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by **ArkieTech** » Sat Jun 22, 2013 12:24 am

Code: Select all: *-----------* |9..|...|.53| |4..|...|6.2| |..3|97.|...| |---+---+---| |...|.3.|.81| |...|5.2|...| |86.|.9.|...| |---+---+---| |...|14.|5..| |6.1|...|...| |35.|...|.19| *-----------*

Play/Print this puzzle online

by **pjb** » Sat Jun 22, 2013 5:06 am

Code: Select all: 9 18 6 | 248 12 48 | 7 5 3 4 178 78 | 38 15 35 | 6 9 2 5 2 3 | 9 7 6 | 1 4 8 ---------------------+----------------------+--------------------- a27 479 5 | 6 3 47 |b249 8 1 1 3 49-7 | 5 8 2 |b49 b67 b467 8 6 247 | 47 9 1 | 234 237 5 ---------------------+----------------------+--------------------- 27 789 2789 | 1 4 39 | 5 2367 67 6 479 1 | 2378 25 359 | 2348 237 47 3 5 247 | 278 6 78 | 248 1 9

(7=2) r4c1 - (2=4679) r4c7, r5c789 => -7 r5c3; lclste
Phil

by **ArkieTech** » Sat Jun 22, 2013 9:30 am

pjb wrote:(7=2) r4c1 - (2=4679) r4c7, r5c789 => -7 r5c3; lclste

by **Leren** » Sat Jun 22, 2013 9:43 am

Code: Select all: *--------------------------------------------------------------* | 9 18 6 | 248 12 48 | 7 5 3 | | 4 178 78 | 38 15 35 | 6 9 2 | | 5 2 3 | 9 7 6 | 1 4 8 | |--------------------+---------------------+-------------------| |b27 479 5 | 6 3 d47 | 249 8 1 | | 1 3 479 | 5 8 2 | 49 67 467 | | 8 6 a247 |ec47 9 1 | 234 23-7 5 | |--------------------+---------------------+-------------------| | 27 789 2789 | 1 4 39 | 5 2367 67 | | 6 479 1 | 2378 25 359 | 2348 237 47 | | 3 5 247 | 278 6 78 | 248 1 9 | *--------------------------------------------------------------*

XYZ Wing (24-7) with pincer transport : One of r4c1, r6c34 = 7 but 7 r4c1 - r4c6 = r6c4 => (7) r6c3 = (7) r6c4 => - 7 r6c8; lclste

I'll have a go at Eureka notation: (7) r6c34 = XYZ = r4c1 - r4c6 = r6c4 => - 7 r6c8; lclste

That's right .... I think ...

Leren

by **tlanglet** » Sat Jun 22, 2013 12:40 pm

Code: Select all: *-----------------------------------------------------------* | 9 18 6 | 248 12 48 | 7 5 3 | | 4 178 78 | 38 15 35 | 6 9 2 | | 5 2 3 | 9 7 6 | 1 4 8 | |-------------------+-------------------+-------------------| | 27 *479 5 | 6 3 a47 |*249 8 1 | | 1 3 479 | 5 8 2 | 49 d67 d467 | | 8 6 247 |b47 9 1 | 234 c237 5 | |-------------------+-------------------+-------------------| | 27 789 2789 | 1 4 39 | 5 2367 67 | | 6 -479 1 | 2378 25 359 | 2348 237 47 | | 3 5 *247 | 278 6 78 |*248 1 9 | *-----------------------------------------------------------*

Something a little different and also a little similar.........

Almost skyscraper(4)r49c7 with 4r4c6 and a split path
[skyscraper(4)r49c7 => r8c2<>4] = [4r4c6-(4=7)r6c4-r6c8=7r5c89:
(7-6)r5c8=(6-4)r5c9=4r8c9 => r8c2<>4
||
(7-4)r5c9=4r8c9 => r8c2<>4] => r8c2<>4

I have seen posts where the logic splits and then converges using diagrams, but I have never figured out how the multiple lines are formatted so they align appropriately. Thus, above I simply offered the two independent paths where r5c8 or r5c9 is equal 7.

