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Set H Puzzle 34

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Tue Jan 06, 2009 10:23 pm Post subject: Set H Puzzle 34

Code:

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

Play this puzzle online at the Daily Sudoku site

----- ----- ----- ----- ----- ----- ----- ----- ----- ----- ----- ----- -----

Can be solved with ...

Basics: Naked/Hidden Single, Naked Pair/Triple, Locked Candidate 1/2

Basics+: Naked Quad, Hidden Pair/Triple/Quad

VH: BUG+1, UR Type 1, X-Wing, XY-Wing

Advanced: 2-String Kite, Empty Rectangle, Skyscraper, UR Type 2, XYZ-Wing

Extreme: finned X-Wing, M-Wing, W-Wing, XY-Chain

Extreme+: Swordfish, Jellyfish, (but mostly) Chain

Marty R.

Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

Posted: Wed Jan 07, 2009 12:34 am Post subject:

This was one of those bend-but-don't-break puzzles that I enjoy. A couple of Finned X-Wings, an XY-, W- and XY-Wing, kite and an XYZ-Wing to finish it off.

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Wed Jan 07, 2009 1:18 am Post subject:

three step route.

Code:

.---------------------.---------------------.---------------------.
| 2 3 1 | 7 4 8 | 9 5 6 |
| 6 4 9 | 125 125 25 | 3 8 7 |
| 5 7 8 | 3 6 9 | 1 2 4 |
:---------------------+---------------------+---------------------:
| 8 159 57 | 6 1359 347 | 2 349 359 |
|*79 6 257 | 245 2359 347 | 8 34-9 1 |
| 3 1259 4 | 1258 12589 25 | 6 7 59 |
:---------------------+---------------------+---------------------:
| 4 8 257 | 9 235 6 | 57 1 23 |
|*79 259 3 | 2458 258 1 | 457 6 *29 |
| 1 259 6 | 245 7 34 | 45 *39 8 |
'---------------------'---------------------'---------------------'

multi-coloring on 9 eliminates the 9 in r5c8
{9}... r5c1 = r8c1 - r8c9 = r9c8; r5c8 <> 9

Code:

.---------------------.---------------------.---------------------.
| 2 3 1 | 7 4 8 | 9 5 6 |
| 6 4 9 | 125 125 25 | 3 8 7 |
| 5 7 8 | 3 6 9 | 1 2 4 |
:---------------------+---------------------+---------------------:
| 8 159 57 | 6 1359 W347 | 2 W349 359 |
| 79 6 257 | 245 2359 347 | 8 W34 1 |
| 3 1259 4 | 1258 12589 25 | 6 7 59 |
:---------------------+---------------------+---------------------:
| 4 8 257 | 9 235 6 | 57 1 23 |
| 79 259 3 | 2458 258 1 | 457 6 29 |
| 1 259 6 | 245 7 W34 | 45 39 8 |
'---------------------'---------------------'---------------------'

w-wing {3,4}... (3=4)r5c8 - (4)r4c8 = (4)r4c6 - (4=3)r9c6; r9c8 <> 3

Code:

.------------------.------------------.------------------.
| 2 3 1 | 7 4 8 | 9 5 6 |
| 6 4 9 | 125 125 25 | 3 8 7 |
| 5 7 8 | 3 6 9 | 1 2 4 |
:------------------+------------------+------------------:
| 8 159 57 | 6 139 47 | 2 34 59 |
| 79 6 *25 |*25 39 47 | 8 34 1 |
| 3 1259 4 | 18 189 25 | 6 7 59 |
:------------------+------------------+------------------:
| 4 8 *257 | 9 25 6 | 57 1 3 |
| 79 59 3 | 458 58 1 | 457 6 2 |
| 1 *25 6 | 245 7 3 | 45 9 8 |
'------------------'------------------'------------------'

coloring 2's... r5c4 = r5c3 - r7c3 = r9c2; r9c4 <> 2
singles to end.

Marty R.

Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

Posted: Wed Jan 07, 2009 1:32 am Post subject:

Quote:

Code:

multi-coloring on 9 eliminates the 9 in r5c8
{9}... r5c1 = r8c1 - r8c9 = r9c8; r5c8 <> 9

That's the kite I used if you move the * from r8c9 to r9c2.

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