The New Sudoku Players' Forum

by **P.O.** » Wed Jan 25, 2023 6:33 pm

Code: Select all: 1 . 9 . . . . . 7 . . . . . . 2 . . . 3 . . . 7 . 5 . . 9 . 8 6 2 . . . . . 4 9 3 1 . . 5 3 . . 5 7 4 . . . . . 3 7 8 6 4 . 1 . 6 7 4 1 3 5 8 . 4 1 8 2 5 9 7 3 6 1.9.....7......2...3...7.5..9.862.....4931..53..574.....37864.1.6741358.418259736 1 2458 9 36 24 58 368 46 7 5678 4578 56 136 49 58 2 1469 3489 268 3 26 16 249 7 1689 5 489 57 9 15 8 6 2 13 147 34 2678 278 4 9 3 1 68 267 5 3 28 126 5 7 4 1689 1269 289 259 25 3 7 8 6 4 29 1 29 6 7 4 1 3 5 8 29 4 1 8 2 5 9 7 3 6

by **jco** » Wed Jan 25, 2023 10:43 pm

Code: Select all: .--------------------------------------------------------------. | 1 245-8 9 | 36 24 58 |tC38(6) 46 7 | | 567-8 457-8 Aa56 | 136 49 b58 | 2 1469 3489 | |Aa268 3 Aa26 | 16 249 7 | 1689 5 489 | |----------------------+-------------------+--------------------| | 57 9 B15 | 8 6 2 | B13 147 34 | | v2678 v278 4 | 9 3 1 | u68 267 5 | | 3 w28 126 | 5 7 4 | 1689 1269 289 | |----------------------+-------------------+--------------------| | 259 25 3 | 7 8 6 | 4 29 1 | | 29 6 7 | 4 1 3 | 5 8 29 | | 4 1 8 | 2 5 9 | 7 3 6 | '---------------------------------------------------------------'

1. (8=265)b1p679 - (5=8)r2c6 => -8 r2c12

2. Almost ALS XY-wing

[(8=265)b1p679 - (5=13)r4c37 - (3=*8)r1c7] = (6*)r1c7 - (6=8)r5c7 - (8)r5c12 = (8)r6c2

=> -8 r1c2 [1 placement and HP(38)b3p16]
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Code: Select all: .--------------------------------------------------------------. | 1 45-2 9 |c36 c24 58 | c38 c46 7 | | 567 457 56 | 136 49 58 | 2 1469 38 | | 8 3 26 | 16 249 7 | 169 5 49 | |----------------------+-------------------+--------------------| | 57 9 15 | 8 6 2 | 13 147 34 | | 267 b278 4 | 9 3 1 | b68 267 5 | | 3 a28 126 | 5 7 4 | 1689 1269 289 | |----------------------+-------------------+--------------------| | 259 25 3 | 7 8 6 | 4 29 1 | | 29 6 7 | 4 1 3 | 5 8 29 | | 4 1 8 | 2 5 9 | 7 3 6 | '---------------------------------------------------------------'

3. ALS W-wing (2=8)r6c2 - (8)r5c2 = (8)r5c7 - (8=3642)r1c4578 => -2 r1c2 [3 placements and basics]
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Code: Select all: .--------------------------------------------------. | 1 45 9 | 36 2 58 | 38 46 7 | | 567 457 56 | 13 49 58 | 2 149 38 | | 8 3 2 | 16 49 7 | 16 5 49 | |----------------+----------------+----------------| | 57 9 15 | 8 6 2 | 13 147 34 | | 67-2 278 4 | 9 3 1 | 68 267 5 | | 3 *28 16 | 5 7 4 | 9 16 *28 | |----------------+----------------+----------------| | 259 5-2 3 | 7 8 6 | 4 29 1 | |*29 6 7 | 4 1 3 | 5 8 *29 | | 4 1 8 | 2 5 9 | 7 3 6 | '--------------------------------------------------'

4. Skyscraper (2) r6c29,r8c19 => -2 r5c1, r7c2; ste

by **Leren** » Wed Jan 25, 2023 11:13 pm

Code: Select all: *------------------------------------------------* | 1 f248-5 9 | 36 24 58 | 368 46 7 | |d5678 e4578 a56 | 136 49 58 | 2 1469 3489 | | 268 3 26 | 16 249 7 | 1689 5 489 | |------------------+------------+----------------| |c57 9 b15 | 8 6 2 | 13 147 34 | | 2678 278 4 | 9 3 1 | 68 267 5 | | 3 28 126 | 5 7 4 | 1689 1269 289 | |------------------+------------+----------------| | 259 25 3 | 7 8 6 | 4 29 1 | | 29 6 7 | 4 1 3 | 5 8 29 | | 4 1 8 | 2 5 9 | 7 3 6 | *------------------------------------------------*

1. (5) r2c3 = r4c3 - (5=7) r4c1 - r2c1 = (7-4) r2c2 = (4) r1c2 => - 6 r1c2; basics and 9 placements.

