--+--'--'--'--'--+ | 9 | | | +--'--'--'--'--+--'--'--+--+ +--+--'--'--+--'--'--'--'--+ | 1 | | | | | | 9 4 2 6| | +--'--'--+--+--+--+--'--'--+ + | 5 | | | 9| | | 8| | 9 4 | | | | | | 5 | | 1 7 | | | | | | | | +--'--'--'--+--+--'--'--'--+ + | | | 3 1| | 3 4| | | | 8 | | | | 4 | | 4| | | | 1 | +--'--'--'--'--'--'--'--'--+ +--'--'--'--'--'--'--'--'--+ #5//B4,JS/L4,JS/G14/B24,JS/L24,JS .5....1..........8.8...3..6......3..6........43........6.........2......2.4...... ABCDEFGHIBCDEFGHIACDEFGHIABDEFGHIABCEFGHIABCDFGHIABCDEGHIABCDEFHIABCDEFGIABCDEFGH ...........2.................4.........8...7....................................5 IHGFEDCBAAIHGFEDCBBAIHGFEDCCBAIHGFEDDCBAIHGFEEDCBAIHGFFEDCBAIHGGFEDCBAIHHGFEDCBAI .....................................9....................9...................... .1.......5........9.4........17.....................34......8........4........... IABCDEFGHHIABCDEFGGHIABCDEFFGHIABCDEEFGHIABCDDEFGHIABCCDEFGHIABBCDEFGHIAABCDEFGHI ....942.6........8.......5.............3....1..........................4.....1... HGFEDCBAIGFEDCBAIHFEDCBAIHGEDCBAIHGFDCBAIHGFECBAIHGFEDBAIHGFEDCAIHGFEDCBIHGFEDCBA

by **creint** » Sun Sep 06, 2020 7:44 pm

For puzzle C, when you release your version I can compare the results to determine which things you are missing.
Puzzle D: 6 steps of locked singles then one step with fishes (only one x-wing required) then 7 steps of locked singles and last one step of locked sets.
X-Wing and some larger can be found using X-Cycles. Generalized fish can be found in this puzzle.

by **Hajime** » Tue Sep 08, 2020 2:02 pm

creint wrote:For puzzle C, when you release your version I can compare the results to determine which things you are missing.

The first 156 cells are solved with Naked Subsets, Pointing Claiming and Generalized Intersections.
The state of the puzzle is at that moment:

Hidden Text: Show

Code: Select all: +-------'-------'-------'------'--------'--------'--------'-------'------+ +----'------'-----'-----'------'------'------'-------'------+ | 1 7 3 6 2 9 4 5 8 | | 8 7 1 3 6 2 9 5 4 | | 2 1 7 9 4 8 6 3 5 | | 2 1 6 7 8 4 5 3 9 | | 7 5 4 1 6 2 9 8 3 | | 6 3 5 4 2 7 1 9 8 | | 4 8 5 3 7 1 2 6 9 | | 4 2 8 9 5 3 6 7 1 | | 3 6 9 8 5 7 1 4 2 | | 7 6 4 5 3 9 8 1 2 | | +--------'--------'-------+------+---+----+------'-----'-----+ + | 8 2 1 7 3 | 4 5 9 | 6 | 2 | 3 | 8 7 1 | 9 6 2 4 5 | | 5 3 2 4 9 | 6 8 1 | 7 | 4 | 9 | 5 3 2 | 7 1 4 8 6 | | 9 4 6 5 8 | 3 7 2 | 1 | 8 | 5 | 4 9 6 | 1 8 7 2 3 | | +--------'--------'-------+------+---+----+------'-----'-----+ + | 6 9 8 2 1 | 5 3 7 | 4 | 6 | 1 | 9 2 8 | 4 5 3 6 7 | +-------'-------'-------'------'--------+--------'--------'-------+------+ +----+------'-----'-----+------'------'------'-------'------+ | 289 249 48 | 28 5 7 | 16 16 3 | +-------'-------'-------'------'--------+--------'--------'-------+------+ +----+------'-----'-----+------'------'------'-------'------+ | 12678 4 3 5 1278 | 128 126 68 | 9 | 3 | 28 | 7 4 5 | 9 368 1368 1268 2368 | | +--------'--------'-------+------+---+----+------'-----'-----+ + | 134567 1235679 2567 8 123467 | 1279 126 356 | 235 |179|2468| 1236 168 47 | 35678 12368 9 1234678 23568| | 9 13567 1245678 367 124567 | 1278 124 34568 | 235 | 17| 268| 236 568 9 |235678 24568 3468 23678 1 | |1234567 123567 145678 134679 235678 | 1279 1269 358 | 2358 |179|2468| 126 568 47 | 1268 123678 135678 2368 9 | | +--------'--------'-------'------+---+----'------'-----'-----+ + | 13457 8 1457 2 1345 3579 1457 13479 6 | | 3 468 12678 1268 1268 9 468 5 24678| | 123458 123567 124567 13467 135678 12345678 2356789 1245679 23478| | 1 2568 3 268 4 2568 678 9 2678 | | 123678 12357 9 13467 12345678 1345678 12345678 235678 2457 | | 9 124568 12678 12368 23568 123678 13468 124678 3678 | | 24567 2367 24578 3467 9 2345678 345678 2345678 1 | | 7 9 1268 2368 12368 123468 14568 3468 234568| | 235678 125679 124678 13479 12345678 1234567 12345678 1345678 234578| | 5 1368 9 1368 13678 14678 2 3468 468 | +-------'-------'-------'------'--------'--------'--------'-------'------+ +----'------'-----'-----'------'------'------'-------'------+ #5//B4,JS/L4,JS/G14/B24,JS/L24,JS 173629458217948635754162983485371269369857142821734596532496817946583721698215374 ABCDEFGHIBCDEFGHIACDEFGHIABDEFGHIABCEFGHIABCDFGHIABCDEGHIABCDEFHIABCDEFGIABCDEFGH 871362954216784539635427198428953671764539812387196245953271486549618723192845367 IHGFEDCBAAIHGFEDCBBAIHGFEDCCBAIHGFEDDCBAIHGFEEDCBAIHGFFEDCBAIHGGFEDCBAIHHGFEDCBAI 459623871681749532372185496537461928....57..3...93.745.................9......... .435....9...8.....9..................8.2....6...........9..........9...1......... IABCDEFGHHIABCDEFGGHIABCDEFFGHIABCDEEFGHIABCDDEFGHIABCCDEFGHIABBCDEFGHIAABCDEFGHI .7459..........9.....9....1........93....9.5.1.3.4..9.9........79.......5.9...2.. HGFEDCBAIGFEDCBAIHFEDCBAIHGEDCBAIHGFDCBAIHGFECBAIHGFEDBAIHGFEDCAIHGFEDCBIHGFEDCBA

