The New Sudoku Players' Forum

[storm_norm]

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400100809000030040800000601003401008070000050900503400709000005060040000308009004

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4 . .|1 . .|8 . 9
. . .|. 3 .|. 4 .
8 . .|. . .|6 . 1
-----+-----+-----
. . 3|4 . 1|. . 8
. 7 .|. . .|. 5 .
9 . .|5 . 3|4 . .
-----+-----+-----
7 . 9|. . .|. . 5
. 6 .|. 4 .|. . .
3 . 8|. . 9|. . 4

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.---------------------.---------------------.---------------------.
| 4      235    2567  | 1      256    2567  | 8      237    9     |
| 126    129    1267  | 26789  3      2678  | 5      4      27    |
| 8      2359   257   | 279    259    4     | 6      237    1     |
:---------------------+---------------------+---------------------:
| 256    25     3     | 4      2679   1     | 279    279    8     |
| 126    7      4     | 2689   2689   268   | 1239   5      236   |
| 9      8      126   | 5      267    3     | 4      127    267   |
:---------------------+---------------------+---------------------:
| 7      4      9     | 2368   1268   268   | 123    1268   5     |
| 125    6      125   | 2378   4      2578  | 12379  12789  237   |
| 3      125    8     | 267    1256   9     | 127    1267   4     |
'---------------------'---------------------'---------------------'

this is a puzzle for ttt

but anyone is welcome to take a hack at it.

[ttt]

this is a puzzle for ttt

Why me? I use NL notation too bad then I only present by Eureka!/AIC notation.

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*-----------*
 |4..|1..|8.9|
 |...|.3.|.4.|
 |8..|...|6.1|
 |---+---+---|
 |..3|4.1|..8|
 |.7.|...|.5.|
 |9..|5.3|4..|
 |---+---+---|
 |7.9|...|..5|
 |.6.|.4.|...|
 |3.8|..9|..4|
 *-----------*
 After basic SSTS
 *--------------------------------------------------------------------*
 | 4      235    2567   | 1      256    2567   | 8      237    9      |
 | 126    129    1267   | 26789  3      2678   | 5      4      27     |
 | 8      2359   257    | 279    259    4      | 6      237    1      |
 |----------------------+----------------------+----------------------|
 | 256    25     3      | 4      2679   1      | 279    279    8      |
 | 126    7      4      | 2689   2689   268    | 1239   5      236    |
 | 9      8      126    | 5      267    3      | 4      127    267    |
 |----------------------+----------------------+----------------------|
 | 7      4      9      | 2368   1268   268    | 123    1268   5      |
 | 125    6      125    | 2378   4      2578   | 12379  12789  237    |
 | 3      125    8      | 267    1256   9      | 127    1267   4      |
 *--------------------------------------------------------------------*

01: (hp57)r18c6=(7-8)r2c6=(8-9)r2c4=(9-1)r2c2=(1-5)r9c2=(5)r9c5-(5)r8c6=(5)r1c6 => r1c6<>26
02: (8)r5c5=(8-1)r7c5=(1-5)r9c5=(5-1)r9c2=(1-9)r2c2=(9-8)r2c4=(8)r2c6 => r5c6<>8
03: (8)r2c6=(8-9)r2c4=(9-1)r2c2=(1)r9c2-(1)r8c13=(hp19-8)r8c78=(8)r7c8-(8=hp26)r57c6 => r2c6<>26
04: (5)r9c5=(5-1)r9c2=(1-9)r2c2=(9-6)r2c4=(6)r1c5-(6)r4c5=(6-5)r4c1=(5)r8c1 => r8c6<>5, some singles
05: 6’s r4c1=r4c5-r1c5=r1c3 => r2c1<>6
06: (7=hp29)r3c45-(2=6)r1c5-(6)r4c5=(6-5)r4c1=(5)r4c2-(5)r3c2=(5)r3c3 => r3c3<>7
07: (1)r5c7=(1)r5c1-(1)r2c1=(1-9)r2c2=(9)r2c4-(9)r5c4=(9)r5c7 => loop => r5c7<>23, r8c1<>1, r3c4<>9, some singles
08: X-wing 7’s r28c69 => r2c34, r8c478<>7, some singles
09: (hp19)r8c=(1)r8c3-(1)r6c3=(1)r5c1-(1=9)r5c7-(9)r8c7=(9)r8c8 => r8c8<>28, some singles
10: 2’s r5c1=r5c6-r7c6=r7c7-r8c9=r2c9 => r2c1<>2, singles to the end

Edit: I studied more and see that step 1 is not necessary, step 3 can eliminate r7c6=8 => pair (26)r57c6

ttt

[storm_norm]

Why me?

why not? you show an affinity for tackling these monsters. I provided a challenge.

[DonM]

Why me?

why not? you show an affinity for tackling these monsters. I provided a challenge.

I always thought that the idea of a puzzle game was to challenge oneself.

[daj95376]

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 after basics and ER for [r1c2]<>5
 +-----------------------------------------------------------------------+
 |  4      23     2567   |  1      256    2567   |  8      237    9      |
 |  126    129    1267   |  26789  3      2678   |  5      4      27     |
 |  8      2359   257    |  279    259    4      |  6      237    1      |
 |-----------------------+-----------------------+-----------------------|
 |  256    25     3      |  4      2679   1      |  279    279    8      |
 |  126    7      4      |  2689   2689   268    |  1239   5      236    |
 |  9      8      126    |  5      267    3      |  4      127    267    |
 |-----------------------+-----------------------+-----------------------|
 |  7      4      9      |  2368   1268   268    |  123    1268   5      |
 |  125    6      125    |  2378   4      2578   |  12379  12789  237    |
 |  3      125    8      |  267    1256   9      |  127    1267   4      |
 +-----------------------------------------------------------------------+
 # 115 eliminations remain


This puzzle has an Achilles Heel, but it's not an easy one.

There are 3x long SINs, one each for, [r2c4]<>267. These I have!

Then it gets sticky for [r2c4]<>9. My old solver says there's a forcing net that uses n-tuples, but I haven't been able to track it down. Assistance anyone???

Anyway, [r2c4]=8 cracks the puzzle.

[storm_norm]

I always thought that the idea of a puzzle game was to challenge oneself.

that is deep.
this can be taken further.
we know that a puzzle is meant to challenge. but that isn't all a puzzle does. oh no.
sure, the goal is to solve the puzzle. but I believe that the underlying true goal is to gain the experience and knowledge through the process.

{puzzle/challenge} => experiences/knowledge gained

the true goal is the experience/knowledge... the puzzle now becomes a doorway.