The New Sudoku Players' Forum

by **mith** » Tue Jun 15, 2021 3:44 pm

Code: Select all: +-------+-------+-------+ | . . . | . . . | . . . | | . . 8 | 7 . . | . . 6 | | . 5 . | . 9 . | . 4 . | +-------+-------+-------+ | . 3 . | . 4 . | . 9 . | | . . 6 | 2 . . | . . 8 | | . . . | . . . | . . . | +-------+-------+-------+ | . . . | . . . | 9 . . | | . . 7 | 8 . . | . . 2 | | . 4 . | . 3 . | . 5 . | +-------+-------+-------+ ...........87....6.5..9..4..3..4..9...62....8...............9....78....2.4..3..5.

by **pjb** » Wed Jun 16, 2021 12:50 am

I made very hard work of it. Surely there is something better!

3-3 MSLS at r258c258; Links: 2r2 7r5 6r8 19c2 15c5 13c8 => 25 eliminations
3-3 MSLS at r258c258; Links: 12r2 17r5 16r8 9c2 5c5 3c8 => 9 eliminations
4-4 MSLS at r3479 c3479 +r1c7 r6c7; Links: 3r3, 5r4, 345r7, 9r9, 12c3, 16c4, 12678c7, 17c9 => 20 eliminations
3-3 MSLS at r349c349; Links: 13r3 15r4 19r9 2c3 6c4 7c9 => 9 eliminations
ALS:(4=3)r1c3 - (3=4)r7c1234568 => -4 r1c4 (=> 62 singles)
Swordfish of 8s (r349\c167) => -8 r1c7, r6c6, r7c1
ALS: (6=8)r1256c2 - (8=6)r2678c5 => -6 r1c5 =>

Code: Select all: a1267 267 4 | 5 28 3 |b127 278 9 9 2-1 8 | 7 12 4 | 5 3 6 d27 5 3 | 16 9 e268 |d278 4 c17 ------------------------+----------------------+--------------------- g278 3 12 | 16 4 f678 | 267 9 5 4 h17 6 | 2 5 9 | 3 17 8 5 278 9 | 3 678 167 | 1267 267 4 ------------------------+----------------------+--------------------- 126 268 5 | 4 267 1267 | 9 678 3 3 9 7 | 8 16 5 | 4 16 2 268 4 12 | 9 3 267 | 678 5 17

(1)r1c1 = (1)r1c7 - (1=7)r3c9 - (7=2*8)r3c17 - (8)r3c6 = (8)r4c6 - (8|2*=7)r4c1 - (7=1)r5c2 => -1 r2c2; stte

Phil

by **Cenoman** » Wed Jun 16, 2021 8:58 am

Similar to Phil's.
To remain in simple steps, 1 AIC, 4 fishes, 4 wings:

Hidden Text: Show

1. (4)r6c9 = r7c9 - r8c7 = (4-9)r8c6 = r8c12 - r9c3 = (9)r6c3 => -4 r6c3; 9 placements & lcls

Hidden Text: Show

2. X-Wing (3)c39\r37 => -3 r3c1467, r7c18; 16 placements & lcls

Hidden Text: Show

3. SF (1)r258\c258 (*) => -1 r167c258
4. SF (1)c349\r349 (^) => -1 r349c167
5. SF (8)r349\c167 (#) => -8 r1c7, r6c6, r7c1

Hidden Text: Show

6. W-Wing: (2=1)r2c2 - r1c1 = r7c1 - (1=2)r9c3 => -2 r7c2
7. L2-Wing: (8)r6c2 = r6c5 - r1c5 = (8-2)r1c8 = (2)r6c8 => -2r6c2
8. W-Wing: (7=1)r3c9 - r1c7 = r6c7 - (1=7)r5c8 => -7 r1c8
9. L2-Wing: (8)r1c5 = r1c8 - r7c8 = (8-6)r7c2 = (6)r1c2 => -6 r1c5; ste

Website · by **denis_berthier** » Wed Jun 16, 2021 6:26 pm

.

