- Code: Select all
*-----------*
|2.8|...|..1|
|.1.|...|9..|
|.34|2..|.65|
|---+---+---|
|...|1.4|.59|
|...|.3.|...|
|12.|7.8|...|
|---+---+---|
|34.|..2|58.|
|..6|...|.9.|
|5..|...|3.4|
*-----------*
Play/Print this puzzle online
*-----------*
|2.8|...|..1|
|.1.|...|9..|
|.34|2..|.65|
|---+---+---|
|...|1.4|.59|
|...|.3.|...|
|12.|7.8|...|
|---+---+---|
|34.|..2|58.|
|..6|...|.9.|
|5..|...|3.4|
*-----------*
*-----------------------------------------------------------*
| 2 b567 8 |a56 a569 5679 | 4 3 1 |
| 67 1 c57 | 34 4568 3567 | 9 2 78 |
| 9 3 4 | 2 18 17 | 78 6 5 |
*-------------------+-------------------+-------------------|
| 678 678 3 | 1 2 4 | 78 5 9 |
| 4 578 579 | 56 3 569 | 2 1 78 |
| 1 2 d59 | 7 5-9 8 | 6 4 3 |
*-------------------+-------------------+-------------------|
| 3 4 1 | 9 7 2 | 5 8 6 |
| 78 78 6 | 34 45 35 | 1 9 2 |
| 5 9 2 | 8 16 16 | 3 7 4 |
*-----------------------------------------------------------*
2 b567 8 | 56 d569 c5679 | 4 3 1
67 1 a57 | 34 468-5 3567 | 9 2 78
9 3 4 | 2 18 17 | 78 6 5
---------------------+----------------------+---------------------
678 678 3 | 1 2 4 | 78 5 9
4 578 579 | 56 3 569 | 2 1 78
1 2 9-5 | 7 e59 8 | 6 4 3
---------------------+----------------------+---------------------
3 4 1 | 9 7 2 | 5 8 6
78 78 6 | 34 45 35 | 1 9 2
5 9 2 | 8 16 16 | 3 7 4
*--------------------------------------------------------------*
| 2 c567 8 | 56 569 d5679 | 4 3 1 |
| 67 1 57 | 34 4568 3567 | 9 2 78 |
| 9 3 4 | 2 18 17 | 78 6 5 |
|--------------------+--------------------+--------------------|
| 678 678 3 | 1 2 4 | 78 5 9 |
| 4 b578 579 |a56 3 e9-56 | 2 1 78 |
| 1 2 59 | 7 59 8 | 6 4 3 |
|--------------------+--------------------+--------------------|
| 3 4 1 | 9 7 2 | 5 8 6 |
| 78 78 6 | 34 45 35 | 1 9 2 |
| 5 9 2 | 8 16 16 | 3 7 4 |
*--------------------------------------------------------------*
SteveG48 wrote:
- Code: Select all
*-----------------------------------------------------------*
| 2 b567 8 |a56 a569 5679 | 4 3 1 |
| 67 1 c57 | 34 4568 3567 | 9 2 78 |
| 9 3 4 | 2 18 17 | 78 6 5 |
*-------------------+-------------------+-------------------|
| 678 678 3 | 1 2 4 | 78 5 9 |
| 4 578 579 | 56 3 569 | 2 1 78 |
| 1 2 d59 | 7 5-9 8 | 6 4 3 |
*-------------------+-------------------+-------------------|
| 3 4 1 | 9 7 2 | 5 8 6 |
| 78 78 6 | 34 45 35 | 1 9 2 |
| 5 9 2 | 8 16 16 | 3 7 4 |
*-----------------------------------------------------------*
(9=56)r1c45 - (56=7)r1c2 - (7=5)r2c3 - (5=9)r6c3 => -9 r6c5 ; stte
Leren wrote:
- Code: Select all
*--------------------------------------------------------------*
| 2 c567 8 | 56 569 d5679 | 4 3 1 |
| 67 1 57 | 34 4568 3567 | 9 2 78 |
| 9 3 4 | 2 18 17 | 78 6 5 |
|--------------------+--------------------+--------------------|
| 678 678 3 | 1 2 4 | 78 5 9 |
| 4 b578 579 |a56 3 e9-56 | 2 1 78 |
| 1 2 59 | 7 59 8 | 6 4 3 |
|--------------------+--------------------+--------------------|
| 3 4 1 | 9 7 2 | 5 8 6 |
| 78 78 6 | 34 45 35 | 1 9 2 |
| 5 9 2 | 8 16 16 | 3 7 4 |
*--------------------------------------------------------------*
(6=5) r5c4 - (5) r5c2 = (5-7) r1c2 = (7-9) r1c6 = (9) r5c6 => - 56 r5c6; stte
daj95376 wrote:Leren wrote:
- Code: Select all
*--------------------------------------------------------------*
| 2 c567 8 | 56 569 d5679 | 4 3 1 |
| 67 1 57 | 34 4568 3567 | 9 2 78 |
| 9 3 4 | 2 18 17 | 78 6 5 |
|--------------------+--------------------+--------------------|
| 678 678 3 | 1 2 4 | 78 5 9 |
| 4 b578 579 |a56 3 e9-56 | 2 1 78 |
| 1 2 59 | 7 59 8 | 6 4 3 |
|--------------------+--------------------+--------------------|
| 3 4 1 | 9 7 2 | 5 8 6 |
| 78 78 6 | 34 45 35 | 1 9 2 |
| 5 9 2 | 8 16 16 | 3 7 4 |
*--------------------------------------------------------------*
(6=5) r5c4 - (5) r5c2 = (5-7) r1c2 = (7-9) r1c6 = (9) r5c6 => - 56 r5c6; stte
Leren, it would be nice if you mentioned that your eliminations resulted from overlapping chains.
