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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Wed Sep 08, 2021 12:35 pm Post subject: One from Ted |
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Have fun.
Code: | +-------+-------+-------+
| . . . | 4 5 . | . 2 . |
| 3 9 . | . 7 . | . 4 . |
| . . 5 | . . 2 | 1 . . |
+-------+-------+-------+
| . . 6 | . . . | . . 2 |
| 5 1 . | . . . | . 7 9 |
| 9 . . | . . . | 5 . . |
+-------+-------+-------+
| . . 7 | 6 . . | 8 . . |
| . 5 . | . 2 . | . 3 6 |
| . 6 . | . 3 8 | . . . |
+-------+-------+-------+ |
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immpy
Joined: 06 May 2017 Posts: 571
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Posted: Thu Sep 09, 2021 4:15 pm Post subject: |
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Wow, great puzzle Mogulmeister. EXTREME! Will be interested to see what folks come up with for one step solutions. I couldn't do it. Saw multiple ALS scenarios, among other things, though. Challenging puzzle to be sure.
cheers...immp |
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dongrave
Joined: 06 Mar 2014 Posts: 568
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Posted: Sat Sep 11, 2021 2:23 pm Post subject: |
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This one was too tough for me! I couldn't even find the possibility of a single step solution! I did see some back door solutions but of course they're no help when you're trying to solve it properly. |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Sat Sep 11, 2021 2:41 pm Post subject: |
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It is very tough. Multi steps welcome. |
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Clement
Joined: 24 Apr 2006 Posts: 1111 Location: Dar es Salaam Tanzania
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Posted: Mon Sep 13, 2021 4:14 pm Post subject: One from Ted |
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Opted for a two stepper Code: |
+----------------------+----------------------+-------------------+
| 1678 78 e18 | 4 5 369 |a79 2 378 |
| 3 9 2 | 8 7 1 | 6 4 5 |
| 4678 478 5 | 39 69 2 | 1 i8-9 378 |
+----------------------+----------------------+-------------------+
|g478 g478 6 | 1359 1489 3459 | 34 h18 2 |
| 5 1 f348 | 2 468 346 | 34 7 9 |
| 9 2 f348 | 137 148 347 | 5 6 18 |
+----------------------+----------------------+-------------------+
| 2 3 7 | 6 c149 c459 | 8 b159 b14 |
| 148 5 e1489 | 179 2 d4*79 |b79* 3 6 |
| 14 6 149 | 1579 3 8 | 2 b159 147 |
+----------------------+----------------------+-------------------+
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Step 1: (9)r1c7 = (91|54)b9p4283 (4)r7c56 = (4*)r8c6 (4*9*=1|8)r81c3 (8)r56c3 = r4c12 r4c8 = (8)r3c8 => - 9r3c8
Code: |
+-----------------------+--------------------+-----------------+
| 1678 78 e18 | 4 5 b36 | 9 2 37 |
| 3 9 2 | 8 7 1 | 6 4 5 |
| 467 47 5 |a39 69 2 | 1 8 37 |
+-----------------------+--------------------+-----------------+
| 478 478 6 | 5 89 349 | 34 1 2 |
| 5 1 e348 | 2 d68 c346 | 34 7 9 |
| 9 2 34 | 13 14 7 | 5 6 8 |
+-----------------------+--------------------+-----------------+
| 2 3 7 | 6 14 5 | 8 9 14 |
| 148 5 e148 | 1-9 2 f49 | 7 3 6 |
| 14 6 9 | 7 3 8 | 2 5 14 |
+-----------------------+--------------------+-----------------+
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Step 2: (9=3)r3c4 (3=6)r1c6 r5c6 = (6-8)r5c5 = (814)r518c3 (4=9)r8c6 => - 9r8c4; stte |
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dongrave
Joined: 06 Mar 2014 Posts: 568
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Posted: Mon Sep 13, 2021 7:20 pm Post subject: |
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Wow! Nice job Clement! |
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Clement
Joined: 24 Apr 2006 Posts: 1111 Location: Dar es Salaam Tanzania
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Posted: Wed Sep 15, 2021 9:09 am Post subject: |
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dongrave wrote: | Wow! Nice job Clement! | Thanks dongrave |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Thu Sep 16, 2021 8:50 am Post subject: |
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This was Teds solve in his own words:
I had another three step solution then reduced it to two steps
xy-wing (79-8)r1c72+r3c8; r1c9,r3c12<>8
AUR(47)r34c12 SIS r3c1=6, r4c12=8
(9=6)r3c5-AUR (47)r34c12[(6)r3c1=(8)r4c12]-r4c8=(8-9)r3c8=r1c7; r1c6,r3c8<>9
(4)r9c1=(4)r9c9-r7c9=r7c5-r6c5=r6c3; r8c3<>4
Note that xy-wing is not necessary:
AUR(47)r34c12 SIS r3c1=6, r34c12=8; r1c6,r3c8<>9
(6)r3c1-(6=9)r3c5
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(8)r3c12-(8=7=9)r1c27
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(8)r4c12-r4c8=(8-9)r3c8=r1c7
Ted |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Thu Sep 16, 2021 8:55 am Post subject: |
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Eureka note - here Ted has used (9) single number in brackets to indicate is 9. It is used also to indicate not 9 at the start of some Eureka chains. |
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