## this puzzle is weird to me..

Post the puzzle or solving technique that's causing you trouble and someone will help

### From sudopedia

This puzzle is teasing me
8..15...3.5.8..14..91..68.5.3861259..1.....82.79....1....3..45114.5.7..8.85.417..
Why? It has no solution. I found it on sudopedia webpage for doubly linked ALS XZ example. Sorry i m using a cellphone so i can't paste the puzzle here. Hope some1 wud check what's wrong.
sarker306

Posts: 16
Joined: 06 March 2009

### From sudopedia

This puzzle is teasing me
2.3...6.99...5...3.1.....5...........6.8.7.9.5.......4.9.....7.62..4..351...9...8
it was the one trick pony of sudocue.net on 02.28.2009. What is the trick and when n where to apply? Funny i m asking such questions but i m not so advanced....
sarker306

Posts: 16
Joined: 06 March 2009

### Re: From sudopedia

sarker306 wrote:This puzzle is teasing me
8..15...3.5.8..14..91..68.5.3861259..1.....82.79....1....3..45114.5.7..8.85.417..
Why? It has no solution. I found it on sudopedia webpage for doubly linked ALS XZ example. Sorry i m using a cellphone so i can't paste the puzzle here. Hope some1 wud check what's wrong.

You are correct. Whoever placed this example in Sudopedia made a mistake.

Code: Select all
` +--------------------------------------------------------------+ |  8     67    2467  |  1     5     49    |  269   267   3     | |  2367  5     2367  |  8     2379  39    |  1     4     69    | |  2347  9     1     |  247   237   6     |  8     27    5     | |--------------------+--------------------+--------------------| |  47    3     8     |  6     1     2     |  5     9     47    | |  4567  1     467   |  479   379   3459  |  36    8     2     | |  56    7     9     |  47    38    358   |  36    1     47    | |--------------------+--------------------+--------------------| |  2679  67    267   |  3     2689  89    |  4     5     1     | |  1     4     236   |  5     269   7     |  2369  236   8     | |  2369  8     5     |  29    4     1     |  7     236   69    | +--------------------------------------------------------------+ # 76 eliminations remain *** Invalid Grid:  [b4]~2`

[r6c2]=7 appears to be where the error occurred. Try [r6c2]=2.
daj95376
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### Re: From sudopedia

sarker306 wrote:This puzzle is teasing me
2.3...6.99...5...3.1.....5...........6.8.7.9.5.......4.9.....7.62..4..351...9...8
it was the one trick pony of sudocue.net on 02.28.2009. What is the trick and when n where to apply? Funny i m asking such questions but i m not so advanced....

If you don't want to ressort to chains I think you will need an X-Wing on candidate 4. After that a W-Wing (look for two cells containing candidates {1,2}) solves the puzzle.

Another possibility is the same X-Wing on 4, after that an X-Wing on 7 and a 2-String-Kite on 2.
hobiwan
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Posts: 321
Joined: 16 January 2008
Location: Klagenfurt

Hobiwan: I believe sarker306 is asking what one step will crack this PM to singles; i.e., the one trick pony.

Code: Select all
` *--------------------------------------------------------------------* | 2      5      3      | 14     7      8      | 6      14     9      | | 9      478    467    | 1246   5      246    | 12478  124    3      | | 78     1      467    | 39     26     39     | 2478   5      27     | |----------------------+----------------------+----------------------| | 78     378    9      | 45     12     45     | 1237   126    1267   | | 4      6      12     | 8      3      7      | 5      9      12     | | 5      37     12     | 269    126    269    | 37     8      4      | |----------------------+----------------------+----------------------| | 3      9      45     | 256    8      256    | 124    7      126    | | 6      2      8      | 7      4      1      | 9      3      5      | | 1      47     457    | 2356   9      2356   | 24     246    8      | *--------------------------------------------------------------------*`
daj95376
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daj95376 wrote:Hobiwan: I believe sarker306 is asking what one step will crack this PM to singles; i.e., the one trick pony

I thought so I just wasn't able to find it
I am not sure whether X-Wings count as advanced steps or not.
hobiwan
2012 Supporter

Posts: 321
Joined: 16 January 2008
Location: Klagenfurt

### Re: From sudopedia

hobiwan wrote:
sarker306 wrote:This puzzle is teasing me
2.3...6.99...5...3.1.....5...........6.8.7.9.5.......4.9.....7.62..4..351...9...8
it was the one trick pony of sudocue.net on 02.28.2009. What is the trick and when n where to apply? Funny i m asking such questions but i m not so advanced....

If you don't want to ressort to chains I think you will need an X-Wing on candidate 4. After that a W-Wing (look for two cells containing candidates {1,2}) solves the puzzle.

Another possibility is the same X-Wing on 4, after that an X-Wing on 7 and a 2-String-Kite on 2.

I think you're good. An X-wing is a simple technique by the criteria of SSTS. In fact, the puzzle solves with SSTS, so it's hard to know what to define as the equestrian move.

