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Jan 23 VH

 
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

PostPosted: Sat Jan 23, 2010 4:16 pm    Post subject: Jan 23 VH Reply with quote

Looks tougher than it really is. The old reliable will do it.

Solution 235 xy-wing

Early Earl, a bit tardy
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Ema Nymton



Joined: 17 Apr 2009
Posts: 89

PostPosted: Sat Jan 23, 2010 5:48 pm    Post subject: Reply with quote

.

For the rest of us, the word is , stumped.

So far:

Code:

+----------------+------------------+------------+
| 468   7    9   | 568   1     458  | 2 58   3   |
| 128   123  28  | 7     9     2358 | 4 58   6   |
| 5     2346 268 | 2368  23468 2348 | 1 9    7   |
+----------------+------------------+------------+
| 7     5    4   | 123   23    9    | 8 6    12  |
| 9     26   3   | 1268  268   7    | 5 12   4   |
| 26    8    1   | 4     256   25*  | 7 3    9   |
+----------------+------------------+------------+
| 12468 9    268 | 128   248   1248 | 3 7    5   |
| 1248  124  7   | 12358 23458 6    | 9 1248 128 |
| 3     124  5   | 9     7     1248 | 6 1248 128 |
+----------------+------------------+------------+


DRAW/PLAY gives hint that R6C6 should be '5'. Why?

Ema Nymton
Seeking answers.
~@:o?
.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sat Jan 23, 2010 6:08 pm    Post subject: Reply with quote

Code:

+----------------+-----------------+-----------+
| 468   7    9   | 568  1     458  | 2 58  3   |
| 128   123  28  | 7    9     2358 | 4 58  6   |
| 5     2346 268 | 2368 23468 2348 | 1 9   7   |
+----------------+-----------------+-----------+
| 7     5    4   | 123  23    9    | 8 6   12  |
| 9     26   3   | 1268 268   7    | 5 12  4   |
| 26    8    1   | 4    256   25   | 7 3   9   |
+----------------+-----------------+-----------+
| 12468 9    268 | 128  248   1248 | 3 7   5   |
| 1248  124  7   | 35   35    6    | 9 124 128 |
| 3     124  5   | 9    7     1248 | 6 124 128 |
+----------------+-----------------+-----------+

Play this puzzle online at the Daily Sudoku site

Ema, this a the grid after cleaning up a little based on the 58 pair in box 3 and the 1248 quad in row 8.

There is an XY-Wing pivoted in r4c5. The pivot is 23 and the pincers cells are the 25 and 35 in r6c6 and r8c5. The pincers of 5 take out the 5 from r6c5, leaving r6c6 as the only 5 in the box and row.
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Ema Nymton



Joined: 17 Apr 2009
Posts: 89

PostPosted: Sat Jan 23, 2010 6:45 pm    Post subject: Reply with quote

.

Marty R. wrote:
[code]

There is an XY-Wing pivoted in r4c5. The pivot is 23 and the pincers cells are the 25 and 35 in r6c6 and r8c5. The pincers of 5 take out the 5 from r6c5, leaving r6c6 as the only 5 in the box and row.


Finally, _this_ makes sense! Your explanation works wonders for me. I was stumped and frustrated. Now I can go forward.

Thank you.

Ema Nymton
~@:o)
.
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roaa



Joined: 18 Apr 2009
Posts: 112
Location: Sweden

PostPosted: Sat Jan 23, 2010 7:53 pm    Post subject: VH Jan 23 Reply with quote

I had to find the hidden pair 35 before the xy-wing, which took much longer time than finding the old reliable. Or have I missed something?
In any case, a good one!
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lpj004



Joined: 25 Nov 2008
Posts: 2

PostPosted: Sat Jan 23, 2010 8:01 pm    Post subject: Reply with quote

This puzzle didn't seem to be a VH. Only basic moves were needed.

At this stage, the "Grade" button showed "very hard", though clearly it isn't. Enter the 6 in r1c1 and grade shows "easy."

+-------------+------------------+------------+
| 46 7 9 | 568 1 458 | 2 58 3 |
| 12 13 28 | 7 23589 2358 | 4 58 6 |
| 5 34 28 | 2368 23468 2348 | 1 9 7 |
+-------------+------------------+------------+
| 7 5 4 | 123 23 9 | 8 6 12 |
| 9 26 3 | 1268 268 1278 | 5 12 4 |
| 26 8 1 | 4 2356 235 | 7 23 9 |
+-------------+------------------+------------+
| 1248 9 6 | 128 248 1248 | 3 7 5 |
| 1248 124 7 | 12358 23458 6 | 9 1248 128 |
| 3 124 5 | 1289 7 1248 | 6 1248 128 |
+-------------+------------------+------------+
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sat Jan 23, 2010 8:33 pm    Post subject: Reply with quote

Quote:
I had to find the hidden pair 35 before the xy-wing, which took much longer time than finding the old reliable. Or have I missed something?

