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dongrave
Joined: 06 Mar 2014
Posts: 568
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 Posted: Sat Jul 23, 2016 12:31 am Post subject: 1sudoku.com Evil Puzzle |
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I have a Eureka notation question for you experts about this one after the basics. Thanks, Don. | Code: |
1sudoku.net #520261 Evil
+-------+-------+-------+
| 9 . . | . . 2 | . . 4 |
| . 1 . | 3 . 4 | . 5 . |
| . . 4 | . . . | 7 . . |
+-------+-------+-------+
| 6 3 . | 8 . 5 | . 2 . |
| . . . | . 1 . | . . . |
| . 4 . | 6 . 3 | . 7 8 |
+-------+-------+-------+
| . . 1 | . . . | 6 . . |
| . 7 . | 5 . 8 | . 9 . |
| 4 . . | 7 . . | . . 5 |
+-------+-------+-------+
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JC Van Hay
Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium
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| Posted: Sat Jul 23, 2016 1:39 pm Post subject: |
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Are you refering to
| Code: | +--------------------+-------------+----------------+
| 9 (56) (356) | 1 7 2 | 38 368 4 |
| 7 1 (26) | 3 8 4 | 29 5 269 |
| 238 28 4 | 9 5 6 | 7 1 23 |
+--------------------+-------------+----------------+
| 6 3 7 | 8 49 5 | 149 2 19 |
| 258 2589 589-2 | 24 1 7 | 3459 346 369 |
| 1 4 59-2 | 6 29 3 | 59 7 8 |
+--------------------+-------------+----------------+
| 2358 258 1 | 24 234 9 | 6 348 7 |
| 23 7 (236) | 5 2346 8 | 1234 9 123 |
| 4 2689 3689-2 | 7 236 1 | 238 38 5 |
+--------------------+-------------+----------------+ |
[NT(236)r128c3=5r1c3-(5=6)r1c2-(6=2)r2c3]-2r569c3; stte
or
[2r28c3==5r1c3-5r1c3==2r2c3]-2r569c3; stte
Last edited by JC Van Hay on Sat Jul 23, 2016 7:55 pm; edited 1 time in total |
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dongrave
Joined: 06 Mar 2014
Posts: 568
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| Posted: Sat Jul 23, 2016 2:35 pm Post subject: |
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Hi JC, I used the same concept but mine is not as advanced as yours. I keep forgetting about grouping expressions in square brackets - and I've never seen the double equal signs used in Eureka before! I was able to figure out the translation of your 2nd expression but I was wondering - what is the exact meaning of the double equal sign?
My chain started by assuming that r6c5=9 so r6c7=5 so r6c3=2 so r2c3=6 so r1c2=5 so r1c3=3 so r8c3<>236 contradiction. I was trying to figure out how to express this in Eureka. I seem to recall seeing an expression that you posted a long time ago that used {} to indicate a column or a cell not having any possible value. Thanks! |
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bat999
Joined: 09 Jul 2015
Posts: 55
Location: UK
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| Posted: Sat Jul 23, 2016 5:44 pm Post subject: |
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| Code: | .---------------------.---------------.------------------.
| 9 d56 d356 | 1 7 2 | 38 c368 4 |
| 7 1 e26 | 3 8 4 | 29 5 269 |
| 238 28 4 | 9 5 6 | 7 1 23 |
:---------------------+---------------+------------------:
| 6 3 7 | 8 a49 5 | 149 2 19 |
| 258 2589 2589 | a24 1 7 | 3459 346 369 |
| 1 4 f259 | 6 2-9 3 | f59 7 8 |
:---------------------+---------------+------------------:
| 2358 258 1 | b24 234 9 | 6 c348 7 |
| 23 7 e236 | 5 2346 8 | 1234 9 123 |
| 4 2689 23689 | 7 236 1 | 238 c38 5 |
'---------------------'---------------'------------------' |
(9=2)r4c5,r5c4 - (2=4)r7c4 - (4=6)r179c8 - (6=3)r1c23 - (3=2)r28c3 - (2=9)r6c37 => -9 r6c5; stte
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bat999
Joined: 09 Jul 2015
Posts: 55
Location: UK
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| Posted: Sat Jul 23, 2016 6:40 pm Post subject: |
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| dongrave wrote: | | ... assuming that r6c5=9 so r6c7=5 so r6c3=2 so r2c3=6 so r1c2=5 so r1c3=3 so r8c3<>236 contradiction. I was trying to figure out how to express this in Eureka... |
Hi
Your idea is OK but it's clumsy to express in Eureka notation.