Luke
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Joined: 06 August 2006
Location: Southern Northern California

hobiwan wrote:
daj95376 wrote:Hobiwan: I believe sarker306 is asking what one step will crack this PM to singles; i.e., the one trick pony

I thought so I just wasn't able to find it
I am not sure whether X-Wings count as advanced steps or not.

I stand corrected. The X-Wing is allowed under this constraint for a One Trick Pony.

SudoCue wrote:All but one solving steps are limited to singles, locked candidates, subsets, basic fish, UR 1 and BUG.

That said, then the PM is further reduced to ...

Code: Select all
` *-----------------------------------------------------------* | 2     5     3     | 14    7     8     | 6     14    9     | | 9     478   67    | 1246  5     246   | 178   124   3     | | 78    1     46    | 39    26    39    | 48    5     27    | |-------------------+-------------------+-------------------| | 78    38    9     | 45    12    45    | 13    126   1267  | | 4     6     12    | 8     3     7     | 5     9     12    | | 5     37    12    | 269   126   269   | 37    8     4     | |-------------------+-------------------+-------------------| | 3     9     45    | 256   8     256   | 14    7     16    | | 6     2     8     | 7     4     1     | 9     3     5     | | 1     47    57    | 356   9     356   | 2     46    8     | *-----------------------------------------------------------*`

... and it has a trivial final step before Singles.
daj95376
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Joined: 15 May 2006

This is a nightmare.
.....31.42.61......1.7......2....9...754.682...9....6......4.5......23.95.38.....
I solved it using a forcenet to show r2c7=5, xwing on 1, color on 3, naked quad in r4 and forcechain to show r4c8<>4.
But i want somewhat simple technique. Did i miss sth?
sarker306

Posts: 16
Joined: 06 March 2009

sarker306 wrote:This is a nightmare.
.....31.42.61......1.7......2....9...754.682...9....6......4.5......23.95.38.....
I solved it using a forcenet to show r2c7=5, xwing on 1, color on 3, naked quad in r4 and forcechain to show r4c8<>4.
But i want somewhat simple technique. Did i miss sth?

You didn't mention Hidden Pair, XYZ-Wing, or UR Type 1.

Code: Select all
` r1      Naked  Triple                   <> 789  [r1c245] r1  b2  Naked  Pair                     <> 26   [r3c5] r8  b7  Locked Candidate 1              <> 4    [r8c8] r1  b1  Locked Candidate 1              <> 7    [r1c8] r3  b3  Hidden Pair                     =  26   [r3c79] r2  b3  Locked Candidate 1              <> 5    [r2c56] r57     X-Wing                          <> 1    [r68c1],[r469c9] r6  b5  Locked Candidate 2              <> 1    [r4c56] r4      Naked  Quad                     <> 3578 [r4c38]   c9b6  Locked Candidate 1              <> 3    [r2c9] r6  b4  Locked Candidate 1              <> 8    [r6c56]         XYZ-Wing [r9c9]/[r3c9]+[r7c7]   <> 6    [r7c9]   c9    Hidden Pair                     =  26   [r39c9]         UR Type 1 [r39c79]              <> 26   [r9c7]`
daj95376
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Or UR Type 3:

Code: Select all
`   Singles   Locked Candidates Type 1 (Pointing): 7 in b1 => r1c8<>7   Locked Candidates Type 1 (Pointing): 2 in b3 => r3c5<>2   Locked Candidates Type 1 (Pointing): 6 in b3 => r3c5<>6   Naked Triple: 7,8,9 in r1c138 => r1c25<>8, r1c24<>9   Singles   Locked Candidates Type 1 (Pointing): 4 in b7 => r8c8<>4   Hidden Pair: 2,6 in r3c79 => r3c79<>5, r3c9<>3, r3c9<>8   Locked Candidates Type 1 (Pointing): 5 in b3 => r2c56<>5   X-Wing: 1 r57 c19 => r469c9,r68c1<>1   Locked Candidates Type 2 (Claiming): 1 in r6 => r4c56<>1   Hidden Pair: 1,4 in r4c38 => r4c3<>8, r4c8<>3, r4c8<>7   Locked Candidates Type 1 (Pointing): 8 in b4 => r6c56<>8   Locked Candidates Type 1 (Pointing): 3 in b6 => r2c9<>3   .-----------------.-----------------.--------------------.   | 789   5    78   | 26    26    3   |  1     89     4    |   | 2     348  6    | 1     48    89  |  57    3789   578  |   | 3489  1    48   | 7     458   589 | *26    389   *26   |   :-----------------+-----------------+--------------------:   | 6     2    14   | 35    578   578 |  9     14     357  |   | 13    7    5    | 4     9     6   |  8     2      13   |   | 348   348  9    | 235   1257  157 |  457   6      357  |   :-----------------+-----------------+--------------------:   | 178   68   2    | 9     3     4   |  67    5      1678 |   | 478   468  1478 | 56    1567  2   |  3     178    9    |   | 5     9    3    | 8    -16-7  17  | *2467  147   *267  |   '-----------------'-----------------'--------------------'   Uniqueness Test 3: 2/6 in r3c79,r9c79 => r9c5<>1, r9c5<>7   Singles`
hobiwan
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sarker306 wrote:This is a nightmare
Its nice without pencilmarks. After singles and the hidden pair 26 in row 1 (see below) you are here:
Code: Select all
`+-------+-------+-------+| . 5 . | . . 3 | 1 . 4 | | 2 . 6 | 1 . . | . . . | | . 1 . | 7 . . | x . x | +-------+-------+-------+| 6 2 . | . . . | 9 . . | | . 7 5 | 4 9 6 | 8 2 . | | . . 9 | . . . | . 6 . | +-------+-------+-------+| . . 2 | 9 3 4 | . 5 . | | . . . | . . 2 | 3 . 9 | | 5 9 3 | 8 . . | x . x | +-------+-------+-------+`

