The New Sudoku Players' Forum

[shye]

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+-------------------+
| . 9 4 7 6 5 . 8 . |
| 8 . 2 . . . . . 7 |
| 7 6 . 3 2 . . . . |
| 6 . 3 . 5 9 . . 8 |
| 5 . 7 6 . . 2 . . |
| 4 . . 8 . . 5 3 . |
| . . . . 1 7 . 9 5 |
| 9 . . . . 3 8 . . |
| . 5 . 9 . . 4 . 6 |
+-------------------+
.94765.8.8.2.....776.32....6.3.59..85.76..2..4..8..53.....17.959....38...5.9..4.6

estimated rating: 7.2
i was initially going to post this to the variants board but it seems not much people post solutions to the puzzles that end up there, and if you think about it, sudoku is a latin square variant anyway
if people do not want to see latin squares posted here i will refrain from doing so in the future

[denis_berthier]

.
Hi Shye
I think it'd be better to keep this part of the forum for sudoku, as it has always been.

In Latin Squares, there are no whips[1].

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Resolution state after Singles:
123    9      4      7      6      5      13     8      123   
8      134    2      145    349    146    1369   1456   7     
7      6      1589   3      2      148    19     145    149   
6      124    3      124    5      9      7      124    8     
5      1348   7      6      3489   148    2      14     1349   
4      127    169    8      79     126    5      3      129   
23     2348   68     24     1      7      36     9      5     
9      1247   156    1245   47     3      8      124567 124   
123    5      18     9      378    128    4      127    6 

The simplest-first-strategy gives a solution in two elementary steps:
biv-chain[4]: c9n3{r1 r5} - r5n9{c9 c5} - c5n8{r5 r9} - r9n3{c5 c1} ==> r1c1≠3
biv-chain[3]: r1n3{c7 c9} - r1n2{c9 c1} - r7c1{n2 n3} ==> r7c7≠3
stte

[shye]

Hi Shye
I think it'd be better to keep this part of the forum for sudoku, as it has always been.

i had a feeling, noted!

biv-chain[4]: c9n3{r1 r5} - r5n9{c9 c5} - c5n8{r5 r9} - r9n3{c5 c1} ==> r1c1≠3
biv-chain[3]: r1n3{c7 c9} - r1n2{c9 c1} - r7c1{n2 n3} ==> r7c7≠3

this is exactly what i had in mind

[jco]

After (+7 r4c7):

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+-----------------------------------------------------------------+
|F(1)3-2  9      4      7      6      5      13     8      123    |
|  8      134    2      145    349    146    1369   1456   7      |
|  7      6      1589   3      2      148    19     145    149    |
|  6      124    3      124    5      9      7      124    8      |
|  5      1348   7      6      3489   148    2      14     1349   |
|  4      127    169    8      79     126    5      3      129    |
|A(23)    2348 C(68)    24     1      7    B(36)    9      5      |
|  9      1247   156    1245   47     3      8      124567 124    |
|E(1)23   5    D(18)    9      378    128    4      127    6      |
+-----------------------------------------------------------------+

(2=3)r7c1 - (3=6)r7c7 - (6=8)r7c3 - (8=1)r9c3 - (1)r9c1 = (1)r1c1 => -2 r1c1; ste