The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |5..|..1|..8|
 |.7.|9.2|.1.|
 |..3|.8.|9..|
 |---+---+---|
 |98.|...|.3.|
 |..2|...|5..|
 |.5.|...|.97|
 |---+---+---|
 |..9|.7.|2..|
 |.3.|2.4|.5.|
 |1..|8..|..4|
 *-----------*


Play/Print this puzzle online

[tlanglet]

Code: Select all

 *--------------------------------------------------------------------*
 | 5      9      46     | 3467   346    1      | 3467   2      8      |
 | 468    7      468    | 9      3456   2      | 346    1      356    |
 | 2      1      3      | 4567   8      567    | 9      467    56     |
 |----------------------+----------------------+----------------------|
 | 9      8      1467   | 14567  1456   567    | 146    3      2      |
 | 3467  e46     2      | 13467  13469  36789  | 5      468   d16     |
 | 346    5      146    | 1346   2      368    | 1468   9      7      |
 |----------------------+----------------------+----------------------|
 |*468  *f46     9      | 135    7      35     | 2      -68   c13     |
 |a-678   3     a-678   | 2      16     4      |b168    5      9      |
 | 1      2      5      | 8      369    369    | 367    67     4      |
 *--------------------------------------------------------------------*


ANS(46=8)r7c21-r8c13=(8-1)r8c7=r7c9-(1=6)r5c9-r5c2=6r7c2 => r7c8,r8c13<>6

Ted

[7b53]

lonely Ted...take your path for digit 8
(8=6)r8c13 - (6=1)r8c5 - r8c7 = r7c9 - (1=6)r5c9 - (6=4)r5c2 - (4=6)r7c2 - (6=8)r7c8 => r7c1, r8c7 <> 8
seems longer than yours...I won

a short one...
(6)r8c5 = (6)r5c9 - (6=4)r5c2 - (4=6)r7c2 => r8c13 <> 6
shorter than yours...I won again

[daj95376]

a short one...
(6)r8c5 = (6)r5c9 - (6=4)r5c2 - (4=6)r7c2 => r8c13 <> 6

I'm still trying to recreate your first strong inference using just <6>.

[7b53]

a short one...
(6)r8c5 = (6)r5c9 - (6=4)r5c2 - (4=6)r7c2 => r8c13 <> 6

I'm still trying to recreate your first strong inference using just <6>.

Code: Select all

 *--------------------------------------------------------------------*
 | 5      9      46     | 3467   346    1      | 3467   2      8      |
 | 468    7      468    | 9      3456   2      | 346    1      356    |
 | 2      1      3      | 4567   8      567    | 9      467    56     |
 |----------------------+----------------------+----------------------|
 | 9      8      1467   | 14567  1456   567    | 146    3      2      |
 | 3467  e46     2      | 13467  13469  36789  | 5      468   d16     |
 | 346    5      146    | 1346   2      368    | 1468   9      7      |
 |----------------------+----------------------+----------------------|
 |*468  *f46     9      | 135    7      35     | 2      -68   c13     |
 |a-678   3     a-678   | 2      16     4      |b168    5      9      |
 | 1      2      5      | 8      369    369    | 367    67     4      |
 *--------------------------------------------------------------------*

[(1)r8c5 and (1)r5c9] both cannot be true, so one of them must be (6).

this chain will mean the same then..
(6=1)r8c5 - (1)r8c7 = (1)r7c9 - (1=6)r5c9 - (6=4)r5c2 - (4=6)r7c2 => r8c13 <> 6
perhaps like Leren once said.. "I'm skipping a few steps" sorry !

[tlanglet]

lonely Ted...take your path for digit 8
(8=6)r8c13 - (6=1)r8c5 - r8c7 = r7c9 - (1=6)r5c9 - (6=4)r5c2 - (4=6)r7c2 - (6=8)r7c8 => r7c1, r8c7 <> 8
seems longer than yours...I won

a short one...
(6)r8c5 = (6)r5c9 - (6=4)r5c2 - (4=6)r7c2 => r8c13 <> 6
shorter than yours...I won again

One of the beauties about Sudoku is that everyone can win.

Ted