You said "If 9 is true in cell r6c5 then it will eliminate all three candidates from cell r8c3".
Now that you've found the contradiction look at it down the other end of the telescope.
Say "No matter which of the three candidates is true in cell r8c3 it will always eliminate the 9 from cell r6c5".
And construct three chains to prove it.
| Code: | .---------------------.---------------.------------------.
| 9 56b 356b | 1 7 2 | 38 368 4 |
| 7 1 26bB | 3 8 4 | 29 5 269 |
| 238 28 4 | 9 5 6 | 7 1 23 |
:---------------------+---------------+------------------:
| 6 3 7 | 8 49 5 | 149 2 19 |
| 258 2589 2589 | 24 1 7 | 3459 346 369 |
| 1 4 b259cC | 6 2-9 3 | b59cC 7 8 |
:---------------------+---------------+------------------:
| 2358 258 1 | 24 234 9 | 6 348 7 |
| 23 7 a236aA | 5 2346 8 | 1234 9 123 |
| 4 2689 23689 | 7 236 1 | 238 38c 5 |
'---------------------'---------------'------------------' |
(2)r8c3 - (2=9)r6c37 - (9)r6c5
(3)r8c3 - (3=2)r1c23,r2c3 - (2=9)r6c37 - (9)r6c5
(6)r8c3 - (6=2)r2c3 - (2=9)r6c37 - (9)r6c5
=> -9 r6c5; stte
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JC Van Hay
Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium
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| Posted: Sat Jul 23, 2016 7:53 pm Post subject: |
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Hi dongrave, r8c3={} doesn't depend on r6c57 but on the hypothesis r6c3=2. Therefore, you only have to concentrate on the 4 cells r1c2,r128c3 as I did.
Note :
The double equal sign == is used in the case of a derived strong link. In the simplest case of derived strong links from ALS, some players would have written the chain as
(2=356)r128c3-(5=26)r1c2,r2c3 -> -2r569c3
or
(2=5)r128c3-(5=2)r1c3,r2c3 -> -2r569c3.
I let you decide which notation is clearer  |
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dongrave
Joined: 06 Mar 2014
Posts: 568
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| Posted: Sat Jul 23, 2016 8:16 pm Post subject: |
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| Thanks for your help guys! I'm going to go print out your postings and study it until it sinks in! Don. |
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Clement
Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
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| Posted: Mon Jul 25, 2016 11:27 pm Post subject: 1sudoku.com Evil Puzzle |
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| Code: |
+-----------------+-----------+--------------+
| 9 c56 b56-3 | 1 7 2 | 38 368 4 |
| 7 1 26 | 3 8 4 | 29 5 269 |
| a238 d28 4 | 9 5 6 | 7 1 23 |
+-----------------+-----------+--------------+
| 6 3 7 | 8 g49 5 | 149 2 f19 |
| i258 id2589 i2589 | h24 1 7 | 3459 346 369 |
| 1 4 j259 | 6 29 3 | 59 7 8 |
+-----------------+-----------+--------------+
| 258-3 d258 1 | 24 234 9 | 6 348 7 |
| e2-3 7 ke236 | 5 2346 8 | 1234 9 e123 |
| 4 d2689 23689 | 7 236 1 | 238 38 5 |
+-----------------+-----------+--------------+
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(3)r3c1= (3-5)r1c3 = r1c2 - (5=6*)r3579c2 - (6-1)r8c139 - (1=9)r4c9 - (9=4)r4c5 - (4=2)r5c4 - r5c123 = (2*)r6c3 - (2*6*=3)r8c3 => -3 r1c3, r78c1; stte |
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