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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Mon Jul 13, 2009 1:52 am Post subject: MM 1463 july 12, 2009 |
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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
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Posted: Mon Jul 13, 2009 3:21 am Post subject: brain |
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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
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Posted: Mon Jul 13, 2009 4:13 am Post subject: |
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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.
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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
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Posted: Mon Jul 13, 2009 6:53 pm Post subject: |
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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.
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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
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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
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Posted: Mon Jul 13, 2009 7:09 pm Post subject: |
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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
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Posted: Mon Jul 13, 2009 11:09 pm Post subject: |
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[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
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Posted: Mon Jul 13, 2009 11:23 pm Post subject: |
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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
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Posted: Tue Jul 14, 2009 12:31 am Post subject: |
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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
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Posted: Sun Jul 19, 2009 5:18 am Post subject: |
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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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