- Code: Select all
*-----------*
|.6.|.7.|9..|
|..9|..5|.1.|
|..5|...|82.|
|---+---+---|
|...|...|..5|
|.7.|.94|...|
|.3.|7..|4.2|
|---+---+---|
|...|61.|3..|
|...|...|.4.|
|8..|3.7|...|
*-----------*
Play/Print this puzzle online
May 15, 2014
10 posts
• Page 1 of 1
May 15, 2014
by ArkieTech » Wed May 14, 2014 11:07 pm
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dan
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ArkieTech - Posts: 3355
- Joined: 29 May 2006
- Location: NW Arkansas USA
Re: May 15, 2014
by SteveG48 » Wed May 14, 2014 11:49 pm
- Code: Select all
*-----------------------------------------------------------*
| 123 6 c138 | 248 7 b38 | 9 5 34 |
| 23 d28 9 | 248 a236 5 | 7 1 346 |
| 7 4 5 | 19 36 19 | 8 2 36 |
*-------------------+-------------------+-------------------|
| 9 e28 4 | 128 3-2 1368 | 16 7 5 |
| 25 7 16 | 25 9 4 | 16 3 8 |
| 156 3 168 | 7 58 168 | 4 9 2 |
*-------------------+-------------------+-------------------|
| 4 5 7 | 6 1 2 | 3 8 9 |
| 36 1 36 | 589 58 89 | 2 4 7 |
| 8 9 2 | 3 4 7 | 5 6 1 |
*-----------------------------------------------------------*
(2=36)r23c5 - (3=8)r1c6 - r1c3 = r2c2 - (8=2)r4c2 => -2 r4c5 ; stte
Steve
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SteveG48 - 2019 Supporter
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Re: May 15, 2014
by tlanglet » Thu May 15, 2014 2:50 am
SteveG48 wrote:
- Code: Select all
*-----------------------------------------------------------*
| 123 6 c138 | 248 7 b38 | 9 5 34 |
| 23 d28 9 | 248 a236 5 | 7 1 346 |
| 7 4 5 | 19 36 19 | 8 2 36 |
*-------------------+-------------------+-------------------|
| 9 e28 4 | 128 3-2 1368 | 16 7 5 |
| 25 7 16 | 25 9 4 | 16 3 8 |
| 156 3 168 | 7 58 168 | 4 9 2 |
*-------------------+-------------------+-------------------|
| 4 5 7 | 6 1 2 | 3 8 9 |
| 36 1 36 | 589 58 89 | 2 4 7 |
| 8 9 2 | 3 4 7 | 5 6 1 |
*-----------------------------------------------------------*
(2=36)r23c5 - (3=8)r1c6 - r1c3 = r2c2 - (8=2)r4c2 => -2 r4c5 ; stte
Steve, you could shorten your chain and still get a one step "stte" solution.
(2=36)r23c5 - (3=8)r1c6 - r1c3 = 8r2c2 => r2c2 <>2; stte
Those ANP()s are powerful.......
Ted
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Re: May 15, 2014
by tlanglet » Thu May 15, 2014 2:59 am
- Code: Select all
*-----------------------------------------------------------*
| 123 6 138 | 28-4 7 *38 | 9 5 *34 |
| 23 d28 9 |*48=2 236 5 | 7 1 36-4 |
| 7 4 5 | 19 36 19 | 8 2 36 |
|-------------------+-------------------+-------------------|
| 9 c28 4 |a128 b23 1368 | 16 7 5 |
| 25 7 16 |s25 9 4 | 16 3 8 |
| 156 3 168 | 7 58 168 | 4 9 2 |
|-------------------+-------------------+-------------------|
| 4 5 7 | 6 1 2 | 3 8 9 |
| 36 1 36 | 589 58 89 | 2 4 7 |
| 8 9 2 | 3 4 7 | 5 6 1 |
*-----------------------------------------------------------*
AXY-wing(38-4) with pivot (38)r1c6 and pincers (34)r1c9 & (48=2)r2c4
xy-wing(38-4) => r1c4,r2c9<>4
||
2r2c4-2r45c4=2r4c5-2r4c2=2r2c2 Contradiction => r2c4<>2
Ted
(Yes, a two step solution...........)