Code: Select all: *-------------------------------------------* | 1 248 9 | 36 24 5 | 368 46 7 | | 567 457 56 | 136 49 8 | 2 1469 349 | |b268 3 26 | 16 249 7 | 1689 5 c489 | |--------------+-----------+----------------| | 57 9 15 | 8 6 2 | 13 147 34 | |a2678 278 4 | 9 3 1 | 6-8 267 5 | | 3 2-8 126 | 5 7 4 | 1689 1269 d289 | |--------------+-----------+----------------| | 259 25 3 | 7 8 6 | 4 29 1 | | 29 6 7 | 4 1 3 | 5 8 29 | | 4 1 8 | 2 5 9 | 7 3 6 | *-------------------------------------------*

2. Skyscraper (8) : (8) r5c1 = r3c1 - r3c9 = (8) r5c9 = > - 8 r5c7, r6c2; stte

Leren

by **SteveG48** » Thu Jan 26, 2023 12:26 am

Code: Select all: *------------------------------------------------------------* | 1 cf2458 9 | 36 24 d58 |c368 46 7 | |e5678 e4578 e56 | 136 49 d58 | 2 1469 3489 | | 268 3 26 | 16 249 7 | 1689 5 489 | *--------------------+-------------------+-------------------| |g57 9 f15 | 8 6 2 | 13 147 34 | |a2678 ah278 4 | 9 3 1 |b6-8 267 5 | | 3 b2-8 126 | 5 7 4 | 1689 1269 289 | *--------------------+-------------------+-------------------| | 259 g25 3 | 7 8 6 | 4 29 1 | | 29 6 7 | 4 1 3 | 5 8 29 | | 4 1 8 | 2 5 9 | 7 3 6 | *------------------------------------------------------------*

8r5c12 = 8r5c7&r6c2 - r1c27 = (8,5)r12c6 - 5r2c123 = r1c2&r4c3 - (5=27)r4c1,r7c2 - (2|7=8)r5c2 => -8 r5c7,r6c2 ; ste

by **Cenoman** » Thu Jan 26, 2023 11:01 am

Code: Select all: +----------------------+-------------------+-----------------------+ | 1 ia2458* 9 | 36 24 ib58 |ja368* 46 7 | | g5678 h4578 d56 | 136 49 c58 | 2 1469 3489 | | 268 3 26 | 16 249 7 | 1689 5 489 | +----------------------+-------------------+-----------------------+ | f57 9 e15 | 8 6 2 | 13 147 34 | | 2678 278 4 | 9 3 1 | 6-8 267 5 | | 3 a28* 126 | 5 7 4 | a1689* 1269 a289* | +----------------------+-------------------+-----------------------+ | 259 25 3 | 7 8 6 | 4 29 1 | | 29 6 7 | 4 1 3 | 5 8 29 | | 4 1 8 | 2 5 9 | 7 3 6 | +----------------------+-------------------+-----------------------+

Almost Finned X-Wing:
[(8)r6c79 = r6c2 - r1c2 = r1c7] = r1c6 - (8=5)r2c6 - r2c3 = r4c3 - (5=7)r4c1 - r2c1 = (7-4)r2c2 = (45-8)r1c26 = (8)r1c7 => -8 r5c7; ste

by **SteveG48** » Thu Jan 26, 2023 11:53 pm

Nice. I think I'd call that a double finned X-wing with transport. It's fun the way the transport chain uses part of the wing.

by **P.O.** » Fri Jan 27, 2023 6:29 pm

thank you for your answers,my solution:

Code: Select all: 7r25c2 => r5c12 r6c89 <> 2 r2c2=7 - c2n4{r2 r1} - r1n5{c2 c6} - r1n8{c6 c7} - c9n8{r23 r6} - r6c2{n8 n2} r5c2=7 - r4c1{n7 n5} - 29r78c1 - r5n2{c1 c8} ste.

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