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Apr-25 DB (MM 1750)

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peterj

Joined: 26 Mar 2010
Posts: 974
Location: London, UK

Posted: Sun Apr 25, 2010 8:13 am Post subject: Apr-25 DB (MM 1750)

Quite an interesting one (for me anyway!)

Code:

+-------+-------+-------+
| . 9 . | 1 . . | . 6 5 |
| . 7 . | . . . | . . 9 |
| . 4 3 | 5 . . | . 2 . |
+-------+-------+-------+
| . . . | 9 6 7 | . . 2 |
| . . . | . . . | . . . |
| 2 . . | 8 3 4 | . . . |
+-------+-------+-------+
| . 8 . | . . 1 | 5 7 . |
| 3 . . | . . . | . 1 . |
| 7 . . | . . 9 | . 4 . |
+-------+-------+-------+

Three steps...

Quote:

Type-6 UR(36); r7c4<>3, r9c9<>3
Kite(6); r7c1<>6
xy-chain: (6=8)r3c6-(8=4)r2c5-(4=5)r8c5-(5=4)r8c3-(4=9)r7c1-(9=6)r5c1; r3c1<>6

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Apr 25, 2010 9:44 am Post subject: Re: Apr-25 DB (MM 1750)

peterj wrote:

Quite an interesting one (for me anyway!)

More so for those who like M-Wings/Rings.

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Sun Apr 25, 2010 11:59 pm Post subject:

two step solution

Code:

+-------------------+-------------+----------------+
| 8 9 2 | 1 7 3 | 4 6 5 |
| 16(5) 7 16-5 | 46 48 2 | 138 38 9 |
| 16 4 3 | 5 9 68 | 178 2 17 |
+-------------------+-------------+----------------+
| 1(45) 135 1458 | 9 6 7 | 138 358 2 |
| 69 36 6789 | 2 1 5 | 3678 389 4 |
| 2 156 15679 | 8 3 4 | 167 59 17 |
+-------------------+-------------+----------------+
| 69(4) 8 469 | 346 2 1 | 5 7 36 |
| 3 2 (45) | 7 45 68 | 9 1 68 |
| 7 156 156 | 36 58 9 | 2 4 368 |
+-------------------+-------------+----------------+

m-wing {4,5}
removes the 5 in r2c3

Code:

+------------------+-----------------+----------------+
| 8 9 2 | 1 7 3 | 4 6 5 |
| 5 7 16 | 46 48 2 | 138 38 9 |
| (16) 4 3 | 5 9 (68) | 178 2 17 |
+------------------+-----------------+----------------+
| (14) 135 158-4 | 9 6 7 | 138 358 2 |
| 69 36 6789 | 2 1 5 | 3678 389 4 |
| 2 156 15679 | 8 3 4 | 167 59 17 |
+------------------+-----------------+----------------+
| 69-4 8 469 | 346 2 1 | 5 7 36 |
| 3 2 (45) | 7 4(5) 6(8) | 9 1 68 |
| 7 156 156 | 36 (58) 9 | 2 4 368 |
+------------------+-----------------+----------------+

(4=1)r4c1 - (1=6)r3c1 - (6=8)r3c6 - (8)r8c6 = (8-5)r9c5 = (5)r8c5 - (5=4)r8c3
r4c3 and r7c1 <> 4

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Mon Apr 26, 2010 4:44 am Post subject:

For those looking for examples of M-Wings.

Code:

r79c49 <36> UR Type 6.2233 r7c9,r9c4<>6

turbot fish/ER/Kite <> 6 r7c1

Code:

Type 7A: (5=4)r8c3 - r7c1 = (4-5)r4c1 = (5)r2c1 => r2c3<>5
Type 7B: (5=4)r8c3 - r4c3 = (4-5)r4c1 = (5)r2c1 => r2c3<>5
+-----------------------------------------------------------------------+
| 8 9 2 | 1 7 3 | 4 6 5 |
| 156 7 156 | 46 48 2 | 138 38 9 |
| 16 4 3 | 5 9 68 | 178 2 17 |
|-----------------------+-----------------------+-----------------------|
| 145 135 1458 | 9 6 7 | 138 358 2 |
| 69 36 6789 | 2 1 5 | 3678 389 4 |
| 2 156 15679 | 8 3 4 | 167 59 17 |
|-----------------------+-----------------------+-----------------------|
| 49 8 469 | 46 2 1 | 5 7 3 |
| 3 2 45 | 7 45 68 | 9 1 68 |
| 7 156 156 | 3 58 9 | 2 4 68 |
+-----------------------------------------------------------------------+
# 59 eliminations remain

Code:

r27 X-Wing <> 6 r569c3

Colors <> 1 r4c7

<56+9> XY-Wing r6c2/r5c1+r6c8 <> 9 r5c8,r6c3

Code:

Type 6A: (6=9)r5c1 - r5c3 = (9-6)r7c3 = (6)r9c2 => r56c2<>6
Type 6B: (6=9)r5c1 - r7c1 = (9-6)r7c3 = (6)r9c2 => r56c2<>6
-plus-
Type 7A: (6=9)r5c1 - r5c3 = (9-6)r7c3 = (6)r2c3 => r3c1<>6
Type 7B: (6=9)r5c1 - r7c1 = (9-6)r7c3 = (6)r2c3 => r3c1<>6
+-----------------------------------------------------+
| 8 9 2 | 1 7 3 | 4 6 5 |
| 5 7 16 | 46 48 2 | 138 38 9 |
| 16 4 3 | 5 9 68 | 178 2 17 |
|-----------------+-----------------+-----------------|
| 14 13 148 | 9 6 7 | 38 5 2 |
| 69 36 789 | 2 1 5 | 67 38 4 |
| 2 56 57 | 8 3 4 | 167 9 17 |
|-----------------+-----------------+-----------------|
| 49 8 469 | 46 2 1 | 5 7 3 |
| 3 2 45 | 7 45 68 | 9 1 68 |
| 7 156 15 | 3 58 9 | 2 4 68 |
+-----------------------------------------------------+
# 40 eliminations remain

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