The New Sudoku Players' Forum

[shye]

Code: Select all

+-------+-------+-------+
| 3 . 9 | . 8 5 | . . . |
| . 6 . | . . . | . . . |
| 5 . 4 | . . . | . 3 . |
+-------+-------+-------+
| . . . | 6 . . | 9 . . |
| 7 . . | . 4 . | . 5 . |
| 9 . . | . . 2 | . . 1 |
+-------+-------+-------+
| . . . | 1 . . | . . 6 |
| . . 3 | . 5 . | . 4 . |
| . . . | . . 9 | 2 . . |
+-------+-------+-------+
3.9.85....6.......5.4....3....6..9..7...4..5.9....2..1...1....6..3.5..4......92..


i found a 10.5 tonight while flicking through yzf_sudoku's insanes, it had really cool core logic and i wanted to turn it into a less nasty puzzle so i surgically removed all the chains here for your solving pleasure
(its still pretty tough)

[Leren]

Code: Select all

*--------------------------------------------------------------------------------*
| 3      *127     9        |*247     8       5        |*1467   #126-7  *247      |
| 128     6       1278     | 347-2   12379   347-1    | 4578-1  12789   4578-29  |
| 5      *1278    4        |*27     #1269-7 *167      |*178     3      *2789     |
|--------------------------+--------------------------+--------------------------|
| 1248    3458-12 1258     | 6       137     378-1    | 9       278     3478-2   |
| 7      *1238   #126-8    | 9       4      *138      |*368     5      *238      |
| 9       348     68       | 5       37      2        | 3478-6  678     1        |
|--------------------------+--------------------------+--------------------------|
| 248     4578-29 2578     | 1       237     347      | 35      789     6        |
|#126-8  *12789   3        |*278     5      *67       |*178     4      *789      |
| 1468    4578-1  1578     | 3478    367     9        | 2       178     35       |
*--------------------------------------------------------------------------------*

Multifish : 14 Truths = { 126R1 1269R3 126R5 1269R8 } 14 Links = { 1c267 2c249 6c67 9c29 1n8 3n5 5n3 8n1 } ; 17 Eliminations as marked; btte

Leren

[pjb]

Alternatively, a 5x4 MSLS (despite differing logic, seems identical to Leren's multifish)

19 cell truths: r24679 c1358
19 links: 129r2, 12r4, 6r6, 29r7, 16r9, 48c1, 578c3, 37c5, 78c8
17 Eliminations: -2 r2c4, -1 r2c67, -29 r2c9, -12 r4c2, -1 r4c6, -2 r4c9, -6 r6c7, -29 r7c2, -1 r9c2, -8 r8c1, -8 r5c3, -7 r3c5, -7 r1c8; btte

Phil

[denis_berthier]

.
SER = 9.0

Code: Select all

Resolution state after Singles and whips[1]:
   +----------------------+----------------------+----------------------+
   ! 3      127    9      ! 247    8      5      ! 1467   1267   247    !
   ! 128    6      1278   ! 2347   12379  1347   ! 14578  12789  245789 !
   ! 5      1278   4      ! 27     12679  167    ! 178    3      2789   !
   +----------------------+----------------------+----------------------+
   ! 1248   123458 1258   ! 6      137    1378   ! 9      278    23478  !
   ! 7      1238   1268   ! 9      4      138    ! 368    5      238    !
   ! 9      348    68     ! 5      37     2      ! 34678  678    1      !
   +----------------------+----------------------+----------------------+
   ! 248    245789 2578   ! 1      237    347    ! 3578   789    6      !
   ! 1268   12789  3      ! 278    5      67     ! 178    4      789    !
   ! 1468   14578  1578   ! 3478   367    9      ! 2      178    3578   !
   +----------------------+----------------------+----------------------+
208 candidates.