Code: Select all: Resolution state after Singles and whips[1]: +-------------------------+-------------------------+-------------------------+ ! 123467 1267 1234 ! 13456 12568 1234568 ! 123578 12378 9 ! ! 12349 129 8 ! 7 125 12345 ! 1235 123 6 ! ! 12367 5 123 ! 136 9 12368 ! 12378 4 137 ! +-------------------------+-------------------------+-------------------------+ ! 12578 3 125 ! 156 4 15678 ! 1267 9 157 ! ! 14579 179 6 ! 2 157 13579 ! 1347 137 8 ! ! 1245789 12789 12459 ! 13569 15678 1356789 ! 123467 12367 13457 ! +-------------------------+-------------------------+-------------------------+ ! 123568 1268 1235 ! 1456 12567 124567 ! 9 13678 1347 ! ! 13569 169 7 ! 8 156 14569 ! 1346 136 2 ! ! 12689 4 129 ! 169 3 12679 ! 1678 5 17 ! +-------------------------+-------------------------+-------------------------+

Solution in 2 steps:
FORCING[3]-T&E applied to trivalue candidates n1r9c3, n2r9c3 and n9r9c3 :
===> 14 values decided in the three cases: n4r1c3 n4r2c6 n4r7c4 n4r8c7 n4r6c9 n5r4c9 n3r7c9 n3r8c1 n9r2c1 n4r5c1 n5r1c4 n5r2c7 n3r2c8 n3r5c7
===> 98 candidates eliminated in the three cases: n3r1c1 n4r1c1 n1r1c3 n2r1c3 n3r1c3 n1r1c4 n3r1c4 n4r1c4 n6r1c4 n5r1c5 n4r1c6 n5r1c6 n3r1c7 n5r1c7 n3r1c8 n1r2c1 n2r2c1 n3r2c1 n4r2c1 n9r2c2 n5r2c5 n1r2c6 n2r2c6 n3r2c6 n5r2c6 n1r2c7 n2r2c7 n3r2c7 n1r2c8 n2r2c8 n3r3c1 n3r3c6 n3r3c7 n3r3c9 n5r4c1 n5r4c3 n5r4c4 n5r4c6 n5r4c7 n1r4c9 n7r4c9 n1r5c1 n5r5c1 n7r5c1 n9r5c1 n1r5c6 n3r5c6 n7r5c6 n1r5c7 n4r5c7 n5r5c7 n7r5c7 n3r5c8 n4r6c1 n9r6c1 n9r6c2 n4r6c3 n1r6c4 n5r6c4 n6r6c4 n5r6c5 n5r6c6 n7r6c6 n8r6c6 n9r6c6 n3r6c7 n4r6c7 n5r6c7 n3r6c8 n1r6c9 n3r6c9 n5r6c9 n7r6c9 n3r7c1 n3r7c3 n1r7c4 n5r7c4 n6r7c4 n5r7c5 n4r7c6 n5r7c6 n3r7c8 n1r7c9 n4r7c9 n7r7c9 n1r8c1 n5r8c1 n6r8c1 n9r8c1 n1r8c6 n4r8c6 n6r8c6 n1r8c7 n3r8c7 n6r8c7 n3r8c8 n9r9c1 n9r9c6

Code: Select all: 1267 1267 4 5 1268 12368 1278 1278 9 9 12 8 7 12 4 5 3 6 1267 5 123 136 9 1268 1278 4 17 1278 3 12 16 4 1678 1267 9 5 4 179 6 2 157 59 3 17 8 12578 1278 1259 39 1678 136 1267 1267 4 12568 1268 125 4 1267 1267 9 1678 3 3 169 7 8 156 59 4 16 2 1268 4 129 169 3 1267 1678 5 17

11 Singles
FORCING[3]-T&E applied to trivalue candidates n7r4c1, n7r4c6 and n7r4c7 :
===> 6 values decided in the three cases: n7r9c9 n1r3c9 n2r9c6 n6r9c1 n2r6c8 n6r1c2
===> 51 candidates eliminated in the three cases: n2r1c1 n6r1c1 n7r1c1 n1r1c2 n2r1c2 n7r1c2 n6r1c5 n1r1c7 n8r1c7 n1r1c8 n2r1c8 n1r3c1 n6r3c1 n1r3c4 n1r3c6 n2r3c6 n1r3c7 n7r3c9 n1r4c1 n1r4c6 n6r4c6 n1r4c7 n2r4c7 n1r6c2 n2r6c2 n1r6c5 n6r6c5 n2r6c7 n7r6c7 n1r6c8 n6r6c8 n7r6c8 n6r7c1 n1r7c2 n6r7c2 n1r7c5 n2r7c5 n2r7c6 n6r7c6 n1r7c8 n7r7c8 n1r9c1 n2r9c1 n8r9c1 n2r9c3 n1r9c6 n6r9c6 n7r9c6 n6r9c7 n7r9c7 n1r9c9

Code: Select all: 1 6 4 5 128 3 27 78 9 9 12 8 7 12 4 5 3 6 27 5 3 6 9 68 278 4 1 278 3 12 16 4 78 67 9 5 4 17 6 2 5 9 3 17 8 5 78 9 3 78 16 16 2 4 128 28 5 4 67 17 9 68 3 3 9 7 8 16 5 4 16 2 6 4 1 9 3 2 18 5 7

stte

This can probably be reworded in terms of kites.

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