Ted

by **7b53** » Sat Jun 22, 2013 1:38 pm

don't know how to explain this..
(2)r7c1 is a DP maker...combine with (39)r7c6 => r7c1 <> 2

Code: Select all: *-----------------------------------------------------------* | 9 18 6 | 248 12 48 | 7 5 3 | | 4 178 78 | 38 15 35 | 6 9 2 | | 5 2 3 | 9 7 6 | 1 4 8 | |-------------------+-------------------+-------------------| | 27 479 5 | 6 3 47 | 249 8 1 | | 1 3 479 | 5 8 2 | 49 67 467 | | 8 6 247 | 47 9 1 | 234 237 5 | |-------------------+-------------------+-------------------| | 27* 789 2789 | 1 4 39* | 5 2367 67 | | 6 479 1 | 2378 25 359 | 2348 237 47 | | 3 5 247 | 278 6 78 | 248 1 9 | *-----------------------------------------------------------*

2r7c1 + 3r7c6 = ur (67) r57c89

2r7c1 + 9r7c6 = ur (78) r27c23
..(2)r7c1 also implies r2c23 = 78

by **daj95376** » Sat Jun 22, 2013 4:14 pm

Leren wrote:
Code: Select all
*--------------------------------------------------------------* | 9 18 6 | 248 12 48 | 7 5 3 | | 4 178 78 | 38 15 35 | 6 9 2 | | 5 2 3 | 9 7 6 | 1 4 8 | |--------------------+---------------------+-------------------| |b27 479 5 | 6 3 d47 | 249 8 1 | | 1 3 479 | 5 8 2 | 49 67 467 | | 8 6 a247 |ec47 9 1 | 234 23-7 5 | |--------------------+---------------------+-------------------| | 27 789 2789 | 1 4 39 | 5 2367 67 | | 6 479 1 | 2378 25 359 | 2348 237 47 | | 3 5 247 | 278 6 78 | 248 1 9 | *--------------------------------------------------------------*

XYZ Wing (24-7) with pincer transport : One of r4c1, r6c34 = 7 but 7 r4c1 - r4c6 = r6c4 => (7) r6c3 = (7) r6c4 => - 7 r6c8; lclste

I'll have a go at Eureka notation: (7) r6c34 = XYZ = r4c1 - r4c6 = r6c4 => - 7 r6c8; lclste

Another perspective where the XYZ-Wing cells in r6c34 are treated as an ALS that impacts the third cell of the XYZ-Wing.

Code: Select all: (47=2)r6c34 - (2=7)r4c1 - r4c6 = (7)r6c4 => r6c8<>7

by **daj95376** » Sat Jun 22, 2013 4:35 pm

tlanglet wrote:
Code: Select all
*-----------------------------------------------------------* | 9 18 6 | 248 12 48 | 7 5 3 | | 4 178 78 | 38 15 35 | 6 9 2 | | 5 2 3 | 9 7 6 | 1 4 8 | |-------------------+-------------------+-------------------| | 27 *479 5 | 6 3 a47 |*249 8 1 | | 1 3 479 | 5 8 2 | 49 d67 d467 | | 8 6 247 |b47 9 1 | 234 c237 5 | |-------------------+-------------------+-------------------| | 27 789 2789 | 1 4 39 | 5 2367 67 | | 6 -479 1 | 2378 25 359 | 2348 237 47 | | 3 5 *247 | 278 6 78 |*248 1 9 | *-----------------------------------------------------------*

Something a little different and also a little similar.........

Almost skyscraper(4)r49c7 with 4r4c6 and a split path
[skyscraper(4)r49c7 => r8c2<>4] = [4r4c6-(4=7)r6c4-r6c8=7r5c89:
(7-6)r5c8=(6-4)r5c9=4r8c9 => r8c2<>4
||
(7-4)r5c9=4r8c9 => r8c2<>4] => r8c2<>4

I think your logic can be viewed as a Kraken Skyscraper:

Code: Select all: Skyscraper (4)r49c7 => r8c2<>4 (4)r4c6 - (4=7)r6c4 - (7)r6c8 =AHS= (67-4)r5c89 = (4)r8c9 - (4)r8c2

by **daj95376** » Sat Jun 22, 2013 4:49 pm

7b53 wrote:don't know how to explain this..
(2)r7c1 is a DP maker...combine with (39)r7c6 => r7c1 <> 2

Code: Select all
*-----------------------------------------------------------* | 9 18 6 | 248 12 48 | 7 5 3 | | 4 178 78 | 38 15 35 | 6 9 2 | | 5 2 3 | 9 7 6 | 1 4 8 | |-------------------+-------------------+-------------------| | 27 479 5 | 6 3 47 | 249 8 1 | | 1 3 479 | 5 8 2 | 49 67 467 | | 8 6 247 | 47 9 1 | 234 237 5 | |-------------------+-------------------+-------------------| | 27* 789 2789 | 1 4 39* | 5 2367 67 | | 6 479 1 | 2378 25 359 | 2348 237 47 | | 3 5 247 | 278 6 78 | 248 1 9 | *-----------------------------------------------------------*

2r7c1 + 3r7c6 = ur (67) r57c89

2r7c1 + 9r7c6 = ur (78) r27c23
..(2)r7c1 also implies r2c23 = 78

I don't see your logic working.

