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MM 1463 july 12, 2009

 
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Mon Jul 13, 2009 1:52 am    Post subject: MM 1463 july 12, 2009 Reply with quote

Code:
. 5 .|. . .|9 4 7
1 . 2|. 3 .|. . .
. . .|. 9 .|. . .
-----+-----+-----
. . .|1 . 9|. . .
2 . .|. . .|7 . 3
7 . .|6 . 3|. . 8
-----+-----+-----
. . .|. 8 .|. . .
. . .|. 1 .|4 . 2
. 6 1|. . .|. 5 .


Code:
.---------------.---------------.---------------.
| 38   5    38  | 2    6    1   | 9    4    7   |
| 1    9    2   | 4    3    7   | 68   68   5   |
| 46   7    46  | 5    9    8   | 23   23   1   |
:---------------+---------------+---------------:
| 56   38   38  | 1    7    9   | 256  26   4   |
| 2    1    69  | 8    5    4   | 7    69   3   |
| 7    4    59  | 6    2    3   | 15   19   8   |
:---------------+---------------+---------------:
| 49   2    47  | 39   8    5   | 13   137  6   |
| 59   38   57  | 39   1    6   | 4    378  2   |
| 38   6    1   | 7    4    2   | 38   5    9   |
'---------------'---------------'---------------'
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Earl



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

PostPosted: Mon Jul 13, 2009 3:21 am    Post subject: brain Reply with quote

An xy-chain eliminates the 4 in R3C1 and solves the puzzle.

Earl
A member of the chain gang.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Mon Jul 13, 2009 4:13 am    Post subject: Reply with quote

Norm, I found a one step solution using one of your "special" moves, but my notation is BAD.

Quote:
xy-wing 57+9 with pivot 57 at r8c3, and yes, I mean a "+9" since the end result is that what I initially assumed was pincer became the cell value:
(5)r8c3 - (5=9)r6c3,
(7)r8c3 - (7)r8c8 which forms a hidden pair 38 in r8c8 & r9c7 that deletes 3 in r7c7 - (3=1)r7c7 - (1=5)r6c7 - (5=9)r6c3;
Thus, r6c3=9 if r8c3=5 or r8c3=7.

Ted

P.S. Norm I need to find one of your previous posts that used proper notation for this situation. Also, does this condition could have another name?
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Mon Jul 13, 2009 6:53 pm    Post subject: Reply with quote

tlanglet wrote:
Norm, I found a one step solution using one of your "special" moves, but my notation is BAD.

Quote:
xy-wing 57+9 with pivot 57 at r8c3, and yes, I mean a "+9" since the end result is that what I initially assumed was pincer became the cell value:
(5)r8c3 - (5=9)r6c3,
(7)r8c3 - (7)r8c8 which forms a hidden pair 38 in r8c8 & r9c7 that deletes 3 in r7c7 - (3=1)r7c7 - (1=5)r6c7 - (5=9)r6c3;
Thus, r6c3=9 if r8c3=5 or r8c3=7.

Ted

P.S. Norm I need to find one of your previous posts that used proper notation for this situation. Also, does this condition could have another name?


Ted,
a couple of things.
a)you say "xy-wing 57+9 with pivot 57 at r8c3"... I think the use of the term "xy-wing" to describe the cell {5,7} is a bit of a misnomer
because...
Code:
+--------+---------+-------+
| . .  . | . 13 .  | . . . |
| . 12 . | . .  23 | . . . |
| . .  . | . .  .  | . . . |
+--------+---------+-------+

using the term xy-wing would accurately describe the relationship that the 3 cells in the above grid have with each other.

in the example in this thread, you are only referring to two cells which don't actually form a xy-wing. you instead are pointing out two cells which form a partial xy-wing.
in reality, all you are pointing out is that the cell {5,7} is the start of your net, that one of either 5 or 7 must be true. It has nothing to do with it being a part of a xy-wing.
-----

b) again, I think there is a misnomer concerning your use of the term "hidden pair" to describe the als (378) in r89c78.
Code:
:---------------+---------------+---------------:
| 49   2    47  | 39   8    5   | 13   137  6   |
| 59   38   57  | 39   1    6   | 4    378  2   |
| 38   6    1   | 7    4    2   | 38   5    9   |
'---------------'---------------'---------------'

if the 7 is removed from r8c8 then the locked set (38) remains, or "naked pair".

