The New Sudoku Players' Forum

by **Yogi** » Fri Sep 17, 2021 12:42 am

.....87..2...1....1.4.........26.3...5....6..8.........3.6........4...2........1.

Code: Select all: +---+---+---+ |...|..8|7..| |2..|.1.|...| |1.4|...|...| +---+---+---+ |...|26.|3..| |.5.|...|6..| |8..|...|...| +---+---+---+ |.3.|6..|...| |...|4..|.2.| |...|...|.1.| +---+---+---+

by **shye** » Fri Sep 17, 2021 1:03 am

Code: Select all: .----------------------.------------------.-------------------. | 3569 69 3569 | 359 2 8 | 7 4 1 | | 2 789 35789 | 3579 1 4 | 589 6 589 | | 1 789 4 | 579 579 6 | 2 3 589 | :----------------------+------------------+-------------------: | 479 #1479 #179 | 2 6 579 | 3 5789 45789 | | 3479 5 2379 | 1 8 379 | 6 79 2479 | | 8 2679 23679 | 579 4 3579 | 1 579 2579 | :----------------------+------------------+-------------------: | 459 3 #12 | 6 59 12 | 4589 5789 5789 | | 5679 16789 156789 | 4 3579 1579 | 59 2 36 | | 45679 #4679-2 25679 | 8 3579 2579 | 459 1 36 | '----------------------'------------------'-------------------'

(2=1)r7c3 - 1r4c3 = (1-4)r4c2 = 4r9c2
=> -2r9c2 stte

by **Leren** » Fri Sep 17, 2021 3:26 am

Code: Select all: *----------------------------------------------------------* | 3569 69 3569 | 359 2 8 | 7 4 1 | | 2 789 35789 | 3579 1 4 | 589 6 589 | | 1 789 4 | 579 579 6 | 2 3 589 | |----------------------+----------------+------------------| | 479 f179-4 e179 | 2 6 579 | 3 5789 a45789 | | 3479 5 c2379 | 1 8 379 | 6 79 b2479 | | 8 2679 23679 | 579 4 3579 | 1 579 2579 | |----------------------+----------------+------------------| | 459 3 d12 | 6 59 12 | 4589 5789 5789 | | 5679 16789 156789 | 4 3579 1579 | 59 2 36 | | 45679 24679 25679 | 8 3579 2579 | 459 1 36 | *----------------------------------------------------------*

(4) r4c9 = (4-2) r5c9 = r5c3 - (2=1) r7c3 - r4c3 = (1) r4c2 => - 4 r4c2; stte

Leren

Website · by **denis_berthier** » Fri Sep 17, 2021 4:53 am

.

Code: Select all: Resolution state after Singles and whips[1]: +----------------------+----------------------+----------------------+ ! 3569 69 3569 ! 359 2 8 ! 7 4 1 ! ! 2 789 35789 ! 3579 1 4 ! 589 6 589 ! ! 1 789 4 ! 579 579 6 ! 2 3 589 ! +----------------------+----------------------+----------------------+ ! 479 1479 179 ! 2 6 579 ! 3 5789 45789 ! ! 3479 5 2379 ! 1 8 379 ! 6 79 2479 ! ! 8 2679 23679 ! 579 4 3579 ! 1 579 2579 ! +----------------------+----------------------+----------------------+ ! 4579 3 125789 ! 6 579 12579 ! 4589 5789 5789 ! ! 5679 16789 156789 ! 4 3579 1579 ! 589 2 356789 ! ! 45679 24679 25679 ! 8 3579 2579 ! 459 1 35679 ! +----------------------+----------------------+----------------------+

Simplest-first solution:

Code: Select all: hidden-pairs-in-a-column: c9{n3 n6}{r8 r9} ==> r9c9≠9, r9c9≠7, r9c9≠5, r8c9≠9, r8c9≠8, r8c9≠7, r8c9≠5 whip[1]: b9n7{r7c9 .} ==> r7c1≠7, r7c3≠7, r7c5≠7, r7c6≠7 hidden-pairs-in-a-row: r7{n1 n2}{c3 c6} ==> r7c6≠9, r7c6≠5, r7c3≠9, r7c3≠8, r7c3≠5 whip[1]: r7n8{c9 .} ==> r8c7≠8 biv-chain[3]: c2n4{r9 r4} - b4n1{r4c2 r4c3} - r7c3{n1 n2} ==> r9c2≠2 stte

which is 1-step for people who don't count Subsets as steps.

by **P.O.** » Fri Sep 17, 2021 5:12 pm

Code: Select all: after singles and intersections: 3569 69 3569 359 2 8 7 4 1 2 789 35789 3579 1 4 589 6 589 1 789 4 579 579 6 2 3 589 479 a-1×479 179 2 6 579 3 5789 45789 h3+479 5 f-2379 1 8 379 6 79 g+2479 8 2679 23679 579 4 3579 1 579 2579 4579 3 e1+25789 6 579 d+12579 4589 5789 5789 5679 b+16789 156789 4 3579 c-1579 589 2 356789 45679 24679 25679 8 3579 2579 459 1 35679 depth: 4 candidate: 4 from start ((1 0) (4 2 4) (1 4 7 9)) ((1 0) (8 2 7) (1 6 7 8 9)) ((1 1 1) (7 6 8) (1 2 5 7 9)) ((2 2 10) (7 3 7) (1 2 5 7 8 9)) ((2 3 1) (5 9 6) (2 4 7 9)) ((4 4 10) (5 1 4) (3 4 7 9)) singles: ( r2c4b2 n3 r1c2b1 n6 r4c6b5 n5 r1c1b1 n3 r5c3b4 n3 r4c8b6 n8 r5c1b4 n4 r4c9b6 n4 r6c6b5 n3 r5c9b6 n2 r6c3b4 n6 r7c7b9 n4 r6c2b4 n2 r9c2b7 n4 ) 3 6 59 59 2 8 7 4 1 2 789 5789 3 1 4 589 6 d5-89 1 789 4 579 579 6 2 3 d5-89 79 179 179 2 6 5 3 8 4 4 5 3 1 8 a-79 6 ×79 2 8 2 6 ×79 4 3 1 579 d-5+7-9 c579 3 125789 6 c5-79 b12*79 4 c579 c-5-7+8-9 5679 1789 15789 4 3579 b1*79 589 2 356789 5679 4 2579 8 3579 b2*79 59 1 35679 depth: 2 candidate: 7 from cells (((5 8 6) (7 9)) ((6 4 5) (7 9))) ((7 0) (5 6 5) (7 9)) ((7 0 2 0) ((7 6 8) (1 2 7 9)) ((8 6 8) (1 7 9)) ((9 6 8) (2 7 9))) ((8 1 161) (7 9 9) (5 7 8 9)) ((7 2 112) (6 9 6) (5 7 9)) ste.

by **RSW** » Fri Sep 24, 2021 9:54 pm

Code: Select all: +---------------------+----------------+-----------------+ | 3569 69 3569 | 359 2 8 | 7 4 1 | | 2 789 35789 | 3579 1 4 | 589 6 589 | | 1 789 4 | 579 579 6 | 2 3 589 | +---------------------+----------------+-----------------+ | 479 c1479 d179 | 2 6 579 | 3 5789 45789 | | 3479 5 *379-2 | 1 8 379 | 6 79 2479 | | 8 a2679 23679 | 579 4 3579 | 1 579 2579 | +---------------------+----------------+-----------------+ | 459 3 e12 | 6 59 12 | 4589 5789 5789 | | 5679 16789 156789 | 4 3579 1579 | 59 2 36 | | 45679 b24679 25679 | 8 3579 2579 | 459 1 36 | +---------------------+----------------+-----------------+

(2)r6c2 = (2-4)r9c2 = (4-1)r4c2 = (1)r4c3 - (1=2)r7c3 => -2r5c3; stte

17September21