If you see my post above, I also had to find the 35 hidden pair. However, I don't use the hidden pair terminology, I use the complementary subset which, in this case, was the quad of 1248.
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Wendy W



Joined: 04 Feb 2008
Posts: 144

PostPosted: Sat Jan 23, 2010 9:33 pm    Post subject: Reply with quote

I agree with those of you who thought this one was a lot trickier than usual. But I did get to use a swordfish (took the 6 out from R3C5)! Good puzzle.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sun Jan 24, 2010 2:52 am    Post subject: Reply with quote

lpj004 wrote:
This puzzle didn't seem to be a VH. Only basic moves were needed.

At this stage, the "Grade" button showed "very hard", though clearly it isn't. Enter the 6 in r1c1 and grade shows "easy."

Code:
+-------------+------------------+------------+
| 46   7   9  | 568   1     458  | 2 58   3   |
| 12   13  28 | 7     23589 2358 | 4 58   6   |
| 5    34  28 | 2368  23468 2348 | 1 9    7   |
+-------------+------------------+------------+
| 7    5   4  | 123   23    9    | 8 6    12  |
| 9    26  3  | 1268  268   1278 | 5 12   4   |
| 26   8   1  | 4     2356  235  | 7 23   9   |
+-------------+------------------+------------+
| 1248 9   6  | 128   248   1248 | 3 7    5   |
| 1248 124 7  | 12358 23458 6    | 9 1248 128 |
| 3    124 5  | 1289  7     1248 | 6 1248 128 |
+-------------+------------------+------------+

I agree, from the position you posted, the puzzle is only singles. But, how did you get to this point?

In particular, how did you solve R7C3 as 6?

Delete the solved 6 in R7C3, and you have:

Code:
+-------------------+-------------------+-------------------+
| 468   7     9     | 568   1     458   | 2     58    3     |
| 128   123   28    | 7     23589 2358  | 4     58    6     |
| 5     2346  268   | 2368  23468 2348  | 1     9     7     |
+-------------------+-------------------+-------------------+
| 7     5     4     | 123   23    9     | 8     6     12    |
| 9     26    3     | 1268  268   1278  | 5     12    4     |
| 26    8     1     | 4     2356  235   | 7     23    9     |
+-------------------+-------------------+-------------------+
| 12468 9     268   | 128   248   1248  | 3     7     5     |
| 1248  124   7     | 12358 23458 6     | 9     1248  128   |
| 3     124   5     | 1289  7     1248  | 6     1248  128   |
+-------------------+-------------------+-------------------+

Now, what?

Keith
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Ema Nymton



Joined: 17 Apr 2009
Posts: 89

PostPosted: Sun Jan 24, 2010 9:36 am    Post subject: Reply with quote

.

Please forgive my ignorance. I am having problems following your line of reasoning.

Marty R. wrote:


Ema, ... the 1248 quad in row 8.

... 35 in r8c5. .


What does the 1248 quad mean?

How did you find the 'hidden' 35 in r8c5? At this point the possibilities are '23458'. Where did the '248' go?

It is obvious, the depth of the reasoning in the problem solving techniques has eluded me.

Ema
Seeking more answers.
~@:o?
.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sun Jan 24, 2010 1:21 pm    Post subject: Reply with quote

Quote:
How did you find the 'hidden' 35 in r8c5? At this point the possibilities are '23458'. Where did the '248' go?

In the row, 3 and 5 only occur together, and they only occur in two cells. Those cells can only be 35. That is the hidden pair.

Or, by the same token, the candidates 1248 can be found in four cells that contain no other candidates. That is the quad.

Keith
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Ema Nymton



Joined: 17 Apr 2009
Posts: 89

PostPosted: Sun Jan 24, 2010 2:28 pm    Post subject: Reply with quote

.

keith wrote:

In the row, 3 and 5 only occur together, and they only occur in two cells. Those cells can only be 35. That is the hidden pair.

Or, by the same token, the candidates 1248 can be found in four cells that contain no other candidates. That is the quad.

Keith


Now that you point it out to me, I can see the '35'. And more importantly _why_.

Humbly, I thank you.

Ema
~@:o)
.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Tue Jan 26, 2010 5:09 am    Post subject: Reply with quote

I uploaded a walkthrough here...

1-23-10-VH
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strmckr



Joined: 18 Aug 2009
Posts: 64

PostPosted: Tue Jan 26, 2010 8:45 am    Post subject: Reply with quote

Code:
.------------------.--------------------.--------------.
| 468    7     9   | 568@   1     -458  | 2  58    3   |
| 128    123   28  | 7      9     -2358 | 4  58    6   |
| 5      2346  268 | 2368   23468  2348 | 1  9     7   |
:------------------+--------------------+--------------:
| 7      5     4   | 123    23@    9    | 8  6     12  |
| 9      26    3   | 1268   268    7    | 5  12    4   |
| 26     8     1   | 4      256    25@  | 7  3     9   |
:------------------+--------------------+--------------:
| 12468  9     268 | 128    248    1248 | 3  7     5   |
| 1248   124   7   | 12358@ 23458@ 6    | 9  1248  128 |
| 3      124   5   | 9      7      1248 | 6  1248  128 |
'------------------'--------------------'--------------'


i found this at the start before i did anything.
AIC 5- r1c4 =5= r8c4 =3= r8c5 -3- r4c5 -2- r6c6 -5 => r12c6<>5
all singles to the end......
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