## struck with No 586 of the Times (fiendish)

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### struck with No 586 of the Times (fiendish)

Hi all,

with the last three fiendish sudokus at The Times I was only with guessing able to solve:

Code: Select all
(28  )  6      4     | (13  ) (37  ) (127 ) |  5     (18  )  9
(2359)  1     (357 ) |  6      8     (29  ) | (27  )  4     (37  )
(2389) (2789) (378 ) |  4      5     (129 ) | (278 ) (168 ) (1367)
--------------------------------------------------------------------
(89  ) (89  )  2     |  7      1      3     |  4     (56  ) (56  )
7      4      1     |  2      6      5     |  3      9      8
(356 ) (53  ) (356 ) |  9      4      8     |  1      7      2
---------------------------------------------------------------------
(1235) (27  ) (357 ) | (135 )  9      6     | (78  ) (158 )  4
(1568) (78  ) (5678) | (15  )  2      4     |  9      3     (157)
4     (53  )  9     |  8     (37  ) (17  ) |  6      2     (15  )

I do know through guessing that the solution is:

Code: Select all
264 137 589
915 682 743
278 459 261

892 713 456
741 265 398
653 948 172

527 396 814
186 524 937
439 871 625

But without guessing I'm at a loss ;-)
What's the next step?

TIA,
Niko
nab

Posts: 3
Joined: 29 January 2006

Simple Sudoku says this puzzle has two solutions, so guessing is necessary as logic will not and cannot solve it. Assuming you entered it into a computer program, is it possible a clue was either left out or entered in the wrong cell?

Tracy
TKiel

Posts: 209
Joined: 05 January 2006

### Re: struck with No 586 of the Times (fiendish)

nab wrote:Hi all,

with the last three fiendish sudokus at The Times I was only with guessing able to solve:

Code: Select all
(28  )  6      4     | (13  ) (37  ) (127 ) |  5     (18  )  9
(2359)  1     (357 ) |  6      8     (29  ) | (27  )  4     (37  )
(2389) (2789) (378 ) |  4      5     (129 ) | (278 ) (168 ) (1367)
--------------------------------------------------------------------
(89  ) (89  )  2     |  1*    7*      3     |  4     (56  ) (56  )
7      4      1     |  2      6      5     |  3      9      8
(356 ) (53  ) (356 ) |  9      4      8     |  1      7      2
---------------------------------------------------------------------
(1235) (27  ) (357 ) | (135 )  9      6     | (78  ) (158 )  4
(1568) (78  ) (5678) | (15  )  2      4     |  9      3     (157)
4     (53  )  9     |  8     (37  ) (17  ) |  6      2     (15  )

somewhere you have got the top row of box 5 wrong, the 1 and 7 need to swap places.
Crazy Girl

Posts: 189
Joined: 08 November 2005

The original puzzle is:

Code: Select all
*-----------*
|.6.|..1|5.9|
|.1.|.8.|...|
|...|4..|...|
|---+---+---|
|..2|.73|...|
|7..|2.5|..8|
|...|94.|1..|
|---+---+---|
|...|..6|...|
|...|.2.|.3.|
|4.9|8..|.2.|
*-----------*

{238}    {6}      {3478}   {37}     {3}      {1}      {5}      {478}    {9}
{2359}   {1}      {3457}   {3567}   {8}      {279}    {23467}  {467}    {23467}
{23589}  {235789} {3578}   {4}      {3569}   {279}    {23678}  {1678}   {12367}
{15689}  {4589}   {2}      {16}     {7}      {3}      {469}    {4569}   {456}
{7}      {349}    {1346}   {2}      {16}     {5}      {3469}   {469}    {8}
{3568}   {358}    {3568}   {9}      {4}      {8}      {1}      {567}    {23567}
{12358}  {23578}  {13578}  {1357}   {1359}   {6}      {4789}   {145789} {1457}
{1568}   {578}    {15678}  {157}    {2}      {479}    {46789}  {3}      {14567}
{4}      {357}    {9}      {8}      {135}    {7}      {67}     {2}      {1567}

Singles, pairs and locked candidates are all that's required. Though there's also an x-wing on 2s that helps, but it's not essential to solving the puzzle.
CathyW

Posts: 316
Joined: 20 June 2005

thanks,

well, I should have checked the setup before posting

Niko
nab

Posts: 3
Joined: 29 January 2006