*-----------------------------------------------------------*
| 2 c567 8 | 56 569 d567-9 | 4 3 1 |
| 67 1 57 | 34 4568 3567 | 9 2 78 |
| 9 3 4 | 2 18 17 | 78 6 5 |
|-------------------+-------------------+-------------------|
| 678 678 3 | 1 2 4 | 78 5 9 |
| 4 b578 579 |a56 3 a56=9 | 2 1 78 |
| 1 2 59 | 7 59 8 | 6 4 3 |
|-------------------+-------------------+-------------------|
| 3 4 1 | 9 7 2 | 5 8 6 |
| 78 78 6 | 34 45 35 | 1 9 2 |
| 5 9 2 | 8 16 16 | 3 7 4 |
*-----------------------------------------------------------*
tlanglet wrote:Danny, another view of the pattern is: ANP(9=56)r5c64-5r5c2=(5-7)r1c2=7r1c6 => r1c6<>9
L-Wing: turbot fish (*) on <7> w/extension on <9> in [r5] or [c6]
+--------------------------------------------------------------+
| 2 *567 8 | 56 569 *5679 | 4 3 1 |
| 67 1 *57 | 34 4568 3567 | 9 2 78 |
| 9 3 4 | 2 18 17 | 78 6 5 |
|--------------------+--------------------+--------------------|
| 678 678 3 | 1 2 4 | 78 5 9 |
| 4 578 *579 | 56 3 569 | 2 1 78 |
| 1 2 59 | 7 59 8 | 6 4 3 |
|--------------------+--------------------+--------------------|
| 3 4 1 | 9 7 2 | 5 8 6 |
| 78 78 6 | 34 45 35 | 1 9 2 |
| 5 9 2 | 8 16 16 | 3 7 4 |
+--------------------------------------------------------------+
# 43 eliminations remain
* * * *
L-Wing: 7r1c6 = r1c2 - r2c3 = (7-9)r5c3 = 9r5c6 => r1c6<>9 -or-
L-Wing: 7r5c3 = r2c3 - r1c2 = (7-9)r1c6 = 9r5c6 => r5c3<>9
-or-
discontinuous loop: 9r5c6 = (9-7)r5c3 = r2c3 - r1c2 = (7-9)r1c6 = 9r5c6
+-------------+--------------+---------+
| 2 567 8 | 56 569 5679 | 4 3 1 |
| 67 1 57 | 34 4568 3567 | 9 2 78 |
| 9 3 4 | 2 18 17 | 78 6 5 |
+-------------+--------------+---------+
| 678 678 3 | 1 2 4 | 78 5 9 |
| 4 578 579 | 56 3 569 | 2 1 78 |
| 1 2 59 | 7 59 8 | 6 4 3 |
+-------------+--------------+---------+
| 3 4 1 | 9 7 2 | 5 8 6 |
| 78 78 6 | 34 45 35 | 1 9 2 |
| 5 9 2 | 8 16 16 | 3 7 4 |
+-------------+--------------+---------+
daj95376 wrote:Steve, your first two terms can be joined to form:
(9=7)r1c452 - (7=5)r2c3 - (5=9)r6c3 => -9 r6c5 ; stte
Marty R. wrote:UR (56), r15,c46, using internals. 7r1c6=9r1c6=9r5c6.
7r1c6-(765=9)r1c245-(9=5)r6c5
9r1c6-(956=7)r1c452-(7=5)r2c3-r6c3=5r6c5
9r5c6-(9=5)r6c5=>r6c5=5
*-----------------------------------------------------------*
| 2 567 8 | 56 569 5679 | 4 3 1 |
| 67 1 5-7 |*34 *45+68*35+67 | 9 2 78 |
| 9 3 4 | 2 18 17 | 78 6 5 |
|-------------------+-------------------+-------------------|
| 678 678 3 | 1 2 4 | 78 5 9 |
| 4 578 579 | 56 3 569 | 2 1 78 |
| 1 2 59 | 7 59 8 | 6 4 3 |
|-------------------+-------------------+-------------------|
| 3 4 1 | 9 7 2 | 5 8 6 |
| 78 78 6 |*34 *45 *35 | 1 9 2 |
| 5 9 2 | 8 16 16 | 3 7 4 |
*-----------------------------------------------------------*
How you been, Marty? There's a slightly more efficient DP in stack 2 ... with a lone "out."