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Apr 20 VH

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ZeroAssoluto

Joined: 05 Feb 2017
Posts: 942
Location: Rimini, Italy

Posted: Wed Apr 20, 2022 8:39 am Post subject: Apr 20 VH

Hi everyone,

Code:

+--------------+-------------+---------+
| 6 7 5 | 3 2 8 | 4 1 9 |
| 4 3 12 | 7 16 9 | 5 8 26 |
| 9 12 8 | 15 146 145 | 7 3 26 |
+--------------+-------------+---------+
| 1 8 49 | 6 49 7 | 3 2 5 |
| 3 249 2469 | 19 5 14 | 69 7 8 |
| 57 59 679 | 2 8 3 | 69 4 1 |
+--------------+-------------+---------+
| 578 6 137 | 158 13 15 | 2 9 4 |
| 2 19 139 | 4 139 6 | 8 5 7 |
| 58 459 49 | 589 7 2 | 1 6 3 |
+--------------+-------------+---------+

Play this puzzle online at the Daily Sudoku site

Quote:

XYZ-Wing 4,5,9 in r6c2,r9c23 and -9 in r8c2
or
Skyscraper with number 9 in
r4c35,r8c25 and -9 in r56c2,r9c3
r49c3,r59c4 and -9 in r4c5,r5c2
r49c3,r48c5 and -9 in r8c2,r9c4
or
W-Wing 4,9 in r4c5,r9c3 SL with number 9 in r8c25 and -4 in r4c3

Ciao Gianni

TomC

Joined: 30 Oct 2020
Posts: 358
Location: Wales

Posted: Wed Apr 20, 2022 9:29 am Post subject:

Code:

+----------------+-------------+---------+
| 6 7 5 | 3 2 8 | 4 1 9 |
| 4 3 12 | 7 16 9 | 5 8 26 |
| 9 c12 8 | 15 146 145 | 7 3 26 |
+----------------+-------------+---------+
| 1 8 e49 | 6 49 7 | 3 2 5 |
| 3 d249 2469 | 19 5 14 | 69 7 8 |
| 57 a59 679 | 2 8 3 | 69 4 1 |
+----------------+-------------+---------+
| 578 6 137 | 158 13 15 | 2 9 4 |
| 2 b19 139 | 4 139 6 | 8 5 7 |
| 58 459 49 | 589 7 2 | 1 6 3 |
+----------------+-------------+---------+

Let's try my hand at eureka!

(5=9)a-(9=1)b-(1=2)c-(29=4)d-(4=9)e-(9=5)a so a <> 9 to solve

Or go backwards

(5=9)a-(9=4)e-(49=2)d-(2=1)c-(1=9)b-(9=5)a

Earl

Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

Posted: Wed Apr 20, 2022 1:44 pm Post subject: Apr20 VH

Finned xwing in 9s; R4,8: R8C2=9 or 1, R9C3=4 Early Earl

TomC

Joined: 30 Oct 2020
Posts: 358
Location: Wales

Posted: Wed Apr 20, 2022 2:28 pm Post subject:

Looking again at my grid, whatever you put in d <249> still shows that a cannot be <9>

Mogulmeister

Joined: 03 May 2007
Posts: 1151

Posted: Thu Apr 21, 2022 1:25 pm Post subject:

Well done with the Eureka, Tom.

Also the ANP with d and e (using Tom's grid and lettering)

Code:

d c b a
If ANP is false then (49=2)-(2=1)-(1=9)-(9=5) and a < > 9
d+e a
If ANP is true then (2=49|49)-(9=5) and a < > 9

dongrave

Joined: 06 Mar 2014
Posts: 568

Posted: Sat Apr 23, 2022 1:01 am Post subject:

TomC wrote:

Code:

Let's try my hand at eureka!

(5=9)a-(9=1)b-(1=2)c-(29=4)d-(4=9)e-(9=5)a so a <> 9 to solve

Or go backwards

(5=9)a-(9=4)e-(49=2)d-(2=1)c-(1=9)b-(9=5)a

Nice going Tom! Once you get used to Eureka it's not so bad. I have to admit though the first time that I saw it I absolutely hated it!! Whoever came up with it obviously had no background in logic (deductive, symbolic, mathematical, or other). If they had, they never would have adopted such a horrible notation!

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