Solved in W7, with the simplest-first strategy:

Code: Select all

hidden-pairs-in-a-block: b9{n3 n5}{r7c7 r9c9} ==> r9c9 ≠ 8, r9c9 ≠ 7, r7c7 ≠ 8, r7c7 ≠ 7
z-chain[3]: c5n6{r3 r9} - r8c6{n6 n7} - b5n7{r4c6 .} ==> r3c5 ≠ 7
z-chain[3]: r6c5{n7 n3} - r9c5{n3 n6} - r8c6{n6 .} ==> r7c5 ≠ 7
biv-chain[4]: r8c6{n7 n6} - b2n6{r3c6 r3c5} - r3n9{c5 c9} - r8n9{c9 c2} ==> r8c2 ≠ 7
z-chain[4]: c5n9{r2 r3} - c5n6{r3 r9} - r8c6{n6 n7} - b5n7{r4c6 .} ==> r2c5 ≠ 7
z-chain[5]: c1n6{r8 r9} - c5n6{r9 r3} - c5n9{r3 r2} - c8n9{r2 r7} - r7n8{c8 .} ==> r8c1 ≠ 8
whip[5]: r8n9{c2 c9} - r3n9{c9 c5} - r3n6{c5 c6} - r3n1{c6 c7} - r1n1{c7 .} ==> r8c2 ≠ 1
whip[7]: c1n6{r8 r9} - c5n6{r9 r3} - c5n9{r3 r2} - c5n2{r2 r7} - r8n2{c4 c2} - c2n9{r8 r7} - c8n9{r7 .} ==> r8c1 ≠ 1
hidden-single-in-a-row ==> r8c7 = 1
t-whip[4]: r7n8{c3 c8} - r9c8{n8 n7} - r6c8{n7 n6} - r6c3{n6 .} ==> r9c3 ≠ 8
z-chain[5]: b3n1{r2c8 r1c8} - c8n6{r1 r6} - c3n6{r6 r5} - r5n1{c3 c2} - r3n1{c2 .} ==> r2c6 ≠ 1
hidden-triplets-in-a-block: b2{n1 n6 n9}{r2c5 r3c6 r3c5} ==> r3c6 ≠ 7, r3c5 ≠ 2, r2c5 ≠ 3, r2c5 ≠ 2
hidden-single-in-a-column ==> r7c5 = 2
biv-chain[3]: r7c1{n8 n4} - b8n4{r7c6 r9c4} - b8n8{r9c4 r8c4} ==> r8c2 ≠ 8
biv-chain[3]: c6n4{r2 r7} - r7n3{c6 c7} - c7n5{r7 r2} ==> r2c7 ≠ 4
z-chain[3]: r1n6{c8 c7} - c7n4{r1 r6} - c7n7{r6 .} ==> r1c8 ≠ 7
z-chain[4]: b3n1{r2c8 r1c8} - r1n6{c8 c7} - c7n4{r1 r6} - c7n7{r6 .} ==> r2c8 ≠ 7
biv-chain[5]: r3n9{c9 c5} - b2n6{r3c5 r3c6} - r8n6{c6 c1} - b7n2{r8c1 r8c2} - r8n9{c2 c9} ==> r2c9 ≠ 9
biv-chain[5]: r3c6{n1 n6} - r8n6{c6 c1} - r8n2{c1 c2} - r8n9{c2 c9} - r3n9{c9 c5} ==> r3c5 ≠ 1
finned-x-wing-in-rows: n1{r3 r5}{c6 c2} ==> r4c2 ≠ 1
z-chain[5]: b3n9{r2c8 r3c9} - r3c5{n9 n6} - r9n6{c5 c1} - c1n1{r9 r4} - c5n1{r4 .} ==> r2c8 ≠ 1
singles ==> r1c8 = 1, r1c7 = 6, r6c7 = 4, r6c8 = 6, r6c3 = 8, r6c2 = 3, r6c5 = 7, r5c3 = 6
whip[1]: c7n7{r3 .} ==> r1c9 ≠ 7, r2c9 ≠ 7, r3c9 ≠ 7
x-wing-in-rows: n1{r3 r5}{c2 c6} ==> r9c2 ≠ 1, r4c6 ≠ 1
x-wing-in-columns: n2{c3 c8}{r2 r4} ==> r4c9 ≠ 2, r4c2 ≠ 2, r4c1 ≠ 2, r2c9 ≠ 2, r2c4 ≠ 2, r2c1 ≠ 2
stte