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Re: May 15, 2014
by daj95376 » Thu May 15, 2014 3:23 am
_
Leren should have a ball finding embedded chains in this grid.
One chain actually contains three embedded chains! Of course, some eliminations overlap.
Leren should have a ball finding embedded chains in this grid.
- Code: Select all
+--------------------------------------------------------------+
| 123 6 138 | 248 7 38 | 9 5 34 |
| 23 28 9 | 248 236 5 | 7 1 346 |
| 7 4 5 | 19 36 19 | 8 2 36 |
|--------------------+--------------------+--------------------|
| 9 28 4 | 128 23 1368 | 16 7 5 |
| 25 7 16 | 25 9 4 | 16 3 8 |
| 156 3 168 | 7 58 168 | 4 9 2 |
|--------------------+--------------------+--------------------|
| 4 5 7 | 6 1 2 | 3 8 9 |
| 36 1 36 | 589 58 89 | 2 4 7 |
| 8 9 2 | 3 4 7 | 5 6 1 |
+--------------------------------------------------------------+
# 45 eliminations remain
- Code: Select all
(4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 => r1c4<>2
(2)r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 => r2c12<>2
(2)r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 - r2c12 = (2)r1c1 => r1c1<>13
(2)r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 - r2c2 = (2)r4c2 => r5c1<>2
(2)r4c2 = r2c2 - r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 => r4c5<>2
(2)r5c4 = r5c1 - r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 => r12c4,r4c5<>2
(2)r5c4 = r5c1 - r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 - r2c2 = (2)r4c2 => r4c45<>2
(2)r2c5 = r4c5 - r4c2 = r5c1 - r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 => r2c5<>36
(1)r6c1 = (1-2)r1c1 = r1c4 - r2c5 =UR= (4)r2c9 - (4=3)r1c9 - (38=1)r1c36 => r56c3<>1
(1)r6c1 = (1-2)r1c1 = r1c4 - r2c5 =UR= (4)r2c9 - (4=3)r1c9 - (38=1)r1c36 - r56c3 = (1)r6c1 => r6c1<>56
One chain actually contains three embedded chains! Of course, some eliminations overlap.
- Code: Select all
(2)r5c4 = r5c1 - r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 - r2c2 = (2)r4c2 => r4c45<>2
(2)r5c4 = r5c1 - r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 => r12c4,r4c5<>2
(2)r1c1 = (2-4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 => r2c12<>2
(4)r1c4 = r2c4 - r2c9 =UR= (2)r2c5 => r1c4<>2
Last edited by daj95376 on Thu May 15, 2014 3:35 am, edited 1 time in total.
- daj95376
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Re: May 15, 2014
by Leren » Thu May 15, 2014 3:25 am
- Code: Select all
*--------------------------------------------------------------*
|b123 6 138 |c248 7 38 | 9 5 34 |
| 23 a28 9 |d24-8 236 5 | 7 1 346 |
| 7 4 5 | 19 36 19 | 8 2 36 |
|--------------------+--------------------+--------------------|
| 9 28 4 | 128 23 1368 | 16 7 5 |
| 25 7 16 | 25 9 4 | 16 3 8 |
| 156 3 168 | 7 58 168 | 4 9 2 |
|--------------------+--------------------+--------------------|
| 4 5 7 | 6 1 2 | 3 8 9 |
| 36 1 36 | 589 58 89 | 2 4 7 |
| 8 9 2 | 3 4 7 | 5 6 1 |
*--------------------------------------------------------------*
H2 Wing: (8=2) r2c2 - r1c1 = (2-4) r1c4 = (4) r2c4 => - 8 r2c4; stte
Leren
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Re: May 15, 2014
by Leren » Thu May 15, 2014 3:56 am
- Code: Select all
*--------------------------------------------------------------*
| 123 6 13-8 | 248 7 b38 | 9 5 34 |
| 23 c28 9 | 24-8 a236 5 | 7 1 346 |
| 7 4 5 | 19 d36 19 | 8 2 36 |
|--------------------+--------------------+--------------------|
| 9 28 4 | 128 23 1368 | 16 7 5 |
| 25 7 16 | 25 9 4 | 16 3 8 |
| 156 3 168 | 7 58 168 | 4 9 2 |
|--------------------+--------------------+--------------------|
| 4 5 7 | 6 1 2 | 3 8 9 |
| 36 1 36 | 589 58 89 | 2 4 7 |
| 8 9 2 | 3 4 7 | 5 6 1 |
*--------------------------------------------------------------*
There is a WXYZ Wing (236-8) Pivot r2c5, Pincers r1c6, r2c2 & r3c5 => - 8 r1c3, r2c4; stte
This might be considered an embedded chain if you write it as: (8=3) r1c6 [ - (3=6) r3c5 - (36=2) r2c5 - (2=8) r2c2 ].