a hidden pair is something different.
Code:
+-------------+-----------+---------+
| . .    .    | . .    .  | .   . . |
| . 4567 4567 | .  678 14 |  78 . . |
| . .    .    | . .    .  | .   . . |
+-------------+-----------+---------+

in the grid we have an almost hidden pair. the hidden pair (45)r2c23 would be true if the 4 in r2c6 is false.
this is not what we have in the example in this thread.
-----

the notation for your chain
(5=7)r8c3 - (7)r8c8 = (38)r89c78 - (3=1)r7c7 - (1=5)r6c7; r6c3 <> 5
-----

is this a valid BUG+3 deduction?

Code:
.---------------.---------------.---------------.
| 38   5    38  | 2    6    1   | 9    4    7   |
| 1    9    2   | 4    3    7   | 68   68   5   |
| 46   7    46  | 5    9    8   | 23  *23   1   |
:---------------+---------------+---------------:
| 56   38   38  | 1    7    9   |25[6] *26  4   |
| 2    1    69  | 8    5    4   | 7   -69   3   |
| 7    4    59  | 6    2    3   | 15   19   8   |
:---------------+---------------+---------------:
| 49   2    47  | 39   8    5   | 13 [3]17  6   |
| 59   38   57  | 39   1    6   | 4  [3]78  2   |
| 38   6    1   | 7    4    2   | 38   5    9   |
'---------------'---------------'---------------'

BUG+3[(6)r4c7 = (3)r78c8] - (3=2)r3c8 - (2=6)r4c8; r5c8 <> 6
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Mon Jul 13, 2009 7:09 pm    Post subject: Reply with quote

Thanks Norm for the comments.

I used the term xy-wing because I found the chain while looking for xy-wings, but I realize that what I found was not a "real" xy-wing. And yes, what I exposed was a "naked pair" not a "hidden pair"; I simply used the incorrect term.

I also looked at the potential BUG+3, but gave it up because I was not sure if it was valid; it has four 3s and my simple rule of three occurances in each house did not seem to apply.

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Jul 13, 2009 11:09 pm    Post subject: Reply with quote

[Edit: I was about to delete this reply, because it was incorrect, when Norm added a comment.]

Last edited by daj95376 on Mon Jul 13, 2009 11:26 pm; edited 1 time in total
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Mon Jul 13, 2009 11:23 pm    Post subject: Reply with quote

what about the 3's in row 7 and 8. there are three 3's in each of those rows.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Tue Jul 14, 2009 12:31 am    Post subject: Reply with quote

storm_norm wrote:
what about the 3's in row 7 and 8. there are three 3's in each of those rows.

Also three 3s in col8 which is ok, but what about the three 3s in col7 and the 3 in r9c7?

Ted
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Marty R.



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

PostPosted: Sun Jul 19, 2009 5:18 am    Post subject: Reply with quote

is this a valid BUG+3 deduction?

Code:

.---------------.---------------.---------------.
| 38   5    38  | 2    6    1   | 9    4    7   |
| 1    9    2   | 4    3    7   | 68   68   5   |
| 46   7    46  | 5    9    8   | 23  *23   1   |
:---------------+---------------+---------------:
| 56   38   38  | 1    7    9   |25[6] *26  4   |
| 2    1    69  | 8    5    4   | 7   -69   3   |
| 7    4    59  | 6    2    3   | 15   19   8   |
:---------------+---------------+---------------:
| 49   2    47  | 39   8    5   | 13 [3]17  6   |
| 59   38   57  | 39   1    6   | 4  [3]78  2   |
| 38   6    1   | 7    4    2   | 38   5    9   |
'---------------'---------------'---------------'


I looked at that and concluded, correctly or incorrectly, that it wasn't valid because there weren't three 6s in c7. If you remove the 6 from r4c7, then r2c7=6 and eliminations follow, there isn't a DP.
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