Code: Select all: +---------------------------------------------------------------+ | 9 18 6 | 248 12 48 | 7 5 3 | | 4 *78+1 *78 | 38 15 35 | 6 9 2 | | 5 2 3 | 9 7 6 | 1 4 8 | |--------------------+--------------------+---------------------| | 27 479 5 | 6 3 47 | 249 8 1 | | 1 3 479 | 5 8 2 | 49 *67 *67+4 | | 8 6 247 | 47 9 1 | 234 237 5 | |--------------------+--------------------+---------------------| | 27 *78+9 *78+29 | 1 4 39 | 5 *67+23 *67 | | 6 479 1 | 2378 25 359 | 2348 237 47 | | 3 5 247 | 278 6 78 | 248 1 9 | +---------------------------------------------------------------+ # 62 eliminations remain (2)r7c1 + (3)r7c6 => (23)r7c8 =UR67= (4)r5c9 (2)r7c1 + (9)r7c6 => (29)t7c23 =UR78= (1)r2c2

In the first scenario, you force r5c9=4. In the second scenario, you force r2c2=1. Nothing follows!

by **Marty R.** » Sat Jun 22, 2013 10:38 pm

Code: Select all: +-------------+-------------+---------------+ | 9 18 6 | 248 12 48 | 7 5 3 | | 4 178 78 | 38 15 35 | 6 9 2 | | 5 2 3 | 9 7 6 | 1 4 8 | +-------------+-------------+---------------+ | 27 479 5 | 6 3 47 | 249 8 1 | | 1 3 479 | 5 8 2 | 49 67 467 | | 8 6 247 | 47 9 1 | 234 237 5 | +-------------+-------------+---------------+ | 27 789 2789 | 1 4 39 | 5 2367 67 | | 6 479 1 | 2378 25 359 | 2348 237 47 | | 3 5 247 | 278 6 78 | 248 1 9 | +-------------+-------------+---------------+

Play this puzzle online at the Daily Sudoku site

A one-stepper wasn't in the cards.

Skyscraper (4), c59=>r4c7,r5c3<>4
XY-Wing (27-9), pivot r4c1=>r4c2,r5c7<>9

by **Marty R.** » Sun Jun 23, 2013 12:16 am

pjb wrote:
Code: Select all
9 18 6 | 248 12 48 | 7 5 3 4 178 78 | 38 15 35 | 6 9 2 5 2 3 | 9 7 6 | 1 4 8 ---------------------+----------------------+--------------------- a27 479 5 | 6 3 47 |b249 8 1 1 3 49-7 | 5 8 2 |b49 b67 b467 8 6 247 | 47 9 1 | 234 237 5 ---------------------+----------------------+--------------------- 27 789 2789 | 1 4 39 | 5 2367 67 6 479 1 | 2378 25 359 | 2348 237 47 3 5 247 | 278 6 78 | 248 1 9

(7=2) r4c1 - (2=4679) r4c7, r5c789 => -7 r5c3; lclste
Phil

Would this alternative notation be OK?

(7=2)r4c1-(2=47)r6c34-r6c8=r5c89=>r5c3<>7

by **pjb** » Sun Jun 23, 2013 2:47 am

Marty R wrote:

Would this alternative notation be OK?

Looks good to me
Phil

by **7b53** » Sun Jun 23, 2013 4:01 am

daj95376 wrote:
Code: Select all
+---------------------------------------------------------------+ | 9 18 6 | 248 12 48 | 7 5 3 | | 4 *78+1 *78 | 38 15 35 | 6 9 2 | | 5 2 3 | 9 7 6 | 1 4 8 | |--------------------+--------------------+---------------------| | 27 479 5 | 6 3 47 | 249 8 1 | | 1 3 479 | 5 8 2 | 49 *67 *67+4 | | 8 6 247 | 47 9 1 | 234 237 5 | |--------------------+--------------------+---------------------| | 27 *78+9 *78+29 | 1 4 39 | 5 *67+23 *67 | | 6 479 1 | 2378 25 359 | 2348 237 47 | | 3 5 247 | 278 6 78 | 248 1 9 | +---------------------------------------------------------------+ # 62 eliminations remain (2)r7c1 + (3)r7c6 => (23)r7c8 =UR67= (4)r5c9 (2)r7c1 + (9)r7c6 => (29)t7c23 =UR78= (1)r2c2

In the first scenario, you force r5c9=4.

Mm...what about r8c9, doesn't r8c9=4 ?

In the second scenario, you force r2c2=1. Nothing follows!

(2)r7c1 -> 7r4c1 -> 4r4c6 -> 8r1c6 -> 1r1c2 => r2c2 <> 1
how to explain this ?

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