On the other hand you could write it in a few other other ways, such as : (8=3) r1c6 - (36=2) r23c5 - (2=8) r2c2, in which case it doesn't look like an embedded chain.
Leren
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Re: May 15, 2014
by daj95376 » Thu May 15, 2014 11:37 am
Leren wrote:
- Code: Select all
*--------------------------------------------------------------*
| 123 6 13-8 | 248 7 b38 | 9 5 34 |
| 23 c28 9 | 24-8 a236 5 | 7 1 346 |
| 7 4 5 | 19 d36 19 | 8 2 36 |
|--------------------+--------------------+--------------------|
| 9 28 4 | 128 23 1368 | 16 7 5 |
| 25 7 16 | 25 9 4 | 16 3 8 |
| 156 3 168 | 7 58 168 | 4 9 2 |
|--------------------+--------------------+--------------------|
| 4 5 7 | 6 1 2 | 3 8 9 |
| 36 1 36 | 589 58 89 | 2 4 7 |
| 8 9 2 | 3 4 7 | 5 6 1 |
*--------------------------------------------------------------*
There is a WXYZ Wing (236-8) Pivot r2c5, Pincers r1c6, r2c2 & r3c5 => - 8 r1c3, r2c4; stte
This might be considered an embedded chain if you write it as: (8=3) r1c6 [ - (3=6) r3c5 - (36=2) r2c5 - (2=8) r2c2 ].
On the other hand you could write it in a few other other ways, such as : (8=3) r1c6 - (36=2) r23c5 - (2=8) r2c2, in which case it doesn't look like an embedded chain.
What ???
An embedded chain accounts for its own eliminations. Starting with -3r3c5 and ending with =8r2c2 does not account for any elimination in this grid. In addition, your -(36=2)r2c5 term does not follow from =6r3c5. You are using memory from the outer term where you have =3r1c6.
I suggest that you use the (network) ALS-XZ: (8=2)r2c2 - (2=368)r1c6,r23c5 => r1c3,r2c4<>8
_
- daj95376
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Re: May 15, 2014
by SteveG48 » Thu May 15, 2014 1:42 pm
tlanglet wrote:(2=36)r23c5 - (3=8)r1c6 - r1c3 = r2c2 - (8=2)r4c2 => -2 r4c5 ; stte
Steve, you could shorten your chain and still get a one step "stte" solution.
(2=36)r23c5 - (3=8)r1c6 - r1c3 = 8r2c2 => r2c2 <>2; stte
Those ANP()s are powerful.......
Ted[/quote]
Excellent! Thanks, Ted.
Steve
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SteveG48 - 2019 Supporter
- Posts: 4479
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Re: May 15, 2014
by Marty R. » Thu May 15, 2014 4:49 pm
- Code: Select all
+------------+--------------+----------+
| 123 6 138 | 248 7 38 | 9 5 34 |
| 23 28 9 | 248 236 5 | 7 1 346 |
| 7 4 5 | 19 36 19 | 8 2 36 |
+------------+--------------+----------+
| 9 28 4 | 128 23 1368 | 16 7 5 |
| 25 7 16 | 25 9 4 | 16 3 8 |
| 156 3 168 | 7 58 168 | 4 9 2 |
+------------+--------------+----------+
| 4 5 7 | 6 1 2 | 3 8 9 |
| 36 1 36 | 589 58 89 | 2 4 7 |
| 8 9 2 | 3 4 7 | 5 6 1 |
+------------+--------------+----------+
Play this puzzle online at the Daily Sudoku site
Type 3 UR (36), r23,c59: 2r2c5=4r2c9-(4=3)r1c9-(318=2)r1c631=>r2c12<>2
- Marty R.
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10 posts
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