Then the next methods are used:
Hidden/Naked subsets | NSS (16)g3r5c78 => (-1)g3r5c1 (-16)g3r5c2 (-6)g3r5c3 | NSS (47)g5c4r24 => (-4)g5r5c4 (-7)g5r6c4 (-7)g5r7c4 (-4)g5r8c4 (-7)g5r9c4
Pointing/Claiming | C (4)3r8b7 => (-4)g3r7c2 (-4)g3r7c3 (-4)g3r9c2 (-4)g3r9c3
Generalized Intersection | [3](7)r1c1J4 => (-7)g4r6c1 | [3](7)r1c5J9 => (-7)g4r5c5 | [3](4)r2c1J3 => (-4)g4r7c1 | [3](4)r2c5J8 => (-4)g4r6c5 | [3](9)r2c6J9 => (-9)g4r6c6 | [3](9)J1r5c7 => (-9)g4r5c7 | [3](1)r1c8J2 => (-1)g5r9c8 | [3](4)c4r2J2 => (-4)g5r2c6 | [3](7)c4r2J2 => (-7)g5r2c6 | [3](7)J3r2c9 => (-7)g5r2c9 | [3](4)r3c6J9 => (-4)g5r4c6 | [3](7)J8r3c7 => (-7)g5r3c7 | [3](7)r3c8J2 => (-7)g5r9c8 | [3](4)c1r4J7 => (-4)g5r4c8 | [3](7)c3r5J9 => (-7)g5r5c5 | [3](4)c2r7J3 => (-4)g5r7c9 | [3](7)J6r7c7 => (-7)g5r7c7 | [3](5)c7r8J8 => (-5)g5r8c3 | [3](5)r8c9J4 => (-5)g5r6c9
Generalized Intersection | [3](5)r6c6J2 => (-5)g5r2c6
Generalized Intersection | [3](5)r2c9J3 => (-5)g5r7c9 | [3](5)J3r4c5 => (-5)g5r4c5
X-Wing or Fishes | X-Wing (4)g5c14r24 => (-4)g5r2c8

Generalize Intersection notation [3](7)r1c1J4 => (-7)g4r6c1 means: 3 houses, candidate 7 is locked in r1 with intersections with c1 and Jigsaw house 4 => candidate 7 to be erased in r6c1 in grid 4.

All above methods and eliminations are needed to solve the next cell.

So I need an X-Wing in columns 14 and row 24 to eliminate candidate 4 in r2c8 (all in grid 5).
In total 13 cells can be solved (naked/hidden Singles) before a next method is needed...

After that it is again various Naked Subsets, Pointing/Claiming and Generalized Intersections to solve the rest of the puzzle.
Hope you can help.

by **creint** » Tue Sep 08, 2020 5:01 pm

Grid 3, locked singles 1r6c12 -> -1r5c12,-1r7c1 and in grid 4 -1r1c15,-1r9c6.
Looks like your are missing all the locked singles from grid 3.
Most of them exclude in other grids.

'Generalized Intersection' but not yet in code.

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