Note the 2 and 6 in row 2 and column 8, which give you a hidden pair 26 in r1c45 and r3c79.
To avoid a deadly pattern 26 in r39c79 you need a 2 or 6 elsewhere in row 9. The only possibility is a 6 in r9c5.
eleven

Posts: 1946
Joined: 10 February 2008

Code: Select all
`.------------------.------------------.------------------.| 18    3     2    | 4     5     9    | 7     6     18   || 89    4     5    | 6     7     1    | 3     29    289  || 179   179   6    | 28    3     28   | 4     5     19   |:------------------+------------------+------------------:| 157   1578  4    | 389   2     358  | 89    79    6    || 256   258   9    | 7     1     4568 | 28    24    3    || 267   278   3    | 89    4689  468  | 1     2479  5    |:------------------+------------------+------------------:| 259   259   1    | 239   49    234  | 6     8     7    || 3     269   8    | 5     69    7    | 29    1     4    || 4     269   7    | 1     689   268  | 5     3     29   |'------------------'------------------'------------------'`

This is the sudoku I am now working on. If i disable 3d medusa in sudocue, it offers me a tabling.
I wish some1 will help me find out some loops or chains or even easier to locate patterns.
sarker306

Posts: 16
Joined: 06 March 2009

You need to find easier puzzles!

Code: Select all
` +--------------------------------------------------------------+ |  18    3     2     |  4     5     9     |  7     6     18    | |  89    4     5     |  6     7     1     |  3     29    289   | |  179   179   6     |  28    3     28    |  4     5     19    | |--------------------+--------------------+--------------------| |  157   1578  4     |  389   2     358   |  89    79    6     | |  256   258   9     |  7     1     4568  |  28    24    3     | |  267   278   3     |  89    4689  468   |  1     2479  5     | |--------------------+--------------------+--------------------| |  259   259   1     |  239   49    234   |  6     8     7     | |  3     269   8     |  5     69    7     |  29    1     4     | |  4     269   7     |  1     689   268   |  5     3     29    | +--------------------------------------------------------------+ # 66 eliminations remain`

Code: Select all
`(6)r9c2=(6-2)r8c2=(2-9)r8c7=(9)r9c9                                   => [r9c2]<>9(1)r4c2=(1)r3c2-(1=9)r3c9-(9)r9c9=(9)r8c7-(9=8)r4c7                   => [r4c2]<>8(8)r6c2=(8)r5c2-(8=2)r5c7-(2=9)r8c7-(9)r9c9=(9-8)r9c5=(8)r6c5-(8)r6c2 => [r5c6],[r6c46]<>8(2)r8c2=(2)r8c7-(2=8)r4c7-(8)r5c2=(8)r6c2                             => [r6c2]<>2(7)r6c8=(7-9)r4c8=(9-8)r4c7=(8)r5c7-(8)r5c2=(8)r6c2                   => [r6c2]<>7 __________________________________________________________________________________________`

Note: The third entry is a continuous AIC loop.

ronk: Sorry, but my thoughts have switched from NL notation to Eureka/AIC/??? notation anymore.
daj95376
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daj95376 wrote:(8)r6c2=(8)r5c2-(8=2)r5c7-(2=9)r8c7-(9)r9c9=(9-8)r9c5=(8)r6c5-(8)r6c2 => [r5c6],[r6c46]<>8

Note: The third entry is a continuous AIC loop.

ronk: Sorry, but my thoughts have switched from NL notation to Eureka/AIC/??? notation anymore.

Why anyone would want to clutter the notation -- parentheses, often writing the same candidate twice, and writing the same cell twice for AHSs -- is beyond me. BTW in AIC notation it's 'loop' not 'continuous loop', and it's frequently written as ...

(8)r6c2=(8)r5c2-(8=2)r5c7-(2=9)r8c7-(9)r9c9=(9-8)r9c5=(8)r6c5-loop => [r5c6],[r6c46]<>8

I see you're hanging on to those square brackets for the eliminations though. Cool
ronk
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